Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 8 7 7 6 5 5 5 5 6 7 9 11 12 12 10 8 6 4 3 4 3 3 4 6 8 8 5 3 2 4 6 7 9 12 17 24 23 18 14 13 14 14 13 10 6 1 -1 4 8 10 9 6 4 5 5 5 7 9 9 8 8 8 8 8 6 6 7 10 9 7 5 6 8 10 8 6 7 10 11 10 8 7 7 7 8 8 8 7 6 3 0 -1 1 4 8 11 13 16 17 17 15 12 10 11 13 17 18 17 13 9 7 9 13 16 15 11 8 6 7 10 13 11 6 3 6 12 14 11 7 2 -2 -3 -1 2 5 8 11 11 9 8 9 11 12 10 8 8 8 8 7 6 5 5 5 6 6 7 7 7 6 4 5 8 12 16 19 19 17 15 13 12 11 11 10 9 9 8 8 7 7 8 8 9 10 10 11 10 10 10 nan
nan 7 6 5 4 3 3 3 4 6 7 8 10 11 12 12 10 8 7 6 5 6 6 7 9 10 10 8 5 2 2 4 7 9 11 15 19 22 22 17 14 13 13 14 12 9 4 -0 -1 4 8 10 9 6 4 4 5 5 6 8 10 10 10 8 7 6 4 5 8 11 11 8 5 5 7 8 6 4 6 9 10 10 8 7 8 8 9 9 9 8 7 6 3 1 1 3 6 10 13 15 15 12 10 8 6 6 10 15 18 17 12 7 5 7 12 15 13 9 5 3 2 4 6 5 5 8 13 17 18 15 10 5 0 -2 -1 1 2 3 5 5 4 4 5 7 8 7 7 7 7 6 4 3 4 6 8 10 10 9 10 10 9 7 8 10 13 15 15 14 12 9 8 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 10 10 9 nan
nan 7 6 4 3 1 1 3 5 8 10 11 11 12 13 13 13 11 9 7 7 7 8 9 12 12 10 7 4 2 4 6 8 10 12 14 17 20 20 17 15 14 13 13 11 8 4 1 -0 3 8 9 8 7 5 5 5 5 6 9 12 12 11 9 7 5 4 5 8 10 11 9 6 5 6 6 5 4 7 9 11 10 9 8 8 9 10 10 9 8 8 8 6 4 2 2 5 8 10 12 12 10 7 4 -1 -4 1 8 13 14 10 7 5 8 12 14 12 7 4 1 0 0 2 3 6 11 15 16 16 14 12 8 5 3 3 4 5 5 4 3 1 2 3 5 5 5 5 6 7 5 4 4 6 10 13 14 14 14 14 13 12 11 10 11 12 11 10 8 6 5 4 4 4 5 6 7 8 9 9 9 9 9 10 10 11 11 11 10 10 9 nan
nan 8 6 4 2 1 1 3 7 10 12 12 12 13 14 15 14 13 11 9 7 7 8 11 13 13 10 6 3 3 5 8 10 11 12 14 15 17 18 18 17 15 14 12 11 8 5 2 2 4 7 9 9 7 6 6 5 6 8 11 12 12 10 9 7 5 4 5 8 9 9 8 6 5 5 5 5 5 7 10 12 12 10 8 8 10 11 11 10 8 8 8 8 6 4 3 5 7 8 9 9 8 6 2 -4 -8 -6 1 6 9 9 7 6 9 11 12 11 7 4 4 3 2 2 2 5 8 10 12 12 12 11 10 9 7 5 7 9 9 8 6 5 6 7 7 6 4 4 5 5 5 5 6 11 15 17 17 17 16 15 13 12 11 10 10 9 7 6 4 4 3 3 3 4 5 6 7 8 9 9 9 9 9 10 10 10 11 11 10 10 9 nan
nan 8 6 4 2 1 2 5 9 12 13 12 12 13 15 15 14 13 11 9 7 7 10 13 14 13 10 6 3 4 7 9 11 12 12 13 14 15 17 19 19 17 14 11 9 7 4 3 5 7 8 9 9 8 8 7 6 8 11 12 11 9 9 9 8 6 5 6 7 8 7 6 5 4 5 5 4 4 6 10 14 14 12 9 9 11 12 12 11 9 7 8 8 7 5 4 5 6 6 5 6 7 7 5 0 -4 -6 -3 2 6 9 9 8 9 10 10 9 7 6 6 6 5 3 1 2 4 7 9 10 10 9 10 10 8 6 6 9 11 11 11 10 11 11 9 7 5 4 4 5 5 5 7 13 17 18 18 17 15 13 11 10 9 9 8 6 5 4 3 3 4 4 4 5 6 6 7 8 8 8 8 8 9 9 9 10 10 11 10 10 9 nan
nan 9 6 3 1 0 3 6 10 13 14 12 12 13 14 14 13 11 9 7 7 9 13 16 16 14 10 6 5 5 7 9 10 11 12 13 14 16 18 21 21 19 14 10 7 4 2 3 8 10 10 9 8 9 9 7 7 9 12 12 11 9 9 10 10 7 6 6 7 7 6 5 4 5 5 6 5 4 5 9 13 14 13 10 9 11 13 14 13 11 8 7 7 7 6 6 6 6 5 4 4 6 7 7 5 1 -2 -2 2 7 10 11 9 8 9 9 8 7 7 8 8 6 4 1 1 3 5 8 9 9 8 7 8 7 5 4 6 9 10 11 10 10 10 9 7 6 5 5 5 5 5 6 10 13 14 15 15 13 10 7 6 6 7 6 5 4 3 3 3 4 5 5 6 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 9 nan
nan 10 6 3 1 1 4 8 11 13 13 13 12 12 13 13 12 9 7 5 7 11 15 17 16 13 10 7 6 5 6 7 8 10 11 12 13 14 17 20 21 19 15 9 4 1 -0 3 8 11 10 9 8 8 8 8 9 10 11 12 11 10 11 11 10 8 6 6 7 7 6 5 5 5 6 7 6 6 6 8 11 12 11 10 9 10 12 14 14 13 11 8 6 6 6 7 8 8 7 6 5 6 8 8 7 5 3 3 5 10 12 12 9 9 9 8 7 6 7 9 10 8 5 3 1 2 4 6 8 8 7 6 6 5 4 2 3 5 7 8 9 9 9 9 9 8 7 6 6 6 5 5 6 7 9 11 11 9 5 1 1 3 4 5 4 4 3 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 9 6 3 2 3 5 8 11 12 13 13 13 12 13 12 11 9 6 6 9 12 14 14 13 11 9 8 6 5 5 5 6 8 9 10 11 12 14 17 19 18 15 9 3 -1 1 5 10 12 11 9 8 8 8 9 11 11 11 11 11 11 11 11 10 8 7 6 6 6 6 5 5 6 7 8 8 7 7 8 10 11 11 9 9 10 11 13 15 15 13 10 6 6 7 8 9 9 9 8 6 6 7 7 7 7 6 6 7 10 12 11 10 10 11 10 7 6 5 7 10 10 7 5 3 3 3 5 7 8 7 6 6 5 4 1 0 1 4 7 10 11 11 10 9 8 7 7 7 6 5 4 5 6 7 7 6 4 1 -1 -0 2 3 4 4 4 4 5 5 6 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 8 6 5 3 4 5 7 9 11 13 14 14 13 12 12 11 9 8 9 12 13 12 10 8 6 6 5 5 5 4 4 4 6 8 11 12 12 13 15 16 16 15 11 5 1 3 9 13 15 13 11 8 7 7 10 12 12 11 11 11 11 11 10 10 8 7 7 6 6 6 6 6 6 7 8 9 8 7 8 10 12 13 11 10 10 10 12 14 16 15 12 7 6 7 8 8 9 10 9 7 6 6 7 6 6 5 4 4 6 7 8 10 12 14 13 11 7 5 5 8 10 9 7 5 4 4 5 7 9 8 6 6 5 3 1 -1 -1 3 8 14 17 16 13 9 7 6 6 7 6 5 5 6 7 6 5 4 3 2 0 1 3 4 4 5 5 6 7 8 8 9 9 9 9 8 7 7 6 6 5 6 6 7 7 8 8 8 8 8 8 nan
nan 8 6 4 3 3 4 6 9 12 14 15 16 15 13 11 10 8 8 10 13 13 12 9 7 4 4 4 4 4 5 5 5 6 8 11 13 14 14 14 14 15 15 14 11 7 7 11 15 17 16 13 9 7 7 9 12 12 12 12 12 12 11 10 9 8 8 7 7 6 5 5 6 6 7 8 9 9 8 8 11 16 19 17 12 10 10 12 14 17 16 13 9 6 6 7 8 9 10 10 9 8 8 8 7 6 4 3 3 3 4 6 9 13 16 17 15 11 7 5 6 9 10 9 8 6 5 5 6 7 8 7 6 5 3 1 -1 -0 2 8 15 20 20 16 10 7 5 5 5 4 4 5 6 6 5 4 6 7 6 5 5 5 5 6 7 7 8 9 9 9 9 9 8 7 6 5 5 4 5 5 6 7 8 9 9 9 9 9 9 10 nan
nan 8 6 3 2 2 4 6 9 12 16 18 19 18 15 11 8 7 6 8 12 13 12 11 9 7 6 5 4 4 6 7 7 8 9 11 13 14 14 14 14 15 16 17 16 13 11 12 15 18 18 16 12 9 8 9 10 12 13 13 14 13 12 9 8 7 8 8 8 6 5 5 6 6 6 7 9 10 9 8 12 18 23 22 15 11 10 11 14 17 18 14 10 7 7 8 9 10 11 12 13 13 12 11 9 6 4 4 4 5 5 6 9 13 17 19 19 15 10 7 6 8 10 10 10 8 7 6 6 6 6 6 6 5 3 2 0 0 1 5 11 16 19 18 13 10 8 6 4 3 4 4 4 4 5 5 10 12 12 11 9 8 7 8 8 9 9 9 9 8 8 7 5 4 3 3 4 4 5 6 8 9 10 10 10 10 9 9 9 10 nan
nan 8 6 3 2 3 5 8 10 13 17 21 22 21 17 12 8 6 6 8 10 12 12 12 11 10 8 6 4 4 6 8 9 10 11 11 11 12 13 13 14 15 17 18 18 16 13 13 15 17 18 17 15 11 9 9 10 12 14 15 15 14 12 9 7 6 7 8 9 8 7 7 7 6 5 7 9 11 11 11 13 18 23 23 17 12 10 12 14 16 17 14 10 8 7 7 8 10 11 13 16 17 16 14 11 7 5 4 6 7 7 6 8 11 15 18 19 17 12 9 7 8 10 11 10 9 7 7 7 7 6 6 6 6 5 3 2 0 0 1 4 7 11 13 13 12 10 8 6 4 4 3 3 3 4 8 14 17 17 16 14 12 10 9 9 9 8 8 7 6 5 4 3 2 2 3 5 6 7 9 10 10 11 11 10 9 8 8 8 9 nan
nan 9 8 7 6 7 8 9 11 13 17 21 23 21 17 11 7 6 6 7 9 11 11 11 10 9 6 4 3 4 6 7 9 10 10 10 9 10 12 13 14 15 16 17 16 15 14 14 16 18 18 17 15 13 11 11 12 13 15 16 16 14 12 9 7 6 6 7 9 9 8 8 8 8 7 8 9 11 13 13 14 17 21 20 17 13 11 12 13 14 14 12 9 7 6 6 6 6 8 11 15 17 16 13 10 8 5 4 5 6 8 8 8 10 12 14 15 15 13 10 9 9 10 11 12 10 9 8 7 7 7 7 6 6 7 6 3 1 -1 -3 -3 -1 2 6 8 9 9 8 7 5 4 3 2 3 5 10 16 20 21 21 18 14 10 8 7 6 5 4 3 3 2 1 1 2 3 5 7 8 10 11 12 12 12 11 9 8 7 7 7 7 nan
nan 10 10 10 10 10 10 9 10 13 15 19 21 18 13 9 6 5 6 6 8 9 10 9 7 5 3 2 3 5 6 7 8 9 9 9 9 10 11 12 13 14 14 14 13 13 14 16 18 18 17 16 14 13 14 15 16 16 17 17 17 15 12 9 7 5 6 7 8 9 9 8 9 9 9 10 10 12 13 14 14 16 18 18 16 13 12 12 12 12 11 10 9 7 6 5 4 3 4 7 11 13 14 12 10 8 7 6 6 7 9 11 11 10 9 9 9 10 10 10 10 10 11 13 14 13 12 11 9 8 8 7 7 7 8 8 5 2 -1 -4 -5 -3 -0 3 6 7 7 8 7 6 4 3 2 3 6 11 14 17 19 18 15 10 6 4 3 2 1 1 0 0 1 2 3 4 6 8 10 11 12 13 13 13 11 9 8 7 7 7 6 6 nan
nan 10 11 11 11 11 10 9 9 11 14 17 18 16 12 8 6 5 5 6 7 9 9 8 6 3 2 2 4 5 6 6 6 7 8 8 8 8 9 9 10 11 11 11 11 11 13 16 18 19 17 15 12 12 14 18 21 21 20 18 17 15 13 10 7 5 5 7 8 9 8 9 10 11 12 11 10 11 11 11 12 14 16 16 14 13 12 12 12 11 9 9 8 8 8 8 6 3 2 4 8 10 11 11 9 9 8 8 9 10 12 13 13 11 8 6 6 6 8 9 9 10 11 13 15 15 15 14 13 11 9 8 7 7 7 7 6 4 1 -1 -2 -1 1 4 7 9 9 9 8 6 4 3 2 3 5 8 8 9 8 6 3 0 -1 -2 -2 -2 -2 -1 0 2 3 5 7 9 11 12 13 13 13 13 12 10 8 7 7 7 7 7 6 6 nan
nan 9 9 9 10 10 10 9 8 9 13 15 17 16 14 11 8 7 6 7 7 8 8 7 6 4 4 5 7 7 6 5 4 5 5 5 5 5 6 7 7 8 8 9 9 10 13 16 18 19 18 15 12 11 14 19 23 24 22 19 17 15 13 11 8 6 6 8 9 10 9 9 11 13 14 13 11 9 8 8 9 12 14 14 13 12 12 12 12 10 8 7 8 11 13 13 11 7 4 4 7 9 10 10 8 8 8 9 10 12 13 14 14 12 9 8 8 9 10 10 10 9 8 10 12 14 15 15 15 14 13 11 9 7 6 5 6 5 5 3 2 3 4 5 8 11 12 11 9 7 4 2 2 2 3 2 0 -3 -5 -8 -10 -10 -9 -7 -5 -3 -1 1 3 5 7 9 11 13 14 14 13 13 12 11 9 7 6 5 5 6 6 6 6 7 nan
nan 6 7 7 8 9 9 9 8 9 12 15 16 17 16 14 12 10 9 9 8 8 8 7 6 5 5 6 7 8 7 6 5 4 4 3 2 2 3 5 6 7 7 8 8 9 12 15 18 20 19 17 14 12 14 17 21 23 21 19 17 16 14 11 8 6 6 9 12 13 11 9 10 14 16 14 12 8 7 6 8 10 13 13 13 12 12 12 12 10 8 7 9 13 17 19 17 12 6 4 7 10 11 9 7 6 7 8 9 10 11 12 13 13 12 13 15 17 18 17 15 11 9 8 9 11 12 13 14 14 15 14 12 10 7 6 6 6 6 6 6 6 6 6 8 11 14 15 13 9 4 1 1 0 -1 -3 -7 -11 -13 -14 -14 -13 -9 -6 -2 1 3 5 7 9 10 11 12 13 13 12 12 11 10 8 6 5 4 4 5 5 6 7 8 10 nan
nan 3 4 5 7 8 9 9 9 9 10 13 14 14 13 14 14 14 13 12 11 9 8 7 7 6 5 5 5 6 8 8 9 8 6 4 2 1 3 5 7 9 9 9 8 9 12 16 19 20 19 17 14 13 14 16 18 19 19 18 17 17 15 11 7 5 6 9 15 17 14 10 9 13 15 15 12 8 6 6 7 10 12 13 12 12 12 12 12 11 9 9 11 15 20 23 21 15 9 5 7 10 11 9 5 3 3 4 6 6 8 10 13 15 16 17 19 21 23 23 22 18 14 11 10 10 11 11 12 13 13 14 14 13 11 9 7 6 6 6 6 7 6 6 7 10 13 15 15 10 5 1 -1 -2 -3 -5 -8 -11 -12 -11 -9 -5 -2 1 4 6 7 8 9 10 10 11 11 11 10 10 10 9 8 6 5 4 4 5 6 7 8 10 11 12 nan
nan 2 1 3 5 7 8 9 9 10 10 11 10 10 10 12 15 16 17 15 12 10 8 7 7 7 7 6 5 5 7 9 11 12 11 8 5 4 4 6 9 11 11 10 9 9 12 16 19 19 17 14 12 13 14 15 15 15 16 16 17 18 16 12 7 4 5 8 15 20 18 13 9 10 11 12 10 7 5 5 7 9 11 12 12 12 13 14 14 12 10 11 13 16 20 23 21 16 11 8 8 9 9 7 4 0 -1 -1 -0 1 3 7 12 15 16 17 17 18 19 21 22 21 17 13 11 10 10 10 11 12 12 12 14 15 14 12 10 7 5 5 5 5 6 6 7 9 10 11 12 8 5 2 -1 -3 -4 -4 -5 -5 -5 -3 -0 2 4 6 7 8 8 9 9 9 9 9 9 8 9 9 8 8 7 6 5 5 6 7 8 10 12 13 14 14 nan
nan 4 3 3 5 6 7 8 10 11 11 10 9 8 9 11 14 16 17 15 12 10 8 7 7 8 8 7 5 5 6 9 12 14 15 13 9 7 6 8 10 12 12 11 9 10 13 15 16 16 13 11 10 12 13 14 13 13 13 15 17 17 16 12 8 5 4 7 13 20 22 17 12 9 8 8 8 6 4 4 6 9 11 12 12 13 14 15 15 15 13 13 14 16 17 18 16 12 10 9 9 8 7 5 2 -0 -2 -3 -4 -3 -2 3 7 10 11 11 11 10 10 12 14 15 14 11 9 9 9 10 10 10 11 11 12 13 13 12 11 8 6 5 5 5 6 7 8 9 8 7 6 6 5 4 2 -1 -2 -2 -1 0 2 3 4 5 6 7 7 8 8 8 8 8 8 8 7 7 8 9 9 8 8 7 7 8 9 10 11 13 14 15 15 15 nan
nan 8 7 7 7 7 7 8 9 11 11 10 10 9 9 10 12 14 14 13 11 9 8 7 7 8 9 8 6 5 6 8 11 14 16 14 10 8 7 9 11 12 12 10 9 10 12 13 14 13 11 9 9 10 12 12 12 11 12 13 15 16 14 12 9 7 6 8 12 19 22 19 14 10 7 7 7 5 5 5 7 9 10 12 12 13 14 14 15 16 15 14 13 11 11 10 9 8 8 8 9 9 8 5 2 0 -1 -2 -2 -2 -2 -1 0 2 3 4 5 5 4 5 6 8 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 9 8 6 5 5 6 7 7 7 6 5 3 5 6 6 6 4 2 2 2 3 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 10 10 11 10 10 10 11 12 13 14 15 15 15 15 15 nan
nan 12 12 12 10 9 7 7 8 9 10 10 10 10 9 10 11 11 11 10 10 9 8 8 8 9 10 9 7 6 6 7 9 12 13 13 10 8 8 8 10 11 11 9 8 9 11 12 12 11 10 9 8 9 10 10 10 10 10 12 13 14 13 11 9 8 8 9 13 18 21 19 15 11 9 8 7 7 6 6 7 8 9 11 12 12 13 12 13 14 14 12 9 6 5 5 5 6 7 9 10 10 9 7 4 1 -0 -1 -1 -0 0 -0 -1 -0 1 2 3 4 4 3 4 4 5 5 5 6 7 7 8 9 9 9 9 9 9 10 10 10 8 6 4 5 5 5 5 5 4 4 4 5 6 7 8 8 7 5 4 4 5 5 5 5 5 5 6 7 7 6 7 7 7 6 6 7 9 12 13 14 14 14 14 14 15 15 15 15 15 14 14 14 nan
nan 14 14 15 14 11 8 6 6 7 8 9 9 9 10 10 10 10 9 9 9 9 8 8 8 10 11 10 7 6 6 6 8 10 11 10 9 8 8 8 9 10 10 9 8 9 10 11 11 10 9 8 8 8 9 10 9 9 9 10 11 12 11 10 9 8 8 9 12 16 17 17 14 12 10 9 9 8 6 6 6 7 8 9 10 11 11 11 10 11 10 8 6 5 5 5 6 6 7 8 9 10 9 8 7 5 3 1 0 1 2 3 4 4 4 4 5 6 6 6 5 4 4 4 5 5 6 6 7 7 8 8 9 9 9 10 9 8 6 4 3 4 4 4 4 3 3 3 4 6 7 7 8 7 6 5 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 9 12 15 16 16 16 16 16 16 15 15 14 13 12 12 13 14 nan
nan 13 12 13 13 12 9 6 5 6 7 7 8 9 10 10 10 10 9 10 10 9 8 7 8 10 11 11 8 6 6 6 8 9 10 10 10 10 10 9 9 9 9 9 8 9 10 10 10 9 8 8 9 10 10 10 9 8 7 8 10 11 10 9 8 8 8 9 12 14 15 15 14 12 10 10 9 7 5 4 5 5 6 8 10 10 10 9 8 8 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 8 7 5 4 3 4 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 7 6 4 4 5 5 5 3 2 0 -0 1 2 3 4 5 4 3 2 2 3 3 4 4 5 6 6 6 6 6 7 8 9 10 10 11 13 15 17 19 19 18 17 16 15 14 12 11 10 11 12 13 14 nan
nan 10 9 8 10 11 10 8 8 7 8 7 9 10 11 12 11 10 10 10 10 9 7 6 7 10 11 10 8 6 6 6 8 10 11 12 13 13 12 11 9 8 7 7 8 9 10 11 10 9 8 9 10 11 11 10 9 7 7 7 9 9 9 9 8 7 8 10 12 13 14 14 14 12 10 8 7 5 4 3 4 5 6 7 9 10 10 9 7 6 6 6 6 7 6 5 5 5 6 6 6 6 7 8 9 10 9 9 9 9 8 7 5 4 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 7 6 5 6 6 7 7 5 3 0 -2 -2 -2 -2 -1 1 2 2 2 2 3 3 4 5 6 7 7 7 7 7 8 10 11 12 13 13 14 16 17 19 19 19 17 16 15 13 11 9 9 10 12 14 15 15 nan
nan 10 9 8 8 10 10 11 11 10 10 10 12 13 14 14 12 10 10 10 11 9 7 7 7 10 11 10 8 6 6 7 9 11 12 14 15 15 14 12 10 8 7 7 8 9 10 11 12 12 12 12 12 12 12 11 10 8 7 7 8 9 10 10 9 8 8 9 11 13 13 13 13 12 10 7 5 4 3 3 3 5 6 7 7 8 8 7 7 7 7 7 8 7 5 4 5 5 6 7 6 6 6 7 8 9 10 10 11 11 11 9 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 8 7 6 6 6 7 8 7 6 4 2 1 1 1 1 2 2 3 3 4 4 5 5 6 6 7 8 9 9 9 10 12 13 15 16 16 15 15 16 17 18 18 17 15 14 12 10 8 8 10 12 15 16 16 15 nan
nan 11 11 10 10 10 12 12 12 12 13 14 16 17 17 15 13 10 9 10 10 9 8 7 8 10 12 11 9 7 7 8 10 12 12 13 13 13 13 11 10 8 8 8 8 8 9 11 13 16 17 16 14 13 12 12 11 10 9 9 10 12 12 12 10 9 8 9 11 13 13 12 11 10 10 8 5 3 3 3 4 5 6 6 6 6 5 5 6 7 8 9 8 7 4 3 5 6 7 8 7 6 6 7 8 9 9 10 10 10 10 9 8 9 10 11 11 11 11 11 11 11 10 9 9 10 11 12 13 14 13 12 10 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 9 10 11 11 12 14 15 17 17 17 15 14 13 14 15 15 15 15 13 12 10 9 9 10 12 14 16 17 15 14 nan
nan 11 10 10 10 11 12 13 12 12 14 17 20 20 18 15 13 10 8 9 9 10 9 8 8 10 13 13 11 10 10 11 12 13 12 10 10 10 10 10 10 9 9 9 9 8 8 10 14 18 21 20 15 13 12 12 12 11 11 11 13 15 15 14 12 10 8 10 13 15 15 13 11 9 9 9 7 5 4 4 5 6 6 6 6 6 5 5 5 6 8 10 10 8 5 4 4 6 7 8 9 8 7 8 8 9 9 9 10 9 9 9 9 10 11 11 11 11 11 12 11 11 10 10 10 10 12 13 13 13 12 11 11 11 10 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 9 10 12 13 14 14 15 15 16 17 17 16 14 12 10 11 12 13 14 14 14 12 11 10 9 10 11 13 15 16 16 14 13 nan
nan 8 8 8 10 11 12 13 12 12 15 18 21 20 17 14 12 9 8 8 9 10 10 9 9 11 14 16 14 12 12 12 13 13 12 10 8 8 9 9 10 10 11 11 10 9 8 9 13 19 22 20 15 12 11 11 11 11 11 13 15 17 18 16 13 10 8 10 14 17 18 17 14 12 10 9 8 6 5 5 5 6 7 7 8 8 8 7 6 6 7 9 11 9 7 6 5 6 8 9 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 11 12 11 11 10 10 10 11 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 8 9 11 13 15 16 16 16 16 15 15 14 13 11 9 8 8 10 12 14 15 14 13 12 11 10 10 11 12 14 15 15 15 14 13 nan
nan 6 7 7 9 11 12 13 13 13 15 18 19 18 16 13 11 9 7 7 9 10 11 10 10 12 15 17 16 14 12 12 13 14 13 11 10 9 9 9 9 10 12 14 14 11 10 10 13 17 19 17 13 10 9 9 9 10 11 13 16 17 17 15 12 10 8 10 13 18 21 22 20 17 13 11 10 8 7 6 7 7 7 8 9 11 12 10 8 6 6 8 11 10 8 7 6 7 8 9 10 10 9 9 9 8 9 10 10 10 10 9 8 8 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 12 11 10 8 8 9 10 13 14 16 16 16 16 15 13 11 10 8 7 6 6 6 8 11 15 16 16 14 12 11 10 10 11 12 13 14 14 14 14 13 13 nan
nan 7 7 7 9 10 12 13 14 14 15 16 17 16 15 12 10 8 7 7 9 11 11 11 11 13 16 17 16 14 12 11 12 13 14 13 11 10 9 8 7 9 12 15 16 15 14 13 14 15 15 13 10 7 6 6 7 9 12 14 16 16 14 12 9 7 8 10 13 18 22 25 25 22 17 14 13 12 11 10 10 10 10 11 13 14 13 12 9 7 6 7 10 10 8 7 6 6 7 8 9 9 9 8 8 8 8 8 9 10 9 9 8 8 10 11 12 12 12 12 12 11 11 10 10 11 12 12 12 12 12 12 12 11 12 13 14 15 16 17 17 17 17 16 15 15 14 13 13 12 10 9 9 10 12 14 15 15 14 14 12 11 9 8 6 5 5 5 6 6 8 10 13 17 18 16 14 11 10 10 10 11 12 13 14 14 14 13 13 12 nan
nan 8 8 9 9 10 12 13 14 14 14 14 15 14 13 12 10 9 8 8 9 11 11 11 12 14 15 15 14 12 10 9 10 11 12 13 12 10 8 6 5 6 9 12 14 16 17 17 17 15 13 10 8 6 6 6 7 9 12 13 13 12 11 9 7 6 8 11 14 17 21 23 23 22 18 16 15 16 16 16 14 14 14 16 18 18 16 13 11 9 7 7 8 9 8 6 5 5 5 7 8 8 8 8 8 7 7 6 7 8 9 9 10 11 12 13 13 12 12 13 13 12 10 10 12 15 17 18 18 17 17 16 16 14 14 14 16 17 18 18 18 18 18 17 17 16 14 13 11 10 10 10 11 12 12 12 11 9 8 8 7 6 5 5 5 5 6 7 8 8 10 12 15 18 18 16 13 11 10 10 10 11 12 14 14 14 13 13 13 12 nan
nan 11 11 11 11 10 11 12 14 14 14 13 13 13 12 11 10 9 8 9 10 11 11 12 12 12 13 12 11 10 8 7 6 7 9 11 12 11 8 6 5 4 5 7 10 12 16 18 17 16 12 10 8 7 7 7 8 9 11 12 11 9 8 7 7 7 9 11 13 14 16 17 18 17 16 16 17 18 18 18 16 15 16 19 21 22 19 17 14 12 10 8 8 8 7 5 4 4 5 6 7 8 8 8 9 8 7 6 6 7 9 10 11 12 12 12 11 11 11 12 11 11 10 12 16 21 25 27 27 26 24 22 20 19 18 17 17 17 17 17 16 16 15 15 15 15 14 12 10 9 10 10 10 10 8 5 4 3 3 4 4 4 5 6 6 7 8 9 9 10 11 14 17 20 19 16 13 11 10 9 10 11 13 14 14 14 14 13 12 12 nan
nan 12 13 13 12 11 11 11 13 14 14 13 12 12 12 11 9 8 8 8 10 11 12 12 11 10 10 9 9 8 6 5 4 4 7 10 12 12 11 9 6 4 3 5 6 9 12 15 16 15 12 10 9 8 7 7 8 10 11 10 9 8 6 6 7 8 10 11 11 10 10 11 12 13 14 15 16 16 16 16 14 13 14 17 19 21 20 19 17 16 14 13 11 10 8 6 4 4 6 7 8 8 8 8 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 11 14 20 26 30 32 32 30 27 24 22 21 19 17 16 14 13 12 12 12 12 12 13 13 13 11 9 7 7 6 5 4 2 1 2 2 3 4 5 6 6 7 8 8 9 9 10 11 12 16 20 22 20 17 13 11 9 9 9 11 12 14 15 15 14 13 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
116 96 76 56 43 34 26 22 21 22 23 22 22 23 21 16 11 6 6 14 39 90 161 213 237 218 179 145 137 156 197 247 256 208 161 137 121 105 96 103 93 85 68 38 13 2 2 8 14 20 37 51 63 83 107 118 122 116 115 119 139 205 240 203 146 116 95 89 94 92 88 82 73 61 49 35 24 17 20 27 31 29 20 19 23 30 38 40 39 40 47 68 101 93 58 43 35 27 16 6 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 4 43 218
124 115 102 87 71 56 42 33 29 25 25 26 26 27 26 24 19 12 8 8 17 45 94 140 181 179 165 159 156 161 194 272 344 300 212 158 130 113 105 102 92 78 59 25 7 2 4 9 14 20 36 46 61 87 110 119 111 96 95 100 119 191 242 206 140 106 91 83 83 79 70 63 55 44 31 22 17 20 31 40 42 38 30 24 23 25 32 33 34 41 55 78 96 83 53 43 42 39 27 12 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 27 145
111 116 115 111 100 85 68 54 45 35 30 28 28 29 28 27 24 19 13 11 13 27 59 98 128 123 112 124 158 202 281 391 465 426 294 192 145 127 115 103 89 71 49 14 4 8 13 14 15 20 31 36 59 95 109 106 95 87 84 79 94 149 239 207 134 96 89 79 70 61 49 39 32 23 14 10 16 29 42 53 52 49 41 31 26 25 27 29 32 38 54 71 77 69 61 62 62 53 32 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 83
92 101 110 118 118 108 93 79 64 50 43 37 34 33 32 31 29 25 18 13 11 16 39 77 116 135 134 136 169 237 363 507 577 509 347 213 161 138 116 98 83 64 39 10 5 13 19 17 15 19 26 36 63 99 106 97 82 80 80 73 76 116 213 209 135 99 90 80 68 57 47 37 28 19 12 11 21 38 53 65 63 58 48 39 32 28 28 29 32 37 52 68 69 71 83 96 85 55 26 8 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 40
74 82 94 111 123 120 111 99 85 71 61 52 46 43 39 37 36 32 25 20 15 12 21 51 94 133 155 168 189 243 358 509 577 502 353 240 190 156 119 97 78 55 31 11 6 10 19 18 15 13 15 24 50 92 113 93 69 73 82 81 77 105 183 215 137 109 100 90 73 57 49 44 31 20 15 15 27 47 65 76 75 66 53 45 39 36 34 35 38 38 51 58 61 76 99 109 87 43 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 20
61 67 77 92 110 119 118 113 103 92 79 68 58 55 52 53 49 41 34 28 23 16 14 25 59 103 138 159 181 222 292 408 475 441 355 282 237 186 131 101 75 48 26 12 7 8 8 6 5 4 5 13 32 61 81 71 50 53 64 64 77 128 199 209 133 113 113 108 91 71 60 56 43 24 19 22 40 60 74 83 83 76 61 51 45 43 45 47 48 49 62 71 72 87 99 92 62 26 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 14
62 61 64 72 86 102 112 115 114 107 96 83 73 70 70 69 61 52 44 37 31 24 17 14 27 61 93 110 131 176 244 321 398 429 396 342 286 220 149 104 76 44 23 11 8 7 4 1 0 0 0 5 19 39 53 51 40 47 66 57 81 167 227 199 134 120 133 122 106 90 80 72 55 32 25 32 60 76 86 91 91 84 76 57 51 56 64 67 69 74 83 88 89 97 92 65 34 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
76 69 65 64 71 83 95 105 111 114 108 96 86 81 79 78 70 62 51 41 35 29 22 17 16 27 55 69 84 117 175 252 360 472 472 411 337 253 170 111 77 44 21 11 8 5 2 0 0 0 0 1 9 27 42 43 38 46 67 70 102 213 237 184 135 130 141 129 109 103 92 75 56 40 38 51 87 100 104 103 99 94 85 67 60 72 83 87 93 99 100 96 98 97 76 39 13 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 7
93 85 76 70 68 74 82 90 98 107 111 104 96 86 79 76 74 69 59 46 37 32 26 21 18 19 34 59 66 78 103 157 257 395 485 467 391 293 195 125 84 50 24 14 8 7 4 1 0 0 0 0 7 23 37 41 39 49 79 113 162 260 221 166 138 135 137 122 107 100 82 57 43 43 53 78 123 139 134 126 115 104 90 75 70 78 86 96 105 107 102 97 93 80 49 15 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 1 2 2 1 0 0 0 0 0 0 0 5
104 102 94 83 77 77 80 84 88 95 102 104 102 92 83 76 72 69 64 55 44 36 28 24 21 20 27 45 56 63 70 87 142 255 389 457 428 335 226 148 101 61 30 18 8 9 9 6 2 0 0 1 7 23 43 52 50 63 107 172 234 264 185 144 129 123 112 106 107 92 60 43 43 52 73 118 172 182 175 165 146 129 110 96 87 84 90 104 117 113 100 88 73 49 21 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 2 4 4 3 1 0 0 0 0 0 0 2
111 112 107 98 90 85 82 82 85 89 94 98 100 100 96 89 78 70 64 58 50 43 33 26 22 20 24 35 46 55 60 64 87 154 262 362 398 358 268 192 134 78 38 22 15 17 21 21 12 4 1 2 8 20 35 44 50 75 150 232 264 229 156 126 105 99 92 85 81 69 44 39 55 75 108 160 202 212 217 218 200 189 167 146 126 113 115 129 152 145 107 76 47 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0
107 110 107 103 98 92 86 84 85 85 88 90 92 97 100 101 92 81 71 62 54 47 41 31 24 21 22 29 39 48 54 57 63 94 163 249 315 331 298 244 179 101 48 25 19 21 32 45 36 17 4 3 9 18 27 34 42 82 207 288 279 218 162 136 99 81 77 80 72 52 35 41 62 84 152 193 209 232 271 298 288 281 259 228 192 164 160 180 204 187 111 61 28 8 1 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 1 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 4 5 5 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
98 100 97 97 96 92 90 90 90 84 83 84 85 88 93 96 96 92 82 72 62 55 48 39 31 27 25 29 36 42 46 52 57 71 109 175 246 289 294 271 222 133 69 31 17 20 36 57 60 35 11 5 11 18 24 33 54 108 276 332 292 232 195 167 118 72 70 72 57 37 29 37 52 71 140 172 179 227 306 362 368 358 332 303 262 220 216 250 276 229 106 43 13 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 3 7 6 4 4 6 7 5 2 0 0 0 0 0 0 0 1 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
94 94 92 88 86 83 86 92 95 89 80 79 77 78 85 93 95 94 90 83 75 67 59 51 41 35 32 31 39 43 45 48 56 67 88 138 209 270 302 302 266 187 107 44 18 21 43 67 72 51 20 11 14 18 23 36 73 155 326 304 307 279 246 201 138 82 53 49 45 33 26 30 40 65 125 148 142 192 285 363 387 367 337 317 284 238 233 263 267 198 86 23 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 4 8 7 4 2 4 9 9 4 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
94 92 89 84 80 74 78 86 90 89 82 76 66 68 73 76 83 90 91 88 85 81 76 69 58 47 42 38 46 49 48 47 51 63 83 118 178 245 296 323 304 243 149 52 17 23 56 81 80 59 36 31 34 25 24 42 96 193 293 228 293 284 255 203 142 94 63 51 50 40 27 22 28 52 97 128 118 145 217 292 334 334 315 291 241 198 192 193 166 108 46 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 3 7 7 5 2 1 1 2 2 3 3 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
94 92 90 87 84 76 76 81 79 75 75 73 66 68 66 66 70 78 84 86 87 90 89 85 77 66 55 48 51 54 51 47 47 57 77 107 145 190 240 293 324 286 176 57 18 27 73 100 89 66 53 50 43 30 30 51 119 218 285 268 249 237 212 165 120 87 68 57 50 35 19 12 13 31 67 99 101 98 120 157 199 236 247 215 165 131 123 108 80 43 14 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 3 8 8 5 2 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
95 96 98 99 95 88 82 82 81 76 75 74 71 72 71 67 68 70 76 82 87 94 97 96 89 80 72 64 59 58 52 47 44 50 69 95 118 137 169 247 339 315 185 64 31 40 94 119 95 68 56 52 44 35 42 69 142 237 293 285 249 226 200 149 101 73 60 49 34 16 6 2 2 8 41 75 74 54 39 41 55 83 95 86 70 61 53 40 24 10 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 2 5 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
97 98 104 109 108 102 93 87 82 80 78 76 75 74 72 69 67 69 75 79 81 87 97 103 99 91 84 76 69 62 54 49 43 43 58 81 100 113 142 224 345 323 179 80 55 69 110 128 93 60 51 49 44 39 52 85 153 231 286 290 264 236 206 162 110 76 53 32 14 3 0 0 0 2 20 34 29 14 6 4 8 10 11 14 16 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 0 0 1 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
107 104 108 116 121 119 114 104 94 86 83 79 78 78 76 71 68 72 78 82 82 84 93 104 108 101 91 83 78 69 59 51 44 37 41 59 81 103 142 217 311 304 178 101 81 94 110 106 77 47 42 45 43 44 63 102 152 196 266 293 275 234 187 143 111 76 39 12 2 0 0 0 0 0 4 4 3 1 0 0 0 0 0 1 1 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 2 4 4 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
118 118 122 130 143 145 142 133 116 98 88 82 82 82 80 77 74 74 79 82 84 83 88 99 110 111 100 88 87 81 71 59 48 39 33 38 55 84 131 205 277 285 202 118 108 115 108 86 60 42 43 48 41 45 78 128 171 191 230 276 260 216 161 116 92 55 18 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 1 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
130 139 151 163 171 176 173 165 144 118 100 91 87 90 89 83 78 78 83 87 91 92 91 97 109 115 111 101 95 94 85 73 58 43 34 30 36 65 114 184 256 284 234 142 131 126 95 65 47 42 48 54 44 58 118 178 216 232 231 271 235 210 156 116 83 36 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 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
142 156 174 190 196 199 201 196 173 142 118 101 93 94 96 90 84 85 89 94 99 105 107 103 107 114 113 106 99 96 93 84 67 49 35 28 29 51 99 167 257 308 270 178 137 119 75 48 40 46 58 66 64 89 159 188 214 221 229 253 204 204 164 131 83 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
157 170 184 197 202 211 217 210 192 164 138 117 101 94 96 98 100 99 98 102 109 117 120 115 110 110 108 103 97 94 93 89 76 57 39 27 26 44 87 155 266 354 297 197 140 103 66 39 37 49 68 84 87 96 159 220 230 204 211 224 185 186 181 147 81 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
172 182 185 188 193 205 211 207 196 177 153 133 114 102 96 99 108 108 107 110 115 122 127 125 118 112 110 105 99 94 92 92 84 65 44 27 20 31 67 136 250 376 308 213 142 88 53 30 36 47 66 83 87 95 150 256 269 216 222 213 166 154 178 132 60 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
173 176 172 170 175 182 184 187 185 176 160 144 127 115 106 108 118 118 112 122 134 141 143 136 125 115 111 109 102 95 93 91 84 73 51 28 15 18 45 108 212 347 337 235 139 78 47 34 38 47 66 87 91 95 134 209 238 186 191 179 144 134 143 84 22 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 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
157 152 146 142 145 151 154 163 167 165 157 147 138 127 115 118 129 127 122 139 162 170 164 150 133 119 114 112 103 95 89 83 77 71 55 30 15 12 27 75 169 290 358 251 141 81 51 38 36 45 59 84 92 87 106 141 151 118 112 116 121 121 97 42 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 3 2 1 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
134 127 119 114 115 120 124 134 137 138 140 139 134 126 116 127 136 137 138 152 175 184 178 161 140 123 113 110 105 95 84 73 68 64 54 34 16 9 13 45 132 253 327 258 143 91 67 49 40 42 51 71 87 68 67 84 93 83 71 79 111 84 45 14 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 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
117 112 106 103 103 103 104 107 108 108 114 121 121 118 118 130 142 157 165 175 186 190 184 167 147 129 116 109 104 95 84 69 59 58 53 38 19 8 7 27 102 223 300 266 165 101 84 67 53 46 47 54 57 32 31 46 62 67 64 72 86 40 13 3 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 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
113 108 106 104 106 100 98 96 94 91 92 100 104 103 104 117 146 185 193 195 191 186 179 168 153 139 119 105 99 94 84 70 53 54 54 42 23 9 6 17 78 204 296 298 223 149 118 89 75 66 55 45 33 18 13 25 41 49 55 57 41 14 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
116 114 112 111 109 101 98 95 91 88 87 89 93 94 98 123 159 190 197 199 194 189 180 169 157 146 127 105 95 91 86 73 53 48 54 46 28 12 7 18 68 206 315 335 278 215 177 125 103 100 81 53 30 16 10 15 28 29 37 32 15 4 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
122 121 119 116 110 102 97 94 90 88 88 89 90 91 102 128 158 183 196 199 197 190 180 166 154 147 140 123 101 90 85 76 58 44 46 45 30 13 7 24 87 221 339 297 240 222 213 173 143 139 111 67 35 18 11 11 16 14 20 13 3 1 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
127 126 123 118 112 104 98 92 88 87 88 89 89 91 98 123 153 176 187 191 194 192 184 169 152 142 135 123 101 88 81 78 61 41 35 38 28 12 8 31 112 237 320 222 206 241 233 208 187 163 119 63 30 14 8 7 8 6 10 5 1 1 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
129 129 126 120 115 110 103 97 92 90 88 88 88 89 96 115 145 175 183 182 184 186 185 175 162 152 142 123 99 84 75 79 61 40 31 32 26 12 9 42 139 252 289 219 242 309 294 273 231 166 97 45 18 7 3 4 4 3 4 4 2 3 5 6 4 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 0 0 0
132 133 131 126 123 119 113 106 101 96 90 89 88 89 97 117 147 182 189 178 169 169 174 172 164 157 148 133 111 94 84 79 62 45 39 38 32 21 17 58 175 292 295 249 285 357 336 302 235 152 81 40 16 4 1 1 2 3 5 6 3 4 5 5 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 0 0 0 0
141 144 144 141 138 135 126 116 106 97 92 91 90 90 98 125 160 186 190 187 180 174 170 164 155 149 147 145 123 105 94 81 66 54 49 53 51 42 45 88 201 297 306 305 340 367 320 244 185 132 84 48 21 3 0 0 1 4 6 5 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
154 159 162 164 162 158 150 132 116 103 97 94 91 90 95 114 146 169 178 187 189 189 180 166 152 144 145 144 120 104 92 81 71 63 55 72 81 82 96 145 221 256 257 321 365 347 267 192 151 121 91 62 35 14 1 0 0 3 3 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
163 170 176 183 188 190 184 166 144 127 118 112 104 96 91 97 116 135 149 162 169 179 181 175 164 152 140 126 110 97 89 79 73 72 77 103 123 133 161 205 228 207 216 328 345 296 227 174 142 117 89 67 50 28 7 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
163 170 175 186 200 212 215 203 182 167 154 142 129 114 101 94 99 110 119 134 147 155 163 171 173 167 150 120 96 97 77 73 79 91 116 151 171 183 212 230 203 192 255 327 284 232 197 171 142 108 71 46 39 28 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
153 158 161 169 182 202 213 209 201 202 186 165 148 133 116 104 100 103 107 123 138 148 156 165 171 171 163 141 117 97 60 63 86 122 162 191 204 218 253 250 185 213 271 252 169 147 151 145 120 84 46 19 19 18 8 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
142 146 147 147 153 166 180 187 193 196 184 164 148 137 125 113 103 105 114 134 147 153 159 165 168 167 163 150 122 82 52 63 89 117 150 181 201 224 270 307 265 283 245 154 75 68 84 84 78 62 40 22 18 14 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
132 141 143 137 132 134 142 159 163 168 171 164 148 132 117 108 103 108 126 152 164 173 177 176 172 166 160 145 102 54 43 61 75 79 114 157 181 205 253 323 343 312 181 81 32 23 30 46 55 50 37 24 16 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 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 135 141 135 125 118 117 123 130 134 157 163 151 133 116 105 100 104 122 143 156 173 191 189 176 160 145 118 63 23 32 55 87 132 158 175 182 194 239 311 352 289 117 45 20 16 19 26 34 33 24 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 0 0 0 0 0 0 3 5 4 0 0 0 0 1 2 3 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 0 0 0 0 0
107 117 126 127 122 116 113 112 112 107 124 135 137 133 126 117 110 101 107 120 138 164 181 179 163 136 105 70 34 6 17 62 132 192 204 197 197 210 248 304 322 243 97 35 13 7 8 13 17 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 0 0 0 0 0 0 0 0 2 4 3 0 0 0 0 2 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
97 101 105 107 109 111 113 114 114 117 123 116 115 123 131 130 121 107 100 114 134 157 168 160 144 119 85 51 26 13 16 62 123 181 201 196 203 244 290 311 286 207 106 44 14 6 3 5 7 6 2 0 0 0 0 2 5 6 2 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 0 2 2 1 0 0 0 0 1 5 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
91 91 95 100 107 113 112 114 117 121 121 112 104 112 127 135 129 114 100 110 120 139 150 144 128 106 80 54 36 28 33 57 103 176 219 220 220 255 309 301 264 201 133 78 43 32 20 19 21 15 6 0 0 0 1 9 17 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 4 2 1 0 0 0 0 0 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
86 86 99 120 133 131 118 113 114 123 130 127 118 117 129 140 136 124 111 106 101 123 133 126 109 89 72 61 48 38 37 47 67 119 167 173 162 160 166 152 160 179 161 126 97 84 68 59 53 40 21 4 0 0 4 17 21 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 6 5 4 2 0 0 1 2 1 0 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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81 86 101 129 149 148 131 117 118 129 134 145 157 164 162 156 168 186 165 132 106 96 82 73 68 68 71 73 63 39 30 27 35 48 61 78 79 69 53 38 37 71 149 158 128 101 89 87 88 85 66 36 16 15 29 39 26 12 3 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 3 1 0 0 2 8 10 6 2 0 0 0 0 0 1 2 3 3 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 0 0 0 0 0 0 0
84 89 97 109 117 113 106 100 99 104 115 135 152 161 161 165 185 225 189 154 118 87 67 57 59 64 67 66 57 42 35 42 68 86 87 88 95 100 92 70 47 50 99 144 109 81 68 65 67 76 80 54 35 34 46 49 33 14 3 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 1 3 1 0 1 3 7 7 5 2 0 0 0 0 0 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 92 92 92 93 92 89 91 93 93 100 119 139 149 149 146 159 188 190 164 115 78 56 48 51 57 60 57 48 41 43 53 103 142 138 107 87 93 103 92 64 50 76 121 97 71 58 60 74 90 97 69 51 48 51 48 33 13 3 0 0 0 0 0 0 0 0 0 0 0 3 5 5 3 1 0 0 0 0 1 3 5 4 2 1 0 0 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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93 89 87 86 87 86 85 84 90 96 100 108 120 133 140 148 163 175 168 131 89 74 58 47 43 42 40 31 23 29 34 58 117 186 177 114 62 50 70 86 76 78 80 97 109 106 104 96 90 89 81 67 63 57 50 40 25 10 2 0 0 0 0 0 0 0 0 0 0 1 2 5 6 4 1 0 0 0 0 2 6 6 4 1 0 0 0 0 3 6 8 7 5 2 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
83 81 81 84 87 91 91 91 94 101 108 127 128 133 153 188 208 170 149 121 90 65 47 39 37 35 29 19 13 18 25 51 115 179 159 91 46 40 58 77 82 85 77 91 105 116 127 129 105 75 50 43 53 59 58 47 31 14 4 0 0 0 0 0 1 3 2 1 1 2 3 5 6 3 1 0 0 0 2 7 11 10 6 2 0 0 0 1 4 8 9 8 7 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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77 78 80 82 86 90 94 93 92 99 108 121 129 187 200 181 149 124 114 95 76 59 49 45 38 25 13 8 14 34 64 78 158 170 127 68 32 30 41 58 63 52 33 28 44 90 120 117 85 42 18 22 41 53 52 40 21 9 2 0 0 0 1 5 18 23 21 19 20 21 17 10 3 0 0 0 0 4 11 17 20 17 15 12 7 3 1 1 4 12 13 11 8 6 3 0 0 0 1 3 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 0
80 79 82 83 86 89 89 84 86 108 103 110 153 199 182 127 97 88 80 71 59 50 51 49 37 21 10 13 34 63 88 110 223 201 130 67 35 34 42 54 48 27 17 24 19 61 88 84 65 48 36 30 38 32 18 7 3 2 1 1 2 3 7 18 28 31 32 31 28 24 17 9 2 0 0 0 0 6 12 16 17 17 17 16 11 5 1 1 4 16 19 17 13 8 4 1 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
82 82 82 84 86 87 84 82 91 104 102 138 162 147 123 98 80 63 54 51 39 44 55 49 33 16 10 19 48 73 96 157 271 233 131 60 32 32 41 48 29 19 21 24 21 41 64 73 77 73 60 38 31 17 6 1 1 2 4 5 7 10 18 29 30 37 45 38 25 12 4 1 0 0 0 1 2 6 9 9 9 10 12 16 14 8 2 0 3 11 18 19 16 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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85 83 79 77 79 83 88 95 103 115 140 141 162 168 159 139 101 40 20 13 20 36 53 61 48 34 33 47 71 96 160 252 276 228 148 65 19 34 82 76 6 4 11 31 29 22 24 42 72 91 73 48 31 15 3 0 3 8 12 13 15 17 21 31 48 64 66 38 14 4 2 2 4 6 5 4 3 2 3 2 0 0 2 8 18 21 13 5 1 0 1 2 1 1 1 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
80 80 76 74 75 80 88 98 107 123 140 155 187 200 203 180 121 46 8 4 11 25 44 61 60 52 55 72 99 145 239 285 263 206 133 59 9 31 85 61 11 5 14 41 29 13 12 31 62 90 76 63 44 21 5 0 5 11 15 16 14 15 22 48 65 65 48 22 6 6 12 15 12 6 2 2 1 0 0 0 0 0 1 5 14 23 15 9 5 2 1 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
76 75 70 69 72 79 88 99 111 128 159 190 209 219 223 201 140 69 19 5 7 21 35 48 54 56 66 98 149 225 293 267 232 166 94 35 7 19 54 38 12 8 23 43 34 16 14 37 76 114 100 68 37 14 3 1 6 14 18 15 12 17 31 74 76 52 25 9 3 12 28 31 17 1 0 0 0 0 0 0 0 1 0 3 11 19 14 12 10 6 2 0 0 0 0 0 5 7 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 0 0 0
72 70 67 66 71 82 96 114 138 179 225 274 279 254 239 231 200 139 72 26 12 23 26 33 43 59 82 141 236 302 297 238 209 141 72 26 9 16 34 37 11 18 47 69 55 27 22 48 92 116 81 27 10 2 1 4 9 16 16 12 14 26 45 63 37 19 6 1 3 12 30 34 17 0 0 0 0 0 0 0 0 1 1 4 9 12 12 11 9 6 2 1 0 0 0 1 5 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 0 0 0 0
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70 70 74 84 96 104 119 156 214 275 317 350 315 286 266 257 254 248 215 155 82 33 15 19 48 111 190 264 305 240 212 166 113 62 24 13 10 6 8 12 8 41 78 61 34 23 31 44 43 20 7 4 6 13 26 36 40 34 26 31 50 53 34 10 2 1 1 2 4 8 13 14 5 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 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 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
77 81 90 101 115 132 154 182 219 252 266 294 315 310 295 275 258 250 240 203 113 45 22 30 71 159 242 274 241 164 166 108 63 31 11 4 6 4 6 6 14 42 43 24 17 27 44 52 39 12 3 7 16 33 52 54 44 35 40 61 84 67 33 9 3 4 8 9 7 4 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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
94 100 112 128 149 174 198 210 203 246 295 335 359 367 347 325 301 275 248 209 109 51 32 52 110 201 260 247 197 153 140 74 44 29 19 11 8 11 13 7 25 47 35 13 23 38 46 40 21 5 5 14 31 46 50 40 29 31 50 79 99 75 41 19 11 14 19 18 10 5 3 2 1 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 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0
125 136 146 170 208 236 245 240 236 290 334 360 367 363 348 352 349 312 254 181 92 53 56 95 157 218 246 204 169 144 112 64 46 43 37 32 33 37 29 21 47 44 18 8 27 38 32 19 8 5 8 28 40 41 33 22 17 29 53 82 94 75 53 40 31 25 21 16 8 5 3 1 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
165 180 195 226 267 287 282 268 268 296 316 347 332 314 317 352 381 338 247 150 81 67 96 152 190 203 187 144 127 104 77 55 47 45 47 51 54 53 54 75 71 38 11 5 13 19 13 8 8 15 28 45 40 30 20 15 18 30 53 76 80 69 61 56 46 32 19 10 5 4 3 2 3 6 9 6 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 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 1 2 4 5 4 2 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
209 230 253 280 310 323 306 286 280 273 267 325 314 319 353 399 418 346 209 114 77 89 125 180 187 165 132 103 93 64 54 49 48 45 43 36 35 53 94 127 45 17 6 4 6 6 3 7 18 31 45 47 31 20 16 16 20 31 47 64 67 64 62 56 47 32 17 8 5 5 3 2 4 8 10 9 7 6 5 3 2 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 5 5 3 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
232 275 303 324 338 338 318 292 280 256 250 289 335 367 417 442 406 291 133 86 87 109 136 161 150 121 96 78 64 42 45 55 56 53 46 26 8 28 76 84 10 1 3 5 5 4 2 7 25 28 30 31 18 13 15 17 21 28 38 46 55 59 58 52 41 25 12 7 6 7 5 3 4 6 8 8 8 8 7 6 4 3 1 1 1 0 0 0 1 2 3 5 6 5 2 1 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 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
263 307 333 325 314 304 292 278 270 263 271 313 368 392 424 409 329 203 91 87 106 124 131 123 104 81 68 57 48 42 45 64 59 55 47 29 3 7 26 24 5 2 4 6 6 5 4 9 23 28 26 21 14 13 15 18 20 23 29 37 50 58 56 48 35 19 8 7 8 8 7 4 3 3 5 6 6 6 6 6 5 4 2 2 1 0 0 0 0 1 2 5 7 7 5 3 2 3 3 3 3 2 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
293 305 307 280 252 244 249 256 266 289 321 368 394 391 379 324 227 134 92 108 121 124 112 91 70 55 49 48 54 55 51 56 53 51 43 28 11 4 13 9 6 9 13 9 7 7 9 15 22 26 20 17 16 16 18 20 22 25 31 42 57 64 58 45 28 14 6 7 8 8 7 5 3 2 3 4 4 4 5 5 5 5 3 2 0 0 0 0 0 0 0 1 3 4 4 3 2 4 5 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
282 285 253 210 194 205 220 238 268 311 351 375 395 372 314 235 155 110 105 115 116 105 84 60 46 43 46 49 56 62 61 58 57 60 53 37 20 13 19 12 13 35 47 35 17 10 14 21 26 25 19 18 19 19 20 22 25 29 38 53 67 68 60 45 28 14 8 8 7 7 7 5 3 2 2 3 4 5 5 6 7 7 5 3 1 0 0 0 0 0 0 0 0 1 2 2 3 4 6 6 6 6 3 2 0 0 0 0 1 0 0 0 0 0 0 0 1 2 4 5 4 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
260 244 201 170 164 172 195 225 264 313 360 382 402 335 251 179 132 118 112 106 97 80 58 41 34 36 42 49 55 68 76 77 76 76 68 52 38 27 21 16 18 70 90 72 34 10 18 28 32 30 27 26 25 24 22 22 26 34 48 58 66 65 55 43 32 22 16 12 8 8 8 7 5 4 3 4 5 6 7 8 9 8 9 7 4 2 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 7 7 5 2 0 0 0 1 1 1 0 0 0 0 0 1 1 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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