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EXAMPLE
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The top left corner of the array:
n= 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
-----|--------------------------------------------------------------
k= 0 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1 | 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
2 | 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0,
3 | 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1, 0, 3, 0, 1,
4 | 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0,
5 | 0, 1, 2, 1, 0, 5, 2, 1, 0, 1, 2, 5, 0, 5, 2, 1, 0, 1,
6 | 0, 0, 2, 0, 0, 2, 6, 0, 0, 0, 2, 2, 0, 6, 6, 0, 0, 0,
7 | 0, 1, 0, 3, 0, 1, 0, 7, 0, 1, 0, 3, 0, 1, 0, 7, 0, 1,
8 | 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8,
9 | 0, 1, 0, 1, 4, 1, 0, 1, 0, 9, 4, 1, 4, 1, 0, 1, 0, 1,
10 | 0, 0, 2, 0, 4, 2, 2, 0, 0, 4, 10, 2, 4, 2, 2, 0, 0, 0,
11 | 0, 1, 2, 3, 0, 5, 2, 3, 0, 1, 2, 11, 0, 5, 2, 3, 0, 1,
12 | 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 12, 0, 0, 0, 0, 0,
13 | 0, 1, 2, 1, 0, 5, 6, 1, 0, 1, 2, 5, 0, 13, 6, 1, 0, 1,
14 | 0, 0, 2, 0, 0, 2, 6, 0, 0, 0, 2, 2, 0, 6, 14, 0, 0, 0,
15 | 0, 1, 0, 3, 0, 1, 0, 7, 0, 1, 0, 3, 0, 1, 0, 15, 0, 1,
16 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0,
17 | 0, 1, 0, 1, 0, 1, 0, 1, 8, 1, 0, 1, 0, 1, 0, 1, 0, 17,
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