Vorticity
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nan 9 8 8 7 5 4 5 10 12 11 10 10 9 9 9 9 9 8 8 8 9 9 8 9 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 7 6 5 6 8 8 8 8 8 8 9 10 10 10 9 9 9 10 11 12 12 11 11 11 12 10 8 7 7 8 9 9 9 9 8 8 7 7 5 4 4 3 4 5 6 6 6 7 7 6 5 7 8 8 7 7 7 9 10 11 11 11 10 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 8 9 9 9 6 4 4 6 9 12 nan
nan 9 9 8 6 4 3 5 9 11 12 11 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 8 8 6 4 4 6 8 8 8 8 8 7 8 9 9 10 10 10 9 9 10 10 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 10 9 7 6 5 5 5 5 6 5 5 6 6 6 6 7 9 10 9 8 8 9 11 12 12 11 10 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 7 8 9 7 6 5 5 7 10 nan
nan 10 8 6 4 3 3 6 11 13 13 11 10 9 9 9 9 8 7 6 7 9 9 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 7 6 4 5 7 8 8 8 8 7 7 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 11 10 10 10 10 10 10 9 9 8 7 6 6 7 7 8 7 7 7 8 7 5 5 7 8 9 9 10 12 14 15 15 13 10 8 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 7 6 5 6 7 nan
nan 8 5 4 5 5 6 9 13 14 12 10 9 9 9 9 8 7 6 7 8 9 8 8 7 6 5 5 6 7 7 8 9 8 8 8 8 8 8 8 8 7 7 5 5 7 9 8 8 8 7 7 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 11 12 12 11 11 10 9 7 6 6 6 6 6 7 8 8 8 9 9 10 10 7 4 4 5 5 6 8 12 16 18 18 15 12 8 6 6 6 7 7 8 8 8 7 7 7 8 8 8 9 9 9 9 8 7 6 5 6 7 8 8 7 6 5 6 nan
nan 7 5 6 7 7 6 9 13 13 11 9 9 9 9 8 8 7 7 7 7 7 6 5 3 2 2 3 5 6 6 7 7 6 5 7 8 9 9 8 7 7 7 7 8 10 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 12 12 13 12 11 9 7 7 7 6 6 6 8 8 8 9 9 10 11 9 5 5 5 5 4 5 8 12 14 16 15 12 8 5 5 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 5 6 7 8 8 7 6 5 nan
nan 8 7 7 6 6 5 9 13 13 11 9 9 8 8 7 6 6 7 7 5 3 2 2 1 1 3 5 6 6 6 6 5 5 7 9 11 11 10 9 8 8 8 9 10 11 11 12 11 10 9 10 11 10 10 9 9 8 7 8 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 8 7 7 8 8 8 8 9 10 11 10 7 5 6 6 6 6 7 9 11 11 11 10 8 5 5 7 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 6 5 5 5 6 8 9 9 7 6 nan
nan 8 6 4 4 5 7 11 13 13 11 9 8 7 7 5 5 7 7 7 4 2 2 3 4 5 7 9 10 9 8 7 8 10 12 14 14 12 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 11 10 8 6 6 6 8 9 8 8 8 9 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 10 11 12 9 7 6 7 7 7 7 8 9 10 9 8 7 6 6 8 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 7 6 5 5 5 5 6 6 9 10 9 7 nan
nan 8 5 3 4 8 11 12 13 12 11 8 7 6 6 5 6 7 6 5 2 1 4 6 8 9 11 13 14 11 10 10 11 13 14 14 13 11 10 9 9 9 8 9 9 9 10 10 11 11 13 13 12 10 9 7 7 8 9 10 9 8 8 9 11 11 11 11 11 11 11 9 8 7 7 7 7 8 8 8 9 8 8 9 9 11 12 11 8 6 6 7 8 8 8 8 9 9 9 8 7 7 9 11 11 10 9 9 9 8 9 9 9 9 10 11 11 11 10 9 9 8 6 5 4 5 5 6 6 6 8 10 10 8 nan
nan 7 5 5 8 11 12 12 11 12 11 8 6 7 7 6 6 5 3 1 0 3 6 8 9 11 13 13 13 11 10 11 11 11 12 11 10 9 9 8 7 7 8 9 9 10 10 10 10 11 11 10 10 9 10 11 13 14 14 13 11 10 11 12 12 11 11 11 11 11 9 8 7 6 6 7 7 7 8 8 8 9 10 10 11 11 10 8 6 6 7 8 8 8 8 9 10 10 9 8 7 8 9 10 10 9 10 11 11 10 10 10 10 11 12 12 12 11 10 8 7 6 5 4 4 5 5 6 6 6 7 9 10 10 nan
nan 8 7 7 10 13 12 9 10 12 11 8 7 8 8 6 4 3 3 2 4 6 7 8 9 10 10 10 10 10 10 10 10 11 12 11 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 11 14 15 16 16 15 14 14 14 13 10 9 10 11 10 9 8 7 6 6 6 7 7 7 7 6 7 8 10 11 12 11 8 6 5 6 7 8 8 8 8 10 11 10 8 7 6 7 7 7 8 9 10 11 11 11 12 12 13 15 15 15 13 11 8 6 5 5 5 5 4 5 5 6 7 7 7 8 9 10 nan
nan 8 8 9 11 11 9 7 8 10 10 9 8 8 7 5 4 4 6 7 8 8 7 7 8 7 7 8 10 11 11 10 11 12 13 11 8 7 7 7 8 9 9 10 9 9 9 9 8 8 8 8 9 10 11 12 13 13 15 15 16 16 16 14 11 10 10 10 9 8 7 7 6 6 6 7 8 7 5 4 5 6 8 10 10 9 8 7 7 7 8 8 8 8 10 11 11 9 6 5 5 5 5 6 6 6 7 9 10 12 14 16 18 20 19 17 14 9 5 3 3 4 5 5 5 5 5 6 7 7 7 7 8 10 nan
nan 7 8 10 10 8 6 5 7 9 10 9 8 6 5 4 5 6 8 8 8 8 7 7 8 7 8 10 12 11 10 10 11 12 12 10 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 11 11 11 12 13 15 17 18 18 16 15 13 11 9 7 7 6 6 6 6 7 8 9 7 5 4 5 7 8 9 8 8 8 9 9 9 9 8 8 9 10 11 9 6 4 4 4 5 5 4 4 5 6 8 9 11 14 16 18 19 18 15 10 4 2 2 3 5 6 7 6 6 5 6 7 8 7 7 7 9 nan
nan 8 9 10 9 7 5 5 7 9 9 9 7 6 5 5 6 7 8 8 8 8 8 8 8 8 9 11 11 10 9 9 9 10 10 9 8 7 8 8 7 6 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 13 16 19 20 20 18 16 13 9 7 6 6 6 7 7 8 9 10 9 7 6 6 7 8 9 8 8 8 9 10 11 11 10 9 9 9 9 8 6 4 5 5 6 6 5 4 5 7 8 9 9 9 11 12 13 12 10 6 1 -1 0 2 5 7 8 8 7 6 6 6 7 7 7 7 7 8 nan
nan 9 10 10 8 7 7 7 7 7 7 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 9 9 8 7 7 8 8 9 9 8 8 8 8 8 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 12 14 18 20 21 18 16 13 9 5 4 4 5 6 7 8 9 10 9 7 6 6 7 8 8 8 7 8 8 9 10 11 11 10 10 10 9 9 7 5 5 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 7 3 -2 -4 -2 2 5 7 9 10 9 8 6 6 6 6 6 7 7 7 8 nan
nan 9 10 9 8 8 8 7 5 5 7 9 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 12 14 17 18 16 13 10 6 3 1 1 3 4 5 7 8 9 9 7 6 6 8 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 8 7 7 8 8 8 8 8 8 8 8 9 8 8 7 8 8 8 7 4 1 -3 -2 3 7 10 11 11 10 9 8 6 6 5 5 5 6 7 7 8 nan
nan 9 9 10 10 10 8 6 3 3 6 9 10 10 11 11 11 10 8 7 8 8 8 8 8 8 8 7 8 9 9 8 7 7 8 8 9 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 11 12 13 12 9 5 3 1 0 1 2 4 5 6 6 6 7 8 7 8 9 9 9 8 8 9 10 10 9 9 8 8 8 8 8 8 7 6 6 7 8 9 9 8 8 8 9 9 8 7 6 6 7 8 8 6 4 1 1 6 11 14 15 14 12 10 9 7 6 5 5 4 4 5 6 8 9 nan
nan 9 10 11 11 9 6 3 2 4 6 9 11 12 11 10 9 7 6 8 9 9 9 9 9 8 8 8 9 10 9 6 6 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 6 3 1 0 1 2 4 7 8 8 7 6 6 7 8 9 10 9 8 7 8 9 11 12 11 10 9 8 7 7 7 7 6 6 6 7 8 8 9 9 8 9 9 9 9 8 7 6 6 7 8 7 6 5 6 9 15 19 19 17 15 12 10 8 6 6 5 4 4 4 5 7 8 10 nan
nan 9 10 10 8 5 4 3 4 6 8 10 12 13 11 9 8 7 8 9 9 9 9 10 9 8 8 9 10 9 6 5 7 9 9 9 7 6 6 7 8 8 6 5 6 7 8 8 8 8 8 8 8 8 8 9 8 8 6 5 3 2 1 2 4 6 9 10 11 11 10 9 9 10 10 10 9 7 6 6 9 12 13 12 10 9 8 6 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 8 11 16 20 20 18 16 15 13 10 7 5 4 4 4 3 4 5 7 9 11 nan
nan 8 8 8 6 5 5 6 7 8 10 12 13 13 11 9 8 9 9 8 6 6 8 8 8 8 9 10 11 10 7 7 9 10 10 8 7 5 6 7 8 8 7 7 8 9 9 8 7 7 6 7 7 8 8 8 7 6 5 3 2 3 4 6 7 9 9 10 10 11 11 11 12 12 11 9 7 6 6 8 11 12 11 9 8 7 6 4 6 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 12 15 15 15 14 14 13 11 8 5 3 3 3 3 3 4 6 8 10 11 nan
nan 8 8 7 7 7 7 8 8 9 12 14 14 13 11 9 9 9 7 5 5 6 7 7 7 9 11 12 13 13 12 12 12 10 8 6 5 6 8 9 9 9 9 11 13 12 10 8 6 5 6 7 7 8 8 7 6 5 4 3 3 5 7 8 9 9 8 8 9 10 10 11 11 11 10 8 7 6 8 10 10 8 6 5 5 5 4 5 7 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 10 10 10 8 5 2 1 1 2 3 4 5 7 9 10 10 nan
nan 7 7 7 8 8 8 8 8 10 12 14 13 12 11 10 9 8 6 5 6 7 8 8 9 10 12 13 14 15 14 13 12 10 8 6 6 8 10 10 9 9 10 13 14 13 11 9 8 8 9 9 9 8 8 6 5 5 4 4 6 8 9 10 9 9 8 8 9 9 10 10 11 10 9 7 6 7 10 11 9 6 5 5 5 4 3 5 7 8 8 8 9 9 10 11 12 12 11 11 11 10 10 10 10 9 9 9 9 10 11 11 10 9 8 7 7 6 6 5 3 2 -0 -1 0 1 2 3 5 6 8 9 9 9 nan
nan 8 8 8 8 8 8 8 8 10 12 12 12 11 9 9 8 6 5 5 7 10 11 11 11 12 13 13 13 13 11 10 11 12 12 10 10 10 9 7 7 8 9 10 11 11 11 11 12 13 12 10 9 8 7 6 5 5 4 5 6 8 9 9 8 8 8 9 9 10 10 11 11 11 10 8 7 9 11 11 10 8 8 8 7 6 6 6 6 6 7 7 8 9 10 12 12 12 11 11 11 11 11 10 10 10 9 10 11 12 12 11 10 9 8 8 6 3 1 -1 -2 -4 -6 -3 0 2 3 4 5 6 8 8 8 8 nan
nan 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 6 4 4 6 9 13 13 12 13 13 13 12 11 8 6 7 10 13 14 13 13 12 10 8 7 8 8 9 9 10 11 12 13 12 10 8 7 6 5 4 4 3 2 3 3 4 5 6 7 8 8 9 9 10 10 11 11 11 11 10 10 11 12 12 11 11 12 12 11 11 10 9 8 7 8 8 8 8 10 11 10 10 10 11 12 12 12 12 11 10 10 10 12 13 12 10 9 8 9 8 6 2 0 -1 -1 -2 -2 1 4 4 4 5 5 6 6 7 7 7 nan
nan 8 8 8 8 8 9 9 9 10 9 9 10 11 11 9 7 6 6 9 12 13 11 11 11 11 9 7 5 4 4 7 10 12 12 12 13 12 11 10 10 9 8 8 9 9 10 11 11 10 10 9 8 7 6 5 4 3 2 1 0 1 2 4 6 7 7 8 8 9 9 10 10 11 10 10 11 12 13 13 12 12 13 14 13 13 12 11 10 11 10 8 7 8 9 9 8 9 10 11 12 12 13 12 11 10 10 11 12 11 9 7 6 6 7 6 5 5 6 8 8 7 7 7 6 5 5 4 5 5 5 6 6 6 nan
nan 9 9 9 8 9 9 9 10 10 10 11 14 15 13 11 8 7 8 10 11 9 7 7 7 7 5 4 4 5 8 11 13 13 12 13 13 11 10 10 10 9 9 8 9 9 9 9 10 11 12 12 12 12 12 11 10 8 7 6 4 2 3 4 6 6 7 7 7 7 8 9 9 9 9 9 11 12 13 12 11 11 12 13 13 12 11 11 12 13 11 9 8 7 8 7 8 9 10 11 12 12 12 11 11 11 12 11 10 8 7 6 7 7 6 5 6 9 12 14 14 12 10 8 6 5 4 4 4 5 5 5 6 6 nan
nan 8 9 9 9 9 9 10 10 10 11 14 16 17 14 10 8 6 7 8 8 6 5 5 5 5 5 6 8 10 12 13 13 12 13 14 13 11 9 8 9 9 9 9 9 9 9 9 10 11 11 11 12 12 14 15 14 14 13 12 11 9 8 7 7 7 7 7 6 6 7 7 8 8 8 9 10 11 11 10 10 10 11 11 11 10 10 11 13 13 12 10 10 10 10 9 9 10 10 10 10 11 10 10 10 11 11 10 8 7 7 9 9 9 9 9 10 11 12 13 12 9 7 5 4 4 3 3 4 5 5 6 5 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
15 16 18 19 21 22 25 30 33 33 31 32 34 37 39 40 41 43 47 48 46 43 40 36 35 35 35 35 35 35 37 40 40 37 34 32 31 30 29 28 27 26 25 21 19 18 19 20 20 19 18 18 18 19 20 20 18 14 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 33 78 145 228 370 549 847 1141 1320 1459 1575 1647 1663 1609 1428 1269 1209 1097 1002 972 934 934 956 954 1030 1224 1457 1673 1965 2689 3131 3011 2519 2182 2290 2652 2723 2249 2188 2928 3387 3584 3542 3267 3071 2897 2601 2422 2135 1591
14 13 14 16 19 20 21 24 28 30 31 32 32 33 36 39 40 40 42 44 45 43 40 38 36 34 34 35 34 34 36 39 39 37 35 33 30 28 28 28 28 27 23 20 17 15 15 16 15 15 15 15 16 17 17 17 15 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 26 41 44 41 62 137 314 571 918 1339 1719 1922 1963 1992 1818 1522 1288 1177 1188 1165 1038 955 971 952 960 1026 1192 1444 1599 2137 2708 2952 2761 2311 2027 2380 2741 2339 2007 2209 2867 3323 3501 3540 3420 3211 2850 2694 2515 1860
14 14 13 13 14 16 18 20 22 25 29 31 32 32 33 34 38 39 39 39 40 40 39 37 37 36 35 36 34 35 36 38 39 39 37 34 29 26 27 27 28 26 21 17 15 13 12 13 14 13 12 13 14 14 14 14 12 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 24 26 20 13 9 17 58 164 366 699 1181 1651 1894 2093 2121 1849 1471 1263 1246 1263 1193 1071 1028 1018 996 972 1045 1199 1338 1612 2077 2581 2823 2453 1844 2187 2692 2623 2138 1833 2079 2594 3097 3443 3599 3537 3278 3152 2684 2084
10 11 11 10 11 13 16 18 20 22 24 26 29 31 32 32 35 37 38 38 38 37 37 36 36 37 36 38 38 38 39 39 40 40 37 31 28 27 28 28 28 25 20 17 14 12 11 11 12 11 10 11 12 12 12 12 10 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 24 18 14 11 10 10 14 30 68 155 442 905 1298 1678 1972 1969 1666 1394 1344 1357 1320 1275 1216 1168 1105 1017 999 1105 1255 1403 1646 2115 2631 2554 2061 2046 2448 2685 2349 1856 1688 1851 2210 2734 3331 3574 3588 3470 2938 2263
9 9 8 8 9 11 14 16 18 19 20 22 24 27 30 31 32 32 34 37 37 37 37 36 36 36 37 39 41 41 41 41 41 40 37 31 27 27 28 28 27 24 20 16 13 12 11 10 10 9 9 10 11 11 10 10 8 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 12 12 12 12 13 15 17 18 23 41 104 316 626 1000 1385 1671 1727 1592 1455 1394 1483 1623 1552 1441 1299 1136 1041 1064 1199 1370 1518 1782 2202 2418 2334 1933 2155 2536 2474 2097 1744 1554 1581 1817 2624 3128 3456 3531 3097 2310
5 5 5 5 7 8 11 14 16 17 18 19 20 22 26 28 31 31 31 33 36 38 38 38 37 37 37 38 40 41 41 41 42 41 37 31 28 27 27 28 26 23 20 16 12 11 11 9 8 8 9 8 8 8 8 8 7 5 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 1 5 7 8 10 12 15 18 21 26 32 36 44 92 194 429 736 1057 1336 1519 1623 1541 1714 1963 1986 1867 1615 1339 1154 1094 1179 1333 1470 1535 1765 1979 2246 2039 1992 2394 2620 2459 2117 1609 1550 1568 2075 2552 2922 3270 3168 2307
1 1 2 3 5 6 8 11 13 15 16 17 18 20 23 24 26 29 31 31 31 33 35 36 37 37 38 39 40 40 41 42 42 41 37 32 28 27 27 27 24 21 18 16 14 13 10 8 8 8 8 7 8 7 6 5 5 4 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 2 4 6 9 12 16 18 21 26 33 39 41 54 66 152 315 523 791 1089 1533 1513 1692 2018 2241 2233 1951 1556 1293 1183 1223 1307 1374 1358 1452 1583 1836 1931 1907 2236 2787 2851 2768 2131 1716 1589 1661 1855 2160 2614 2996 2445
1 0 0 1 2 3 5 8 11 13 14 15 16 18 18 20 22 24 27 31 33 33 32 32 33 35 36 38 40 40 40 41 41 40 37 32 29 27 28 28 25 20 17 14 12 11 8 7 7 7 7 6 6 6 5 4 3 2 0 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 3 5 8 12 16 19 21 25 37 42 42 50 62 81 125 216 432 614 938 1182 1446 1735 2039 2199 2053 1722 1449 1223 1126 1174 1284 1337 1378 1417 1506 1633 1759 1927 2742 3078 3208 2810 2188 1714 1539 1550 1705 2105 2724 2665
2 2 0 0 0 2 4 7 10 11 12 13 15 17 16 17 18 21 24 26 29 33 34 33 32 32 34 35 36 37 38 38 38 37 35 30 28 29 28 27 24 19 14 11 10 9 6 7 7 6 5 5 4 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 1 2 4 8 13 18 20 20 26 35 40 41 43 52 65 73 93 235 364 534 743 982 1243 1542 1787 1828 1721 1536 1331 1171 1113 1221 1361 1446 1458 1409 1394 1612 1734 2496 3015 3292 3226 2663 1938 1631 1554 1604 1972 2593 3031
1 0 0 0 0 1 3 6 9 10 11 12 14 16 16 15 16 18 20 22 24 26 31 32 33 33 34 34 35 35 36 35 33 34 32 31 30 30 29 27 23 17 12 9 8 7 6 5 5 4 4 4 3 4 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 0 0 2 5 8 12 17 20 22 26 33 37 40 42 44 56 63 73 138 223 316 444 627 864 1118 1335 1490 1579 1504 1380 1240 1178 1222 1351 1496 1548 1517 1387 1535 1822 2340 2877 3269 3377 3063 2379 1928 1637 1566 1886 2415 2911
0 0 0 0 0 0 2 5 7 10 10 10 11 14 16 16 15 15 16 20 22 22 23 26 28 30 32 34 35 35 35 35 33 32 31 30 31 31 30 26 21 16 11 9 5 4 3 3 3 4 4 3 2 4 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 0 0 2 4 7 11 15 20 25 30 34 39 43 45 43 50 58 66 87 128 196 286 414 615 830 1003 1173 1344 1416 1405 1307 1214 1212 1292 1442 1601 1580 1508 1560 1799 2224 2770 3208 3383 3376 3002 2544 1927 1593 1665 2001 2533
0 0 0 0 0 0 1 4 7 9 9 10 11 12 13 15 16 16 15 18 20 21 22 22 23 24 26 28 30 32 34 34 33 33 33 33 33 32 30 26 20 15 10 7 3 2 2 2 2 3 4 3 2 3 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 1 5 7 10 15 20 27 33 37 42 45 48 48 53 59 63 69 80 114 183 274 430 607 757 914 1090 1255 1331 1278 1194 1186 1231 1363 1473 1468 1414 1419 1576 1949 2436 2844 3207 3531 3498 3223 2469 1931 1692 1729 2120
0 0 0 0 0 0 2 4 6 8 8 9 9 11 11 13 15 16 15 16 17 19 20 21 21 22 23 24 25 27 29 31 33 34 34 33 32 31 29 26 21 14 9 6 3 2 2 1 2 2 2 2 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 2 5 7 11 15 20 27 34 37 44 48 53 54 57 62 64 66 72 83 111 166 288 426 576 727 903 1090 1219 1239 1159 1131 1183 1293 1366 1363 1283 1224 1306 1575 1940 2261 2580 3076 3349 3384 3044 2584 2152 1781 1788
0 0 0 0 0 0 2 3 5 7 7 8 9 10 11 12 13 15 16 16 16 16 17 17 18 19 20 22 23 24 25 26 27 29 28 27 27 28 27 25 21 15 10 5 2 2 1 0 1 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 1 3 5 8 11 14 18 25 32 37 43 51 59 57 57 60 62 62 66 74 83 94 160 281 427 570 727 913 1097 1184 1088 1056 1090 1167 1228 1255 1225 1166 1173 1298 1519 1718 1892 2338 2857 3211 3289 3117 2735 2105 1792
0 0 0 0 0 0 1 3 5 7 6 6 6 7 8 10 10 11 12 16 17 16 14 14 14 15 16 18 20 21 23 25 26 26 25 26 26 26 25 23 19 14 9 4 2 2 1 0 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 1 3 5 8 11 14 17 23 31 39 51 54 59 59 57 57 57 60 60 62 75 84 104 174 286 420 551 669 913 1081 1089 1033 980 1029 1119 1167 1175 1152 1129 1136 1303 1391 1444 1709 2192 2711 3158 3284 3114 2537 2080
0 0 0 0 0 0 0 2 4 6 6 5 5 6 7 8 8 8 10 13 13 13 13 13 12 13 14 15 15 18 19 22 24 25 26 26 26 26 25 21 15 11 7 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 1 3 5 8 11 14 17 21 30 40 49 54 58 62 61 56 54 60 62 63 68 77 90 120 189 303 428 520 707 925 1100 1072 959 946 1026 1093 1136 1161 1146 1116 1225 1284 1297 1360 1552 1975 2750 3179 3221 2813 2388
0 0 0 0 0 0 0 2 3 5 6 5 5 5 5 6 6 8 8 10 10 10 11 10 10 10 12 13 13 14 16 17 20 22 24 26 27 27 24 18 13 8 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 1 2 4 6 9 12 15 18 21 27 36 44 52 58 64 69 60 53 55 58 62 64 71 79 92 133 238 364 433 551 738 978 1067 1007 938 960 1096 1181 1193 1171 1152 1190 1243 1270 1278 1314 1382 2019 2690 3097 2941 2662
0 0 0 0 0 0 0 1 2 4 6 5 5 5 5 5 5 6 8 8 8 8 7 7 7 8 9 10 11 13 14 16 16 17 19 22 23 22 20 15 10 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 1 2 4 7 10 13 16 19 21 26 32 39 47 54 62 74 66 58 53 57 59 59 63 72 76 88 166 315 407 471 588 788 973 1038 980 886 1044 1207 1225 1188 1153 1153 1197 1250 1254 1282 1257 1526 1957 2563 2885 2874
0 0 0 0 0 0 0 0 2 4 4 5 5 5 5 5 5 6 7 6 6 6 5 5 6 7 8 8 10 12 14 15 15 14 14 15 17 16 15 11 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 1 3 6 9 11 14 16 20 22 24 28 34 44 52 60 71 68 60 52 57 62 60 61 67 73 72 94 234 357 431 509 639 820 989 1018 914 990 1128 1225 1232 1175 1135 1158 1208 1244 1260 1255 1318 1485 1921 2376 2553
0 0 0 0 0 0 0 0 2 3 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 5 7 7 9 10 13 14 13 13 13 13 13 13 10 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 2 5 6 10 13 15 17 21 23 25 26 30 38 46 57 65 65 63 59 62 69 67 64 65 73 76 77 166 294 402 474 531 647 852 950 949 984 1077 1199 1259 1211 1151 1143 1168 1199 1216 1216 1261 1356 1545 1841 2096
0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 2 4 5 5 5 4 3 2 2 3 4 5 6 8 9 11 13 14 14 13 12 12 10 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 0 0 0 0 0 0 0 0 2 6 8 12 14 15 17 21 25 26 26 29 32 38 47 58 60 60 61 68 76 77 71 66 73 79 86 134 228 352 456 481 541 689 823 918 1005 1080 1167 1255 1235 1179 1158 1155 1167 1170 1189 1233 1297 1397 1518 1782
0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 5 5 4 3 2 2 2 3 5 6 5 7 8 10 12 13 13 12 10 9 6 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 1 5 9 11 13 15 16 18 21 23 25 26 27 28 30 37 48 54 55 60 71 81 80 68 67 73 81 94 125 187 296 429 482 515 597 703 830 977 1104 1184 1245 1234 1220 1199 1165 1131 1136 1170 1207 1229 1296 1385 1537
0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 4 3 2 1 1 2 2 3 5 6 6 7 8 8 9 10 10 9 8 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 0 2 7 10 13 16 17 18 20 21 22 22 23 26 26 26 31 39 46 53 63 74 82 82 76 75 79 86 101 126 173 248 378 470 513 553 604 702 877 1063 1199 1248 1215 1229 1235 1232 1229 1213 1176 1190 1190 1250 1330 1416
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 3 4 4 5 6 7 7 8 11 11 8 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 0 1 4 8 11 14 18 20 21 21 21 21 20 20 23 24 25 27 33 40 49 62 66 76 83 85 88 92 95 109 133 163 191 263 385 488 552 581 629 745 943 1138 1227 1199 1185 1204 1266 1351 1361 1264 1222 1217 1266 1325 1384
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 2 2 3 4 6 7 9 9 7 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 0 1 3 8 13 17 21 23 23 23 23 22 20 20 22 24 25 28 33 38 43 61 73 81 88 93 100 105 100 106 131 152 161 184 277 422 542 586 590 616 829 1041 1166 1185 1155 1149 1241 1437 1506 1433 1303 1236 1238 1270 1323
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