{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 5, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 5, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 5, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 5, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 5, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 
 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 
 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 
 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 
 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 
 2, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 
 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 
 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 
 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 
 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 
 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 
 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 
 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 
 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 
 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 
 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 
 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 
 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 
 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 
 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 
 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 
 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 
 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 
 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 
 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 
 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 
 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 
 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 
 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 
 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 
 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 
 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 
 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 
 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 
 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 
 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 
 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 
 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 
 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 
 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 
 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 
 1, 0, 1, 0, 4, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 
 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 
 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 
 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 2, 
 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 1, 0, 
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 
 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 
 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 
 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 
 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 
 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 
 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 1, 
 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 
 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 1, 1, 0, 1, 
 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 
 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 
 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 
 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 0, 0, 
 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 
 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 
 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 
 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 
 0, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 
 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 
 2, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 
 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 
 4, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 
 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 
 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 
 0, 0, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 
 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 
 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 
 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 1, 
 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 
 1, 0, 1, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 
 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 1, 
 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 
 0, 2, 0, 2, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 0, 1, 
 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 
 2, 0, 3, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0}