Vorticity
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nan 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 9 10 12 13 12 9 7 8 8 8 8 8 7 6 5 4 5 6 7 7 8 8 10 10 9 7 5 6 7 9 14 20 25 26 24 20 17 15 14 13 13 14 15 17 17 18 17 16 14 11 8 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
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nan 7 7 7 7 8 10 12 13 13 12 11 10 9 9 8 7 6 6 7 7 8 9 9 9 7 6 6 7 8 10 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 10 10 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 13 16 17 15 15 14 15 15 15 15 16 17 17 16 14 12 10 9 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 9 11 12 12 12 11 10 10 9 9 8 7 7 7 7 7 8 8 8 8 7 6 6 7 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 7 6 6 7 8 8 8 8 8 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 13 15 15 15 16 15 15 15 14 15 16 17 17 16 14 12 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 9 9 10 10 11 11 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 8 7 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 12 14 15 15 15 15 15 15 16 16 17 17 18 16 14 12 10 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
nan 7 8 8 8 8 7 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 10 9 9 9 9 9 8 7 7 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 10 11 12 12 12 13 14 15 17 17 16 17 18 18 16 14 11 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 6 7 8 7 6 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 9 10 10 11 11 11 11 11 11 10 10 9 9 8 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 8 8 8 8 8 9 9 10 12 15 17 17 17 16 17 18 17 15 12 11 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 nan
nan 6 7 7 7 6 6 5 6 7 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 9 8 8 9 9 8 7 8 10 12 12 12 12 12 12 11 10 10 9 9 8 8 7 8 8 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 10 13 16 17 17 17 17 17 17 15 13 12 10 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 nan
nan 6 7 7 7 7 6 6 6 7 8 8 9 9 9 9 8 8 7 8 8 8 9 11 11 11 10 9 9 9 9 9 7 6 6 7 9 12 12 12 12 11 10 9 8 8 8 7 7 7 8 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 6 7 7 8 8 9 9 10 10 10 9 8 9 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 7 7 6 7 8 8 9 11 13 15 17 19 19 19 17 15 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 nan
nan 7 8 9 9 9 8 7 7 7 8 9 9 9 9 9 9 8 7 8 8 8 9 10 10 9 8 8 9 9 8 8 7 5 4 3 5 8 10 12 12 12 10 8 6 5 5 5 4 4 6 7 8 8 8 9 10 11 10 10 10 9 8 7 8 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 7 7 7 7 7 8 8 9 10 12 16 19 21 22 21 17 14 12 11 11 10 9 9 8 8 8 7 8 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 8 10 10 9 9 9 8 7 7 8 9 9 9 9 9 9 8 8 9 8 9 9 9 8 7 7 8 8 8 7 7 5 4 2 2 4 7 10 11 12 11 7 4 3 2 2 2 2 3 4 5 6 6 7 9 10 10 11 10 10 9 8 8 8 7 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 9 12 15 20 24 24 21 18 15 13 12 11 10 10 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 6 7 8 9 9 9 9 8 7 7 8 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 6 5 4 3 4 6 8 9 10 9 7 4 2 2 2 3 3 3 3 3 3 3 4 6 8 10 10 10 10 10 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 9 11 15 20 24 24 23 19 16 16 16 15 13 12 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 nan
nan 5 5 6 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 7 7 6 5 5 6 8 8 8 8 7 5 4 3 4 5 5 6 5 4 2 2 2 3 5 7 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 7 7 7 7 8 8 7 7 7 7 6 6 7 8 7 7 7 7 7 8 10 14 18 22 24 22 19 19 21 22 21 18 14 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 nan
nan 4 4 4 5 7 8 8 7 6 5 6 7 8 8 8 8 7 6 7 7 8 8 7 7 7 6 5 4 4 5 7 8 9 9 8 8 7 7 8 9 9 8 7 6 5 4 5 6 7 7 7 6 4 3 3 2 3 4 6 8 9 10 10 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 7 7 7 7 6 6 7 8 8 7 7 7 7 7 7 9 12 16 19 19 17 17 20 24 27 24 18 14 12 11 10 10 9 9 8 8 7 7 7 7 6 6 nan
nan 4 3 3 5 6 7 8 7 6 5 5 6 7 8 8 8 7 6 6 7 7 8 8 7 7 6 5 4 4 5 6 7 9 10 9 8 8 8 9 10 10 9 7 6 5 4 5 6 7 8 8 8 7 6 4 3 2 3 5 7 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 9 8 7 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 9 11 12 13 12 13 15 20 25 25 21 16 13 11 11 11 10 10 9 8 8 7 7 7 7 7 nan
nan 5 4 3 4 6 7 8 8 7 6 5 6 7 8 8 9 8 8 7 7 8 8 8 8 8 7 6 6 5 5 5 6 7 9 9 8 7 7 8 10 10 9 8 6 6 5 5 6 7 8 8 8 8 7 6 5 4 4 5 7 8 9 9 10 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 7 7 8 7 6 7 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 10 11 13 18 21 21 20 17 14 12 12 12 11 10 10 9 8 8 8 7 7 7 nan
nan 7 5 4 4 5 6 8 8 8 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 6 8 8 7 6 6 7 9 10 10 9 8 8 7 6 6 7 8 9 9 8 8 8 7 6 6 6 8 10 11 11 11 12 12 11 10 8 8 7 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 9 11 14 17 18 18 18 16 14 12 12 13 12 11 10 9 9 8 8 8 8 8 nan
nan 8 7 5 5 5 6 7 7 7 6 5 6 6 6 7 8 10 10 10 10 11 11 11 10 10 10 10 9 7 6 5 5 6 7 7 8 7 6 7 8 9 9 9 9 9 9 7 5 5 8 10 10 10 10 9 8 7 7 7 8 10 12 12 12 12 13 13 12 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 8 8 7 7 8 8 7 7 8 8 7 7 7 6 6 6 6 7 8 9 12 15 17 16 16 18 18 15 12 12 13 13 12 11 10 9 9 9 8 8 8 nan
nan 8 7 6 5 5 5 6 7 6 5 4 4 5 6 7 8 9 10 11 12 13 13 13 12 11 12 12 11 9 8 7 6 5 5 7 8 8 7 7 8 10 10 9 8 9 9 7 4 4 6 8 10 10 10 9 9 8 6 6 7 8 10 10 10 11 12 13 13 11 10 9 9 9 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 7 7 7 7 6 6 7 8 10 13 15 14 14 16 19 21 19 15 14 13 13 13 11 10 10 9 9 9 9 9 nan
nan 8 7 7 7 7 7 7 8 7 6 5 5 5 6 7 8 8 8 10 11 13 14 13 13 12 12 12 12 11 11 9 7 5 5 6 8 8 8 7 8 10 11 11 9 9 9 7 6 4 4 5 7 8 8 8 8 8 7 6 7 7 7 7 7 9 10 12 13 12 11 10 10 9 9 8 8 8 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 11 11 11 14 18 22 22 20 18 16 13 12 11 11 10 10 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 9 10 12 13 13 12 12 12 11 11 11 12 11 9 6 5 6 7 8 7 6 7 8 11 12 10 10 10 9 8 6 4 3 5 6 7 7 8 7 7 7 7 7 6 5 5 7 8 10 12 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 9 11 14 18 21 24 24 21 15 11 11 11 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 9 10 11 11 10 10 10 10 10 10 11 11 10 9 7 6 7 7 7 7 6 7 9 10 10 10 11 11 11 8 4 3 4 5 5 6 6 6 7 8 8 7 6 5 6 6 6 8 10 12 12 12 12 11 11 10 9 9 8 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 7 8 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 7 8 9 10 12 17 22 28 24 16 12 11 10 11 11 10 10 10 10 nan
nan 11 11 10 10 9 9 9 10 10 9 9 10 11 10 10 9 8 8 8 8 9 10 9 9 8 8 8 8 9 10 11 12 11 9 7 6 6 7 7 7 7 8 8 9 9 10 12 12 9 6 5 4 4 4 4 5 6 7 8 7 7 5 5 5 4 3 4 7 10 11 12 12 12 11 11 10 10 9 10 10 10 10 9 8 7 7 7 7 7 7 8 9 9 10 10 9 8 7 8 8 7 7 8 7 8 8 7 7 6 6 7 7 7 7 7 8 8 8 9 12 19 25 24 18 14 11 10 11 11 11 10 10 10 nan
nan 11 11 10 10 9 9 8 8 8 8 8 8 10 11 11 11 10 10 9 9 9 10 10 9 9 8 8 8 8 9 11 12 12 11 9 6 6 7 8 8 8 8 8 8 9 9 10 10 9 8 7 5 4 3 4 5 7 8 8 6 5 4 4 5 4 2 2 3 5 7 10 12 12 12 11 11 10 10 10 10 10 10 10 8 7 6 7 7 7 7 8 8 9 9 10 9 8 8 8 8 7 7 8 8 8 8 7 7 6 5 6 6 6 7 9 10 10 10 8 9 15 20 20 17 13 11 10 10 11 10 10 10 9 nan
nan 11 10 10 9 9 8 8 7 7 6 6 6 7 9 10 11 11 10 10 9 9 11 12 11 10 10 10 10 9 9 10 11 12 12 10 7 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 7 6 5 5 7 9 10 9 7 4 4 5 5 4 3 2 1 1 3 6 9 12 12 11 11 11 11 10 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 10 12 13 13 11 10 13 15 16 14 12 10 10 10 10 10 9 9 9 nan
nan 11 10 9 9 9 8 7 7 7 6 5 4 5 7 8 9 10 10 9 8 9 10 11 11 10 10 11 11 11 9 9 10 11 13 11 8 7 8 8 8 8 7 7 7 8 9 9 9 9 10 10 9 8 7 6 7 8 10 10 9 7 7 6 6 6 5 5 3 1 0 2 4 7 10 11 12 12 11 11 10 9 9 10 10 9 8 8 8 7 7 7 7 8 8 9 10 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 8 9 10 12 15 16 15 14 14 14 13 12 10 9 9 9 9 8 8 8 8 nan
nan 10 10 9 9 9 8 8 7 7 7 6 5 5 6 7 8 9 9 8 8 8 8 9 10 9 9 10 11 10 9 9 9 11 13 12 10 8 8 8 8 8 7 6 6 7 8 9 10 10 10 10 10 9 7 6 5 6 7 8 9 10 9 8 8 7 7 7 5 3 1 0 0 2 5 9 11 12 12 11 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 7 8 8 9 9 10 13 15 16 18 18 15 12 10 9 9 8 8 8 8 7 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
0 0 0 0 0 0 0 1 1 2 1 1 2 2 2 2 2 3 2 2 1 0 3 24 58 79 75 58 29 9 3 2 2 1 1 1 1 1 0 1 3 5 5 1 0 0 0 9 29 45 47 47 53 78 45 24 16 5 5 32 60 51 18 2 0 0 0 0 0 0 0 1 1 4 12 32 46 59 63 92 117 125 130 132 116 93 82 84 95 146 162 168 199 301 494 709 801 740 639 602 628 676 735 767 884 1007 957 843 770 708 714 628 434 255 138 108 87 75 78 87 100 127 175 221 209 206 209 229 256 301 355 376 349 322 341
0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 2 3 2 2 2 1 3 8 12 12 13 12 5 4 2 2 2 2 2 2 2 1 0 3 1 3 3 1 1 0 0 2 8 18 29 42 39 95 37 9 1 0 5 17 20 10 2 0 0 0 0 0 0 0 0 0 0 0 2 8 18 26 33 41 53 72 88 87 73 80 124 199 310 491 571 563 542 594 735 864 845 710 644 675 755 828 867 947 1116 1231 1195 1070 929 763 620 430 241 114 50 32 38 46 49 56 71 90 127 149 155 156 172 208 247 261 251 241 255 314 339
0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2 3 3 4 4 3 2 2 3 5 9 8 2 2 4 18 9 12 9 9 9 6 5 7 7 7 23 50 62 33 9 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 9 7 16 34 51 58 74 132 285 588 970 1279 1373 1324 1189 998 867 848 743 646 706 821 944 1069 1173 1318 1388 1300 1179 1021 802 550 355 171 66 34 22 26 38 43 30 41 57 69 81 98 109 116 129 157 191 204 197 188 237 297 312
4 5 8 5 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 2 2 3 3 3 4 9 14 18 21 18 12 16 7 17 19 21 19 22 21 17 14 13 13 13 27 34 25 15 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 4 13 28 52 98 206 575 1155 1671 1853 1771 1587 1380 1196 932 724 636 673 777 960 1181 1277 1223 1153 1115 1056 888 678 441 259 138 59 27 23 23 26 31 35 18 33 51 58 61 71 82 93 106 127 148 160 160 167 199 226 256
28 29 26 9 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 3 6 8 21 36 38 35 32 28 30 32 24 15 20 25 25 31 34 26 21 25 30 19 16 16 11 12 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 1 7 26 48 121 337 887 1503 1777 1598 1393 1369 1194 961 808 707 668 666 725 863 967 936 864 844 795 628 466 325 172 92 50 31 26 24 23 22 20 21 18 30 47 49 50 57 67 80 93 105 127 146 140 140 143 145 168
45 40 27 8 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 9 28 53 58 47 43 39 39 40 40 37 36 38 39 50 55 42 31 34 39 23 22 17 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 0 1 3 11 45 156 483 1076 1595 1582 1182 1067 1272 1167 869 687 632 514 436 470 548 569 540 519 474 350 241 182 124 73 46 36 29 23 22 22 23 18 17 18 21 28 35 40 46 55 67 81 94 101 110 111 113 117 125 151
50 42 40 22 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 17 32 50 54 51 50 51 50 47 43 42 44 50 55 60 61 48 35 37 31 14 22 12 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 1 8 8 2 43 187 536 1126 1583 1457 1041 1056 1270 1136 704 489 430 312 221 236 288 288 241 215 197 144 104 79 59 45 38 35 31 26 23 24 24 21 21 20 17 18 28 39 44 48 56 65 73 78 82 84 94 112 125 145
92 62 53 34 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 21 33 41 43 46 50 52 51 52 50 49 53 61 63 58 49 36 38 40 14 18 10 2 0 0 0 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 18 4 26 163 495 1043 1450 1329 958 968 1234 1013 543 322 269 223 168 146 150 138 92 87 76 57 46 43 39 35 34 33 30 26 25 25 25 26 28 29 28 32 40 44 46 45 45 46 51 60 65 67 76 94 99 95
160 85 48 34 28 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 12 14 21 39 48 50 50 62 71 72 76 78 72 65 53 27 36 25 7 4 2 0 0 0 0 4 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 27 26 9 5 116 427 894 1267 1208 784 811 1132 929 547 325 255 204 128 90 93 82 58 48 38 34 33 32 32 30 29 30 29 26 23 24 25 27 30 35 37 39 40 39 39 36 33 31 30 36 48 54 63 71 70 68
192 89 45 33 31 25 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 21 18 12 27 54 66 71 82 86 70 54 38 12 13 7 3 2 1 1 0 0 0 1 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 27 32 19 14 98 343 727 1111 1247 737 745 989 921 647 419 307 216 111 79 79 62 43 33 32 34 33 30 30 27 25 25 25 29 27 26 27 26 28 31 31 29 31 32 31 29 28 28 34 41 39 45 56 57 52 49
173 84 41 30 34 32 25 16 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 3 7 22 47 72 87 89 81 63 35 17 6 2 1 2 2 2 2 1 0 0 0 3 3 0 2 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 26 21 24 84 252 559 980 1245 838 694 821 908 731 434 307 215 107 69 66 52 34 26 28 33 33 31 29 25 23 23 23 23 23 24 27 29 29 34 34 31 32 32 31 29 28 28 32 33 31 35 48 48 42 37
167 88 43 31 35 35 29 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 41 80 86 68 44 19 5 3 3 2 1 3 3 2 2 2 1 0 0 0 2 1 1 14 21 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 23 19 22 60 148 357 804 1078 898 648 653 827 780 414 285 194 98 49 43 37 29 28 33 34 34 32 29 26 25 24 22 21 22 25 28 32 30 32 33 32 29 28 27 24 21 20 24 26 24 26 37 41 38 35
214 117 57 39 38 36 30 22 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 31 65 51 24 21 22 11 3 3 3 1 1 5 4 1 1 1 0 0 0 0 0 0 9 26 26 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 23 30 23 16 25 39 99 263 657 966 913 639 562 732 647 343 208 156 97 46 31 30 28 27 32 38 38 35 33 31 30 28 27 25 26 28 26 29 26 26 28 28 27 25 21 16 9 10 15 13 16 21 30 38 38 31
253 154 88 64 57 44 30 23 18 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 28 36 26 10 5 14 27 24 4 3 2 0 0 2 1 0 0 0 0 0 0 3 2 5 17 22 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 32 42 26 24 14 24 41 100 270 588 835 799 569 486 631 540 277 147 116 90 53 33 30 30 31 35 53 44 40 37 35 33 32 31 30 28 26 27 29 25 26 27 26 21 18 15 10 5 7 11 13 17 22 30 40 37 33
237 187 142 119 99 68 37 24 21 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 23 9 25 27 12 2 2 11 26 40 17 6 1 0 0 0 0 0 0 0 0 0 1 6 7 12 16 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 32 31 16 63 54 16 52 134 274 547 755 678 446 354 459 425 240 130 95 77 56 38 31 32 34 41 70 56 43 40 42 43 40 39 36 36 34 32 33 29 26 25 23 18 11 8 6 7 9 13 16 18 21 26 35 34 35
203 187 181 174 153 111 59 28 24 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 23 17 24 20 7 0 0 1 6 22 32 14 3 0 0 0 0 0 0 0 0 0 4 5 9 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 17 8 15 120 210 62 93 193 431 791 971 744 377 213 235 228 174 119 87 73 59 43 40 39 37 42 58 58 48 44 51 55 49 45 43 40 37 34 34 31 25 21 19 15 4 3 5 8 11 15 17 17 17 21 27 31 32
181 160 165 176 175 155 95 47 30 21 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 8 20 30 19 3 0 0 0 0 2 17 12 3 0 0 0 0 0 0 0 1 2 2 5 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 31 32 18 197 281 138 133 263 521 861 1031 781 328 179 158 147 126 104 85 74 67 56 62 51 45 47 52 54 49 48 60 58 53 51 46 40 38 36 35 33 27 22 19 13 5 4 6 9 14 19 20 17 16 18 24 28 27
211 186 168 161 165 175 139 88 47 28 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 5 9 27 25 10 5 0 0 0 0 0 3 3 1 0 0 0 0 0 0 0 1 2 3 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 27 63 81 177 364 280 180 223 385 636 867 897 639 301 179 140 126 118 107 90 77 75 72 75 59 47 45 48 48 48 57 68 51 52 40 36 36 37 38 37 34 25 20 12 7 5 5 7 11 14 16 17 18 18 16 17 19 19
218 221 215 201 186 183 169 139 77 46 27 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 4 14 13 4 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 23 44 62 128 188 175 203 316 506 701 755 657 445 273 196 171 161 139 105 81 76 72 71 63 50 43 42 43 42 44 55 58 42 47 41 35 35 37 38 37 30 22 17 10 6 4 5 8 10 11 10 11 12 14 12 10 10 12
176 208 228 226 207 188 174 172 120 77 48 25 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 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 1 1 0 0 0 0 1 8 18 27 28 28 70 155 282 447 607 686 561 439 325 258 225 198 168 139 102 83 73 65 57 49 44 41 39 40 40 40 47 47 40 40 37 34 36 39 38 35 27 21 15 9 6 6 6 8 9 9 11 10 10 9 9 9 9 9
135 184 223 234 219 193 177 166 156 130 90 49 23 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 9 4 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 4 10 11 8 3 4 21 67 74 58 34 22 74 217 399 527 567 533 429 348 303 274 246 213 176 140 109 92 76 56 46 43 42 40 40 39 38 40 42 38 33 31 32 35 38 39 35 31 26 19 11 7 8 7 7 7 9 8 7 8 9 10 10 10 11 9
105 155 205 225 221 197 176 150 153 156 127 74 34 26 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 8 26 51 67 65 79 146 200 153 106 76 69 137 287 412 418 395 397 388 365 336 298 257 221 182 142 113 91 70 49 39 37 38 41 42 37 36 36 33 28 26 28 31 35 39 37 30 23 17 11 7 6 7 8 8 9 8 7 7 8 9 11 12 11 12 11
71 111 158 177 181 173 164 145 137 146 139 92 43 37 30 13 5 2 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 2 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 39 86 127 179 281 364 320 208 161 147 138 181 267 388 460 462 429 415 397 361 317 271 221 173 133 104 80 57 40 33 33 37 40 37 32 31 29 27 28 31 31 30 34 36 31 23 15 10 7 7 7 8 9 10 11 10 9 7 7 10 12 14 13 14 13
39 61 92 114 125 129 144 144 128 119 123 108 58 45 41 34 24 14 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 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 14 46 101 168 290 486 575 493 344 260 220 186 224 342 502 632 656 561 487 448 404 349 279 203 153 118 88 62 41 30 28 29 30 28 26 24 22 20 23 28 30 31 33 35 31 23 15 9 6 7 7 6 9 11 11 12 12 12 12 11 13 13 14 14 13 13
23 32 49 73 93 97 117 136 138 131 128 115 78 58 55 52 42 29 17 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 11 39 100 210 414 620 679 615 487 361 275 240 326 568 792 987 934 759 614 528 450 363 251 182 137 102 73 50 35 26 25 24 23 20 19 19 18 16 18 24 28 32 35 33 26 17 10 7 7 9 9 11 13 14 14 13 13 14 16 12 14 15 16 15 13 12
14 18 24 40 61 73 91 114 140 154 146 123 91 70 65 65 60 51 40 27 13 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 1 2 5 28 100 255 487 662 635 516 415 350 311 301 543 998 1239 1303 1155 911 705 571 437 320 221 164 127 94 67 49 38 28 24 21 20 17 16 16 16 15 16 22 26 28 29 30 23 14 10 8 8 8 8 11 13 14 14 13 12 15 14 14 17 18 18 15 12 10
6 7 8 18 42 55 67 86 112 133 137 124 110 117 79 73 73 69 62 51 33 17 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 2 17 104 297 508 657 630 473 325 292 395 487 819 1301 1518 1423 1181 939 710 550 384 272 198 150 118 91 68 50 42 32 24 21 19 18 18 18 20 19 20 23 25 25 27 27 23 17 13 9 9 9 8 9 11 14 15 12 12 13 14 15 18 19 17 14 10 9
4 3 4 7 24 32 41 58 79 94 96 96 92 79 59 60 59 56 55 49 35 29 12 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 4 91 308 545 714 769 688 519 474 773 1032 1364 1671 1672 1376 1065 854 636 471 325 227 173 139 111 92 78 52 40 31 24 21 19 19 19 21 22 22 22 24 25 24 23 23 20 15 14 10 9 8 9 9 10 12 15 13 12 12 13 16 18 16 13 10 8 9
4 4 4 3 8 14 22 36 57 75 77 70 70 60 51 46 36 29 25 20 15 23 22 11 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 1 75 261 519 770 955 1035 1005 1101 1418 1607 1682 1643 1457 1167 899 706 521 376 270 199 160 133 107 86 68 50 37 28 23 22 21 21 21 21 21 20 23 26 26 24 21 19 15 13 10 8 7 7 8 9 8 11 13 12 11 12 14 15 15 13 10 9 8 7
4 4 4 4 4 6 13 23 39 58 64 56 52 51 49 40 27 18 16 12 7 5 17 10 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 10 69 193 403 694 988 1195 1353 1563 1705 1697 1563 1355 1122 909 719 562 420 304 233 184 146 115 93 78 62 51 38 29 24 22 21 19 18 20 21 22 26 29 29 27 23 19 13 11 8 7 7 9 10 9 8 10 12 11 10 13 16 16 14 13 12 10 8 8
4 4 4 4 4 2 8 17 26 35 42 41 39 37 35 33 27 20 17 11 6 3 6 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 13 62 137 268 525 818 1077 1284 1449 1475 1386 1235 1047 852 705 575 453 341 261 211 172 134 100 83 75 61 49 38 29 24 22 20 20 19 20 23 26 29 31 30 26 24 18 14 10 7 6 8 10 9 7 7 8 11 10 9 11 14 15 14 14 13 11 9 8
3 4 4 4 4 2 5 11 17 22 26 27 26 27 31 33 30 23 18 13 6 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 2 21 79 201 374 584 804 997 1114 1106 1023 918 793 668 578 475 378 296 238 193 150 109 84 76 67 55 44 34 26 21 19 18 21 23 25 27 29 30 32 30 25 23 19 15 12 10 9 9 10 9 7 7 8 9 9 8 8 9 13 13 14 13 12 10 8
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