Vorticity
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9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 12 13 13 14 14 15 15 15 15 14 14 14 13 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7
9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 14 14 14 14 13 13 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7
10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 14 14 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7
10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 14 14 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7
10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 11 12 12 13 13 13 14 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 8 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 11 12 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7
11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 10 10 11 12 12 12 13 13 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7
11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 11 12 12 13 13 14 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7
12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 13 13 13 14 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7
12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 12 12 13 13 14 14 14 13 13 13 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 13 13 13 14 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7
13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 12 13 13 14 14 14 14 14 13 13 12 11 11 10 9 9 9 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7
13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 11 11 12 13 13 14 14 14 14 14 13 13 12 11 11 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7
14 13 13 13 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 14 14 14 14 13 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7
14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 5 5 5 4 4 4 4 5 5 6 6 7 7 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 14 14 14 14 13 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7
15 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 3 4 4 4 4 5 6 6 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 14 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7
15 15 15 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 9 9 8 8 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 4 4 5 6 6 7 8 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 13 14 14 13 13 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7
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26 26 27 27 28 29 30 30 31 31 31 30 30 29 28 27 26 25 24 23 23 22 21 20 19 19 18 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7
27 27 28 28 29 30 30 31 31 31 31 31 30 29 28 28 27 26 25 24 23 22 21 20 20 19 18 17 17 16 16 16 16 15 16 16 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7
28 29 29 29 30 30 31 31 31 31 31 31 30 29 28 28 27 26 25 24 23 22 21 20 20 19 18 18 17 16 16 16 16 15 15 15 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7
30 30 30 30 31 31 31 31 32 31 31 31 30 29 28 27 26 26 25 24 23 22 21 20 20 19 18 18 17 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7
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16 16 16 16 16 15 15 15 15 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 13 13 13 12 12 11 11 10 10 9 9 8 8 7 6 6 5 4 4 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 4 4 5 5 5 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 7 9 11 14 17 21 26 31 36 42 48 55 61 67 73 79 84 88 92 94 96 98 98 98 98 97 96 94 92 91 89 87 86 84 83 82 81 81 81 80 80 81 81 81 82 82 82 83 83 83 83 83 82 82 81 80 80 79 78 77 76 75 74 73 72 71 70 69 69
16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 13 13 12 12 12 11 11 10 10 9 9 8 8 7 6 6 5 5 4 3 3 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 7 9 12 15 19 23 28 33 39 46 52 59 65 72 77 83 88 92 95 97 99 99 100 99 98 97 95 94 92 90 88 87 85 84 82 82 81 80 80 80 80 80 80 81 81 81 81 81 81 81 81 80 80 79 79 78 77 76 75 74 73 73 72 71 70 69 68 67
15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 10 10 9 9 8 8 7 6 6 5 5 4 4 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 5 6 8 10 13 17 21 26 31 37 43 50 56 63 70 76 82 87 91 95 98 99 100 101 100 99 98 96 95 93 91 89 87 85 84 82 81 80 80 79 79 79 79 79 79 79 79 79 79 79 79 79 78 78 77 77 76 75 74 73 73 72 71 70 69 68 67 67 66
15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 10 10 9 9 8 8 7 6 6 5 5 4 4 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 7 9 12 15 19 23 29 34 41 47 54 61 68 75 81 86 91 95 98 100 101 101 101 100 99 97 95 93 91 89 87 85 84 82 81 80 79 78 78 78 77 77 77 77 77 77 77 77 77 77 76 76 75 74 74 73 72 71 71 70 69 68 67 67 66 65 64
15 15 15 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 10 10 9 9 8 8 7 6 6 5 5 4 4 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 6 8 10 13 17 22 27 32 38 45 52 59 66 73 80 86 91 95 98 100 102 102 102 101 100 98 96 94 92 89 87 85 83 82 80 79 78 77 77 76 76 76 75 75 75 75 75 75 74 74 74 73 73 72 71 71 70 69 68 68 67 66 66 65 64 64 63
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