Vorticity
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nan 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 6 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 7 7 7 5 4 3 3 4 5 5 4 5 6 6 5 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 3 3 3 3 4 4 3 3 3 2 2 3 3 4 4 3 3 3 3 2 2 2 3 4 4 4 5 5 4 4 4 5 5 6 5 4 5 5 5 5 6 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 9 9 9 9 9 8 8 7 7 6 6 5 5 5 4 4 3 4 5 7 7 6 6 7 9 10 9 5 2 3 7 10 13 12 9 6 6 7 8 9 9 8 7 8 9 10 11 11 11 8 6 7 10 12 11 9 7 7 8 11 12 12 13 14 14 11 8 9 11 10 8 4 2 2 5 8 9 8 4 1 1 2 3 2 -1 0 5 10 9 5 1 -2 -5 -5 -5 -5 -9 -14 -14 -7 2 10 15 17 15 10 8 8 8 7 6 5 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 5 5 5 5 6 7 9 12 17 24 25 16 9 6 5 5 5 6 7 7 6 7 6 5 4 4 4 4 5 5 6 6 6 5 3 -4 -11 -13 -6 4 5 -3 -8 -4 1 3 3 3 3 3 3 4 6 7 7 8 7 6 5 5 4 3 2 2 2 2 3 3 4 5 6 8 9 9 8 6 3 2 2 3 4 5 6 7 8 9 10 11 10 10 9 9 8 8 8 7 6 5 5 3 1 1 2 4 5 5 4 4 3 3 3 3 4 4 5 6 6 6 6 6 5 6 6 7 7 7 9 9 8 6 3 3 4 3 1 2 4 5 4 5 6 6 6 5 5 6 7 7 7 8 8 8 8 7 5 3 4 5 6 6 7 8 9 10 11 12 13 13 14 16 18 21 23 25 23 19 15 13 13 14 15 15 15 14 12 11 9 8 7 6 6 5 5 5 5 4 4 5 5 4 4 3 3 2 1 -0 -1 1 2 4 5 6 6 5 5 4 3 3 4 4 5 5 4 4 5 5 5 5 4 3 2 1 -0 -0 1 2 nan
nan 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 6 6 6 6 5 4 4 3 4 5 5 5 4 4 5 4 3 4 5 6 5 4 3 2 3 4 4 5 5 5 5 4 4 3 3 4 4 5 6 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 10 10 10 10 10 9 9 9 8 8 7 7 6 6 5 4 4 3 3 3 4 5 5 4 5 8 9 7 4 2 3 5 7 8 8 7 6 5 5 6 6 6 5 4 4 5 7 8 9 9 7 5 6 8 10 11 10 9 9 11 12 12 13 14 14 12 8 5 5 8 9 7 5 3 2 4 6 7 7 5 2 1 1 2 2 2 4 5 4 3 3 2 -1 -2 -3 -4 -8 -11 -9 -3 6 13 17 18 15 9 5 5 7 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 11 17 23 22 14 9 8 7 6 5 6 6 7 7 7 7 6 5 5 5 4 4 5 5 6 6 6 5 1 -5 -12 -10 3 8 -3 -12 -7 1 4 5 4 3 2 3 3 4 6 7 7 7 7 7 6 5 4 3 2 2 2 2 2 3 3 4 5 7 7 7 5 4 2 3 3 4 6 7 8 9 10 11 11 11 11 10 10 10 9 9 8 8 7 7 5 3 2 3 4 5 5 5 5 4 4 4 4 5 6 7 8 8 8 9 8 8 8 8 8 9 11 12 12 10 6 4 3 1 -2 -3 1 5 6 5 4 4 5 4 3 3 4 6 7 8 9 9 9 9 9 7 5 4 5 6 6 7 7 8 9 10 11 12 12 12 12 13 14 15 15 15 13 11 11 11 11 12 12 11 10 9 8 7 6 5 5 5 5 5 4 4 4 4 5 5 5 4 3 3 2 1 -0 -1 0 2 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 1 2 nan
nan 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 7 7 8 8 7 6 5 5 6 6 6 5 4 4 4 5 6 6 5 4 4 4 4 3 3 5 6 6 5 3 3 4 5 5 5 5 4 3 3 3 4 4 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 6 6 6 5 5 4 4 5 5 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 5 4 4 3 1 2 4 5 5 6 7 7 6 4 2 2 3 4 4 4 4 4 5 5 4 3 2 2 2 2 2 3 5 7 7 5 4 5 5 6 8 10 10 10 12 14 14 14 14 12 9 5 3 3 6 7 7 6 5 3 3 4 4 4 2 1 -0 -0 0 2 5 6 3 -2 -2 2 2 1 1 -1 -7 -12 -9 1 12 19 23 22 19 13 7 5 6 7 7 6 5 4 5 5 5 4 4 5 5 4 4 4 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 7 11 18 25 23 12 6 9 9 7 5 5 6 6 6 7 7 6 5 5 5 5 4 4 5 6 7 7 6 5 1 -7 -10 0 8 -1 -13 -11 -1 5 5 4 3 2 2 3 3 4 5 6 7 7 7 7 7 6 4 3 3 2 2 2 3 3 3 4 6 6 6 5 4 3 3 4 5 6 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 6 4 5 5 6 6 6 6 6 6 6 6 7 8 9 11 12 12 13 13 11 10 10 12 13 15 16 16 14 9 5 3 0 -2 -0 4 8 7 4 3 5 6 5 3 3 3 4 6 7 9 11 12 12 10 7 5 5 5 6 6 7 7 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 6 6 5 4 4 4 4 4 4 4 3 3 4 4 5 5 4 3 3 2 1 0 -1 0 2 3 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 2 1 0 1 1 2 nan
nan 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 3 4 5 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 5 5 5 6 6 5 5 4 4 5 6 6 5 5 5 5 4 4 4 4 5 6 5 5 4 5 5 5 5 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 6 7 6 5 5 5 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 5 4 3 1 2 4 7 8 8 7 5 4 4 3 1 2 2 2 3 3 3 5 5 3 2 1 1 2 2 2 2 3 5 7 7 6 6 5 4 4 6 7 8 10 11 12 11 9 8 5 3 3 4 6 7 7 6 4 3 2 2 2 0 -1 -1 -1 -1 0 3 6 5 1 -2 0 4 5 5 3 -5 -13 -11 -0 14 26 31 29 23 16 10 6 6 6 6 5 4 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 16 27 26 11 4 9 10 7 5 6 5 5 6 7 8 7 6 6 5 5 5 4 4 5 6 7 7 6 5 -1 -6 -3 3 -1 -11 -11 -2 5 5 4 3 3 2 2 3 3 4 5 6 7 7 7 7 7 6 5 4 3 2 2 3 3 3 4 6 7 7 6 5 4 4 5 5 7 7 8 10 11 12 12 12 12 11 11 10 10 10 10 11 12 13 11 9 8 7 7 7 7 7 8 8 8 9 9 9 10 11 13 14 16 16 16 14 11 10 12 14 16 19 19 16 11 7 5 3 3 4 8 10 7 2 2 5 6 6 6 5 4 4 4 5 9 14 16 14 10 6 5 5 5 6 6 7 7 8 8 8 9 9 8 7 7 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 5 4 4 3 3 2 2 1 -0 0 1 3 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 2 1 1 1 1 2 nan
nan 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 6 6 6 5 5 6 5 4 4 5 5 5 4 5 5 5 5 4 4 4 4 3 3 4 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 5 6 7 8 8 7 6 6 6 5 5 5 6 5 5 5 5 5 6 5 4 3 3 4 4 4 5 4 4 4 4 4 4 5 5 6 6 8 9 10 10 10 10 9 9 10 10 11 11 11 11 10 9 9 8 7 6 5 5 4 1 0 2 6 10 10 8 6 5 4 4 2 2 3 4 5 5 5 5 4 4 3 2 2 2 2 2 3 2 3 4 5 5 5 6 4 3 3 4 5 5 5 6 5 4 3 1 1 2 3 5 5 4 3 2 0 0 1 0 -1 -2 -1 -0 0 1 3 5 4 2 1 3 5 6 6 0 -10 -13 -4 10 22 30 32 27 19 12 7 6 6 7 6 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 13 25 28 15 6 7 8 6 6 6 5 4 5 7 8 7 6 6 5 5 5 4 5 5 6 6 6 7 6 4 -0 -4 -6 -9 -12 -7 2 5 5 5 4 4 3 2 2 3 3 4 5 6 7 7 7 7 6 6 5 4 4 3 3 3 3 4 5 7 7 7 6 4 4 4 6 7 8 9 10 11 12 12 12 12 11 10 9 8 8 10 12 14 15 15 13 11 10 8 7 7 8 9 10 10 11 11 11 11 12 12 14 15 16 16 13 8 5 6 10 14 16 16 13 10 9 8 6 6 7 9 9 5 3 3 5 6 7 7 7 6 4 2 4 9 15 16 12 7 5 4 5 6 6 6 6 7 7 7 8 7 7 7 6 5 5 5 6 7 7 6 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 2 1 1 1 1 2 3 3 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 3 2 2 1 1 1 1 2 nan
nan 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 5 6 6 6 6 6 6 5 4 4 4 4 4 4 5 6 5 4 4 4 4 5 6 6 6 6 7 8 7 7 6 5 5 6 6 5 4 5 5 4 4 5 6 5 5 5 6 6 4 3 4 4 4 3 3 4 5 5 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 7 8 7 6 6 6 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 8 9 10 10 10 9 9 9 10 11 12 13 13 12 11 10 9 8 8 7 6 6 5 3 0 -0 4 8 10 9 7 6 5 4 4 4 5 7 7 7 6 4 4 3 4 4 4 4 4 4 4 3 1 1 3 2 3 4 5 3 2 3 3 2 2 3 2 2 1 -1 -1 0 1 2 2 1 0 -0 0 1 1 1 -1 -2 -1 1 1 1 3 3 3 2 2 2 4 5 3 -5 -13 -8 5 16 21 23 22 17 12 8 6 6 7 8 7 5 4 4 4 5 4 4 4 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 10 21 29 21 10 6 6 5 6 7 6 4 5 7 7 7 6 6 6 5 5 4 5 6 6 5 6 6 7 7 5 -1 -10 -17 -16 -5 4 6 6 5 5 4 4 3 2 2 3 4 4 5 6 7 7 7 6 6 5 5 4 4 4 3 3 3 4 6 6 6 6 4 3 4 6 7 8 9 10 10 11 11 11 10 9 7 5 5 6 8 11 14 16 18 17 15 12 9 7 7 7 9 9 10 10 10 10 10 10 10 10 11 13 12 9 4 1 1 5 9 11 9 7 8 9 9 7 7 7 7 6 5 4 4 3 5 8 9 9 8 6 5 7 11 15 13 9 5 4 4 5 5 6 6 6 6 7 7 7 6 6 6 5 4 4 4 5 6 6 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 3 3 2 2 1 1 1 2 2 nan
nan 7 7 7 6 6 5 5 4 4 4 4 4 4 4 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 5 6 6 6 6 6 6 5 4 4 3 3 3 4 5 5 5 4 3 3 4 4 5 5 6 7 7 7 7 6 5 5 5 7 6 5 4 5 5 5 5 5 5 4 4 5 6 5 4 3 4 4 3 3 3 4 4 4 4 5 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 5 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 10 9 9 8 8 9 11 13 15 15 14 12 11 10 9 8 7 7 6 6 4 2 -0 0 5 9 10 10 8 6 6 7 7 7 7 8 8 7 5 4 3 4 6 8 10 9 8 6 5 5 4 3 2 1 1 3 3 1 1 2 2 3 5 5 4 2 1 -0 -0 1 2 3 2 1 1 3 3 3 3 2 0 -0 -0 0 1 2 2 1 1 1 2 4 4 -1 -12 -13 0 13 18 16 14 11 9 7 6 6 6 7 7 6 5 4 4 4 4 4 4 4 5 5 4 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 28 26 15 7 6 5 5 7 8 6 5 6 6 6 6 6 6 6 5 4 5 6 6 5 6 6 6 7 7 4 -6 -19 -19 -7 4 7 6 6 5 5 4 3 3 3 3 3 4 4 5 6 6 7 6 6 5 5 4 4 4 4 3 3 4 5 5 5 5 3 2 3 5 7 8 9 9 9 9 9 8 7 5 3 2 2 4 6 9 13 16 18 18 16 13 10 7 5 5 6 7 7 7 7 7 7 8 9 9 8 8 8 7 2 0 1 4 6 6 4 3 5 6 7 7 7 6 6 4 4 4 3 1 2 7 12 13 11 9 9 10 13 12 9 6 3 3 3 4 5 5 5 5 5 6 6 6 6 5 5 4 4 3 3 4 5 6 5 5 6 6 6 5 4 5 5 5 5 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 1 2 2 nan
nan 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 5 4 3 3 3 4 5 6 6 7 7 6 5 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 6 6 7 7 7 6 5 5 6 7 6 5 4 5 6 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 5 5 4 4 4 4 5 5 5 5 4 3 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 7 8 7 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 4 4 4 4 5 4 4 4 4 5 5 6 7 8 9 9 9 8 8 8 9 11 14 16 17 16 14 12 11 9 8 8 7 7 7 6 4 0 -0 4 9 11 10 8 7 9 9 8 6 6 7 8 8 7 6 5 5 7 10 12 12 11 9 8 8 7 5 3 1 -0 -0 0 0 -0 0 2 6 8 9 8 6 4 3 3 3 4 5 5 3 2 3 3 3 3 3 2 1 0 0 1 2 2 0 0 2 4 6 3 -7 -16 -9 8 18 17 13 10 8 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 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 12 24 29 21 12 8 5 4 6 9 9 7 6 6 6 5 6 7 7 6 5 6 6 5 5 7 8 7 6 7 6 -1 -15 -21 -11 2 7 7 6 6 5 5 4 4 3 3 3 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 4 4 5 5 5 4 2 1 1 3 5 7 8 8 8 8 7 6 4 2 0 -0 0 2 4 7 10 14 15 15 14 12 9 6 4 3 3 4 4 3 4 5 6 7 10 11 8 5 5 5 3 2 4 5 5 4 3 3 4 4 5 6 6 5 4 3 3 3 2 -0 0 6 13 15 12 10 11 12 12 9 6 4 2 3 3 4 3 2 1 1 2 3 5 6 6 5 4 4 3 3 3 4 5 5 5 6 7 7 6 5 5 5 5 6 6 7 8 7 7 7 7 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 1 1 2 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 nan
nan 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 6 4 3 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 5 6 6 7 7 7 6 5 6 6 7 6 5 5 5 6 6 5 5 4 3 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 6 7 7 6 5 5 5 5 5 5 5 5 6 6 7 7 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 9 8 8 7 7 8 11 13 16 17 17 15 13 11 10 9 8 8 8 7 7 5 2 2 5 9 9 7 7 8 8 6 3 2 3 4 6 8 9 9 7 6 5 5 7 10 11 10 9 7 5 4 3 2 -0 -1 0 2 2 2 3 6 10 11 10 8 7 6 5 4 4 5 5 3 2 1 1 2 3 3 3 3 3 3 3 3 3 2 2 5 6 6 -1 -12 -16 -3 12 16 12 10 9 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 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 4 7 17 25 25 21 15 9 5 6 9 9 8 7 6 6 5 5 6 7 7 6 6 6 5 5 9 10 8 6 6 7 2 -12 -21 -12 1 6 7 7 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 2 0 0 2 4 6 7 8 7 6 6 4 3 1 0 0 1 2 3 5 7 10 11 11 10 8 7 4 3 2 2 3 3 3 3 4 6 9 13 14 10 6 5 4 3 2 4 5 5 4 3 4 4 4 4 5 5 4 2 -1 0 3 4 1 1 6 11 13 12 11 11 11 10 7 5 3 2 3 3 2 1 -0 -1 -2 -1 1 4 5 5 5 4 3 3 3 3 4 5 5 5 6 7 8 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 6 5 4 4 4 4 4 3 3 3 3 3 3 3 2 1 1 2 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 nan
nan 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 7 6 5 4 4 4 3 3 3 2 2 3 3 3 3 4 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 8 8 8 7 7 7 9 11 13 15 15 14 13 11 10 9 9 8 8 8 7 6 4 3 5 7 6 5 6 7 5 1 -1 -1 1 2 3 5 7 8 7 5 2 0 2 6 9 9 7 6 5 4 3 3 2 1 3 5 5 3 2 5 8 10 9 7 5 4 3 3 3 4 4 3 2 1 2 4 5 4 4 4 4 4 4 4 4 4 4 5 5 2 -7 -15 -12 1 10 11 9 8 7 6 5 5 5 6 6 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 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 9 15 21 24 22 16 12 11 11 11 11 10 9 7 6 4 4 7 7 7 8 8 5 6 10 11 8 6 6 7 2 -11 -18 -10 1 6 7 7 7 7 6 6 5 5 4 4 4 5 5 5 5 6 5 4 3 3 3 4 4 5 5 5 5 6 7 6 4 2 -1 -1 1 3 5 7 7 7 6 5 5 4 2 2 3 3 4 4 4 5 7 7 6 5 4 3 2 2 2 4 4 5 4 4 5 7 11 15 13 9 6 5 4 3 3 4 5 5 5 4 4 5 5 4 2 2 2 -1 -4 -2 5 8 6 5 8 10 11 11 11 11 11 9 8 6 4 2 2 2 2 2 3 3 3 3 4 5 6 6 5 4 3 3 2 3 3 4 5 5 6 7 8 8 7 6 5 5 6 7 7 7 7 7 8 8 7 7 6 5 4 4 3 4 3 3 3 3 4 4 3 3 2 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 nan
nan 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 4 4 4 3 2 2 2 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 4 4 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 4 4 3 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 6 6 7 8 10 11 11 11 11 10 9 9 8 8 8 8 7 6 5 3 3 4 5 5 5 5 2 -1 -0 2 3 2 2 2 3 4 5 5 2 0 2 5 7 8 8 7 7 7 7 7 6 5 5 5 4 2 2 3 6 7 6 4 2 0 -1 -0 2 4 4 4 4 3 4 6 7 5 4 4 4 4 4 4 3 3 3 4 3 -2 -11 -15 -7 4 9 9 8 7 6 6 6 6 6 5 5 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 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 7 11 16 19 19 17 16 15 15 16 16 14 13 11 8 5 5 6 7 9 10 8 10 12 12 9 7 8 7 -0 -11 -14 -6 2 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 5 4 3 2 2 2 3 5 5 5 5 7 8 8 6 2 -2 -4 -1 2 5 7 7 7 6 6 5 4 3 3 3 4 4 4 4 5 6 5 3 1 1 1 1 2 3 5 6 6 5 4 5 9 14 15 11 6 5 5 4 3 3 4 5 6 5 4 4 4 3 0 -2 -1 1 -2 -4 -0 6 9 10 9 9 10 11 11 11 11 11 10 8 6 4 3 2 2 3 4 7 9 10 9 8 8 8 6 4 4 3 2 2 2 3 4 4 5 6 7 8 8 7 5 4 4 5 6 7 7 7 7 7 7 7 6 6 5 4 3 3 3 4 4 4 4 4 3 3 3 2 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 nan
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CAPE
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120 122 121 119 115 120 114 112 109 103 104 96 78 56 38 43 40 37 33 27 30 38 41 36 34 39 47 46 40 36 34 28 22 20 21 23 25 20 16 16 18 17 16 16 14 11 9 8 7 6 5 5 5 5 5 4 3 3 4 4 4 5 4 5 4 4 3 5 6 7 7 6 5 5 8 8 8 9 9 9 8 6 5 5 7 9 10 8 5 6 6 5 4 3 2 1 1 2 3 3 4 5 6 7 7 7 8 7 7 7 7 7 6 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 2 2 2 2 2 2 2 2 3 2 2 1 0 30 20 5 267 676 896 833 835 1103 1323 1362 1258 1059 906 832 823 912 1107 1352 1532 1546 1422 1313 1344 1526 1706 1847 2108 2462 2842 3138 3193 2960 2605 2214 1789 1353 922 482 142 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 20 20 21 25 27 29 30 31 32 34 35 34 33 33 33 30 27 28 28 27 26 25 23 25 24 25 24 22 21 21 21 20 20 21 20 21 25 26 24 22 22 22 21 21 22 23 26 30 35 37 38 39 38 38 34 30 29 29 28 28 28 27 26 26 25 23 22 24 25 26 29 27 25 26 27 27 26 26 25 25 26 27 29 29 28 31 32 31 31 31 31 31 31 29 27 27 27 28 28 28 28 28 27 27 27 28 31 32 32 30 28 27 30 32 33 34 35 36 34 31 28 27 26 26 25 24 25 26 24 20 16 10 4 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 6 10 15 27 41 51 59 58 65 96 101 124 144 189 224 257 430 618 674 703 837 995 1023 955 921 862 796 1011 1108 1141 1031 949 870 844 860 843 796 787 839 822 875 922 843 810 857 1380 2255 3047 3476 3523 3328 3075 2823 2565 2301 2043 1807 1573 1503 1543 1646 1720 1728 1721 1717 1662 1495 1428 1443 1460 1484 1599 1817 1966 1956 1873 1838 1901 2038 2224 2382 2528 2545 2475 2367 2229 2111 1996 1934 2116 2544 2883 3135 3041 2714 2296 2057 1945 1804 1708 1623 1512 1473 1506 1478 1603 1825 1872 1791 1744 1762 1786 1794 1883 1985 1975 1610 1534 1703 2290 2544 2106 1569 1293 1197
105 101 103 109 115 113 103 99 94 79 85 83 77 67 47 46 44 39 38 29 28 34 37 36 34 36 41 41 35 31 31 30 26 23 23 26 28 26 23 20 22 19 16 15 14 10 8 7 6 5 4 4 4 4 3 3 3 3 4 5 4 5 4 5 5 4 4 4 6 7 7 6 5 5 8 9 8 9 10 10 9 7 5 5 7 9 10 7 5 4 5 4 4 2 1 1 2 2 3 3 4 5 6 6 7 7 7 7 7 8 7 6 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 4 16 8 19 388 768 859 918 1075 1225 1260 1175 1016 816 727 692 717 857 1094 1349 1492 1450 1310 1226 1274 1405 1517 1634 1912 2200 2573 2889 2965 2701 2264 1816 1396 959 518 176 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 19 19 20 20 22 25 27 28 28 27 28 29 31 33 35 33 29 28 26 24 25 32 27 32 25 23 22 22 21 20 20 19 19 20 20 21 21 20 19 19 19 20 20 21 23 24 26 30 34 34 32 32 32 33 33 32 32 33 32 30 29 28 26 26 24 23 24 26 25 30 28 27 27 30 32 32 31 29 28 27 28 29 31 30 29 31 32 29 28 28 28 28 28 28 27 28 29 30 30 30 31 31 30 28 28 30 30 30 30 30 29 30 31 32 30 34 34 31 29 31 31 30 29 27 25 22 23 24 21 19 13 8 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 3 6 10 15 24 36 51 61 63 71 70 69 64 83 115 119 211 368 491 582 726 923 998 945 929 912 875 872 955 1073 1001 923 869 834 836 836 793 780 859 849 837 874 880 944 869 1056 1664 2504 3267 3596 3472 3236 2991 2712 2411 2164 1924 1614 1448 1449 1516 1578 1606 1629 1657 1630 1497 1406 1425 1444 1468 1572 1773 2010 2140 2016 1919 1949 2017 2176 2302 2447 2498 2471 2361 2211 2163 2154 2158 2327 2622 2940 3198 3082 2754 2468 2368 2290 2140 2011 1935 1873 1838 1840 1775 1782 1758 1688 1546 1416 1364 1346 1426 1718 1935 2048 1919 1513 1350 1897 2471 2427 1899 1622 1482
84 85 88 94 101 101 94 86 75 64 66 65 75 79 70 54 47 46 48 44 33 35 33 25 23 28 35 39 38 35 34 33 31 28 27 30 31 31 28 25 24 21 16 14 12 9 7 5 4 4 3 3 4 3 2 2 4 3 4 4 4 4 5 6 5 4 4 4 6 7 6 5 5 7 9 10 10 11 12 11 8 6 4 5 8 10 9 6 4 3 4 4 4 2 1 1 1 1 2 3 5 6 5 6 7 8 7 7 7 8 7 6 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 4 10 5 3 125 608 888 833 963 1196 1252 1122 934 753 601 552 588 685 868 1122 1360 1439 1321 1155 1093 1161 1283 1394 1524 1693 1844 2063 2422 2599 2335 1854 1398 976 560 222 43 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 4 10 16 17 17 18 20 20 21 23 25 26 28 28 28 28 30 30 27 26 27 29 31 34 25 23 21 21 20 20 19 19 19 19 18 18 17 18 18 18 18 18 18 18 18 18 20 23 26 25 26 31 31 28 30 32 35 36 33 33 34 32 31 32 32 29 27 26 27 27 28 27 23 25 26 27 29 32 33 34 33 32 32 32 33 34 33 33 32 33 30 27 28 28 28 28 27 27 27 27 28 30 30 30 31 31 30 30 30 28 27 27 26 27 28 27 28 29 33 34 32 32 32 32 31 30 28 25 22 23 22 21 19 15 9 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 1 3 5 8 13 23 38 53 63 70 77 79 69 69 75 63 82 162 277 390 515 730 861 906 913 888 887 855 841 875 866 838 834 838 843 848 839 845 881 887 842 900 934 1003 986 942 1117 1690 2842 3509 3566 3392 3166 2915 2610 2345 2076 1768 1523 1433 1452 1472 1502 1560 1604 1582 1497 1455 1476 1482 1483 1551 1764 2109 2387 2314 2210 2180 2068 2117 2213 2308 2398 2469 2450 2274 2284 2240 2412 2640 2801 3023 3199 3091 2777 2569 2585 2471 2254 2123 2144 2058 2024 1935 1771 1604 1433 1356 1303 1128 1040 1033 1050 1365 1644 1915 2155 1897 1487 1563 2013 2257 1722 1634 1461
95 89 83 84 84 89 95 92 79 70 70 64 66 68 57 45 46 53 59 59 48 40 35 19 11 17 26 35 40 39 36 32 31 27 27 29 33 36 32 27 25 21 16 12 10 7 5 4 3 3 3 3 3 3 2 2 3 3 4 5 4 5 6 5 5 4 4 4 6 6 5 4 5 8 10 10 11 11 11 9 6 4 3 6 9 11 9 5 3 3 3 3 4 3 2 2 2 2 3 4 5 5 6 6 7 7 8 7 7 7 6 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 3 4 4 3 3 2 2 2 2 2 2 3 3 7 11 13 9 10 11 16 93 428 811 916 902 1067 1199 1119 917 714 549 453 463 581 746 932 1179 1344 1319 1150 994 975 1129 1251 1241 1258 1359 1414 1480 1713 1917 1723 1309 861 479 210 59 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 15 15 16 17 18 20 21 22 23 22 22 23 25 28 29 28 33 33 33 32 28 20 18 18 18 18 18 18 18 18 17 17 16 16 17 17 16 16 16 16 17 17 17 18 19 19 19 20 26 27 27 31 34 34 32 31 31 30 29 29 32 35 33 28 27 28 27 26 26 23 24 25 25 27 30 32 34 34 35 35 34 34 34 34 33 32 32 32 32 32 30 29 28 27 26 26 25 26 27 26 27 28 28 27 27 27 26 25 25 24 25 25 25 26 27 30 32 31 31 31 32 32 30 28 26 25 24 22 21 18 16 11 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 1 2 5 8 15 24 35 46 60 72 74 69 71 73 60 41 48 119 240 338 462 598 746 813 821 860 849 809 778 756 741 768 838 853 833 834 864 882 912 912 913 922 941 967 934 884 1125 2156 3027 3449 3474 3326 3113 2826 2528 2258 1960 1619 1468 1433 1442 1460 1488 1531 1541 1523 1520 1520 1513 1493 1509 1762 2327 2631 2606 2512 2435 2274 2201 2213 2228 2275 2383 2504 2332 2257 2330 2745 3022 3104 3200 3289 3149 2752 2485 2515 2437 2200 2100 2181 2129 1991 1798 1626 1496 1328 1173 1083 933 921 962 982 1108 1346 1746 2140 2192 1957 1486 1590 1732 1565 1454 1240
92 94 93 94 89 97 109 109 97 84 76 69 63 60 51 38 46 56 65 69 61 50 43 33 19 14 19 25 30 36 34 30 27 24 24 25 30 35 33 28 26 22 16 12 9 6 3 2 2 3 2 2 2 2 2 2 3 4 4 4 4 5 5 5 4 4 4 4 6 5 6 6 5 8 9 8 10 11 9 7 4 3 5 8 11 11 8 3 2 2 3 3 4 3 2 2 2 3 3 3 4 5 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 4 3 3 3 4 3 4 4 4 3 3 3 2 2 2 2 2 2 3 2 2 1 54 75 49 21 12 14 94 360 772 893 806 1005 1162 1112 904 667 480 372 359 448 626 827 1012 1217 1305 1169 982 887 888 951 997 928 854 888 906 896 1002 1109 964 681 344 131 39 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 11 14 14 16 18 19 20 20 20 20 21 21 24 26 26 26 26 26 24 20 16 16 16 17 16 16 16 16 16 16 15 15 15 15 16 15 15 15 15 16 16 17 18 19 18 17 17 18 19 21 26 30 29 27 29 30 28 26 27 28 30 30 29 27 25 25 25 26 26 25 24 24 25 27 30 32 33 34 35 34 33 33 33 32 31 31 30 30 30 30 29 29 28 26 25 24 24 24 25 25 25 25 25 25 25 25 24 24 24 24 24 25 25 26 27 29 30 30 31 30 31 31 30 28 27 25 23 21 17 15 11 4 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 1 2 5 10 17 24 33 41 50 58 62 65 72 74 50 21 43 134 232 278 357 549 674 733 796 846 848 810 759 711 721 783 814 816 806 818 837 887 943 960 917 836 891 948 883 933 1462 2357 3104 3394 3373 3236 3018 2750 2498 2252 1798 1551 1443 1432 1446 1455 1475 1489 1487 1478 1489 1481 1466 1465 1707 2206 2662 2803 2758 2628 2431 2304 2307 2253 2177 2194 2305 2423 2481 2633 3010 3266 3320 3347 3412 3263 2763 2381 2350 2315 2110 2008 2073 2088 1902 1593 1403 1387 1296 1114 1075 960 949 988 1034 1042 1142 1475 1874 2346 2535 1513 1348 1388 1380 1306 1153
88 96 102 104 104 112 113 114 108 96 82 75 72 64 50 41 52 61 68 72 66 56 51 45 34 26 25 25 24 30 32 28 25 21 19 19 20 21 27 29 27 22 17 12 9 5 2 1 1 1 1 1 2 2 2 3 3 4 5 4 4 5 5 5 4 4 4 5 6 6 6 6 6 8 8 9 12 10 7 5 4 5 7 10 12 10 7 2 1 3 4 4 4 4 2 2 3 3 4 3 4 6 6 7 7 7 7 7 7 5 5 5 5 5 5 5 4 2 1 1 1 2 3 4 3 4 4 3 2 2 2 2 2 2 2 2 1 1 1 124 158 75 19 4 57 278 626 843 834 962 1135 1121 944 689 473 324 256 302 465 692 907 1071 1201 1230 1073 881 765 665 604 572 501 424 404 403 413 497 553 413 228 71 17 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 4 6 7 9 12 13 14 16 17 17 17 18 18 19 19 22 24 25 25 24 22 19 16 15 15 15 16 15 15 15 15 15 15 15 14 14 15 16 15 15 15 15 16 16 16 17 18 18 17 16 16 16 18 21 27 28 29 32 32 29 26 27 28 28 29 31 30 27 26 25 25 26 25 25 25 25 27 29 31 32 33 34 34 34 33 32 32 32 31 31 31 30 29 28 27 26 26 25 24 24 24 25 25 25 24 24 23 24 24 24 23 23 23 23 24 24 25 26 27 29 30 30 31 31 32 31 30 29 26 23 21 18 14 10 6 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 1 3 8 13 19 25 33 40 46 51 55 63 71 54 27 26 86 160 191 243 408 574 681 755 833 895 892 840 770 739 762 812 835 808 783 795 848 920 984 1014 797 809 883 926 981 1080 1707 2539 3097 3320 3316 3189 2985 2774 2556 2082 1624 1398 1378 1417 1446 1471 1485 1466 1446 1470 1409 1400 1429 1578 1905 2388 2741 2837 2741 2476 2175 2337 2248 2129 2089 2190 2497 2718 2908 3176 3350 3330 3290 3472 3332 2790 2318 2204 2195 2044 1894 1895 1956 1841 1444 1187 1206 1186 1189 1185 1074 987 971 969 957 953 1209 1654 2327 2422 1689 1270 1164 1145 1132 1071
117 110 106 103 98 94 95 97 101 89 89 87 83 77 70 66 70 73 71 67 58 54 54 51 43 36 32 29 26 28 29 25 24 20 17 14 13 13 14 19 23 22 16 10 7 4 1 0 0 0 1 1 2 2 2 2 3 3 4 4 4 5 5 5 4 5 5 5 6 7 6 6 8 9 10 11 13 9 5 5 6 9 12 12 11 8 5 2 2 3 4 4 5 4 3 3 3 3 3 4 5 7 7 7 7 7 7 7 6 5 5 5 5 5 5 4 2 1 1 1 1 1 2 3 2 3 3 3 2 2 2 2 2 2 1 1 1 6 26 74 101 56 11 8 140 416 631 637 621 816 996 946 753 519 347 228 192 279 498 772 995 1118 1163 1130 973 738 518 381 279 209 147 99 85 88 113 170 186 103 37 3 1 2 4 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 2 4 6 8 11 12 12 14 15 15 15 16 16 16 17 20 23 24 23 21 19 16 14 14 14 14 13 13 12 12 12 14 15 16 15 15 15 15 15 15 15 15 15 15 16 16 17 17 18 17 15 16 17 19 25 26 30 31 30 28 26 27 27 27 27 29 29 28 26 26 26 25 26 26 26 26 27 29 30 31 32 33 34 35 34 33 33 34 34 33 32 32 31 30 29 29 29 28 28 27 26 26 26 25 24 24 23 24 24 23 22 22 22 23 23 23 24 25 26 28 31 31 31 32 31 30 30 30 27 24 22 19 15 10 6 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 1 1 5 8 13 17 24 30 36 41 47 53 58 50 35 31 75 100 151 206 295 443 614 729 832 945 996 958 884 806 756 780 829 825 777 756 805 891 973 1071 905 818 862 944 1050 1084 1311 1903 2623 3246 3405 3349 3184 2989 2763 2386 1871 1489 1363 1391 1426 1469 1515 1503 1477 1467 1412 1379 1376 1435 1677 2126 2570 2829 2822 2601 2173 2206 2188 2161 2171 2278 2519 2761 2955 3176 3323 3268 3283 3398 3321 2843 2325 2096 2061 1973 1810 1712 1819 1723 1423 1178 1150 1193 1321 1349 1201 1056 972 883 842 868 1058 1454 2028 2230 1873 1404 1205 1053 1006 976
114 98 108 102 92 93 89 86 99 102 99 95 91 92 90 88 92 96 93 75 58 46 46 50 44 38 34 32 30 30 29 24 22 20 17 14 14 12 14 17 20 20 14 9 3 2 2 1 1 1 1 1 1 2 2 3 3 3 4 4 4 4 4 5 5 5 4 4 5 7 6 7 8 10 11 11 9 7 5 7 9 12 12 11 10 7 4 3 2 3 4 5 5 5 4 5 4 3 3 4 6 7 7 7 7 7 7 6 5 5 5 5 5 5 4 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 35 128 178 98 21 2 26 156 317 379 437 609 829 931 834 608 401 264 180 171 271 509 828 1089 1197 1176 1076 871 568 348 190 81 24 14 5 0 2 10 15 11 4 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 10 10 10 11 10 11 13 14 15 19 22 22 21 18 15 13 13 13 10 11 10 11 12 13 13 14 16 17 16 17 16 16 16 16 15 15 15 15 15 16 16 16 18 18 15 15 16 18 21 22 26 27 26 26 27 28 27 26 26 26 27 27 26 27 26 25 26 26 27 26 26 28 30 31 31 32 33 35 35 34 36 38 38 39 39 39 36 35 34 35 34 34 32 31 31 31 30 29 26 25 24 22 22 21 21 22 22 22 22 23 24 25 26 27 29 31 31 32 29 30 31 30 28 25 23 20 17 10 6 0 0 0 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 3 5 7 11 15 20 26 33 40 47 44 46 37 35 59 102 144 179 228 336 486 630 803 1002 1104 1078 980 878 800 770 783 788 755 719 784 835 921 1016 980 888 893 951 1023 1089 1157 1424 2044 3049 3369 3425 3319 3109 2926 2712 2362 1957 1609 1438 1397 1435 1513 1522 1514 1497 1438 1382 1358 1387 1562 1922 2392 2866 2918 2786 2474 2213 2156 2176 2252 2410 2524 2638 2811 2974 3056 3015 3041 3238 3304 2964 2436 2061 1919 1891 1853 1661 1658 1658 1508 1337 1314 1382 1476 1463 1283 1062 872 829 876 934 1082 1349 1744 2096 1876 1416 1263 1123 962 899
88 88 104 96 97 106 95 93 98 107 109 102 91 90 92 95 105 116 115 96 69 46 40 44 42 37 32 31 32 31 30 26 22 21 18 17 18 18 17 19 20 18 12 5 1 1 2 2 2 2 2 2 2 2 2 2 3 4 3 4 5 4 5 5 4 4 4 4 6 7 6 6 8 10 11 10 8 6 7 10 11 13 12 11 9 7 5 4 3 5 6 7 7 7 6 6 5 4 4 5 7 7 7 7 7 7 7 5 5 5 5 5 5 4 3 2 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 1 3 12 73 188 241 143 24 4 31 81 104 86 215 532 806 868 764 563 365 217 157 165 244 440 773 1102 1275 1263 1131 863 448 129 25 4 19 41 14 2 0 0 0 0 0 0 0 0 0 1 0 0 7 8 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 1 2 3 4 5 5 6 7 7 7 8 9 10 12 18 20 17 15 11 10 10 9 9 10 10 10 11 11 13 15 16 16 17 18 18 17 17 16 16 16 16 16 16 16 16 16 17 18 18 15 15 15 16 17 19 22 25 26 27 26 26 25 25 26 26 26 25 25 26 26 25 25 26 26 26 26 27 29 30 32 32 33 34 36 37 39 40 40 40 41 41 39 39 40 40 39 39 37 37 37 36 35 34 32 29 27 25 21 20 20 20 20 20 21 22 24 24 25 26 27 29 30 31 30 32 32 30 28 26 23 21 19 13 6 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 1 1 1 1 2 4 6 10 15 21 27 36 47 41 42 40 43 59 82 110 144 186 271 416 527 717 1007 1194 1188 1070 948 860 793 750 751 756 724 767 805 864 957 985 924 886 907 951 1015 1096 1179 1596 2551 3172 3431 3437 3219 3040 2945 2696 2267 1802 1449 1354 1392 1456 1471 1474 1466 1418 1371 1371 1417 1535 1655 2096 2687 2976 2963 2716 2406 2236 2241 2355 2543 2628 2699 2826 2878 2820 2760 2810 3049 3224 3050 2589 2047 1806 1856 1891 1758 1605 1590 1527 1399 1369 1487 1715 1557 1324 1117 966 908 951 1036 1161 1392 1821 2150 1711 1344 1244 1172 981 882
75 83 92 89 96 117 112 118 117 114 109 105 100 96 92 94 105 117 126 114 88 63 47 43 43 38 29 28 32 31 31 29 25 23 21 21 22 22 21 19 18 16 11 6 2 1 2 2 2 2 3 2 2 1 2 2 3 3 3 4 4 4 4 5 4 4 4 5 7 7 6 7 9 11 11 10 8 8 10 12 12 12 11 11 10 9 7 5 4 5 7 8 8 8 7 6 4 4 5 6 7 7 7 7 7 7 5 5 5 5 5 5 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 4 19 77 124 94 29 6 6 16 17 9 6 109 364 631 780 730 539 340 214 174 185 210 328 581 930 1218 1323 1266 1071 679 270 253 412 589 619 194 53 7 0 0 0 0 0 0 0 0 0 0 0 14 16 6 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 2 2 2 4 7 9 5 5 6 8 11 14 17 16 12 11 10 8 8 9 8 8 8 9 10 10 12 14 15 15 16 16 16 17 17 17 17 17 16 16 16 16 16 16 17 18 18 17 16 15 15 15 17 21 25 26 25 25 25 26 26 26 24 25 25 24 24 25 25 25 26 26 26 27 29 31 33 37 35 37 38 39 39 39 38 38 38 38 38 39 39 40 41 41 41 41 41 41 40 39 37 34 33 30 29 24 22 21 20 20 19 20 21 23 24 25 26 26 27 28 30 32 33 33 31 28 26 23 20 16 13 7 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 1 2 3 2 1 1 2 3 6 10 16 21 30 41 44 43 42 49 68 84 92 114 140 191 269 386 591 936 1200 1273 1191 1051 930 836 766 762 776 768 779 805 822 893 957 944 899 880 910 972 1095 1152 1401 2031 2852 3364 3415 3267 3135 3103 2929 2488 2040 1608 1403 1363 1381 1385 1383 1384 1373 1356 1364 1396 1542 1465 1697 2209 2827 3128 2951 2647 2408 2346 2526 2557 2528 2838 3027 2988 2753 2571 2620 2812 3023 3024 2738 2141 1861 1836 1824 1742 1606 1499 1408 1283 1274 1425 1821 1680 1442 1245 1099 1042 1078 1176 1270 1351 1573 1842 1568 1375 1291 1179 1024 927
88 95 99 100 103 116 126 130 121 119 112 104 99 99 101 101 104 114 122 115 102 84 62 48 41 35 28 25 30 31 33 31 28 26 25 25 25 25 23 19 18 18 13 8 4 1 2 3 3 3 2 3 3 2 3 3 3 3 3 3 4 4 4 5 5 5 5 6 7 7 8 11 12 11 11 9 9 11 12 11 11 10 9 10 9 8 6 4 5 7 8 8 8 8 7 6 3 4 5 7 7 7 7 7 6 5 4 5 5 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 2 7 42 65 39 5 1 1 3 2 0 0 100 364 644 783 687 480 305 210 178 183 182 235 359 621 941 1184 1295 1262 1064 934 1156 1618 1748 1570 764 249 26 0 0 0 0 0 0 0 0 0 0 0 8 8 4 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 1 1 3 6 8 4 5 5 8 11 11 10 8 6 6 6 7 6 6 6 6 7 9 9 10 11 13 15 15 15 15 16 16 17 18 18 18 18 17 16 16 16 16 17 18 19 19 18 18 17 17 19 22 24 24 25 25 25 26 26 26 25 24 24 26 26 25 25 26 27 28 30 33 37 39 41 43 42 43 45 45 43 41 39 39 39 40 39 38 39 39 40 41 42 43 43 43 42 42 41 41 37 33 32 30 27 25 23 21 20 20 21 22 23 24 25 25 26 27 29 31 31 31 31 28 25 23 22 17 12 6 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 4 2 0 1 1 2 4 8 12 17 24 32 37 40 41 50 76 93 97 97 112 141 157 258 462 785 1133 1348 1370 1243 1057 918 824 792 789 795 801 808 817 854 927 971 929 842 891 965 1086 1163 1267 1658 2445 3147 3320 3305 3263 3273 3136 2744 2380 1962 1580 1375 1335 1326 1312 1320 1323 1336 1341 1338 1407 1384 1432 1701 2345 3065 3064 2759 2416 2216 2432 2468 2623 2959 3216 3176 2832 2510 2478 2611 2764 2893 2740 2383 2113 1910 1769 1690 1535 1401 1280 1186 1285 1550 1854 1840 1602 1374 1207 1113 1187 1323 1393 1451 1663 1688 1438 1276 1233 1100 985 937
87 90 104 109 104 107 115 120 118 121 108 104 102 103 105 104 102 103 104 101 97 82 62 48 36 30 25 22 26 31 32 32 31 28 27 27 25 24 22 19 19 19 17 12 8 4 3 3 3 3 2 2 2 2 1 2 3 3 3 3 4 4 4 4 5 4 4 6 7 9 12 13 10 9 9 9 11 11 10 9 9 8 8 7 7 6 4 3 5 8 8 8 8 7 6 5 4 5 7 7 6 7 7 6 5 4 5 5 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 5 4 1 4 4 2 0 0 0 0 0 1 11 101 379 686 805 636 431 283 191 155 155 180 188 238 360 576 839 1082 1217 1224 1304 1515 1590 1451 1242 859 374 20 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 1 1 2 3 3 3 1 3 3 3 3 4 4 5 5 5 5 5 5 8 10 9 9 9 10 12 13 14 15 16 18 18 19 19 19 19 18 18 17 17 17 17 18 21 22 23 21 23 23 23 23 24 25 25 25 25 24 25 26 27 28 33 40 40 36 31 29 30 33 36 38 41 47 47 47 47 47 48 50 51 49 46 43 42 41 40 40 41 41 41 43 44 45 46 46 45 44 43 43 43 42 40 36 34 32 30 28 26 24 24 23 23 21 22 23 23 23 25 26 28 28 28 29 27 25 23 21 18 13 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 3 6 5 2 0 0 0 1 2 5 8 14 21 27 28 27 38 49 75 90 95 72 84 102 113 167 329 638 1046 1394 1558 1497 1298 1082 908 819 795 803 820 829 820 818 881 974 944 862 866 941 1074 1178 1238 1463 2046 2795 3283 3437 3370 3378 3254 3000 2724 2372 1887 1463 1331 1313 1321 1326 1315 1322 1313 1300 1288 1273 1299 1418 1842 2746 3178 2974 2598 2242 2262 2471 2805 3127 3345 3342 3012 2634 2479 2478 2534 2648 2653 2570 2365 2039 1730 1612 1521 1403 1309 1280 1448 1775 2026 1931 1668 1450 1295 1215 1222 1283 1289 1362 1612 1676 1390 1114 1064 1084 896 920
96 103 117 122 110 101 102 104 114 118 101 99 103 103 106 104 97 91 88 86 79 67 53 43 36 29 25 23 26 30 32 32 32 29 27 27 25 22 20 19 18 17 16 14 11 7 6 4 3 2 1 1 1 1 2 2 2 2 3 4 4 4 4 4 5 4 3 5 6 10 12 10 8 8 9 11 10 9 7 6 7 8 7 6 5 4 3 3 5 7 8 8 8 7 5 4 5 6 7 7 7 6 7 6 4 4 5 5 5 5 5 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 1 3 3 0 0 1 3 5 2 0 0 0 6 46 185 487 806 840 574 370 270 192 151 160 176 183 203 234 337 518 702 878 1076 1159 1226 1098 733 490 419 248 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 0 0 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 4 4 5 5 8 13 12 9 9 9 10 11 14 15 16 17 18 19 19 19 20 20 20 20 20 21 21 21 21 25 25 28 30 33 33 32 30 28 27 27 27 27 26 27 30 34 38 40 42 41 40 39 39 41 41 42 43 46 48 48 49 49 50 51 53 54 54 53 49 46 44 43 43 43 43 45 46 47 48 49 48 47 47 45 44 43 43 43 42 40 36 33 32 31 29 29 27 26 24 23 21 21 21 22 23 25 26 27 27 26 25 23 21 17 11 4 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 5 7 6 4 2 1 0 1 2 3 5 10 18 25 28 25 31 40 49 61 72 54 56 66 71 85 157 358 743 1234 1655 1802 1639 1338 1040 867 805 798 817 846 848 784 813 913 923 857 821 895 1050 1187 1274 1389 1792 2619 3245 3557 3456 3394 3320 3191 3025 2752 2271 1706 1421 1299 1282 1375 1379 1332 1278 1261 1242 1204 1256 1386 1745 2496 3181 3250 2927 2571 2411 2560 2916 3164 3319 3365 3181 2887 2624 2436 2314 2265 2317 2360 2218 2008 1739 1581 1578 1522 1538 1618 1766 1975 2088 1890 1658 1466 1329 1204 1162 1313 1609 1798 1705 1645 1387 1123 817 942 883 919
101 109 121 123 111 96 88 96 115 110 100 98 99 102 101 99 91 81 74 71 66 60 53 46 34 29 27 27 32 33 34 35 34 31 28 26 24 21 18 17 17 17 18 17 13 9 8 4 1 0 0 1 2 3 4 3 4 3 4 5 4 4 4 5 5 4 4 4 5 7 10 10 10 10 10 10 8 7 5 4 6 6 5 4 4 3 3 3 5 8 9 9 8 7 6 6 6 6 7 7 7 6 5 4 5 5 5 5 5 5 4 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 1 27 130 341 643 942 885 475 276 231 212 174 185 205 186 168 205 325 405 448 548 715 849 866 584 223 73 70 55 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 1 1 1 2 2 2 2 2 2 3 4 4 5 7 4 5 7 8 10 13 14 14 15 15 17 17 18 19 21 22 23 24 24 24 24 24 25 26 27 27 30 35 39 38 37 37 36 36 35 35 35 38 41 38 37 34 29 26 24 27 31 34 36 37 40 42 45 47 48 50 51 52 54 55 56 56 56 53 50 48 46 46 46 46 46 47 49 51 53 53 51 51 48 47 45 43 43 44 43 42 40 38 35 33 32 30 29 28 28 24 21 20 20 21 22 23 24 25 25 24 22 20 15 9 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 3 7 10 4 3 3 3 3 4 3 4 5 8 14 21 28 30 32 34 39 46 56 53 46 43 48 58 63 118 346 857 1429 1939 1968 1615 1222 967 831 778 802 846 865 780 785 866 906 834 793 899 1067 1224 1317 1334 1486 2400 3074 3444 3486 3426 3365 3269 3170 3063 2724 2215 1823 1560 1439 1475 1481 1389 1270 1213 1227 1199 1255 1424 1758 2214 2748 2939 2928 2838 2684 2675 2963 3163 3276 3241 3175 2984 2723 2440 2132 1920 1944 1934 1872 1858 1869 1815 1855 1954 2054 2100 2072 2029 1925 1749 1601 1448 1335 1257 1265 1499 1887 2078 2127 1825 1439 1310 1007 959 982 1003
79 93 107 109 97 85 82 97 117 108 102 93 82 81 87 83 77 69 71 75 72 64 50 39 33 32 31 32 34 35 35 35 36 34 30 24 20 17 16 18 18 19 20 19 15 11 7 2 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 10 10 11 11 10 8 7 7 6 7 8 8 7 5 3 3 3 4 7 9 9 9 8 6 5 6 7 6 7 7 7 5 4 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 2 2 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 64 242 509 781 977 842 386 163 150 180 140 159 217 255 269 359 445 226 342 273 239 229 143 47 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 1 1 1 1 2 3 4 5 5 5 6 7 7 8 9 12 13 14 14 14 15 16 17 19 21 23 24 25 25 25 25 25 26 27 27 28 28 30 33 34 33 33 34 34 35 36 34 33 31 29 27 25 24 22 22 24 24 25 25 26 29 34 36 39 45 48 50 51 53 55 56 57 57 58 59 59 53 50 50 49 49 49 50 52 55 58 59 59 58 53 50 50 48 45 44 43 42 42 41 40 38 37 34 32 30 29 26 23 21 20 20 21 21 21 24 24 22 21 18 13 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 2 8 16 5 2 4 6 6 7 7 6 5 6 10 15 23 30 36 31 35 41 48 51 47 38 34 39 58 69 172 466 921 1576 1869 1669 1348 1059 852 746 792 793 794 787 802 850 885 828 766 886 1043 1196 1291 1286 1330 1993 2771 3274 3444 3456 3471 3421 3372 3285 3095 2772 2401 2094 1855 1673 1534 1400 1281 1199 1207 1217 1270 1413 1624 1893 2190 2459 2679 2805 2812 2834 2992 3147 3205 3117 3058 2989 2839 2593 2221 1821 1709 1758 1810 1991 2195 2303 2375 2423 2399 2309 2088 1907 1747 1579 1483 1394 1344 1336 1355 1494 1771 1977 2211 2111 1704 1542 1349 1172 1087 1165
67 91 109 111 99 90 94 106 105 94 99 90 82 78 77 73 70 69 77 84 84 73 56 41 34 34 34 35 35 35 33 35 37 35 30 23 18 16 18 21 24 23 21 18 15 11 6 2 0 0 0 0 0 1 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 7 7 10 10 8 7 5 5 6 8 9 9 8 4 2 3 5 7 9 10 10 9 7 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 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 3 37 162 369 624 887 1017 792 322 99 70 111 92 96 150 192 365 399 217 66 142 37 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 4 6 5 5 5 6 6 6 8 11 13 13 13 15 16 18 21 22 23 24 25 26 26 26 26 27 27 27 26 25 26 28 29 29 27 28 28 27 25 25 24 24 23 23 23 23 25 31 35 34 27 23 22 23 24 26 28 29 38 44 47 49 52 54 56 57 59 59 59 67 58 57 55 53 52 52 52 54 57 61 62 63 63 60 56 53 51 49 47 46 44 43 41 40 39 40 38 36 34 30 27 24 21 20 20 22 21 20 21 21 21 20 16 11 5 0 0 0 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 17 12 11 12 13 12 11 10 9 8 6 8 9 16 25 31 30 31 36 42 45 46 41 37 38 50 58 73 234 566 1028 1361 1427 1318 1047 847 737 745 723 735 795 819 823 848 816 766 828 964 1110 1205 1201 1266 1742 2432 2995 3281 3370 3466 3514 3540 3380 3231 3040 2787 2508 2217 1898 1593 1386 1267 1188 1189 1213 1264 1350 1441 1519 1595 1743 2057 2409 2665 2852 2950 3105 3140 3039 2961 2964 2969 2858 2520 2130 1939 1955 2210 2447 2587 2664 2693 2605 2402 2153 1882 1668 1513 1432 1428 1473 1504 1422 1277 1349 1495 1748 2211 2326 2062 1797 1610 1303 1100 1430
85 95 116 121 115 106 107 110 106 102 101 93 90 80 77 76 78 82 86 89 87 75 55 43 37 36 36 37 38 36 33 35 39 37 31 25 21 19 19 23 26 26 22 18 15 11 7 3 1 0 0 0 0 0 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 7 9 10 8 8 5 4 7 8 7 7 5 4 3 3 6 9 9 10 9 7 6 6 6 6 7 7 7 6 5 5 5 4 4 5 4 5 4 4 3 2 2 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 4 25 120 342 574 821 1063 1073 729 282 67 38 55 59 82 219 265 426 320 85 12 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 5 6 6 6 6 8 11 12 13 14 16 19 19 21 24 25 26 27 27 27 27 27 27 27 26 24 22 22 24 25 25 24 24 23 22 21 20 21 21 22 22 22 22 23 26 25 23 21 19 18 19 20 23 25 27 33 38 43 47 49 51 54 56 58 59 59 60 60 65 64 59 55 54 54 55 58 64 64 65 64 64 62 59 56 53 51 49 48 46 43 41 40 40 39 39 38 36 32 27 23 21 21 21 22 21 19 19 20 20 16 8 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 0 5 11 15 18 20 18 16 16 15 13 13 11 8 8 9 11 17 23 27 29 32 35 35 39 41 41 41 50 61 60 148 365 666 928 1061 1191 1001 864 756 711 712 733 782 818 797 814 805 781 814 886 993 1087 1132 1188 1358 1783 2466 2873 3133 3271 3381 3439 3313 3160 3023 2859 2651 2398 2075 1725 1452 1288 1209 1191 1205 1250 1287 1277 1219 1157 1276 1614 1996 2440 2791 2951 3051 3069 2948 2859 2891 2966 2904 2697 2479 2279 2196 2324 2596 2791 2748 2766 2619 2383 2098 1803 1581 1450 1459 1562 1643 1614 1480 1396 1326 1303 1515 2241 2735 2401 2028 1865 1467 1326 1663
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97 106 119 124 126 125 118 111 101 85 77 75 73 72 74 73 76 76 77 78 81 80 70 57 49 46 52 58 49 41 37 43 50 47 42 36 32 27 26 26 24 23 20 16 12 9 5 2 1 1 0 0 1 1 1 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 4 7 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 10 9 7 6 6 7 7 7 6 6 7 6 5 5 5 4 4 5 5 4 4 4 3 2 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 1 7 42 153 383 706 1039 1234 1341 1119 529 125 31 18 30 50 90 117 136 80 34 8 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 1 2 4 5 5 6 5 7 8 9 10 11 12 15 19 20 21 23 25 26 26 27 27 27 26 25 24 23 23 21 18 18 20 20 21 20 20 19 18 17 16 16 16 17 17 17 15 16 14 12 12 12 12 12 12 14 14 18 22 25 29 32 34 37 40 45 48 51 52 55 56 56 57 57 57 58 58 56 55 56 59 62 67 69 69 68 67 67 66 64 63 63 61 60 57 54 49 45 41 38 36 35 35 33 30 26 23 21 20 20 19 19 18 15 6 0 0 0 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 8 13 17 18 19 19 18 20 20 19 15 16 15 13 10 8 8 10 14 19 24 28 31 35 38 41 44 49 56 67 85 125 158 307 535 751 855 843 753 669 657 692 727 760 762 766 794 818 846 868 876 889 956 1091 1169 1088 1112 1477 2194 2694 2907 2945 2885 2773 2607 2418 2240 2059 1864 1645 1422 1285 1237 1236 1273 1300 1269 1211 1181 1180 1221 1357 1774 2381 2871 3115 3175 2973 2789 2643 2577 2609 2641 2577 2486 2457 2387 2209 2608 2857 2781 2706 2603 2470 2362 2261 2186 2143 2096 2021 1894 1722 1529 1340 1180 1116 1289 1778 2751 2604 2448 2289 2132 2002 1855
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