Vorticity
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nan 6 7 7 8 10 11 10 7 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 7 7 6 7 7 8 7 7 6 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 10 8 7 7 7 8 8 8 8 8 8 8 7 5 4 4 3 2 3 3 4 5 6 7 8 9 9 9 8 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 nan
nan 6 6 7 8 10 11 9 6 4 4 5 6 7 7 7 7 7 8 8 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 10 11 11 11 10 9 7 5 5 5 4 3 2 2 3 4 5 7 9 12 12 11 9 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 8 8 7 nan
nan 7 7 7 8 9 9 8 6 4 4 5 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 10 11 11 10 9 8 7 7 7 6 5 4 4 5 5 4 4 7 10 12 12 12 13 13 14 14 13 11 10 9 8 7 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 nan
nan 8 8 8 8 8 9 7 5 4 5 6 6 7 7 7 7 8 8 8 7 6 6 7 7 7 6 6 6 7 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 6 6 7 8 8 7 8 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 11 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 5 3 3 4 5 8 11 14 17 19 20 19 17 14 11 9 8 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 7 nan
nan 9 10 9 8 9 9 6 3 3 5 6 7 7 7 7 7 8 8 8 7 6 5 5 6 6 5 4 4 4 5 6 7 6 5 5 5 6 6 6 6 6 6 7 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 12 12 11 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 5 5 4 3 3 4 8 12 15 18 19 18 17 14 12 10 8 7 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 nan
nan 9 11 10 9 9 9 6 2 3 5 6 7 7 7 7 7 7 8 8 8 7 5 4 5 5 5 4 3 3 3 4 6 6 5 5 5 6 7 7 6 6 7 8 8 9 10 10 9 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 12 12 12 11 10 10 10 9 9 9 9 8 8 8 8 9 8 6 6 6 6 5 4 5 7 9 10 11 12 12 13 13 13 12 10 8 8 7 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 5 nan
nan 9 11 11 10 9 8 5 3 3 4 6 6 7 7 7 7 6 7 8 10 10 7 5 5 5 5 5 5 5 4 3 5 6 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 10 10 10 9 9 9 8 7 5 5 5 6 6 6 6 7 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 11 10 9 8 8 9 10 10 9 7 6 7 7 7 6 6 6 7 7 7 7 8 10 14 16 15 13 11 9 8 8 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 2 3 3 4 4 nan
nan 8 11 12 11 9 7 5 3 3 4 6 7 6 6 7 7 6 6 7 10 11 9 8 7 6 6 7 8 8 7 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 11 11 11 10 9 8 7 7 6 5 5 4 5 5 6 8 9 9 10 9 9 8 8 8 8 9 9 9 9 10 11 11 10 9 9 9 10 10 8 7 7 7 7 7 7 6 6 6 7 6 6 7 10 14 17 17 16 15 13 11 9 9 8 8 7 7 7 7 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 4 nan
nan 9 11 13 11 9 8 7 5 3 5 7 7 6 6 7 7 6 5 6 7 9 9 9 8 7 7 7 8 10 10 8 6 5 5 6 8 8 8 9 8 7 7 6 7 7 8 8 9 9 10 10 10 11 11 11 11 11 10 8 7 6 6 6 6 7 8 9 9 9 9 8 7 8 8 8 8 8 8 9 10 11 11 11 11 10 9 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 9 11 13 15 17 18 17 14 12 11 10 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 5 4 4 4 3 3 nan
nan 8 11 12 11 9 9 9 6 4 5 7 8 7 7 8 8 7 6 6 6 6 7 7 7 7 7 6 7 9 11 10 9 6 4 5 7 8 8 9 9 9 8 7 7 7 8 8 8 9 9 9 9 10 11 12 13 13 12 12 11 9 8 6 5 4 6 8 9 9 8 7 7 8 8 8 8 8 7 7 8 9 11 12 12 11 8 6 5 6 7 7 7 7 8 8 8 8 7 6 6 6 6 7 9 11 14 17 18 17 16 15 14 14 14 13 12 12 11 10 9 9 9 8 8 8 8 8 7 6 6 5 4 4 nan
nan 7 9 10 10 10 10 10 7 4 5 7 9 8 8 9 9 8 7 7 6 5 6 6 6 5 5 5 5 7 9 11 11 9 7 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 10 11 12 13 13 13 13 12 10 8 5 4 5 7 8 8 7 7 7 7 7 8 8 8 6 5 5 6 8 10 11 10 9 7 6 7 7 7 7 8 9 10 10 8 6 4 4 4 4 4 4 6 8 11 14 17 18 20 20 21 22 21 19 15 13 12 11 10 10 9 9 8 9 8 8 8 7 6 6 5 nan
nan 4 6 7 8 9 11 11 8 4 4 6 9 9 9 9 9 9 8 7 7 6 6 6 6 5 5 4 4 5 8 10 11 10 9 8 8 8 8 8 9 8 7 6 6 6 6 6 7 8 8 9 9 10 11 11 12 12 13 13 13 13 12 10 8 7 7 7 8 8 8 7 7 7 7 8 9 8 7 5 4 4 6 7 8 9 9 9 9 9 8 8 8 8 9 10 9 7 4 3 3 3 3 2 1 2 4 7 10 13 17 20 22 23 24 24 21 16 14 12 11 10 10 9 8 8 8 8 8 8 8 8 7 6 nan
nan 3 3 4 7 9 11 10 8 5 3 5 8 10 10 10 9 8 8 8 7 7 7 7 6 6 5 4 3 4 6 8 9 9 9 8 8 8 8 8 8 7 6 5 5 5 5 6 6 7 8 8 10 11 12 12 12 12 12 12 13 13 13 13 12 10 8 7 8 8 8 8 7 8 8 8 9 8 7 6 5 5 5 6 7 8 9 10 11 11 10 9 9 8 8 7 6 4 4 4 4 4 3 2 2 3 5 6 8 9 11 13 15 16 15 14 12 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 nan
nan 3 1 2 6 8 10 11 10 6 3 3 6 9 11 11 10 9 8 8 8 8 8 7 7 6 5 3 2 3 4 5 7 8 8 8 8 8 8 8 9 7 5 4 4 4 5 6 6 7 7 7 8 10 11 12 12 12 12 13 13 14 14 15 15 13 10 7 6 7 7 7 8 8 8 8 7 7 7 7 6 5 5 5 6 7 9 10 11 12 12 11 11 10 9 6 5 5 6 6 6 5 4 4 4 5 6 6 6 7 7 7 8 8 6 3 2 5 7 7 8 8 8 9 9 9 9 8 9 9 10 10 10 9 nan
nan 3 1 1 4 6 9 11 11 9 5 2 4 8 10 12 12 11 10 9 8 8 7 8 7 7 6 4 2 2 2 3 5 6 7 8 9 9 9 9 10 9 7 5 4 4 5 6 7 7 7 6 6 7 8 9 10 11 13 14 14 14 15 16 15 14 11 7 4 4 4 5 7 8 8 6 6 6 8 8 7 6 5 5 6 7 8 8 9 10 11 12 12 11 10 7 6 7 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 5 3 1 1 4 7 8 8 9 9 10 10 10 10 9 9 9 10 10 11 10 nan
nan 5 3 2 3 4 7 10 12 11 7 3 3 5 8 10 12 13 12 11 9 8 8 8 8 8 7 6 4 3 2 2 3 5 6 8 9 10 10 10 11 10 9 7 5 5 6 7 7 7 7 6 6 6 7 8 9 10 12 13 13 13 13 13 12 11 10 7 5 3 2 2 4 5 6 7 7 7 8 9 8 7 6 7 7 8 8 8 8 9 9 10 9 8 8 7 7 8 8 7 7 7 7 7 6 5 4 3 4 6 7 7 6 4 3 3 7 10 13 13 12 11 11 12 12 12 11 10 9 9 9 10 10 10 nan
nan 6 4 3 3 4 6 9 10 10 8 4 2 3 5 8 10 13 13 12 10 9 9 8 8 8 8 7 6 5 4 3 2 3 5 6 8 9 10 10 11 11 10 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 9 8 8 8 9 9 8 6 5 4 3 3 5 7 8 7 6 6 7 8 8 9 9 9 9 8 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 7 6 4 2 3 5 6 6 6 6 7 11 17 20 21 20 17 15 14 14 13 13 12 11 10 9 9 9 9 10 nan
nan 6 4 3 3 5 6 8 9 9 8 5 2 2 4 7 9 11 13 13 12 11 10 10 10 9 9 7 6 6 6 4 2 2 3 5 7 7 8 9 10 11 11 9 7 5 5 5 5 5 6 6 6 7 6 6 6 6 5 6 6 6 6 7 7 8 9 10 11 11 10 8 7 6 6 7 7 6 4 5 7 9 10 10 9 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 4 3 4 5 5 6 8 13 19 24 25 23 23 22 21 18 15 13 13 12 10 9 8 7 7 8 8 nan
nan 6 4 3 4 5 6 7 8 8 8 6 3 2 4 6 8 10 12 12 12 10 9 9 10 11 10 8 7 7 7 6 3 1 2 4 6 6 7 7 9 10 11 11 8 6 5 5 5 4 4 5 6 6 6 5 5 4 4 4 4 5 7 8 9 10 10 10 11 12 12 12 11 9 8 7 6 6 5 6 8 9 9 7 6 7 6 5 5 6 8 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 6 5 4 5 6 7 9 13 17 19 19 19 20 22 22 19 15 12 11 10 9 7 6 6 6 6 7 nan
nan 7 6 5 5 6 6 6 7 7 7 6 5 4 5 6 7 9 10 12 12 10 8 7 9 10 10 9 8 9 10 9 5 1 0 2 5 6 7 7 8 9 11 12 10 8 7 6 4 3 2 3 5 5 5 5 4 4 4 4 5 7 9 10 11 10 10 9 10 11 12 12 11 9 8 6 6 6 7 8 7 6 4 3 3 4 4 5 6 7 8 9 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 6 6 8 9 9 9 10 10 11 13 14 16 17 17 13 10 8 8 7 6 5 5 5 6 7 nan
nan 7 7 6 6 6 6 6 6 5 4 5 6 6 6 7 7 8 10 12 12 11 9 7 7 8 9 8 8 10 12 13 10 5 1 1 3 5 6 7 8 8 10 10 10 10 9 9 7 4 3 3 4 4 4 4 4 5 5 6 7 9 10 10 10 9 9 9 10 10 10 11 11 9 7 6 5 7 9 9 7 5 3 2 2 1 2 4 5 5 5 6 8 9 10 11 13 12 11 10 10 10 9 9 9 9 8 8 8 9 9 9 10 9 8 6 6 6 6 6 6 8 8 7 6 5 5 5 5 5 5 5 6 7 nan
nan 8 8 7 7 6 6 6 6 5 2 2 4 6 7 7 7 8 9 11 11 11 11 9 7 7 7 7 7 8 11 14 13 10 7 4 3 4 5 6 7 7 8 9 9 9 10 11 11 8 5 4 4 3 3 3 4 4 5 6 8 10 10 9 8 8 9 10 10 10 10 11 11 11 9 8 7 8 9 9 9 8 7 7 5 4 4 4 3 3 3 5 6 8 10 12 13 13 12 11 11 11 10 10 9 9 9 9 10 12 11 11 10 9 9 8 6 3 -1 -3 -4 -4 -4 -0 3 4 5 5 5 6 6 7 7 8 nan
nan 8 8 8 7 7 6 6 6 5 2 1 2 5 7 8 7 7 8 8 9 10 12 12 9 8 7 8 7 7 8 10 12 12 11 9 5 5 6 6 6 6 7 8 8 9 10 11 12 10 7 5 4 3 2 2 2 2 3 4 5 6 6 7 7 8 8 9 10 10 10 10 11 12 12 11 11 10 10 11 12 12 12 12 11 10 10 9 6 5 5 5 5 7 9 11 11 11 11 11 11 12 11 11 10 9 9 10 12 13 12 10 9 9 10 9 6 2 -2 -4 -6 -6 -5 -1 3 5 6 7 7 8 8 8 8 8 nan
nan 8 8 8 8 7 7 6 7 6 4 1 0 2 6 9 10 9 8 6 5 7 11 12 11 9 8 7 7 6 6 7 8 10 12 10 6 6 7 8 7 6 7 8 8 8 9 10 11 11 9 8 7 6 4 3 3 2 1 1 -0 -0 1 3 5 6 7 8 9 9 9 10 10 11 12 13 13 12 12 12 13 13 15 15 14 14 13 12 11 10 8 6 5 5 7 8 8 9 10 11 12 12 13 12 11 9 9 11 11 11 9 7 6 6 7 7 6 5 6 7 6 4 5 6 7 8 8 9 9 9 9 9 9 9 nan
nan 8 8 8 8 7 7 7 7 7 6 4 1 1 5 9 12 11 9 6 3 5 8 10 10 10 8 7 7 7 6 5 6 9 12 11 6 5 7 8 8 7 7 7 7 8 8 8 10 12 12 12 11 11 10 9 8 7 6 3 1 -1 -1 1 3 5 6 6 7 7 8 9 9 9 10 12 13 14 13 12 11 12 13 13 13 13 12 12 13 14 12 9 6 5 5 6 7 9 10 11 11 12 12 12 11 11 11 11 9 7 5 5 6 6 5 5 7 10 14 17 17 14 12 10 10 9 9 10 10 9 9 9 9 8 nan
nan 9 8 8 8 8 8 7 7 7 7 5 2 2 5 9 12 13 10 6 4 4 5 7 8 9 9 8 8 7 6 5 5 8 12 12 9 6 5 6 7 8 7 7 7 7 7 7 8 9 10 11 12 12 12 13 13 12 11 10 8 6 4 3 3 4 5 5 6 6 6 7 8 9 9 11 12 13 12 11 10 10 10 11 10 11 11 12 14 14 13 12 10 9 8 8 8 9 10 10 9 9 10 10 11 11 11 9 7 6 6 8 10 10 9 10 11 12 14 16 16 13 10 9 9 9 9 9 9 9 9 8 8 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
34 33 30 28 27 30 30 33 36 39 43 46 49 53 57 60 58 57 53 50 48 49 51 54 56 55 51 45 39 33 29 26 24 22 20 19 21 22 22 18 16 14 14 15 16 15 14 13 12 10 9 6 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 1 11 29 39 43 55 68 72 76 79 80 82 82 81 81 82 83 84 87 90 97 102 108 112 120 128 131 127 124 118 115 112 109 107 104 101 99 99 99 97 96 93 89 85 77 71 66 62 60 60 61 63 63 56
34 33 31 29 28 30 28 29 31 34 37 40 44 47 51 52 49 49 48 47 48 51 54 56 55 51 44 39 35 32 30 25 22 21 20 20 21 22 20 17 15 14 14 15 15 15 14 13 12 10 8 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 3 16 32 39 45 58 69 75 84 87 88 88 88 87 87 86 85 86 90 96 103 109 112 112 117 125 127 121 120 119 117 107 103 102 101 99 98 98 100 101 97 94 92 89 83 77 72 69 66 63 63 64 64 58
31 30 31 31 31 29 28 28 29 30 32 35 39 41 43 44 45 45 47 49 52 54 55 53 48 42 36 34 34 32 29 24 21 20 20 21 20 19 19 17 16 16 15 15 16 15 13 12 12 10 7 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 5 19 35 43 50 63 70 82 90 95 95 94 92 89 88 87 84 86 92 101 111 116 118 118 121 131 135 125 116 113 106 99 97 95 94 94 95 96 97 99 97 94 93 92 91 87 83 78 75 72 71 69 67 63
28 29 30 31 32 31 29 30 30 30 32 35 37 38 39 41 44 46 47 50 51 49 46 44 43 41 39 34 31 29 27 24 21 19 18 18 17 17 19 17 15 16 16 16 17 16 13 12 11 9 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 0 6 20 37 44 56 64 74 85 95 99 97 94 93 88 86 84 83 89 98 109 121 128 130 129 129 138 141 123 119 117 111 104 98 95 92 92 93 94 95 97 98 96 96 98 100 100 96 91 84 84 82 80 76 71
26 28 28 29 31 32 32 32 32 33 35 37 37 38 39 40 43 45 45 45 43 40 35 36 40 41 38 31 27 26 26 22 18 17 17 18 17 15 15 15 14 14 16 16 16 15 13 11 10 8 6 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 8 27 42 47 57 65 77 89 98 101 96 90 87 84 82 82 85 94 106 119 130 138 143 140 136 145 141 130 130 131 126 116 106 102 97 94 93 94 93 93 93 94 96 99 100 100 104 103 102 100 96 93 91 88
25 26 26 27 28 30 29 30 30 31 33 34 36 36 35 36 38 37 37 36 34 33 34 35 37 38 34 30 27 25 22 18 15 13 13 13 11 12 12 12 13 13 14 15 15 14 13 11 10 8 6 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 2 14 31 42 51 58 65 78 92 100 102 97 93 92 86 83 83 85 95 111 127 140 145 143 139 139 151 151 149 148 145 144 137 118 111 107 101 98 98 96 91 89 90 92 94 96 96 101 105 110 111 108 105 103 101
23 23 23 22 24 24 25 25 25 25 26 28 29 30 30 29 30 30 30 30 30 32 33 34 33 31 30 28 25 22 19 15 12 11 10 10 10 10 11 11 11 12 12 13 12 12 12 11 9 7 6 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 4 20 33 43 52 58 66 81 95 102 102 96 93 89 86 83 85 89 100 117 135 145 148 139 140 146 153 157 155 151 150 145 140 126 116 110 104 102 101 99 95 92 91 91 93 95 98 98 101 106 109 111 111 111 111
20 20 21 20 21 21 21 21 21 22 22 23 24 26 26 26 27 28 29 29 29 29 28 28 28 29 27 23 20 18 15 12 9 8 8 6 8 6 8 9 10 10 10 11 11 11 11 9 9 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 1 8 22 35 45 52 57 67 83 95 101 100 95 90 83 81 84 88 94 105 121 137 144 144 141 144 146 149 154 155 152 151 145 141 129 117 110 105 102 102 100 97 96 96 96 96 97 100 103 105 104 104 107 109 112 115
18 20 22 21 21 21 21 21 20 21 22 23 24 24 25 26 27 28 28 27 26 27 24 24 25 25 21 18 16 14 12 9 6 5 6 4 5 4 5 7 8 8 8 9 9 9 9 8 8 5 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 1 9 21 31 43 52 60 71 85 96 101 99 95 89 84 83 85 87 92 102 121 135 138 140 143 145 144 148 158 161 157 151 146 137 125 117 111 106 104 103 101 99 99 98 98 97 97 99 103 106 106 104 103 106 109 114
18 19 20 21 20 20 21 21 21 21 22 22 23 23 25 26 26 25 24 23 23 24 24 22 21 20 19 17 14 12 9 6 3 2 3 1 2 2 2 3 4 5 6 7 7 7 7 7 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 1 9 20 30 41 52 60 72 86 97 100 97 96 92 86 82 83 85 90 101 118 129 134 137 140 139 141 152 166 170 162 157 152 144 133 122 114 109 106 104 102 99 98 99 98 96 96 98 103 106 107 105 104 105 106 108
18 18 19 21 21 20 21 21 21 20 19 18 20 21 22 22 21 21 21 22 21 21 20 18 17 17 16 15 12 9 6 4 4 1 0 0 1 1 1 1 1 2 3 4 4 5 5 4 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 1 10 21 32 42 52 61 70 81 95 98 96 97 96 92 89 89 87 88 98 111 122 129 133 135 136 142 153 167 174 166 162 162 156 144 131 121 114 111 106 105 103 102 100 98 95 95 98 101 104 105 106 107 107 106 105
16 16 17 18 19 19 19 19 18 18 17 18 18 18 18 19 20 21 20 21 19 18 16 16 14 14 13 11 9 7 4 3 2 0 0 0 0 0 0 0 1 1 1 2 2 3 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 3 10 22 33 44 54 62 70 80 91 95 97 97 98 96 93 91 86 86 90 102 115 124 126 124 126 135 148 158 167 167 166 164 158 148 137 128 120 115 111 110 109 108 104 100 98 99 102 101 100 102 104 106 107 107 106
14 15 15 16 16 17 16 15 16 16 16 17 17 18 19 19 19 18 17 17 16 15 15 14 12 11 10 8 6 4 3 1 0 0 0 0 0 0 0 0 0 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 0 3 11 21 31 43 54 62 70 78 87 94 96 96 94 92 88 83 84 82 84 93 104 113 114 111 113 122 136 147 161 169 168 162 155 147 137 130 122 117 113 111 110 109 107 105 105 107 110 104 100 99 100 102 104 104 105
9 12 16 16 16 16 16 15 14 14 15 15 15 17 17 17 17 16 16 15 14 13 12 11 10 9 8 6 5 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 1 4 12 21 30 39 52 62 67 76 84 91 94 93 90 88 87 84 82 80 82 87 94 101 106 107 106 109 123 141 159 170 169 160 155 148 139 135 128 123 118 112 108 109 108 108 108 107 108 106 101 98 98 99 100 99 100
5 8 12 14 14 15 15 14 12 12 12 11 12 13 14 13 12 13 14 13 11 11 10 8 8 7 6 5 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 0 0 0 0 0 0 0 0 0 1 5 12 20 30 38 47 59 66 74 82 86 89 89 90 87 83 80 79 79 80 81 83 87 98 110 105 105 113 130 149 163 167 161 157 152 149 143 134 124 114 109 110 109 109 111 110 109 108 107 104 100 99 100 100 98 97
2 4 7 9 10 11 12 11 9 10 10 9 9 9 10 10 10 10 10 10 8 8 8 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 28 36 42 53 66 76 81 82 83 85 88 84 80 77 76 76 75 74 75 75 83 99 106 107 109 119 139 157 166 166 160 154 152 146 135 126 124 127 122 118 115 116 115 111 108 107 107 105 105 104 101 99 97
1 1 2 3 6 9 9 9 9 9 8 8 8 8 9 9 9 7 7 7 7 7 6 6 5 4 3 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 0 0 0 0 0 0 1 4 10 17 26 36 42 50 61 73 79 79 79 80 81 80 77 75 74 73 71 70 71 69 72 84 100 109 110 116 135 152 164 167 164 156 153 147 137 129 123 119 127 127 123 120 120 119 119 118 113 111 110 107 102 97 94
0 0 0 1 3 6 7 7 7 6 5 5 5 5 6 5 5 5 4 4 4 5 4 4 3 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 0 0 0 0 0 0 0 4 11 16 25 34 43 49 55 65 77 76 75 74 74 74 74 74 74 73 71 68 67 66 67 74 91 106 111 115 130 149 159 163 163 156 149 144 140 134 128 133 141 136 130 126 127 128 126 124 119 115 110 107 104 100 96
0 1 1 1 3 4 5 4 4 4 3 3 3 2 3 3 3 4 4 2 2 2 1 1 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 0 0 0 0 2 12 16 21 30 40 45 46 56 73 73 71 70 71 70 71 72 73 73 71 68 65 63 62 67 82 100 108 112 126 148 160 164 161 153 145 141 139 137 141 152 155 151 146 142 141 142 139 134 129 123 115 111 108 104 100
1 1 2 2 2 3 3 3 4 3 2 1 1 1 1 1 2 1 1 1 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 0 0 0 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 10 14 18 23 30 33 38 49 64 68 67 69 70 68 68 71 72 74 73 69 63 59 60 65 77 93 104 105 123 146 159 160 153 144 137 138 141 147 153 161 166 167 163 158 156 155 151 145 142 136 131 125 120 113 105
0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 15 19 27 30 35 44 54 61 64 68 70 66 64 68 73 75 75 71 64 59 58 63 72 86 100 100 116 138 154 158 151 139 135 142 154 164 169 173 177 178 174 169 164 159 156 154 149 144 139 136 133 125 118
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 11 15 24 29 34 41 48 55 61 64 64 60 60 65 73 77 77 73 65 60 60 61 66 80 93 96 106 124 146 159 146 136 142 153 165 174 180 186 188 185 179 170 162 154 152 150 146 140 136 135 137 131 127
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 9 13 22 27 30 38 44 50 56 62 64 60 60 64 72 79 80 76 68 63 63 62 66 76 86 93 97 108 133 159 154 147 151 161 168 174 183 193 196 191 180 164 149 142 141 137 134 131 131 131 131 129 127
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 19 24 27 34 41 46 53 60 61 58 60 64 70 78 83 79 69 65 65 65 67 73 81 88 93 97 116 143 151 148 152 161 167 173 183 195 202 196 182 163 148 142 140 139 140 130 131 132 132 131 129
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 18 20 24 31 37 43 50 57 58 60 61 63 69 76 83 81 69 67 67 69 70 73 76 81 85 89 102 124 145 148 149 155 163 172 181 194 202 199 190 173 158 150 148 143 145 138 134 133 136 138 137
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 22 28 35 42 47 52 56 59 61 64 67 73 79 78 69 67 68 71 72 72 71 73 76 81 90 106 129 142 145 149 156 163 170 183 196 205 201 184 165 156 151 144 143 140 137 136 138 141 144
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 26 33 41 45 51 56 59 61 63 66 70 74 72 67 68 71 73 73 70 68 67 70 74 80 91 109 127 139 145 147 153 158 167 180 193 198 189 171 159 153 147 143 143 145 146 147 147 148
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 15 20 26 32 38 43 49 54 57 60 63 64 68 70 68 67 69 72 73 72 68 65 64 65 69 73 81 94 112 131 142 143 146 152 161 172 185 195 190 175 165 159 151 146 148 153 155 155 151 145
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 19 26 31 37 41 46 51 55 58 61 63 66 67 67 66 68 70 70 68 65 62 61 62 65 68 73 83 98 122 137 142 144 147 154 165 179 192 192 181 170 162 155 151 150 151 153 154 152 146
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 19 25 31 36 40 43 47 53 56 59 61 64 64 64 66 67 68 68 66 63 60 59 59 60 63 67 74 86 107 125 137 142 146 154 164 177 190 195 187 176 168 164 156 149 145 146 149 150 151
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