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
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nan 8 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 7 6 6 7 9 10 11 11 9 8 7 7 11 16 22 30 32 26 17 9 4 4 7 9 10 11 11 11 10 9 7 7 7 8 8 7 7 7 6 6 5 5 3 2 2 2 4 6 8 9 10 10 10 11 12 11 10 9 8 8 8 8 7 7 7 9 10 10 10 9 7 6 5 6 6 6 7 9 12 16 18 17 16 16 16 14 12 9 8 8 8 9 9 10 10 10 11 11 10 9 8 7 8 9 14 18 20 18 15 13 12 10 8 7 7 7 7 5 4 3 4 6 9 11 11 10 9 9 11 12 12 12 11 10 11 12 13 13 12 11 10 9 8 8 8 9 9 9 11 11 10 6 3 2 1 2 4 6 7 9 11 12 12 11 9 8 7 8 10 10 10 10 9 8 7 7 nan
nan 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 7 9 10 11 11 10 7 6 6 9 14 21 28 31 27 18 11 5 5 8 9 11 11 12 11 11 10 9 8 8 8 8 7 7 6 6 5 5 4 3 1 1 2 4 6 8 10 11 11 11 12 11 10 8 6 4 4 6 7 7 8 9 10 10 9 8 8 7 8 7 7 6 5 5 6 9 12 15 15 14 15 17 17 16 13 9 7 8 9 9 10 10 10 10 10 10 9 8 7 7 9 14 18 17 14 14 14 14 12 8 7 7 7 5 3 1 0 2 5 9 12 13 11 8 8 11 13 13 12 11 10 10 10 10 10 9 9 8 8 7 8 8 9 9 9 10 10 9 4 0 -1 -2 -1 -0 2 4 7 10 12 12 11 10 10 11 11 10 9 8 10 11 11 11 10 nan
nan 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 7 7 7 7 8 10 11 11 10 7 6 6 8 12 19 26 30 28 20 11 6 5 8 10 11 12 12 11 11 11 10 10 9 8 8 8 7 6 6 7 7 7 7 5 5 5 5 6 7 8 9 10 10 10 9 8 5 3 2 4 6 8 9 10 11 12 11 10 10 11 11 11 10 7 4 2 2 4 6 10 12 12 12 13 15 18 18 17 12 8 8 9 10 11 11 10 10 9 8 8 8 7 7 8 12 15 15 14 15 16 15 12 8 7 7 7 5 3 1 0 2 6 10 13 14 12 9 9 10 12 13 13 13 12 11 10 9 9 9 9 9 9 7 6 6 7 9 11 13 13 11 6 2 0 -0 -0 -1 0 3 7 10 13 13 12 10 9 10 10 10 10 11 12 14 16 16 14 nan
nan 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 7 7 8 8 10 11 11 10 8 6 6 8 11 18 26 30 29 23 14 7 6 8 10 11 11 11 11 10 10 10 10 9 8 8 8 7 7 7 8 10 10 11 11 9 7 6 5 5 6 6 7 7 7 7 5 4 2 3 5 7 9 10 10 11 11 12 13 15 16 16 14 9 4 0 -1 1 5 8 11 12 10 9 9 12 15 18 18 15 12 9 9 10 11 11 10 9 8 7 7 7 8 8 10 13 15 16 16 16 15 13 10 9 9 10 9 7 3 2 3 5 8 11 13 14 14 11 10 10 11 12 13 13 13 12 11 11 10 10 10 11 10 8 6 5 6 8 11 14 16 15 12 8 6 5 4 3 3 6 8 9 10 10 10 8 6 6 8 10 12 14 15 17 17 16 14 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 9 9 8 7 7 7 9 10 11 11 10 8 6 6 7 11 17 26 32 30 25 16 9 7 8 10 11 11 11 11 10 9 9 8 8 7 8 8 8 7 7 8 9 10 11 12 11 9 6 4 4 4 4 4 5 5 5 5 4 3 4 7 8 9 9 9 9 9 11 14 17 18 17 13 6 -1 -3 -1 5 11 16 18 16 10 7 6 8 11 15 17 17 15 12 11 11 11 11 9 7 6 7 7 8 9 10 12 14 15 15 13 11 9 9 10 12 12 12 10 7 5 5 7 9 9 10 10 10 11 11 10 9 9 10 11 12 12 13 14 14 13 11 10 11 11 10 8 6 5 6 8 11 15 16 15 14 11 9 8 8 9 11 12 10 8 6 5 4 4 5 7 11 13 15 16 16 14 12 11 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 8 7 7 7 9 10 11 11 10 8 6 6 7 11 18 26 32 31 24 17 10 7 8 9 10 11 11 12 11 9 8 7 6 7 7 7 7 6 6 7 7 8 9 10 10 9 7 5 4 4 4 4 5 5 6 6 5 5 7 8 10 10 9 8 7 7 9 12 15 16 14 9 1 -4 -3 5 14 23 29 28 23 15 10 8 8 9 12 15 15 14 13 12 12 12 11 8 5 6 7 9 10 11 11 12 13 12 10 8 7 8 11 12 13 12 11 9 7 8 9 11 10 9 7 5 5 5 6 6 6 7 8 10 10 10 11 13 15 15 15 14 14 13 11 10 8 7 6 8 10 12 14 15 14 13 12 12 13 16 18 17 14 8 3 1 4 7 10 12 14 15 15 16 14 12 10 9 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 9 10 11 11 10 8 6 6 7 11 18 26 33 32 24 16 10 7 8 10 11 12 13 14 13 10 8 6 5 5 6 6 6 6 6 7 7 7 8 9 10 9 8 7 6 6 6 6 6 6 6 6 7 7 8 9 10 10 8 7 6 6 8 9 10 11 9 5 -1 -5 1 13 25 34 37 33 26 19 14 11 10 10 11 12 12 12 11 11 12 12 11 8 5 6 9 11 13 12 11 11 11 10 8 8 9 12 14 13 11 10 9 9 9 11 12 12 10 8 5 3 3 3 4 5 6 7 8 8 8 7 8 10 12 14 15 15 15 14 11 9 7 6 7 10 13 13 13 12 12 12 13 16 18 21 21 19 13 7 1 -0 4 10 14 16 17 16 16 15 13 11 9 9 nan
nan 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 7 9 10 11 12 11 9 6 5 7 10 17 27 33 33 27 17 10 7 8 10 12 13 14 15 14 11 8 6 5 5 5 5 6 7 7 8 9 9 10 11 12 11 10 9 8 8 9 8 7 7 6 6 7 7 7 7 8 8 7 7 6 7 7 7 7 6 5 1 -2 -2 6 19 30 36 36 28 20 16 13 12 12 12 12 12 11 10 10 10 10 10 9 8 7 8 11 13 14 13 11 10 10 10 10 10 13 16 16 12 10 8 8 9 11 13 15 13 11 8 6 4 3 4 6 9 10 10 9 7 6 7 8 9 10 10 10 10 12 12 9 7 4 4 6 11 14 15 14 11 10 11 13 16 18 19 18 15 9 4 2 3 5 8 12 15 16 15 15 13 12 10 9 9 nan
nan 9 9 9 8 8 8 8 8 8 7 7 7 8 7 7 6 6 6 6 6 6 6 7 8 8 8 8 7 6 6 7 8 10 11 12 11 9 7 5 6 10 16 27 35 34 28 18 10 7 9 10 12 12 13 14 14 11 8 6 5 5 5 6 7 8 9 10 10 11 12 14 15 14 12 11 11 11 11 11 9 8 7 7 6 6 6 6 5 6 6 7 6 6 5 5 5 4 3 1 0 2 8 18 27 28 25 16 10 7 7 7 9 12 12 12 12 10 9 8 8 8 8 8 9 10 12 13 14 13 11 11 11 12 12 13 14 15 13 10 8 6 6 8 11 16 19 18 15 11 8 6 5 7 10 13 14 12 9 5 6 8 10 10 9 6 4 4 5 7 7 6 5 5 6 9 11 12 11 10 10 10 12 13 14 14 13 11 7 6 7 8 8 8 10 12 13 13 12 11 10 9 9 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 7 8 10 11 12 12 9 7 5 6 10 17 26 34 34 28 20 11 7 8 10 10 11 12 12 13 11 8 7 6 6 6 7 8 9 10 10 11 12 13 16 16 15 14 13 13 13 13 12 11 9 9 8 7 7 7 7 6 5 5 5 4 4 4 4 4 3 3 4 4 5 8 13 17 16 12 5 1 -0 1 3 6 9 11 12 11 10 8 7 7 8 9 10 11 12 12 13 14 13 12 12 13 14 14 14 14 13 11 10 8 7 7 7 10 14 18 20 18 15 13 11 10 11 13 14 13 9 6 5 7 11 12 12 10 6 3 1 2 3 5 7 8 8 8 6 5 5 5 8 10 11 11 10 10 10 11 12 12 13 14 14 13 12 12 12 12 11 10 9 9 9 9 10 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 7 7 6 7 8 9 11 12 12 9 6 5 5 9 17 26 34 35 29 20 12 7 7 9 10 11 11 12 12 11 9 8 7 7 6 7 8 8 9 9 9 10 11 12 13 13 13 13 12 12 11 10 9 7 7 6 7 8 9 9 8 6 4 3 1 1 2 3 3 3 4 6 6 7 7 7 8 7 4 -0 -3 -3 -1 2 4 7 9 10 10 9 8 8 9 9 10 11 12 12 13 13 13 12 12 12 13 14 14 13 11 12 12 13 12 10 7 6 6 8 11 14 17 19 19 18 15 12 11 9 7 5 3 5 8 12 14 14 13 9 5 4 3 4 6 9 10 10 9 6 5 4 5 8 12 13 12 10 8 9 11 15 18 20 20 19 17 15 14 12 11 10 9 8 7 8 9 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 8 8 7 6 6 7 8 10 12 12 10 6 5 5 8 16 27 34 36 31 20 12 6 6 9 10 11 12 12 13 12 11 9 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 6 5 5 5 4 4 3 4 7 9 10 10 8 6 4 2 2 2 2 2 2 4 6 8 8 7 6 5 4 2 -1 -1 -0 1 3 4 6 9 10 10 10 9 10 10 10 10 11 12 12 13 13 12 11 10 11 11 11 11 9 8 11 14 16 14 10 6 4 4 4 4 7 11 17 21 20 14 10 7 6 6 6 5 5 8 12 15 17 17 13 9 7 6 7 8 10 11 11 11 10 10 10 10 12 15 16 14 12 9 9 12 16 19 21 20 19 18 16 13 12 10 9 8 8 7 8 10 12 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 6 6 6 7 9 11 12 10 7 4 5 8 15 27 35 36 32 22 11 6 5 8 10 11 12 13 13 14 13 11 9 7 5 4 5 5 6 6 5 4 2 1 -0 -0 -0 -0 1 1 2 4 5 5 5 5 6 7 8 8 9 9 8 7 6 5 5 4 2 2 2 5 7 8 8 7 6 4 2 1 3 5 7 7 7 8 10 11 10 10 9 9 10 10 11 11 11 11 12 12 11 10 9 9 9 9 8 7 7 10 14 16 15 10 6 5 6 5 3 3 5 11 17 17 13 9 8 8 10 11 9 7 7 10 15 19 19 15 11 9 9 9 9 9 11 15 16 16 14 14 14 16 18 18 17 14 12 12 13 15 15 15 15 16 16 15 14 12 11 10 9 8 8 9 11 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
9 10 9 9 11 13 16 19 20 24 25 28 28 28 26 25 25 23 23 23 21 18 17 17 17 17 16 17 18 18 19 16 16 16 17 17 17 18 19 19 20 21 21 20 23 22 20 19 20 22 23 23 24 24 23 23 24 26 30 30 30 32 32 31 29 27 26 25 27 26 27 28 29 30 32 30 30 30 29 27 25 25 26 25 22 22 21 20 19 18 18 18 18 18 18 17 17 17 16 16 17 17 18 17 13 11 10 10 10 11 14 16 15 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 19 192 92 7 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
7 7 8 8 8 9 12 15 18 22 21 25 24 23 23 23 21 20 20 20 20 20 18 16 17 17 17 16 18 20 19 17 16 17 17 17 17 18 18 19 19 20 21 22 23 20 20 19 21 23 23 22 23 25 24 22 22 24 28 29 31 33 31 29 28 28 27 25 26 25 24 25 28 29 30 29 30 29 27 25 25 25 26 24 22 21 21 20 19 18 18 18 18 18 18 18 18 18 17 16 17 18 18 16 13 11 10 9 10 12 15 16 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 42 15 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
7 7 7 7 7 7 9 11 15 18 20 24 22 21 19 20 19 19 19 19 20 20 19 17 18 19 18 18 19 19 19 17 17 17 18 17 17 17 17 18 18 19 19 21 21 20 20 20 17 19 21 21 23 24 24 21 20 24 28 30 30 29 28 28 27 26 25 24 25 25 26 27 29 28 27 25 24 23 22 23 24 24 23 22 21 21 20 19 19 18 18 18 18 18 18 18 18 18 18 18 18 19 18 16 14 13 12 10 11 14 16 14 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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
6 6 8 9 9 8 8 9 12 14 16 18 17 19 19 19 19 19 19 19 21 21 19 19 20 20 19 19 20 20 19 18 18 19 17 16 17 17 17 17 18 18 17 19 20 20 20 19 19 21 22 22 23 24 24 22 21 27 28 26 25 24 25 28 27 24 23 24 26 27 27 25 24 24 23 22 19 19 21 23 23 23 21 21 20 20 19 20 19 18 18 18 18 18 18 18 19 18 18 19 19 19 17 16 15 14 13 13 14 16 15 10 4 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
6 7 7 8 8 8 8 9 10 12 14 14 14 17 16 17 17 16 17 18 19 20 19 20 20 20 20 21 20 20 20 20 19 18 17 16 17 17 17 17 17 17 17 18 19 20 19 18 19 20 22 22 23 23 22 21 23 28 27 25 23 23 25 26 26 23 24 26 27 26 25 24 21 22 21 20 18 19 21 22 23 21 20 20 20 19 19 19 19 19 19 18 18 18 18 18 19 18 18 19 20 19 17 19 17 15 14 14 17 18 16 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
6 6 6 7 8 8 8 8 9 10 11 11 12 13 13 14 14 12 12 14 16 18 18 21 20 19 19 20 20 20 20 20 19 18 17 16 17 17 17 17 17 17 17 18 19 18 18 18 20 21 21 22 23 22 21 22 24 26 25 25 22 23 25 25 24 23 24 27 26 25 23 21 21 22 22 20 20 21 22 22 21 20 19 20 20 19 19 19 19 18 18 18 18 18 18 18 19 18 18 20 21 20 19 21 17 15 15 16 19 21 18 6 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 0 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 6 6 7 7 8 8 9 9 10 10 10 11 12 11 12 12 12 12 12 14 15 17 18 18 17 18 18 19 19 19 19 19 17 16 16 17 16 16 17 18 18 18 17 17 17 17 18 19 20 20 21 21 20 19 21 24 25 24 22 21 22 23 24 23 23 24 27 28 26 23 22 23 23 21 20 20 21 22 21 19 18 19 20 20 19 19 19 19 18 18 19 18 18 18 18 19 19 19 20 20 18 17 18 15 14 14 16 19 22 17 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
5 5 5 6 7 7 8 9 9 9 9 10 10 11 10 10 11 10 10 11 12 13 14 15 16 16 16 17 17 18 18 18 18 16 15 16 16 16 17 18 17 18 18 18 18 18 18 19 21 20 20 21 21 20 21 23 26 26 24 22 22 23 21 22 22 22 23 26 30 28 24 23 24 23 21 21 20 20 20 19 18 18 19 20 20 19 19 19 19 19 20 20 19 19 19 19 20 20 19 20 18 18 17 16 14 13 15 18 19 18 13 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
5 4 5 6 6 7 8 9 9 9 9 9 8 7 9 9 9 10 11 11 11 12 12 13 14 14 14 15 15 16 16 16 17 17 16 17 17 17 17 17 17 18 19 18 19 19 19 19 22 20 21 21 22 22 23 25 26 24 22 21 21 21 21 21 21 22 23 25 29 29 27 24 25 23 22 21 19 19 19 18 17 17 18 19 19 18 19 19 19 19 20 20 20 19 19 20 20 20 19 21 18 21 18 14 13 15 17 19 17 12 7 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
4 4 4 5 5 7 7 8 9 9 9 9 9 9 8 8 6 9 10 10 10 11 11 12 12 12 12 12 13 14 14 15 16 17 17 17 18 18 17 17 17 18 18 18 19 19 19 20 21 20 21 21 23 23 23 24 24 22 21 21 20 20 20 20 21 23 24 25 27 29 28 26 24 22 21 19 19 18 17 17 17 17 18 18 19 18 19 20 20 20 20 20 20 20 19 20 20 20 20 20 19 22 18 15 15 17 19 19 16 11 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 0 0 0
4 4 4 5 6 6 7 7 8 9 9 9 8 7 7 7 6 9 10 10 10 10 10 11 11 11 12 11 12 13 14 15 17 16 17 17 17 17 18 17 18 17 17 18 19 19 19 19 20 21 21 21 23 26 25 24 23 21 20 20 19 20 21 21 22 23 25 26 28 29 29 27 23 21 20 19 18 18 17 16 16 17 17 18 19 19 19 19 20 20 20 20 19 20 20 20 19 19 19 18 17 19 18 17 18 19 19 17 13 6 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 0 0 0 0 0 0 0
5 5 5 5 5 5 6 7 8 9 9 9 8 7 7 6 7 9 9 9 9 9 9 11 11 11 13 11 13 13 14 14 15 15 16 16 16 16 17 16 18 18 17 18 19 20 20 20 21 20 21 22 23 24 24 23 22 20 20 20 20 21 22 23 24 25 26 25 26 26 24 24 25 24 22 19 17 17 16 16 16 16 17 18 19 19 19 19 19 19 18 18 18 19 19 19 19 19 17 16 16 17 18 20 19 19 19 16 10 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
6 5 5 5 5 5 5 6 8 7 8 8 7 6 7 6 8 8 8 8 8 8 9 10 11 11 12 14 15 13 14 14 14 14 14 15 15 16 16 16 18 17 17 18 19 19 19 19 18 21 22 23 24 24 23 22 21 19 19 19 20 21 23 23 24 25 25 25 24 23 23 22 22 23 21 19 17 18 17 16 16 16 17 18 18 18 18 18 18 18 17 17 17 18 18 18 19 18 16 15 15 15 16 17 17 17 17 14 9 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
6 6 5 5 4 4 4 5 7 6 6 6 7 7 7 7 8 8 9 8 7 8 9 9 10 12 12 12 13 14 14 14 14 14 15 14 14 16 14 15 16 16 17 16 16 16 17 18 20 22 24 22 23 24 23 21 19 19 18 19 20 20 22 24 25 25 24 24 24 23 20 18 20 20 19 18 19 18 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 17 17 18 19 17 15 15 14 15 16 17 16 14 12 9 6 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
8 7 6 5 4 4 4 4 4 5 6 6 7 8 8 8 9 8 9 8 7 8 7 8 9 12 13 10 12 16 14 14 14 15 15 15 15 15 13 15 15 15 16 16 15 14 14 17 21 23 24 22 23 24 22 20 19 19 18 19 20 21 22 24 24 24 23 22 23 23 21 19 21 21 19 18 18 17 18 18 18 17 16 16 16 16 16 15 15 15 15 15 16 16 17 18 18 17 15 14 14 16 18 19 16 11 7 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 0 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 10 8 6 5 4 4 4 5 5 6 7 8 10 10 9 9 8 8 7 7 8 9 10 11 12 14 14 13 14 13 13 13 14 15 16 15 15 15 15 15 14 14 14 14 15 15 17 22 24 25 24 23 21 20 19 19 19 19 19 20 21 24 25 24 22 21 21 23 23 22 21 22 20 19 18 17 17 18 18 17 16 15 15 15 14 14 12 12 12 13 14 15 16 16 17 18 17 15 14 15 18 19 19 14 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 18 12 8 6 5 4 4 5 6 6 7 8 9 9 9 9 8 7 8 8 9 11 12 12 14 15 14 17 15 13 13 13 14 14 15 15 15 15 15 15 15 15 16 15 16 17 18 20 21 21 22 21 20 19 19 18 19 19 19 20 23 24 24 23 21 20 21 22 21 20 20 20 19 17 17 16 17 18 17 16 15 15 14 13 12 11 10 10 11 12 14 15 15 15 17 18 16 15 14 15 18 15 12 8 4 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
39 28 21 13 8 7 6 5 4 5 5 5 6 7 8 8 8 7 7 8 8 8 9 11 13 15 16 15 15 16 14 14 14 14 14 14 13 14 16 16 16 17 16 17 17 17 18 20 21 20 18 20 20 20 19 18 19 19 20 21 21 22 22 23 22 21 21 22 21 20 19 19 19 18 16 17 17 16 16 16 15 14 14 12 11 9 8 7 8 9 12 13 14 15 15 16 16 14 14 12 12 12 10 7 5 2 1 2 2 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 0 0 0 0 0 0 0 0
49 40 33 22 15 13 11 8 6 6 5 5 6 6 6 7 8 6 7 8 8 8 10 13 16 18 18 19 18 17 16 15 16 15 15 14 14 15 17 16 18 20 19 18 18 18 18 18 19 18 19 20 20 19 19 18 19 20 20 19 20 21 22 22 22 22 21 21 20 19 18 18 18 17 16 16 17 16 15 15 14 12 11 10 8 7 6 6 7 9 11 12 14 14 14 14 13 13 12 8 7 6 6 5 4 3 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
63 53 44 34 27 24 20 15 11 9 6 5 5 5 6 7 8 8 8 10 9 8 8 11 15 17 17 18 18 17 17 16 16 15 15 15 15 16 18 17 18 20 20 19 19 19 18 19 20 20 20 20 20 19 18 18 18 20 20 17 19 21 22 22 20 21 22 20 19 17 17 17 17 17 17 17 17 16 14 13 13 12 10 8 6 6 5 4 5 7 10 11 12 13 13 14 14 12 9 7 5 5 4 4 4 3 1 2 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 0
79 68 59 49 42 37 33 27 25 21 15 10 6 6 6 7 8 8 9 10 11 10 9 11 14 16 17 18 19 18 17 17 16 17 17 16 17 18 19 17 17 21 21 19 19 19 18 19 20 19 20 20 20 19 18 18 18 19 19 18 19 18 20 19 18 19 21 19 16 15 15 15 16 17 17 17 16 15 14 12 12 11 9 6 5 4 2 3 4 7 9 10 10 9 9 10 11 9 6 4 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
89 81 73 63 54 50 47 43 38 35 30 22 13 8 7 8 9 10 10 10 11 12 11 11 13 14 16 16 17 17 18 20 21 21 19 18 20 21 20 19 20 23 22 20 19 19 19 19 20 20 21 21 20 20 18 18 18 18 18 17 17 18 20 18 19 20 19 16 15 15 16 16 16 16 15 15 14 13 13 12 11 10 7 5 3 2 2 2 4 6 8 8 7 6 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 88 84 77 67 61 57 52 47 45 43 38 28 19 13 11 11 12 11 10 11 12 11 11 13 14 15 16 17 18 19 22 24 22 21 20 21 23 23 23 23 23 21 19 18 19 20 20 20 19 21 20 20 20 19 19 19 19 18 17 18 19 20 19 20 19 17 15 14 14 14 15 15 15 14 14 13 14 13 11 10 8 5 2 1 1 2 2 3 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0
75 83 86 86 81 74 69 65 60 54 51 47 38 32 23 18 15 14 13 12 13 12 13 14 15 15 15 16 17 18 19 23 24 22 22 22 21 21 23 24 25 23 23 22 20 20 20 21 21 20 20 20 21 20 19 19 19 18 17 16 17 18 19 19 20 18 16 15 14 14 14 15 15 14 14 13 13 13 12 10 8 5 3 0 0 0 1 1 1 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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18 30 43 58 61 68 72 76 78 73 66 59 53 46 40 34 26 20 18 18 18 18 17 20 18 15 13 13 15 17 18 19 20 22 22 23 23 23 23 23 23 23 22 23 24 23 22 22 21 20 20 20 21 19 21 20 19 19 18 18 18 18 20 19 16 16 14 15 16 16 15 14 13 13 12 13 12 11 10 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 37 218
8 13 19 23 26 34 42 54 64 69 68 63 59 53 46 40 33 27 24 23 23 23 22 23 21 13 10 11 14 16 17 18 19 20 20 22 22 21 23 24 24 23 23 24 23 22 22 21 21 20 20 21 20 20 22 20 19 18 18 18 19 19 20 17 16 15 14 15 16 15 14 14 13 13 13 13 11 10 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 42 237 762
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4 5 5 5 5 5 5 5 7 13 24 35 46 52 52 49 42 34 30 30 31 34 36 34 25 15 7 5 7 10 13 16 17 17 21 21 21 22 24 25 25 24 21 21 21 22 21 19 18 18 19 19 20 21 20 19 19 19 19 20 21 20 20 19 18 16 16 16 15 15 15 14 13 11 9 8 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 173 938 1651 1867
4 5 5 5 6 7 7 6 5 8 16 26 36 45 49 48 42 36 32 30 31 33 35 33 24 14 8 5 6 9 13 15 17 18 18 19 21 23 25 25 25 25 25 23 22 21 20 19 18 17 18 19 20 21 21 20 19 20 20 21 20 19 21 21 18 16 15 15 15 15 14 13 12 9 8 7 7 6 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 0 181 914 1601 1810
3 4 4 5 6 8 9 9 7 7 12 20 29 40 46 45 42 37 31 27 28 31 30 27 23 14 7 4 4 7 11 14 16 18 18 19 21 22 24 26 26 25 27 24 23 21 19 19 18 17 17 19 21 21 21 19 20 20 20 20 20 19 21 20 17 15 15 15 15 15 13 11 10 8 6 5 5 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 20 212 817 1418 1659
3 4 4 6 8 10 12 12 9 7 9 15 25 35 42 43 39 34 29 26 24 25 27 26 21 13 7 4 3 5 9 13 16 17 18 20 22 24 25 25 26 26 23 22 21 20 18 18 17 16 16 19 20 20 19 19 20 20 19 19 19 19 20 18 15 14 14 14 14 14 11 9 7 6 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 65 386 976 1415 1555
5 6 7 8 11 13 13 12 9 7 6 10 19 29 36 39 37 34 28 23 20 22 25 25 20 13 7 4 2 4 7 11 14 16 17 19 21 22 21 23 26 27 26 23 21 19 18 18 17 16 17 18 19 18 17 17 18 19 18 17 18 19 19 18 15 16 15 14 13 12 10 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 497 1179 1585 1544
8 10 12 13 14 15 14 14 11 8 6 9 15 22 29 34 36 34 27 20 16 17 20 24 20 14 8 5 3 4 6 9 12 13 14 16 19 21 21 22 25 26 23 20 20 20 18 17 16 16 17 17 18 18 18 17 16 16 17 17 17 18 19 18 15 14 13 13 12 10 8 5 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 95 428 1064 1638 1588
13 14 15 15 15 15 14 12 10 9 8 9 14 21 27 31 33 33 27 20 16 15 17 20 20 15 10 6 4 4 7 8 10 11 12 13 15 17 20 21 23 25 24 21 20 19 18 17 17 17 17 17 17 17 17 17 16 17 17 18 18 19 19 17 15 14 13 14 12 8 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 41 213 607 1212 1384
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