Vorticity
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nan 8 8 8 9 10 10 11 11 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 6 7 7 7 7 8 9 9 9 8 8 7 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 7 7 8 8 8 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 11 18 23 24 21 18 15 13 10 9 9 10 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 nan
nan 7 8 9 10 10 10 10 9 9 8 9 9 9 9 8 8 8 8 9 9 9 10 9 8 8 7 6 6 6 7 9 9 9 9 9 8 7 7 7 6 6 7 7 8 8 7 6 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 13 18 20 21 20 18 16 14 13 13 13 12 11 10 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 nan
nan 7 8 9 10 10 10 9 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 10 9 9 8 8 8 8 8 8 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 13 15 18 19 18 17 16 16 16 17 16 15 13 11 10 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 7 7 8 8 9 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 9 8 7 7 6 7 7 7 8 9 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 11 14 15 15 15 15 17 18 19 20 18 16 14 11 9 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 5 5 5 7 8 9 9 8 8 7 7 7 7 6 6 6 6 6 7 8 8 9 9 9 9 8 7 7 6 6 6 7 8 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 7 8 8 9 8 8 7 7 6 7 7 8 8 7 8 8 8 9 9 9 9 9 10 10 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 10 11 11 11 12 14 18 21 22 21 19 16 13 10 8 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 nan
nan 6 5 4 4 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 8 9 9 8 7 7 7 6 6 6 7 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 11 15 19 22 23 22 19 15 11 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 nan
nan 6 6 5 5 5 5 6 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 5 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 9 12 15 20 24 25 23 19 13 9 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 6 5 6 5 5 5 5 5 nan
nan 6 5 5 6 6 5 6 6 7 7 8 9 9 9 8 8 9 9 9 9 8 7 7 7 6 6 5 6 7 7 7 6 6 5 5 5 6 7 8 9 9 9 7 6 6 5 5 5 5 6 6 7 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 6 6 7 8 8 9 11 15 20 25 26 25 19 13 9 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 6 5 5 5 5 5 nan
nan 7 6 6 6 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 10 9 8 8 7 6 5 6 7 7 7 6 6 6 4 4 5 6 7 8 9 9 6 5 4 4 4 4 3 3 4 5 6 6 7 8 9 10 10 10 9 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 8 7 7 8 8 7 7 7 6 6 7 8 8 8 8 10 14 19 24 28 26 20 15 10 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 5 5 5 nan
nan 8 8 8 8 8 9 9 8 8 7 7 8 9 9 9 10 11 11 11 10 10 9 9 9 8 7 6 7 7 7 7 7 7 6 5 5 5 6 7 7 8 8 6 5 4 4 5 5 5 4 3 4 4 5 5 6 7 9 10 10 10 9 8 7 7 7 8 8 9 9 9 8 8 8 8 7 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 12 17 23 26 25 22 17 14 13 13 13 12 10 9 8 8 7 7 6 6 6 6 5 6 6 6 6 6 6 nan
nan 8 8 8 9 9 10 10 9 8 8 7 7 8 9 10 10 11 11 11 10 9 9 9 9 8 7 6 6 6 7 8 8 7 7 7 6 6 6 7 8 8 7 6 5 5 6 6 8 8 8 7 5 5 4 4 4 5 6 8 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 7 7 7 7 7 8 10 15 19 23 24 22 18 18 20 21 20 16 12 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 9 10 10 10 9 8 8 8 8 9 9 10 11 11 11 10 10 9 9 8 7 6 5 4 4 5 7 8 8 8 8 7 7 8 8 9 9 8 7 6 6 7 8 9 10 10 9 7 6 6 5 4 3 4 6 8 10 10 10 9 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 8 9 9 9 9 8 7 8 8 8 8 8 7 7 6 7 8 8 7 7 7 7 7 7 9 12 15 18 19 17 17 20 24 26 22 16 12 9 8 7 7 6 6 6 6 6 6 7 7 7 6 nan
nan 6 6 6 6 8 9 10 10 10 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 8 7 5 4 3 4 6 7 8 8 8 8 8 8 9 10 9 8 7 6 7 7 8 9 10 10 8 7 7 7 7 5 3 3 4 6 8 10 10 10 9 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 10 11 12 12 12 14 19 24 24 20 15 11 8 7 7 7 6 6 7 7 7 7 7 7 7 nan
nan 6 5 5 6 8 9 10 11 10 9 9 8 8 7 7 6 7 8 8 8 9 9 9 9 9 8 7 6 5 4 5 6 6 7 7 7 7 8 9 10 10 9 7 7 7 7 7 8 9 9 8 7 7 7 7 7 5 4 4 6 8 10 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 8 9 10 12 16 20 21 19 16 12 9 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 6 5 6 8 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 6 4 4 5 5 4 5 5 5 6 7 9 10 9 8 7 7 6 5 5 6 8 8 8 8 8 9 9 8 7 6 7 8 10 11 12 12 12 11 10 8 7 7 7 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 10 13 17 18 19 19 17 13 10 9 8 8 8 8 8 8 8 7 7 7 7 nan
nan 10 8 6 6 7 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 4 3 3 3 3 3 4 4 5 6 8 9 9 8 8 7 6 5 4 4 5 7 8 9 9 9 10 10 8 7 7 8 9 10 12 13 13 13 12 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 11 15 17 17 18 20 20 16 12 10 9 9 9 8 8 8 8 8 8 7 7 nan
nan 11 10 8 7 8 9 10 11 11 10 8 7 7 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 7 6 5 4 3 3 3 4 5 5 5 7 8 9 9 8 8 7 6 5 4 3 4 6 7 7 7 8 8 7 7 7 7 7 8 9 11 13 14 13 12 10 9 9 9 9 8 8 8 9 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 10 13 15 16 16 18 22 24 21 17 13 11 10 9 9 9 9 9 8 8 8 7 nan
nan 11 11 10 10 10 10 10 11 10 9 7 7 7 7 8 9 9 10 10 10 9 7 7 8 8 8 8 8 8 8 8 6 5 4 4 4 4 5 5 6 8 9 9 9 9 9 9 8 6 4 3 4 4 4 4 6 7 7 8 8 7 6 6 7 10 12 13 13 12 11 10 10 10 9 9 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 9 12 13 13 13 16 20 24 25 23 19 15 12 10 10 10 9 9 9 9 8 8 nan
nan 11 11 11 10 10 10 10 10 10 8 7 6 7 7 8 8 9 10 11 11 10 8 8 8 8 8 8 8 9 9 9 8 6 4 4 4 5 5 5 6 7 9 10 10 10 10 10 10 9 6 5 5 4 4 4 5 7 9 10 9 8 7 6 7 9 10 11 12 13 12 12 11 11 10 9 9 9 9 9 8 7 8 8 8 8 7 7 7 7 8 9 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 12 15 18 22 25 25 20 14 11 10 10 10 10 10 9 9 8 nan
nan 10 10 10 10 10 9 9 9 9 8 7 7 7 7 8 8 9 10 11 12 11 10 9 8 8 8 8 8 9 10 10 10 8 5 5 5 5 5 5 5 6 8 9 10 10 10 10 11 10 7 6 6 6 6 6 6 8 9 10 9 8 6 5 7 7 7 9 11 13 13 12 12 12 11 10 10 9 9 9 8 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 9 8 8 8 7 7 8 8 8 8 8 8 7 7 6 7 7 8 7 8 8 9 10 12 17 23 27 24 16 12 10 10 10 10 10 10 9 8 nan
nan 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 10 10 9 8 8 8 8 9 9 11 11 10 9 7 6 5 5 5 4 5 6 7 8 9 10 10 10 9 7 6 7 8 8 8 8 8 8 7 6 5 4 5 6 4 4 5 7 10 11 12 12 12 12 11 11 10 9 9 9 9 10 9 9 8 8 8 8 8 7 8 8 9 10 10 9 8 8 8 8 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 9 12 18 24 23 18 13 10 9 10 10 10 9 8 8 nan
nan 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 10 11 11 11 9 7 5 5 5 4 4 5 6 7 8 9 9 9 8 8 7 7 7 7 8 8 7 6 4 3 2 2 4 5 4 3 2 3 4 7 10 12 13 12 12 12 11 10 10 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 5 6 6 6 7 8 10 11 10 8 8 13 18 18 16 12 10 9 9 9 9 8 8 7 nan
nan 7 7 8 8 8 8 8 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 9 10 10 10 10 11 12 10 7 6 6 6 5 5 5 6 6 7 8 9 9 9 9 8 8 6 6 6 6 6 5 4 1 -0 1 3 4 5 4 3 2 1 3 6 10 12 13 12 12 12 11 11 9 8 8 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 7 6 6 7 7 8 8 10 12 14 14 10 8 10 13 13 13 11 9 8 8 8 8 7 7 6 nan
nan 8 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 10 9 9 8 8 9 10 10 9 10 11 12 10 8 7 7 8 7 6 6 6 7 7 8 8 9 10 10 10 9 8 6 6 6 6 6 6 4 2 2 3 4 6 6 6 4 2 1 2 5 8 11 12 13 13 12 11 10 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 8 9 9 10 11 13 15 16 13 12 11 11 11 10 9 8 8 7 7 7 6 6 6 nan
nan 8 8 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 8 9 9 9 10 9 9 9 9 9 10 10 9 8 9 10 10 9 9 9 9 9 8 7 7 8 8 8 8 9 9 10 10 10 9 7 7 6 7 7 7 7 6 5 5 5 6 7 7 6 4 3 2 1 2 6 9 12 13 13 12 11 10 10 10 10 9 9 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 9 9 9 10 11 13 15 16 17 16 12 10 9 8 8 7 7 6 6 6 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
83 80 86 103 142 222 435 634 705 505 257 113 56 30 15 11 16 21 20 15 9 8 8 10 12 13 12 11 12 14 12 11 8 9 9 9 10 11 9 7 10 13 13 17 24 38 46 46 41 34 28 23 18 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 29 56 86 116 175 242 282 315 356 382 389 328 283 263 230 210 207 221 245 278 301 307 354 440 517 571 638 745 859 950 1042 1176 1295 1285 1279 1389 1560 1593 1498 1376 1247 1112 1006 936 914 837 804 788 818 779 749 748 749 810 910 887 808
104 103 98 102 130 193 277 347 326 241 144 75 39 19 8 8 9 15 18 16 12 9 7 8 9 11 10 7 8 9 8 8 7 6 5 5 7 9 8 6 7 10 11 14 22 31 36 34 29 25 23 19 16 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 46 84 129 190 221 206 219 237 244 238 227 197 196 190 183 181 174 177 207 215 240 318 407 495 579 715 888 1030 1116 1195 1313 1391 1347 1344 1332 1399 1490 1489 1423 1329 1179 1088 1059 1064 1010 961 974 948 848 751 688 680 760 902 980 865
111 101 101 102 115 118 139 149 132 102 63 29 15 7 5 7 8 11 13 11 8 8 8 7 7 6 5 3 3 6 7 7 6 4 3 2 3 6 7 4 5 8 11 15 20 26 28 28 26 25 24 18 15 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 32 66 113 167 184 165 147 130 162 183 175 160 156 155 154 152 148 159 182 180 212 282 360 453 556 722 950 1140 1250 1335 1523 1624 1615 1589 1525 1508 1499 1463 1419 1364 1257 1180 1183 1207 1183 1108 1018 926 857 788 707 669 699 826 883 830
131 123 120 102 99 96 100 96 78 56 35 16 4 4 5 8 8 8 10 12 14 12 9 8 7 5 4 1 1 4 5 4 3 3 2 2 1 2 5 3 4 7 10 14 18 23 26 26 26 24 24 19 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 46 80 122 140 125 130 128 141 145 135 127 125 119 115 115 114 112 131 140 164 214 300 380 444 585 824 1076 1258 1398 1658 1824 1833 1763 1674 1597 1517 1448 1420 1382 1326 1245 1200 1237 1227 1126 992 880 778 669 588 561 609 675 682 689
150 146 126 113 114 112 106 88 62 41 30 19 6 10 14 13 7 8 10 12 11 9 8 8 6 4 3 2 2 2 1 1 1 0 0 0 0 0 1 2 3 5 7 11 17 22 24 24 23 21 17 10 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 4 14 33 59 99 111 114 116 120 128 129 116 104 97 84 79 87 86 87 89 94 108 128 174 238 309 438 652 891 1124 1320 1540 1682 1713 1723 1755 1730 1628 1475 1421 1357 1264 1208 1190 1203 1217 1180 1091 981 827 689 560 483 484 505 504 507
148 151 142 131 127 118 114 99 72 48 33 24 19 20 23 21 9 10 18 27 26 19 16 12 7 4 2 2 2 1 0 1 1 1 0 0 0 0 0 1 3 4 5 8 14 19 22 24 23 18 11 6 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 5 14 29 62 90 103 108 116 116 108 102 94 84 78 62 56 63 67 67 62 61 67 78 99 152 261 407 543 675 872 1058 1218 1346 1467 1626 1766 1771 1700 1565 1462 1387 1347 1282 1218 1214 1237 1246 1219 1185 1088 912 722 550 428 393 413 397
138 148 135 129 114 97 89 86 73 54 39 32 29 23 28 28 12 17 27 35 43 43 32 18 8 4 2 2 1 0 0 0 0 0 0 0 0 0 0 1 5 6 5 6 10 16 20 23 27 21 10 4 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 16 31 61 76 86 91 104 99 82 75 78 78 68 56 52 57 56 50 44 41 45 54 65 93 170 288 380 463 587 730 879 1017 1148 1349 1528 1579 1581 1531 1434 1362 1323 1281 1217 1167 1154 1211 1236 1233 1162 1040 883 721 552 397 382 361
139 145 118 111 94 78 67 62 59 54 49 42 40 30 38 36 31 28 25 24 27 27 21 16 9 5 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 7 12 16 19 22 18 9 3 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 15 31 44 52 63 65 69 62 50 57 67 63 51 50 42 42 38 31 27 26 30 35 42 54 86 135 180 236 301 382 501 653 806 1008 1136 1211 1288 1319 1285 1226 1173 1134 1121 1091 1047 1090 1126 1140 1122 1068 992 919 816 602 464 375
149 140 102 89 82 76 68 63 61 55 43 43 39 34 34 34 36 33 23 16 16 19 8 10 7 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 8 11 14 13 10 5 1 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 6 17 35 36 41 49 51 49 45 41 43 46 39 38 40 32 25 21 20 18 17 17 20 18 22 37 54 68 87 111 146 210 315 449 605 723 838 952 1035 1065 1044 1000 965 1009 988 949 951 962 975 941 898 914 898 890 793 665 595
141 128 101 87 91 95 92 86 72 49 26 35 27 20 19 20 18 11 9 9 9 10 7 8 5 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 2 3 5 8 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 4 19 40 35 36 42 46 45 40 35 37 36 30 27 25 19 12 10 10 8 7 10 11 10 10 12 17 23 29 38 52 74 118 185 269 379 498 614 719 798 834 852 818 873 851 830 821 799 791 801 774 749 716 698 688 646 574
121 117 104 95 99 101 93 78 58 29 12 16 11 8 8 9 7 5 5 5 7 9 8 6 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 4 6 6 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 1 1 1 4 17 33 33 30 30 33 38 35 29 28 23 18 14 11 9 7 6 6 6 7 9 9 9 10 12 14 16 16 17 23 29 41 68 103 151 218 309 399 475 550 622 641 647 638 643 660 650 625 645 635 590 521 468 431 389 332
108 104 98 93 89 80 69 56 43 22 9 8 13 7 4 5 5 4 3 4 6 8 9 6 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 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 3 11 20 25 26 26 27 26 20 17 18 16 12 8 6 6 6 7 7 8 10 11 13 14 15 16 17 17 17 16 18 19 23 33 45 60 84 125 170 212 277 336 362 363 359 380 405 406 414 459 498 447 361 308 268 220 159
89 77 77 79 73 64 56 46 36 26 18 16 9 6 5 5 5 4 3 4 4 4 3 2 2 2 1 1 1 1 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 1 3 8 13 15 16 18 18 20 18 15 14 12 8 6 6 6 6 7 8 11 13 16 17 17 16 16 17 20 18 18 17 16 17 19 25 35 45 54 70 88 111 131 144 143 137 156 174 177 195 219 232 236 208 177 148 111 81
66 65 74 71 61 53 46 35 30 29 25 23 11 6 5 5 5 4 4 4 4 4 4 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 7 7 7 8 12 14 13 11 10 9 7 6 7 7 8 9 11 13 15 17 18 18 17 16 14 17 18 18 17 15 14 14 17 23 30 34 39 44 49 53 57 60 54 59 72 82 85 90 92 101 103 95 80 65 54
78 88 88 76 60 47 41 36 31 31 28 26 17 8 5 5 6 5 4 3 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 4 7 10 11 10 10 10 9 8 8 8 9 10 10 9 11 13 15 17 18 16 16 14 10 12 14 16 16 15 13 13 12 14 16 20 23 25 27 32 35 36 34 33 38 47 51 54 58 65 68 63 58 47 37
112 125 113 90 70 52 40 35 32 31 30 29 22 11 5 6 6 5 4 3 4 3 4 3 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 3 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 1 2 2 2 4 6 7 8 8 8 8 8 8 9 9 10 10 10 10 11 12 14 17 18 14 14 11 10 12 13 14 13 14 13 13 10 9 9 10 12 13 14 17 21 23 22 19 21 26 30 34 37 42 45 40 38 35 32
133 136 112 80 64 58 40 34 32 30 31 29 23 12 5 7 7 5 4 3 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 6 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 1 2 3 3 4 5 6 8 9 9 9 7 7 7 8 8 8 9 11 12 13 14 15 15 13 13 12 12 13 14 13 12 12 13 12 10 8 7 7 7 7 7 9 13 12 10 10 12 15 16 17 21 25 26 23 20 19 16
113 96 66 42 41 50 42 37 32 28 30 29 17 5 4 6 7 6 4 4 4 5 4 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 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 6 8 10 11 10 8 6 6 8 10 10 11 11 12 13 13 13 13 13 13 12 13 14 13 12 11 11 11 13 12 10 9 8 7 7 7 7 7 7 7 8 10 12 13 14 16 20 20 17 15 15 14
67 55 46 42 44 46 46 41 31 28 29 29 18 6 4 5 6 6 5 4 4 4 4 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 0 0 0 0 0 0 0 0 2 2 2 2 3 5 5 7 9 11 11 11 10 9 8 8 8 8 10 12 12 12 12 11 11 11 12 12 13 13 12 11 10 11 10 10 10 9 9 9 8 8 9 10 10 10 10 9 11 13 14 15 18 21 20 18 16 15 15
41 47 51 55 59 46 49 42 29 29 30 30 22 10 4 5 6 7 5 4 3 3 3 3 2 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 0 1 3 2 2 3 4 5 6 8 10 12 10 10 10 10 10 9 7 6 8 11 12 12 11 11 10 11 12 13 14 13 12 10 10 10 11 10 10 10 10 10 9 9 10 11 12 13 14 14 14 15 16 17 20 22 21 18 16 14 14
35 49 54 58 69 39 46 40 33 33 33 31 25 14 6 9 6 6 5 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 4 4 5 6 7 9 10 11 9 9 10 10 10 9 9 8 7 9 12 12 10 10 10 11 12 13 13 12 11 11 11 11 11 12 13 14 14 13 11 11 11 11 13 16 19 20 20 20 19 17 17 18 18 17 14 12 12
24 28 28 35 64 38 43 44 44 39 35 32 29 19 9 25 9 7 6 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 5 5 5 6 8 10 11 11 10 10 10 10 10 9 8 7 6 8 10 11 10 10 11 12 13 14 14 12 12 11 11 12 13 14 15 16 15 15 14 14 14 15 16 20 25 25 24 24 23 20 18 16 15 13 13 12 11
18 12 8 14 51 46 45 49 47 39 34 33 30 24 16 29 23 15 8 5 4 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 0 0 0 0 2 3 4 4 5 5 6 7 9 11 12 12 11 11 10 10 10 10 8 7 8 8 10 11 11 10 11 12 14 14 14 13 12 12 12 13 14 15 16 16 16 15 15 16 16 18 21 26 27 26 26 25 22 19 16 14 13 12 11 11 11
15 8 2 5 34 47 47 51 46 38 33 35 35 32 32 34 31 23 14 9 7 6 5 4 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 1 2 3 4 4 5 6 7 9 12 14 13 12 11 11 10 11 11 9 10 11 11 12 13 12 11 11 14 15 14 14 13 13 12 13 14 15 16 16 16 16 15 15 16 17 18 20 22 24 24 24 23 20 17 15 14 13 12 11 11 11
11 5 2 9 32 44 46 50 46 38 35 35 36 36 37 35 31 27 19 14 13 12 12 8 4 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 1 2 4 4 5 6 7 8 10 12 13 12 12 11 10 10 11 10 9 9 10 12 14 14 14 13 13 15 15 14 13 13 13 13 13 14 15 16 16 16 16 16 16 16 16 17 19 20 21 22 22 20 18 17 15 14 13 12 11 11 11
6 1 1 8 25 37 42 42 39 40 43 43 41 39 34 30 28 27 22 16 15 15 16 14 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 2 1 3 5 5 6 8 9 9 9 11 11 12 12 11 10 9 10 10 10 11 12 14 15 16 15 14 15 15 15 14 14 13 13 13 13 14 14 15 15 15 16 16 16 16 16 17 18 18 19 19 19 18 17 16 15 14 13 12 11 10 11
2 0 0 1 10 24 32 44 60 66 56 48 36 36 24 23 25 25 21 15 13 16 18 15 13 9 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 1 3 4 5 6 6 8 10 10 10 11 11 11 12 11 9 9 9 9 10 11 12 14 15 16 16 16 15 16 15 14 14 14 13 13 14 14 14 15 16 17 17 16 16 17 16 16 17 17 18 17 17 17 16 15 15 14 13 12 11 10 11
0 0 0 0 7 15 21 31 40 39 36 35 23 28 24 21 17 16 15 11 9 16 21 15 14 8 6 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 0 0 0 0 0 1 2 2 3 4 6 7 8 10 11 11 11 11 11 11 11 10 9 9 9 10 11 12 13 15 16 17 17 16 16 15 14 14 14 13 13 14 14 14 14 15 15 16 17 16 17 17 16 16 16 17 16 16 16 16 15 14 14 13 12 11 11 11
0 0 0 0 5 12 16 19 20 20 20 20 15 20 19 13 8 6 6 5 6 13 16 11 7 3 2 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 2 4 3 2 4 6 7 9 10 11 12 13 13 11 11 11 10 9 9 9 9 10 11 13 15 16 17 17 16 15 15 15 14 13 13 13 13 13 13 12 13 14 15 15 15 16 17 17 16 16 17 16 15 15 14 14 14 14 13 12 11 11 10
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