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 7 6 6 6 5 5 5 5 6 6 6 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 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 10 16 22 21 13 7 7 6 5 4 4 5 6 6 7 8 9 8 8 9 6 -1 -7 -7 -1 5 7 7 8 8 8 7 6 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 8 9 9 7 5 3 3 3 4 5 5 4 4 4 4 4 4 2 1 0 2 6 12 18 23 nan
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nan 7 8 8 7 7 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 7 7 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 5 5 5 7 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 11 10 10 10 10 8 6 5 5 6 7 7 7 8 8 10 10 9 7 5 3 3 3 5 5 6 7 9 10 11 13 17 19 18 16 14 13 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 nan
nan 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 7 7 7 7 7 6 7 7 7 7 7 6 5 5 6 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 9 10 9 8 7 6 7 7 7 8 8 9 10 11 12 11 8 6 4 4 3 4 4 4 4 6 8 9 11 15 21 24 23 20 18 16 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 nan
nan 8 7 7 6 7 8 7 7 6 7 7 7 8 8 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 8 7 7 7 6 7 7 7 7 7 7 6 5 6 7 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 10 10 10 9 6 5 5 6 6 6 5 5 7 8 8 7 9 14 20 23 24 25 26 24 22 20 17 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 nan
nan 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 8 8 7 7 7 7 6 6 7 9 8 8 7 7 7 8 9 9 8 9 9 9 9 8 8 9 9 8 8 7 7 8 9 10 10 10 9 9 8 7 7 6 5 5 5 6 7 7 6 6 8 10 10 7 4 6 9 12 16 20 26 31 32 30 26 20 15 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 7 8 8 7 7 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 8 8 8 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 11 11 10 9 8 7 7 6 4 4 5 6 7 7 7 8 10 12 9 4 4 5 7 8 11 16 22 26 27 27 23 18 13 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 nan
nan 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 8 8 8 9 8 8 8 8 7 7 8 9 10 10 11 11 10 10 10 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 7 6 5 7 7 7 8 8 10 12 11 7 5 5 7 8 8 10 14 16 17 16 15 14 12 13 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 nan
nan 7 8 9 9 8 8 8 8 7 7 6 6 6 7 7 8 7 7 6 7 7 7 6 6 7 8 8 8 7 7 6 7 7 8 9 8 8 8 8 7 7 8 8 9 9 10 10 11 11 12 12 12 11 10 8 7 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 9 11 13 14 10 7 6 7 8 9 10 11 12 12 11 10 8 8 11 15 18 18 16 14 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 nan
nan 7 8 9 9 8 8 8 8 7 6 6 6 7 7 8 7 7 6 6 7 8 7 7 8 9 10 10 9 8 8 7 7 7 8 8 9 9 8 8 7 8 8 8 8 8 9 10 10 11 12 12 12 11 9 8 7 8 8 8 7 7 7 8 9 10 10 10 10 9 9 9 8 8 7 7 6 6 6 7 8 9 9 9 10 12 13 11 8 6 7 8 9 9 9 9 10 10 10 9 8 9 12 17 19 20 19 17 15 13 13 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 nan
nan 7 8 9 9 8 8 8 8 7 6 6 7 7 7 7 8 8 7 8 8 8 8 8 9 10 10 10 9 8 8 8 7 7 7 8 8 9 9 8 8 9 9 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 8 9 10 11 12 12 10 7 5 6 7 8 9 8 8 9 11 11 11 10 9 10 12 13 15 17 19 20 19 16 14 13 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 7 8 8 8 7 7 8 8 6 6 7 7 7 7 8 8 8 8 8 8 7 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 10 10 9 8 8 8 8 8 8 9 9 8 8 9 11 13 14 15 15 14 13 12 12 11 9 8 9 10 11 11 11 10 9 7 6 6 6 6 6 7 7 9 10 12 12 10 8 5 5 6 8 8 8 8 10 12 13 13 11 10 10 10 9 9 10 13 16 18 20 19 17 16 15 15 14 14 13 12 11 10 10 9 9 8 8 8 7 8 8 8 7 8 8 8 nan
nan 7 7 7 7 7 7 8 8 7 6 7 7 7 8 8 8 8 9 9 8 8 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 10 11 10 8 6 6 7 7 7 8 8 8 8 9 10 11 12 13 14 14 15 15 14 13 12 10 10 10 11 11 12 11 10 8 6 6 6 6 6 6 5 6 7 9 10 10 9 7 7 7 8 9 9 9 10 12 14 15 13 10 8 8 6 5 5 6 7 10 13 16 19 20 21 21 22 21 20 16 13 10 10 9 9 8 8 7 7 7 8 8 8 7 7 8 8 nan
nan 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 11 11 9 6 5 5 6 7 8 9 9 9 9 10 10 11 11 12 12 13 14 14 15 14 14 13 13 12 11 11 11 10 8 6 6 6 7 7 7 6 5 6 7 8 9 8 8 8 9 10 11 10 10 10 12 14 14 13 10 8 7 6 5 4 4 4 5 6 9 13 16 19 22 24 24 23 21 16 11 10 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 nan
nan 6 6 6 6 7 8 8 8 8 7 7 7 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 9 10 11 11 9 6 6 6 7 8 9 9 9 9 9 9 10 10 10 11 11 12 13 14 15 14 14 14 14 12 10 9 9 8 7 6 6 7 7 7 7 6 6 7 7 7 8 8 8 9 11 12 13 12 12 12 12 12 11 9 7 8 7 6 5 5 5 5 7 8 9 10 11 14 16 18 17 15 10 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 6 6 6 6 7 8 8 8 8 8 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 7 7 7 8 10 11 11 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 10 11 12 13 13 13 13 12 11 9 8 7 7 6 6 7 7 8 7 6 6 6 7 7 7 7 7 7 8 10 11 12 13 13 13 13 13 12 9 8 8 8 8 7 7 6 7 8 9 10 10 9 9 10 11 12 10 6 1 -0 4 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 6 6 5 6 7 7 8 9 9 8 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 8 7 5 4 4 5 6 6 6 7 9 10 11 11 11 9 8 8 8 8 8 9 8 8 7 7 7 7 8 8 9 9 10 10 9 9 9 9 8 7 7 6 6 6 7 7 8 8 7 6 6 7 7 7 6 6 7 8 9 9 10 11 11 13 13 13 13 11 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 7 3 0 2 6 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 nan
nan 7 6 6 6 7 7 8 8 9 8 7 6 6 7 7 8 9 9 9 9 9 9 9 8 8 9 8 7 5 3 4 5 5 5 6 7 9 10 11 12 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 8 7 6 6 7 8 8 7 7 7 7 7 6 7 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 8 9 10 11 11 11 10 10 9 9 10 11 10 8 4 3 4 8 12 14 13 11 10 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 7 6 6 6 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 9 7 4 3 4 4 5 5 6 7 8 9 10 11 12 11 11 11 10 8 8 8 7 7 7 7 8 8 7 7 6 6 6 6 5 6 7 8 10 11 13 12 11 9 7 6 7 8 9 9 8 7 7 7 9 11 12 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 10 11 11 11 11 10 9 8 8 9 9 8 6 5 6 12 18 22 22 19 16 13 11 10 10 9 9 9 10 10 10 10 10 10 nan
nan 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 8 6 4 4 5 5 5 6 6 6 6 7 9 11 12 13 13 13 11 9 8 8 7 7 7 7 7 6 6 5 5 5 5 6 6 7 8 9 11 13 13 13 11 11 10 9 9 9 9 8 7 6 6 9 12 13 12 11 10 9 8 8 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 10 14 20 25 26 25 22 20 18 14 11 10 10 10 10 10 10 10 10 10 10 nan
nan 8 7 6 6 7 7 7 8 8 8 9 8 8 7 7 7 7 8 9 10 9 9 8 9 9 10 8 6 5 7 7 7 6 6 6 5 6 7 9 11 12 13 14 14 12 10 10 9 8 6 5 5 5 5 5 4 4 5 6 6 6 7 8 9 10 11 10 10 11 11 12 12 12 10 9 8 6 6 8 10 12 11 10 8 8 6 6 7 9 11 11 11 11 11 10 9 9 10 10 11 11 11 11 11 10 10 10 9 9 8 9 10 12 15 18 19 19 19 20 21 20 16 12 10 10 10 10 10 10 10 10 10 9 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 9 9 8 7 7 8 8 8 7 6 5 5 6 8 10 11 12 13 14 14 13 12 11 10 8 6 6 6 6 5 5 4 5 6 6 6 7 8 8 8 8 8 8 8 10 11 12 12 12 10 9 8 7 8 10 10 10 8 6 6 5 5 6 8 10 11 11 11 10 10 9 10 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 15 16 15 12 11 10 10 10 10 10 9 10 10 9 nan
nan 8 8 8 8 7 7 7 8 8 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 9 8 8 8 8 8 8 7 6 5 6 7 9 10 10 11 12 13 13 13 13 13 12 9 8 8 8 8 7 6 6 6 6 6 7 7 8 7 7 7 7 7 8 10 11 11 12 11 10 9 8 8 10 11 10 8 6 5 4 3 3 5 8 9 9 9 9 8 9 9 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 9 8 7 6 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 8 9 8 8 7 7 7 8 8 8 7 7 7 8 8 7 8 9 9 9 9 8 9 8 8 8 8 7 7 7 8 8 8 8 8 7 8 8 8 9 10 11 12 12 12 13 13 12 10 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 9 10 11 12 12 11 10 9 10 11 11 10 8 7 5 4 3 4 6 6 7 7 7 7 7 8 10 11 10 10 10 11 11 10 10 10 11 11 11 11 12 12 11 10 9 9 8 5 2 -2 -4 -4 -3 -1 3 7 8 9 9 9 9 10 10 10 9 nan
nan 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 9 9 8 8 8 9 8 8 8 8 7 6 7 7 8 9 9 9 8 7 7 8 9 10 10 10 10 10 11 12 12 11 10 10 9 8 7 6 5 5 4 4 5 6 6 7 7 7 7 7 8 9 9 10 11 12 12 12 12 12 12 11 10 9 8 7 7 7 8 8 8 7 7 6 7 7 9 10 9 8 9 10 11 11 11 10 10 9 9 10 12 13 12 11 9 9 9 8 5 1 -2 -4 -4 -4 -1 4 7 9 9 9 10 10 10 10 10 9 nan
nan 8 8 9 9 8 8 8 9 9 9 8 7 6 7 8 8 9 9 9 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 7 8 10 10 10 9 9 9 9 10 11 12 11 10 10 9 8 7 6 6 5 3 2 2 4 5 7 7 7 7 7 8 8 9 10 11 11 12 13 13 12 11 10 10 10 10 11 11 11 11 10 10 9 7 7 7 8 8 7 8 9 10 11 11 11 11 10 9 10 11 12 11 10 8 7 8 8 8 8 7 7 7 6 5 6 8 9 10 10 10 10 10 10 10 10 9 nan
nan 8 8 9 9 9 9 8 9 9 9 8 7 6 6 7 8 9 9 9 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 6 5 6 7 8 9 10 10 9 9 9 8 8 9 10 11 11 12 12 13 13 12 11 10 8 5 3 3 4 6 7 7 7 7 7 7 8 8 9 9 10 12 13 13 11 10 10 10 11 12 12 12 11 12 12 11 9 7 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 10 8 7 7 8 9 9 10 11 13 15 16 14 12 9 9 9 10 10 10 10 10 10 9 9 9 nan
nan 8 8 9 9 9 9 9 8 9 9 8 6 6 6 7 8 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 10 10 10 9 8 7 7 7 8 9 10 11 13 15 16 16 16 16 15 13 10 8 7 7 7 7 7 7 6 6 6 7 7 8 10 11 12 12 10 10 10 10 11 11 10 11 11 13 13 12 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 7 8 10 11 11 12 13 14 15 16 14 10 7 7 8 9 10 10 10 9 9 9 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
16 16 15 14 15 19 20 24 31 35 39 40 40 42 44 45 45 47 49 49 50 50 50 51 51 51 52 54 57 61 65 66 65 64 62 60 60 59 60 62 62 63 65 67 69 70 71 72 71 70 69 67 62 56 51 48 45 42 38 31 24 17 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 10 9 9 9 5 4 5 3 2 1 0 0 1 1 2 2 3 6 12 18 26 32 34 33 31 30 32 38 54 96 139 173 215 337 541 754 912 937 827
7 7 7 7 11 17 21 25 28 33 37 38 39 41 42 43 44 45 47 49 50 50 50 51 51 50 50 51 52 54 61 62 64 65 64 62 61 60 59 59 58 60 61 61 62 64 64 64 64 64 65 64 62 56 50 47 45 44 41 38 33 24 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 3 8 11 12 9 10 11 7 5 6 6 6 4 2 1 1 2 3 4 4 4 9 15 22 30 34 34 32 29 28 31 37 55 89 128 154 203 329 513 743 919 943
5 5 5 5 8 12 17 22 26 31 36 38 38 40 41 42 42 44 44 45 46 48 48 49 50 50 50 49 50 50 53 56 59 58 56 57 57 55 57 58 54 55 55 56 55 55 55 56 56 57 57 55 56 52 47 42 41 41 40 39 36 32 11 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 2 5 9 12 14 11 11 12 10 7 7 8 10 9 7 4 2 3 4 5 4 4 7 12 18 25 33 34 33 29 27 27 29 34 50 80 116 143 188 292 509 731 871
3 3 3 3 5 9 14 20 25 30 33 35 34 36 38 39 41 43 44 45 46 47 48 48 48 47 48 48 49 49 50 52 52 52 54 56 53 50 49 49 46 46 47 47 46 44 44 45 48 48 48 47 47 46 43 38 35 34 34 36 35 34 18 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 1 2 5 10 13 15 14 13 13 12 10 9 11 13 13 12 8 6 5 4 4 4 5 6 9 15 20 29 33 32 29 27 25 26 28 35 50 75 107 129 176 321 512 711
3 3 4 4 4 7 11 15 21 26 28 30 31 34 35 35 37 40 42 44 45 45 46 45 45 44 44 46 47 48 49 50 49 49 50 50 51 50 49 46 42 40 39 38 37 37 36 36 36 38 39 39 38 37 35 32 29 26 26 27 24 20 24 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 15 18 17 15 14 14 13 13 14 17 17 16 12 10 7 5 5 5 5 6 7 12 17 23 29 32 30 27 25 25 26 29 33 43 65 91 124 199 327 523
2 3 4 3 5 6 8 12 17 21 24 28 31 33 34 34 39 37 40 47 45 39 40 41 42 41 40 42 44 45 47 47 47 48 48 47 45 46 47 45 41 37 35 33 32 31 30 30 31 31 31 29 27 26 26 26 23 20 20 20 14 12 18 15 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 3 6 11 15 17 17 16 15 16 17 18 18 21 20 18 15 13 10 8 7 7 6 7 7 11 15 20 25 30 31 28 25 24 25 28 29 33 43 57 79 119 192 325
1 0 0 1 4 5 6 9 13 16 19 22 24 25 27 28 32 32 35 39 38 36 35 37 37 37 35 36 38 39 41 42 42 41 42 42 41 40 41 40 37 34 31 27 24 23 23 22 24 23 24 24 23 23 24 24 22 19 18 18 10 7 7 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 1 2 4 7 12 16 18 18 17 18 19 22 24 21 22 22 20 18 16 14 12 11 9 8 9 9 11 13 18 23 27 30 30 27 24 25 27 28 29 33 39 51 72 113 191
0 0 0 1 2 4 6 8 11 13 16 17 17 18 20 21 22 24 26 27 29 32 34 34 34 35 33 32 33 34 35 35 35 34 34 34 33 33 33 32 32 30 26 21 18 16 15 13 13 14 15 16 17 18 20 21 21 20 17 18 11 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 13 18 20 21 21 20 21 22 22 24 24 24 24 23 20 18 16 16 16 13 11 10 10 11 12 15 19 24 28 31 29 26 26 27 28 29 30 31 36 48 69 115
0 0 0 0 0 2 5 8 11 13 16 13 13 15 16 16 18 19 19 19 20 21 25 27 31 31 31 32 32 31 31 31 31 30 30 29 29 29 27 27 26 25 22 20 17 14 12 10 9 9 10 10 11 13 15 17 19 20 18 17 12 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 1 2 5 12 18 21 24 25 25 24 24 25 26 27 29 29 29 27 22 19 18 21 21 20 14 11 10 10 10 11 15 19 25 29 29 28 28 28 28 29 30 30 29 34 47 66
0 0 0 0 0 1 2 6 9 11 14 10 9 11 14 14 15 16 15 13 15 16 15 18 23 26 30 33 30 27 28 27 25 24 26 26 25 24 22 20 18 17 15 15 14 13 12 10 10 9 9 9 9 11 12 13 14 16 16 17 15 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 2 3 4 9 14 17 20 24 27 30 30 28 28 29 31 33 31 30 28 23 21 22 23 23 22 16 12 11 10 9 9 10 14 20 25 27 29 30 30 30 30 30 30 29 28 32 42
0 0 0 0 0 0 0 2 4 6 9 10 11 11 13 14 16 19 17 10 12 12 10 12 15 19 25 29 27 24 26 23 19 18 18 17 16 16 14 12 11 10 7 7 6 8 8 8 9 10 10 9 9 10 10 11 11 13 13 14 14 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 3 5 8 12 15 16 19 26 29 32 33 33 33 32 32 33 32 29 27 25 23 24 23 24 22 18 15 12 10 9 7 7 9 15 20 24 27 29 31 31 30 29 29 29 27 27 31
0 0 0 0 0 0 0 0 2 3 4 6 7 8 8 8 8 10 12 13 14 11 8 9 11 13 17 22 22 21 24 20 18 17 16 14 13 11 9 8 6 6 4 4 3 3 4 4 6 8 9 10 10 9 10 10 10 11 10 9 8 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 2 4 7 13 16 16 16 20 30 33 36 38 38 38 37 36 34 33 31 29 27 24 25 25 25 24 22 18 14 11 10 8 7 8 11 16 21 25 29 32 31 30 28 28 28 28 28 29
0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 4 6 8 10 11 8 7 8 9 10 12 15 18 18 20 19 19 18 16 14 12 9 8 7 4 3 3 2 1 1 2 2 3 4 7 11 11 9 9 9 9 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 2 6 11 17 21 19 19 25 33 38 41 44 43 42 42 40 38 35 34 32 29 26 25 25 26 26 24 22 17 13 10 8 7 6 7 11 16 21 27 30 30 29 28 27 27 27 29 30
0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 3 5 9 10 7 7 7 8 9 11 12 13 13 14 13 14 14 14 12 8 6 4 2 1 1 1 0 1 1 2 2 4 6 8 9 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 1 4 7 13 19 22 22 24 29 37 42 46 49 49 49 48 46 42 40 37 34 32 29 26 25 26 27 26 24 21 17 12 9 8 7 6 7 10 15 22 25 27 28 27 26 26 27 29 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 7 8 5 5 6 7 8 8 9 9 8 9 9 8 7 6 4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 4 6 8 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 22 26 28 30 36 42 45 50 53 55 55 56 53 45 45 41 37 34 31 29 27 27 28 27 26 24 21 16 12 10 7 6 5 5 9 16 21 24 26 26 26 26 27 29 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 5 5 5 4 5 6 7 7 8 8 7 6 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 14 22 30 34 35 39 43 47 53 58 60 62 62 60 52 49 45 41 38 34 32 31 30 29 29 29 26 24 21 18 14 9 7 6 4 6 10 14 19 22 24 26 26 27 28 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 4 5 6 7 6 7 6 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 21 26 32 37 42 45 50 57 63 62 64 65 64 61 57 50 45 43 39 36 34 32 30 30 30 28 25 23 21 18 9 7 6 5 5 6 9 14 19 21 23 25 27 29 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 3 3 4 5 5 5 5 4 4 3 3 2 1 1 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 1 0 0 0 0 1 6 11 14 21 25 30 36 42 46 51 58 67 66 67 67 67 66 63 56 49 47 43 40 38 35 33 32 31 29 27 25 23 19 13 9 7 5 5 4 6 10 16 19 21 21 24 27 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 3 3 4 4 4 4 3 3 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 1 2 2 3 3 4 9 12 16 22 26 30 34 40 45 50 58 68 72 73 73 71 70 68 62 57 52 46 44 42 39 37 36 34 31 29 29 25 22 17 12 9 7 5 4 4 7 12 17 19 19 22 26 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 2 3 3 3 3 3 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 1 3 5 6 7 8 8 11 14 17 19 23 27 31 33 37 43 48 57 66 72 76 78 77 75 71 66 63 59 54 50 47 45 43 40 36 32 30 29 26 22 19 15 12 10 7 5 4 5 8 13 16 19 22 26 30
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 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 8 11 13 14 18 18 19 21 22 24 26 29 31 34 40 46 52 61 70 77 80 80 79 75 71 68 64 61 56 52 49 48 43 39 33 30 28 25 23 21 18 14 12 10 8 7 7 8 10 14 17 20 26 28
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 2 1 1 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 15 19 22 24 26 26 26 26 25 24 27 29 31 33 37 44 49 56 65 73 79 82 83 80 78 75 72 67 62 58 55 53 47 44 38 33 28 26 26 23 21 18 15 13 11 10 9 9 9 11 15 17 24 29
0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10 16 22 24 26 29 31 33 33 33 31 31 32 32 32 34 36 42 47 52 59 68 77 82 86 84 82 81 79 75 70 64 62 55 52 50 45 38 31 28 30 29 26 23 20 16 14 13 11 10 9 9 13 16 20 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 21 27 28 27 29 31 35 38 39 39 40 39 39 37 38 37 40 44 49 55 63 73 81 84 85 85 84 82 80 77 71 67 61 58 56 51 44 38 34 33 33 32 29 24 20 17 15 12 11 9 8 11 14 17 22
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 11 18 25 31 29 29 33 34 38 43 45 47 46 45 45 43 42 40 40 43 47 52 61 70 77 81 85 86 85 85 83 82 80 75 68 66 62 55 49 44 39 35 35 35 32 28 25 22 18 14 12 11 10 10 12 15 20
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 10 17 22 31 36 36 36 38 41 46 53 62 64 64 62 59 56 51 47 46 45 47 50 55 64 70 76 83 90 88 89 89 86 86 86 86 82 75 66 60 54 49 45 39 34 32 36 38 33 29 26 21 17 14 11 10 13 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 12 19 23 31 36 37 39 42 45 49 56 66 70 71 70 67 64 59 54 50 48 48 49 54 62 69 75 80 87 93 94 95 91 90 92 92 88 81 72 66 64 61 53 44 37 34 38 43 42 38 32 25 20 17 13 10 10 14
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