Vorticity
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nan 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 6 8 10 11 12 11 10 9 8 9 9 10 10 10 9 7 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 3 1 1 3 4 6 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 7 8 8 8 7 7 7 7 6 6 6 7 7 7 6 6 5 6 6 5 5 5 6 7 8 8 7 6 5 5 nan
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nan 8 8 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 7 8 8 8 7 7 7 7 8 7 7 7 6 6 5 6 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 10 9 8 7 5 3 3 3 4 5 7 8 8 8 8 7 7 7 7 7 6 6 7 8 8 7 7 7 6 4 3 4 5 6 6 7 8 10 10 9 8 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 9 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 7 8 8 8 8 7 7 7 8 7 7 6 6 5 6 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 9 8 6 4 2 2 3 4 6 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 6 6 7 8 10 11 11 9 8 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 10 10 10 9 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 10 10 10 9 8 6 4 2 2 3 5 6 8 10 10 9 8 7 6 5 5 6 6 6 6 6 7 8 8 7 5 6 7 6 6 6 8 11 13 13 11 9 7 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 10 10 9 9 8 7 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 8 9 9 8 8 8 8 9 10 9 9 9 9 9 9 10 10 10 10 9 7 5 3 2 3 4 5 7 9 10 10 8 7 6 5 5 5 6 6 6 6 6 7 8 8 5 4 6 7 6 6 7 10 13 14 13 10 7 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 8 10 10 10 9 8 8 9 10 10 9 9 8 8 9 9 10 11 10 10 8 6 4 2 2 4 5 6 8 9 10 9 8 8 7 6 5 6 6 6 6 6 7 8 8 6 4 4 6 7 7 7 9 11 12 12 11 8 5 3 5 6 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 8 7 7 8 8 9 9 8 8 7 7 8 8 7 7 7 7 8 8 9 10 11 10 10 10 9 9 10 10 10 9 8 8 8 9 10 11 11 10 9 7 5 2 2 3 4 6 8 8 9 9 8 8 8 7 6 6 6 6 6 6 6 7 8 7 5 4 5 6 7 7 9 10 11 10 10 8 6 4 4 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 7 7 8 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 6 7 7 8 9 9 10 10 10 10 10 10 11 12 12 11 9 8 7 7 8 10 11 11 10 8 6 3 2 1 3 5 7 8 9 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 6 5 5 5 6 7 8 9 10 10 9 8 7 5 5 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 9 8 7 6 7 8 8 8 8 9 9 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 6 7 8 9 9 9 8 7 7 6 7 7 8 9 10 10 10 10 10 10 10 12 13 13 12 10 8 7 8 9 11 11 10 9 6 4 2 1 1 3 5 7 9 8 8 8 7 8 8 8 7 7 6 6 6 6 7 8 7 5 4 5 6 6 7 7 9 10 10 9 8 7 7 8 9 8 7 7 7 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 nan
nan 8 8 7 6 5 5 6 7 8 8 8 9 9 8 8 8 9 9 8 8 7 6 7 7 7 7 7 7 6 6 7 8 9 9 8 7 6 6 6 7 8 9 10 11 11 10 10 10 11 13 13 13 12 11 10 10 10 10 11 11 10 8 5 2 1 1 2 4 6 8 8 8 8 8 7 8 8 8 7 6 6 6 7 7 8 7 6 4 4 5 6 6 7 7 8 10 10 9 8 7 8 9 9 8 7 7 8 9 9 9 9 9 10 11 11 11 10 9 7 6 5 5 6 6 7 8 8 8 8 8 8 8 9 nan
nan 7 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 7 9 10 9 7 7 7 7 7 8 10 11 11 11 10 9 10 11 13 13 13 13 13 12 12 11 11 12 12 10 7 3 1 0 1 3 5 7 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 6 5 5 5 6 6 6 7 7 9 10 10 8 7 7 7 8 8 8 8 8 9 9 9 10 11 12 12 13 12 11 9 7 5 4 5 5 6 7 8 8 8 9 9 9 9 9 9 nan
nan 7 6 5 4 5 6 7 7 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 6 7 8 9 9 7 7 7 7 8 9 10 11 10 10 9 9 9 11 12 13 13 13 13 13 12 12 12 12 12 9 5 1 -1 0 2 5 6 7 8 8 8 7 7 8 8 7 6 5 5 6 7 8 7 6 6 5 6 6 6 6 6 7 8 10 10 8 6 6 6 6 7 7 7 7 7 8 9 10 11 13 14 15 15 13 10 7 5 4 4 5 6 7 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 6 7 8 8 8 8 8 7 7 7 8 7 7 6 6 6 6 6 7 7 7 8 9 10 10 9 8 7 7 8 8 8 7 7 7 8 8 9 10 10 9 9 8 8 9 10 11 12 12 12 13 13 13 13 13 12 11 8 4 0 -0 1 4 6 7 8 8 8 7 7 8 8 8 7 5 5 6 7 8 8 7 6 6 6 7 7 7 6 7 7 9 9 8 5 4 5 5 6 7 6 6 6 7 8 9 10 11 13 14 15 13 11 7 3 3 3 4 6 7 8 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 9 10 9 8 8 8 9 10 10 10 10 10 11 13 14 14 14 12 10 6 2 -0 1 3 6 7 8 8 8 8 7 7 8 9 8 6 5 5 6 7 8 7 7 7 7 8 8 7 7 7 7 7 8 7 5 4 4 5 6 7 6 6 7 8 9 9 9 9 10 10 11 10 8 4 1 0 2 4 6 8 9 10 10 10 9 9 9 9 8 8 8 8 nan
nan 8 8 8 9 8 8 7 8 9 9 8 8 7 6 5 5 5 5 5 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 6 7 8 9 9 9 9 9 9 10 10 10 9 9 10 12 13 14 14 11 7 3 -0 0 2 5 7 8 8 8 8 7 7 8 8 8 7 5 5 6 6 7 8 7 7 7 8 8 8 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 8 10 10 9 9 8 8 8 8 7 4 -1 -2 0 4 7 9 10 10 10 10 9 9 9 8 8 7 7 7 7 nan
nan 9 9 9 9 8 7 7 8 8 9 8 8 7 6 5 4 4 5 5 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 7 7 7 6 7 8 9 9 9 9 10 10 10 10 9 9 9 10 11 12 13 12 8 3 -0 -1 1 4 7 9 10 9 8 7 7 7 7 8 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 5 2 -1 0 4 8 10 11 11 11 10 10 9 8 8 7 7 6 7 7 7 nan
nan 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 6 7 8 9 9 10 10 11 10 10 9 9 9 9 10 10 10 9 5 1 -1 -0 3 7 10 11 11 10 8 7 6 6 7 7 7 7 7 7 6 6 7 8 8 9 8 7 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 5 2 2 6 10 13 13 12 11 10 10 9 8 7 6 6 6 6 6 6 7 nan
nan 10 9 7 7 8 9 10 9 8 8 8 8 8 7 7 6 6 5 5 5 6 6 6 6 6 7 7 8 8 8 8 9 10 9 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 8 6 4 2 1 3 7 10 13 13 12 11 9 7 6 6 7 7 8 8 7 6 5 6 7 9 9 9 8 7 7 6 6 6 6 5 4 5 5 6 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 7 6 6 8 13 15 15 13 12 11 10 9 7 6 6 5 5 5 5 6 6 7 nan
nan 10 8 8 9 10 10 10 9 8 7 7 7 8 8 8 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 8 9 10 9 8 7 7 8 9 8 7 6 7 8 9 9 9 9 9 9 10 10 10 10 9 9 7 6 5 4 5 7 10 12 13 13 12 10 9 9 8 8 8 8 8 7 6 5 5 7 9 10 9 8 7 7 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 10 13 16 16 14 13 12 11 9 7 6 5 4 4 4 5 5 6 7 7 nan
nan 10 9 9 10 10 9 8 7 6 6 6 7 7 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 9 9 9 8 7 7 8 9 9 7 6 6 8 9 8 8 8 8 9 9 9 10 10 9 8 7 6 5 5 7 10 12 12 11 10 9 9 10 10 11 11 10 9 8 6 5 5 6 8 8 8 7 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 11 12 13 12 11 11 11 10 8 6 4 4 4 4 5 5 6 7 7 8 nan
nan 9 9 9 9 8 8 7 6 5 5 5 6 7 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 6 7 8 8 8 8 7 7 9 9 9 8 7 7 8 8 8 8 7 8 8 8 8 9 9 8 7 7 6 5 6 8 11 11 10 8 8 8 9 11 12 12 11 10 9 7 6 6 6 7 8 6 5 4 5 5 4 5 7 8 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 9 8 8 8 9 9 7 5 3 3 3 4 5 5 6 7 7 7 8 nan
nan 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 7 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 6 6 5 5 7 9 11 10 8 7 7 8 10 12 12 12 11 10 8 7 6 6 7 8 7 5 4 4 5 4 4 5 6 7 7 7 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 10 9 8 8 7 7 6 5 5 4 2 0 -0 2 4 5 6 6 7 7 7 7 7 nan
nan 8 8 8 7 7 6 6 7 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 7 6 6 6 7 7 8 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 6 5 5 5 5 5 6 8 9 9 8 8 8 9 10 11 11 12 11 10 9 8 7 8 8 8 7 6 6 6 6 6 6 6 6 5 6 6 6 6 7 9 10 9 8 8 9 9 8 9 8 8 9 9 10 12 12 10 9 8 7 7 6 3 1 -0 -1 -3 -4 -1 3 5 6 7 6 6 6 6 7 7 nan
nan 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 9 9 8 7 8 9 9 9 9 9 8 7 7 6 7 7 7 6 5 4 4 4 3 4 4 5 6 7 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 8 8 7 6 6 6 6 6 8 9 8 7 8 8 9 9 9 9 9 8 9 10 12 12 11 9 7 7 8 7 5 2 1 0 0 -1 -0 3 5 7 7 6 6 6 6 6 6 7 nan
nan 8 7 6 6 6 7 8 9 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 8 8 9 9 9 9 9 9 8 7 7 7 7 8 8 7 6 6 5 4 4 3 2 2 3 5 6 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 10 10 11 11 10 9 8 8 8 6 5 6 7 7 7 7 8 9 10 10 10 10 9 8 9 11 11 10 8 6 5 6 6 5 4 4 5 7 7 6 7 7 7 7 6 6 6 5 6 6 6 7 nan
nan 6 6 6 6 7 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 8 9 8 8 7 7 8 9 9 9 9 9 9 9 8 7 6 4 3 4 5 6 6 7 7 6 5 5 6 7 8 8 9 10 10 10 9 8 9 10 10 11 10 9 9 10 10 9 7 6 6 6 6 7 8 9 9 10 11 10 9 9 9 10 10 9 7 6 5 6 6 5 5 6 7 10 12 12 10 8 7 6 6 5 5 5 5 5 6 6 7 nan
nan 5 5 6 7 8 8 8 7 7 7 6 6 7 7 7 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 10 11 11 11 11 10 9 8 8 7 7 6 6 6 5 4 4 5 6 7 8 8 9 9 8 8 8 9 9 10 10 9 9 10 11 10 9 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 10 9 7 6 6 8 8 8 8 8 9 10 11 11 9 6 5 5 5 5 5 5 5 5 6 6 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
26 27 31 36 47 58 44 36 31 31 35 39 41 41 35 28 21 18 13 12 14 17 19 18 15 11 9 8 6 5 3 2 2 1 0 0 0 0 0 0 0 2 6 13 22 30 39 52 79 122 175 230 268 245 184 144 110 79 55 37 23 13 14 25 32 31 30 27 23 19 17 15 14 14 15 14 15 15 14 11 7 7 8 6 5 12 36 87 130 156 189 174 161 150 133 113 101 94 86 75 59 53 42 24 18 19 18 16 17 24 29 28 31 37 48 57 54 43 28 21 37 67 65 93 109 113 201 446 607 643 616 530 423 326 259
28 31 34 39 56 51 40 31 28 31 37 42 44 45 43 39 32 24 19 19 19 19 18 17 15 14 12 10 8 7 4 3 2 1 0 0 0 0 0 0 2 9 17 25 36 45 56 83 139 221 295 329 315 211 127 91 75 59 44 33 26 22 20 31 33 29 27 25 24 22 19 15 13 13 14 15 14 14 14 12 10 9 7 4 5 15 45 96 153 224 290 293 286 283 267 235 205 182 161 140 114 101 96 83 62 46 36 31 32 37 41 37 34 39 49 59 57 42 27 20 30 71 54 64 67 88 277 712 1080 1075 899 681 508 357 307
39 40 41 40 54 50 39 30 29 33 39 40 38 42 41 36 29 24 21 20 18 17 17 16 16 18 20 20 16 14 11 12 11 10 9 6 5 5 6 4 10 21 31 42 56 70 93 143 222 293 308 249 157 84 48 33 28 25 25 30 35 31 28 31 33 31 27 24 23 23 21 17 13 13 14 14 15 15 15 15 15 12 7 5 7 19 58 126 205 316 417 473 492 502 513 493 422 345 277 230 198 173 182 194 168 118 80 55 43 39 45 34 31 39 51 60 57 42 31 33 33 55 64 61 55 62 176 463 779 863 779 612 474 374 329
51 53 53 47 48 46 38 32 33 39 44 44 42 43 41 33 28 24 20 18 17 16 18 22 25 29 37 43 45 43 37 32 29 26 24 23 21 20 22 25 30 39 50 63 83 114 164 239 306 287 206 110 49 27 16 8 5 5 12 26 35 33 27 25 27 29 27 24 23 23 22 20 18 17 16 15 15 16 17 17 17 14 9 6 8 21 91 188 286 411 547 656 724 795 904 951 834 618 438 348 317 304 322 344 305 210 125 83 51 34 34 32 32 34 42 51 51 49 42 52 53 58 69 67 55 46 75 168 302 402 406 361 306 267 245
56 63 66 55 50 47 40 38 43 48 50 50 49 48 46 41 36 31 26 22 22 25 31 41 52 63 77 91 103 107 96 77 65 59 50 49 53 49 47 48 55 65 78 91 120 174 250 327 318 203 109 56 32 20 11 6 3 3 10 24 28 26 21 17 21 26 26 23 22 23 24 24 23 22 19 17 17 18 19 19 18 15 10 10 18 60 163 287 403 529 676 815 919 1072 1361 1544 1412 967 611 464 452 477 497 479 378 221 128 85 50 34 31 28 25 28 34 41 42 51 51 51 57 65 70 68 61 53 43 55 87 146 177 182 176 167 152
57 71 73 55 52 48 43 45 49 51 50 49 49 51 52 51 47 42 41 42 45 52 66 85 112 128 139 156 174 178 175 164 152 139 127 123 121 115 112 108 109 118 133 152 191 250 296 298 199 98 64 50 41 29 19 15 12 13 21 29 23 24 21 24 28 30 28 25 24 24 26 26 26 23 20 20 21 22 23 23 20 15 17 37 71 143 277 423 559 708 886 1058 1212 1410 1641 1837 1807 1317 825 578 544 596 599 476 318 190 129 91 64 50 43 39 36 37 40 47 46 52 49 42 46 60 70 74 82 77 48 41 60 94 122 125 113 112 113
56 58 54 51 51 47 44 46 49 49 47 48 52 55 56 57 55 56 69 87 97 104 114 131 155 169 179 203 231 244 257 267 263 253 240 226 222 222 217 215 220 235 258 288 313 307 265 189 100 64 55 52 44 31 22 19 19 27 41 47 25 24 26 29 30 30 29 27 26 25 26 26 26 24 23 24 26 28 29 27 23 20 44 94 175 300 421 552 718 923 1167 1396 1570 1683 1566 1630 1872 1608 1044 667 561 579 634 521 360 239 181 143 113 91 79 75 64 59 61 64 60 62 54 41 38 49 65 80 101 84 62 64 69 81 101 97 75 76 72
53 51 46 46 45 44 44 44 45 45 45 48 52 55 57 60 65 69 87 114 131 138 147 159 176 194 208 232 261 287 316 340 347 346 342 344 337 340 350 367 380 382 375 360 320 246 167 110 81 68 58 50 39 27 18 14 16 35 59 63 35 24 25 29 32 34 32 29 27 25 25 25 26 26 25 27 29 30 31 29 29 41 72 144 259 401 514 629 813 1065 1362 1579 1752 1863 1500 1411 1537 1380 982 704 601 647 738 629 457 336 271 234 210 186 165 162 148 124 105 97 83 75 67 54 42 44 55 66 86 72 59 52 49 58 72 77 73 80 82
45 41 38 37 38 38 39 40 40 40 43 50 52 56 60 61 61 65 82 113 143 159 173 181 199 222 237 249 265 290 323 348 354 357 356 360 360 381 410 431 415 369 314 253 188 136 105 97 92 76 58 44 32 22 14 9 10 30 48 55 38 25 24 27 29 30 28 27 27 26 26 23 22 24 24 24 28 29 32 34 39 48 56 135 267 412 541 638 760 976 1249 1254 1412 1667 1766 1663 1429 1134 821 702 624 682 701 634 535 429 354 326 317 299 290 286 258 226 187 160 129 104 92 80 66 65 66 68 72 69 64 61 61 67 77 86 94 109 116
39 34 28 24 24 25 27 30 32 35 41 51 57 61 65 67 69 71 79 101 130 150 170 181 195 212 229 234 238 254 279 296 294 293 280 265 263 276 273 245 210 181 156 130 107 96 89 81 68 52 40 30 22 17 14 13 18 27 35 40 35 20 14 21 22 22 23 24 25 25 24 18 16 18 20 21 23 25 27 35 40 40 48 113 233 376 505 572 580 693 836 791 915 1219 1528 1671 1599 1357 1015 857 768 749 733 694 629 553 505 490 470 423 423 442 428 390 348 303 250 200 164 140 127 125 115 103 95 91 87 79 76 84 99 110 120 146 166
34 26 17 12 11 11 16 22 26 33 43 53 61 64 66 67 66 66 72 89 116 139 150 165 181 189 184 174 168 173 186 199 196 194 176 156 139 131 122 108 91 76 70 72 71 65 55 44 33 25 20 16 13 14 20 24 27 28 28 28 31 22 9 14 18 17 18 21 22 23 21 18 15 16 19 20 23 28 30 34 32 29 35 81 188 324 429 481 459 500 553 554 604 783 1099 1420 1552 1523 1424 1278 1162 1090 999 937 926 898 880 882 866 735 676 688 691 683 642 563 470 385 331 302 273 247 217 191 172 161 153 139 123 127 150 161 173 198 227
26 14 6 4 5 7 11 18 25 34 46 59 64 61 59 55 52 53 60 77 103 127 141 151 150 135 111 90 80 79 84 88 92 94 83 65 51 47 44 41 39 36 34 33 29 22 18 16 14 12 10 9 10 15 21 23 23 22 20 21 24 21 12 12 14 13 15 18 19 20 20 17 14 13 17 24 26 32 36 30 21 19 31 75 164 282 371 411 423 446 464 438 402 421 507 663 863 1056 1291 1492 1482 1439 1439 1450 1420 1381 1393 1442 1443 1336 1216 1169 1181 1156 1046 879 729 621 580 552 507 457 407 361 325 297 272 249 230 230 243 252 265 297 360
19 7 2 2 6 9 12 18 27 40 51 59 57 48 40 35 32 35 46 66 91 112 116 111 93 67 41 24 20 21 23 25 29 31 29 22 15 12 12 12 13 12 11 10 7 6 7 9 10 11 11 10 10 10 10 10 10 11 13 13 11 8 4 6 9 11 13 15 16 17 17 16 13 12 12 21 28 30 26 17 12 16 31 69 151 259 343 384 399 413 421 386 323 294 265 284 371 526 778 1049 1153 1218 1396 1577 1445 1340 1475 1601 1604 1535 1486 1473 1449 1416 1332 1147 957 862 835 838 821 771 694 613 558 502 453 466 423 389 386 405 437 479 517
18 10 5 6 10 14 17 24 35 45 54 50 37 26 23 23 25 30 41 55 71 82 81 65 44 25 10 3 2 2 4 4 6 9 9 7 5 4 4 4 4 3 3 3 4 6 8 10 12 12 11 10 7 5 4 4 2 3 4 3 2 1 2 2 5 9 12 14 14 14 15 15 15 17 23 28 28 24 16 9 10 18 37 74 152 247 329 372 379 380 385 371 334 298 270 271 288 306 366 472 560 634 694 661 741 795 917 1026 1053 1001 920 919 1097 1328 1391 1204 1030 971 1009 1089 1118 1058 980 899 849 810 755 686 610 579 588 621 662 674 713
26 25 21 19 20 21 23 30 39 45 47 34 20 14 17 21 26 30 35 42 51 52 44 29 16 7 2 0 0 0 0 0 2 3 4 4 4 4 4 3 2 2 2 2 3 5 7 8 9 9 9 7 3 1 2 1 0 0 0 0 1 0 3 2 4 8 11 12 12 12 13 16 18 21 25 27 23 18 11 9 14 24 44 78 137 214 283 327 339 333 330 328 320 301 296 314 303 281 278 286 304 341 355 285 357 438 457 477 520 542 523 525 602 793 873 838 804 856 1001 1154 1205 1180 1139 1092 1076 1051 981 920 886 861 851 861 907 910 961
29 33 34 31 28 26 24 26 34 39 34 21 13 12 15 20 23 28 31 35 35 29 18 8 3 1 0 0 0 0 0 0 2 3 4 4 4 3 2 1 1 0 0 0 1 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 8 9 9 9 10 14 18 20 20 17 13 10 8 12 20 29 45 69 107 160 204 232 244 243 239 235 244 238 235 237 230 220 217 225 247 268 311 378 370 359 361 375 396 405 380 346 343 373 380 408 467 541 629 735 829 862 904 994 1053 1128 1202 1225 1151 1087 1072 1071 1127 1200 1266
29 30 27 25 26 26 22 23 30 32 26 17 13 12 14 17 21 26 31 30 25 16 6 1 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 1 1 2 1 2 3 5 6 6 6 7 8 11 13 11 8 6 5 8 15 21 27 41 58 81 107 126 132 133 137 138 137 144 143 137 136 133 126 123 136 161 181 208 232 247 257 268 273 263 249 222 203 192 181 188 200 215 232 242 247 278 350 440 572 670 761 850 927 964 1002 1067 1119 1203 1283 1345
27 24 22 24 31 39 40 40 32 28 24 19 14 11 11 19 28 31 32 25 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 1 1 1 1 1 2 1 1 3 3 2 2 3 4 5 5 4 3 2 3 7 14 18 24 32 44 57 66 72 72 68 71 74 74 73 71 67 61 53 49 52 60 68 79 87 86 98 107 105 98 84 84 73 49 41 48 48 47 49 51 49 28 37 71 110 174 246 308 346 346 456 591 705 804 899 982 1082
19 24 31 43 60 74 84 87 39 27 24 19 12 10 13 23 33 35 27 17 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 1 1 0 0 1 1 1 1 1 1 0 1 2 7 14 19 24 31 39 44 45 45 41 43 45 43 39 38 36 32 30 26 27 30 31 34 36 34 31 26 26 27 20 18 13 5 3 3 3 2 0 2 5 4 6 12 26 44 67 94 101 112 155 199 231 301 378 433 467
19 34 47 60 74 90 130 101 52 33 25 19 14 12 16 24 29 24 12 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 1 7 13 17 22 25 27 31 32 33 32 32 31 29 27 24 21 18 15 16 18 20 24 27 26 25 23 19 17 14 9 4 1 1 2 2 0 0 1 1 1 1 3 4 7 14 18 15 8 9 22 27 42 76 113 140
19 28 30 37 61 78 135 89 56 38 28 21 18 18 19 21 18 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 2 4 8 13 14 19 21 23 25 24 22 21 21 19 16 13 11 10 10 10 11 13 15 16 17 18 15 14 12 9 6 6 6 6 3 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 3 8 18 30
13 16 13 18 61 77 101 72 48 37 31 25 20 18 17 14 8 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 2 4 7 13 15 17 18 17 15 14 12 9 7 5 3 4 4 5 6 7 8 9 11 10 9 9 8 7 6 6 7 6 3 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 5
7 11 15 25 60 79 74 50 35 30 29 26 20 15 16 7 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 3 5 7 9 10 11 10 9 8 6 4 1 0 0 1 2 3 3 5 6 7 6 5 6 6 5 4 4 5 3 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 2 2
7 13 21 36 55 66 52 30 21 21 23 22 18 12 8 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 1 2 4 5 5 6 5 4 4 2 1 1 0 0 0 0 0 0 0 2 3 3 3 3 3 3 1 2 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 2 2 2 3 4
7 16 21 33 52 49 30 12 6 7 10 12 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 1 2 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3
9 13 17 33 45 29 12 3 1 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 1 1 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 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
17 16 15 27 29 14 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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