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 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 7 7 8 10 12 13 15 17 18 17 16 15 16 16 17 18 19 19 17 14 10 6 3 1 2 4 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 6 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 6 nan
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nan 2 2 2 3 3 4 3 3 3 3 3 3 4 4 4 5 6 7 8 9 10 10 10 10 11 12 13 13 13 13 13 14 14 14 14 15 14 13 12 10 8 7 6 7 9 10 8 7 7 7 7 8 7 8 8 9 10 11 11 12 11 9 8 7 6 6 6 6 6 7 7 6 7 7 7 7 7 6 5 3 1 3 4 6 6 6 7 7 9 10 13 16 20 21 20 20 19 16 13 11 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 6 6 6 5 5 5 5 5 nan
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nan 8 8 8 8 9 9 8 6 6 7 7 8 8 8 7 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 8 6 3 2 3 3 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 5 3 2 3 4 5 6 7 8 9 9 8 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 nan
nan 9 8 8 9 10 10 9 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 6 6 5 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 7 5 3 2 2 3 4 6 7 8 8 8 7 7 6 6 7 7 7 6 7 7 7 7 7 7 6 5 5 4 4 5 6 8 9 10 9 8 6 5 4 5 5 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 nan
nan 8 9 10 11 11 10 8 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 5 6 8 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 11 10 8 6 4 3 2 2 3 4 6 7 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 8 7 6 6 6 5 5 5 7 10 12 11 10 8 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 11 11 10 10 9 7 5 5 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 6 8 9 8 8 8 8 8 9 10 10 10 9 9 10 10 11 11 11 9 8 6 4 2 2 2 3 4 6 7 9 9 8 7 7 6 6 6 7 6 6 6 6 7 8 7 5 4 6 7 6 6 6 9 12 13 11 9 7 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 9 8 8 8 6 5 5 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 8 8 7 7 8 9 9 8 7 7 7 7 7 6 7 8 9 10 9 8 8 8 9 10 10 10 9 9 10 10 11 11 11 10 9 7 5 3 2 2 3 4 5 6 7 8 8 8 8 7 6 6 6 6 6 6 6 6 7 8 6 4 4 5 6 7 7 8 10 11 11 10 8 5 3 5 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 8 6 5 6 7 7 7 7 7 7 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 6 7 7 8 8 10 10 10 9 8 8 8 10 10 10 9 9 9 10 10 11 11 11 9 8 6 4 3 2 3 3 5 6 7 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 7 5 4 5 5 6 7 9 10 10 10 9 8 6 4 4 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 9 10 9 7 6 5 6 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 7 6 5 5 6 6 6 7 7 8 9 9 10 10 10 9 9 9 10 11 11 10 9 8 9 9 10 11 11 10 9 7 5 3 3 2 2 3 5 6 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 7 6 5 4 5 6 6 7 9 10 10 9 8 7 5 5 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 9 10 11 10 7 5 5 5 6 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 5 6 7 7 7 6 5 5 5 6 6 6 7 8 9 10 10 10 10 9 9 10 11 12 11 10 9 8 8 9 11 11 11 10 8 5 4 3 3 2 2 3 5 6 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 7 5 4 5 5 6 6 7 8 9 9 9 7 7 7 8 9 9 8 8 8 9 9 8 8 8 9 9 9 10 10 9 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 nan
nan 9 10 9 7 5 4 5 6 6 7 8 9 9 8 8 9 9 10 10 10 8 7 7 6 6 6 6 5 5 6 7 7 8 7 6 5 5 6 6 7 8 9 11 11 11 10 9 9 10 12 12 12 11 10 9 9 10 11 11 11 9 7 5 3 3 3 3 3 4 5 6 7 7 7 8 8 8 8 7 7 6 6 7 7 7 7 6 4 4 5 6 6 6 7 8 9 9 8 7 7 8 9 9 8 8 8 9 10 9 9 9 9 10 10 11 11 10 9 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 nan
nan 9 9 7 5 3 4 6 6 6 7 8 8 8 8 9 10 10 10 10 9 8 8 7 7 7 7 7 6 5 6 6 7 8 8 7 6 6 6 6 7 8 10 11 11 10 10 9 9 11 12 12 12 12 11 10 10 10 11 11 10 8 6 4 3 3 3 3 3 4 5 7 7 7 7 8 8 8 7 7 6 7 7 7 7 7 6 5 4 5 5 6 6 6 7 8 9 9 8 7 7 7 8 8 8 8 8 9 9 10 10 11 12 12 13 12 11 9 7 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 nan
nan 8 8 6 5 4 6 7 7 7 7 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 7 6 6 5 6 7 8 8 7 6 6 7 7 8 9 11 11 11 10 9 9 9 10 11 12 12 12 12 11 11 11 11 11 10 8 5 3 2 2 3 3 4 5 6 7 7 7 8 8 8 7 6 6 6 7 7 7 7 6 5 5 5 6 6 6 6 7 8 9 9 8 6 5 6 6 7 7 7 7 7 8 9 10 11 13 14 15 15 13 11 8 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 6 7 8 9 8 7 7 8 8 9 9 10 9 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 7 7 6 7 7 8 9 11 11 10 9 8 8 9 10 11 11 11 11 11 12 12 11 11 11 10 7 4 1 1 2 3 4 5 6 7 7 7 7 8 8 8 7 6 5 6 7 8 8 7 6 6 6 6 7 6 6 6 7 8 8 7 5 4 5 5 6 7 6 6 6 7 8 9 10 11 13 14 15 14 11 8 4 3 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 8 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 9 10 10 10 9 8 8 9 10 10 10 10 10 10 12 12 12 12 11 9 5 2 -0 -0 1 4 5 6 7 7 7 7 7 8 9 8 6 6 6 6 7 8 8 7 7 7 7 8 7 7 6 7 7 8 7 5 4 4 5 6 7 6 6 7 8 9 9 9 9 10 10 11 10 9 5 2 1 2 3 5 7 8 9 9 9 9 9 8 8 8 8 8 8 nan
nan 8 7 7 8 9 9 8 8 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 9 9 10 9 9 8 7 7 7 6 6 6 6 6 7 8 9 10 9 9 9 9 10 10 10 9 9 9 10 11 12 13 12 10 6 2 -1 -1 1 3 5 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 7 7 7 8 8 8 7 7 7 7 7 7 6 4 5 5 6 7 7 7 7 8 9 10 9 9 8 8 8 8 7 4 0 -2 0 3 6 8 9 10 10 10 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 9 8 8 8 9 9 8 8 8 7 6 5 4 5 5 6 7 7 7 7 7 7 8 9 10 10 9 9 8 7 7 6 6 6 6 6 6 7 8 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 11 8 3 -1 -2 -0 3 6 8 8 8 7 7 6 7 7 8 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 5 5 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 7 5 3 -0 1 4 7 9 11 11 11 10 10 9 9 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 9 10 9 8 7 7 7 6 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 6 6 6 6 6 7 8 9 9 10 11 11 11 10 9 9 9 9 10 10 10 9 5 1 -1 -0 3 6 9 10 10 9 7 6 6 6 7 7 7 7 7 7 7 6 7 8 8 8 8 7 7 7 7 7 7 6 6 5 5 6 6 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 5 3 2 6 10 12 13 13 12 11 10 10 9 8 7 7 6 6 6 6 7 nan
nan 8 7 7 7 8 10 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 6 6 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 8 6 3 1 1 3 6 10 12 12 11 10 8 7 6 6 7 7 8 8 7 6 6 6 7 9 9 9 8 7 7 7 7 6 6 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 6 6 9 13 15 15 14 13 12 11 10 8 7 6 6 5 5 5 6 6 7 nan
nan 8 7 8 9 11 11 11 10 9 8 7 7 7 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 10 10 10 10 10 9 8 7 6 4 4 4 7 10 12 13 13 11 10 9 8 8 8 8 8 8 7 6 5 5 7 9 9 9 8 7 7 6 6 6 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 10 13 16 16 14 14 13 12 11 8 7 5 5 4 4 5 5 6 7 7 nan
nan 8 9 9 11 11 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 10 10 10 9 8 7 6 5 5 7 10 12 12 12 11 10 9 10 10 10 10 9 9 8 6 5 5 6 8 8 8 7 7 6 6 5 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 12 13 12 11 12 12 11 9 6 5 4 3 4 4 5 6 7 7 8 nan
nan 9 9 10 10 9 9 8 8 7 5 5 6 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 8 8 9 8 8 8 9 8 8 7 6 6 6 7 7 7 7 8 8 8 9 9 9 8 7 7 6 6 6 9 11 12 10 9 9 9 10 11 11 11 10 10 8 7 6 6 6 7 7 6 5 4 5 5 5 5 7 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 6 4 3 3 3 4 5 6 7 7 8 8 nan
nan 9 9 9 8 8 8 8 7 7 6 5 6 7 8 9 9 9 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 8 8 8 7 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 7 9 11 10 9 8 8 9 11 12 12 11 11 9 8 7 6 6 7 8 7 5 4 4 5 4 4 5 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 10 11 10 9 8 8 7 7 6 6 5 4 3 1 0 2 3 4 5 6 6 7 7 8 8 nan
nan 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 10 9 9 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 7 8 9 9 8 8 9 10 11 12 12 12 11 10 9 8 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 9 8 9 9 9 9 9 9 9 9 9 10 12 12 10 9 8 7 7 6 4 2 1 -0 -2 -4 -1 2 4 6 6 6 6 7 7 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 8 6 5 5 6 6 6 7 7 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 6 6 5 5 5 4 4 5 5 6 7 8 8 8 9 10 11 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 6 6 6 7 8 9 8 8 8 9 9 10 9 9 9 9 9 10 11 12 11 9 8 7 8 8 6 3 2 1 1 -0 -0 3 5 6 6 6 6 6 6 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 10 10 9 8 6 6 6 6 6 7 7 8 9 9 8 7 7 6 6 7 8 8 8 8 8 9 8 8 9 8 8 7 7 7 7 7 7 7 7 6 5 5 4 3 2 3 4 5 7 7 8 8 9 9 9 10 10 10 10 11 11 10 10 9 8 9 10 10 11 11 10 9 8 8 8 7 6 6 7 7 7 7 8 9 10 10 11 10 9 9 9 10 11 10 8 7 6 6 7 6 5 5 6 7 7 7 7 7 7 6 6 5 5 6 6 6 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 7 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 7 5 4 4 4 5 6 6 7 7 7 7 7 7 8 9 9 10 11 10 10 8 8 8 9 10 10 10 9 9 10 10 9 7 6 6 6 6 7 8 9 9 10 11 10 10 9 9 10 10 9 7 6 6 6 6 6 5 6 8 10 12 12 10 9 7 6 5 5 5 5 5 6 6 7 7 nan
nan 7 7 7 8 8 8 8 8 8 7 6 6 6 8 9 9 9 9 8 9 9 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 8 8 7 7 7 6 6 6 5 5 5 6 7 8 9 9 9 9 8 8 8 8 9 10 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 9 8 8 9 9 10 11 11 9 7 6 5 4 4 4 4 5 6 6 7 7 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
29 29 24 17 6 0 0 2 9 15 19 24 30 34 37 38 39 39 41 43 42 55 77 103 127 138 132 122 120 112 100 79 55 39 30 26 24 23 26 36 50 64 86 99 104 102 100 111 130 156 200 274 368 475 479 348 212 113 55 32 27 24 31 63 87 85 83 80 76 70 61 47 35 37 47 58 69 83 102 115 120 121 121 156 192 165 173 237 267 270 233 188 161 175 182 165 134 102 80 67 66 69 74 79 90 99 100 87 66 48 29 20 26 32 47 57 79 123 201 321 462 579 656 643 523 464 412 334 243 169 127 106 102 89 108
33 30 17 15 6 2 0 4 11 18 23 28 33 39 42 42 44 46 46 68 91 119 150 177 195 197 190 180 184 169 156 134 113 99 88 78 72 79 98 108 124 147 193 230 256 254 230 207 206 237 314 446 586 725 699 549 365 207 106 55 30 31 56 104 112 107 98 86 79 75 78 76 68 66 72 83 98 117 134 142 150 144 131 162 220 205 175 230 329 372 348 302 272 261 241 205 169 150 132 118 117 110 95 85 81 85 94 97 86 64 40 35 46 51 67 81 98 126 179 264 333 398 407 386 335 292 264 227 171 119 92 81 77 76 97
31 32 24 22 16 7 1 5 13 20 24 29 37 43 46 45 49 63 79 117 159 190 217 235 233 217 218 223 257 255 244 234 223 208 194 194 206 207 204 224 293 377 477 557 595 598 539 416 332 382 535 761 812 734 625 511 381 245 140 75 35 32 92 136 137 130 120 101 94 98 107 114 113 113 117 121 127 146 158 159 165 157 133 132 164 170 170 266 398 501 532 515 471 423 398 379 362 346 289 237 205 167 129 97 81 85 96 103 103 87 63 46 57 71 86 105 120 129 140 190 207 234 241 242 226 189 150 121 93 71 58 61 64 62 70
36 42 34 29 23 10 2 6 15 21 27 37 47 52 67 80 68 84 119 164 206 251 297 325 308 278 317 375 423 423 412 412 430 454 480 525 569 529 527 579 669 758 835 873 861 842 808 720 599 497 511 484 385 333 311 298 269 216 152 99 74 46 84 136 146 155 155 146 145 148 145 147 153 162 166 172 168 168 165 160 160 153 122 104 146 152 172 286 474 594 678 756 801 837 876 908 902 804 612 423 304 228 187 166 135 116 110 106 114 103 79 66 71 82 95 111 124 123 118 136 140 144 150 173 183 159 118 81 64 62 48 55 62 65 71
36 42 41 33 21 6 4 13 22 25 37 67 83 79 91 102 101 123 170 227 284 376 489 554 521 551 654 684 664 663 669 650 681 798 951 1063 1014 967 1023 1093 990 881 773 656 573 558 565 542 432 327 236 141 89 96 109 127 154 167 151 128 128 116 76 92 143 173 177 171 165 162 160 160 165 179 177 179 171 161 153 149 152 145 94 81 128 173 249 360 473 586 751 953 1134 1385 1623 1794 1777 1511 1108 740 517 405 333 287 235 161 127 104 98 89 78 70 71 80 88 96 107 109 107 120 117 109 110 130 151 149 127 95 90 84 73 80 88 89 88
54 61 58 37 19 5 10 20 29 33 50 97 130 127 128 138 162 217 311 437 623 796 859 835 737 774 827 770 722 721 703 655 664 726 746 749 755 767 770 772 714 581 415 251 167 179 196 190 111 62 32 13 8 22 34 40 57 89 113 127 151 176 118 119 155 175 174 163 152 151 155 148 151 159 152 138 124 121 131 144 147 118 72 93 148 224 347 470 601 768 987 1252 1522 1884 2178 2329 2350 2116 1728 1327 1011 753 551 470 360 239 167 121 99 99 103 95 81 89 99 106 124 140 137 146 128 102 96 104 120 128 138 139 141 134 133 147 159 157 152
100 105 82 43 17 4 13 31 43 51 72 124 178 178 180 213 258 345 531 744 932 1069 1060 913 742 598 541 568 584 565 527 500 501 511 479 421 426 453 498 479 426 344 246 160 109 94 86 75 41 13 6 3 2 7 11 9 11 23 47 79 130 186 182 177 178 176 166 148 133 133 135 121 107 95 84 77 80 98 125 138 125 77 67 121 214 300 462 624 786 1051 1391 1665 1828 2034 2062 1974 2042 2139 2077 1881 1614 1239 837 795 620 403 258 189 162 163 167 143 132 163 176 183 196 220 214 182 144 129 122 120 124 133 149 165 182 191 200 221 244 246 244
155 150 105 57 24 15 36 64 75 80 107 146 215 237 245 295 359 438 584 729 802 839 819 725 637 536 493 479 463 437 423 431 455 481 500 502 471 463 478 483 435 343 249 182 139 114 94 112 63 39 22 10 4 4 6 5 4 5 18 35 80 132 160 172 175 170 154 132 113 108 102 85 63 40 29 40 69 100 128 122 86 57 77 156 273 394 588 818 1026 1330 1708 1777 1605 1493 1299 1153 1195 1387 1621 1823 1906 1627 1234 1004 740 505 388 344 315 339 375 334 298 336 349 328 311 326 338 318 279 239 206 196 201 212 220 226 242 262 278 303 339 358 363
203 185 135 83 46 41 68 92 90 93 120 132 220 268 286 328 369 391 423 485 565 624 615 558 522 462 437 411 395 396 417 452 482 497 531 559 491 431 396 424 409 314 213 167 144 113 84 104 64 36 19 10 9 13 15 13 17 28 34 38 55 80 113 139 140 134 125 108 91 85 78 61 41 30 30 44 73 99 124 112 76 56 80 199 343 528 776 978 1097 1292 1417 1236 965 724 548 511 560 651 849 1261 1777 1719 1418 1151 922 739 713 766 807 862 792 674 634 681 703 651 581 551 564 553 502 423 376 370 374 360 338 327 338 369 399 434 482 519 532
263 223 168 112 70 59 73 85 83 90 117 142 234 274 287 310 333 336 340 381 468 577 582 538 484 433 406 397 384 373 392 429 419 419 431 414 391 357 322 300 272 210 143 120 117 95 65 49 22 6 1 2 4 8 14 15 23 31 34 43 50 40 41 67 82 85 82 74 65 61 54 40 26 28 45 60 78 97 112 103 94 78 114 242 406 593 808 946 898 905 764 623 542 487 436 420 428 416 472 779 1282 1516 1542 1411 1246 1185 1217 1232 1193 1094 993 952 1000 1118 1144 1085 1040 1044 1016 895 768 702 650 599 538 492 477 468 488 546 588 627 680 724 753
339 281 205 134 84 64 72 86 83 91 107 133 197 255 286 316 357 364 363 429 521 627 599 533 495 485 488 465 413 364 343 342 281 268 273 284 304 308 291 262 213 145 96 71 69 54 28 10 3 0 1 4 5 5 7 8 11 13 19 26 36 28 9 14 27 35 40 47 49 41 37 28 18 25 40 52 70 87 95 97 114 120 173 318 485 567 638 737 649 574 478 462 510 581 609 533 461 382 384 492 687 830 968 1050 1049 1085 1155 1119 1051 1039 1130 1168 1200 1229 1235 1238 1313 1440 1408 1324 1246 1134 1041 943 855 809 763 745 764 803 832 867 908 944 971
339 283 210 141 93 68 76 101 100 103 119 151 198 252 305 352 393 398 401 490 590 655 587 516 509 533 554 520 431 333 255 189 135 137 162 194 221 223 205 178 143 89 56 39 30 16 8 3 2 2 3 5 7 10 10 8 7 9 12 14 20 21 9 4 6 13 21 36 46 38 29 20 11 10 14 27 59 80 98 106 129 164 236 388 562 488 457 484 467 444 443 468 498 535 564 491 448 400 332 310 342 394 431 456 573 640 630 690 751 847 990 1033 967 900 916 994 1124 1317 1405 1431 1468 1400 1358 1310 1259 1228 1124 1095 1077 1057 1066 1093 1129 1158 1179
280 205 158 120 92 78 86 110 114 110 122 156 204 282 372 453 490 461 419 467 539 554 487 463 449 438 435 401 321 228 147 79 57 66 81 84 82 90 92 79 61 38 27 24 19 14 15 16 12 7 7 9 11 11 12 8 6 6 6 7 9 11 8 4 6 6 9 28 41 37 26 16 7 4 3 13 51 77 95 112 149 225 339 459 478 423 393 389 385 381 396 423 445 483 548 550 543 542 467 420 394 408 486 555 533 528 526 552 589 642 668 643 621 615 602 611 672 725 773 850 967 1074 1133 1165 1168 1174 1154 1103 1085 1108 1130 1158 1222 1291 1284
220 157 110 82 69 63 66 75 80 82 100 147 222 326 433 532 606 617 561 520 491 466 381 389 356 300 253 211 167 115 68 36 29 28 23 13 4 7 16 15 8 5 10 15 19 18 16 15 13 7 6 8 8 6 8 5 2 1 1 1 2 2 1 1 3 4 10 22 28 27 21 16 12 9 9 20 54 91 118 143 188 267 363 409 424 426 423 413 389 365 370 399 413 433 453 501 530 531 487 437 399 389 409 431 469 495 475 471 477 490 506 516 491 445 388 380 400 400 372 362 396 460 515 633 686 675 696 736 825 895 927 959 1019 1079 1149
176 156 96 54 36 25 22 24 40 68 109 167 225 301 379 451 530 621 677 609 483 437 415 372 301 229 176 135 89 45 22 10 6 3 2 0 0 0 0 0 0 0 1 7 12 10 6 4 3 1 1 2 4 3 3 2 0 0 0 0 0 0 0 1 2 2 6 11 14 15 13 15 15 15 17 28 58 91 115 145 201 263 327 352 387 414 411 403 391 379 377 378 367 354 334 355 346 331 299 267 266 300 338 394 427 424 399 372 346 327 320 332 357 369 362 367 386 396 403 404 375 381 389 398 409 423 456 490 523 556 589 635 703 789 894
101 76 45 34 29 17 21 11 42 109 179 231 256 275 304 340 390 476 539 528 462 432 413 361 279 195 128 78 36 10 3 1 0 0 0 0 0 0 0 0 0 0 0 3 6 4 1 0 0 1 5 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 7 10 13 17 20 31 51 65 77 113 180 236 277 311 337 351 350 352 362 366 357 333 299 260 228 210 205 202 193 181 187 232 257 297 323 317 291 255 220 195 184 192 217 243 271 288 297 297 286 286 316 340 348 332 313 313 315 315 312 312 322 351 386 409 474
27 15 11 20 26 35 63 64 88 132 171 202 230 246 279 333 375 486 540 530 497 475 436 345 235 140 62 21 5 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 1 1 1 1 2 3 5 6 10 16 23 32 39 42 58 98 151 195 218 243 261 274 289 308 324 319 294 259 216 177 149 133 130 136 143 151 160 175 178 189 189 175 151 120 90 80 74 67 78 91 98 108 128 143 150 160 183 197 192 197 201 196 186 176 173 160 153 176 187 182 186
2 2 8 9 7 22 54 73 85 72 89 151 232 280 309 370 449 563 620 597 557 494 380 239 129 65 17 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 1 1 3 5 6 7 12 19 25 26 31 54 85 115 150 156 160 171 190 217 244 261 248 213 172 133 102 82 73 72 77 82 88 93 95 88 71 55 46 38 21 11 15 15 7 1 10 25 36 44 53 60 65 76 88 95 99 102 101 96 87 88 87 91 101 121 140 159
6 4 3 2 0 2 12 21 26 29 91 189 264 299 344 445 563 676 699 617 535 411 246 112 47 20 5 0 0 0 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 1 1 2 4 7 8 10 15 20 21 27 40 57 78 89 88 88 95 113 139 162 178 163 131 94 61 41 30 26 24 24 24 24 22 23 20 14 10 6 3 1 0 1 1 0 0 0 2 5 8 12 15 10 15 22 26 29 34 37 38 39 44 49 59 68 83 99 104
7 3 0 0 0 0 0 1 2 28 115 200 244 278 354 472 586 645 626 537 423 268 125 46 18 8 4 2 1 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 1 2 4 7 9 12 14 14 11 14 18 26 36 38 39 42 47 58 78 96 100 88 65 42 24 13 7 4 2 0 1 2 1 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 1 3 5 6 8 7 16 24 33 40 45 52 63
3 1 0 0 0 0 0 1 7 43 112 172 211 252 316 413 506 531 541 446 296 157 68 26 8 3 3 3 2 4 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 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 7 9 10 5 3 5 6 8 11 13 15 19 25 41 49 51 48 38 27 18 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 1 2 1 1 0 0 0 0 0 1 1 5 10 14 17 19 21 26
1 3 5 0 0 0 0 4 17 62 119 153 180 230 271 367 404 424 407 316 184 79 27 7 1 2 3 3 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 0 0 0 0 0 0 1 2 3 3 3 4 6 6 1 0 0 1 2 5 8 12 16 17 26 28 25 20 15 12 9 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 1 1 2 3 4 6 12 25
3 8 10 1 0 0 2 12 36 79 116 121 111 152 263 322 339 360 329 219 100 31 8 1 1 3 3 4 4 4 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 1 2 3 4 4 3 2 2 0 0 0 0 0 1 3 7 11 13 14 13 13 13 11 9 7 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 1 2 6 11
7 11 8 1 0 0 13 55 64 64 71 76 89 145 269 311 310 274 187 95 36 11 4 2 2 4 4 4 5 4 2 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 2 4 5 5 4 3 1 0 0 0 0 0 0 1 2 4 6 7 10 11 11 11 10 8 6 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 1 2 4
8 11 7 0 0 0 10 44 38 22 23 34 64 140 225 240 218 170 99 41 14 5 4 4 4 4 4 3 3 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 1 2 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 3 3 7 9 9 9 9 7 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 1 2
8 9 3 0 0 1 4 13 10 5 5 8 24 73 137 129 106 70 32 10 6 5 6 5 4 3 2 1 0 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 6 7 7 7 6 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
31 33 17 2 1 4 5 5 3 2 2 2 4 14 28 54 43 21 8 4 4 4 4 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 5 3 3 2 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
66 75 53 22 9 4 3 2 1 4 8 2 7 11 10 9 7 5 4 3 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 1 1 3 2 2 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
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