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 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 9 17 24 23 14 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 2 -4 -5 -1 3 5 5 5 5 5 3 3 4 5 6 5 4 2 1 1 1 2 4 5 7 6 5 3 2 2 6 11 16 20 21 21 20 18 15 14 12 11 9 8 7 6 6 7 8 10 11 10 9 8 nan
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nan 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 5 4 6 8 10 9 8 8 8 9 10 9 8 8 8 8 9 10 11 12 11 11 12 12 11 9 7 7 8 8 10 11 12 13 13 13 11 8 5 4 4 5 6 6 6 6 7 9 10 11 12 13 11 10 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 14 15 15 15 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 5 4 4 6 9 9 9 8 8 8 9 9 9 8 9 9 9 9 10 10 9 9 10 11 10 9 9 9 9 9 9 11 14 16 17 16 14 11 8 6 6 7 7 6 5 5 5 7 8 10 12 16 17 15 13 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 10 10 10 9 10 10 10 10 10 10 10 11 12 14 15 15 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 8 8 8 7 5 4 5 7 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 8 8 10 11 11 10 11 12 14 15 15 15 14 12 10 9 9 10 9 8 6 6 6 6 6 7 10 15 17 17 18 18 18 17 16 15 13 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 10 11 12 14 15 nan
nan 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 8 8 7 7 8 8 8 7 5 5 7 9 9 9 9 8 8 8 9 9 9 9 10 11 10 9 9 8 8 9 8 8 8 9 12 14 14 13 13 13 13 11 11 11 11 11 10 10 10 10 9 8 8 8 8 6 5 5 6 9 12 16 20 23 25 24 21 17 13 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 13 15 nan
nan 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 4 4 4 5 6 7 8 8 7 7 7 8 8 8 8 8 7 6 6 7 9 11 11 11 10 8 8 9 10 9 10 10 11 11 10 9 8 8 8 8 8 8 8 10 12 14 15 16 17 16 14 13 12 12 12 12 11 10 9 9 8 8 9 9 8 7 6 5 5 5 8 12 17 20 22 21 19 16 13 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 12 14 nan
nan 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 4 4 4 5 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 11 11 12 11 10 9 10 11 11 11 11 11 10 9 8 8 7 7 6 7 8 9 10 11 12 13 15 17 18 18 17 16 16 15 14 13 12 11 10 9 9 9 10 9 8 8 7 7 6 6 8 10 12 13 13 13 12 12 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 12 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 7 8 8 8 7 7 8 9 10 9 8 7 7 8 8 8 9 9 10 10 10 10 10 11 12 12 11 11 10 9 8 7 7 7 5 5 5 7 8 9 10 11 12 14 15 16 17 18 18 17 17 16 15 14 12 10 10 9 9 10 10 10 9 8 7 7 8 8 9 9 10 10 9 8 8 11 15 17 16 14 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 7 8 10 10 9 9 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 9 9 9 10 11 12 11 11 10 9 8 8 8 8 6 5 5 6 9 10 10 11 13 14 16 16 16 16 16 16 15 14 13 13 12 11 10 10 10 10 11 10 9 9 8 8 9 10 10 10 10 10 9 8 8 8 11 15 18 18 17 15 13 11 11 11 11 10 10 10 10 10 11 11 11 12 12 11 11 10 10 9 9 10 11 12 12 12 nan
nan 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 7 7 8 8 9 10 10 10 9 8 8 8 9 10 10 8 8 8 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 10 11 12 12 12 10 8 7 7 8 9 9 10 12 14 15 16 15 14 14 13 12 11 10 10 10 10 10 11 11 12 12 11 9 8 8 9 10 11 11 11 11 11 10 9 8 8 9 11 12 14 16 18 18 16 14 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 10 11 12 12 12 nan
nan 8 8 8 8 7 8 8 8 7 7 8 8 7 7 7 7 7 6 6 6 7 8 8 8 9 9 9 8 8 8 8 9 10 11 10 9 8 8 8 8 9 9 9 9 9 10 10 9 9 8 7 8 8 10 12 13 14 14 13 11 10 10 8 7 7 9 12 13 12 11 10 10 9 8 8 8 9 8 8 8 9 11 13 13 12 10 8 7 8 10 11 12 11 11 12 11 10 9 8 9 10 10 10 10 12 15 17 18 17 15 14 13 13 13 12 12 11 10 10 11 11 10 10 10 9 9 9 9 10 10 11 12 12 nan
nan 7 7 7 7 7 8 8 8 7 7 8 8 7 7 7 6 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 10 12 13 12 10 9 8 8 8 8 8 9 9 10 10 9 9 8 7 7 7 8 10 12 12 13 13 13 12 12 10 7 7 8 10 11 10 8 7 7 6 6 7 8 9 9 8 7 7 9 10 12 12 11 10 10 9 10 10 11 10 10 10 11 11 10 9 8 9 9 9 9 9 9 10 13 16 18 18 19 20 20 20 18 15 12 10 10 10 9 9 8 8 8 8 9 9 9 10 11 11 12 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 8 8 8 7 8 8 10 12 13 12 11 9 8 8 7 7 8 8 9 9 9 8 8 7 7 7 8 10 11 12 12 12 12 12 12 12 10 8 9 11 11 10 8 7 7 7 7 7 8 10 11 10 8 7 8 9 10 11 10 10 11 11 12 12 11 10 9 9 9 9 9 8 7 7 7 7 7 8 7 7 8 10 13 16 18 21 22 23 22 20 15 10 9 9 9 8 8 7 7 7 8 9 9 10 10 10 11 12 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 12 12 11 9 7 7 7 7 7 8 8 9 8 8 8 7 7 8 9 10 11 12 12 12 11 11 11 12 11 9 9 10 11 10 9 8 8 9 9 9 9 11 12 11 9 8 8 9 10 10 10 10 10 11 12 13 13 11 10 9 8 8 8 7 7 6 6 6 5 6 6 6 8 9 10 11 11 13 15 17 16 14 10 6 6 8 8 8 7 7 6 7 7 8 9 10 11 11 11 11 12 nan
nan 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 7 9 10 11 11 10 8 6 6 7 7 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 10 10 11 11 10 8 9 9 9 8 8 7 8 9 10 10 11 12 11 9 8 8 9 10 10 10 9 10 11 12 13 14 13 12 11 10 9 9 9 8 8 8 8 7 7 6 6 7 9 10 10 9 9 9 10 10 9 5 -1 -1 3 7 8 8 8 7 7 7 8 9 10 11 12 12 12 12 11 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 10 9 9 9 9 9 8 8 8 7 6 5 6 7 10 11 11 10 9 8 7 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 7 7 8 8 7 7 7 7 8 8 9 10 10 8 7 7 9 10 10 9 9 9 10 11 12 13 13 13 12 12 11 10 10 10 10 10 10 10 9 9 8 8 8 9 10 9 9 8 8 9 9 6 2 -1 1 5 8 9 9 9 8 8 8 9 9 11 12 13 13 13 12 11 nan
nan 8 7 7 7 7 7 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 6 6 7 9 11 11 10 9 8 8 9 10 10 10 10 11 10 10 9 9 8 8 7 7 7 8 9 10 10 9 9 9 8 7 6 5 6 6 7 7 7 8 7 7 6 6 8 8 8 8 9 10 9 8 8 10 11 12 12 12 13 13 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 7 4 1 2 6 11 14 13 12 10 10 9 9 9 9 10 12 13 13 13 11 10 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 7 7 7 9 11 12 11 10 9 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 7 8 9 9 9 9 8 7 7 6 5 5 5 6 6 7 9 10 10 9 7 6 6 8 9 10 10 10 9 7 8 10 12 13 13 13 13 13 13 12 11 11 10 9 8 8 8 8 8 8 8 9 10 11 10 10 9 8 7 8 8 8 7 6 6 10 17 21 21 19 16 13 11 10 9 8 8 9 11 12 12 12 11 9 nan
nan 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 9 10 11 11 10 10 9 9 8 7 6 7 8 9 9 9 10 9 9 8 9 8 8 8 8 7 7 6 6 5 5 5 5 5 6 6 7 9 10 11 11 10 9 9 10 11 12 11 9 7 6 7 10 13 14 14 13 12 12 13 13 12 11 11 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 8 7 7 8 9 10 11 14 20 25 26 25 23 21 18 14 11 8 7 7 7 9 10 11 12 11 9 nan
nan 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 10 10 9 8 8 7 8 9 9 10 11 11 10 10 10 10 9 7 6 6 7 8 9 9 10 12 11 10 9 9 9 8 7 6 6 6 6 5 5 5 5 5 6 7 7 8 9 10 10 10 10 11 12 13 13 12 10 8 6 7 10 13 14 13 12 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 11 13 16 19 20 20 19 20 20 18 14 10 7 6 5 6 7 8 10 11 11 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 7 8 9 9 10 11 12 12 11 10 9 7 7 7 8 8 8 9 10 13 15 14 12 11 9 8 8 7 7 8 8 7 7 7 7 6 6 7 8 8 8 8 9 9 9 10 11 11 12 12 11 9 7 7 10 13 14 12 10 9 9 10 11 10 10 10 11 12 11 11 11 10 9 9 10 10 11 10 10 9 8 8 9 9 10 10 9 9 9 10 11 12 12 12 12 13 13 13 11 8 6 5 5 5 6 7 9 11 11 10 nan
nan 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 7 8 9 10 11 12 12 12 10 8 7 7 8 8 8 8 8 10 14 15 15 14 13 12 10 9 9 10 10 9 9 8 8 7 7 7 8 9 8 8 8 8 8 9 10 10 11 11 11 10 8 7 9 13 15 14 11 9 9 9 9 8 7 8 9 10 10 10 10 9 9 10 11 11 10 10 10 9 8 7 7 8 9 10 10 10 10 9 9 9 9 9 8 5 4 4 4 3 4 5 5 4 5 5 7 10 11 11 10 nan
nan 8 8 8 8 8 8 8 9 8 8 7 7 8 9 9 9 8 8 8 8 8 7 7 7 8 9 10 11 11 10 11 11 11 10 9 8 8 7 6 6 8 10 12 13 13 14 15 15 13 11 10 10 9 8 7 7 6 5 6 6 7 7 7 8 8 9 9 9 9 9 10 11 11 10 9 9 12 15 15 14 12 11 11 11 10 9 8 8 8 10 10 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 7 3 -1 -4 -4 -4 -3 1 4 5 5 5 6 8 10 11 11 9 nan
nan 8 8 8 8 8 8 8 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 7 7 9 10 11 11 10 8 9 10 12 12 11 10 9 7 7 7 8 9 10 11 12 14 15 16 14 11 9 8 7 5 4 3 2 2 3 3 4 5 6 8 8 9 8 9 9 9 10 11 11 12 11 12 14 15 14 13 11 12 12 12 11 10 10 9 10 10 10 9 10 11 11 11 11 11 11 10 10 10 9 10 11 11 10 10 10 10 10 9 10 9 8 6 3 -0 -2 -2 -3 -1 3 5 5 4 4 6 8 9 11 10 8 nan
nan 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 9 10 10 9 7 7 8 10 12 12 11 10 9 8 9 9 9 9 9 10 11 13 14 14 13 12 10 9 7 5 4 3 3 2 2 1 1 3 5 7 8 8 8 8 9 9 10 10 11 11 11 12 13 14 13 11 10 11 11 11 11 10 8 10 11 11 10 9 10 10 9 9 9 10 11 11 11 10 10 11 11 10 9 9 9 9 8 8 9 10 10 9 9 8 8 7 5 6 6 6 5 4 4 5 7 9 10 10 8 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 7 6 7 9 11 12 12 11 10 9 9 9 9 9 8 8 9 11 11 12 12 13 13 12 11 10 10 9 8 8 7 6 4 3 3 5 6 6 7 7 7 7 8 8 9 10 9 10 11 11 11 10 9 9 10 10 10 9 8 8 10 11 11 10 9 10 9 8 8 9 10 11 11 11 11 11 10 9 8 8 8 7 7 7 9 10 10 11 11 13 14 15 12 10 8 7 5 4 4 4 5 7 9 10 9 8 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 8 7 6 6 6 6 6 7 8 8 8 8 10 11 11 12 12 11 9 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 11 9 7 7 6 6 6 6 6 6 6 7 8 9 9 9 10 10 9 8 8 9 9 9 8 7 7 8 11 11 10 9 10 11 11 10 9 10 11 11 10 10 10 10 10 9 9 8 8 7 8 10 12 12 11 10 10 11 13 12 10 8 7 6 6 5 4 4 5 7 9 9 9 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
4 4 5 5 6 6 7 8 10 13 17 20 23 24 26 28 30 34 31 30 34 34 34 34 35 37 39 41 44 49 52 60 61 59 57 57 58 58 56 55 56 57 55 50 47 46 46 44 39 34 28 22 18 16 16 16 14 12 10 9 8 9 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 1 2 8 18 33 51 68 80 82 80 76 69 74 106 173 280 405 536 818 1239 1635 1822 1742 1499 1242 1094 1063 1107 1160 1044 1258 2050 2514 2673 2783 2922 2847 2448 1894 1386 1125 1214
5 5 4 4 4 5 6 8 9 12 15 18 21 23 25 28 30 31 32 33 31 31 33 33 33 33 33 35 40 46 48 54 59 60 57 56 56 56 56 55 55 55 56 52 48 46 45 45 42 37 32 25 22 19 16 13 10 8 6 6 7 7 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 0 0 0 2 4 8 15 26 40 56 69 75 76 77 75 71 73 100 163 254 353 514 817 1256 1567 1630 1496 1281 1094 1007 1058 1186 1084 1197 1677 2184 2461 2680 2883 2884 2605 2103 1537 1124 1087
7 7 6 6 6 6 7 8 10 12 14 17 19 21 24 26 28 28 29 31 32 31 32 32 34 34 31 31 37 43 45 48 53 55 54 54 54 55 55 54 53 53 54 52 50 47 45 45 43 38 36 32 28 25 19 13 9 6 4 4 5 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 2 4 7 14 21 30 43 57 68 72 76 78 74 69 70 92 143 219 298 483 821 1169 1385 1405 1266 1087 1011 1040 1076 1063 1104 1324 1767 2202 2506 2778 2876 2704 2292 1752 1301 1117
4 4 4 5 6 8 9 10 11 12 14 17 18 19 21 23 24 26 26 27 30 32 32 32 34 35 29 30 35 39 42 45 48 50 50 50 52 56 53 51 50 49 50 50 49 47 45 44 42 35 35 34 32 28 23 15 9 5 4 4 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 1 2 4 4 7 12 18 23 30 42 57 66 73 79 79 75 70 71 85 126 158 247 459 769 1080 1224 1180 1069 1020 1013 1041 1080 1065 1153 1411 1681 1968 2348 2700 2680 2362 1900 1478 1215
1 1 2 2 4 7 10 12 13 13 14 16 17 18 19 20 21 22 23 24 24 26 28 28 28 27 28 30 33 35 37 41 43 43 43 44 47 50 49 48 47 48 48 49 48 46 44 42 40 36 34 32 32 29 25 18 10 6 4 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 2 4 5 5 6 8 14 18 22 31 44 57 66 73 78 81 78 71 69 79 88 121 218 426 759 973 1031 1013 995 994 1022 1061 1066 1099 1214 1321 1450 1688 2181 2438 2327 1975 1615 1336
0 1 2 1 2 4 8 12 14 13 14 15 17 18 18 18 18 18 19 21 23 23 24 26 26 26 26 28 29 32 35 37 38 38 37 38 40 42 44 45 45 46 46 46 44 42 41 40 38 36 35 33 31 29 26 21 14 9 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 0 0 0 0 2 5 7 7 6 5 6 10 14 17 23 33 45 59 71 78 82 81 78 73 69 66 69 102 207 453 671 822 903 921 931 971 1012 1044 1091 1158 1184 1205 1424 1845 2215 2267 2009 1704 1515
0 0 0 0 1 2 5 10 13 13 13 15 16 17 18 18 18 18 18 19 20 21 23 25 26 25 25 29 27 28 32 35 35 34 34 35 36 38 40 40 40 40 40 39 37 37 36 35 35 33 33 33 30 28 26 22 17 11 5 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 1 3 8 10 10 7 6 6 7 10 13 17 22 33 50 65 75 80 82 84 79 69 65 58 52 105 237 407 591 741 836 890 924 955 1007 1061 1117 1140 1213 1373 1684 2066 2229 2031 1752 1553
0 0 0 0 1 2 4 8 12 13 13 13 14 16 16 17 17 17 18 18 18 19 21 25 26 25 25 29 25 23 26 31 33 32 31 30 31 34 37 38 36 35 34 33 31 29 29 30 31 30 29 29 28 27 24 21 17 11 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 2 6 11 13 12 10 8 7 7 8 9 11 14 22 40 57 70 78 83 87 85 72 64 56 46 57 113 226 385 561 722 841 889 897 949 984 1040 1090 1138 1234 1502 1926 2185 2044 1760 1550
0 0 0 0 0 1 3 5 9 13 14 12 12 13 14 15 15 16 16 16 17 17 19 23 24 24 24 25 24 22 22 24 26 28 29 28 29 30 32 33 34 33 31 28 26 24 23 23 23 23 23 23 24 23 22 20 17 11 7 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 5 12 17 17 15 13 10 7 6 6 8 8 10 18 30 46 64 76 81 86 86 77 65 57 51 43 57 115 226 385 574 752 832 831 869 908 956 1016 1065 1108 1294 1728 2081 2120 1792 1572
0 0 0 0 0 0 2 4 7 11 14 12 11 12 12 12 12 13 13 14 15 14 18 21 23 23 23 23 22 21 20 20 20 22 24 26 28 28 29 29 30 29 28 25 21 18 17 17 17 18 18 18 19 20 19 17 14 13 8 4 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 2 8 17 22 22 18 14 11 9 7 5 6 7 9 13 20 34 54 70 78 82 82 79 69 58 53 46 43 60 110 210 393 621 715 758 796 844 877 922 1003 1078 1243 1637 2142 2302 1979 1642
0 0 0 0 0 0 0 3 6 9 11 10 10 10 10 11 11 12 12 12 13 13 14 19 21 22 21 20 19 19 18 18 18 19 19 19 21 24 26 26 26 25 24 21 17 14 12 11 10 10 10 11 13 14 13 13 11 10 7 4 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 4 11 18 23 24 21 17 12 11 8 6 6 6 8 10 14 23 40 60 75 83 77 76 71 62 53 48 43 39 48 82 222 433 597 696 749 790 819 844 921 1052 1275 1642 2183 2397 2201 1829
0 0 0 0 0 0 0 2 5 8 9 8 8 8 8 9 9 10 10 11 12 12 12 16 19 21 19 17 16 16 16 16 16 16 16 16 17 18 19 20 19 18 18 17 14 10 8 7 6 6 6 5 6 7 8 9 8 8 5 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 5 13 19 22 22 22 21 16 13 11 8 6 6 8 9 11 17 30 49 69 81 76 72 68 60 52 47 45 37 34 39 107 248 443 612 709 759 796 795 802 952 1216 1487 1904 2237 2311 2081
0 0 0 0 0 0 0 2 4 7 7 8 7 7 7 8 8 8 9 9 10 11 11 14 17 20 18 15 14 15 15 15 15 15 15 15 15 14 13 12 10 10 10 11 10 7 6 4 3 3 3 3 3 3 4 5 5 6 5 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 2 7 13 17 19 20 21 23 20 17 15 11 9 9 9 9 10 13 20 38 54 68 71 70 67 62 53 44 44 39 36 35 53 120 283 482 627 719 783 790 704 894 1143 1345 1583 1906 2258 2360
0 0 0 0 0 0 0 1 2 5 5 6 7 7 7 7 7 8 8 8 8 9 9 14 16 18 18 16 14 14 14 14 14 14 14 14 13 12 10 8 7 5 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 4 4 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 5 9 14 17 19 20 19 20 21 21 19 15 13 11 10 10 12 11 13 24 39 53 63 67 67 62 56 47 43 41 40 38 37 65 167 339 516 647 724 756 691 802 1028 1228 1341 1475 1910 2257
0 0 0 0 0 0 0 1 2 4 3 4 5 6 7 7 7 7 7 7 7 8 8 12 14 15 15 15 14 14 13 13 13 13 12 12 10 9 7 6 3 2 1 1 0 1 1 0 1 1 2 2 2 2 2 2 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 1 3 6 10 15 19 21 20 18 18 17 21 22 18 15 13 13 13 13 13 13 18 27 39 53 63 65 63 62 55 47 42 41 41 40 50 96 212 406 550 638 709 720 742 858 1049 1159 1159 1426 1852
0 0 0 0 0 0 0 1 2 3 3 3 3 4 5 5 4 4 6 7 7 7 9 11 12 12 11 11 11 13 12 11 11 10 10 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 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 1 2 5 8 13 18 21 21 21 18 18 18 20 21 19 16 15 15 17 17 16 15 16 20 29 40 54 62 67 68 65 57 47 42 42 43 45 58 114 284 433 551 655 725 738 747 894 1028 1066 1216 1574
0 0 0 0 0 0 0 0 0 1 3 3 3 3 3 3 3 3 4 5 5 6 8 10 10 10 9 9 10 11 10 9 9 9 9 8 6 4 3 1 0 0 0 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 0 0 0 0 0 0 0 0 1 3 4 7 10 15 19 21 18 19 19 18 19 20 21 20 18 18 17 18 18 17 16 16 18 25 30 40 51 62 71 74 70 59 49 45 44 45 45 75 178 310 448 582 690 746 742 828 943 1042 1099 1178
0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 3 4 6 7 8 8 8 8 8 9 8 8 8 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 14 18 21 21 19 20 19 19 18 20 21 21 20 18 18 18 19 18 17 16 17 20 23 28 35 48 61 71 74 67 56 46 42 45 48 66 118 212 347 509 643 707 725 771 881 992 1029 1035
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 4 5 6 5 5 7 6 7 7 7 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 12 16 19 21 22 22 21 21 20 20 19 20 21 22 20 18 18 19 19 18 18 17 16 17 19 22 25 34 45 57 67 69 63 53 46 47 52 60 86 148 263 432 584 663 686 719 813 919 978 1009
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 5 5 6 6 6 5 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 0 0 1 3 7 13 18 21 24 24 24 24 23 22 21 21 20 21 21 22 22 22 22 20 19 18 18 18 17 16 14 16 19 25 33 45 59 65 67 62 55 52 54 58 70 110 193 336 503 621 652 673 747 854 939 971
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 3 3 5 6 6 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 16 22 25 27 28 28 26 25 26 27 24 22 22 23 24 25 25 24 22 20 18 18 18 18 16 14 14 18 23 28 34 49 56 61 63 63 61 59 60 67 90 148 252 423 563 624 650 700 790 900 941
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 2 3 4 5 5 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 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 12 18 25 29 31 33 33 30 27 27 28 27 24 24 25 26 27 27 25 24 22 23 21 21 20 18 16 14 16 21 27 29 39 48 56 63 67 66 64 63 67 84 121 200 345 491 584 632 667 733 838 907
0 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 1 1 2 3 3 3 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 2 3 6 13 20 26 30 34 36 35 33 30 30 30 28 25 25 26 27 28 28 26 25 25 30 28 25 23 21 19 15 13 16 23 28 32 39 49 59 66 70 70 67 67 82 110 166 263 393 525 603 641 712 799 882
0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 21 27 32 38 40 38 35 34 33 29 28 26 27 28 29 29 29 29 28 28 31 31 28 25 24 24 18 15 16 21 24 26 31 41 52 63 72 73 69 69 81 104 142 204 298 454 542 603 683 774 856
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 17 21 29 36 42 44 41 37 38 37 33 30 29 30 31 30 29 31 32 30 30 30 29 28 27 26 26 23 19 16 18 19 21 25 34 48 62 71 72 69 72 83 103 128 162 230 360 453 531 626 740 833
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 22 28 36 42 46 47 41 41 39 36 32 31 32 32 32 31 30 31 31 31 30 28 29 29 27 25 25 21 17 15 16 17 21 28 39 53 64 68 69 73 83 100 125 151 203 280 363 443 546 683 792
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 14 20 27 34 41 46 51 49 46 42 38 35 33 33 33 34 32 31 31 31 31 30 30 29 29 28 26 25 23 19 16 15 16 17 23 32 47 61 67 68 73 84 102 133 161 190 226 284 362 463 608 741
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 18 25 32 39 46 50 51 50 47 43 40 39 35 34 35 35 33 32 31 33 33 31 32 30 28 27 26 24 21 18 17 18 17 20 29 44 61 71 70 74 86 110 145 177 196 208 235 293 384 530 683
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