Vorticity
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nan 6 7 7 8 10 11 9 6 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 7 6 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 10 10 11 10 10 11 11 10 8 7 7 7 7 8 8 8 8 8 8 7 6 5 4 3 3 3 4 4 5 6 7 8 10 10 10 9 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 6 6 7 7 nan
nan 6 6 7 8 10 11 9 6 4 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 10 9 7 6 5 5 4 3 2 3 3 5 6 7 10 12 13 12 10 8 7 8 8 9 8 8 8 7 7 6 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 7 nan
nan 7 7 7 8 9 10 8 6 4 4 5 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 10 10 11 11 9 8 7 7 7 6 5 4 4 5 5 4 5 8 11 12 13 13 13 13 14 14 13 11 10 9 7 6 5 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 7 7 8 8 7 7 6 6 nan
nan 8 8 8 8 9 9 7 4 4 5 6 6 7 7 7 7 7 8 8 6 6 6 6 7 7 6 6 6 7 7 8 8 7 7 6 6 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 7 7 8 8 8 8 8 9 9 9 9 8 9 9 11 11 11 10 9 8 8 7 7 8 9 8 8 8 8 8 7 7 7 7 7 6 3 3 4 6 8 11 14 17 19 19 19 17 13 10 8 7 6 5 4 3 3 3 3 3 3 4 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 7 6 nan
nan 9 10 9 8 8 9 6 3 3 5 6 7 7 7 7 7 7 8 8 7 6 5 5 6 6 6 5 4 5 6 7 7 6 6 5 5 6 6 6 6 6 7 7 8 9 9 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 11 11 12 11 10 8 7 7 8 8 8 8 8 8 8 7 7 8 8 7 6 5 4 3 3 5 8 12 15 18 18 18 16 13 10 8 7 6 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 6 nan
nan 9 10 10 9 9 9 6 2 3 5 6 7 7 7 7 7 7 7 8 8 7 5 5 5 5 5 4 4 3 4 5 6 6 5 5 5 6 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 9 9 9 9 9 10 11 12 11 10 10 10 9 9 9 9 9 8 8 8 8 9 8 7 6 6 6 5 4 5 7 9 10 10 11 11 11 12 11 10 9 7 7 6 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 7 nan
nan 9 10 11 10 9 8 5 3 3 5 6 7 7 7 7 7 6 7 8 9 9 7 5 5 5 5 5 5 5 4 4 5 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 7 5 5 5 6 6 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 7 7 7 7 6 6 6 6 6 7 6 6 7 9 13 15 14 12 10 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 nan
nan 8 11 12 11 9 7 5 3 3 4 6 7 7 7 7 7 6 6 7 9 10 9 7 6 6 6 6 7 8 7 5 5 6 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 11 12 11 11 10 8 7 6 6 5 5 5 5 5 7 8 9 10 10 10 9 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 10 10 9 8 7 7 7 6 6 6 5 6 6 6 5 6 10 13 16 16 15 13 12 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 nan
nan 9 11 13 11 9 8 6 4 3 5 7 8 7 7 7 7 6 5 6 7 8 9 8 8 7 7 7 8 9 10 8 6 5 5 6 8 8 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 11 11 12 12 11 10 8 7 6 6 6 7 8 8 9 10 9 9 8 7 7 7 7 7 8 8 8 9 10 11 11 11 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 9 10 12 14 15 16 15 13 12 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 7 nan
nan 9 11 12 11 9 9 8 6 4 5 7 8 7 7 8 8 7 6 6 6 6 7 7 7 7 7 6 7 9 10 10 8 6 5 6 7 8 8 9 9 9 7 7 7 8 8 8 9 10 10 9 9 10 11 13 14 14 13 12 11 10 8 7 5 5 6 8 9 9 8 8 7 7 7 7 7 7 7 7 7 9 11 12 12 11 9 6 5 6 7 7 6 6 7 8 8 7 6 5 5 6 6 7 8 11 13 16 16 16 15 14 14 14 14 14 13 12 11 10 9 9 9 8 9 9 9 9 9 8 8 8 7 7 nan
nan 7 9 10 10 9 10 10 7 4 5 7 9 8 8 9 9 8 7 7 6 5 6 6 6 6 5 5 5 7 9 11 10 9 7 7 8 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 10 12 13 13 14 14 13 12 11 8 6 5 5 7 8 8 8 7 7 7 6 7 7 7 6 5 5 6 8 10 11 10 9 7 7 6 7 7 7 7 8 9 9 7 5 4 3 3 4 4 5 6 8 11 13 15 17 19 20 21 22 20 17 13 11 10 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 5 6 7 8 9 10 10 7 5 4 6 9 9 9 9 10 9 8 7 7 6 6 6 6 5 5 4 4 5 8 9 10 10 9 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 9 9 10 11 12 12 12 13 13 13 14 13 12 11 9 8 7 7 8 8 8 7 7 6 6 7 8 7 6 5 4 5 6 8 9 9 9 9 9 9 8 7 7 8 9 9 8 5 3 3 3 3 3 3 2 3 5 8 10 13 16 19 21 23 23 21 16 11 9 8 7 7 6 7 7 7 7 6 6 6 6 7 7 7 nan
nan 3 3 5 7 9 10 10 8 5 3 5 8 10 10 10 9 9 8 7 7 7 7 7 6 6 5 4 3 4 6 8 8 9 8 8 8 8 8 8 8 7 6 6 5 5 5 6 7 7 8 9 10 12 13 13 13 12 12 13 13 14 14 14 13 11 9 7 8 8 8 7 7 7 7 7 8 8 7 6 6 6 6 6 7 8 9 10 11 11 10 9 8 8 8 7 4 3 3 4 4 4 4 3 3 5 7 8 9 10 12 14 15 15 14 10 7 5 5 5 6 6 6 7 7 7 7 6 6 6 7 7 8 9 nan
nan 3 2 3 6 9 10 10 9 6 3 3 7 10 11 11 10 9 8 8 8 7 7 7 7 6 5 3 2 3 4 6 7 7 7 7 8 8 8 9 9 8 6 5 5 5 5 6 7 7 7 8 9 10 12 12 12 12 13 13 14 14 15 16 15 13 10 7 6 6 7 7 7 8 8 7 6 7 7 7 7 6 5 5 6 8 9 10 11 12 11 11 10 9 8 6 4 4 5 6 6 5 5 4 5 7 8 8 8 8 8 8 9 8 5 0 -2 1 3 5 5 6 7 7 7 7 7 6 6 6 7 8 9 9 nan
nan 3 2 2 4 7 9 10 11 9 5 2 4 8 10 11 12 11 10 9 8 7 7 7 7 7 6 4 3 2 3 4 5 6 7 8 8 9 9 9 10 9 7 6 5 5 6 7 7 7 7 7 7 8 9 9 10 12 13 15 15 15 15 16 15 14 10 6 4 3 4 5 6 7 7 6 6 7 8 9 8 6 5 5 6 8 8 9 9 10 11 11 11 10 9 6 6 6 7 7 7 7 6 7 7 7 7 7 7 8 8 7 7 4 1 -2 -1 2 5 7 7 8 8 8 8 8 7 7 7 7 8 8 9 10 nan
nan 5 3 2 3 5 7 10 12 11 7 3 3 5 7 10 12 12 12 10 9 8 8 7 7 7 7 6 4 3 3 3 4 5 6 7 9 9 10 10 10 10 9 7 6 6 6 7 7 7 7 6 6 7 7 8 9 11 13 14 14 13 13 12 11 11 9 7 5 3 2 2 3 5 6 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 8 7 6 7 7 7 7 7 7 8 8 7 7 6 5 6 7 8 8 6 4 1 1 5 10 12 12 11 10 10 9 9 8 7 7 7 7 7 8 9 9 nan
nan 6 4 3 3 5 7 9 10 10 7 4 2 3 5 8 10 12 13 12 10 9 8 8 8 8 7 7 6 5 5 4 3 4 5 6 8 9 9 10 10 10 9 8 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 10 9 9 8 7 8 8 9 8 7 5 4 3 4 6 8 9 8 7 7 7 8 9 9 9 9 9 8 7 7 7 7 6 5 5 6 7 7 7 7 7 7 8 8 8 7 6 5 5 6 7 7 6 5 6 10 16 19 20 18 16 14 12 10 9 8 7 7 6 7 7 8 8 9 nan
nan 6 4 3 4 5 6 8 9 9 7 5 2 2 4 7 9 11 12 12 11 10 9 9 9 9 8 7 6 6 6 5 2 2 4 5 7 7 8 9 9 9 9 8 6 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 11 11 11 10 9 7 6 7 8 8 7 5 5 7 10 11 10 9 9 8 7 6 6 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 12 18 23 23 21 20 19 17 14 11 8 7 6 6 6 6 6 7 8 9 nan
nan 6 4 4 4 5 6 7 8 8 8 5 3 3 4 6 8 10 11 12 12 10 9 9 10 10 9 8 7 7 8 6 3 1 2 5 6 6 7 7 8 9 9 9 7 5 4 4 4 4 4 5 6 6 6 5 5 5 4 4 4 5 7 8 10 10 10 11 11 12 13 12 11 9 8 7 7 6 5 6 8 10 9 8 7 7 6 5 5 6 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 13 16 18 17 17 18 19 18 14 10 7 6 5 5 5 5 5 6 8 9 nan
nan 7 6 5 6 6 6 6 7 7 7 6 5 4 5 6 7 8 10 12 12 10 8 7 8 9 10 9 8 9 10 9 5 2 1 3 5 6 7 7 8 9 10 11 9 8 7 6 4 2 2 3 5 5 5 4 4 4 4 4 5 7 9 11 11 11 10 10 10 11 12 12 11 9 7 7 7 7 7 8 8 7 5 4 4 4 4 5 6 7 8 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 10 10 10 10 11 13 14 14 12 8 5 4 4 4 4 4 5 7 8 9 nan
nan 7 7 6 6 6 6 6 7 5 4 5 6 6 6 7 7 8 10 12 12 11 8 7 7 8 8 8 8 9 12 12 9 5 2 1 3 4 6 7 8 8 10 11 11 11 10 9 7 4 2 3 4 4 4 4 4 4 4 5 7 9 10 11 10 10 9 10 10 11 11 11 11 9 7 6 6 7 9 9 8 6 4 3 3 1 2 3 5 5 6 7 8 9 10 11 12 11 10 9 9 9 9 8 8 9 9 9 9 10 11 11 10 9 8 7 6 6 5 5 5 5 4 3 3 3 3 4 4 5 6 8 9 10 nan
nan 7 7 7 7 7 6 7 7 5 2 3 4 6 7 7 7 8 10 11 11 11 10 9 8 7 7 7 7 8 11 13 13 10 7 4 3 3 5 6 7 7 8 9 10 11 12 12 11 8 5 4 4 4 4 3 3 3 4 5 7 9 10 9 9 9 9 10 11 11 10 11 11 11 10 8 7 8 9 10 9 9 8 7 5 4 4 4 3 3 4 5 7 8 10 11 12 11 10 10 10 10 9 9 9 9 9 10 11 13 13 11 11 10 9 8 6 2 -1 -4 -6 -6 -7 -3 0 3 4 5 6 6 7 8 9 10 nan
nan 7 8 7 7 7 6 7 7 5 2 1 2 5 7 8 7 7 8 8 9 10 11 11 9 8 7 7 7 7 8 10 11 12 11 9 5 4 5 6 6 6 7 7 8 9 10 12 13 10 7 5 5 4 3 2 2 2 2 3 4 5 6 6 7 7 8 10 11 11 10 11 11 12 12 12 11 11 11 11 12 12 12 11 10 9 9 8 6 5 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 9 9 10 13 14 13 11 9 9 10 9 6 2 -2 -5 -7 -8 -7 -2 2 5 6 6 7 7 7 8 9 9 nan
nan 7 8 7 7 7 6 6 7 6 4 2 1 3 6 9 10 9 8 6 5 7 11 12 11 9 8 7 7 6 6 7 8 10 12 10 6 5 6 7 7 7 7 7 7 7 8 10 12 11 9 8 7 5 4 3 3 2 2 1 0 -0 0 2 4 6 7 8 10 10 10 10 11 11 12 13 13 13 12 12 12 13 13 13 13 13 12 11 11 10 9 7 5 6 7 7 7 8 9 10 10 11 12 11 10 9 10 11 12 11 9 8 6 7 7 7 5 5 6 6 5 3 4 5 6 7 7 7 7 7 7 8 8 9 nan
nan 7 8 8 7 7 7 6 7 6 6 4 2 2 5 9 11 11 9 6 3 5 8 10 10 9 8 7 7 6 5 5 6 9 12 10 6 4 5 7 8 8 8 7 7 7 7 9 11 12 12 11 11 10 9 9 8 7 6 4 1 -1 -1 1 3 4 6 7 8 8 8 9 9 10 10 12 13 14 13 12 11 11 12 12 12 12 12 12 13 13 12 9 6 5 5 5 6 8 9 10 10 11 11 11 11 11 12 11 10 7 6 6 7 7 5 6 7 10 13 16 15 12 10 8 7 7 7 7 7 7 7 8 8 9 nan
nan 8 8 8 8 8 7 7 6 7 6 5 3 2 5 9 12 12 10 6 4 4 6 7 8 9 9 8 7 7 6 5 5 8 12 11 8 5 4 5 7 8 8 8 7 7 6 7 9 10 11 11 11 11 11 12 12 12 12 11 9 7 5 3 3 4 5 6 6 6 6 7 8 9 10 11 13 13 12 10 9 9 9 9 9 10 11 12 14 14 13 12 10 8 7 7 8 8 9 9 9 9 9 10 10 11 11 10 8 6 6 9 10 10 10 10 11 12 14 15 14 11 8 7 6 6 6 6 6 7 7 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
24 28 30 28 24 24 25 28 31 35 38 40 42 44 46 47 49 51 51 51 50 49 49 48 48 46 42 36 33 30 26 26 26 25 23 21 21 22 24 25 25 24 23 22 22 23 22 20 18 17 14 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 2 12 29 41 49 63 68 66 74 79 79 77 79 82 83 87 94 101 104 110 119 125 130 131 128 124 120 115 112 111 111 113 113 113 109 111 112 109 102 91 84 83 81 80 78 75 73 69 66 65 61 55 46 39
20 26 29 29 25 25 26 27 28 30 32 35 38 40 42 45 46 47 47 49 51 49 48 48 47 44 38 32 31 30 27 24 22 21 20 21 21 22 22 24 22 21 22 22 22 20 18 18 16 14 11 10 6 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 4 16 31 41 50 64 74 77 85 87 85 81 79 79 82 87 93 101 106 116 128 140 150 147 139 133 127 121 114 110 105 111 117 119 116 111 108 107 109 107 97 95 91 89 87 85 84 84 83 83 80 76 66 57
18 25 29 29 27 27 28 29 29 28 28 30 33 36 38 40 42 42 41 41 41 43 46 46 44 40 36 32 32 32 27 22 20 19 19 20 20 19 17 17 20 19 20 20 19 17 15 14 12 12 8 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 6 19 33 42 51 66 78 87 94 95 91 85 79 74 75 83 96 107 114 122 134 147 155 158 154 149 142 133 123 116 111 117 125 126 120 111 102 95 97 103 104 105 103 102 101 101 102 100 97 96 96 95 90 82
19 22 27 30 29 30 30 29 29 29 29 28 30 33 34 35 36 36 36 38 42 46 45 42 39 37 36 34 33 29 24 21 19 18 17 17 16 15 14 16 17 16 16 15 15 13 12 11 10 9 7 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 1 6 20 36 44 59 72 85 95 100 99 95 87 79 72 73 82 98 112 121 127 135 146 156 164 165 162 158 151 142 133 129 130 132 129 124 121 106 94 90 91 94 98 101 104 106 107 110 110 106 104 104 105 106 104
18 20 23 27 28 29 29 30 30 30 29 28 29 30 32 32 34 36 38 39 40 39 38 37 36 35 37 34 29 25 21 18 16 14 13 14 11 12 12 13 13 13 12 13 12 11 10 10 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 2 9 27 43 50 63 76 91 100 103 101 96 88 78 74 75 86 101 114 122 128 133 139 149 160 165 163 166 166 161 155 151 149 141 133 131 132 118 106 99 95 93 92 93 97 100 100 103 108 106 106 107 109 112 113
19 19 19 22 24 25 27 30 30 30 28 28 29 30 32 33 36 38 38 37 36 36 36 36 35 35 34 29 25 22 19 15 13 10 9 10 9 9 11 11 10 11 10 10 10 9 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 3 14 31 44 54 65 81 97 105 104 102 99 93 86 82 82 90 99 109 118 124 128 130 136 149 157 160 164 166 165 162 161 159 153 145 140 138 129 117 110 106 103 100 98 99 100 98 97 100 102 104 105 107 108 109
17 19 18 19 20 21 23 24 26 26 27 28 29 31 32 34 35 35 33 32 32 32 33 34 34 32 28 24 21 18 16 13 11 8 6 5 6 7 8 7 7 8 8 8 8 8 7 6 6 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 3 17 34 47 57 71 86 100 105 103 104 104 100 95 92 89 90 95 103 112 119 123 123 125 144 154 161 163 159 158 164 162 159 158 151 145 140 134 126 120 117 114 111 109 108 107 105 104 103 102 101 100 100 102 106
15 17 18 19 19 20 20 21 23 23 24 25 25 28 29 29 30 30 30 29 29 30 31 30 29 26 24 22 18 15 13 10 8 6 4 4 5 5 5 5 6 6 6 6 6 6 5 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 6 19 34 47 59 73 87 99 104 105 109 108 103 101 97 91 89 92 99 106 113 119 120 123 133 148 157 161 162 164 168 164 159 152 147 142 139 135 130 125 123 122 119 118 116 114 112 109 108 107 105 100 99 100 101
12 13 17 18 19 20 21 22 22 22 21 22 21 25 26 27 28 29 29 29 29 28 28 26 24 23 20 18 15 13 11 8 6 4 3 2 2 3 4 4 4 4 4 4 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 0 0 0 1 8 20 35 49 61 73 87 98 103 106 111 109 104 100 95 90 88 92 98 99 106 112 115 119 126 138 150 158 164 168 167 165 160 151 146 143 140 135 129 124 122 123 123 123 122 119 117 114 112 112 111 108 104 102 100
13 14 16 17 17 18 20 22 22 21 21 22 22 23 25 26 26 26 26 24 23 22 22 22 21 20 18 16 14 11 8 5 5 1 1 1 1 2 2 2 2 2 3 2 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 1 9 21 36 51 61 71 83 95 100 105 109 107 103 98 93 90 91 95 96 94 101 109 113 118 123 134 149 159 165 168 163 161 156 147 144 145 144 140 134 129 122 125 125 126 124 122 121 119 118 116 115 111 108 106 103
11 12 13 14 15 16 17 18 19 19 19 18 19 20 23 24 25 24 22 21 20 21 20 19 18 18 16 13 11 10 7 4 3 1 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 1 10 22 36 50 62 71 79 91 97 101 106 106 101 95 89 87 89 91 90 92 98 106 111 117 124 133 146 156 162 160 155 152 148 144 143 145 147 145 141 138 137 134 132 132 131 127 124 121 119 119 118 114 110 108 105
8 11 13 13 15 16 16 16 18 18 17 14 14 16 19 20 20 18 18 19 19 18 17 17 16 14 13 11 9 8 7 4 2 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 0 0 0 0 0 0 0 0 0 3 12 24 35 48 62 69 76 84 90 95 98 99 96 91 88 86 87 88 90 92 95 102 109 116 125 134 145 151 151 150 150 149 145 142 140 142 146 145 144 142 142 140 138 137 135 131 127 126 126 122 120 117 113 109 106
4 7 10 11 12 14 14 15 16 16 15 12 12 13 15 17 17 17 17 16 15 15 15 14 13 11 10 9 8 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 4 14 26 35 43 56 62 72 78 81 87 91 91 89 87 87 86 85 86 90 91 92 98 108 117 126 134 143 145 145 148 150 148 143 138 137 138 141 140 138 136 136 135 135 135 134 130 127 128 130 128 126 123 119 113 105
2 4 7 9 10 11 11 12 12 13 11 9 9 10 12 13 12 12 11 11 12 13 13 12 11 10 9 7 6 4 3 1 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 1 5 14 27 34 41 50 55 62 71 75 78 83 84 82 81 81 82 85 86 88 89 90 95 104 115 128 132 136 138 143 151 154 149 140 138 135 135 134 132 127 125 125 124 125 127 128 128 126 130 133 133 132 129 125 117 105
1 1 3 6 8 9 10 10 11 10 8 7 6 6 8 8 9 9 10 10 10 10 10 9 9 9 8 6 4 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 2 7 14 25 32 39 46 50 53 61 65 68 74 77 77 76 76 78 81 83 85 87 87 89 99 115 126 128 127 131 141 152 153 143 137 136 132 131 132 128 122 117 117 118 117 119 120 123 125 128 131 132 129 124 122 115 107
0 0 1 3 5 7 8 9 9 8 7 6 4 4 6 7 7 7 7 7 6 6 6 6 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 14 22 30 33 38 42 46 51 55 59 64 70 73 72 72 74 77 80 82 83 84 82 92 107 119 123 122 126 139 151 155 147 138 135 129 126 130 131 124 118 117 116 114 117 118 120 120 120 122 124 119 115 114 113 109
0 0 0 1 2 4 5 5 5 5 4 3 2 2 4 4 3 3 3 3 3 3 4 5 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 2 7 13 16 26 39 38 36 41 45 48 52 57 66 69 69 70 71 73 75 77 77 76 77 85 98 112 119 116 119 135 151 155 144 137 132 123 123 133 143 144 137 129 121 119 119 120 121 119 115 114 116 113 111 110 111 111
0 0 0 0 1 3 3 3 3 3 3 2 1 1 1 1 1 2 3 3 2 2 2 2 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 0 0 0 1 5 11 13 22 28 27 30 36 40 42 47 51 59 62 63 65 68 70 71 70 71 71 74 80 90 105 114 111 114 129 146 155 153 144 134 129 132 146 164 167 149 139 131 124 122 122 122 120 111 108 108 110 111 109 108 108
0 0 0 0 0 2 2 2 2 2 1 1 0 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 11 16 22 25 28 32 33 36 42 46 50 55 57 60 65 67 67 65 66 69 71 73 79 93 106 108 110 125 143 159 164 155 143 139 143 156 177 180 166 155 146 137 132 131 126 123 122 116 110 111 111 109 107 106
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 0 2 5 8 11 16 19 24 27 28 33 39 42 43 48 52 53 60 61 61 61 61 64 67 68 71 84 101 110 108 123 142 158 164 160 151 149 158 171 184 187 182 173 163 155 151 145 130 124 121 122 118 116 116 114 112 109
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 18 22 28 34 35 33 33 36 41 44 47 50 52 55 59 67 73 75 67 63 61 62 66 74 83 95 117 148 164 176 183 189 202 217 211 203 189 178 170 170 180 190 187 178 165 159 160 156 153
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