Vorticity
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nan 2 2 3 3 3 4 4 4 4 5 6 7 9 10 10 9 7 5 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 5 6 7 7 7 5 4 3 2 2 2 3 3 3 3 3 4 4 4 4 3 3 2 3 4 5 5 4 3 3 4 3 3 3 4 4 4 5 5 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 6 7 7 7 7 6 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 11 14 16 12 5 0 0 0 2 5 7 7 4 1 2 4 5 8 10 10 8 9 8 5 4 5 6 6 6 6 6 6 7 8 8 8 8 8 9 9 8 7 6 8 10 10 9 9 8 6 3 3 4 5 6 6 5 5 5 5 6 5 2 -1 -1 2 4 3 -2 -2 4 5 4 4 2 2 5 6 4 2 1 -3 -8 -8 -4 2 7 12 15 12 8 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 8 9 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 -6 -12 -10 -2 4 3 2 5 8 8 7 6 6 5 5 5 5 4 4 5 5 5 5 6 6 6 5 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 11 17 21 23 23 20 15 11 8 6 3 2 2 3 3 3 3 4 6 7 8 9 9 6 1 -1 -2 -2 -2 -2 -7 -10 -5 3 5 5 5 5 4 4 5 6 7 7 7 6 5 4 4 4 3 4 4 5 7 11 13 12 9 6 4 4 4 4 4 2 1 0 1 1 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 1 0 1 2 3 4 4 3 3 3 3 4 4 5 5 5 nan
nan 3 3 4 4 5 6 6 6 5 5 6 7 9 10 10 9 7 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 5 6 6 6 6 5 4 3 2 2 2 2 3 3 3 4 4 5 4 3 3 3 4 4 5 4 3 3 3 3 3 3 3 4 4 4 5 5 4 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 5 5 5 6 7 7 7 6 4 2 2 2 3 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 9 10 13 16 13 6 3 2 1 2 4 7 7 4 2 3 6 7 6 7 9 10 9 6 4 4 5 5 4 4 4 4 6 7 7 6 5 5 6 8 9 9 8 7 8 9 9 8 9 9 7 4 4 6 8 7 6 6 5 5 4 5 5 2 -2 -1 4 6 4 2 2 6 6 4 3 2 4 6 5 3 1 0 -2 -3 -0 3 7 11 15 16 12 6 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 5 6 6 5 4 5 5 6 6 7 7 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 -2 -10 -13 -7 2 4 -0 1 5 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 2 2 2 3 5 8 13 19 23 21 15 11 10 10 8 6 6 7 7 7 7 6 5 7 9 10 9 6 3 3 3 2 3 5 5 1 1 3 6 7 8 9 8 7 6 6 5 4 4 3 3 4 4 4 4 4 4 5 8 14 19 18 13 6 2 1 2 4 3 2 1 1 1 2 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 5 3 2 1 1 2 4 4 4 3 3 4 4 5 5 5 5 nan
nan 3 4 5 5 6 7 7 6 5 5 5 6 8 9 10 9 7 5 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 5 6 6 6 6 5 4 3 2 2 2 2 3 3 4 4 4 4 4 3 4 4 4 4 3 2 2 3 3 3 3 4 4 3 4 5 5 3 2 3 4 5 5 4 3 2 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 5 4 2 2 2 3 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 12 15 15 10 6 5 5 5 5 6 6 5 3 3 5 7 5 4 6 8 7 5 4 4 3 3 3 3 3 3 5 6 5 4 3 3 4 6 7 8 8 8 8 8 8 9 9 10 8 6 6 8 8 6 4 2 3 4 4 4 3 1 -0 1 4 5 5 5 5 5 5 3 3 3 5 6 5 3 1 -0 0 2 5 7 11 15 18 16 10 5 3 4 4 5 5 5 5 5 5 6 6 5 4 4 4 3 3 3 3 4 5 5 5 4 4 5 6 6 7 7 7 6 5 4 4 4 3 3 3 3 3 3 2 3 3 4 5 5 6 7 6 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 2 -3 -10 -10 -1 5 2 -1 3 7 8 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 2 1 1 1 2 3 6 12 17 18 12 8 8 10 9 8 8 9 10 10 11 9 5 6 8 9 7 5 3 4 5 4 4 7 10 10 7 6 7 7 8 10 12 12 10 8 6 5 4 3 3 3 4 4 5 5 6 8 12 17 21 21 16 8 2 1 2 3 3 2 1 1 1 2 3 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 6 6 7 6 4 2 1 1 3 4 4 4 3 4 4 4 5 5 5 nan
nan 3 4 5 6 7 7 6 5 4 4 5 6 7 9 10 9 7 5 4 4 4 3 2 2 3 3 4 4 4 4 3 3 3 3 3 4 4 5 6 7 7 6 5 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 2 1 2 3 3 3 3 4 3 3 4 5 4 2 2 4 5 5 5 3 2 2 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 5 5 5 4 4 4 5 6 6 4 3 2 2 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 14 16 13 11 10 9 7 5 4 4 4 4 4 5 5 4 3 4 5 6 6 6 4 2 3 3 3 3 3 3 4 5 4 4 3 3 3 4 6 7 7 7 7 8 9 9 9 9 9 8 8 7 5 1 -1 1 5 7 5 2 -0 0 3 4 5 5 5 5 4 4 3 3 4 5 6 4 1 -1 -0 3 5 7 10 15 18 18 14 8 4 3 3 4 4 5 5 5 5 5 6 6 5 4 4 4 3 3 3 3 3 4 5 5 4 4 4 5 6 7 8 7 6 5 4 4 4 4 4 4 4 3 3 2 2 4 6 7 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 1 -5 -11 -6 4 6 3 4 7 8 7 7 6 6 6 5 5 5 5 6 6 7 7 7 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 2 1 -1 -2 -1 0 3 7 12 13 9 5 6 7 7 7 8 9 10 12 13 11 8 8 9 9 8 7 5 5 6 5 5 6 9 10 9 7 6 6 6 7 10 13 13 11 10 7 5 3 3 4 5 6 6 7 8 11 16 19 20 18 12 6 2 1 1 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 4 4 3 3 3 4 5 7 8 9 7 4 2 1 2 3 3 4 3 4 4 5 5 5 5 nan
nan 3 3 4 5 6 5 4 2 3 4 5 6 8 10 11 10 8 4 3 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 2 1 2 3 4 3 2 3 4 3 2 4 5 3 2 3 4 5 5 4 3 3 3 3 4 4 4 4 3 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 4 4 3 4 5 5 5 4 3 3 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 11 13 13 14 15 12 8 4 3 3 5 6 7 7 5 3 3 4 5 6 7 6 4 4 4 3 3 2 3 2 3 4 5 5 3 1 1 2 4 6 6 6 6 6 7 7 7 8 9 9 8 6 5 2 0 2 6 8 8 5 2 1 3 5 6 5 4 3 3 4 4 4 5 6 5 2 -2 -3 1 4 6 9 14 19 20 17 11 6 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 5 6 7 7 6 5 5 5 5 5 5 4 4 4 3 2 2 3 6 7 5 3 4 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 4 4 5 5 5 4 4 3 -0 -6 -9 -4 4 6 7 8 8 8 7 7 6 6 6 5 5 5 6 6 7 7 7 7 6 5 4 4 3 3 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 3 2 2 2 1 -1 -4 -4 -3 1 6 10 9 6 4 5 6 6 6 7 8 9 11 12 12 12 13 14 13 12 10 7 6 6 6 6 6 6 8 8 7 6 4 3 4 6 9 12 12 10 7 5 4 4 4 5 7 8 10 12 15 20 22 20 14 7 3 2 1 1 2 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 6 8 9 8 6 3 1 1 2 3 3 3 4 4 4 5 5 5 nan
nan 3 3 4 4 4 3 2 2 3 4 5 6 8 10 11 11 9 5 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 5 4 4 3 3 3 3 3 4 4 4 5 5 5 4 3 2 2 3 3 3 2 3 4 4 2 2 4 5 3 2 4 5 5 5 4 3 3 3 3 4 4 3 3 3 3 3 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 2 2 2 3 3 4 4 4 3 4 5 5 5 6 5 5 6 6 6 7 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 9 11 12 12 13 12 9 6 4 5 7 9 9 8 6 5 5 5 6 6 6 5 4 4 5 4 4 4 3 2 2 3 3 4 3 1 0 3 5 5 4 3 4 5 6 5 5 5 7 9 8 6 5 4 4 5 5 5 7 8 7 4 3 4 5 5 3 3 4 5 5 5 5 6 4 -0 -4 -2 2 5 8 12 18 21 20 14 8 4 3 3 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 6 7 7 6 6 7 7 7 7 6 5 4 4 3 3 2 4 5 5 3 3 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 5 6 6 6 6 4 4 3 -1 -6 -9 -5 2 7 9 8 8 8 7 7 7 6 6 5 5 5 6 7 8 8 8 7 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 3 2 3 3 2 -2 -4 -3 1 5 9 7 4 4 5 6 6 6 6 7 7 8 8 8 10 14 16 17 15 11 8 6 5 4 5 6 6 7 8 7 6 3 1 2 3 5 7 8 7 5 4 4 4 5 6 8 10 13 16 19 21 22 19 12 6 3 2 2 2 3 3 4 6 7 7 7 6 4 3 4 4 3 3 3 3 3 4 5 6 6 5 5 5 5 5 4 4 4 4 3 3 4 5 7 8 8 6 4 2 2 2 3 3 3 4 4 4 4 5 5 nan
nan 3 3 3 3 3 3 2 2 3 4 4 6 7 9 11 11 9 5 3 3 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 6 6 5 4 3 3 3 2 3 4 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 3 3 2 2 2 3 3 4 4 4 3 4 4 5 5 6 5 5 5 6 7 8 9 9 10 9 9 8 7 7 7 6 7 7 7 7 6 6 6 7 9 12 13 11 8 9 10 10 10 10 11 11 9 7 6 6 5 5 6 7 6 4 3 4 6 7 8 7 6 5 4 4 2 1 0 0 1 3 5 4 1 1 3 6 6 5 4 3 5 6 7 6 5 4 5 5 3 3 5 7 7 5 3 3 3 4 4 4 5 6 6 6 6 6 3 -2 -2 1 4 7 10 16 21 21 16 10 6 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 9 10 11 12 10 6 4 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 5 5 6 7 7 7 6 6 5 3 2 -2 -7 -9 -3 5 8 8 8 8 7 7 7 7 6 5 5 5 5 6 7 8 8 8 7 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 3 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 6 7 7 5 3 2 5 5 2 -0 1 3 6 8 7 4 4 5 6 6 6 6 6 6 7 5 1 1 7 12 13 12 9 5 4 4 4 4 5 6 7 8 8 7 5 1 -1 -1 0 2 4 4 4 3 4 5 6 6 7 10 12 17 21 20 18 16 11 6 5 4 4 4 4 4 5 7 10 12 13 9 4 3 3 4 4 3 3 3 3 4 5 6 6 6 5 5 5 5 4 4 4 4 4 3 4 5 5 6 6 6 5 4 3 3 3 3 3 3 4 4 4 5 5 nan
nan 4 4 4 3 3 3 3 3 3 4 4 5 6 8 9 9 8 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 5 5 6 6 7 7 6 6 5 4 4 3 2 2 2 3 5 5 6 6 5 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 4 4 4 3 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 4 6 7 8 9 10 10 9 9 8 7 7 7 6 6 7 7 6 6 5 5 6 8 12 16 16 11 7 9 11 12 12 11 9 8 7 7 6 5 3 4 7 8 7 5 4 6 8 10 10 10 10 8 6 3 -0 -0 2 1 1 3 1 -1 0 4 8 8 7 5 3 2 4 5 4 4 4 4 4 3 3 4 4 4 3 4 4 3 4 6 5 4 5 6 6 6 5 1 -2 1 4 6 9 14 19 21 17 11 6 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 6 7 9 12 16 19 17 11 4 2 2 3 4 4 4 6 7 6 4 4 4 4 3 3 4 5 5 7 9 9 10 9 8 7 7 7 7 7 7 7 6 4 3 1 -3 -7 -6 2 7 8 8 8 8 7 7 7 7 6 5 5 5 6 6 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 5 5 4 4 3 3 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 4 4 5 5 7 9 12 11 6 2 4 6 4 2 4 5 6 7 7 6 5 6 7 7 6 5 5 6 8 6 -1 -5 -2 4 7 7 6 4 4 4 4 4 5 5 6 7 9 11 10 4 -2 -4 -4 -3 -2 2 5 5 5 5 5 5 5 6 9 14 17 15 13 11 8 7 7 8 8 7 6 5 5 6 9 14 16 10 4 2 3 4 3 3 3 3 3 4 5 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 4 4 5 5 nan
nan 4 4 4 4 3 3 3 3 3 4 4 5 5 6 7 7 7 6 4 4 4 4 4 4 5 5 6 6 5 5 5 4 3 3 3 4 5 5 6 6 7 7 7 6 5 5 4 3 3 2 2 3 4 5 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 5 5 5 5 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 6 7 9 9 10 9 9 8 7 7 6 6 6 7 7 7 6 5 4 4 5 8 12 17 19 14 7 6 6 8 9 7 6 7 7 7 6 4 1 2 5 8 9 8 5 4 6 8 10 13 13 11 8 4 2 3 5 2 -2 -1 -1 -1 1 6 9 9 7 5 3 2 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 6 4 4 4 5 6 4 -0 0 4 7 8 12 17 20 18 12 7 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 6 8 12 18 23 23 16 7 3 2 3 4 4 5 8 11 10 7 6 6 5 4 4 5 5 5 7 9 10 11 12 11 9 8 8 8 7 7 7 6 5 4 3 1 -4 -5 1 6 8 8 8 7 7 7 7 7 6 5 5 5 5 5 6 6 7 7 8 8 7 6 5 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 5 5 5 6 6 6 5 4 3 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 4 5 5 6 8 11 14 13 8 4 4 5 5 4 4 5 5 6 6 6 6 6 6 7 6 4 2 4 10 12 6 -2 -3 1 5 5 5 5 4 4 4 4 5 5 5 6 8 12 15 13 7 2 -0 -3 -4 -1 4 6 6 5 4 3 3 3 5 8 8 8 8 7 7 8 10 11 11 11 10 8 6 5 6 10 10 6 3 2 3 3 2 2 2 2 3 3 4 6 6 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 4 5 5 5 4 4 3 3 3 3 3 4 4 5 5 nan
nan 4 5 5 4 4 3 3 3 3 4 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 3 3 3 5 6 6 7 7 7 7 6 6 5 5 4 3 2 2 3 4 5 6 6 5 4 4 4 4 4 4 4 3 3 5 5 5 4 4 4 4 4 3 3 3 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 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 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 4 5 5 4 5 6 8 9 9 9 9 8 7 7 6 6 6 7 7 7 6 6 4 3 2 4 7 11 15 16 12 7 3 2 2 4 4 5 6 5 4 4 4 2 2 3 4 6 7 5 3 2 5 9 12 13 11 8 5 5 7 8 4 -2 -3 -1 -0 2 5 7 6 4 3 2 2 3 4 4 4 5 6 5 5 4 5 6 7 6 6 6 6 7 7 6 5 4 3 4 4 2 -0 2 5 8 10 15 19 19 14 8 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 6 9 15 20 21 16 10 5 4 3 3 4 6 9 12 13 12 12 12 11 10 9 9 8 7 6 6 7 9 11 11 9 8 9 9 7 7 7 6 6 6 6 4 -0 -2 2 6 7 8 8 7 7 7 8 8 7 6 5 5 4 5 5 5 6 6 7 8 8 7 6 5 5 5 4 4 3 3 2 2 3 4 5 5 5 5 4 5 5 5 6 6 6 6 5 4 3 2 1 1 2 2 2 2 3 4 4 5 4 4 4 4 4 4 5 7 9 13 14 11 7 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 7 5 1 -0 6 13 11 4 2 3 4 5 5 5 5 5 4 4 4 5 5 5 7 10 14 17 16 13 10 5 -0 -1 3 6 6 5 4 4 3 3 3 4 4 4 5 5 7 8 10 11 12 13 12 11 9 7 5 5 3 2 2 2 3 2 2 1 1 2 3 4 5 6 6 7 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 5 5 nan
nan 5 5 5 5 4 3 3 3 3 4 4 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 3 3 3 5 6 7 7 7 7 7 6 6 6 6 5 4 3 2 3 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 2 3 3 4 5 5 4 5 6 8 8 9 9 8 7 7 6 6 6 6 7 7 7 6 5 3 2 2 3 6 10 13 13 10 5 2 1 2 4 4 5 4 2 1 3 6 6 4 2 -0 0 3 4 3 2 3 7 10 11 10 7 5 6 10 10 6 -0 -2 -0 2 3 5 5 4 2 1 1 3 4 5 5 3 3 4 5 5 4 5 7 6 5 5 6 5 6 6 6 6 4 3 3 2 -0 -2 1 4 8 12 17 19 15 9 5 4 3 3 3 3 3 4 4 5 4 4 3 3 2 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 5 7 10 13 14 11 9 7 5 4 4 4 6 8 11 13 15 16 17 18 19 18 17 16 14 11 9 9 9 9 9 10 9 9 9 9 8 9 8 8 8 8 5 2 1 4 6 7 8 8 7 7 8 8 8 8 7 6 5 5 4 4 4 4 5 6 7 8 8 7 6 5 5 5 5 4 2 0 -1 -2 -1 3 5 5 5 5 5 5 5 6 6 6 6 6 6 4 3 2 1 1 1 2 2 2 3 4 4 4 3 2 2 2 2 4 7 11 14 13 7 4 4 4 4 4 5 6 6 6 4 4 5 6 6 7 7 9 9 4 -0 2 7 8 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 9 12 13 13 14 13 7 3 4 5 6 6 6 6 5 4 3 3 3 3 3 3 4 6 7 9 11 13 14 14 14 11 7 3 1 2 2 3 2 1 1 1 2 2 3 4 5 5 6 6 7 6 6 5 5 5 5 5 5 4 4 3 3 3 2 2 3 4 4 4 4 3 3 3 3 4 4 5 5 nan
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nan 10 12 13 14 14 14 13 11 10 9 8 8 8 9 8 7 6 5 5 6 7 9 10 11 11 10 9 10 13 16 18 19 17 15 14 11 8 7 7 8 10 12 14 14 14 14 13 13 13 14 14 15 15 16 16 15 15 14 14 14 15 15 15 16 15 15 15 15 15 16 16 16 15 15 14 14 14 13 13 13 12 11 10 9 8 9 10 11 12 14 15 16 17 17 16 14 12 10 10 10 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 13 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 10 9 9 9 9 10 11 12 12 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 14 15 16 16 15 14 12 11 11 11 11 10 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 13 13 12 12 11 11 11 12 12 12 12 12 11 10 10 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 13 12 12 11 11 11 12 12 12 12 11 12 11 12 12 12 12 13 13 13 12 12 11 10 10 9 9 8 9 11 13 15 17 17 15 14 12 9 7 5 6 7 9 11 12 12 12 12 12 11 11 10 10 10 11 13 13 14 14 13 13 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 13 13 14 14 14 14 14 14 13 12 10 9 8 9 11 12 12 12 12 12 14 15 15 14 12 8 6 5 4 5 7 9 10 10 11 11 10 10 11 11 12 14 16 18 20 22 23 23 23 23 21 19 16 13 10 7 5 4 4 6 8 11 12 13 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 14 15 16 18 18 18 16 15 14 14 15 16 17 17 15 13 12 11 12 15 16 18 19 20 20 20 20 20 20 20 19 19 18 17 17 18 18 17 17 16 15 15 14 14 14 14 14 13 12 10 9 9 10 12 13 14 15 15 15 15 15 16 16 17 17 17 17 18 18 18 18 18 18 17 16 15 14 13 13 12 13 14 14 14 13 13 12 12 12 11 12 12 12 12 11 10 10 10 11 12 13 14 14 14 14 14 15 15 16 16 15 15 16 17 17 18 17 16 15 14 12 11 10 11 13 14 15 15 14 12 11 11 11 12 13 13 14 nan
nan 11 12 14 16 17 17 16 15 12 10 8 7 7 8 7 6 5 5 6 8 11 13 13 13 13 11 10 11 12 15 17 17 15 14 12 10 8 8 7 8 9 11 13 13 14 13 13 13 13 14 14 15 16 16 16 15 14 13 13 14 14 15 15 15 13 12 11 10 11 12 13 14 15 16 16 16 16 16 15 14 13 12 10 9 9 9 11 12 13 15 16 18 18 18 18 16 14 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 12 12 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 8 6 5 5 5 7 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 11 11 11 12 12 12 12 11 11 12 13 13 13 13 12 12 11 10 10 10 11 12 14 16 17 17 16 14 11 7 4 2 2 5 8 12 14 14 13 12 12 12 11 10 9 9 10 11 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 15 13 12 12 11 11 12 12 13 12 11 11 11 12 14 15 15 12 9 7 6 5 7 8 9 10 10 10 10 10 11 12 13 15 17 19 21 22 22 21 19 17 14 12 10 8 7 6 5 6 7 9 11 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 15 17 17 15 13 12 12 12 14 15 14 13 12 11 9 9 10 13 15 17 19 19 19 19 19 19 19 19 19 19 20 21 23 24 23 22 19 18 16 15 14 14 14 14 14 13 13 13 13 15 16 18 19 19 17 17 16 16 16 17 17 18 18 18 19 19 19 18 18 18 17 17 16 15 15 14 13 12 12 12 13 13 13 13 12 12 11 11 11 11 12 12 11 10 9 8 8 9 10 11 12 13 13 13 13 14 15 15 16 15 15 15 16 16 16 16 15 14 13 11 10 10 11 12 13 14 14 13 13 13 12 12 12 12 13 13 nan
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nan 11 10 10 11 12 12 13 12 11 10 9 10 10 10 10 9 7 7 7 8 10 12 13 14 15 15 14 13 13 13 13 13 12 10 9 9 8 8 9 9 10 11 11 12 12 12 13 13 14 15 15 15 15 14 13 12 11 11 12 12 12 13 12 11 11 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 13 13 14 15 16 17 17 17 17 16 15 14 13 12 12 12 12 12 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 11 11 10 9 8 7 6 7 8 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 12 12 12 12 12 12 13 13 13 12 12 11 11 10 11 11 11 10 10 10 9 9 9 9 9 9 8 10 13 17 20 21 19 15 13 11 11 11 10 10 10 10 10 12 13 14 14 14 13 12 12 13 13 13 13 13 13 13 13 14 15 15 15 15 14 14 14 15 16 16 16 16 14 12 10 10 11 13 15 15 14 13 12 11 10 9 9 10 11 12 13 13 12 10 10 9 8 8 8 9 10 11 13 15 17 18 20 20 19 16 12 8 5 3 2 3 5 7 9 11 12 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 13 13 14 15 15 16 17 17 17 16 15 15 15 15 14 13 10 9 9 10 12 15 17 18 19 19 19 19 18 18 18 18 18 18 19 21 23 25 26 25 23 20 17 15 14 14 14 14 13 13 13 14 14 16 17 18 18 18 17 17 16 16 16 16 16 16 16 16 15 15 16 16 16 15 14 14 14 13 13 14 14 14 14 13 13 13 14 14 14 14 13 12 11 11 11 11 12 14 15 15 14 12 10 9 9 10 11 12 12 12 12 13 14 15 16 17 17 16 15 15 14 14 14 13 13 12 11 11 11 12 12 12 13 14 14 14 14 13 12 12 12 12 nan
nan 12 11 10 10 10 11 11 12 11 11 10 11 12 13 12 11 9 8 8 9 10 11 12 14 16 17 17 16 14 13 12 12 11 10 9 8 8 8 8 9 10 11 12 12 12 13 13 13 14 15 15 14 13 12 11 11 10 11 12 12 13 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 12 13 13 13 13 13 14 15 16 17 17 16 16 14 14 13 12 11 11 11 11 11 12 13 13 14 14 14 13 13 12 11 11 11 10 10 11 11 11 12 12 13 13 14 14 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 15 16 17 16 15 13 11 10 9 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 13 13 13 12 12 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 10 11 14 15 17 17 16 14 12 11 11 11 11 11 10 10 11 12 13 14 15 15 15 14 13 13 13 13 13 12 12 12 13 15 16 16 17 17 16 15 15 15 15 16 16 16 15 13 10 9 9 11 13 14 13 13 12 12 11 10 10 10 10 11 12 12 11 10 9 8 8 8 8 8 9 11 12 14 16 18 20 20 19 14 10 5 1 -0 1 3 6 9 12 13 14 14 14 13 13 13 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 13 12 12 13 13 14 15 16 17 18 19 19 19 18 17 17 16 16 15 14 13 13 13 15 16 18 19 20 20 20 19 19 18 18 18 18 18 18 20 21 22 25 25 24 21 19 16 14 14 14 14 13 13 13 13 13 14 15 15 15 16 15 16 16 16 16 16 16 16 15 15 14 14 14 14 15 15 14 14 13 13 13 13 13 14 14 14 14 14 13 14 14 14 14 14 13 12 11 10 11 12 13 15 16 15 14 12 11 11 12 12 13 13 12 12 13 13 15 17 18 18 17 16 14 13 13 13 13 13 13 12 12 12 12 12 12 12 13 14 14 14 13 12 12 12 12 nan
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nan 14 14 14 12 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 15 17 16 14 13 11 10 9 8 8 8 8 9 10 10 10 10 10 11 12 13 14 15 15 15 14 14 13 13 12 12 12 12 12 13 14 14 14 14 14 13 13 13 12 12 11 10 10 9 9 9 9 9 9 10 10 11 12 12 13 13 12 12 13 13 14 16 17 16 16 14 13 11 11 10 9 8 7 8 8 9 9 10 12 13 14 15 16 16 15 14 13 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 12 12 13 13 13 13 14 14 13 13 13 13 13 12 12 12 13 13 13 12 10 8 7 6 7 8 9 11 11 11 11 11 11 12 12 12 13 13 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 12 13 13 13 13 14 14 13 13 11 10 9 9 9 10 11 12 12 13 14 14 14 13 12 12 10 9 9 9 10 12 13 13 13 13 12 13 14 15 16 16 16 15 15 14 14 13 13 12 11 10 11 12 13 15 16 18 18 18 17 16 15 15 15 15 15 14 12 11 10 11 13 15 15 15 15 14 14 14 14 14 14 13 12 11 10 9 8 7 7 7 7 8 8 9 10 11 12 14 14 16 16 15 10 5 1 -1 -1 2 5 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 13 14 15 16 17 17 18 18 19 19 18 18 17 16 16 15 15 14 14 14 15 15 16 18 19 20 21 21 20 19 18 17 17 17 17 18 18 19 19 21 23 24 24 22 20 17 15 14 14 14 14 14 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 15 15 14 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 12 11 12 12 12 12 11 10 10 10 11 12 13 13 12 12 13 15 17 18 20 19 17 15 14 13 13 14 14 14 14 14 13 12 12 12 12 13 13 14 14 14 14 14 13 13 13 nan
nan 12 13 12 10 10 10 11 12 13 12 10 8 7 6 5 5 4 4 5 7 11 13 15 17 16 15 13 11 11 9 8 6 6 6 8 11 12 12 12 11 10 11 11 12 13 14 15 14 14 14 14 13 13 13 13 14 14 14 15 15 15 14 14 14 13 13 13 12 12 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 12 12 13 13 15 17 17 17 16 14 12 11 10 9 9 8 8 8 8 9 9 10 11 12 13 15 16 16 15 15 14 13 12 12 11 12 12 12 12 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 15 15 14 14 13 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 9 7 4 1 -1 -1 1 4 6 9 10 10 11 11 11 12 12 12 13 13 13 12 12 12 12 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 14 14 13 12 11 10 10 10 10 11 12 13 13 14 14 14 13 12 10 8 7 7 7 9 11 11 11 10 10 11 13 14 16 17 17 16 15 14 14 13 12 11 10 8 7 8 9 12 15 18 19 19 19 17 16 15 15 15 15 14 13 13 12 13 13 15 16 16 16 16 15 15 15 14 14 13 12 11 9 8 7 7 7 7 7 8 8 9 10 10 10 11 12 13 15 14 12 8 4 0 -1 1 3 6 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 11 12 12 13 13 13 12 12 12 12 13 13 14 15 16 16 17 17 17 17 17 17 16 16 15 14 13 13 14 14 14 15 15 17 18 19 20 21 21 20 19 18 18 17 17 17 18 18 18 18 19 21 23 23 24 22 20 17 15 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 16 16 17 16 16 15 15 15 15 15 14 14 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 11 11 11 11 12 12 12 12 11 10 11 12 13 13 12 11 12 13 15 17 19 19 18 16 14 13 13 13 14 14 14 14 13 13 13 12 13 13 13 14 14 14 14 14 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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43 38 28 22 24 29 32 31 29 28 30 36 39 37 35 36 38 39 34 30 30 32 34 34 29 28 29 28 25 25 23 23 25 25 19 14 13 13 15 13 12 18 21 20 20 15 11 9 8 9 9 11 12 10 8 8 8 7 6 5 5 5 5 5 5 5 5 5 6 7 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 9 19 38 57 57 62 105 170 234 265 183 59 15 2 1 217 839 1529 1944 2160 2350 2544 2726 2904 2927 2810 2841 3069 3424 3294 2651 2252 2273 2190 2281 2473 2577 2612 2679 2783 2833 2782 2628 2326 1627 529 58 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 14 52 76 72 61 52 45 39 36 27 20 17 17 18 18 17 16 17 19 21 24 34 61 97 108 83 59 48 48 47 42 39 44 48 48 45 39 36 35 33 35 48 66 77 83 76 55 46 49 46 44 47 54 68 74 72 72 71 68 69 70 70 69 65 66 69 67 61 57 59 73 91 98 97 95 92 97 103 97 82 73 63 50 47 45 47 55 53 50 49 46 44 43 43 41 36 32 31 31 32 34 36 37 38 40 40 37 37 39 42 48 54 55 55 54 52 50 49 48 51 59 66 69 72 77 86 103 121 137 139 127 121 108 105 93 70 48 40 39 38 39 38 42 45 43 44 49 51 46 44 49 55 57 52 47 45 43 40 41 45 46 46 48 49 48 46 45 44 44 45 45 46 48 47 42 39 38 38 38 37 34 32 29 31 33 37 39 38 36 35 34 35 33 33 33 32 32 32 31 30 28 27 26 26 25 24 25 26 27 30 32 34 36 35 33 33 34 36 42 45 46 53 63 73 83 94 107 121 133 143 154 166 178 183 188 196 207 215 221 236 253 273 306 373 533 712 837 953 1052 1171 1208 1289 1408 1516 1503 1523 1556 1670 1834 1877 1697 1493 1393 1101 795 514 327 313 284 246 255 321 489 654 758 851 938 1004 1034 1032 1019 1055 1187 1377 1583 1819 2049 2117 1938 1592
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98 97 86 78 69 67 68 67 65 60 53 49 50 55 53 41 29 22 20 22 22 18 26 33 39 37 29 24 23 24 26 29 28 22 19 19 20 19 25 31 31 30 24 22 26 26 24 23 21 19 14 11 11 14 14 12 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 5 5 4 5 5 5 7 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 5 4 3 1 0 0 0 0 0 20 95 261 460 552 560 633 656 660 682 844 1152 1269 1211 1128 1085 1061 997 894 858 753 654 689 512 188 52 78 145 128 37 7 0 0 0 0 0 0 0 1 6 7 3 0 0 1 5 6 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 4 7 6 6 17 27 28 29 31 31 29 28 28 29 28 27 26 25 26 28 34 40 43 44 46 47 47 46 41 38 42 52 62 66 66 65 65 61 56 54 52 48 46 45 45 46 46 44 40 36 32 27 20 17 18 23 26 30 35 40 42 43 43 43 44 43 42 41 38 36 34 32 32 32 32 31 30 31 31 31 33 36 36 34 32 29 28 28 28 28 30 34 35 31 26 27 25 21 17 16 19 21 21 21 20 17 13 8 5 3 2 2 2 2 1 0 0 1 4 7 9 12 15 18 23 26 29 32 34 32 26 21 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 32 67 74 73 70 70 73 77 84 90 92 89 83 82 78 74 69 62 56 53 53 56 63 74 83 88 81 88 97 99 97 94 93 92 88 85 89 88 87 86 83 77 72 71 73 75 74 71 70 69 67 68 69 66 64 60 54 50 52 53 51 51 52 54 57 61 63 65 65 64 64 64 63 63 61 58 56 54 51 48 45 42 38 35 33 30 28 27 27 25 24 23 21 18 17 18 19 20 21 22 22 22 22 22 23 23 23 24 25 27 27 30 30 30 29 28 28 27 27 26 27 29 43 55 65 83 97 113 137 137 135 160 182 225 266 251
107 107 92 84 69 65 61 63 64 60 54 49 50 56 57 45 33 26 20 20 22 22 24 30 35 29 24 23 22 20 20 21 22 20 17 18 22 24 24 26 30 32 30 28 29 29 25 22 23 21 16 12 10 11 14 13 11 10 9 11 11 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 7 6 7 7 7 7 7 7 6 5 5 4 4 4 5 6 6 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 6 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 5 6 6 6 5 4 3 1 0 0 0 0 0 48 147 253 388 515 590 684 774 788 844 1005 1307 1370 1299 1184 1077 1007 944 847 760 667 572 555 380 123 29 28 48 34 5 0 0 0 0 0 0 0 0 1 8 8 3 0 2 7 9 4 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 2 4 5 6 16 27 31 31 32 32 31 29 28 29 30 30 28 26 25 25 28 33 36 39 43 45 47 44 41 38 36 39 48 57 63 65 64 59 55 52 48 43 38 35 35 35 35 33 31 27 23 19 15 16 17 20 21 25 29 34 38 40 41 42 41 39 39 34 33 31 33 33 31 30 29 29 31 33 33 32 33 33 32 30 30 29 29 29 30 30 31 33 32 26 22 23 25 21 18 14 16 17 19 20 19 16 13 9 6 4 3 1 1 1 0 0 0 0 1 3 5 8 13 14 19 23 27 29 28 23 16 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 28 59 71 69 64 63 67 72 79 90 97 98 93 88 84 82 78 70 63 61 58 57 61 68 74 84 78 88 96 98 99 101 103 101 98 95 97 94 91 88 88 84 79 75 73 74 77 79 77 70 64 61 62 68 72 71 65 61 57 50 48 51 50 51 53 56 58 60 62 62 64 64 66 66 64 63 62 62 60 57 54 50 45 41 36 34 32 30 29 27 27 25 23 21 19 19 19 20 20 21 21 20 20 21 21 21 22 23 25 26 26 27 28 27 27 27 28 28 26 25 25 25 29 39 48 53 62 73 78 83 80 103 131 153 205 225
118 109 95 87 73 66 59 59 61 58 53 48 49 54 54 46 35 28 26 23 27 34 34 33 31 21 15 20 21 20 21 21 20 18 15 17 22 27 35 27 32 34 32 31 32 31 26 22 22 20 18 14 11 11 13 14 12 12 10 9 11 11 11 11 12 11 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 5 5 6 5 4 2 1 0 0 0 0 0 0 61 230 448 671 836 901 921 952 942 1067 1372 1719 1662 1551 1374 1163 992 893 813 691 607 441 380 430 109 17 6 10 6 1 0 0 0 0 0 0 0 0 1 7 6 2 0 5 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 18 28 31 32 32 32 30 28 29 30 31 30 29 28 27 25 24 26 30 33 37 39 42 41 40 38 37 38 39 42 49 53 51 48 45 43 40 34 30 27 24 23 23 23 21 19 17 16 17 17 18 19 19 20 23 27 30 34 38 39 36 29 29 28 29 31 33 32 31 29 27 27 29 31 32 33 34 33 31 30 30 30 31 31 32 32 32 31 29 25 24 26 26 23 16 13 14 17 19 19 18 15 13 10 8 7 4 1 0 1 0 0 0 0 0 1 2 4 12 10 14 18 21 22 20 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 24 52 66 65 59 58 63 68 77 88 98 100 99 96 88 83 80 75 72 72 67 60 59 62 61 73 80 89 95 97 100 103 106 106 104 101 103 100 92 89 91 93 89 84 81 81 82 84 80 71 67 66 68 68 70 74 74 71 67 57 62 54 50 47 47 49 50 53 56 58 59 61 63 65 64 65 66 68 69 66 63 59 54 49 43 39 37 34 32 30 29 28 26 24 22 20 19 21 21 21 20 18 18 19 19 19 20 21 23 25 26 27 27 26 26 26 27 27 26 25 24 24 24 29 36 38 42 52 49 48 47 53 85 111 137 173
118 113 99 91 83 73 64 59 59 59 54 49 47 50 51 46 36 31 34 31 29 39 47 44 33 19 11 16 17 21 24 23 20 16 14 14 17 22 26 29 28 35 32 32 31 28 26 23 21 19 17 17 15 12 12 14 13 12 12 10 8 9 10 11 11 12 10 9 9 9 9 9 9 9 10 9 8 6 7 7 7 7 7 7 6 7 7 7 7 7 6 5 5 5 5 5 4 5 6 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 4 2 1 0 0 0 0 0 0 0 69 328 703 1017 1209 1234 1157 1057 977 1082 1401 1768 1864 1878 1682 1453 1230 1023 888 864 744 579 543 356 84 12 1 0 2 1 0 0 0 0 0 0 0 0 0 3 1 0 1 2 4 4 1 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 1 2 4 15 27 32 32 33 33 34 32 28 28 32 34 38 35 34 33 29 26 24 24 27 29 30 32 34 36 37 39 41 41 40 38 39 39 37 34 29 29 26 24 22 20 18 18 19 18 18 18 18 19 20 21 21 21 20 21 22 26 32 35 35 33 29 29 30 32 32 32 31 30 28 26 26 27 29 31 32 32 33 32 31 31 31 31 31 31 30 30 29 28 26 25 26 25 22 16 12 14 17 20 20 18 15 13 12 10 8 5 3 1 0 0 0 0 0 0 0 0 2 6 6 9 12 14 14 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 50 65 61 56 55 59 63 72 78 78 81 85 87 86 83 78 74 74 77 74 72 64 64 61 62 69 82 92 94 100 102 105 108 104 95 98 99 93 90 91 92 93 91 91 88 86 84 79 72 69 71 75 74 71 72 73 68 76 72 67 61 56 51 46 44 45 49 52 53 51 53 55 58 60 63 66 68 70 70 69 67 62 57 52 47 43 39 36 35 33 32 30 29 26 24 22 21 21 21 20 18 17 17 17 17 18 20 22 24 25 27 28 27 24 24 25 25 25 24 24 24 24 24 27 31 33 41 44 43 37 34 49 75 99 134
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113 97 89 97 100 93 81 67 60 59 56 55 49 46 50 46 40 40 43 40 33 29 31 37 45 37 25 20 21 25 29 30 28 24 22 19 21 26 30 28 28 34 33 28 29 27 25 23 21 18 17 17 16 14 11 10 12 13 12 11 8 6 7 9 11 10 9 9 9 9 9 9 9 9 9 10 10 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 4 5 5 5 5 5 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 18 124 413 805 1096 1248 1264 1199 1116 1062 977 881 915 1015 1107 1111 1323 1600 1362 1006 407 77 68 67 61 37 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 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 11 28 29 30 36 37 35 34 33 32 29 30 35 37 37 37 37 36 33 31 29 28 26 25 25 23 24 30 36 39 41 43 43 43 42 39 36 33 29 27 25 25 24 24 24 24 24 25 25 24 23 23 23 22 21 21 22 23 25 26 27 28 30 29 29 30 30 29 27 23 22 21 21 22 23 24 26 26 28 29 30 29 28 28 26 24 21 19 18 17 16 16 18 18 17 16 14 13 14 17 19 19 18 16 15 13 12 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 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 1 17 49 65 67 71 70 63 59 56 55 55 56 56 56 59 66 67 69 65 67 70 75 78 81 80 75 69 67 82 88 90 92 95 100 103 104 105 108 106 101 98 94 95 93 92 92 91 89 84 80 80 80 80 81 78 77 80 80 79 78 78 79 79 77 75 72 70 69 69 66 63 59 54 49 47 47 50 55 57 60 62 64 64 64 64 61 56 52 48 45 43 46 43 41 38 35 33 32 27 23 20 19 17 15 14 15 16 18 21 23 24 24 24 25 24 24 24 24 24 24 24 24 23 24 25 27 29 30 31 30 30 36 33 33 33 54
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118 108 102 100 104 104 95 81 69 63 59 51 47 49 51 50 48 46 49 48 41 31 22 19 23 31 37 31 25 19 19 24 27 25 22 21 26 37 42 39 36 35 35 31 27 26 24 23 24 20 16 16 16 17 16 13 11 13 14 11 9 7 6 8 10 11 12 11 11 10 9 9 9 9 9 9 8 7 6 7 7 7 6 7 7 7 7 7 7 6 5 5 5 5 5 4 5 5 5 6 6 5 5 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 7 45 166 458 840 1015 1074 1108 1049 824 731 849 873 722 647 780 964 946 585 679 248 49 5 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 0 0 0 23 29 27 30 35 39 38 36 34 33 34 35 34 34 35 37 38 38 35 33 31 30 29 30 28 26 25 27 28 29 31 34 37 38 39 38 36 32 30 29 28 29 29 29 29 29 29 28 26 26 25 25 25 25 26 27 28 30 32 33 33 31 30 28 26 25 21 19 19 20 19 19 18 17 17 17 17 17 17 18 18 17 16 16 16 16 17 17 17 16 17 17 18 18 17 16 15 14 15 16 18 18 17 16 16 14 12 11 9 6 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 2 3 1 0 0 3 16 45 68 77 86 80 70 63 57 54 51 49 44 34 16 21 34 43 47 53 58 59 61 66 68 70 80 83 83 84 85 84 85 89 93 96 96 100 99 97 96 97 97 97 94 92 91 89 82 74 77 80 78 81 82 84 87 88 87 84 82 82 82 83 76 71 70 70 68 68 72 72 71 66 61 55 52 48 45 45 46 48 51 56 58 59 58 58 57 56 55 54 53 50 49 47 47 46 45 41 35 29 24 22 19 18 18 20 23 25 25 24 24 23 24 23 24 24 25 25 24 25 25 25 26 28 31 31 28 28 33 47 53 48 44 46
123 114 105 95 93 93 86 78 76 67 58 53 52 56 52 51 53 53 56 54 47 34 24 20 22 27 34 35 28 19 13 18 20 21 19 16 14 19 32 34 32 31 31 31 28 25 24 24 23 20 18 15 16 16 16 15 13 13 14 13 12 10 8 8 10 11 12 12 12 11 9 9 9 9 9 9 8 7 7 7 7 6 7 7 7 7 7 7 6 6 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 9 84 257 437 656 841 913 1036 1160 1148 867 696 1050 1368 1197 982 1006 890 512 235 243 44 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 3 22 30 28 28 31 35 37 37 35 33 36 37 32 32 35 35 34 34 32 31 30 30 31 30 31 29 27 26 27 27 30 33 36 37 37 37 36 34 32 30 29 29 30 30 30 30 30 29 28 28 26 26 27 28 30 31 32 33 34 34 33 31 28 25 20 18 18 19 20 20 20 20 20 19 18 17 17 18 17 16 16 15 15 15 15 16 17 17 16 17 18 19 20 20 19 17 16 15 15 15 16 17 16 16 16 14 13 11 9 7 4 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 7 8 2 0 0 1 11 51 68 85 87 82 74 65 58 55 55 55 56 51 40 39 44 49 50 52 55 57 59 61 61 64 77 80 81 83 83 80 80 82 87 91 93 93 96 99 100 101 102 102 102 100 98 94 88 80 81 86 89 89 90 93 95 95 93 89 87 85 83 83 80 77 72 68 67 64 66 69 73 72 70 65 60 54 48 46 45 46 48 49 52 56 56 56 56 56 56 57 55 50 50 48 46 46 49 50 48 41 31 27 23 21 21 22 24 25 25 25 24 23 22 21 22 22 22 24 24 24 24 24 24 27 31 30 27 25 28 37 45 46 39 48
120 117 107 90 80 82 82 77 77 75 66 59 61 64 54 59 61 63 65 62 52 38 24 19 20 24 30 35 31 20 12 17 19 20 23 20 20 23 25 26 26 27 25 26 26 24 24 24 22 21 21 16 16 16 16 15 13 12 13 14 13 12 10 10 11 11 11 11 11 11 10 9 9 9 10 9 8 8 8 8 7 7 6 7 7 7 7 6 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 4 5 5 5 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 3 66 295 503 586 612 707 982 1311 1464 1471 1221 915 952 1208 1167 1339 1368 859 301 102 67 15 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 9 24 29 27 25 27 30 34 35 34 33 36 39 32 33 34 35 34 32 31 32 32 31 29 28 29 28 27 27 26 26 29 33 36 37 36 35 34 33 32 30 30 31 31 32 32 32 32 31 31 31 29 29 30 32 34 35 35 35 34 33 32 29 23 19 18 19 20 20 20 20 20 20 18 16 14 14 14 15 15 16 17 16 15 15 15 16 17 17 17 18 18 17 18 18 18 16 16 15 15 13 13 14 15 15 15 14 13 11 9 7 4 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 2 4 1 0 0 0 9 49 74 90 92 85 76 67 59 56 56 58 59 59 58 58 57 57 57 57 57 56 58 62 65 68 72 74 77 80 80 78 77 78 83 89 93 95 99 101 102 103 104 103 103 105 102 98 94 92 92 93 93 94 98 104 105 103 102 99 96 93 89 87 84 82 80 76 72 68 66 64 66 70 70 69 67 63 55 51 47 49 48 46 48 52 54 54 54 54 54 55 54 52 51 50 46 45 47 51 56 55 43 36 30 26 24 24 25 25 25 25 26 22 20 20 20 21 21 23 24 23 24 23 22 24 30 30 27 25 25 29 35 41 37 35
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