Vorticity
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nan 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 6 6 6 5 5 4 4 4 5 4 4 3 4 4 5 6 7 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 6 7 7 7 6 6 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 3 2 2 3 4 4 5 4 4 3 3 4 4 4 4 4 4 4 3 4 5 6 7 6 5 5 4 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 7 6 6 5 5 5 5 4 4 3 3 3 3 4 6 8 10 11 11 9 7 6 7 8 6 3 4 8 12 15 13 7 5 6 7 8 8 6 5 5 6 7 8 9 9 7 6 7 10 12 12 10 7 7 7 9 10 10 11 12 11 8 5 5 6 6 5 4 3 4 6 9 9 6 2 -2 -4 -4 1 4 5 3 2 2 2 2 0 -2 -3 -4 -3 -4 -9 -15 -16 -10 -1 5 10 14 17 16 14 11 9 7 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 11 19 29 28 17 7 5 5 5 5 5 5 5 6 6 6 5 6 6 5 5 6 7 6 5 4 4 3 -1 -6 -7 -3 2 1 -4 -4 2 5 6 7 8 6 5 4 5 5 5 5 6 7 7 7 6 7 7 8 9 10 10 8 6 6 5 4 4 4 5 6 7 8 8 6 3 2 2 3 4 4 4 4 4 4 4 3 3 3 3 4 6 6 6 5 5 4 4 3 3 3 4 4 4 3 3 2 3 4 4 3 3 2 2 2 2 3 3 3 4 4 4 3 3 3 2 3 4 5 5 5 7 8 8 7 5 5 6 8 8 6 3 2 4 6 8 10 11 11 10 7 3 2 3 5 6 7 8 9 11 12 13 12 12 11 10 9 9 9 10 10 11 11 11 10 10 11 11 10 8 7 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 4 4 3 2 1 1 1 2 3 3 4 5 6 7 7 8 9 9 9 nan
nan 3 2 2 2 2 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 4 3 3 3 4 5 6 7 6 6 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 6 7 8 7 5 4 4 4 4 4 5 6 6 5 5 4 3 3 3 3 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 5 6 6 5 5 4 3 3 3 3 4 4 4 4 4 3 3 4 6 7 7 6 5 3 2 2 3 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 10 9 9 8 7 6 6 5 5 5 4 4 3 3 3 4 5 6 9 12 12 11 8 7 7 7 5 3 4 6 6 8 9 7 5 6 6 6 6 5 4 3 4 5 6 8 7 6 5 6 9 11 11 10 9 8 9 9 9 10 11 11 9 5 3 3 4 4 4 3 3 3 6 9 9 7 3 -2 -5 -4 1 4 3 1 -2 -2 -0 2 2 2 1 -1 -4 -8 -13 -13 -7 1 7 11 16 19 20 17 13 10 8 7 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 11 19 29 27 16 8 7 7 6 5 4 5 5 6 6 6 5 6 6 6 6 6 6 5 4 3 4 4 4 2 -2 -2 1 1 -7 -9 -3 3 7 9 9 6 4 3 4 5 5 5 5 6 7 7 7 7 8 9 10 11 12 10 9 7 6 5 4 4 5 6 7 9 10 8 3 2 2 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 5 5 4 3 3 3 3 4 4 4 3 2 2 2 3 4 4 3 3 2 2 2 2 2 2 3 2 2 3 3 4 4 5 4 3 1 2 5 8 9 7 5 3 5 6 6 5 4 4 6 8 9 10 11 12 13 9 4 2 3 5 6 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 2 2 3 4 5 6 6 7 7 7 8 7 nan
nan 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 5 5 6 6 5 5 5 4 4 4 4 5 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 6 7 7 5 4 4 4 4 5 5 6 6 5 5 4 3 3 2 3 3 4 4 3 3 3 5 6 6 5 4 4 3 3 3 3 3 4 4 5 5 6 7 7 6 5 4 3 3 4 4 4 5 5 5 4 4 3 3 5 6 6 6 5 3 1 1 2 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 9 10 11 11 12 12 11 10 9 8 7 6 6 5 5 4 4 3 3 2 1 4 10 13 13 11 9 8 8 7 4 2 3 4 5 5 5 5 5 6 5 3 3 4 4 3 2 3 5 6 7 6 6 7 7 8 9 9 9 10 11 11 11 11 10 8 6 4 3 3 3 3 3 3 3 3 5 7 6 4 2 -1 -2 -1 1 2 0 -1 -3 -2 0 3 4 4 4 0 -7 -13 -14 -8 1 8 13 17 20 21 19 15 11 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 10 19 30 28 14 6 8 9 7 5 5 5 5 6 6 5 5 5 6 7 7 7 6 5 4 3 3 4 7 9 5 -0 0 1 -6 -12 -9 1 8 10 10 7 4 4 6 6 5 5 5 5 7 7 7 7 8 8 9 11 12 12 10 8 7 6 6 5 5 6 8 10 11 8 3 1 2 4 5 5 4 4 4 4 4 4 4 3 3 4 4 5 6 6 5 4 3 2 2 3 3 4 3 3 2 2 2 3 4 4 4 3 3 3 3 2 2 2 2 2 2 3 4 6 7 6 5 2 -0 -0 3 7 7 4 2 3 5 5 4 4 4 4 6 7 8 10 13 14 14 9 5 3 3 5 6 6 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 2 1 1 1 2 2 3 4 5 6 6 6 6 6 6 6 nan
nan 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 5 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 7 7 7 6 5 5 5 6 6 5 4 4 4 5 5 6 6 6 5 4 4 3 3 2 2 3 4 4 3 2 3 4 6 6 5 4 4 4 4 4 4 4 3 4 5 5 6 6 7 7 6 5 4 4 4 4 5 5 6 6 5 5 4 4 4 4 5 5 5 4 3 2 1 2 4 4 4 4 4 4 4 4 5 5 5 6 6 7 8 10 11 12 13 14 14 13 13 12 10 9 7 7 6 5 5 4 4 3 1 -2 1 7 8 8 9 9 10 9 6 3 2 2 3 5 5 4 5 6 6 5 3 2 3 4 3 2 2 3 5 7 8 8 8 7 5 5 6 7 8 9 10 10 8 6 5 4 3 3 3 2 2 2 2 3 3 4 4 2 1 1 2 2 2 2 1 -1 -2 -2 -0 2 3 4 5 4 -3 -11 -14 -7 4 12 17 20 21 20 18 15 11 9 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 17 31 31 14 5 9 10 7 5 5 5 5 7 7 6 5 5 5 6 7 7 6 5 5 4 4 5 7 11 10 3 -2 -2 -5 -10 -8 2 10 11 10 7 5 6 8 8 7 6 5 5 6 7 7 7 8 8 9 10 11 12 10 8 8 8 8 8 7 7 8 11 11 8 2 0 2 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 3 2 2 3 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 6 8 9 7 5 3 1 1 3 5 4 1 2 5 6 5 5 5 4 4 4 4 5 9 14 15 12 7 4 3 4 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 2 1 2 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 3 1 1 1 2 2 4 5 5 5 5 5 6 6 6 6 nan
nan 6 5 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 4 4 5 5 5 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 6 7 8 8 7 7 6 5 5 5 6 5 5 5 5 4 4 4 5 5 6 6 5 5 5 5 5 5 6 7 7 6 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 3 3 2 2 3 4 4 3 2 2 4 6 6 5 4 4 3 4 4 5 5 4 3 3 4 5 6 6 6 7 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 3 2 2 2 3 4 4 4 4 4 4 4 5 5 6 6 7 7 9 10 12 13 13 14 15 15 14 14 12 11 9 8 7 6 6 5 4 4 2 -1 -1 1 1 0 1 5 9 11 8 4 3 3 4 5 6 6 6 6 6 6 5 4 4 3 2 2 2 2 3 4 6 6 6 6 5 4 4 5 4 4 5 5 3 2 1 1 0 1 1 2 2 1 0 1 2 2 1 -0 0 2 3 4 3 2 1 -0 -0 1 1 2 3 5 6 3 -5 -10 -5 7 17 23 25 24 20 17 13 10 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 13 28 33 18 7 9 9 6 5 6 5 5 7 9 7 5 5 5 6 6 6 6 6 6 5 5 5 6 9 11 6 -3 -9 -11 -10 -3 7 11 10 8 5 4 6 8 9 9 8 6 6 6 7 8 8 8 8 9 9 10 10 9 8 8 9 10 10 9 8 9 11 11 6 0 -1 2 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 2 2 3 3 3 3 3 3 2 2 3 3 4 4 4 6 7 8 8 9 9 8 6 6 7 8 9 9 7 4 3 4 5 6 5 3 3 6 8 8 6 6 5 5 5 4 3 4 9 14 14 9 5 3 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 4 5 7 8 6 4 2 1 2 3 4 4 4 3 3 3 4 4 4 3 3 4 5 5 5 4 3 2 1 1 1 3 4 5 5 5 5 5 5 5 6 6 nan
nan 7 6 6 6 5 4 4 3 3 3 3 3 3 4 5 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 4 5 5 5 4 3 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 7 8 8 8 7 5 5 5 6 6 5 6 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 7 6 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 2 2 3 3 4 3 2 2 4 6 6 6 5 4 3 3 4 5 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 4 4 5 6 6 6 6 6 6 5 3 2 3 3 4 4 4 4 4 4 4 5 5 5 6 7 8 9 11 12 13 13 14 14 15 15 15 14 13 11 9 8 7 6 5 5 4 3 2 -1 -2 -2 -5 -6 -1 8 12 9 5 4 5 6 6 6 7 6 6 5 5 5 6 5 4 4 4 4 3 2 2 3 2 2 4 5 5 4 4 3 2 1 2 2 1 -0 -2 -2 -2 -1 1 2 1 -1 -1 1 2 -0 -1 1 2 3 2 2 2 1 1 1 2 2 3 4 6 6 1 -5 -2 9 21 28 30 28 23 17 12 9 8 7 7 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 10 23 32 24 12 8 7 5 5 6 5 5 7 9 8 6 5 6 6 6 5 5 6 6 6 6 6 6 8 10 9 -1 -12 -19 -15 -2 7 8 6 5 3 3 4 6 8 9 9 9 8 9 8 8 8 8 9 9 9 9 8 7 6 7 9 11 12 11 10 10 11 9 3 -1 -1 2 5 6 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 6 5 4 2 3 4 4 3 3 3 3 2 2 2 3 3 4 7 10 13 14 14 13 13 11 10 9 9 8 8 8 7 5 5 6 8 8 7 5 6 8 9 8 7 5 5 6 7 7 6 7 11 13 11 7 4 2 3 4 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 6 10 13 13 11 7 3 1 1 2 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 3 2 0 0 1 2 3 4 5 5 4 4 5 5 6 6 nan
nan 7 7 6 6 5 5 4 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 4 4 3 3 3 3 3 3 5 5 4 4 3 2 2 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 8 8 8 7 6 5 5 6 6 6 5 5 5 5 5 6 7 7 6 6 5 6 6 6 7 7 7 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 2 2 3 3 3 3 3 5 6 6 6 5 4 4 3 3 3 4 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 7 7 7 6 6 6 5 4 4 5 6 6 6 6 7 7 6 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 7 8 9 11 12 12 12 13 13 14 15 16 15 14 13 11 9 8 7 6 5 5 4 4 1 -2 -3 -4 -6 -1 8 12 9 6 6 7 6 5 6 6 7 6 5 5 6 8 9 10 9 8 8 7 7 6 4 3 1 2 4 5 4 3 2 2 2 4 5 4 2 -0 -2 -2 -1 1 4 3 1 -0 1 2 0 0 1 2 2 1 1 1 0 1 1 2 3 5 6 7 3 -4 -5 5 19 27 28 26 22 17 12 9 7 7 7 7 7 8 7 7 6 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 5 5 6 6 6 6 6 6 6 5 5 5 5 8 18 30 28 16 8 6 4 4 6 7 6 6 8 8 6 5 6 7 6 5 5 5 6 6 5 7 8 7 8 8 3 -9 -21 -21 -9 2 4 4 3 3 3 4 5 6 7 8 9 11 12 10 8 8 9 9 9 9 8 7 6 5 6 8 11 13 12 11 12 11 7 2 -2 -1 2 6 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 4 3 3 3 4 4 4 3 3 2 2 2 2 3 6 11 15 18 18 15 13 11 11 10 9 8 7 6 7 8 8 8 8 8 8 7 6 6 6 6 7 6 6 6 6 8 9 9 11 13 12 9 5 3 2 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 5 9 13 16 17 14 10 6 3 2 2 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 4 3 2 0 0 1 2 3 4 4 4 4 4 5 5 6 6 nan
nan 8 8 6 5 5 5 4 4 3 3 3 3 4 4 4 5 5 5 4 3 3 3 4 4 4 3 3 3 3 4 4 4 3 2 2 2 3 3 3 4 4 4 5 6 7 6 5 4 3 3 3 3 3 3 3 4 4 3 4 4 6 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 5 5 6 6 6 6 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 6 6 6 5 4 3 3 3 3 2 3 3 4 4 4 5 6 6 6 5 4 5 5 6 6 6 6 7 7 6 6 5 5 4 4 3 4 5 5 5 6 7 8 8 5 3 3 3 4 4 4 3 3 4 4 5 5 6 6 7 8 9 10 11 12 12 12 12 14 15 16 16 16 14 13 11 9 8 6 6 5 5 5 2 -4 -6 -4 -1 4 9 10 6 6 7 7 5 4 5 6 7 7 7 8 9 10 12 13 13 12 11 11 11 9 6 4 2 1 0 1 1 1 1 2 4 7 8 7 5 3 2 2 2 4 6 6 4 2 2 2 2 2 2 2 2 2 1 -1 -1 0 1 2 6 8 9 6 -3 -10 -3 12 22 23 19 16 13 11 9 8 7 6 6 7 7 8 7 7 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 12 26 30 22 13 7 4 2 5 9 9 7 6 7 6 4 5 7 8 7 6 6 5 4 5 8 9 8 7 7 5 -3 -18 -25 -15 -3 3 3 3 4 4 5 5 4 4 5 7 11 13 12 9 8 9 9 9 8 6 5 5 5 6 7 9 11 11 11 11 10 6 1 -1 -1 3 6 8 8 7 6 6 6 6 6 5 5 5 6 7 7 6 6 7 6 5 3 3 3 4 4 4 3 3 2 2 2 3 4 9 13 17 18 16 13 9 7 7 8 9 8 7 6 7 8 9 8 7 6 6 5 5 5 4 4 5 7 8 7 7 7 8 9 11 12 10 7 4 2 2 2 2 1 -0 -0 0 2 3 4 4 3 4 4 4 4 3 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 4 6 10 14 16 16 14 11 7 5 3 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 4 2 1 0 0 1 2 4 4 4 4 4 5 5 6 6 nan
nan 10 9 8 6 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 3 2 3 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 5 7 8 8 6 5 4 3 4 4 3 3 3 3 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 5 5 4 5 5 6 7 7 6 5 5 5 6 6 6 6 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 5 5 5 5 5 3 3 2 2 2 2 2 2 2 3 4 4 4 4 5 5 5 4 4 5 5 6 6 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 6 8 8 5 3 3 3 4 4 4 3 3 4 4 4 5 5 6 7 8 9 10 11 11 11 10 11 12 14 16 17 17 16 14 12 10 9 7 6 6 6 5 3 -2 -6 -4 3 8 8 6 5 6 6 4 2 2 3 5 7 9 10 11 10 9 8 9 10 12 12 11 9 6 4 3 2 -0 -1 -0 1 1 1 2 4 7 8 7 5 4 4 5 5 6 7 7 6 5 4 4 4 4 5 4 4 3 1 -0 -0 1 2 5 8 9 8 1 -11 -10 4 17 19 14 10 8 8 8 7 7 6 6 6 6 7 7 7 7 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 17 26 26 21 14 8 4 6 9 9 8 7 6 5 3 3 6 9 9 8 7 6 4 4 8 11 9 7 6 6 1 -14 -25 -17 -3 4 5 5 5 5 6 6 5 3 3 4 8 12 12 10 8 8 9 8 7 6 4 4 5 6 6 7 9 9 10 10 9 5 2 -0 0 3 6 8 9 9 8 8 8 8 8 8 7 6 7 7 8 7 7 7 7 5 3 2 3 4 4 4 4 3 3 3 3 4 6 11 14 14 13 13 11 8 6 5 6 7 8 7 6 7 7 7 6 4 3 2 2 3 5 6 5 7 10 10 9 7 6 7 9 11 11 8 5 3 2 2 1 -0 -1 -3 -3 -2 0 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 4 6 9 12 14 14 12 10 8 5 4 3 2 2 1 1 2 2 3 3 4 4 4 4 5 5 5 5 4 3 2 1 0 1 2 4 4 4 4 4 5 5 6 6 nan
nan 11 11 10 8 6 5 4 4 4 4 4 4 4 4 5 5 5 6 5 3 2 3 4 4 3 3 3 3 2 2 2 2 1 1 2 2 3 3 3 3 3 3 5 8 10 10 8 6 4 4 4 4 4 3 3 3 3 2 3 4 4 5 5 5 5 5 5 4 3 3 3 4 4 4 5 6 7 7 7 6 5 4 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 3 2 2 1 1 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 7 4 3 3 4 4 4 4 3 3 3 4 4 5 5 6 7 8 9 9 10 10 10 9 9 11 13 15 16 16 16 14 13 11 10 8 7 7 6 6 4 1 -3 -3 4 8 6 4 5 5 4 2 1 1 2 4 6 7 9 9 8 4 2 3 6 9 9 8 6 3 2 2 1 1 2 3 4 4 2 1 3 5 6 6 4 3 3 4 5 6 6 6 6 6 5 5 6 8 9 8 6 4 2 1 1 2 4 6 7 6 3 -8 -16 -8 9 18 15 9 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 9 15 21 24 22 15 11 11 11 10 10 9 7 6 4 2 3 7 9 9 10 9 5 4 10 12 9 6 6 6 1 -13 -22 -14 -2 4 6 5 5 5 6 6 5 4 4 3 5 8 10 8 7 8 8 8 7 5 3 3 4 6 7 7 7 8 9 10 9 5 1 -0 0 3 6 9 10 11 11 10 10 11 11 11 11 10 9 9 9 9 9 8 7 5 3 2 3 5 6 5 5 5 6 6 6 7 9 12 11 10 10 11 10 8 6 5 6 7 7 6 5 5 6 5 3 2 1 0 -0 3 8 8 7 9 12 12 10 8 7 7 9 10 10 8 5 3 2 1 0 -0 1 2 3 3 3 4 4 3 3 4 5 5 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 6 8 10 11 11 10 9 7 5 4 3 3 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 5 4 3 2 1 1 2 4 4 4 4 4 5 5 5 5 nan
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nan 10 10 10 9 8 8 8 9 10 10 10 9 9 8 7 7 9 10 12 14 14 13 13 11 10 7 5 4 4 4 5 6 6 6 6 7 7 8 8 8 9 11 12 13 14 14 14 13 12 12 11 11 11 11 11 12 12 12 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 15 15 14 14 13 12 12 11 11 11 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 13 13 14 14 14 15 15 15 14 14 15 18 20 21 19 17 13 9 9 9 11 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 14 14 15 16 16 15 13 12 11 11 12 14 15 16 18 18 17 15 13 12 12 13 14 15 16 16 16 15 14 14 13 13 12 10 10 9 10 12 12 12 12 12 12 14 16 17 19 18 17 16 15 14 13 12 11 10 9 10 11 12 12 12 11 12 13 13 14 13 12 12 12 12 12 12 13 13 14 14 15 15 15 15 15 15 14 14 14 15 16 17 18 20 22 23 22 20 16 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 6 5 4 4 4 5 8 11 13 14 14 13 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 13 13 13 12 11 11 10 9 9 9 9 8 8 9 9 8 9 9 10 12 15 16 18 18 18 18 17 17 16 16 15 15 14 14 15 18 20 24 29 31 31 31 28 23 18 14 9 3 -1 -1 1 6 10 13 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 10 9 9 8 7 8 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 13 13 14 14 14 13 11 10 8 8 8 9 11 13 13 13 12 10 9 8 10 12 13 15 15 14 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 13 13 12 12 12 12 12 12 nan
nan 11 10 10 10 9 9 10 10 11 11 11 10 9 7 5 5 5 7 9 11 12 13 12 11 8 6 4 3 3 3 3 4 4 5 6 8 9 9 10 10 10 11 12 13 14 14 14 13 13 12 12 12 12 12 13 13 14 14 14 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 12 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 14 14 14 14 15 15 15 14 14 14 15 15 15 14 10 7 6 6 8 11 12 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 15 16 16 14 13 11 10 12 14 15 16 17 17 16 16 15 15 15 14 14 14 15 15 14 14 14 14 13 13 12 11 11 11 12 12 12 11 10 11 12 15 17 19 19 18 16 15 14 14 13 12 11 10 10 12 13 13 14 12 11 11 12 12 13 13 13 13 13 13 12 13 13 13 13 14 15 15 16 18 18 18 18 17 17 17 18 19 19 20 20 19 18 15 13 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 6 5 5 5 5 7 10 11 13 13 13 11 9 8 7 7 7 7 7 8 8 8 8 8 8 7 8 9 10 12 13 13 13 12 11 10 10 9 9 9 9 8 9 9 9 9 8 9 10 12 14 16 18 19 18 18 17 17 16 15 15 14 14 14 14 16 17 22 27 29 31 32 30 26 21 17 9 1 -0 -1 1 5 9 11 12 13 13 13 13 12 12 12 12 13 12 12 12 12 11 10 10 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 13 14 14 14 13 12 10 9 9 9 10 12 12 12 12 11 10 9 9 11 12 13 14 14 13 12 11 11 11 12 12 12 12 12 12 12 12 11 12 12 13 13 14 13 13 13 12 12 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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55 53 46 43 42 42 48 57 68 80 88 87 86 73 55 57 66 70 69 62 56 54 50 39 34 29 23 19 18 21 24 24 23 23 23 23 22 21 20 18 16 13 10 11 15 16 15 13 9 6 6 6 4 4 3 2 2 3 3 5 5 2 3 4 3 4 5 6 6 5 6 8 9 9 9 9 8 7 6 6 7 8 8 7 5 4 4 6 7 8 7 7 6 4 2 1 2 4 3 5 6 7 7 7 8 8 7 7 8 7 7 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 3 3 3 3 3 12 59 141 153 96 73 44 14 2 0 0 1 225 790 1341 1419 1237 1315 1378 1340 1236 1099 981 928 996 1183 1368 1355 1062 678 501 540 638 685 726 837 1017 1248 1471 1587 1410 987 577 283 106 29 5 12 26 19 77 259 226 88 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 22 29 34 42 45 47 52 53 55 60 59 58 57 58 57 54 53 52 50 47 44 42 40 38 38 38 38 37 34 34 34 33 32 30 29 29 28 27 26 24 23 23 23 24 25 26 27 28 31 34 37 35 28 23 22 21 21 22 23 24 28 30 27 23 23 25 25 25 28 31 32 31 32 34 36 34 31 28 27 27 25 26 27 28 29 33 36 37 39 41 42 43 43 43 43 43 42 42 41 39 39 39 39 38 38 37 38 41 45 46 46 46 45 42 39 36 34 33 34 35 37 38 34 32 31 29 28 26 25 22 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 40 110 270 642 1211 1953 2624 2750 2208 1406 863 712 685 657 630 772 1103 1313 1222 1035 962 1050 1243 1328 1393 1448 1485 1374 1334 1476 1766 1947 1918 1766 1606 1566 1619 1605 1670 1510 1313 1164 1086 1080 1309 1833 2427 2929 3320 3592 3676 3400 3061 2583 2477 2519 2372 2197 2211 2322 2197 1944 1761 1558 1367 1340 1375 1381 1441 1503 1501 1511 1524 1585 1707 1817 1889 2058 2448 2919 3203 3336 3534 3290 2825 2531 2362 2298 2283 2156 2094 2054 2083 2493 2859 2876 2811 2889 3093 3242 3213 3071 2924 2769 2722 2909 2839 2836 2924 2978 3251 3322 3056 2809 2542 2317 2265 2463 2447 2457 2545 2475 2348 2249 2222 2224 2206 2331 2283 2170 2014 1900 1783 1833 1891
49 46 44 40 39 43 50 60 77 92 96 89 80 68 53 55 61 65 69 68 60 57 55 47 37 34 28 21 15 18 21 23 23 24 23 21 19 19 20 19 18 14 12 12 12 12 12 12 10 6 5 4 2 2 2 2 2 2 4 6 5 3 3 4 4 3 4 5 5 5 6 8 9 9 9 8 6 6 5 7 9 10 9 7 6 5 4 7 9 9 9 9 8 6 4 3 4 4 4 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 3 3 4 4 3 3 3 4 3 4 4 4 2 2 3 3 3 3 3 3 3 14 54 99 75 100 101 64 19 2 0 0 40 538 1166 1371 1250 1229 1308 1321 1247 1076 886 763 748 887 1135 1319 1254 927 558 386 450 546 524 507 658 815 1092 1212 1149 959 650 313 94 16 1 12 62 83 50 49 200 204 90 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 21 28 33 37 43 42 45 48 50 52 54 56 57 57 56 53 50 48 45 42 39 38 37 37 36 36 36 35 34 33 31 30 28 27 27 26 25 27 24 21 21 20 21 23 24 25 26 27 29 28 25 23 21 21 21 20 20 20 20 19 20 19 16 15 14 14 13 13 16 15 14 16 18 20 24 28 31 33 34 33 29 26 25 26 27 29 30 32 33 36 39 40 40 41 42 44 44 44 43 41 40 39 37 37 38 38 39 43 44 43 42 42 41 39 38 35 33 33 32 31 34 35 34 31 30 28 27 26 25 23 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 46 250 718 1383 2167 2716 2516 1832 1216 888 773 726 700 734 899 1080 1188 1271 1226 1229 1307 1308 1293 1315 1399 1361 1347 1402 1548 1746 1933 1963 1746 1529 1520 1573 1753 1708 1489 1260 1127 1120 1203 1393 1695 2090 2768 3345 3693 3648 3392 3025 2699 2580 2459 2315 2249 2269 2229 2045 1932 1658 1412 1344 1337 1327 1400 1483 1514 1506 1490 1556 1761 1897 1975 2143 2479 2817 2960 2917 2928 2959 2936 2739 2457 2244 2259 2240 2162 2063 2122 2453 2662 2645 2640 2825 3148 3358 3304 3173 3093 2908 2781 2669 2569 2684 2831 3034 3333 3449 3318 3105 2866 2609 2412 2303 2293 2395 2457 2388 2277 2224 2244 2279 2203 2228 2208 2106 1954 1851 1835 1875 1895
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42 44 51 57 64 74 85 91 94 85 67 70 67 62 60 57 52 52 55 65 69 61 57 53 44 37 34 30 24 22 23 27 28 26 22 21 19 15 15 17 18 16 12 11 9 8 8 8 6 4 1 0 0 0 0 1 2 2 3 4 4 3 3 3 4 3 4 6 6 6 6 5 8 9 9 8 7 6 8 10 11 10 9 7 6 6 6 8 9 9 8 8 8 7 5 4 4 3 5 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 4 3 3 4 3 3 3 4 3 4 4 3 2 2 3 3 2 3 3 3 1 26 40 45 61 103 113 62 13 0 0 4 368 1037 1236 1187 1236 1315 1270 1106 879 655 514 497 619 880 1160 1270 1100 743 434 295 295 363 490 677 560 220 82 103 153 157 95 33 5 0 0 11 41 56 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 21 26 32 38 42 43 43 43 42 41 41 42 42 41 39 38 38 38 37 34 32 32 33 32 30 28 28 28 29 30 31 30 27 26 25 24 24 23 23 22 21 20 20 19 19 19 19 19 18 18 17 17 16 16 15 14 13 13 12 12 12 11 11 10 8 8 9 9 9 10 11 11 12 13 13 14 16 17 19 24 25 25 23 23 24 26 28 29 29 28 29 30 31 33 34 36 39 41 42 43 43 41 41 42 41 42 44 42 40 40 40 38 37 35 34 33 33 33 34 34 35 36 33 29 27 25 22 22 19 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 57 401 913 1281 1500 1615 1676 1534 1328 1135 929 841 870 941 919 947 931 1135 1112 1106 995 943 997 1037 1081 1231 1389 1772 2135 2211 1943 1706 1664 1892 1981 1834 1578 1347 1211 1189 1226 1276 1184 1435 2015 2841 3426 3604 3564 3402 3147 2867 2698 2634 2504 2384 2012 1718 1660 1648 1514 1406 1370 1377 1403 1439 1490 1442 1442 1577 1703 1795 1944 2032 2106 2240 2356 2423 2473 2279 2462 2574 2436 2142 2130 2106 2069 2102 2249 2473 2564 2561 2716 3000 3209 3122 3237 3287 3201 3055 2912 2820 2814 2859 3019 3139 3041 2940 2926 2912 2806 2573 2394 2324 2208 2119 2162 2261 2171 2208 2203 2125 2074 2061 2040 1998 1843 1616 1525 1465
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39 39 40 39 37 32 31 36 44 50 55 58 57 62 62 63 52 38 32 33 34 25 17 18 20 20 23 32 40 41 38 37 31 23 17 18 24 27 23 17 11 8 10 9 9 10 8 6 4 5 4 5 4 3 2 2 2 2 2 1 3 4 5 5 4 5 6 10 11 12 11 10 10 10 11 11 11 11 10 10 9 8 9 9 8 7 6 6 6 6 6 7 6 6 6 6 7 6 5 5 5 4 3 3 3 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 41 479 1000 841 283 61 8 1 0 0 5 23 68 147 215 101 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 44 61 35 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 9 11 11 11 11 11 12 12 12 12 13 15 14 14 17 21 23 25 26 25 26 25 25 25 26 27 29 29 29 30 29 29 28 27 27 26 25 24 22 20 18 16 14 13 14 14 16 13 10 7 3 0 0 0 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 6 8 9 10 12 14 15 13 11 10 10 6 4 4 3 3 3 5 7 11 17 25 34 42 47 53 58 62 77 66 58 70 125 234 346 407 446 487 537 642 848 1229 1624 1891 1918 1650 1276 1165 1296 1653 1817 1694 1456 1294 1241 1245 1296 1401 1571 1614 1603 2159 2479 2592 2645 2681 2698 2789 3005 3014 2866 2575 2186 1780 1508 1420 1415 1295 1134 1063 1025 1013 1004 962 847 707 602 502 420 500 608 696 796 879 928 1063 1376 1788 1972 2099 2296 2469 2582 2593 2452 2140 1859 1707 1613 1626 1617 1526 1437 1419 1531 1910 1799 1505 1474 1652 1580 1353 1215 1120 1016 1038 1360
38 38 38 35 30 25 24 31 42 48 49 49 51 54 60 65 51 40 38 39 34 25 18 21 18 19 26 34 42 46 45 43 36 26 19 19 24 27 23 17 12 9 12 9 9 9 8 7 6 6 5 6 4 3 2 1 1 2 2 2 4 4 5 5 5 6 9 11 11 11 10 10 10 11 11 11 11 10 10 8 8 9 9 9 7 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 4 3 3 3 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 2 54 625 1140 1103 701 304 67 5 0 0 0 0 9 17 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 28 41 31 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 8 8 8 8 9 9 10 9 11 11 12 15 17 18 20 22 23 23 23 24 23 23 22 21 22 23 24 25 24 24 24 22 20 19 18 17 15 14 13 12 11 10 10 11 12 11 9 8 5 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 1 2 4 7 10 11 11 13 15 16 16 15 14 13 10 7 5 4 3 3 3 4 7 12 18 26 35 42 49 56 62 69 68 65 65 92 176 295 366 413 455 499 571 707 996 1391 1774 1965 1772 1317 1121 1131 1392 1707 1818 1642 1371 1230 1199 1239 1263 1150 1226 1457 1990 2506 2737 2682 2579 2557 2667 2865 3029 3186 3117 2821 2384 1901 1498 1458 1331 1189 1063 969 909 897 898 806 667 515 371 267 291 403 537 706 912 967 1045 1245 1526 1856 2111 2255 2383 2546 2687 2720 2528 2267 2013 1741 1636 1610 1509 1440 1412 1368 1513 1538 1526 1636 1763 1705 1533 1413 1323 1186 1348 1609
35 35 32 28 24 23 23 24 33 43 46 44 42 43 50 56 45 40 43 48 40 30 26 25 20 21 23 29 35 39 40 36 29 23 18 19 20 21 18 14 11 10 9 7 6 7 7 6 6 5 5 5 4 3 3 2 2 3 3 4 5 4 5 4 7 10 11 11 11 11 11 11 12 11 11 11 10 10 10 9 9 8 8 8 7 6 6 6 6 7 6 7 7 7 7 7 7 6 5 5 4 3 3 3 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 11 156 536 881 1074 1037 702 255 36 0 0 0 0 0 0 0 0 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 18 27 18 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 4 4 5 6 6 7 7 7 7 7 8 9 11 14 16 17 19 20 21 21 21 21 19 18 16 15 16 17 16 17 17 17 18 15 13 11 12 12 11 10 9 9 9 9 9 8 8 9 8 6 5 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 1 2 3 5 10 13 14 13 15 16 17 18 17 17 16 14 10 7 6 4 4 3 3 5 8 13 19 27 37 47 57 63 69 72 71 68 74 116 215 319 363 406 469 536 631 821 1150 1595 1951 1782 1399 1192 1129 1216 1463 1717 1740 1506 1269 1160 1174 1223 1142 1155 1343 1745 2244 2571 2627 2517 2458 2504 2613 2792 3067 3260 3209 2941 2434 1803 1569 1400 1269 1148 1040 956 910 893 825 704 545 401 308 305 388 520 662 898 1001 1055 1163 1351 1631 1913 2116 2255 2469 2675 2756 2698 2542 2284 1932 1658 1553 1518 1541 1457 1392 1426 1452 1527 1665 1701 1684 1738 1671 1619 1600 1759 1929
30 29 21 20 19 21 28 34 38 46 54 53 47 40 41 44 45 45 41 45 43 34 30 28 25 23 20 22 25 29 28 24 20 18 17 17 18 18 18 14 11 9 6 5 6 7 6 4 4 4 5 5 4 4 4 3 4 5 4 5 6 6 7 6 6 8 11 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 8 7 6 7 6 6 6 6 6 6 6 7 7 6 5 5 5 5 4 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 136 269 497 830 1069 867 381 69 0 0 0 0 0 0 0 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 13 21 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 4 4 5 5 6 5 6 7 7 9 12 14 16 17 18 18 17 16 15 15 14 14 14 14 14 14 13 13 12 12 10 8 7 7 6 5 5 6 6 7 7 8 7 6 6 5 4 3 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 2 4 5 7 12 17 18 17 18 18 19 18 18 18 18 16 14 10 8 6 5 4 3 4 5 9 14 21 31 43 55 64 73 78 80 78 75 86 143 269 279 332 416 489 559 652 839 1341 1732 1691 1466 1260 1158 1151 1228 1405 1596 1635 1437 1239 1167 1171 1179 1191 1261 1467 1882 2223 2433 2485 2398 2366 2436 2593 2826 3057 3209 3231 2813 2215 1765 1506 1361 1249 1138 1042 969 917 844 743 609 483 405 396 464 590 711 874 979 1020 1079 1197 1381 1624 1880 2004 2274 2519 2663 2683 2608 2432 2104 1711 1444 1532 1637 1570 1520 1581 1623 1565 1648 1694 1616 1790 1875 1904 1956 2078 2197
23 18 14 18 17 17 24 33 39 47 57 63 58 46 40 42 45 46 43 41 41 45 37 29 29 31 27 20 18 21 18 16 15 17 18 18 19 19 17 12 8 6 5 5 6 5 4 1 2 4 6 9 10 10 9 6 5 6 6 7 8 9 9 7 5 6 8 10 11 11 11 11 12 13 13 12 11 10 9 9 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 4 3 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 6 48 220 234 256 587 812 582 207 30 0 0 0 0 0 0 0 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 14 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 3 3 4 4 6 9 10 12 13 13 14 14 13 12 12 12 13 13 13 13 12 11 10 10 9 7 6 5 3 2 2 1 1 2 3 4 5 6 5 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 1 2 4 7 9 10 14 18 21 20 21 20 20 19 19 19 19 19 17 13 10 9 7 5 3 3 4 6 10 17 25 38 50 62 75 83 89 90 85 81 104 202 260 303 357 428 512 544 612 1010 1411 1624 1525 1303 1166 1122 1111 1172 1368 1644 1641 1458 1261 1153 1152 1187 1218 1293 1503 1898 2376 2584 2494 2372 2345 2326 2363 2641 2937 3126 2974 2544 2053 1683 1476 1349 1225 1108 1012 953 873 776 664 552 471 469 527 647 790 877 909 916 940 1018 1161 1348 1584 1790 2076 2368 2555 2587 2543 2490 2320 1858 1565 1629 1676 1627 1601 1671 1759 1646 1553 1643 1708 1837 1958 2034 2117 2237 2339
17 12 11 14 14 13 17 21 30 41 51 59 61 53 42 46 50 51 49 46 43 41 35 26 31 40 36 22 15 15 12 12 11 14 16 15 14 13 11 9 7 6 6 6 5 5 3 2 4 6 9 17 22 22 18 12 8 7 7 8 11 12 9 6 5 6 6 10 11 11 11 11 11 12 12 12 10 9 9 9 9 9 8 7 6 6 6 6 6 7 6 6 7 7 7 6 5 5 5 4 3 3 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 36 140 267 167 121 455 456 221 48 0 0 0 0 0 0 0 0 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 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 6 7 8 8 8 8 9 10 10 12 10 10 11 13 12 11 9 8 7 7 5 4 3 1 1 0 0 0 0 0 0 1 1 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 3 6 11 14 15 17 18 21 21 22 22 21 22 21 20 19 19 18 17 14 11 9 8 6 4 2 3 7 13 20 31 43 57 71 86 97 101 95 85 93 146 216 277 318 366 489 522 532 713 1100 1461 1498 1301 1153 1093 1074 1073 1217 1521 1697 1660 1429 1166 1128 1161 1187 1263 1432 1973 2502 2727 2695 2560 2450 2321 2245 2348 2613 2863 2981 2797 2319 1916 1647 1444 1259 1165 1076 1001 924 833 727 622 527 523 577 723 876 924 873 819 814 881 1037 1206 1394 1663 1975 2246 2407 2430 2432 2445 2424 2171 2002 1868 1724 1610 1581 1652 1776 1771 1565 1545 1696 1874 1965 2012 2104 2204 2261
16 12 10 12 12 11 18 31 31 34 42 50 53 49 42 41 42 44 45 46 40 34 29 25 28 39 37 21 14 13 9 7 9 12 13 11 8 7 8 8 8 7 5 6 7 7 6 5 6 8 13 22 31 29 22 15 10 9 8 9 14 15 7 5 7 7 8 11 11 11 11 11 11 11 11 11 9 8 8 8 8 8 7 6 6 6 6 6 7 6 6 7 7 7 7 6 5 4 4 4 3 3 3 3 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 2 79 161 151 106 119 355 358 181 93 26 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 3 3 3 5 6 6 6 5 5 5 7 6 8 8 9 11 11 11 10 8 5 4 3 2 1 1 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 3 6 9 12 16 19 21 19 23 24 23 23 25 27 24 21 19 19 20 20 17 13 10 10 8 5 3 4 6 9 14 23 36 52 70 87 102 107 103 95 92 111 163 239 285 305 420 512 517 543 787 1109 1270 1247 1172 1078 1058 1044 1152 1413 1678 1700 1404 1183 1122 1105 1135 1253 1346 1621 2053 2425 2681 2732 2632 2416 2315 2314 2420 2593 2799 2856 2508 2111 1802 1511 1292 1230 1218 1156 1030 909 810 731 665 653 721 870 1001 1015 918 800 778 859 1003 1172 1369 1628 1908 2111 2229 2263 2245 2258 2308 2274 2161 1983 1820 1644 1540 1569 1709 1804 1671 1528 1594 1814 1893 1907 1927 1994 2050
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