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 nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 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 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 11 13 15 14 13 14 17 18 18 15 8 1 -3 -4 -2 0 2 4 5 7 9 10 12 13 14 14 12 9 7 7 8 8 9 10 10 9 7 6 6 7 8 9 10 11 13 14 14 13 12 11 10 10 10 12 12 12 11 9 8 8 9 10 11 13 14 16 18 18 16 14 12 11 10 8 7 6 5 5 5 5 4 5 5 6 7 8 8 8 8 9 9 10 10 9 nan
nan 9 9 9 8 8 8 8 8 9 10 10 10 9 8 7 6 7 7 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 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 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 11 13 14 14 14 13 14 16 18 17 13 6 -1 -4 -3 -1 2 4 5 7 9 11 12 13 15 15 14 12 9 6 5 6 7 8 10 10 9 7 6 6 6 6 7 8 8 9 10 10 9 9 9 8 8 7 8 8 8 8 8 7 7 8 10 12 14 16 18 19 18 16 13 10 9 7 5 4 4 3 3 3 3 4 4 5 6 7 8 8 7 6 5 4 4 4 4 nan
nan 10 9 9 9 8 8 8 9 9 10 10 9 8 7 7 6 7 8 8 9 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 11 13 14 13 12 13 14 16 17 16 11 4 -1 -3 -1 1 3 5 7 9 11 12 14 15 16 16 14 11 8 5 4 5 6 8 10 10 9 8 6 5 4 5 5 5 6 6 6 7 7 7 7 6 6 5 6 7 7 8 7 6 5 5 7 9 12 14 16 16 14 11 9 7 5 3 2 1 1 0 1 0 0 1 2 4 6 7 8 8 7 5 3 0 -1 -1 -2 nan
nan 10 9 9 9 8 8 9 9 9 9 9 8 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 11 12 13 12 12 13 14 15 16 15 10 4 -1 -1 1 3 5 7 9 11 13 14 15 16 17 16 14 10 7 5 4 5 6 8 10 10 10 9 7 5 4 4 4 4 4 5 5 6 7 7 6 6 5 6 7 8 9 8 6 4 3 3 4 6 8 10 11 10 8 6 5 4 2 -1 -2 -3 -3 -2 -2 -3 -4 -4 -2 0 3 6 8 8 8 7 4 2 -1 -3 -6 nan
nan 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 11 7 3 1 1 3 5 7 9 11 13 14 14 15 16 16 15 13 10 8 6 5 6 7 9 10 10 10 10 9 8 6 5 4 4 5 5 6 6 7 7 7 7 7 8 10 12 11 9 5 2 1 1 2 3 4 6 6 5 3 2 2 1 -1 -3 -5 -5 -5 -4 -5 -6 -8 -9 -7 -4 0 5 8 10 10 10 8 5 2 -2 -6 nan
nan 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 10 9 9 12 14 16 15 14 11 7 4 3 2 3 5 6 8 10 13 14 15 14 14 14 14 13 12 10 9 8 7 8 9 10 10 10 10 11 11 11 9 7 6 5 5 6 7 7 7 8 8 9 10 12 14 14 12 8 4 2 2 2 2 3 4 4 3 2 2 2 1 -1 -2 -3 -4 -4 -4 -5 -7 -9 -12 -13 -12 -8 -2 3 8 11 13 13 11 8 4 1 -3 nan
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nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 13 14 18 24 28 30 26 18 12 8 6 6 8 11 15 17 16 15 14 13 13 13 12 11 10 12 15 19 22 24 24 22 20 17 13 9 6 6 9 11 11 9 7 6 5 6 7 9 10 10 9 7 5 5 5 6 6 7 7 7 8 8 8 9 10 11 12 13 12 10 9 9 9 10 11 11 11 11 10 9 8 8 9 9 9 7 7 7 7 8 10 13 14 14 13 12 11 11 10 10 9 8 6 5 4 3 3 3 3 5 7 8 8 8 7 7 8 8 9 8 7 6 6 7 7 7 7 7 7 8 8 8 7 5 3 1 1 4 10 14 17 19 19 17 16 14 13 12 11 10 8 5 5 8 13 21 29 34 35 34 29 23 nan
nan 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 13 14 17 23 27 27 25 17 10 7 6 6 8 11 14 16 15 13 13 13 13 13 13 13 13 13 13 15 18 20 21 19 16 12 8 6 4 5 7 9 10 9 8 8 8 9 9 10 11 11 10 8 7 6 7 8 9 10 10 9 8 8 7 7 8 9 10 10 10 8 8 8 9 10 10 10 10 9 9 8 7 7 8 8 8 8 7 7 8 9 11 12 13 14 14 13 12 12 11 11 10 9 8 7 7 7 7 5 5 5 6 7 8 8 6 6 6 6 6 5 4 4 5 7 8 9 10 9 9 9 9 9 8 6 4 3 3 7 13 17 20 20 20 18 15 13 12 11 9 7 5 2 2 7 13 20 27 31 31 30 27 23 nan
nan 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 14 17 22 26 26 23 17 9 6 5 6 7 10 13 15 15 14 14 13 13 14 14 14 13 11 11 11 13 15 16 13 10 7 5 4 5 6 8 9 9 10 10 11 11 11 10 10 10 10 10 10 9 8 9 10 12 12 12 11 9 8 7 7 7 7 7 7 7 7 7 8 10 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 11 11 12 13 14 14 14 12 11 10 10 10 8 7 8 9 10 9 7 6 6 7 8 8 7 6 5 5 5 5 5 5 6 8 9 9 9 9 8 7 7 7 8 8 8 9 11 14 18 21 22 22 20 17 14 12 11 10 8 6 4 3 3 7 11 16 21 25 25 25 24 22 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 11 11 11 11 12 13 14 17 22 27 30 26 19 11 6 5 6 6 9 13 16 17 16 15 14 14 14 14 14 12 11 10 11 12 13 12 9 6 5 4 5 8 10 11 11 11 12 14 15 13 10 9 8 9 9 9 9 10 10 10 10 11 12 12 11 10 9 8 8 7 7 6 6 6 6 7 9 10 11 11 10 8 8 7 7 7 7 7 7 7 8 8 8 8 10 10 10 9 10 12 14 15 13 10 10 10 10 9 8 8 10 12 12 10 8 6 6 7 7 7 6 6 6 7 8 8 8 8 8 9 9 8 7 6 5 4 4 6 9 12 15 18 21 23 24 24 22 20 16 12 10 9 8 7 5 4 5 6 8 12 15 18 21 22 22 22 20 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 14 17 23 29 33 31 23 15 8 6 6 7 9 13 17 19 19 17 15 14 14 14 14 13 12 12 13 14 12 9 7 5 5 6 8 12 14 15 15 14 15 17 17 14 11 9 9 9 8 8 9 9 9 9 9 9 10 11 12 12 11 10 9 8 7 6 6 6 7 8 9 11 11 11 10 8 7 7 7 7 7 7 7 7 8 8 8 9 10 9 8 7 7 10 12 13 12 10 9 9 9 9 9 10 12 13 13 12 10 8 6 6 7 7 7 7 7 8 9 10 9 8 8 8 8 8 7 6 5 4 5 7 10 14 18 21 23 23 24 23 21 18 14 11 8 6 5 4 3 3 5 7 10 13 15 18 20 21 21 20 19 nan
nan 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 16 22 28 32 33 26 16 10 6 6 7 9 12 16 19 20 19 18 16 15 14 14 14 14 15 15 15 12 8 5 5 7 10 12 14 17 17 17 17 17 17 16 13 11 11 11 10 9 8 8 8 7 7 6 7 9 12 14 13 12 10 8 7 6 7 7 8 8 9 10 11 11 11 10 8 6 6 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 9 10 11 11 11 10 9 8 9 10 11 12 13 13 12 10 9 8 7 8 8 8 8 8 8 9 10 10 8 8 7 7 8 8 8 8 8 9 10 13 17 20 21 21 21 21 20 18 16 12 8 4 1 -1 -2 -1 2 5 9 12 14 15 17 19 20 19 19 18 nan
nan 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 14 16 20 27 31 31 27 16 8 6 6 7 9 12 15 18 20 20 19 17 16 15 15 15 15 16 16 15 12 7 5 6 8 11 13 15 16 16 15 15 15 14 12 10 10 12 13 12 10 8 7 7 7 6 6 7 10 14 15 12 9 6 4 4 4 5 6 8 9 10 10 10 11 11 10 9 7 7 7 8 8 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 10 12 12 12 11 10 9 8 8 9 10 9 9 8 8 10 11 12 11 10 9 9 8 8 9 9 10 10 12 17 21 24 22 20 18 17 16 14 12 9 5 -0 -5 -7 -8 -3 3 8 10 12 13 13 15 17 18 19 18 18 nan
nan 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 11 12 13 15 19 25 30 30 26 15 7 5 5 6 8 11 14 16 18 18 18 17 16 16 16 16 15 15 14 13 11 8 6 6 7 9 12 14 14 14 13 13 12 10 9 7 8 10 12 12 10 9 7 6 6 7 8 10 14 16 15 9 4 2 1 1 2 2 4 7 9 10 10 10 10 11 10 9 7 6 7 7 8 8 8 9 9 10 10 10 9 9 9 11 12 13 12 10 10 10 11 11 10 9 8 8 10 11 11 11 10 8 8 8 9 9 9 8 7 8 10 12 13 14 14 13 12 11 10 8 8 8 8 11 18 25 28 25 21 17 14 12 10 7 5 3 -2 -8 -11 -11 -4 5 11 12 12 11 11 12 14 17 18 18 17 nan
nan 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 15 19 24 29 29 24 16 8 5 4 4 6 9 12 15 16 15 15 14 14 16 16 15 13 12 11 11 11 10 8 6 6 8 10 12 12 12 12 13 12 11 10 8 8 8 10 11 11 10 7 5 5 8 11 14 19 20 15 7 1 -1 -0 1 2 2 4 7 9 10 9 9 9 11 10 8 6 5 6 7 8 8 8 9 10 11 11 10 9 9 10 12 14 15 14 12 9 9 10 12 12 12 11 10 9 10 10 11 11 9 8 8 9 9 8 7 6 8 11 12 13 14 14 14 14 13 11 10 8 7 7 9 18 26 30 29 24 17 12 8 4 2 2 2 -1 -8 -12 -11 -5 4 10 12 12 10 9 11 13 15 16 17 17 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 14 18 23 28 30 25 18 12 7 5 4 4 6 11 13 14 13 12 12 12 14 15 14 13 12 11 13 14 13 10 7 6 7 8 10 10 10 12 14 15 15 14 11 9 9 9 10 11 9 7 5 6 9 14 18 22 22 14 4 -2 -4 -1 2 5 6 8 9 10 10 9 8 9 11 10 8 7 6 6 8 8 8 9 9 11 11 11 10 9 10 11 12 15 16 15 12 9 7 8 10 12 14 15 14 13 11 11 11 11 11 10 10 10 9 8 7 7 8 11 13 13 13 12 11 11 12 12 11 9 8 7 9 17 26 31 31 27 18 10 4 -1 -1 1 2 2 -5 -11 -11 -7 0 7 10 11 10 9 10 12 13 15 16 16 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 17 23 28 31 29 21 14 9 6 5 4 6 9 12 13 13 13 13 15 17 18 18 17 16 16 17 18 16 13 10 7 6 6 6 7 8 9 11 14 15 15 13 12 11 12 12 12 11 9 8 9 11 16 20 23 20 11 1 -5 -6 -2 4 9 12 13 12 11 10 9 8 9 10 10 9 8 8 8 9 9 9 9 10 11 11 11 10 10 9 10 11 13 15 13 10 7 5 6 7 10 14 18 19 18 16 14 12 12 12 12 11 11 10 8 7 6 7 10 13 14 14 11 8 6 7 8 9 9 9 9 11 18 26 30 31 27 17 8 1 -3 -2 1 4 5 0 -7 -7 -6 -2 5 8 10 10 10 11 12 13 14 15 15 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 16 22 29 31 31 23 14 10 7 6 5 5 8 11 13 14 16 18 20 22 24 24 22 21 20 19 18 17 15 13 9 6 5 4 5 6 6 7 9 11 12 13 13 14 14 14 14 13 13 14 14 15 17 20 20 17 8 -2 -6 -6 -2 6 13 16 16 14 12 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 8 9 10 11 11 9 7 6 5 6 8 12 17 19 20 18 15 14 13 13 13 12 12 11 8 5 3 4 6 10 14 15 13 8 4 2 3 4 6 8 10 13 18 25 28 27 24 15 6 0 -3 -2 1 5 7 4 -1 -3 -3 -1 4 8 10 11 12 12 13 13 13 14 15 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 15 20 27 32 30 23 15 10 8 6 5 6 8 11 13 15 17 19 21 22 24 23 21 19 17 15 14 14 14 14 12 10 7 7 7 6 7 7 7 8 9 11 12 13 13 13 13 14 17 19 19 19 18 19 18 13 7 -0 -4 -3 1 9 17 19 19 16 13 11 10 10 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 7 8 9 9 9 9 8 6 6 7 10 13 16 17 16 14 13 12 11 11 11 12 11 10 6 3 2 3 6 11 14 13 9 4 0 -1 -1 0 4 9 12 15 20 22 22 20 13 6 1 -2 -2 1 5 8 7 4 1 0 1 4 7 10 12 13 14 14 14 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
28 28 29 31 33 34 34 34 36 38 37 36 32 24 19 16 15 15 13 12 15 18 18 17 13 8 5 5 4 4 4 4 5 6 7 8 9 10 10 9 9 9 10 13 24 25 20 19 19 18 18 19 19 15 13 13 12 12 13 12 13 13 12 12 12 12 12 12 11 11 10 9 8 7 7 6 8 9 8 7 6 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 0 0 6 70 180 288 434 419 237 74 10 0 0 0 0 0 0 9 12 21 79 174 238 274 308 341 358 347 311 270 248 244 253 248 241 243 254 271 310 389 502 663 861 1033 1136 1176 1191 1196 1175 1152 1196 1292 1361 1360 1291 1214 1191 1187 1160 1105 1034 976 957 965 855 574 295 146 86 52 27 24 37 49 59 73 95 132 190 275 380 485 565 602 589 548 493 419 327 215 137
30 31 31 34 34 34 34 36 40 42 39 37 32 25 18 13 12 12 11 12 14 17 18 18 15 9 6 5 5 4 3 4 5 5 5 6 7 11 12 10 9 9 10 14 20 20 16 20 21 18 17 18 18 17 15 15 14 14 14 12 13 12 12 11 11 11 11 10 11 9 8 8 7 6 6 7 8 7 6 5 5 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 1 0 0 28 131 291 448 524 388 149 25 1 0 0 0 0 0 0 0 3 57 149 241 292 317 339 357 366 357 336 311 287 266 266 271 266 257 248 245 263 321 422 563 732 892 1004 1066 1106 1147 1164 1136 1141 1205 1268 1268 1205 1149 1146 1178 1181 1146 1084 1023 968 896 706 387 143 43 18 13 12 17 26 30 30 33 43 62 98 158 247 363 484 559 559 514 450 371 286 192 114
31 32 33 35 30 30 33 37 41 43 40 37 27 21 15 11 9 9 9 11 13 16 18 17 13 8 5 4 4 4 3 3 5 5 5 5 7 10 11 10 9 8 9 15 18 15 14 19 18 16 17 17 16 15 14 13 13 14 13 12 12 12 12 11 10 11 11 10 9 8 9 8 6 6 6 7 7 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 1 0 0 0 54 217 392 534 513 294 73 2 0 0 0 0 0 0 0 0 30 127 233 307 341 355 368 378 378 369 360 352 333 303 293 300 289 260 233 220 231 280 368 473 570 656 742 828 915 995 1042 1042 1035 1074 1135 1152 1112 1066 1056 1064 1044 1002 955 897 805 650 423 173 53 15 3 1 0 2 7 10 7 10 16 26 43 74 126 209 321 440 491 476 420 341 255 171 98
28 29 31 31 28 28 30 34 39 41 38 32 22 20 12 10 9 8 9 11 13 18 20 17 11 7 6 4 4 3 3 4 4 5 4 5 7 9 10 9 9 8 10 14 14 13 13 15 15 15 16 17 16 14 14 12 12 14 13 12 12 12 12 11 10 10 10 10 9 9 9 7 6 6 5 5 5 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 1 0 0 0 11 81 351 496 557 425 185 20 0 0 0 0 0 0 0 5 27 107 214 309 364 385 394 402 407 396 378 370 372 360 336 321 320 304 265 227 203 201 232 289 343 376 432 499 588 696 801 878 916 922 966 1047 1076 1032 964 915 875 818 777 753 689 552 365 183 66 32 23 13 4 1 1 0 0 1 3 6 8 17 35 62 105 172 276 367 422 421 374 296 206 126
23 21 24 23 24 24 24 29 33 35 31 24 18 15 10 10 10 10 11 12 15 19 21 15 9 7 7 6 5 4 4 5 6 5 4 5 9 9 8 9 9 9 9 12 12 10 12 16 19 16 14 16 16 15 13 12 12 13 12 12 12 12 12 11 10 9 10 9 8 8 8 7 6 6 6 6 6 7 6 5 5 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 2 1 0 0 0 17 126 438 591 538 317 101 0 0 0 0 0 0 0 3 29 95 187 274 350 394 413 421 424 416 391 365 359 370 366 351 342 342 329 295 247 203 182 197 239 287 328 383 429 471 539 624 714 790 834 915 998 998 931 852 783 711 628 578 562 489 350 202 100 65 64 57 38 23 16 12 9 6 4 1 1 1 5 16 35 61 99 163 237 321 380 411 382 296 196
20 21 25 23 22 21 23 25 27 26 23 18 14 11 9 10 12 13 13 14 15 17 18 13 7 8 7 6 5 4 4 5 7 6 6 7 10 10 9 9 9 9 9 10 10 9 10 12 12 12 12 15 16 14 12 12 12 12 12 11 11 12 12 11 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 5 4 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 2 0 0 0 0 14 144 410 559 415 187 45 0 0 0 0 0 0 1 20 70 135 193 252 312 354 374 382 382 366 338 322 330 359 361 350 350 358 357 336 289 227 189 195 237 288 330 374 430 452 467 498 577 708 864 1007 1039 935 840 781 721 629 522 456 440 380 270 185 157 170 174 139 91 77 77 72 59 41 22 8 6 1 1 4 16 38 68 104 151 231 344 431 438 362 258
21 23 24 23 23 22 25 26 24 20 16 13 9 8 8 9 10 11 12 13 14 15 15 11 7 9 7 6 5 4 5 5 5 5 6 9 11 11 10 9 9 8 8 8 8 8 10 13 13 12 13 15 15 13 13 12 11 11 11 11 11 11 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 5 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 4 4 4 2 0 0 0 0 17 138 296 335 200 55 9 0 0 0 0 0 0 2 42 81 104 118 141 176 210 227 233 236 234 227 233 266 314 332 327 330 343 353 348 316 256 206 200 229 272 318 361 397 422 424 425 501 667 870 1011 1014 882 803 789 748 643 516 433 403 357 275 247 272 301 295 249 198 190 205 193 152 101 62 38 25 3 0 0 3 15 37 67 102 152 259 364 397 344 253
25 25 20 18 19 21 24 25 22 16 12 9 8 7 6 7 7 9 11 11 10 12 14 10 7 9 6 4 4 5 5 5 5 5 7 9 11 12 11 10 9 9 8 7 8 10 11 11 12 13 15 15 14 12 11 11 10 10 10 11 11 10 10 9 8 8 7 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 2 0 0 0 1 46 126 154 121 52 5 0 0 0 0 0 0 0 2 23 36 37 34 35 43 55 62 65 69 74 90 112 150 203 250 269 283 297 306 306 289 248 203 187 199 228 263 303 341 367 378 391 484 657 837 930 891 815 807 836 812 711 576 469 405 319 243 273 333 360 347 318 306 335 381 368 295 207 144 104 70 26 3 0 0 2 12 35 72 120 194 273 300 260 190
26 24 18 18 19 21 23 20 19 14 10 8 6 4 6 6 6 9 10 9 8 9 11 8 9 9 8 8 8 6 5 5 5 6 7 9 13 12 11 10 9 8 8 9 10 11 12 12 12 11 16 15 12 11 10 10 9 9 11 10 10 10 9 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 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 3 3 3 4 5 3 1 0 0 0 2 16 86 94 59 26 6 0 0 0 0 0 0 0 0 0 0 0 0 3 2 1 0 0 0 0 2 14 28 47 78 122 165 201 230 238 233 218 192 166 155 164 193 229 266 298 322 344 385 485 618 715 744 732 739 795 839 795 682 555 429 301 174 136 193 290 331 328 323 350 416 487 507 469 396 319 255 183 92 20 4 0 0 4 23 62 113 175 232 231 180 127
18 16 15 17 20 21 20 18 16 12 9 9 7 6 6 7 6 7 7 7 7 8 9 9 10 10 11 12 10 7 5 5 6 7 7 9 14 12 10 9 8 8 8 9 12 12 12 12 11 12 15 15 13 11 10 10 10 10 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 5 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 4 4 4 3 3 3 4 5 3 0 0 0 0 7 33 82 46 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 13 30 56 82 118 141 144 129 109 95 94 104 131 166 202 233 263 301 357 429 490 515 518 543 611 696 722 609 446 332 225 127 71 72 112 185 236 272 315 375 442 496 524 543 555 535 475 357 197 63 10 1 0 0 16 56 114 177 231 202 131 91
17 14 15 18 20 18 17 14 12 10 9 9 8 9 9 8 7 6 6 6 6 6 7 8 9 11 10 8 6 6 5 5 6 6 7 9 11 10 9 9 9 9 10 13 13 13 13 12 11 12 13 14 13 12 11 10 10 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 2 0 0 0 0 5 22 34 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 2 7 15 32 48 55 50 40 32 33 44 70 101 127 144 168 206 246 274 278 275 288 337 421 490 473 327 166 97 58 46 51 64 81 111 161 251 351 422 455 459 465 511 580 631 613 489 288 103 18 1 0 0 8 37 92 163 213 171 100 74
18 17 18 18 17 14 14 11 9 7 7 7 7 7 9 10 10 9 8 7 6 6 6 6 7 9 7 6 5 6 6 5 5 6 8 9 9 9 9 10 9 9 10 12 12 12 11 9 9 11 12 13 13 13 12 11 10 10 9 8 8 8 7 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 3 3 4 4 4 4 4 3 3 3 4 5 4 2 0 0 0 0 2 7 7 2 0 0 0 53 73 36 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 10 8 4 4 10 27 47 62 70 83 103 121 124 110 99 114 156 214 247 214 115 31 15 30 60 82 87 87 101 149 260 372 426 428 407 404 451 522 578 605 499 299 114 22 0 0 0 1 14 58 126 171 149 87 69
20 18 18 17 16 13 10 10 8 6 5 6 6 7 9 11 10 11 10 7 6 6 5 5 6 7 6 6 6 6 5 5 5 6 7 7 7 8 9 10 9 9 10 11 11 11 11 10 9 9 11 11 11 11 10 10 10 9 8 8 8 7 7 6 6 6 6 6 6 6 6 5 4 4 3 3 3 2 2 2 2 2 2 1 2 2 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 3 1 0 0 0 1 17 7 1 0 0 0 16 226 344 196 54 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 3 9 17 26 37 52 66 74 70 61 58 57 63 70 58 29 13 27 70 110 125 119 111 120 159 234 313 357 377 385 394 414 444 474 514 423 260 109 24 0 0 0 0 6 30 71 110 124 78 65
20 17 16 15 14 11 8 8 8 7 6 6 7 8 9 10 10 13 11 9 7 5 4 3 5 7 7 6 7 6 5 5 5 5 6 6 6 7 7 8 8 9 10 11 12 13 12 11 10 10 10 10 10 9 9 8 8 9 8 8 8 7 7 6 6 6 6 6 6 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 0 0 0 1 11 49 23 6 1 0 0 49 264 452 219 57 0 0 0 0 0 0 0 0 0 0 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 18 38 56 66 66 57 45 31 14 8 7 14 36 75 131 160 155 138 126 128 146 180 227 285 360 438 476 460 417 401 408 331 213 106 36 6 0 0 0 0 3 28 67 84 64 52
18 16 14 11 8 8 6 6 5 6 7 8 9 9 8 9 11 15 15 11 7 4 3 3 5 7 5 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 9 12 15 13 11 10 9 9 9 9 8 8 8 8 8 7 7 7 7 6 5 5 6 6 5 5 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 1 28 74 55 15 2 0 0 20 80 119 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 1 12 28 39 44 43 36 25 17 2 1 7 31 70 120 174 198 178 153 134 125 128 143 171 234 330 457 522 504 436 369 339 268 186 116 63 29 10 0 0 0 0 0 17 41 36 29
14 13 12 9 8 7 6 6 6 7 8 10 11 10 8 8 11 16 20 12 7 4 4 4 5 6 6 4 5 5 5 6 6 5 5 6 7 7 7 7 7 7 7 8 11 12 11 10 9 9 9 8 8 8 8 8 8 7 7 7 6 6 5 5 6 6 5 4 4 4 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 0 0 0 0 0 1 40 85 78 26 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 2 7 11 12 12 12 12 10 12 17 32 60 98 144 190 209 189 166 150 135 121 114 130 185 239 346 414 435 410 349 299 245 187 139 104 73 36 0 0 0 0 0 0 2 4 5
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15 16 12 10 10 9 8 7 8 9 10 12 13 11 9 11 14 15 10 6 5 5 6 6 7 11 11 11 11 10 9 9 13 17 16 14 12 12 14 16 17 18 17 17 16 15 14 12 11 10 10 9 9 8 8 8 8 8 7 7 6 6 6 5 4 4 3 3 3 2 2 2 2 1 1 1 1 1 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 4 15 25 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 6 21 45 70 87 109 143 173 176 175 152 124 114 108 98 93 83 63 42 29 25 31 51 83 105 90 77 45 14 2 0 0 0 0 0 0
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