Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 -0 -3 -6 -7 -5 -3 -0 3 5 7 9 10 12 14 15 16 20 24 27 28 28 24 18 13 9 5 3 1 1 2 4 5 6 7 8 9 9 9 9 10 9 9 9 9 10 11 12 12 12 12 12 11 10 9 8 9 10 11 12 13 11 11 11 10 10 9 7 6 6 7 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 8 7 7 8 11 13 14 14 14 13 11 10 9 8 9 9 9 10 10 10 9 9 9 10 11 11 11 11 10 9 8 7 6 5 5 5 5 5 6 7 8 9 9 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 12 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 nan
nan -5 -8 -9 -8 -5 -2 1 3 5 7 8 10 12 14 17 20 22 24 25 25 23 17 9 3 -2 -3 -3 -2 -0 2 3 4 4 5 6 7 8 9 10 10 10 10 9 8 8 8 9 10 10 11 11 12 12 11 10 10 10 10 11 12 12 11 11 11 10 10 10 8 7 6 7 8 9 10 9 9 9 9 9 11 12 12 13 13 12 11 10 8 7 8 9 12 15 16 15 14 12 10 9 9 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 9 8 6 6 5 5 5 6 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 8 7 8 8 9 9 9 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 nan
nan -7 -7 -4 -1 2 4 5 6 7 9 10 12 14 16 20 22 23 21 18 14 9 3 -3 -6 -7 -5 -3 1 4 5 5 5 5 5 6 7 9 10 11 11 11 10 10 9 9 8 8 8 9 10 10 11 12 11 11 10 11 11 12 13 12 12 11 11 11 10 10 9 8 7 7 7 8 9 9 8 8 8 8 9 11 12 13 13 12 11 10 9 8 9 11 13 16 16 15 13 12 10 9 9 8 8 8 8 8 9 10 10 10 9 8 7 7 7 8 8 8 8 8 7 6 6 5 6 6 7 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 8 7 6 5 7 8 9 10 10 10 9 9 10 10 9 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 nan
nan -5 -2 2 5 6 7 7 8 9 12 14 16 19 20 22 23 19 13 7 3 -1 -3 -5 -4 -3 -1 2 5 7 8 8 7 6 6 7 8 9 10 11 11 11 10 9 8 8 8 8 8 9 10 11 11 11 10 9 9 10 11 11 12 12 12 12 12 11 11 10 9 8 8 7 7 7 8 8 7 6 6 7 8 10 11 12 12 11 11 10 10 10 11 12 15 15 14 12 11 10 9 9 9 9 8 8 8 8 9 10 12 13 13 13 12 10 10 9 9 8 8 7 7 6 6 6 6 7 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 7 6 5 3 4 6 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 nan
nan -1 2 4 7 8 9 10 11 12 16 19 23 25 25 24 20 13 5 -0 -2 -2 -1 1 2 3 4 5 7 8 9 9 9 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 9 10 11 11 11 10 9 8 9 10 10 10 11 11 12 12 12 12 11 9 8 7 7 7 8 8 8 6 6 5 6 7 9 10 11 11 11 11 11 11 11 12 13 16 15 13 11 9 8 7 8 9 9 9 9 8 9 9 11 12 15 16 18 17 16 15 13 12 10 9 8 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 6 5 4 4 5 6 8 8 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 13 13 13 13 12 12 12 12 12 12 nan
nan 2 4 6 7 9 11 12 14 16 19 23 26 27 26 22 15 6 0 -2 -2 1 4 7 7 7 7 7 7 8 8 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 8 8 8 9 10 10 10 10 10 11 12 12 11 9 8 8 8 8 9 9 9 7 6 5 6 8 10 11 11 11 11 10 10 10 10 11 14 17 17 15 12 9 7 6 6 7 8 9 9 9 9 10 11 13 15 18 20 21 20 18 17 15 12 10 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 13 14 13 13 13 12 12 12 12 12 13 13 nan
nan 5 6 7 9 11 13 13 15 16 19 22 23 21 19 14 7 1 -1 -1 0 4 7 9 9 9 9 9 8 8 8 8 9 10 11 12 11 10 8 7 7 7 9 9 10 10 10 10 9 10 10 11 12 12 11 9 7 6 7 8 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 11 9 7 6 8 11 12 12 12 12 11 9 8 8 8 10 13 17 18 17 15 11 8 6 5 6 7 9 10 10 9 10 12 14 16 18 21 22 22 20 18 16 13 10 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 11 12 13 13 13 13 13 12 12 11 12 12 13 13 12 nan
nan 5 7 9 11 12 14 14 14 14 14 16 16 13 10 6 1 0 1 3 4 6 7 9 10 10 10 10 9 8 8 8 9 10 11 12 12 10 7 5 5 7 9 11 12 13 13 12 11 11 11 12 13 14 13 12 9 8 7 7 9 11 12 12 11 10 9 9 10 12 14 15 16 15 14 13 11 10 9 11 12 13 13 12 11 10 9 7 7 7 9 13 16 18 17 16 13 10 7 6 7 8 9 10 10 11 11 12 14 16 19 21 22 22 21 18 16 12 10 8 7 7 7 7 7 8 8 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 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 9 11 12 13 13 13 12 12 12 12 12 12 13 13 13 12 nan
nan 7 8 11 14 15 15 14 13 12 11 10 10 8 6 4 3 4 6 7 7 8 8 8 9 9 9 9 9 8 7 7 9 11 12 14 14 12 9 6 5 7 11 14 16 17 16 15 13 12 12 12 14 15 15 15 13 11 10 9 10 11 12 13 12 11 9 9 11 12 15 17 17 16 15 14 13 11 11 12 12 12 12 12 11 10 8 7 6 6 8 12 15 17 16 15 13 10 8 8 8 8 9 10 11 12 12 13 14 16 19 22 22 22 20 18 14 11 9 7 7 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 11 12 12 12 12 11 12 12 12 12 12 13 13 13 13 nan
nan 10 12 14 16 17 16 14 12 11 10 9 8 7 6 6 6 7 9 10 10 10 10 9 8 7 7 8 8 8 7 7 8 10 12 14 15 13 11 7 5 7 11 16 18 19 19 16 14 12 12 12 13 14 15 15 15 14 13 11 11 12 12 13 13 12 10 10 11 12 14 16 16 15 14 13 12 11 11 11 12 12 11 11 11 10 9 8 7 7 8 12 15 16 16 15 12 10 8 8 8 8 8 10 11 13 14 14 15 17 19 21 21 21 19 16 13 10 8 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 13 13 13 12 11 11 10 10 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 nan
nan 17 17 18 18 16 14 13 12 10 10 9 8 8 8 7 8 9 9 10 11 11 11 11 9 8 8 9 10 10 9 7 6 7 8 11 13 13 11 8 6 7 11 15 18 19 18 16 13 12 11 11 12 13 14 15 15 15 13 12 11 11 12 13 13 13 11 11 11 12 12 14 14 13 12 11 10 10 10 10 11 11 11 11 10 9 9 9 8 9 10 13 15 15 16 13 11 9 7 6 6 6 7 9 12 14 16 17 17 18 19 20 20 19 17 14 11 9 8 7 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 11 11 12 12 12 12 12 13 13 12 12 11 10 10 10 10 10 9 9 10 10 10 11 11 12 12 12 12 12 13 14 14 14 nan
nan 22 21 19 16 14 11 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 10 9 8 10 12 12 10 8 6 4 4 5 7 9 10 9 7 7 11 14 17 18 17 15 13 12 12 12 13 15 17 18 17 16 15 13 12 11 12 13 13 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 9 8 7 8 8 9 10 12 14 15 14 13 11 9 6 5 5 5 6 7 9 12 15 17 19 20 21 21 20 18 17 15 13 10 9 8 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 11 12 12 12 13 12 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 12 12 12 12 14 14 14 14 nan
nan 17 16 14 12 10 9 8 9 9 9 9 9 8 8 8 9 10 10 10 9 8 9 9 9 7 6 7 8 9 9 8 6 4 3 3 5 7 8 9 9 8 11 13 16 17 17 16 14 13 14 14 16 18 19 20 20 19 17 15 14 13 13 13 14 14 13 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 7 6 5 6 8 9 12 14 15 15 13 11 9 6 5 4 5 6 7 8 10 13 15 18 20 21 22 21 19 17 15 13 11 10 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 9 10 10 10 11 11 11 12 12 13 13 13 12 12 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 12 13 14 14 14 14 nan
nan 8 9 10 9 9 8 8 8 9 9 9 9 8 8 8 9 10 11 11 11 10 9 8 6 4 2 1 3 5 6 6 7 7 7 7 8 9 10 11 10 10 11 12 14 16 17 16 15 15 14 15 16 17 17 18 19 18 18 16 14 13 12 12 13 13 14 13 12 11 10 10 11 11 12 12 11 11 11 11 10 9 8 6 5 4 6 9 11 14 15 14 13 11 8 6 5 5 5 6 7 9 10 11 13 15 17 19 21 21 20 18 16 14 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 nan
nan 5 6 8 9 9 9 8 8 9 9 9 9 9 8 8 9 10 11 12 12 12 11 9 7 4 2 0 0 2 3 4 6 8 10 11 11 12 12 13 13 12 12 13 14 15 15 14 14 13 13 12 12 11 12 13 15 16 16 15 13 11 10 9 10 12 13 13 12 12 11 11 12 12 12 12 11 11 12 11 10 9 7 6 6 6 8 11 13 15 15 12 10 9 7 6 5 6 7 8 8 9 10 10 12 14 16 19 20 19 18 17 15 13 11 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 9 9 9 10 10 11 11 12 12 13 14 14 13 13 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 12 12 12 13 13 13 nan
nan 5 7 8 9 9 9 8 8 9 9 9 8 8 8 9 10 9 9 9 9 10 11 10 9 7 5 4 4 3 2 2 3 5 8 10 11 12 13 14 15 14 14 14 14 14 14 13 12 11 10 9 7 7 8 10 12 14 14 14 12 10 8 7 7 10 11 13 13 13 12 13 13 12 11 11 11 11 12 11 10 9 8 7 8 9 10 12 13 14 13 10 8 7 6 6 7 6 7 8 9 9 10 10 11 12 14 17 18 17 16 14 13 11 10 9 8 8 7 7 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 11 11 12 13 13 14 13 12 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 11 12 12 12 12 13 13 nan
nan 7 8 8 9 9 9 8 8 9 10 10 8 6 6 8 11 12 10 7 5 5 6 8 9 9 7 7 8 7 5 3 2 2 5 7 9 11 13 15 16 16 16 15 15 15 14 13 13 11 10 8 6 6 7 9 11 13 13 13 12 11 9 8 7 9 11 12 13 14 14 13 11 10 9 8 9 11 11 11 10 9 10 10 11 12 12 13 12 11 9 7 6 6 6 7 7 7 8 8 9 10 11 11 11 12 13 15 16 15 14 13 11 10 9 8 8 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 13 13 13 13 12 11 10 11 11 11 11 11 10 10 10 10 9 10 10 10 10 11 11 11 12 12 12 12 nan
nan 8 8 9 10 10 9 8 7 8 10 9 7 3 3 5 10 14 14 13 9 4 4 5 7 8 8 8 10 11 10 7 5 4 7 10 12 13 14 16 17 17 17 17 16 15 15 14 13 12 11 9 8 8 8 9 11 12 12 12 12 11 10 10 9 10 11 12 13 14 14 13 11 9 7 6 7 8 8 9 9 10 11 12 13 13 12 11 10 8 7 7 6 6 6 6 7 7 8 9 10 11 12 13 13 14 15 15 14 13 12 11 10 9 8 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 10 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 nan
nan 8 9 11 12 11 8 5 4 5 7 7 5 2 1 4 8 13 15 16 15 10 6 6 6 7 8 8 10 12 13 12 10 10 12 15 17 18 18 18 18 18 17 17 17 16 14 13 13 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 11 12 14 15 13 12 10 8 8 8 7 7 7 8 9 12 14 14 14 12 10 8 6 7 7 7 7 7 6 7 8 9 10 12 14 15 16 16 17 17 16 15 13 11 11 10 9 8 8 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 12 12 13 13 13 13 12 11 10 9 9 9 9 9 9 10 9 9 9 10 10 11 11 nan
nan 9 11 13 15 12 7 2 -1 1 4 5 4 2 1 4 8 10 12 14 15 13 11 9 8 8 8 8 9 11 12 13 13 14 17 20 21 22 21 20 19 18 17 17 16 15 14 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 11 12 14 14 13 11 10 9 10 10 10 8 8 9 9 11 13 13 13 11 9 6 5 5 6 6 6 6 6 7 9 11 14 15 17 17 18 19 19 19 18 16 14 12 10 9 8 8 8 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 12 13 14 14 14 13 12 11 10 10 10 9 9 9 9 9 8 8 9 9 9 10 11 nan
nan 12 13 15 17 15 8 2 -3 -2 3 5 4 3 3 6 9 9 9 9 10 11 11 11 10 9 8 7 8 9 11 13 14 17 21 23 24 24 23 20 19 17 17 16 16 16 15 14 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 9 8 10 12 13 13 12 12 11 11 12 11 10 9 7 6 5 4 4 5 4 5 6 8 10 13 16 17 18 18 19 21 21 21 19 16 14 12 10 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 6 7 7 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 11 12 13 14 14 14 14 13 13 12 11 10 10 9 9 9 9 8 8 8 8 9 9 10 11 nan
nan 13 14 17 18 17 12 5 -0 -0 4 6 6 6 6 9 12 12 12 10 9 9 10 10 10 9 8 8 8 9 11 13 16 19 22 24 24 24 22 20 18 17 16 16 16 16 15 14 13 12 11 11 11 11 11 12 12 11 10 10 10 10 10 10 11 12 12 12 11 10 8 8 8 8 8 9 11 13 15 15 14 13 11 10 9 8 7 6 6 6 5 5 5 5 5 6 8 10 13 16 17 17 18 19 21 22 22 20 17 14 12 10 9 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 14 13 13 13 13 12 11 11 10 10 9 9 9 8 8 8 8 9 9 10 11 nan
nan 12 13 16 18 16 13 8 4 4 5 7 7 7 8 11 15 16 16 15 12 11 11 11 10 10 9 9 9 11 12 14 17 19 21 21 21 21 20 19 18 17 16 16 16 15 14 14 13 12 12 12 12 13 13 13 12 11 10 9 9 9 10 11 12 14 14 13 11 8 6 6 7 8 9 10 11 12 13 13 13 12 11 9 8 7 6 6 7 8 8 8 7 7 7 8 10 12 14 16 17 18 18 19 21 23 22 20 16 13 11 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 12 11 11 11 10 10 10 9 8 8 8 9 9 10 11 nan
nan 10 12 14 15 14 12 9 7 7 7 7 7 7 9 12 16 17 17 17 15 14 13 12 12 11 11 11 12 13 14 14 15 16 16 16 16 16 16 17 17 17 17 16 15 14 13 12 11 11 11 12 12 13 13 13 13 12 10 9 8 8 9 11 13 14 14 13 11 8 7 8 9 11 11 11 11 10 10 10 10 10 9 8 8 7 6 7 9 11 12 12 11 10 11 12 13 14 16 17 17 18 19 21 22 23 22 19 16 13 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 10 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 10 10 9 8 8 9 9 10 10 11 nan
nan 9 10 12 13 12 10 10 10 10 10 9 8 7 9 11 15 16 16 16 15 14 14 14 14 13 13 13 13 13 13 12 12 11 11 12 13 14 14 15 16 16 16 15 14 13 12 10 10 10 10 10 11 11 12 12 12 12 11 10 8 8 9 10 11 12 12 12 11 10 9 10 11 12 13 12 11 9 8 7 5 5 5 6 7 7 7 8 10 12 13 14 14 13 13 14 15 16 17 17 18 18 19 21 23 23 21 18 16 12 10 8 8 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 10 11 11 nan
nan 9 10 10 9 9 10 11 13 14 14 12 11 9 9 10 12 13 14 14 14 14 14 15 15 14 13 13 12 11 10 9 8 8 9 10 11 13 14 14 15 15 14 14 13 12 11 10 10 9 9 8 9 9 10 11 11 11 10 10 9 9 9 8 9 9 11 12 11 10 10 10 11 12 14 14 12 9 7 5 3 3 3 3 5 6 7 8 10 11 13 14 15 14 14 14 15 16 16 17 18 19 20 22 22 22 19 16 14 11 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 8 8 8 8 8 8 9 9 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 12 13 13 13 13 13 12 11 10 9 9 9 9 10 10 11 11 12 nan
nan 11 9 8 7 8 10 13 16 18 17 15 13 11 9 9 9 10 12 13 14 14 14 14 14 13 12 11 10 9 8 7 7 8 9 10 11 13 14 14 14 14 13 13 13 12 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 10 9 8 7 8 9 11 11 9 9 8 9 11 13 14 12 10 7 5 4 5 5 4 4 5 6 8 9 11 12 13 14 13 13 13 13 14 16 17 18 20 21 22 22 20 17 14 11 9 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 5 5 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 11 13 13 14 14 13 12 11 10 9 9 9 9 10 10 11 11 11 nan
nan 12 9 7 8 9 12 15 18 20 19 18 15 13 10 9 9 9 10 12 13 12 12 11 11 11 11 10 10 9 9 8 8 8 9 10 12 13 14 14 14 14 13 13 12 12 12 11 10 9 8 8 9 10 10 10 9 8 8 9 10 11 10 7 6 7 9 11 10 8 7 7 8 11 12 12 11 9 8 7 7 8 8 7 6 6 7 8 10 12 14 15 15 14 13 13 13 13 15 16 18 20 21 22 21 18 15 12 9 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 13 14 14 15 14 13 12 11 10 10 9 10 10 10 11 11 11 nan
nan 11 8 7 8 10 13 16 18 19 20 19 17 14 11 9 9 9 10 11 11 10 9 9 8 8 9 9 10 10 10 11 10 10 10 11 12 14 14 14 14 14 13 13 12 11 11 11 10 9 8 9 10 11 11 11 9 8 9 9 11 11 9 6 5 6 9 11 10 8 7 8 8 10 10 8 8 6 7 8 9 10 9 9 8 8 10 11 13 15 17 19 19 18 16 15 14 13 14 15 16 18 20 21 20 17 14 11 8 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 6 6 6 7 7 8 8 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 14 15 15 14 13 12 11 11 10 10 10 10 10 10 10 11 nan
nan 8 7 7 8 9 11 13 15 16 17 17 16 14 11 10 9 8 9 9 9 8 8 7 7 7 7 8 10 11 11 12 12 11 12 12 13 14 14 14 14 14 13 12 11 10 10 10 9 8 7 8 10 11 12 11 10 10 11 11 12 10 7 5 4 6 8 11 12 10 9 9 9 9 9 7 6 5 6 7 9 10 10 10 10 10 13 14 16 17 18 20 21 21 20 18 16 14 14 14 14 15 17 18 18 16 14 11 8 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 6 6 6 7 7 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 12 13 14 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 nan
nan 8 7 7 8 10 11 12 13 14 15 15 14 12 11 9 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 12 12 13 13 14 14 14 14 14 14 13 12 11 10 9 9 8 8 7 7 8 9 11 11 11 11 11 13 13 14 10 5 4 3 5 8 12 13 12 10 9 8 9 9 8 8 7 7 7 8 9 10 10 11 12 13 14 15 16 17 19 20 21 20 19 17 16 14 14 14 14 15 16 16 16 14 13 10 8 7 6 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 12 11 11 11 11 11 11 11 10 10 10 nan
nan 8 8 9 10 12 12 13 13 14 14 14 13 12 11 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 13 13 14 14 14 14 14 13 12 11 10 8 8 8 8 8 7 7 8 8 9 10 10 10 11 13 14 13 10 6 4 4 6 10 12 12 11 10 8 8 9 11 11 11 10 9 7 7 8 9 11 13 14 14 15 15 15 16 16 18 19 19 19 18 17 16 15 15 15 15 14 14 14 14 13 12 10 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 14 14 14 13 12 12 12 11 11 11 11 11 12 11 11 11 nan
nan 7 9 10 12 13 13 13 13 14 15 15 14 13 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 14 13 12 11 10 9 7 7 7 8 8 8 8 8 9 9 9 10 11 12 13 13 11 9 7 6 6 7 10 11 10 9 7 6 7 9 11 12 13 12 10 8 7 7 9 11 13 15 16 16 17 16 15 15 15 16 16 17 17 16 16 16 16 16 16 16 14 13 13 12 11 10 8 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 12 12 12 12 12 12 13 13 13 13 12 12 nan
nan 6 8 11 13 13 12 12 12 13 14 15 15 14 12 12 11 11 11 12 12 12 13 13 13 13 14 14 13 13 13 13 13 13 14 14 14 14 13 12 11 10 9 8 7 7 8 8 8 7 8 9 9 11 12 12 12 12 12 11 9 8 9 9 9 8 9 9 8 8 6 5 6 6 8 10 11 12 11 9 8 7 8 9 11 13 14 16 17 16 16 15 14 14 14 15 15 15 15 15 16 17 18 17 16 14 12 10 9 9 8 8 7 8 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 12 13 13 13 12 11 11 11 12 14 15 15 15 15 14 13 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1 1 1 1 0 0 0 0 0 1 1 2 2 2 2 2 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 2 8 19 25 25 21 20 22 25 29 36 48 63 94 124 145 171 219 273 317 336 323 290 286 304 336 377 429 486 540 588 632 677 705 703 699 717 778 881 964 1007 983 908 887 850 794 736 693 662 614 581 565 557 540 496 451 435 463 537 657 771 858 913 943 960 987 1010 1018 1005 982 983 1009 1052 1099 1138 1158 1146 1134 1125 1117 1106 1101 1089 1061 1022 979 934 882 838 784 724 672 625 566 545 572 632 658
1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 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 6 19 25 25 23 23 29 33 38 43 50 56 72 101 135 171 212 262 301 310 288 250 252 274 306 341 378 422 473 536 600 654 693 697 696 713 763 846 867 893 893 866 839 795 735 675 624 579 518 501 512 530 533 505 456 439 474 556 665 746 794 811 812 817 854 907 929 924 901 893 897 923 977 1030 1062 1061 1054 1057 1057 1049 1034 1016 992 954 909 878 839 816 774 715 653 605 554 569 617 665 680
2 1 1 0 0 0 0 0 0 0 0 0 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 4 12 17 20 23 27 34 41 45 49 51 54 66 93 128 163 195 228 256 251 221 191 194 223 256 287 317 350 403 468 540 611 674 714 739 761 787 817 820 817 830 832 814 768 694 621 567 528 488 476 506 548 575 565 517 489 522 589 655 689 689 680 672 682 725 795 825 848 869 884 892 904 922 943 964 988 991 995 987 970 950 944 934 914 895 884 856 826 782 725 663 609 559 587 633 667 673
2 2 1 0 0 0 0 0 0 0 0 0 0 0 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 2 6 11 17 21 25 33 43 51 57 60 62 69 85 115 148 178 199 208 185 158 141 145 167 192 214 238 272 331 403 485 571 657 740 813 859 866 873 890 794 769 768 763 733 671 596 537 500 482 489 533 585 625 635 607 572 594 638 674 679 655 627 611 616 642 678 706 744 782 817 850 882 905 916 932 965 977 968 946 924 911 918 889 867 861 862 847 806 751 695 646 611 586 583 595 605 599
2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 12 18 25 32 40 51 60 66 72 78 86 105 129 153 170 173 136 115 107 111 122 134 145 164 200 260 338 435 532 637 749 857 911 884 896 931 804 736 713 700 672 621 560 509 482 479 495 523 571 613 626 609 589 584 611 642 659 650 616 583 571 582 605 620 655 698 744 790 835 854 874 896 917 927 920 911 910 919 930 880 844 819 806 801 781 733 680 638 610 592 562 541 519 492
2 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 2 7 11 15 21 31 43 57 68 79 88 94 100 109 123 139 143 110 99 94 93 96 100 103 115 149 213 300 405 512 628 749 862 928 913 927 898 786 719 686 655 616 568 522 499 491 490 493 500 525 563 587 589 573 528 525 533 537 534 529 531 540 565 600 622 641 663 692 726 763 791 816 842 862 871 873 879 887 892 879 806 761 729 719 729 737 701 667 636 605 573 543 517 486 450
2 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 2 5 9 12 19 30 46 63 76 88 101 110 115 120 129 126 101 88 80 75 73 74 79 94 121 181 274 383 501 624 743 847 919 932 934 834 714 701 728 675 598 534 501 498 499 496 494 494 500 528 546 553 536 483 458 446 441 444 461 501 536 574 609 631 639 641 649 669 704 747 783 816 837 845 845 842 830 809 775 720 688 682 692 705 704 667 646 618 582 544 516 498 480 456
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 1 2 3 7 16 29 45 58 71 83 92 102 112 117 109 92 79 67 60 58 59 66 80 108 172 267 381 508 636 746 819 859 884 898 820 773 794 808 688 591 540 523 517 508 485 469 477 509 527 533 524 505 478 452 447 460 478 499 533 566 574 580 588 593 598 612 626 644 675 724 774 813 833 833 814 786 755 726 701 678 672 668 653 630 610 603 585 555 518 483 464 461 460
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 0 0 1 4 12 23 35 47 58 69 79 88 91 83 75 67 59 55 56 59 65 79 111 181 273 384 513 647 750 799 822 852 883 826 781 754 721 630 575 556 547 529 500 469 452 452 465 484 487 471 466 468 467 470 494 532 573 608 617 589 564 550 547 557 584 600 613 631 655 705 746 767 768 760 757 752 744 729 699 656 610 575 560 570 576 575 552 513 470 439 450 463
2 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 0 0 0 0 1 6 16 27 39 50 59 64 68 63 59 58 60 64 67 66 69 84 121 199 290 397 515 629 699 762 806 836 855 803 731 663 608 566 541 537 522 492 448 408 392 395 407 413 395 380 392 417 441 464 505 558 605 632 629 603 576 556 547 549 567 570 579 595 617 639 658 672 680 688 711 722 727 712 673 610 558 543 554 575 588 585 557 515 469 438 452 473
1 1 0 0 0 0 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 0 0 2 7 16 26 33 38 42 44 48 49 53 62 71 76 74 76 93 133 207 286 366 452 542 628 725 785 808 797 751 676 603 547 509 478 489 475 444 406 369 344 329 334 334 314 322 363 406 441 465 493 532 570 593 599 591 585 586 584 578 580 570 572 574 571 564 562 570 591 619 652 658 656 637 601 555 536 550 578 597 587 581 560 517 473 448 458 476
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 0 0 0 0 0 0 0 2 7 14 22 26 29 32 38 47 56 66 77 87 94 97 109 139 193 250 299 356 440 559 671 736 775 773 730 654 574 511 477 466 464 441 411 376 339 303 268 261 257 252 285 349 406 443 459 463 489 520 537 541 541 557 582 594 591 582 574 579 582 578 565 553 556 579 606 620 618 602 576 546 526 540 565 593 616 628 618 575 527 492 476 478 481
1 1 1 0 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 0 0 0 0 1 4 9 14 17 22 27 33 42 53 66 82 99 112 118 127 143 169 202 237 289 374 492 628 699 763 788 759 676 560 472 448 456 450 429 400 365 324 280 241 200 162 158 219 319 402 448 460 455 478 503 510 509 513 534 568 580 578 574 575 580 587 592 594 592 596 617 633 634 624 603 574 548 537 550 562 573 572 557 531 503 485 470 461 460 458
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 0 0 0 0 0 0 0 2 6 11 16 17 21 26 34 45 63 82 103 126 146 165 172 176 182 197 235 317 439 567 644 720 766 753 673 535 448 435 443 445 437 415 381 339 301 282 264 243 220 218 277 380 437 450 450 475 501 519 532 543 561 589 586 578 573 575 584 600 619 638 648 641 638 641 645 641 624 595 566 545 533 526 514 491 463 440 430 414 408 403 400 399
1 2 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 0 0 0 0 1 2 5 8 13 13 15 21 30 42 58 78 98 132 184 217 219 207 193 188 208 277 396 524 620 686 722 708 631 513 454 447 439 427 416 404 385 356 327 311 313 325 316 304 316 379 423 441 451 471 498 526 550 568 584 602 585 573 570 576 586 603 625 651 666 650 642 641 636 620 594 564 526 496 473 453 436 416 394 371 351 327 323 329 336 337
1 1 1 0 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 0 0 0 1 2 2 2 3 3 9 20 31 41 54 69 82 106 141 180 201 198 188 182 199 262 371 501 618 688 708 680 599 510 474 463 435 404 379 367 363 357 351 346 348 377 395 400 398 400 410 436 460 481 501 524 545 561 573 580 562 561 565 571 579 592 611 622 620 599 588 581 569 550 522 489 446 415 393 373 353 331 306 274 238 208 217 242 266 275
3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 26 36 45 52 62 77 94 113 131 145 157 172 202 257 345 468 587 672 703 661 577 504 469 461 432 396 365 348 346 350 359 362 364 381 397 407 415 417 414 447 480 504 521 532 543 553 563 570 564 570 573 573 573 579 596 592 571 544 523 507 492 474 447 410 369 347 329 310 285 250 206 165 136 129 146 182 212 215
4 3 2 1 1 2 2 2 2 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 0 0 0 0 0 0 1 4 12 20 24 26 34 50 64 73 80 91 116 149 194 257 335 451 570 656 678 615 520 468 448 443 426 396 368 353 354 363 378 380 380 387 401 421 451 480 496 514 535 548 552 551 556 567 579 588 590 593 582 562 543 537 550 570 556 517 471 434 412 396 376 343 305 290 272 248 217 179 131 106 99 102 116 137 146 129
6 5 3 2 2 2 2 2 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 0 0 0 0 0 0 0 0 2 5 6 6 11 26 39 47 52 59 82 117 168 236 320 426 530 597 606 549 470 445 442 442 432 408 388 381 388 402 407 405 405 414 437 475 514 547 568 572 589 588 574 559 560 577 591 596 592 582 555 512 469 435 418 466 481 467 434 396 368 341 315 286 247 223 200 173 142 112 87 86 92 98 101 98 85 58
7 6 4 3 3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 20 27 37 54 86 132 197 277 366 462 533 549 508 454 441 444 447 441 423 410 411 420 426 423 421 424 436 461 501 538 564 579 590 602 602 584 558 542 563 583 581 557 517 468 423 384 352 330 348 359 355 337 309 283 262 235 203 168 144 123 101 77 57 54 64 70 69 61 47 33 17
7 6 5 4 3 3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 17 35 64 111 173 244 315 382 439 474 480 459 440 439 439 435 426 417 410 407 407 408 416 427 443 467 502 541 577 593 594 594 581 550 527 530 574 592 559 488 400 321 308 306 300 290 284 279 267 247 222 197 180 159 139 119 96 71 50 35 27 26 31 31 26 20 16 8 3
8 7 6 4 3 4 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 20 35 61 111 176 244 310 367 412 456 455 425 409 407 414 420 422 418 400 380 371 379 398 420 440 467 505 553 595 603 590 569 539 497 522 581 636 621 521 391 268 189 210 242 254 256 255 250 237 222 200 173 152 134 120 104 80 49 33 25 20 12 10 10 10 9 6 5 2
9 7 6 5 5 5 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 24 41 62 94 140 194 256 325 394 453 463 430 399 384 382 399 421 436 436 421 380 361 365 387 415 443 474 513 559 590 579 548 513 483 487 598 674 678 593 423 257 144 97 124 163 187 203 216 223 225 230 219 192 168 141 117 95 74 52 38 27 18 9 4 3 4 5 4 5 2
10 8 7 6 7 6 5 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 3 14 37 71 114 147 173 196 224 268 325 389 453 495 453 406 374 364 388 436 465 475 468 416 386 376 388 414 452 482 515 545 555 514 465 442 470 572 662 711 660 506 291 127 54 42 63 94 124 145 157 164 178 200 207 191 159 130 111 96 83 68 43 24 12 5 2 2 3 4 4 2 1
11 9 7 7 8 6 5 4 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 47 92 152 226 278 298 297 289 295 329 382 444 507 492 453 418 401 411 452 486 511 515 475 433 408 406 430 475 485 504 511 491 449 427 454 545 689 732 683 560 389 208 96 55 48 59 77 93 103 112 125 145 161 168 158 135 120 117 108 94 73 41 21 9 3 1 1 2 3 3 1 0
12 10 7 7 7 6 5 4 3 3 2 2 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 0 0 0 0 0 0 0 0 7 24 55 106 170 248 333 397 421 412 385 354 348 381 442 491 491 462 440 431 441 467 498 529 540 521 483 451 438 447 471 454 466 461 439 418 449 538 621 678 685 577 457 344 253 198 150 119 103 98 97 103 116 134 153 154 144 133 123 122 126 114 94 67 34 16 7 2 0 0 2 4 4 1 0
11 10 7 4 3 4 5 4 4 3 3 2 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 0 0 0 1 2 3 17 42 80 126 188 264 349 431 491 517 516 501 480 463 463 509 543 522 483 461 455 453 453 492 529 550 550 526 491 465 450 444 428 437 434 426 434 493 643 679 639 559 477 424 387 364 342 266 188 134 108 101 114 134 160 179 175 162 150 142 139 137 113 88 60 29 11 4 1 2 4 9 8 5 2 0
10 8 6 5 5 5 5 4 4 4 4 3 2 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 0 2 6 13 24 39 70 109 157 212 275 348 423 495 554 599 628 641 642 640 638 641 641 626 595 553 508 467 456 500 533 558 567 556 525 490 469 463 467 464 452 448 466 528 683 633 548 479 436 433 442 446 412 286 177 113 88 91 113 146 185 222 248 266 258 232 201 172 127 84 49 22 6 1 1 3 7 13 10 5 2 0
9 8 6 5 3 4 5 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 5 11 23 44 71 104 141 183 226 270 316 365 411 474 540 601 650 692 720 743 757 740 715 683 643 597 564 532 525 551 566 577 581 572 550 520 507 514 523 511 487 476 486 534 647 557 478 417 374 358 399 407 351 222 120 73 62 77 107 149 199 263 332 382 375 332 280 226 150 84 40 15 3 0 1 4 9 13 11 6 2 0
10 8 6 5 4 3 3 3 3 3 3 3 2 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 4 9 16 24 36 59 91 128 166 205 237 254 267 279 295 349 412 473 528 591 669 736 777 777 729 680 638 606 582 571 571 578 587 587 582 573 560 541 528 529 526 507 481 472 472 494 536 480 426 382 352 334 304 242 166 89 40 27 30 47 76 113 158 222 294 355 367 330 283 226 150 79 35 11 2 0 1 3 8 12 11 8 4 1
9 8 6 3 1 1 3 3 3 3 3 3 2 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 1 1 0 0 2 8 15 21 25 32 41 66 99 133 167 184 177 160 145 143 183 229 278 333 405 525 643 718 730 697 656 622 596 576 565 570 574 568 560 561 567 567 555 529 506 482 460 446 449 440 440 448 437 462 485 477 420 282 150 73 30 12 8 9 16 30 52 79 120 167 211 246 251 235 199 146 78 32 10 2 0 1 3 7 10 12 9 6 2
10 8 6 4 2 1 2 2 2 2 2 3 3 2 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 1 2 1 1 2 7 14 20 26 31 46 70 91 104 102 80 65 60 68 93 113 138 179 251 391 545 634 669 688 700 691 666 640 632 609 574 541 524 535 560 573 562 523 480 445 425 422 439 426 421 430 455 528 587 573 479 314 139 56 24 14 8 5 4 7 14 27 50 78 107 136 166 208 209 166 92 34 10 2 1 1 4 7 10 11 9 6 2
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