Vorticity
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nan 9 7 3 -2 -8 -8 -1 7 13 15 17 18 20 22 23 23 23 24 19 10 5 2 2 1 1 2 3 4 6 4 4 6 7 8 8 9 10 10 9 10 10 10 10 9 9 9 11 11 11 13 15 15 17 17 15 14 13 12 10 9 9 9 10 10 11 11 11 11 12 11 9 9 9 9 11 13 14 16 18 17 17 16 15 14 14 13 10 9 7 6 7 9 13 15 15 14 13 11 8 7 8 8 8 10 10 6 7 14 16 14 11 9 9 9 9 9 8 7 9 10 10 10 9 8 8 8 8 9 9 9 9 8 9 8 7 7 8 8 8 8 8 nan
nan 4 -2 -8 -10 -6 1 9 14 16 17 18 20 22 24 26 28 31 32 31 25 18 12 9 7 6 5 5 6 6 6 7 9 10 10 10 10 11 10 9 9 9 9 9 10 9 8 8 8 9 11 11 12 13 13 12 14 14 13 12 10 9 10 11 11 12 13 12 12 12 12 13 12 11 11 13 15 17 20 23 25 25 25 23 21 19 16 12 7 3 3 5 9 13 16 16 14 12 11 8 5 6 8 8 10 13 12 10 11 14 14 12 10 9 8 7 7 6 5 6 8 9 8 9 9 6 6 8 9 9 9 9 9 9 9 9 9 11 10 9 9 8 nan
nan -7 -10 -9 -3 5 11 15 17 18 19 22 24 26 29 32 35 37 38 38 35 31 26 22 20 17 13 12 12 12 12 12 13 13 12 12 12 12 11 10 10 9 9 9 9 9 10 9 9 10 10 11 12 12 11 11 11 12 14 14 12 11 11 10 11 12 13 13 13 14 15 15 16 15 15 16 16 17 19 22 24 26 26 27 28 27 23 18 11 7 3 2 6 11 14 15 14 12 11 10 4 3 7 10 12 13 11 10 9 12 14 11 10 8 8 6 5 5 5 6 10 11 9 10 10 9 9 10 11 11 10 9 10 10 9 9 10 11 11 11 10 9 nan
nan -1 2 7 11 14 17 20 23 24 26 28 30 31 33 33 32 30 30 30 29 28 28 25 23 21 18 18 17 17 15 15 15 14 13 12 12 12 11 11 10 10 8 8 8 8 10 10 9 9 10 10 11 11 11 12 12 12 13 14 14 11 10 10 11 11 11 11 13 15 16 16 17 18 17 17 15 12 12 15 17 18 21 23 25 26 27 24 16 11 8 6 6 10 13 14 12 11 10 10 8 6 7 8 11 12 10 10 10 12 14 12 8 7 7 7 8 6 5 7 10 11 11 11 10 10 10 11 12 12 11 9 9 10 10 10 11 11 12 12 11 10 nan
nan 18 19 18 19 21 24 28 30 30 29 27 26 25 23 20 18 16 17 19 21 21 22 23 24 22 20 19 17 16 15 15 15 14 13 12 12 11 11 11 11 11 9 8 8 9 9 9 9 9 9 8 8 9 11 11 10 10 10 11 11 9 8 9 10 10 10 11 12 13 15 16 16 16 16 16 12 8 8 10 11 13 15 18 20 22 25 24 19 14 10 9 9 11 14 13 12 11 10 9 10 10 10 9 10 11 10 11 11 12 11 11 9 7 5 5 6 7 9 9 9 11 11 12 11 10 9 9 10 12 12 11 10 10 9 9 11 12 13 12 11 10 nan
nan 27 23 24 27 30 30 26 21 17 14 13 14 14 13 12 10 11 14 16 19 22 25 27 27 25 22 17 15 13 13 13 13 13 11 11 11 10 10 10 11 10 9 8 8 9 9 9 9 9 8 7 5 5 6 7 5 4 5 7 8 7 9 11 10 10 10 12 12 12 12 13 14 15 15 16 11 7 6 8 9 11 12 15 18 21 23 23 20 16 12 11 11 13 14 14 12 10 9 11 11 11 11 12 11 9 10 11 11 13 12 11 8 5 5 7 6 5 9 10 9 10 11 11 11 11 8 8 9 11 12 12 10 10 9 9 10 10 11 11 11 10 nan
nan 22 20 25 26 21 13 8 7 8 11 16 19 18 18 17 16 16 17 19 21 22 24 26 26 24 21 16 14 13 12 11 11 11 10 9 9 7 8 9 8 9 10 9 8 9 10 10 9 9 9 8 7 5 4 4 3 2 3 5 8 6 8 11 11 11 11 11 12 11 10 11 14 16 16 14 10 6 5 9 11 10 10 12 15 20 23 24 21 17 17 16 14 13 13 12 10 8 9 11 12 12 13 13 10 6 8 11 12 13 14 14 10 5 5 10 12 10 8 6 5 7 9 11 13 14 12 10 9 10 11 11 10 9 9 10 10 10 10 11 11 10 nan
nan 15 15 17 16 11 9 12 16 21 25 27 26 23 22 21 20 19 18 18 18 17 17 17 17 18 17 15 15 14 12 11 11 11 11 9 8 8 8 8 9 10 10 10 9 10 10 10 10 10 10 10 9 8 6 5 5 5 5 5 7 7 7 8 11 11 12 12 11 11 11 11 13 14 15 12 9 6 7 8 11 10 9 10 14 18 21 22 22 21 21 19 17 14 12 10 7 6 9 10 11 12 13 11 9 8 11 14 14 12 12 14 11 7 6 7 7 4 8 10 9 11 13 12 14 15 14 12 11 10 9 8 8 8 8 9 10 10 10 10 11 11 nan
nan 13 14 17 19 21 24 25 26 24 22 20 19 18 18 18 17 16 15 17 16 15 14 13 12 12 12 14 15 14 12 10 10 11 11 12 11 11 11 11 12 13 12 11 11 10 11 11 11 11 11 10 10 9 8 7 7 8 8 7 7 8 8 7 9 11 12 12 12 11 11 11 11 12 12 10 9 7 10 11 11 11 10 12 15 16 17 18 21 23 24 22 18 14 11 10 9 8 9 10 7 8 12 10 8 13 17 17 15 12 11 11 11 10 8 6 3 -1 2 12 15 17 15 13 12 12 12 12 11 10 8 7 7 7 7 8 9 10 10 11 11 11 nan
nan 16 17 18 20 20 20 20 18 16 13 13 13 13 13 13 14 14 15 16 15 15 15 14 11 9 9 12 14 14 14 14 14 13 13 14 14 14 14 15 15 15 14 12 11 11 10 11 11 11 11 11 11 11 11 9 8 9 9 9 8 8 7 6 8 10 12 11 11 10 10 10 11 11 10 10 7 9 11 13 13 13 13 13 14 14 12 13 16 19 21 22 20 19 17 15 14 12 11 11 10 10 11 10 10 13 16 15 13 12 13 12 10 10 10 9 6 2 2 8 12 15 15 14 12 11 12 12 11 9 8 10 8 8 8 9 9 10 10 11 11 10 nan
nan 19 17 16 14 14 12 11 12 11 11 11 12 12 12 12 13 13 13 14 15 16 17 16 12 10 10 12 13 15 16 16 15 14 14 14 14 14 15 14 14 14 14 13 12 11 10 10 10 10 10 11 12 14 14 13 10 8 8 9 9 8 7 7 7 9 11 11 9 9 9 9 12 13 12 11 9 7 8 10 11 11 12 12 12 10 9 10 12 15 17 18 19 20 21 21 20 18 16 16 16 16 14 10 8 11 13 13 11 11 12 13 11 9 9 7 5 4 4 7 10 13 15 15 14 13 12 12 10 8 8 9 9 9 8 9 10 10 10 10 10 11 nan
nan 15 14 13 12 11 11 11 11 10 11 11 11 12 11 11 12 12 12 14 15 16 17 16 14 13 15 15 14 14 14 13 13 12 13 12 12 13 13 14 13 13 13 13 12 11 10 10 10 10 9 10 11 13 13 13 12 10 8 7 7 8 7 7 7 9 9 9 8 8 9 8 11 13 14 11 8 7 8 8 9 10 11 12 12 9 8 10 12 13 14 14 14 15 17 19 19 18 19 20 21 22 18 10 7 7 10 10 10 11 10 10 10 10 10 10 9 6 5 7 12 15 16 15 14 14 12 10 7 6 6 7 7 8 9 9 10 9 10 10 10 11 nan
nan 12 12 11 12 12 11 10 10 10 10 10 11 10 10 11 11 11 11 12 13 14 16 15 16 17 18 17 14 12 12 12 12 11 11 11 11 10 10 11 13 14 14 14 13 12 12 11 11 10 9 9 9 9 9 10 11 11 9 8 8 8 8 7 8 9 9 8 8 9 9 9 9 11 13 13 12 9 9 10 12 13 13 12 11 9 8 10 13 13 12 10 9 7 9 11 12 13 12 13 19 23 21 16 14 13 12 11 13 13 10 8 9 8 9 12 11 8 6 9 14 16 14 14 14 14 12 10 6 6 7 7 7 6 7 8 8 8 8 10 12 13 nan
nan 12 11 11 11 12 12 11 11 11 10 10 10 10 11 11 10 11 11 12 12 13 14 15 15 17 17 16 14 13 13 12 12 11 11 11 10 10 9 9 11 12 14 15 15 14 14 13 12 10 9 9 9 8 8 8 9 9 10 10 10 9 8 6 7 9 10 11 10 9 10 10 9 10 10 11 11 10 12 13 14 15 13 10 7 6 7 9 11 9 6 7 7 6 8 8 9 11 10 9 11 14 13 11 14 24 25 17 14 14 11 9 10 9 9 10 11 10 9 10 13 13 12 12 13 13 10 8 8 9 11 11 11 9 7 7 8 8 8 10 13 13 nan
nan 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 13 14 15 16 16 15 15 14 14 14 13 12 12 11 11 10 10 10 11 11 12 14 16 16 15 14 13 13 12 11 12 12 11 11 10 10 9 10 11 10 9 6 5 7 9 11 12 11 11 11 11 10 9 9 8 8 11 14 14 13 10 8 7 8 9 10 9 7 6 8 7 8 10 9 10 11 11 9 8 7 6 1 4 16 26 27 20 14 11 9 12 12 10 10 12 12 11 11 12 11 11 11 11 10 9 9 11 11 12 13 14 13 9 8 8 8 9 11 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 16 15 15 15 14 14 14 14 12 12 12 11 11 11 11 11 11 12 14 16 18 19 17 16 16 15 14 12 13 12 13 13 13 12 11 11 12 11 8 5 4 7 10 11 10 11 11 12 12 12 12 11 9 8 12 12 11 9 10 10 9 11 12 9 8 8 8 7 8 10 11 11 11 11 10 8 8 6 3 2 3 8 23 28 19 14 11 10 11 10 10 13 14 13 13 12 12 12 11 11 11 10 10 9 10 11 11 13 11 10 9 7 8 11 12 11 11 nan
nan 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 15 15 15 15 15 14 15 14 13 13 12 12 11 11 11 12 12 12 12 13 14 15 17 18 18 18 16 14 13 12 11 11 12 13 12 12 12 12 12 12 10 8 8 9 10 11 10 11 13 15 15 15 14 11 10 10 10 11 11 11 8 6 9 10 10 8 7 6 7 10 11 11 12 12 10 8 7 8 7 6 5 3 -3 12 28 27 22 14 9 9 10 10 11 13 14 13 13 13 12 11 11 11 10 9 8 8 10 10 11 10 10 9 9 9 10 11 10 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 15 16 16 16 15 14 13 12 11 11 11 11 12 13 14 14 13 12 11 10 11 13 15 17 18 17 15 14 12 11 12 12 12 11 11 11 10 13 14 13 11 9 10 11 11 12 12 12 14 15 15 12 11 10 10 12 12 10 7 6 7 7 7 8 7 7 9 12 13 12 12 10 8 9 8 7 5 5 4 4 1 4 15 23 28 23 13 11 11 11 10 11 12 12 12 12 11 10 10 10 10 10 9 9 10 10 10 10 10 9 10 11 11 10 8 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 13 13 15 16 17 16 15 15 13 12 12 12 12 12 13 13 14 13 12 11 10 8 8 8 9 12 14 16 17 16 14 13 13 13 12 11 11 9 7 8 11 12 12 11 12 13 12 11 11 10 10 12 13 14 13 12 11 10 12 12 10 9 7 8 10 12 12 11 11 13 14 14 12 10 9 9 8 7 6 6 5 4 6 3 1 7 21 28 22 16 13 13 11 11 12 12 12 11 11 10 9 8 9 11 10 10 12 11 10 9 9 9 11 11 11 10 10 9 nan
nan 11 11 11 11 11 11 11 10 11 11 11 12 13 12 12 12 12 12 12 12 12 12 13 13 14 14 15 16 17 17 16 15 15 14 14 14 14 13 13 13 12 11 9 9 9 8 7 7 7 9 11 14 15 15 14 15 14 13 12 12 11 9 5 6 8 11 12 12 15 17 14 12 10 10 11 12 14 15 14 12 11 11 13 14 12 11 10 13 14 13 13 13 13 13 12 10 9 9 9 8 7 8 7 6 8 10 9 1 -3 5 14 22 23 20 16 11 11 13 12 11 10 10 10 9 9 9 10 11 11 11 11 10 9 9 10 12 11 10 10 10 10 nan
nan 11 10 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 16 18 19 19 17 15 15 16 15 14 13 13 12 11 10 9 9 10 9 9 9 8 9 9 11 12 13 13 14 14 13 12 12 11 10 7 6 6 10 13 13 15 17 17 15 13 11 10 10 12 14 15 13 12 12 12 14 13 13 12 10 9 10 13 14 13 11 10 8 9 10 9 9 8 8 7 8 9 8 6 4 -1 -3 -1 14 25 23 17 12 11 11 10 10 9 9 9 10 9 10 11 11 13 10 10 10 9 8 9 11 11 11 10 10 9 nan
nan 10 10 11 11 11 10 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 15 18 21 22 19 17 16 15 14 14 13 13 12 11 10 10 10 10 10 10 10 11 11 10 11 12 12 13 13 13 13 11 10 11 11 9 7 6 7 12 14 14 13 12 14 16 14 10 9 9 11 12 13 14 12 11 11 11 11 11 10 8 9 13 14 14 11 9 9 11 11 10 10 9 8 5 6 7 4 4 4 5 3 -1 6 18 23 21 16 13 10 10 10 10 9 9 10 10 12 12 12 11 9 9 10 10 10 11 11 10 9 9 9 9 nan
nan 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 13 13 13 13 15 18 21 22 21 19 16 14 13 12 13 12 11 11 10 10 10 11 11 11 11 11 11 11 12 13 14 15 14 13 13 12 10 10 10 9 8 7 7 9 11 12 10 7 11 16 15 12 9 8 8 11 15 16 12 9 8 8 9 10 9 9 10 12 11 11 11 11 11 13 13 12 11 9 7 6 6 6 7 7 7 9 8 5 7 12 17 21 20 16 13 12 11 9 10 10 11 11 11 12 12 11 9 9 10 11 12 12 10 9 9 9 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 15 17 20 22 22 19 15 13 12 11 10 11 10 10 10 11 11 11 11 11 11 11 10 10 11 12 14 15 16 16 15 14 12 11 11 10 9 9 8 8 9 10 10 9 10 12 13 14 12 8 7 10 15 16 13 9 6 6 7 8 9 10 11 11 10 10 11 12 13 13 14 14 12 9 9 10 11 11 14 14 10 8 8 7 7 8 11 15 21 21 17 14 11 9 9 11 12 12 13 13 13 12 10 10 10 11 11 12 12 12 12 11 11 12 nan
nan 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 13 13 13 13 14 14 17 20 22 22 19 15 13 12 11 10 10 10 10 10 11 12 12 12 12 12 11 10 10 11 11 12 13 15 18 18 15 13 12 11 11 11 11 9 10 10 10 10 10 10 9 9 12 14 11 10 11 14 15 14 11 6 6 6 7 10 12 12 12 12 13 13 14 14 14 14 13 12 12 13 13 15 16 15 14 11 10 9 7 6 6 7 9 15 22 24 21 14 10 10 11 12 12 12 12 11 11 11 11 11 11 10 12 13 13 13 12 10 12 nan
nan 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 12 12 13 12 12 12 12 13 13 13 14 14 16 18 20 21 21 18 15 14 12 11 11 11 10 10 10 11 12 13 13 12 11 11 10 10 10 10 11 12 13 16 18 17 15 13 11 11 11 12 12 12 11 11 12 11 9 8 7 10 13 12 12 15 16 14 13 10 7 7 6 7 10 11 13 14 14 14 15 15 14 14 13 13 13 14 13 13 14 14 12 9 8 9 10 10 8 8 8 8 10 17 25 26 20 17 14 13 12 10 9 11 12 11 11 11 11 9 9 10 11 12 11 10 10 11 nan
nan 10 10 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 13 13 13 14 14 15 16 18 20 21 21 18 15 13 12 12 13 13 12 11 11 11 12 12 11 11 11 10 10 10 11 11 11 11 12 14 16 16 16 14 11 11 11 12 12 11 12 13 13 13 12 12 10 8 7 9 13 17 17 14 10 8 7 7 7 9 11 11 12 13 12 11 14 16 15 14 15 15 15 14 14 13 11 9 8 8 8 9 11 11 9 9 10 8 9 11 17 21 23 23 21 19 16 13 12 13 13 12 10 11 10 9 9 9 9 9 8 8 8 8 nan
nan 10 10 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 16 19 21 22 20 18 16 14 13 13 13 14 13 11 10 10 11 11 12 11 11 10 10 10 11 11 11 11 12 13 15 16 16 14 13 13 12 11 10 10 10 12 14 15 16 15 13 9 5 8 14 16 16 13 10 9 8 7 8 10 11 11 9 8 8 8 11 14 15 15 14 14 12 12 11 10 9 8 9 8 8 8 9 10 9 10 9 8 7 7 10 15 19 23 25 25 24 24 21 18 17 13 9 9 9 9 9 9 9 9 9 8 7 7 nan
nan 10 10 11 12 11 11 11 11 10 11 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 13 14 17 20 23 24 20 16 14 13 11 11 13 13 12 12 10 10 10 10 11 11 10 10 10 10 11 11 11 11 12 13 15 17 17 15 15 14 13 12 12 10 9 10 11 12 15 16 14 10 8 9 12 13 13 12 11 11 9 8 10 11 11 9 7 6 7 8 7 9 12 13 11 10 10 9 10 9 8 9 10 8 9 8 8 9 10 11 10 10 9 7 8 10 14 19 22 23 24 29 32 27 22 18 14 10 9 9 10 10 9 11 11 10 9 7 nan
nan 10 10 11 11 11 11 11 11 11 12 13 12 12 12 11 11 12 12 13 13 14 14 13 13 12 13 15 17 20 23 24 20 17 13 11 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 15 17 17 16 15 14 14 12 12 11 10 10 9 8 10 14 13 12 11 12 13 10 10 13 13 12 11 11 12 12 10 7 5 7 10 11 9 8 10 11 11 12 12 11 10 11 11 13 12 12 11 9 9 10 10 10 10 10 10 10 11 8 7 11 16 18 19 22 25 26 23 22 22 19 15 12 12 12 11 11 13 12 10 6 nan
nan 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 13 14 15 17 19 23 23 20 16 13 11 10 11 10 10 10 10 10 9 9 10 10 11 11 11 12 12 12 12 12 12 13 14 14 16 18 18 15 14 13 12 11 11 10 10 10 10 9 10 11 12 12 13 15 13 11 12 13 12 13 14 14 13 9 7 8 11 12 12 11 10 10 11 11 11 11 11 10 11 12 13 13 12 11 10 10 10 10 11 11 10 10 11 11 8 5 4 7 9 10 11 12 14 16 19 23 25 23 20 19 16 14 12 13 13 11 9 nan
nan 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 13 15 15 17 19 22 22 20 17 13 12 11 11 11 10 11 10 9 9 9 9 10 11 11 12 12 12 12 12 12 13 14 14 13 14 16 17 16 15 13 11 10 10 10 10 10 11 10 11 10 10 11 12 13 14 14 14 14 14 14 13 13 11 9 9 10 11 10 10 9 9 9 9 10 9 8 9 12 15 16 15 12 11 11 11 10 10 10 10 11 10 9 9 8 7 6 5 4 3 3 3 3 3 6 11 17 22 22 21 21 20 17 16 17 19 18 17 nan
nan 11 11 11 11 11 11 12 11 10 11 12 13 12 12 12 12 11 12 13 13 13 13 13 13 14 15 15 16 19 21 22 21 17 13 12 12 11 11 10 9 9 9 9 10 9 9 10 10 12 12 12 12 11 12 14 15 15 14 13 13 15 15 14 12 10 9 9 9 10 11 11 13 12 9 9 11 13 13 14 14 14 14 13 12 11 10 8 8 8 9 9 9 9 7 8 9 10 9 7 7 10 15 17 16 13 12 10 10 11 10 11 11 10 9 8 7 6 7 6 7 7 7 5 3 2 -0 -2 -1 0 6 12 16 19 20 20 18 18 20 22 23 23 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
53 59 61 60 60 58 54 50 47 45 47 49 50 49 48 46 46 49 51 49 43 35 31 26 19 11 4 0 0 2 6 4 2 3 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 1 3 6 8 8 8 10 13 16 17 16 16 19 25 34 43 49 54 54 50 44 46 57 59 53 44 36 25 16 11 10
23 33 42 47 51 51 50 48 44 41 44 47 50 53 56 59 59 58 56 49 40 32 30 28 22 15 6 0 0 1 5 5 4 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 0 0 0 0 0 0 1 3 4 4 4 3 4 5 8 8 9 10 14 22 35 48 58 64 66 61 53 58 65 64 56 46 36 26 17 13 12
3 8 21 31 38 42 45 47 44 41 42 45 49 54 61 70 76 76 70 59 44 34 32 32 29 21 10 1 0 0 2 4 5 6 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 1 0 0 0 0 0 1 1 2 3 5 8 17 30 44 56 64 69 67 67 71 72 66 56 47 38 29 22 17 14
0 1 4 15 25 33 40 45 44 43 45 47 50 54 62 73 83 88 85 72 54 39 35 35 34 29 16 5 1 0 0 2 4 7 9 6 4 2 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 1 4 10 20 32 44 53 60 67 74 79 77 65 56 49 43 36 30 24 19
0 0 0 5 13 22 32 40 42 44 47 50 53 54 59 69 80 88 88 78 60 44 35 32 33 34 26 13 4 0 0 0 2 6 9 7 4 2 1 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 0 0 0 0 0 0 0 0 0 0 1 4 10 19 27 36 48 63 76 79 70 58 50 47 45 42 38 33 26
0 0 0 1 4 10 20 32 39 43 47 52 55 54 55 61 70 78 80 74 60 46 32 23 24 35 35 26 14 5 2 0 3 6 9 9 6 3 2 2 2 3 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 8 14 21 36 57 74 70 56 43 38 40 43 42 41 39 33
0 0 0 0 0 2 6 19 28 35 43 50 52 50 49 52 58 66 71 67 59 48 37 26 24 36 41 38 29 19 10 4 5 8 12 12 10 5 4 5 4 3 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 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 1 4 9 20 40 55 49 36 25 23 31 35 38 40 41 39
0 0 0 0 0 0 1 7 15 24 33 41 44 43 42 43 48 55 63 62 57 52 47 44 44 42 42 40 36 30 20 11 7 7 11 15 12 8 6 8 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 1 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 1 5 13 20 20 13 8 9 17 25 31 36 40 39
0 0 0 0 0 0 0 2 4 10 18 26 30 31 32 35 39 46 53 54 53 51 51 52 51 46 39 35 34 32 24 15 9 8 13 21 18 13 10 9 11 10 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 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 1 0 1 0 1 2 5 11 19 27 32 34
0 0 0 0 0 0 0 0 0 2 5 11 14 18 22 27 31 37 42 46 48 48 49 52 53 46 36 28 28 30 24 14 8 8 14 21 23 18 13 10 12 15 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 19 23
0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 17 21 27 33 38 41 42 44 49 52 47 37 29 29 26 19 10 3 3 9 15 18 17 14 11 15 16 15 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 1 4 7 9
1 1 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 17 25 31 34 33 37 44 48 46 39 33 32 26 16 6 1 0 2 7 10 11 11 10 10 12 12 9 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 1 2
3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 2 4 10 18 25 29 32 36 42 45 45 41 36 35 30 20 6 0 0 0 1 3 6 6 8 10 13 14 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
4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 6 13 21 28 34 39 43 46 47 44 39 37 34 27 13 3 1 0 0 1 3 6 10 14 18 20 18 9 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
2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 29 35 40 45 49 50 48 44 39 36 30 21 10 3 0 0 0 2 5 12 19 26 29 24 16 12 10 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 0 0
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 3 7 17 26 32 39 46 52 53 52 49 44 39 32 24 16 9 4 2 2 2 7 14 20 25 27 27 25 24 23 18 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
1 1 0 0 0 0 0 0 1 2 2 4 5 3 2 3 4 4 6 14 20 28 37 46 53 57 57 56 52 46 33 25 21 19 16 12 10 8 10 14 17 19 21 24 28 28 24 20 9 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
5 3 2 1 2 2 2 3 4 6 8 12 15 12 9 8 8 8 11 15 19 26 36 46 54 59 62 62 59 51 35 26 23 25 30 33 32 28 22 18 18 17 16 20 24 25 19 15 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
12 11 10 9 8 7 6 7 8 10 12 16 19 19 18 16 14 14 16 18 22 29 38 46 54 61 65 65 60 50 36 28 25 28 37 48 55 56 50 39 22 19 16 15 17 19 16 12 7 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
17 17 18 18 17 14 12 11 11 12 14 16 19 22 24 24 23 23 24 26 28 33 40 46 52 57 61 60 54 43 33 27 25 29 39 52 66 74 70 50 34 22 16 12 10 9 10 9 7 4 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
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