# Computed by Robert Israel using Maple, August 12 2018
0 1
1 1
2 10
3 101
4 1111
5 110100
6 11001011
7 1101101101
8 1000000101100
9 101001010011011
10 11100010100000111
11 10100101101010101010
12 10000000100101101011101
13 1101001011101001000010101
14 1011011000001110010001111010
15 1010010011011100100010111010001
16 1001110000101010100100011101000011
17 1001101001011001000011001000110101100
18 1001111011001110111100100001110000001111
19 1010100111000001010100001101111011010000001
20 1011110000101011111000000100111111001011101100
21 1101011111110010000111110101101001110001001001111
22 10000000000101101010110000110101100011001110111011011
23 10011100110111000000001111110001000111001111111100111010
24 11000110000010111010011101010010100110000000111000100101001
25 100000001011111100101010101010010110011001000010101101011111001
26 101011000011000101100110111100000101110000001000110000011010110010
27 111011001010101011000011010111100001111010111101011000101110110001101
28 1010011011111011010101000100111001000110000000111100100010001000000100111
29 1111000110110101011010100010001100001110110001101010000101001100110110000100
30 10110011010011100101101100100110010111011111000001011100101000110001001101100011
31 100010000011101101000001101101001001000011111101110001110100011101111100100011100101
32 110100111101110101111111010110010100001011000100010111000110110000101111010101001001100
33 1010100001111111000010110100101110101100111001000000110100011001001110011010110111101010011
34 10001000111110000100000001010111000110111010010000000111110000111101001110100010111101010011111
35 11100011011110011000111010011110100100111011101101111000101000000110000100101110110101110101001010
36 110000001101100010100111111000010101010101011110011001110011110001010011000001100011011100100010100101
37 1010011011010010101110011110001011100010010111101100111001000110010000010010011001000101011101000011101101
38 10010011001011100000001011001000010101111101100111101110111011111001110110100010101110101100100100110110101010
39 100001000101110111000000011001110011011001010101010010001101000011101100101000110010101100010110011110000101111001
40 111100101001011101001110100011010100001000101100000101000110011010011011000011011100011010110000010011111010111111011
41 1110001001101000011000100101110101010011001111000101000101010000111110011101100000100000000111011100101000000111010111100
42 11010111000111100001110111011011101000111001000101110000111101101111010011111011110000110101111111101100011011010111010000111
43 110011111111111100101000110110100000110100011010011000100100010000100110011100010100010010111101011101001100111111010111111011001
44 1100110010010101000010011000110101000011101011000010001100011111101101000000111100010110010101100000000000011101101000101110011001100
45 11001100100111110011101001000011111000001000111011110010010001100011010101101000001100011011101010001001100111001010101111010001001100111
46 110100000000101110111001111101000010010000110000110110001000010000000101010100001110100011011101001010101001010100111011000100011011110010011
47 1101011011110011111010101010111010111110011001000101011101111010001101001100011101100111010101101111101001110101111110111000101100001010001011010
48 11100001100111010010100101011010011111100111101000101100011011110110111011111100110111111110001101011110000000101100101010101001110001001011000010001
49 111100000111110100000010000010100000011111011101110110101010110001110101111110010011001001011100110011110001011101010111011000101111001101010111100110001
50 10000010001000001010100000101111100000101001000100100000100011000110010001100110010000100010000100001001100110110010001001000011001011010101010100001001100010
51 100011101110111010000110010100010011101001100010010101011000110010100111111000111010110101101000000101111111000111000110001110101100000000000101111101110011010101
52 1001111101001101100001101000000000111111011100000111100010101000000010001001001011001110100101000001001101010000011111010111101110111100001111001001000010111011111111
53 10110100000111000101100011101100001101100011110010111111111100110010000000100001001100111111010111111011000101100111000001101111000101101110111001111010001010110001010100
54 110011101000010110110010101101110111111111100101100110010100010100010001100001111011100010010110011101000111010101110110010000100101110100011101001100101010000110010000111011
55 1111000000011010100101101111011011000111011101011111011100111101011100101010010110101110010111010010101011001010110100101011100001100111111001100101110010110010100000000110011101
56 100011010111101110100000000011101010010001101101110000110011001001101000011110000010100001111000010001010011000110000111000100101111011111001001011101010111000110010110011010011101100
57 1010100011111011100101100000111110111110111011000111101010111010010110101011110000110101001000010111101001010110010010001000000010001001111101010011110101000011101100000011101001101001011
58 11001100011111110111001100101010110110000110011011100000001100101100110100000011001010100110110101100110101010011101110101100010110000010001001001101010100110001001011000100001000001111110111
59 111110101011001010100101000001001011000010001001011010100111101110100010000010010010000111101001111010010100010100110110100001111110000101101011000010011011111100011010011100101000101110111101010
60 10011011101000101010101001001000111001100101010001111111010100111111010100110111000101101100010101110000111001101111011110010101101001100000010101101001000110000101001011100011010111010001011010101101
61 110000111010110011010110001010110101011011000100100110110010000110011001001111111100010101000101111100110010010100000011101111011000101001000110111000010101011011011010001110100000010111100011101000000101
62 1111100100010001011110110011010101110101001100101000010011100110111011111111011110000101011111011001011011101111111111111111110010100111110101001111101000111100110000010110010000000001110100100100011111011010
63 101000000111001110111110001000000000110111111100010000011100011111000111110110001010010100110011001110100000111111111011011100101011010110001100001101011000001010010010010100100110111000011001101101000011111100001
64 1101000100110111101010111001001000010011111001011101011001001010101001110000101101001110011000111001001010111110111110000010101000010010000101001110000100000000010111111010000100010111001100111011100110111000001110011
65 100010100000010011101000010110111111101110101010110001000101010010111010001011101001000010110000010010111010000011000000001111101011111000001111010101101110101101010111101011101110000010011110111111001110101111000101001100
66 1011100000111010011000001010100011110101000110100100000011110000101101001000010100101000000110110110110110010011111000110001111101110100001110010010010000001000000111100011011111100010111010001010010000011101001110111000111111
67 11111000101111010101001101111010001110011001000111100011111100100011110000111111010110111000111010111101101011011111101010001000110010101111001000110010011010010101001000111011001101010110100110011101000001110101001011100101110001
68 1010100111010011101110010001100101111101011010110011000011100000110111011001100101010111001100001101011011010111100100110001010111001100101100010010100010111010111001101101111111011110111010101110000111101101011000100110000000100101100
69 11101010011111101011110101010011011011111011001110101000000001100101000101011010111001100001100111000101100010011100100100100011001000000100011110011001110010101011111011111001000110010111011111011110001100110110010100010010100110010111111
70 1010001110101110011100101000000001011000010101000101000001010001110101100100011010110100001010001001010101010010110011011010011000010100001000000000001000100101010110110001011111011011001111011110100101011000000011010000111111110110011000001011
71 11100110111111100101001010000111000011111111010101100111110100111101000111111111001110100010011101010110110000000000111100110011100101110000010011100100111110000000000001111000100000011101111111010111101100011101111110101010111000001111110101111010
72 1010010010111110101100000110000111100110110011000001011001011010100100010010100011101110100010010110111110110110110001000110001111011100011010110000011000101010000001100010100110110011100110110111101100010011101000010010110110011101010110011110010111001
73 11101101011111000000101100111111100110101010010111100101100001000010100100011010000000100001111100101111011010110000010010110111101111100011111011001010101111000000110001101001000110011010011011010001001101001010011111111010100101100000000110001001010101001
74 1010110011110110010001100000111110101010101010100001010100001110110010111000000011000100100110011110000010000000000110010100111010110001101101001001010010000010001101001100000010101110100110010000001110011001101011111111011101110010001011111110100001001100010010
75 11111110100010101110000010100001110110110010010011000000010000001110100010110010110000110011100010100000000110110100111011011111000101001100001100100100101100110101010001010111011000001111001101110111110110110011111000101101111000110110000101011001000011001111011101
76 1011110100110110001011100100100111101100101011011100010000000111110011110001000001101010010010001100000100010010111110111111001001001101100101110011010100100011011000010001100111111110000101111110100001110011000011010100011010110111011000010101101000101110100001010010111
77 100011100001000011000100100010101010101010011011101110000101110000000010100001110100011101110011001101101100011011000111011110100101001010011101110011100110101100101000011111101101101111110001111010110110011101010011010011100011100111011110000110111001110111100111010010100100
78 1101011101110100110011100011110111110101101011011100110110001110011001011101011111110001101011000100101101110010111011111110011100111011011011011010011100110010110000110010011011100010010110101111110001001010010011011110111010110000101011011001111010010110111001111010110101010011
79 101001001111110001110000000011110001010001011010110001001010111011000011011111010001000000000101101100110001011100011101100011100100111100110101010001011001011011100000100101001101100000011110010110011000001111011001111010000001111010001101000101011111010110000101100001000101110010101
80 1111111100100001011001010101110101001111001111000110000010001001010011110001000110101011011011111001010110100010000100101100010011000000001110010001000111010100001001010111010001000110011001110001101001000111110001110110000110101101100001110011011101010001101110100111110000111010000001100
81 110001110010100000010000010110011001100000011110011011001011010111111011100101110001010111001001011011111110101000110111001010100100000100000110111000000010110100110000100000010100101111001100110010010001010000111000100010100101101100111000001000001000111100111100000101000000111010000010000011
82 10011100111011111110000100110111001001010110101011011100000111101100010101100110111001110011001011100111010100101011011010001000101100111000000100001100111101101010100011000111111010011101101011001001101101110000111001001011010000111010010111000001101011010001001111011001001101001100110111100001111
83 111110011010011101010010011111110011110100101001001000001000010010110110011101110010011100010111110110000010111110010010101001100010111001011011001101010011010100101010000010101001011100110010101110101011100111000111001010000011110111011000111001101111110011110101111010011100000111101100011000010001010
84 11001000011010011010111100011100111100101101010011101010010100011001010101010111010001101110100000000100101001011100110011101100100010101110111110110000010010000010101101001101011101011111100110110111110000011010001101000001111001000000100111000110011111001110111010000100001001111011011000010101101101110101
85 1010001001011011100111001110110110000100000101010100100000101100001011011011110111001011001110011100101010001000000110001111000111101110111111110100110111101001101101111000011001100010111100010000100111011101110101011001001001110111010110110001001100111000101001010001110111100010000001111110000100001101101011101
86 100001001011100001100001100100111000101000110010101110011001100101000111100011001100111101101111100000000111001100101111110110000011101100001111111011000000011100001111001101010101100100010000110011100001001001010000011111011110101000010010011010110111111111110100010000011101100100100100100111001100000110001100001010
87 1101101011101101111001100000101111001011100101101110010110101000100010000111000100011010010011011010000010010000011111010001110110110110111011110011010001110110100010000101011010110100110000110100100111000110011000010000001111011010110001010101111010110111010111011000111111011110111100111000001100010100001010011100001001
88 101101100010101011101100110101000111010111111001100001100001111010010000100101110110101110010010000001010011111111110111101111101101101001110100110001010000010111100111111101110001001010010001110000010010110110000011110110010110000010111000011010010010001111111111001111000010100010011100101000101011110100100010000010010101011
89 10011000111010000100010101110101101101010010000100010010011000001011000100100100000110101110110111110001010011010001000111101110101011011010010000101100001000101111011101101111101101101000101100101101000010001110000000100100110010110000110010111111100100011101001000010000111101111000111001101011111100111100000100111101000101011100
90 1000000101110101101010010101000001011011011101010000110000001001101111011000011111111001001011000000110010111110110110101010110000110100101110110110100101101101000100010100111111111001110011010010110101110011110000110010110101001101000110101111001100001001100000111010000101001001110011000110000100000110010110110100111011001110100110111
91 11011101000110000111011010000011010111100011101001110011100101111000001100100001010001101101010100110110111110101000010001010111100000101101001110110001011010000110100101101100111110101111010100011010101100101111010101100100001110000110100011111101111010001011000000000110100011000111110100101110101011000110110111010001111001100100101001001
92 1011111001100110011000000101010101001000110001000101000111100010011110101100111111010100101111110111001011001111010101101010010110001101000010101000010010011001101100011010100100001000111001111110100111000001010001001010001110101001011110010001001000011110001111101000010001010011111001001000110000011100100001010001001011011101111000010000001100
93 101001010101011111100010110110100010101111100111010010101111111001010011010110000010100110111000101000001000011001001011100011111111010100111101101100100111101001000000110001101111001111111110100000011100011001101010010101011111111101010000010000110100011110101011100101011101111010101001100111101110010110001100101110110111010101111101100101101010111
94 10010000110001110010101111101001000010111001011010001000101101000100010101011010000100001100110110001010111110111010010111011000011001001001110001101100001100100000000111101101001010010100110100100010111001111100011111000001111100001100001110001011001100001001010000000001000001111110111010110010000101000111011101111101100111001111111100101101111101000011
95 111111111010000011000101001011011111111000011011111000001000111010011000011011100011011000100010000111010110011000001111011110101001110100100010000000000010000011101010011100010101001000111000111011110010001110110101101001111101000000011011000110100000000110011001100110100100001110001100001111000111111010110001100000001100100111100110100000000001111010011010
96 11100011100000111010001110111101110000110001001001111100101111001110100110011101000100111100111001001011100111010111110010111110111101010010000111001100011111011010111100010010000101111010110010001110001010011011101101111000110000001100111101111011001100000111011000110001011101110111101110010001000110001000100100110111011000100111000011001100101110000001100100001
97 1100110000100000001110100001111110011010111000101010010110010101111111110011100110011010110100100001101010011011011110111111101001101100000001010111001011011010011010000101110001100001001011110000000101100111111110010010011011101110011110001111100111010000001000111010010001001001001000111001111000110010010001011111010011000101101001001110100111101010101110101101100001
98 101110001001101011010010011011011111000110001111011110010110010110111110011010001111111010001101010010110101010110101101010001111011000010001110110100010011011100111100100110110110001010101110111110100111010011100100111000010100010010101100111101110101010010011110100000100011111100101100011000101011111101100111000100001011011100000011110011101011110111011011111100011000010
99 10101000010001010110100001101001100001111111101110011111010000110111000000010101000110000111011110000000010110110111010001000001011100100001110100101100100110000111111101010110001101001010000111000111010001100000011110101010110101000100100001011001110110000110100001000110000010111011110111011111101001000111101101100100100001101010010111010011001010011000111001010010100010100101
100 1001101010010101100100100100000001011010001111010100000101001011111001011001100010101001100101111000001001101100110111111111000110111101101100111011101111001111101100110111000110001110011110100101101101100001001010100110011011100111001011111100111111100100010011111011011111110010010100110010100101000010110000000011000010001011110010011111001011101001001001001000100011110000011101111
101 100011110001110011010001101000010010000001101011101011011011111010100011000011000000101000011111101100000010010100001110110001111110100111100011110011110010000010010111101000001010010101101001101100011011101000011101011000011000110110011001011000100111010111010110111110111100100110100100100010000111111100111001100000001100100111001111010010000010011011100110011110001111001011111001110100
102 10000101100000101011001100010010001000110011010100110100000111100101111111010010000000010010101101001100110100011110010110111100101111101110100110010101101001110011101110011100101100001111001010000101010001110011101000100110010101000100111110000000000111111101100011110110110111111111101010111101110100011001010111101010001100010010000011001010110000000001000110111110011000110101001100010101011
103 111110110000000010010100010001100001101101001100001111010100001001111110011111101001100100011101011001100011110001000111100001000011001101001001111100111110000101010110011111011100100101001100111011100011101110000100101011010101100010111110000100110111001010011100000110000100001100000001001001100001000001010011101001011010111001110101111111111110110011111111011110110001110100101000101010011001101
104 11101101101110010110110100100101001101101000101111010100010011111100101111001010000011100000001001110110111010011111001101001111001000111100000010100001001100001001111110101100010001101101110101110111101111110000100111001100001111000011100110101100111000101010111101100100100001111110100001111011101010110101111001111100111000011011000000011101000101111110110000111010111000100111110000000110101110101100
105 1110001011010100111010000001111000101111001011111010100000001100100101110011110111111001100011111100110011111001100011110000111100100000110111110001101010000010111101110001100100111001100110001000111010011011111000100000111110011100110100011010000010101101110110100010101010110001000000000000100001100111010110001001000011110000011100101001101010111110010000101011001111111100110101010111001101110100011111011
106 110110100000101010001100001000100001101110111000100111111111100011001010110110101100100111001010011101111100011001010011010001010010000011010010110110010001010101101100001001011011110011011100100101010100110011011011110100111101000000010101101110101111101000110111101010101111000110110111110011111110100111111110111000110110011111100010001001100000101010111111010101001011110100001100100100011010011111100111100111
107 11010011001000010011101000010010101110010010011000001101011011000110000011001001110001110000010110000101001000100010100111101110110001010100000010011001101011100011001001110001101001101110001011111011000000101101100100011000011001101100100100101010000001110101011011000001001110111000111100000000001110001000010011011110000101110010101011000011110100101001010111011001101110001100001001101100101100101110100100100101010
108 1100110111101100101101011011001111001100000000111111101011110000101011100001111011010111101101111111000100010100001001011110111010111000011001110110000111100001001010100100001111100010110110000010100110110100011011010000001101100011010111000111110010110000101001101011111110011000010111110001100101110111111001001111101111001000000101101010110100111110000000010000111100100110001000011001101000011100100110100100110011111101
109 110010100100101111000110010001101100001010111001101011101000110001111001000001111111100010011011111010110010000100101101010110100000100110101010100001111001101110101100100101000010001110001101001101101110110111010100000001001100110100100110001001111001110111000001001001000101011000010011100000011001010011100111000011110100100000110010001010110010011001100111011010100110111110101110000010011010100100101110010100001001011110101
110 11001000001001101101000111100101101011011011010010011100100011111110111100001010110000001000110100101101000100100010011100100101010001101000010011010000111101101101010110100001110011110000001001010001111000000100111000001111000111100010011010001110111010011000010110100001100001111100111000011010001100111111110111010000011010110001100110111010010000100011000001100100001111011011111000111011100101011011010101100100001100111100111010
111 1100011101101110110111100110100110100010011110001011001000011011000000100111010000100110010110111001000100000001110110000010101110011111110111011111100100101011011010010110010010101101111011100001100011111101111011101101111100010111011110001111001010000000101110100110100101100100001110000110000011001110101110100001110111000110000010001100110001100010111000100000110011000100100110110000010110001011011010011011110110010100111110011110001
112 110010000001110011101000101110100110110100111111110001100011010001111010000101010100010100101010001010110101000000111111110011111010101100010001101011100101101100100111000101001101010100100101110010010000110010110110101010110111010011111101110011110001011011111011010011100100110111011101010101000101101000100001111111001010000011011000011111010011110011111110001110100111011100110110000000101100010010001011110111010101110101001111000010100011
113 11001010001100011000100001001101010011001100100001000101101100100101100010000101010001001001011000010010100111010000001110110101010010111000100010000100011000001011000010001001001010011001010111011001010001011010110110011000101101110101110001101000100100110101111001101100101010001000001010100111110110010011110100101000000010011110011100001011101010111000000011011110000000010010011011010111000000010110010001100001011100101111110111000011011101100
114 1100110110110100110110001011010100111000011001101110100100001001000001101001101010110100010011001101001010011100110010101011110101100111000010010001101011000100101101011111010110110111101001000001111001101101011001011111100001110010101111011011001001001011010100100000100101111011100101111101110111011001111110100010110110010011110000001001000110010100011011111011100010001100110010101001011101110101111010110000110011001000110100001100001010110101101111
115 110100101011011010100110110001000111100100010111010110010111001000110011111110111100100011001010001010010010100101010000010010100000001011100110110110100110011011101000110100111001000001001100001110011111010111010111000111001000100110011100110110110110101000001101101010001111100100101010101001101111110000011010000011101100100001110011011101011011100001011011111100010100111001010110011111110111011001010000011011101110100101000011011001110011110010101100001
116 11011001010011101110001000011100010101010010101011010011101100101000101000100110111010110011000100000000110011001010111111100101010010010001011010010011100101000011000111000001010001110111111001101110001111010000001111101000111101101111010011011111100000001110100100010100101011010101000111111100101110001100010101101101110010001110111001110110100100011111110110100011010001111001011110010100010100110010010110011001000011011011111011011001000101101100100101101100
117 1110000110011110010101110101110001100001101001101100010111101101101000110101100000100011100011111011101010111000101011101000010100110001010010001011000010110110100101001100110100000011110000111111110011100010111010111001101001111011010101100101011100101010110100101011001101101010000011111111100001101000010001110111010011101101110111100000000010110001100110111111110010101111110110110000101000010110000110110011011010010100010111100111001010001101001110011100000101111
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