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
nan 7 7 7 7 7 7 6 6 5 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 9 11 13 15 16 14 10 7 5 5 6 7 9 12 14 14 12 10 9 9 9 11 12 13 15 19 21 19 13 6 0 -1 0 2 3 2 2 1 1 1 2 2 2 4 7 9 9 6 4 2 1 3 7 8 7 7 7 7 6 7 9 9 5 1 1 3 5 5 5 5 6 8 10 9 7 7 7 8 8 8 8 7 5 3 2 1 0 1 1 1 2 3 3 2 2 3 3 4 7 12 14 12 8 5 5 4 3 3 5 10 13 12 9 7 6 5 6 6 5 2 -2 -5 -3 2 9 14 16 17 15 nan
nan 7 7 7 7 7 7 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 10 12 15 15 14 12 9 7 5 5 8 13 19 24 25 23 18 15 15 16 17 18 19 18 18 20 21 18 11 4 -1 -1 1 2 2 1 2 3 4 4 3 3 4 5 7 8 7 5 3 2 2 3 6 7 7 6 6 5 5 7 9 10 7 3 1 2 3 5 6 5 4 5 7 7 7 7 7 7 7 7 7 6 4 2 -0 -1 0 1 2 3 4 5 5 5 5 5 5 5 8 12 14 12 7 5 6 6 5 4 2 3 5 8 10 9 6 5 5 6 6 5 1 -2 -2 1 7 11 14 14 13 nan
nan 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 9 11 14 15 14 11 9 8 6 6 7 12 19 26 31 31 26 21 17 17 19 22 25 25 24 22 21 20 17 10 2 -2 -1 2 3 2 2 3 6 7 7 8 7 7 7 7 7 7 6 4 3 2 3 4 6 7 7 6 4 4 6 8 9 8 6 4 2 2 3 6 6 5 3 4 5 5 6 6 7 7 7 6 5 4 2 1 1 2 3 4 5 6 7 8 8 7 7 6 7 9 12 13 11 8 7 8 8 8 7 5 3 2 2 7 10 8 5 4 5 7 7 5 3 1 3 6 10 12 12 12 nan
nan 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 7 7 7 6 6 7 8 11 13 15 15 12 8 6 5 6 8 12 17 21 24 25 23 20 16 15 16 20 25 29 30 27 24 22 20 15 7 -1 -3 1 5 6 5 5 7 10 13 14 14 13 11 9 8 8 7 6 5 4 2 2 3 6 8 9 6 3 3 5 7 7 7 8 7 3 1 3 5 6 6 5 4 4 4 5 6 8 8 7 5 4 4 4 3 3 4 4 5 6 7 8 8 8 8 8 8 10 11 13 13 11 8 8 9 8 7 7 8 8 5 2 3 8 9 7 6 6 7 8 8 6 4 5 7 9 10 11 10 nan
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nan 22 19 15 13 11 10 10 11 14 17 20 21 18 14 11 8 4 2 2 6 10 13 13 11 9 6 4 3 3 3 3 3 4 4 4 4 4 5 7 9 11 11 10 8 4 1 4 8 10 8 5 5 9 12 13 13 12 9 8 8 9 10 11 12 14 16 15 12 10 10 8 6 4 4 5 6 6 5 4 5 6 7 8 8 9 11 12 14 15 16 15 13 13 13 12 10 6 4 4 5 6 7 6 5 4 5 8 12 14 15 16 16 16 16 17 18 18 16 12 8 8 12 16 16 10 4 3 5 7 7 8 11 16 21 25 24 18 11 7 4 2 1 2 4 5 5 5 7 8 9 8 8 10 12 13 11 7 4 1 -1 -1 2 5 9 11 10 7 3 2 2 3 5 6 8 9 10 12 12 12 11 9 8 7 7 7 7 7 8 8 nan
nan 18 18 15 12 10 9 8 10 13 17 19 19 16 11 7 4 2 1 3 8 12 14 13 11 8 6 4 2 2 4 5 6 7 8 9 10 9 10 11 12 14 14 13 10 5 0 -1 0 1 1 1 2 6 9 11 11 11 8 7 7 8 9 10 12 14 14 13 11 10 11 11 10 7 6 6 6 5 3 2 4 6 7 8 7 8 9 12 14 16 17 17 16 15 14 14 12 8 6 6 5 4 2 -0 -1 0 3 7 10 12 13 15 16 18 19 20 20 19 16 12 10 10 14 16 14 8 3 7 11 12 9 7 8 13 18 22 21 17 12 9 6 3 0 -1 0 2 5 6 7 9 10 10 9 9 11 12 12 9 7 4 2 2 4 7 10 11 9 5 2 1 2 3 5 7 9 11 12 12 12 10 9 8 7 7 6 7 7 7 7 7 nan
nan 14 15 14 11 8 7 8 10 15 18 19 17 14 9 5 2 1 2 6 11 14 14 12 10 8 7 5 3 4 5 7 8 10 11 13 14 13 13 13 15 16 18 18 15 11 4 -2 -6 -7 -5 -2 2 5 8 9 10 9 7 4 4 6 8 11 14 15 15 12 10 9 10 11 11 10 8 7 7 6 4 3 4 7 9 9 8 7 7 9 12 15 17 19 19 18 15 13 12 11 11 10 9 7 4 1 -0 2 5 7 8 8 9 11 14 16 18 18 16 15 14 12 12 14 16 16 12 6 5 12 18 16 10 4 2 5 11 14 16 14 12 10 8 4 1 -1 -1 1 4 6 8 9 11 11 11 10 10 10 11 11 10 8 6 6 7 9 10 11 9 5 3 2 3 5 7 9 11 12 12 12 10 9 8 7 7 7 7 7 7 7 8 8 nan
nan 13 14 14 11 8 7 9 13 17 19 18 16 12 7 3 1 2 5 10 13 14 14 12 9 8 6 5 4 5 6 8 9 10 12 14 15 15 15 15 16 17 19 20 20 17 11 5 -1 -4 -4 -1 3 6 7 8 8 7 6 4 3 5 9 13 16 17 16 13 10 9 9 9 9 8 7 7 7 6 4 4 6 8 10 11 10 8 7 7 10 13 16 19 21 21 17 13 11 12 14 14 12 10 7 6 5 7 9 9 8 7 7 9 12 14 13 10 7 7 9 11 13 16 18 16 12 8 9 16 21 17 10 2 -3 -2 3 7 10 11 11 10 8 6 3 1 1 2 4 7 8 9 10 10 10 10 9 9 10 10 10 9 7 7 9 11 12 11 9 7 4 3 4 6 8 10 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 nan
nan 13 15 13 10 8 8 11 15 18 19 17 14 10 5 2 2 4 9 13 15 14 13 11 9 7 6 5 3 3 5 7 8 8 10 12 14 15 16 16 16 16 17 18 18 18 16 12 8 6 5 6 8 9 9 9 8 7 6 5 5 6 9 13 16 17 16 14 11 10 9 9 8 6 5 4 4 4 3 3 4 7 9 11 11 9 7 7 7 10 14 18 22 24 21 15 13 14 15 15 13 10 9 9 10 11 12 11 9 8 8 10 13 13 10 5 2 3 5 9 12 15 17 16 14 14 15 17 20 16 9 1 -3 -3 0 4 8 9 10 10 9 8 6 5 5 5 6 7 8 9 9 9 9 9 9 9 10 10 9 7 6 8 11 14 14 12 10 8 6 5 5 7 8 10 11 10 10 9 9 8 8 8 7 7 7 8 8 8 8 9 nan
nan 15 15 11 8 7 8 13 17 19 19 16 12 8 4 2 4 7 12 15 15 14 12 10 8 6 5 3 2 1 3 5 7 8 8 10 13 15 17 17 16 15 15 15 16 16 15 14 12 12 13 12 12 12 12 11 11 9 7 6 6 6 7 10 13 15 15 13 12 11 10 9 8 6 4 3 2 2 1 1 2 4 7 9 10 10 9 8 7 8 12 16 20 24 23 19 17 16 16 15 12 9 7 8 11 12 11 10 9 9 10 12 14 13 10 7 7 8 8 9 11 14 16 16 16 17 17 17 17 15 10 5 2 1 3 6 8 9 10 10 10 10 9 9 9 9 9 8 9 9 10 10 9 9 9 10 10 9 7 5 5 7 12 16 15 13 12 10 8 7 7 7 8 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 14 12 8 6 6 9 13 17 19 18 15 11 6 3 3 6 11 14 16 15 13 11 9 7 6 4 2 0 -0 2 5 7 8 8 9 12 15 18 18 17 16 15 15 16 16 15 14 13 14 15 15 14 13 12 12 12 12 10 9 7 6 5 6 8 11 13 13 12 12 11 10 9 8 6 4 3 2 1 0 0 2 4 6 8 10 10 10 9 9 11 14 18 22 23 22 20 19 17 15 12 9 6 6 8 10 9 9 9 10 11 13 13 11 10 11 13 14 12 11 12 14 16 16 16 15 14 14 14 14 13 11 9 7 7 9 10 11 12 12 12 12 12 11 11 11 11 10 9 10 10 11 10 9 9 9 9 7 5 3 3 5 10 14 15 14 12 11 10 8 7 7 8 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 8 8 nan
nan 12 9 6 6 7 10 13 17 18 16 13 8 5 4 6 10 14 16 15 14 12 10 8 7 5 4 2 1 1 3 6 7 8 9 10 12 15 17 18 18 16 15 16 16 16 15 13 13 14 15 15 14 11 9 8 8 9 9 8 8 7 5 4 5 8 10 12 12 13 12 12 11 10 8 6 5 5 4 2 1 -0 1 3 5 9 11 11 11 11 11 13 16 20 22 24 22 19 17 15 14 12 9 7 7 7 6 7 10 12 13 13 10 7 7 10 13 13 12 11 12 14 17 18 17 15 13 12 12 13 14 14 13 12 11 11 12 13 13 14 14 13 12 11 11 11 11 11 11 11 10 11 10 9 9 9 8 5 3 2 3 4 8 12 14 14 13 12 11 10 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 nan
nan 9 7 6 6 8 11 13 16 16 15 10 6 5 7 10 14 17 16 15 13 11 9 8 6 6 5 4 4 4 5 6 7 7 8 10 11 14 16 17 17 15 13 12 12 12 12 12 12 13 14 14 14 11 7 5 4 4 4 4 4 4 5 5 5 7 9 10 11 12 11 11 10 9 8 7 8 8 8 6 3 -1 -1 0 4 7 11 12 13 12 12 13 15 18 20 22 21 19 17 15 15 15 13 9 7 5 5 6 10 13 13 12 8 5 5 7 9 10 10 10 11 14 17 19 20 18 16 15 14 15 17 17 16 14 13 12 12 12 12 12 12 11 11 10 11 11 11 11 12 12 11 10 9 8 9 10 9 7 4 4 4 6 8 11 14 16 15 13 12 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 nan
nan 8 6 6 7 9 11 13 14 14 13 9 6 6 10 13 16 16 15 12 10 9 8 7 6 6 6 6 6 6 7 6 6 7 8 10 12 13 15 16 15 13 10 8 8 9 9 10 10 11 13 13 13 12 9 6 5 4 3 2 0 0 2 4 6 7 8 9 10 10 9 8 7 6 5 6 8 10 10 8 5 0 -3 -1 3 7 11 13 13 13 13 14 15 16 16 17 17 17 16 15 15 16 15 11 7 5 5 7 10 12 12 11 8 5 4 5 7 9 10 11 11 13 15 18 20 21 19 18 16 16 18 20 19 17 14 12 10 10 10 10 10 9 9 10 11 11 12 12 12 11 10 10 9 10 11 12 11 8 5 3 4 7 9 13 16 17 16 13 11 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 nan
nan 8 6 6 7 8 9 11 12 13 12 10 8 9 11 13 13 13 11 9 8 8 8 7 6 6 6 6 6 7 7 7 7 8 9 11 12 14 14 15 14 12 9 7 7 8 9 9 9 9 11 11 12 11 11 10 9 8 7 5 4 2 2 4 6 7 7 8 9 10 9 9 8 6 5 5 6 8 9 9 6 2 -2 0 5 9 12 13 14 14 14 15 16 14 12 11 12 13 14 13 14 14 14 11 8 7 8 10 12 13 13 12 10 7 4 4 6 8 11 12 12 12 12 14 16 18 18 16 14 13 15 19 20 18 15 12 10 9 10 11 12 11 9 10 10 11 11 11 10 10 10 11 11 12 11 11 9 6 2 2 4 8 11 14 17 18 16 12 10 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 nan
nan 8 6 5 5 6 7 9 12 14 14 12 11 11 11 11 10 9 9 8 7 8 7 7 6 5 5 5 5 6 6 8 9 10 10 11 12 13 14 15 14 12 10 8 8 9 10 10 9 8 9 9 10 10 11 12 12 11 11 10 9 9 8 8 7 7 7 7 8 9 10 10 9 8 7 5 5 5 7 8 7 4 1 3 8 11 14 15 15 15 14 15 15 13 10 9 9 10 11 11 11 12 13 13 11 11 12 13 15 16 16 15 12 8 4 2 2 5 9 11 13 12 10 10 10 12 13 12 10 10 12 16 18 18 16 14 12 11 12 14 15 14 12 11 11 11 10 10 10 11 12 13 13 12 11 9 5 0 -1 2 6 10 14 16 18 18 15 10 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 6 4 3 3 4 6 9 12 15 16 14 13 12 9 8 8 8 9 10 9 9 8 7 6 5 5 5 6 6 7 9 11 11 11 10 11 12 14 16 16 14 12 10 9 10 11 11 10 9 9 8 8 9 10 12 13 13 12 12 12 13 14 13 12 10 9 8 8 8 7 7 7 7 7 7 6 5 6 7 7 6 5 6 10 14 16 17 17 16 14 13 12 11 10 10 10 10 10 10 10 11 14 15 16 15 14 14 15 16 17 16 13 8 3 -0 -1 1 5 9 12 12 10 7 6 6 7 8 8 9 11 14 16 17 17 16 15 14 13 14 15 16 15 13 12 12 11 11 11 13 15 15 14 12 9 5 0 -2 1 6 12 16 18 19 20 18 13 8 7 7 8 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 5 3 2 3 5 7 10 12 15 16 15 14 11 9 7 7 8 10 11 11 10 9 7 6 6 7 9 10 10 11 12 12 11 10 9 9 11 13 15 16 15 13 11 11 11 11 11 10 10 10 9 9 9 9 11 12 13 12 12 13 14 15 15 15 14 12 10 10 9 7 6 5 5 6 7 7 6 6 7 8 8 8 9 12 15 18 19 18 17 15 13 12 11 11 12 13 14 13 13 12 12 14 15 16 16 15 14 14 15 16 15 11 6 2 -2 -4 -4 -0 4 9 11 10 8 5 3 3 5 8 10 12 14 15 16 16 16 16 14 13 12 12 12 13 14 14 14 13 13 12 13 15 15 14 11 7 1 -2 1 7 13 17 20 21 21 20 16 10 7 6 7 9 10 10 9 9 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 4 4 4 5 7 8 10 13 14 16 15 12 9 7 6 7 9 10 11 11 10 9 8 8 8 10 12 13 14 14 14 13 11 9 8 9 10 11 13 13 13 13 12 11 11 11 10 9 9 9 10 10 9 9 9 11 12 12 12 13 13 13 13 13 12 11 11 11 12 11 9 7 6 6 6 6 6 6 6 7 8 9 10 13 16 18 19 19 19 17 14 13 12 12 13 15 16 16 16 16 16 14 13 13 13 13 13 14 14 14 13 10 5 1 -2 -5 -8 -7 -1 5 10 11 9 6 3 2 4 7 10 12 12 13 13 14 14 14 13 12 11 10 9 9 11 14 15 14 13 12 12 13 14 13 9 4 -0 1 6 12 16 19 21 22 21 18 13 9 6 6 8 9 10 10 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 nan
nan 4 5 7 8 10 10 12 14 15 15 14 11 8 6 5 6 8 9 9 9 10 10 11 11 11 11 12 12 13 14 14 13 12 10 9 9 9 9 10 10 11 11 11 11 12 11 10 9 9 9 9 10 10 9 8 9 11 13 14 14 13 12 11 10 8 7 7 8 10 12 11 9 7 6 6 5 5 5 6 7 8 10 11 13 15 17 19 19 19 17 16 14 13 12 11 12 13 16 17 19 19 17 14 11 10 9 10 11 11 10 9 7 4 1 -3 -7 -12 -14 -7 0 7 10 10 8 5 3 4 7 10 11 11 11 11 13 14 14 14 13 13 12 11 11 12 14 16 16 15 13 12 12 13 12 10 5 2 5 10 13 15 17 19 20 18 15 11 8 7 8 9 9 10 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 nan
nan 4 6 9 11 11 12 14 16 18 17 15 12 9 7 6 6 6 7 7 8 9 10 12 12 11 10 9 9 10 11 11 12 11 11 9 8 7 6 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 10 12 14 15 14 14 12 11 9 6 5 4 6 8 9 8 7 6 5 5 5 5 5 7 9 10 11 13 14 15 17 17 17 16 14 13 11 9 8 7 9 12 15 17 18 18 16 13 9 7 5 4 4 3 3 3 3 1 -3 -9 -16 -19 -13 -4 4 8 10 8 7 5 6 8 9 10 11 12 13 15 17 19 19 18 17 16 15 14 14 15 17 17 17 15 14 14 14 15 13 10 8 9 12 12 13 14 15 15 14 12 10 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 nan
nan 7 8 10 11 11 13 16 19 22 21 18 15 12 8 6 5 6 6 7 8 8 9 10 11 10 8 7 6 7 7 8 9 9 9 9 7 6 5 5 5 6 8 9 10 10 9 8 8 8 9 9 9 9 8 8 7 8 9 11 12 13 13 14 15 14 11 7 4 4 4 6 7 6 5 5 5 5 5 6 7 9 9 10 11 13 14 15 15 14 12 11 10 8 7 6 7 8 11 14 14 14 14 13 12 9 6 3 -0 -2 -2 -1 0 2 1 -3 -9 -15 -19 -15 -6 1 6 8 7 7 7 7 9 10 11 11 12 14 18 22 25 26 25 23 21 18 16 15 15 15 15 16 17 18 19 20 19 18 16 14 13 13 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 10 10 10 9 10 12 16 20 24 24 21 18 14 11 8 6 6 7 8 9 9 9 9 10 9 9 7 7 6 6 6 7 8 8 9 7 6 5 5 5 6 7 9 10 11 10 9 8 8 9 9 9 9 8 7 7 6 6 6 7 8 10 12 14 15 14 11 7 5 4 5 6 6 5 5 6 6 7 8 9 9 9 9 9 11 12 14 14 12 10 9 8 7 8 9 11 13 15 16 15 13 12 10 10 8 6 4 1 -1 -2 -1 1 3 4 -0 -6 -10 -12 -12 -6 -0 4 6 6 6 7 7 8 9 10 11 11 13 16 21 26 28 28 26 23 20 18 15 14 12 13 16 19 22 25 25 23 19 17 16 15 14 13 12 12 11 10 9 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 nan
nan 12 10 9 9 10 11 14 19 22 23 20 18 15 14 12 10 9 8 9 10 10 10 9 9 8 8 7 7 7 6 6 7 8 10 11 10 8 7 6 6 6 7 8 10 11 10 9 9 9 9 10 11 11 10 9 8 7 6 5 4 4 5 7 10 11 12 12 10 7 6 5 6 6 6 6 6 7 8 10 10 10 9 8 8 9 11 12 13 11 9 7 7 7 9 13 16 19 21 20 18 15 12 10 10 9 7 6 7 7 6 6 7 9 10 8 3 -1 -4 -5 -4 -1 2 4 5 5 5 6 7 8 9 10 10 11 13 17 22 25 26 25 23 20 17 14 12 11 12 15 20 23 25 24 20 17 16 15 14 13 13 12 12 10 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 7 7 7 nan
nan 11 9 8 8 9 10 12 15 17 17 15 14 13 13 14 14 12 10 9 9 10 9 8 7 6 6 6 6 7 7 7 7 8 10 12 12 11 10 8 7 7 7 8 8 9 9 9 9 10 11 13 15 15 13 12 11 10 9 7 5 4 4 5 7 8 9 10 10 8 7 6 6 6 6 6 5 6 7 9 10 10 9 8 7 7 9 11 11 10 8 7 7 8 11 14 19 21 22 21 18 15 13 13 13 12 11 11 12 13 13 15 17 19 20 19 14 8 4 1 -1 -0 2 4 5 5 5 5 6 7 9 10 10 11 12 14 17 19 21 20 19 17 14 12 10 9 10 12 15 17 17 16 15 15 15 15 13 12 11 11 10 10 10 10 10 9 8 8 7 7 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 10 7 6 6 7 8 9 10 11 11 10 9 10 11 13 15 15 13 11 9 9 8 6 5 4 5 5 6 7 7 7 7 7 9 11 13 13 12 11 9 8 8 8 8 7 7 7 8 10 13 15 17 18 17 16 15 14 12 10 7 5 4 5 6 7 8 8 8 7 6 5 5 6 6 5 4 4 5 6 8 9 10 9 8 7 7 9 9 9 8 8 10 12 13 16 18 19 19 18 15 14 14 15 17 18 18 17 17 17 19 23 26 28 27 24 18 12 7 3 1 1 2 4 5 5 4 5 5 6 8 9 10 12 12 13 14 16 16 16 14 13 12 12 11 10 9 8 9 9 10 10 12 14 16 15 13 11 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 9 nan
nan 10 8 6 6 6 6 6 6 7 7 6 7 8 10 12 14 15 14 12 10 9 7 6 5 4 5 6 7 7 7 6 6 6 6 8 11 12 13 12 10 9 8 8 9 7 5 6 7 10 13 15 17 17 17 16 15 15 13 12 9 6 5 5 6 7 8 8 7 6 5 5 5 5 5 5 4 4 5 6 8 11 12 12 11 8 6 6 7 8 9 11 15 17 17 17 17 16 14 13 12 12 13 15 18 20 22 23 24 25 26 28 29 27 24 20 15 10 6 4 2 2 3 4 5 5 5 5 5 6 7 8 10 12 13 14 15 15 15 14 12 11 12 12 11 10 8 7 5 6 8 11 14 17 18 16 13 10 8 8 8 9 10 11 11 12 12 11 10 8 8 7 8 8 8 9 8 8 7 7 6 6 6 7 8 9 9 9 10 10 nan
nan 12 10 8 7 7 6 5 5 4 5 5 6 7 9 11 12 13 13 12 11 10 8 7 7 6 6 6 6 6 6 5 5 5 6 7 8 9 10 11 10 9 9 10 10 9 6 4 6 8 11 13 14 14 14 13 13 13 13 11 9 7 6 6 6 7 7 7 6 5 4 4 5 5 5 5 5 6 6 8 11 14 16 16 13 10 6 5 5 7 10 14 18 20 19 17 15 12 10 8 8 8 10 12 15 18 21 24 26 27 27 27 24 21 16 12 9 7 5 4 3 2 2 4 5 6 6 7 7 6 6 8 10 12 14 15 16 16 15 13 11 10 10 11 10 8 6 4 3 5 9 13 17 19 18 15 11 9 8 8 8 9 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 nan
nan 12 11 9 7 7 8 8 6 5 5 5 5 6 8 10 12 12 12 12 11 11 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 9 9 10 11 12 13 11 7 4 4 5 7 9 11 11 10 9 10 10 11 10 9 8 7 7 7 7 7 6 5 5 4 4 4 5 6 7 7 8 8 10 13 16 18 17 15 10 6 3 4 6 10 15 19 20 18 15 13 10 7 6 5 6 7 9 11 14 17 20 21 22 21 20 17 14 10 8 6 5 4 3 2 2 2 3 4 6 7 8 8 7 7 8 9 11 13 15 15 15 14 11 9 8 8 10 10 8 6 4 3 6 11 15 17 17 15 11 9 8 7 7 8 9 10 10 10 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 nan
nan 9 8 6 5 6 8 10 9 7 6 5 5 5 6 8 11 13 13 13 13 12 12 11 11 11 10 8 7 7 7 7 7 7 7 6 4 4 5 6 8 10 12 15 16 14 11 7 4 4 5 6 8 8 7 6 5 7 8 9 9 9 8 8 8 8 8 7 5 4 3 3 4 5 6 7 8 9 9 11 13 15 17 17 14 10 5 3 4 7 11 15 18 18 17 15 13 11 8 8 8 8 8 8 8 10 12 14 15 14 13 12 10 9 7 6 5 4 4 3 2 2 2 2 4 5 6 8 8 8 7 8 9 11 13 14 15 13 10 7 5 6 9 12 14 14 12 10 9 10 13 14 14 12 10 8 7 7 7 7 8 9 10 10 10 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 9 9 nan
nan 8 5 3 3 6 8 11 12 11 8 6 5 5 5 7 10 12 14 14 13 13 12 12 12 11 11 10 9 8 8 7 7 7 6 5 4 3 3 5 8 10 12 14 16 16 14 11 7 5 4 4 6 7 6 4 3 4 5 7 9 9 8 8 8 8 7 7 5 4 3 3 3 4 5 6 7 8 9 10 11 13 14 15 13 9 5 3 4 7 11 15 17 18 17 16 15 14 13 12 12 12 10 8 7 8 9 10 10 9 7 6 5 5 5 5 4 4 4 3 2 2 2 3 4 5 6 7 7 7 7 8 9 10 12 13 14 12 8 5 5 7 12 17 21 23 20 16 14 13 13 12 10 8 6 6 6 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 9 9 nan
nan 9 6 5 6 8 10 13 14 14 11 8 7 6 7 8 10 12 13 13 12 12 12 12 11 11 11 10 10 9 8 7 7 6 6 5 5 4 5 7 9 10 11 11 13 15 15 13 9 6 4 4 5 7 7 6 4 4 5 7 9 9 8 7 7 7 7 6 5 3 2 2 3 4 4 5 6 8 9 9 9 10 11 12 11 7 3 2 3 6 11 14 16 17 17 16 16 16 15 16 15 14 12 9 7 7 8 8 7 6 4 4 3 3 4 4 4 3 3 2 2 2 2 3 4 5 6 7 7 7 7 7 8 9 10 11 12 11 9 7 7 10 15 21 25 26 22 18 15 13 11 10 7 6 5 5 6 7 8 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 9 9 9 nan
nan 10 8 7 9 11 12 14 14 14 12 10 9 9 9 10 11 12 12 11 10 10 11 11 11 10 10 10 10 9 8 7 6 6 5 6 7 8 9 11 11 11 9 8 10 12 13 12 10 8 5 5 6 7 8 8 6 6 6 7 9 10 8 7 6 6 6 5 3 1 1 1 2 3 4 5 6 8 9 9 8 8 8 9 9 6 2 1 2 6 10 14 15 16 15 15 16 16 16 16 16 15 13 10 8 7 7 7 6 5 3 3 3 3 3 2 2 2 2 2 1 1 2 3 4 5 6 8 8 8 7 6 7 7 8 8 10 10 10 10 10 12 15 19 22 22 18 14 11 10 9 8 6 4 3 4 6 7 8 9 9 9 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 nan
nan 9 9 9 10 11 12 13 13 12 11 10 11 11 11 11 11 11 10 9 8 8 9 10 11 11 10 10 9 9 8 7 6 5 5 6 8 10 12 13 13 11 8 7 7 9 11 11 10 8 7 6 7 8 8 9 7 6 6 7 8 9 8 7 5 5 5 4 2 0 -0 0 1 3 4 6 7 8 8 8 8 7 7 7 7 5 2 2 3 7 11 13 14 15 14 15 15 16 16 16 15 14 12 11 9 8 7 6 5 3 3 3 3 3 3 3 2 2 2 2 2 2 3 4 5 6 7 9 9 8 7 6 6 7 7 8 9 11 12 13 13 13 15 16 17 16 13 10 8 8 7 6 4 2 2 3 4 6 7 9 9 9 9 10 11 11 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 9 8 7 7 7 9 11 12 11 9 9 9 9 9 8 7 6 5 5 7 9 11 13 13 11 8 6 7 8 9 10 9 9 8 8 9 9 9 8 7 5 4 4 6 7 7 6 5 4 4 3 1 -0 -0 0 1 3 4 6 7 7 8 7 7 6 7 7 6 4 3 4 6 9 11 13 14 14 14 15 16 17 17 16 15 14 13 12 10 9 7 5 4 3 3 3 4 5 6 6 6 5 5 5 5 5 5 5 6 7 8 9 8 8 7 6 6 7 7 8 9 11 13 14 14 14 13 13 12 11 10 8 8 8 7 5 2 1 1 2 3 5 7 9 10 10 10 11 11 12 12 11 10 9 9 8 8 8 8 9 9 10 11 12 12 12 11 11 11 11 11 11 11 10 nan
nan 7 7 8 9 9 8 8 8 8 9 10 11 12 13 12 11 9 7 7 7 7 9 11 12 11 9 9 9 10 11 10 9 8 6 6 6 7 9 11 11 11 9 7 6 7 8 8 8 8 8 9 10 10 9 8 7 5 2 2 3 5 5 5 4 4 4 3 2 1 1 2 2 3 5 5 6 6 6 5 5 6 6 6 5 5 5 7 8 10 11 12 12 13 14 15 16 18 18 18 17 16 16 14 12 10 7 5 3 3 3 5 7 9 10 11 10 10 9 9 8 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 9 10 11 13 13 13 11 10 8 8 8 8 8 8 6 3 -0 -1 -0 1 3 5 7 9 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 7 8 9 10 12 12 13 13 13 12 12 12 12 11 10 nan
nan 6 6 7 8 9 9 8 8 7 8 9 11 12 12 12 11 10 8 8 7 7 8 9 11 10 9 9 10 11 12 11 10 8 7 6 6 7 8 9 10 10 9 8 6 6 6 6 7 8 9 9 10 10 9 8 8 6 3 3 3 3 3 4 4 5 5 5 4 3 3 4 4 5 6 7 6 5 4 3 4 5 6 6 5 6 7 8 10 10 10 10 11 12 14 15 16 17 18 19 19 18 17 15 13 10 8 6 5 4 5 7 9 11 13 14 14 14 13 12 11 11 10 10 10 11 12 12 11 9 7 7 7 7 7 7 7 7 8 9 9 10 9 7 6 6 7 8 8 8 5 1 -2 -3 -1 2 4 6 8 9 10 10 10 10 10 9 9 8 8 7 7 6 5 5 5 5 6 7 8 10 12 13 14 14 14 13 13 12 11 11 nan
nan 8 7 7 9 10 11 10 8 7 8 9 10 11 12 12 12 11 10 9 8 7 7 7 8 8 8 9 10 10 11 10 9 7 6 5 5 6 7 8 9 10 10 9 8 6 5 5 6 8 11 11 11 10 9 9 8 7 5 3 3 3 3 3 5 6 7 7 7 6 6 7 8 9 10 10 8 7 5 3 4 5 7 7 6 7 8 10 10 10 9 9 9 11 13 14 16 17 17 17 17 17 16 14 11 9 8 6 6 6 7 9 11 14 15 16 16 15 15 14 13 12 12 12 13 15 16 16 15 14 11 10 9 8 7 6 5 5 4 5 7 7 7 7 6 6 7 7 7 5 2 -1 -2 -1 3 6 8 9 9 10 10 9 9 8 8 8 7 7 6 6 5 4 4 3 3 4 4 5 7 9 10 12 13 14 14 13 13 12 12 11 nan
nan 11 10 9 10 11 12 11 9 8 9 10 10 10 11 12 12 12 11 9 8 7 7 7 7 7 7 7 8 8 9 8 7 5 5 4 3 4 4 6 7 9 11 10 10 8 6 5 6 9 12 13 11 10 9 8 8 7 5 4 3 3 3 4 5 7 8 9 9 9 10 10 11 13 14 14 13 11 9 7 7 8 9 9 8 9 10 11 11 11 9 8 8 9 11 13 15 16 17 16 16 14 13 11 9 8 7 6 6 7 8 11 13 15 16 16 15 15 14 13 12 12 12 14 16 17 17 17 17 17 16 14 12 11 9 7 6 5 4 5 7 8 8 8 8 8 8 7 5 2 -0 -1 1 5 10 13 13 12 11 10 9 8 7 7 6 6 6 5 5 4 3 3 3 3 3 4 5 6 7 8 10 12 13 13 13 13 12 12 11 11 nan
nan 13 12 12 12 12 12 11 9 8 8 10 10 10 10 11 12 12 11 10 8 8 7 7 8 7 7 7 7 7 7 7 6 5 4 3 2 2 2 3 4 6 9 10 11 10 9 7 7 9 11 12 10 8 7 7 6 5 4 3 3 3 4 5 7 9 11 11 12 13 13 14 16 17 18 19 18 17 15 14 13 12 12 11 11 11 12 13 13 13 11 8 6 7 9 12 15 16 17 16 14 12 11 9 8 7 6 6 6 7 8 11 13 15 15 15 14 14 13 12 11 10 11 14 15 15 13 13 12 14 17 17 15 13 11 9 8 7 7 8 9 10 11 12 11 11 10 8 6 4 3 5 8 11 14 15 14 13 11 10 8 7 6 6 5 5 4 4 3 2 2 2 2 3 4 5 6 7 7 8 10 11 12 12 12 12 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
30 30 30 29 29 27 28 29 29 29 27 25 24 23 22 23 23 22 21 22 22 22 21 21 20 19 20 20 19 17 16 15 14 12 11 11 12 13 13 13 15 15 14 14 14 13 11 9 9 10 10 10 12 14 14 11 10 9 9 10 12 15 14 13 15 18 13 9 7 4 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 11 121 339 477 420 264 178 292 608 982 1280 1611 2066 2371 2603 2743 2757 2680 2583 2458 2210 1884 1604 1281 1205 1373 1691 2049 2328 2501 2601
32 32 31 30 29 29 29 29 29 28 26 25 25 25 25 27 26 24 22 22 22 21 19 21 21 20 20 19 18 16 13 10 9 8 8 9 9 10 11 11 12 13 12 13 15 14 12 10 10 11 11 11 13 16 15 13 12 11 9 9 12 15 13 14 17 16 11 8 5 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 8 69 361 548 435 254 237 453 796 1129 1414 1735 2003 2289 2539 2676 2697 2662 2625 2562 2383 2088 1770 1492 1388 1558 1889 2185 2391 2545 2623
33 34 32 31 31 30 29 28 28 27 25 26 27 27 27 28 27 26 25 24 24 23 21 21 20 20 20 20 18 16 13 9 8 8 9 9 8 8 8 9 11 12 14 15 17 16 14 12 11 10 10 11 12 15 16 14 13 12 11 9 11 12 12 16 18 15 9 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 3 48 295 512 394 242 238 442 758 1069 1361 1691 1988 2321 2517 2633 2665 2652 2653 2663 2587 2375 2080 1862 1728 1768 2006 2268 2443 2571 2668
34 33 31 30 30 30 30 29 29 29 28 28 29 29 28 27 27 26 25 25 24 23 22 21 21 21 21 20 18 17 15 12 11 12 12 11 10 9 8 9 12 14 15 15 18 17 15 13 12 11 12 12 12 14 15 14 14 15 12 10 11 11 12 14 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 42 214 438 355 264 225 371 648 931 1126 1336 1735 2205 2451 2616 2680 2675 2672 2706 2719 2614 2379 2149 1966 1904 2098 2357 2519 2615 2718
33 32 31 30 29 29 30 30 30 30 31 30 30 29 29 28 27 26 25 25 23 22 22 21 21 21 20 19 17 17 16 15 14 16 16 15 13 11 10 11 13 16 16 15 17 16 14 13 12 12 12 12 13 14 15 14 16 16 13 10 9 12 14 14 15 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 39 187 428 387 368 390 644 958 1143 1149 1128 1365 1911 2290 2562 2698 2734 2747 2787 2826 2782 2606 2367 2117 2024 2247 2481 2610 2694 2768
32 32 31 30 30 30 31 31 31 33 33 31 30 30 29 28 27 26 25 24 23 22 21 22 21 20 19 19 18 18 17 17 16 17 17 17 16 14 13 12 14 15 16 16 16 15 14 13 12 12 12 14 16 16 16 15 16 18 13 10 12 15 17 16 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 46 34 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 35 185 450 444 455 588 947 1202 1258 1204 1153 1280 1768 2182 2483 2668 2743 2785 2830 2884 2892 2753 2470 2090 2118 2372 2574 2688 2764 2824
31 31 31 31 31 32 33 32 31 32 32 31 31 30 29 27 26 26 25 24 23 22 20 21 20 19 19 19 19 18 18 18 17 17 17 17 16 15 15 14 14 14 14 14 15 15 15 14 12 11 12 15 17 16 15 15 16 18 11 11 15 16 16 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 37 57 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 132 334 361 365 594 886 1073 1088 1031 1023 1178 1585 1986 2304 2560 2684 2753 2809 2893 2949 2833 2551 2220 2341 2503 2642 2740 2811 2866
31 31 31 31 32 32 33 33 32 33 32 32 31 30 27 24 24 25 25 23 22 21 20 20 19 19 19 19 19 19 18 17 17 17 16 16 15 15 15 15 14 12 12 12 13 14 14 13 12 11 12 14 16 16 16 16 16 15 11 13 19 17 15 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 32 33 10 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 3 46 126 162 187 386 612 763 852 905 970 1139 1459 1802 2102 2417 2597 2694 2768 2885 2965 2862 2609 2393 2467 2594 2709 2799 2865 2914
31 32 32 32 32 32 32 33 33 33 32 32 31 29 25 22 23 24 23 22 21 21 20 20 20 20 20 20 19 19 18 18 17 17 16 16 16 16 16 16 14 12 12 12 13 14 13 12 11 10 11 14 16 17 18 17 15 12 9 15 21 15 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 50 62 25 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 36 58 77 177 361 569 743 853 949 1106 1364 1681 1985 2296 2502 2631 2741 2873 2935 2848 2677 2555 2568 2669 2768 2845 2906 2960
32 32 32 32 33 33 33 32 32 33 32 31 29 26 22 21 23 23 21 21 21 20 20 20 20 21 21 21 20 19 19 18 17 16 16 16 16 16 16 15 14 13 13 13 14 16 14 12 11 11 12 14 17 19 18 16 13 11 11 15 17 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 31 102 83 24 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 3 14 27 38 76 186 368 550 712 868 1052 1309 1630 1936 2208 2405 2559 2702 2825 2869 2820 2737 2678 2675 2745 2822 2887 2948 3004
32 32 32 32 32 32 32 32 31 31 30 29 28 23 26 26 24 22 21 21 21 20 19 20 20 21 21 21 21 21 20 19 19 17 17 17 17 17 16 15 15 15 14 14 16 17 17 15 13 13 13 15 18 19 18 16 14 14 15 15 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 61 74 165 104 30 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 3 10 19 36 85 175 309 507 754 1058 1399 1731 2001 2192 2360 2511 2652 2753 2785 2765 2737 2736 2766 2818 2873 2921 2979 3041
32 32 32 32 32 32 32 31 30 30 29 29 27 23 23 24 23 23 22 22 22 22 21 21 20 19 20 21 21 21 20 20 20 19 18 17 17 17 17 17 16 16 15 15 16 16 17 16 15 16 17 19 20 19 20 19 15 17 19 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 28 84 146 139 206 108 32 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 0 0 0 0 0 0 0 0 0 0 2 7 17 36 65 114 282 705 1251 1709 2004 2180 2279 2385 2489 2584 2649 2677 2691 2712 2745 2788 2842 2900 2948 3013 3085
31 31 32 32 32 32 31 30 29 29 28 28 26 25 26 24 24 24 23 23 23 23 22 21 20 20 20 21 21 21 21 20 20 20 19 18 17 17 17 16 16 16 15 16 16 15 16 15 15 16 17 17 17 18 20 20 17 19 21 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 88 184 222 188 167 76 20 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 2 8 21 32 36 151 715 1428 1922 2169 2289 2344 2372 2412 2465 2515 2562 2616 2680 2744 2796 2845 2902 2964 3020 3095
31 31 31 31 32 32 31 29 28 28 29 28 25 25 24 24 24 25 24 23 23 23 22 21 21 19 19 20 20 21 21 21 20 20 20 19 18 17 16 16 15 15 15 16 15 16 16 15 16 16 17 17 17 18 21 21 20 21 21 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 141 262 267 193 121 48 9 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 1 4 12 19 16 72 706 1356 1798 2056 2205 2272 2275 2284 2328 2394 2473 2562 2657 2742 2805 2849 2897 2973 3035 3111
29 29 29 30 30 31 30 29 29 29 29 27 26 25 24 25 25 25 25 24 22 21 20 20 20 20 19 21 20 20 21 20 20 20 20 19 18 17 16 15 15 15 15 15 16 17 16 16 16 15 16 17 16 18 21 21 22 22 17 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 120 266 269 186 99 32 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 44 640 1176 1531 1788 1985 2106 2149 2173 2229 2320 2426 2535 2642 2736 2805 2848 2893 2970 3026 3115
28 27 26 26 28 29 28 28 28 28 28 27 26 27 25 24 25 24 23 22 22 22 21 19 19 19 21 22 21 20 20 20 20 20 19 19 18 17 16 15 15 15 16 16 16 16 15 16 16 15 15 15 15 18 20 21 23 23 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 38 130 153 108 48 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 1 6 68 548 979 1267 1509 1737 1920 2035 2108 2186 2292 2408 2520 2622 2715 2791 2844 2893 2963 3030 3103
27 25 23 23 25 26 26 26 27 27 27 27 26 27 27 25 24 22 21 20 20 21 20 19 18 19 19 20 20 21 20 20 19 19 19 19 18 18 17 16 16 16 16 16 16 16 15 16 17 17 15 15 17 20 20 21 24 23 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 11 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 7 81 446 798 1040 1270 1518 1754 1940 2075 2186 2303 2415 2520 2614 2695 2768 2832 2892 2956 3018 3094
26 23 21 22 23 24 24 24 25 26 27 27 26 26 27 25 22 20 18 18 19 20 20 19 18 19 19 19 20 20 20 20 19 19 19 19 19 19 18 17 16 15 16 16 16 16 16 16 17 16 16 17 21 23 22 23 27 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 79 339 634 853 1082 1345 1612 1852 2049 2204 2340 2458 2550 2626 2684 2747 2821 2893 2960 3025 3085
24 22 22 21 20 21 22 23 24 25 26 26 26 27 27 25 21 19 18 17 17 18 18 18 18 18 18 18 19 19 20 19 18 18 18 19 20 20 19 18 17 16 16 17 17 16 16 16 16 16 16 19 21 21 21 23 28 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 65 239 485 705 942 1210 1490 1764 2011 2214 2383 2512 2591 2649 2693 2750 2824 2903 2979 3042 3087
22 21 20 20 17 19 21 23 24 25 25 25 26 27 27 24 20 18 17 16 16 15 16 17 17 17 16 17 18 19 19 19 18 17 17 18 19 19 19 18 18 17 17 18 17 17 16 16 16 17 15 18 19 18 20 25 27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 48 169 373 593 823 1085 1372 1667 1943 2187 2395 2538 2624 2681 2720 2768 2830 2896 2964 3029 3071
21 21 20 20 19 19 21 22 23 24 24 24 24 25 25 23 20 18 17 16 15 15 15 16 17 17 16 16 17 18 19 19 19 18 17 18 19 19 19 19 18 18 17 19 18 18 17 17 17 18 17 18 21 18 21 27 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 42 128 282 484 707 955 1248 1553 1844 2112 2352 2533 2645 2715 2761 2802 2844 2887 2938 3003 3048
21 20 21 21 20 20 21 22 21 20 20 20 20 21 20 20 19 18 18 18 17 15 14 15 16 16 16 16 17 18 18 19 19 18 18 19 19 19 18 18 18 18 18 19 19 18 18 17 18 19 19 21 23 19 23 28 20 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 20 54 118 236 419 616 841 1122 1421 1720 2008 2271 2487 2637 2734 2798 2841 2878 2905 2939 2993 3034
19 18 19 19 20 20 21 21 19 16 15 15 15 16 15 15 16 16 17 18 18 16 14 14 16 17 17 17 17 18 18 19 19 19 19 19 19 19 18 18 19 18 19 19 18 18 18 17 19 21 22 23 24 24 26 23 15 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 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 30 82 148 249 413 562 753 1001 1283 1576 1871 2152 2396 2588 2730 2816 2876 2918 2939 2961 2997 3024
18 18 18 18 19 20 20 18 16 15 13 13 13 11 11 12 14 15 16 19 19 17 15 14 16 18 18 17 17 18 18 18 19 19 19 19 18 18 18 18 19 19 18 18 18 19 18 18 19 23 25 24 24 27 27 19 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 93 175 277 424 548 696 901 1154 1429 1718 2010 2286 2520 2699 2805 2895 2942 2962 2986 3016 3034
17 17 17 18 19 20 18 17 16 14 13 12 13 12 11 12 13 14 16 20 20 18 16 15 17 18 18 17 18 18 19 19 19 19 18 18 18 18 18 18 19 20 19 19 19 19 19 20 19 23 26 26 28 31 29 19 10 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 4 84 195 312 431 550 670 835 1049 1289 1563 1867 2166 2422 2630 2758 2877 2929 2957 2989 3020 3042
16 16 18 19 19 20 17 17 16 15 13 12 12 12 10 12 13 14 16 19 21 18 16 16 17 18 18 17 19 19 19 19 19 19 18 18 18 18 18 18 19 20 21 20 20 20 21 21 20 22 27 29 31 34 30 19 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 71 197 341 470 569 659 780 950 1160 1411 1700 2004 2287 2521 2686 2817 2883 2930 2971 3001 3019
17 17 18 20 21 20 17 17 16 14 13 12 12 12 11 12 14 15 16 17 18 17 17 17 18 18 18 18 20 20 19 19 18 18 18 18 19 18 18 19 19 20 21 21 21 22 23 21 19 21 27 32 32 30 27 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 50 203 387 532 620 680 746 870 1048 1257 1514 1810 2103 2351 2555 2714 2812 2885 2936 2967 2985
17 18 18 18 19 18 17 16 16 15 14 13 12 11 11 12 14 15 16 17 16 15 16 17 19 19 18 19 20 20 19 18 18 18 18 19 19 19 19 19 20 21 21 21 22 22 23 21 21 24 29 33 34 28 23 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 78 225 393 545 656 718 758 819 944 1107 1326 1593 1869 2124 2363 2570 2714 2818 2890 2933 2959
17 18 19 17 16 16 16 15 13 13 12 12 11 11 11 13 14 15 17 18 16 15 16 18 19 19 19 20 20 19 18 18 18 18 19 19 19 19 19 19 21 20 20 21 23 23 23 22 24 29 33 35 33 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 59 156 324 523 681 763 798 818 878 1017 1186 1399 1636 1882 2136 2374 2566 2713 2822 2896 2937
17 18 18 16 14 13 14 12 12 12 11 10 10 10 12 13 15 16 17 17 16 17 18 20 20 19 20 20 19 18 18 18 18 18 18 18 18 18 18 19 20 19 18 21 22 23 25 24 24 31 37 37 33 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 25 76 161 287 482 694 817 829 851 869 967 1097 1258 1442 1654 1895 2143 2368 2558 2710 2824 2893
18 17 16 14 12 11 11 10 10 10 10 10 11 12 14 15 16 17 17 16 16 19 20 21 21 20 19 20 18 18 17 17 17 16 16 17 17 18 18 18 18 17 17 21 22 21 20 21 25 32 38 38 34 25 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 6 35 105 196 281 454 674 803 830 875 912 976 1058 1165 1297 1463 1667 1898 2131 2360 2553 2715 2833
16 14 13 11 9 8 8 9 9 9 10 11 12 14 14 15 17 18 17 17 20 22 22 21 20 19 19 18 18 17 16 16 16 15 16 17 17 17 18 17 17 17 17 21 22 22 20 23 29 36 38 37 34 24 11 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 6 34 108 223 296 436 630 776 845 887 937 991 1045 1114 1203 1318 1469 1659 1872 2120 2349 2552 2710
13 11 11 9 8 7 7 8 8 9 10 12 14 15 17 18 19 19 18 19 20 20 20 20 19 18 17 16 16 16 15 15 16 15 16 16 17 17 17 18 18 17 18 21 24 24 25 30 34 35 35 34 31 20 9 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 4 27 98 236 346 444 592 752 855 897 938 989 1036 1084 1138 1205 1300 1435 1615 1854 2109 2337 2527
11 9 9 9 8 8 7 7 8 9 11 13 14 16 18 20 21 20 19 18 19 20 20 19 18 17 16 15 14 14 13 13 14 14 15 16 17 17 18 19 19 19 20 22 25 27 31 34 32 27 25 25 23 16 9 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 3 24 108 284 435 544 650 759 848 909 952 985 1018 1063 1095 1124 1168 1252 1394 1600 1850 2096 2317
9 8 8 8 8 9 8 8 9 11 13 14 15 17 19 20 21 20 18 17 18 19 18 17 16 16 15 13 13 12 11 11 11 13 14 16 17 17 18 18 19 20 22 24 28 33 34 28 21 16 15 16 17 14 8 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 3 23 115 296 454 606 744 804 840 894 949 972 983 1039 1053 1068 1090 1142 1243 1395 1602 1837 2073
7 6 6 6 7 8 8 9 11 13 14 15 16 17 18 18 19 18 17 16 18 18 17 16 15 14 14 12 11 9 8 8 9 12 14 15 16 16 16 18 19 20 23 23 26 27 23 16 11 10 10 12 13 12 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 0 0 0 0 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 44 142 273 457 706 789 802 854 929 958 952 990 995 1014 1044 1091 1160 1254 1393 1579 1802
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