Vorticity
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nan 6 7 8 9 10 12 10 7 5 5 6 7 7 7 7 7 7 8 8 8 8 8 9 8 6 6 7 8 8 8 7 7 7 7 8 8 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 7 8 8 9 10 10 10 10 11 12 11 9 7 7 7 8 8 8 8 8 8 8 7 5 4 4 4 4 3 4 5 6 7 8 11 12 12 10 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 7 7 nan
nan 6 6 7 8 10 11 10 7 5 5 6 6 7 7 7 7 7 8 8 8 7 8 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 8 8 9 10 11 10 10 9 8 8 8 9 9 11 11 11 10 8 7 5 5 5 5 4 3 3 4 5 7 9 12 14 14 12 10 8 7 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 8 10 10 9 6 4 5 5 6 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 9 10 11 11 11 10 8 7 7 7 7 6 5 4 5 5 5 6 9 13 15 15 14 14 13 14 13 12 11 9 9 8 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 8 9 9 7 5 4 5 6 7 7 7 7 7 8 8 8 7 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 7 8 9 9 9 8 8 8 8 8 7 7 7 7 6 4 3 5 7 10 14 17 19 21 21 19 17 13 10 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 nan
nan 10 10 9 9 9 9 7 3 4 6 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 7 6 6 6 7 8 8 8 7 6 6 7 7 7 7 7 7 8 8 9 8 8 7 6 6 6 6 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 10 9 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 4 4 4 6 10 14 16 19 19 19 16 13 10 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 10 11 10 9 9 10 7 3 3 5 7 7 7 7 7 7 7 8 8 8 8 7 6 7 7 7 6 5 4 5 6 7 8 7 5 5 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 8 9 10 11 12 12 11 10 10 10 10 9 9 8 8 8 8 8 9 8 7 7 7 6 6 5 5 7 9 10 11 12 12 12 12 11 10 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan 9 11 11 11 9 8 6 3 3 5 6 7 7 7 8 7 7 7 8 10 11 8 7 7 7 7 6 6 5 5 5 6 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 6 5 6 6 6 6 6 7 8 8 9 9 8 8 8 9 10 11 11 11 10 10 10 11 10 9 8 8 8 9 10 9 8 8 7 7 7 6 6 6 6 7 7 7 8 10 13 14 13 11 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 nan
nan 9 11 12 11 9 7 5 3 3 5 7 7 7 7 8 7 6 6 8 11 12 10 8 7 7 6 6 7 8 7 5 5 5 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 7 6 6 5 5 5 5 6 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 9 9 9 8 8 8 8 7 7 6 5 5 6 6 6 7 10 13 15 15 13 11 9 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 nan
nan 9 12 13 11 8 7 6 4 4 5 7 8 7 7 7 7 6 6 7 9 10 10 9 8 7 6 6 7 10 10 7 5 4 4 6 7 8 8 9 9 8 7 7 7 7 8 8 8 9 9 9 10 10 11 11 12 11 10 8 7 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 9 11 12 14 15 14 13 10 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 6 nan
nan 9 12 13 11 8 8 8 6 4 5 8 8 7 7 8 8 8 7 8 7 7 8 8 7 6 6 6 7 9 10 10 8 5 3 4 7 8 8 9 9 9 8 7 7 8 8 8 8 9 9 9 9 10 11 13 14 13 13 11 10 9 8 7 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 11 12 12 11 9 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 11 13 15 15 13 12 11 10 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 nan
nan 7 9 10 10 9 10 10 7 4 5 7 9 8 8 9 10 9 8 8 7 7 7 7 6 6 6 5 5 7 10 11 10 7 5 5 7 8 8 9 9 10 8 7 7 7 8 8 8 8 9 9 9 10 10 11 12 13 13 13 13 12 10 8 6 4 4 6 8 8 8 8 8 8 8 8 8 7 6 6 6 6 8 10 11 11 10 9 8 7 8 8 7 7 8 8 8 7 6 5 5 5 4 4 5 6 8 11 13 14 15 16 17 18 18 17 14 11 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 6 7 8 8 9 10 11 8 5 4 7 9 9 9 10 10 9 8 8 8 8 8 7 7 6 5 4 4 5 8 10 10 9 7 7 8 8 8 9 9 8 7 6 6 7 7 7 7 8 9 9 10 10 11 11 12 12 13 13 13 13 12 10 8 6 5 6 8 9 9 8 8 8 8 7 8 8 7 5 5 5 6 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 5 4 4 4 4 3 3 3 5 7 10 13 15 18 19 20 20 18 13 9 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 4 4 5 7 9 11 11 8 5 4 5 8 10 11 11 10 9 8 8 8 8 8 8 7 6 5 3 3 5 7 8 9 9 8 8 8 9 9 9 9 8 6 5 5 6 6 6 6 7 8 9 10 11 12 13 13 13 13 13 13 13 14 13 11 9 7 7 8 9 10 9 9 8 8 8 8 9 8 7 6 5 6 7 8 9 10 11 12 11 10 9 9 8 7 7 6 5 5 5 5 4 4 3 3 4 5 7 8 9 11 13 14 14 12 8 5 4 5 5 6 7 7 8 8 8 8 9 9 9 9 9 8 8 nan
nan 4 3 4 7 9 11 11 10 7 4 4 7 10 12 12 10 9 8 8 8 8 8 8 7 7 5 3 3 4 5 7 8 8 8 8 9 9 8 9 9 8 6 4 4 5 6 6 6 7 7 7 9 10 12 13 13 13 13 13 13 13 15 15 14 12 9 8 8 9 9 9 9 9 8 8 7 7 8 8 7 6 6 6 7 8 9 10 11 12 12 11 10 9 8 6 5 6 6 6 6 5 5 4 4 5 6 7 7 7 7 8 8 7 4 -1 -3 -0 3 5 6 7 8 9 9 9 10 10 10 10 10 9 9 9 nan
nan 4 2 3 5 7 9 11 12 10 5 3 5 8 10 12 12 11 9 9 8 8 8 8 8 7 6 4 3 3 3 5 6 8 8 9 9 9 8 9 10 9 6 4 4 5 6 6 7 7 7 7 7 8 9 10 11 12 13 13 13 14 16 16 16 15 12 10 8 7 7 8 8 9 8 7 6 7 8 9 8 7 6 6 7 8 8 9 9 10 11 11 11 11 10 8 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 7 6 4 0 -3 -2 2 5 7 8 9 10 10 11 11 11 11 10 10 10 10 9 9 nan
nan 5 3 3 4 5 8 11 13 12 7 3 3 5 8 10 12 12 12 11 9 8 8 7 7 7 6 5 4 3 3 3 5 6 7 8 9 9 9 9 10 10 8 6 5 6 6 7 7 7 7 7 6 6 7 8 9 11 12 13 14 15 15 16 16 15 15 12 9 7 6 5 5 6 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 10 10 9 8 8 8 8 7 7 7 7 7 7 6 5 4 4 5 6 7 7 5 3 -0 -0 4 8 11 12 11 11 11 11 11 11 11 11 11 11 10 10 9 8 nan
nan 6 4 3 3 5 7 10 12 12 8 4 3 3 5 8 11 13 13 12 10 9 8 8 8 7 7 6 5 4 4 4 3 4 6 7 8 8 9 9 10 10 9 8 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 13 13 14 15 14 12 9 7 5 3 3 5 7 9 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 7 8 8 7 7 6 4 3 4 5 6 6 5 4 4 9 14 18 19 17 15 13 12 12 11 11 11 11 11 10 10 9 8 8 nan
nan 6 4 3 4 6 8 9 11 10 8 5 2 2 5 7 10 12 13 12 11 10 9 9 9 8 7 6 5 5 6 5 2 2 4 6 8 8 8 8 9 10 10 9 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 13 13 13 11 10 8 5 4 5 7 8 7 6 6 7 9 9 9 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 5 4 4 4 5 6 6 8 12 18 22 23 21 19 18 17 14 12 11 10 10 10 10 9 9 8 7 7 nan
nan 6 4 4 6 7 7 8 9 9 8 5 3 3 4 7 9 10 12 13 12 10 8 9 10 10 9 7 6 6 8 6 2 0 2 5 8 9 8 7 8 10 12 11 7 4 4 4 5 5 5 6 7 7 7 7 7 7 6 5 6 7 8 9 10 10 10 10 11 11 11 11 9 7 6 7 8 7 6 6 7 8 8 7 7 7 7 6 6 7 9 10 11 11 10 9 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 6 7 9 13 16 17 17 16 17 18 17 14 11 9 9 9 9 8 8 7 7 7 6 nan
nan 6 5 5 6 7 7 7 8 7 7 5 4 4 5 6 8 9 11 13 13 10 8 7 9 9 9 8 7 8 10 8 4 0 0 4 8 9 8 7 8 10 12 13 10 7 5 4 4 3 3 4 6 6 6 5 5 5 5 5 6 7 9 10 10 9 8 8 9 10 11 11 10 8 7 7 8 8 8 8 7 6 5 4 4 4 5 6 7 7 8 9 10 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 7 8 8 9 10 9 9 11 12 13 14 12 9 8 7 7 7 7 7 6 6 6 6 nan
nan 7 6 6 6 6 7 7 7 6 4 4 5 6 6 7 7 9 11 13 13 11 9 7 7 8 8 7 7 8 11 12 8 3 1 2 5 7 7 7 8 9 11 12 11 10 9 7 5 2 1 2 4 4 4 4 4 4 4 5 7 9 10 10 10 9 8 8 8 9 10 11 10 9 8 7 7 8 9 8 7 6 4 3 3 2 3 4 5 6 6 7 8 9 9 10 11 11 10 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 7 6 6 5 4 4 4 5 5 4 5 5 6 6 6 6 6 6 6 7 nan
nan 7 7 6 6 6 7 7 7 5 2 3 4 6 7 7 7 9 11 12 13 12 11 9 7 6 7 6 6 7 11 13 12 8 5 3 3 4 6 7 7 8 9 10 11 11 11 11 9 5 3 2 2 2 2 3 3 3 3 5 7 9 10 10 9 8 8 9 9 10 10 11 11 11 10 9 8 8 9 9 9 8 7 6 5 4 4 4 4 4 4 5 6 8 9 10 12 12 11 10 10 10 9 9 8 8 8 8 9 10 10 9 9 8 8 7 4 1 -3 -5 -5 -6 -5 -1 3 5 6 6 7 7 7 7 7 8 nan
nan 8 7 7 6 6 7 7 7 5 3 2 3 6 8 9 8 9 9 10 10 10 12 11 8 7 6 6 6 6 9 11 11 11 10 7 4 4 6 7 7 7 8 9 9 10 11 12 11 8 6 4 3 2 1 1 2 2 2 3 5 7 7 7 8 8 8 9 10 10 10 10 11 12 12 12 11 9 9 9 11 11 11 10 9 9 9 8 7 5 5 5 6 7 9 10 10 10 11 10 11 11 10 10 9 8 8 8 10 11 10 9 8 7 8 7 4 -0 -4 -6 -6 -7 -5 0 4 7 7 8 8 8 8 8 8 8 nan
nan 7 7 7 7 6 7 7 7 6 4 2 2 4 7 10 10 10 9 7 6 8 11 12 10 8 7 7 7 7 7 8 8 10 12 9 5 4 7 8 7 7 8 8 8 9 10 12 12 11 9 7 6 4 2 2 2 2 2 2 2 2 2 4 6 7 7 9 10 10 9 10 10 11 12 13 13 11 10 10 11 12 13 13 13 13 12 11 10 9 8 6 5 6 7 8 8 9 10 10 11 11 11 11 10 9 8 9 9 9 8 7 6 6 6 6 5 5 5 6 5 4 5 7 8 9 9 9 9 9 9 8 8 8 nan
nan 8 7 7 7 7 7 7 7 7 6 4 2 2 6 10 12 12 10 6 3 6 10 11 11 9 8 8 8 8 6 5 6 9 12 10 5 4 6 8 8 8 8 8 8 8 9 10 12 12 12 11 11 10 8 7 7 6 6 4 2 -0 -0 1 3 5 6 7 8 8 8 9 9 9 10 11 12 12 12 11 11 12 12 13 13 13 12 12 12 12 11 9 6 5 6 6 7 9 10 10 10 11 11 11 10 10 10 9 8 6 5 5 6 6 5 6 7 10 13 16 15 12 10 9 9 9 9 9 9 9 9 8 8 8 nan
nan 8 8 7 7 7 7 7 7 7 6 4 2 2 5 10 13 13 11 7 4 5 7 9 10 10 9 8 8 7 6 4 5 9 12 11 7 5 5 6 7 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 11 10 8 5 3 2 3 4 5 6 6 6 7 7 8 8 9 10 12 12 11 11 10 11 11 11 11 11 11 12 12 12 12 11 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 8 6 5 5 7 9 9 8 9 10 12 14 15 14 11 8 8 8 8 8 8 8 8 8 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
16 17 18 18 22 27 32 37 40 41 43 45 48 49 48 48 48 47 46 44 40 35 30 27 26 27 27 28 26 24 24 25 25 25 27 28 27 24 22 21 21 22 22 19 17 14 10 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 0 0 0 3 14 28 36 44 57 63 67 76 85 88 86 84 83 80 78 77 79 82 86 89 94 99 103 106 106 107 112 116 121 130 149 168 161 145 135 129 124 122 119 116 114 113 114 114 114 116 119 121 117 111 110 110 107
15 17 19 18 17 23 29 34 38 41 43 45 46 46 45 44 46 44 43 39 35 31 28 27 28 28 27 24 21 20 20 23 23 22 21 20 19 18 18 17 18 19 18 16 13 11 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 0 0 0 0 0 0 0 0 0 0 4 15 28 32 40 54 62 62 71 80 84 84 83 81 80 80 77 77 81 85 88 93 98 104 107 107 107 110 115 119 127 143 162 156 145 138 133 129 128 125 124 123 120 118 116 110 106 107 109 110 109 108 106 102
14 17 19 19 19 23 27 31 35 38 41 43 44 44 44 42 43 41 37 33 30 29 28 29 30 29 24 20 19 19 19 19 19 19 18 17 16 15 17 16 15 15 14 12 9 7 6 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 4 15 27 32 37 52 57 58 67 76 81 83 82 79 78 79 81 80 81 82 85 90 97 103 107 108 110 115 118 125 130 139 145 142 139 138 133 126 124 122 123 124 123 121 118 113 107 102 99 99 99 99 98 94
11 16 19 20 20 20 21 24 30 35 38 39 40 40 40 38 37 35 33 31 31 30 29 28 27 24 21 18 18 17 17 15 15 15 15 15 13 12 12 12 11 11 10 8 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 4 14 25 33 35 51 53 56 66 75 80 80 79 79 79 79 83 83 82 83 85 88 92 98 106 112 116 122 124 133 145 149 142 135 133 135 128 120 119 117 118 119 118 116 113 110 107 104 101 99 95 94 93 91
11 14 17 19 20 19 18 20 24 28 31 33 34 34 35 33 31 30 29 29 30 31 30 27 23 19 18 17 15 14 12 11 11 11 11 11 9 8 7 7 7 8 7 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 5 16 21 28 32 45 51 56 65 74 78 78 77 78 78 81 85 86 84 84 84 86 90 99 109 115 118 126 132 139 145 146 142 133 129 130 122 115 112 111 111 110 109 108 106 103 101 102 101 100 96 93 91 90
13 14 16 19 21 21 20 21 21 21 24 26 27 27 27 26 26 26 26 26 28 30 28 23 20 18 17 14 12 11 10 9 8 8 8 8 5 5 5 5 5 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 1 7 16 20 25 33 42 48 53 62 72 76 77 78 78 78 80 85 86 84 83 83 85 92 102 110 114 119 127 136 144 148 147 142 137 133 130 124 115 107 107 111 110 109 106 103 99 92 94 95 94 92 91 90 88
13 13 14 18 22 22 21 21 21 21 21 22 22 23 23 25 25 26 26 27 27 26 23 20 19 18 14 12 10 7 6 6 5 5 5 3 3 3 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 20 25 31 40 46 51 61 70 75 77 78 77 77 79 83 85 86 86 85 87 92 101 109 115 121 129 139 147 150 147 142 140 136 132 128 121 116 114 112 111 110 108 106 102 98 95 94 93 92 91 91 90
14 14 14 16 19 20 21 22 22 22 22 22 22 23 24 26 28 28 27 25 22 19 18 19 17 16 12 11 8 5 3 3 3 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 18 24 32 39 45 51 60 68 73 75 76 76 76 78 82 86 89 90 90 93 95 101 108 115 121 128 137 147 149 146 142 139 135 133 129 124 120 118 116 114 112 109 108 106 103 101 99 98 96 95 95 95
12 14 14 14 15 16 18 20 21 22 23 23 25 26 26 27 27 25 23 20 19 19 19 18 15 14 12 9 6 4 2 1 1 1 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 1 5 10 17 24 31 38 44 51 60 66 68 70 71 72 74 78 82 86 89 89 92 94 97 101 107 113 117 125 137 147 146 144 143 139 135 131 128 125 123 119 119 117 116 112 110 108 106 105 104 102 101 99 98 98
9 12 14 15 15 15 15 16 17 18 19 19 22 23 22 21 19 18 18 18 20 21 19 17 15 12 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 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 10 16 23 31 38 44 51 59 62 63 64 65 68 71 74 80 83 86 88 89 91 95 98 103 109 113 120 133 143 144 144 142 138 134 131 130 130 129 129 129 124 120 116 112 109 106 104 106 104 103 103 100 99
8 10 12 15 16 16 16 16 16 16 16 17 18 18 18 18 17 16 18 18 20 19 15 15 13 10 8 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 0 0 0 0 0 2 5 11 16 22 29 37 41 50 56 58 58 58 58 62 66 68 75 81 83 85 86 88 91 96 100 105 110 117 130 141 142 139 137 135 134 133 133 134 134 134 132 127 122 116 112 111 111 111 112 107 105 104 101 100
8 9 10 12 14 15 16 16 16 15 16 17 18 18 17 18 19 19 18 16 15 13 13 12 11 9 7 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 0 0 0 0 0 2 5 8 14 20 27 36 39 47 54 56 55 54 53 55 59 64 70 74 78 82 84 85 87 91 97 104 108 115 125 132 134 135 137 137 133 131 131 136 143 145 140 131 123 117 113 113 116 117 118 113 109 105 102 102
6 8 10 11 11 13 14 13 12 13 12 13 15 15 14 15 16 17 16 14 14 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 0 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 14 20 27 33 38 44 51 54 54 54 53 53 55 59 64 67 70 75 79 82 85 88 96 104 107 111 116 121 125 131 135 133 130 126 127 135 146 150 144 134 126 121 119 119 122 119 118 117 114 109 105 103
4 6 8 9 10 11 12 11 10 11 9 10 11 11 10 11 12 12 11 11 11 9 8 8 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 0 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 19 25 31 36 41 48 53 54 54 53 53 53 55 59 62 64 68 72 75 80 85 94 101 105 106 108 113 119 123 132 133 129 124 124 133 143 145 138 131 125 120 118 121 123 123 121 119 117 113 110 108
1 3 6 7 8 9 10 8 8 8 7 8 10 9 9 9 9 8 8 8 8 7 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 0 0 0 0 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 23 29 34 39 46 51 52 52 53 54 53 54 56 60 62 63 66 71 79 84 90 96 99 100 101 103 105 111 121 125 124 123 125 132 138 136 131 124 119 113 113 116 119 122 122 120 118 116 114 113
1 1 3 4 5 6 7 6 5 5 5 6 6 6 6 6 6 6 6 5 5 4 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 0 0 0 0 0 0 0 0 2 3 7 11 16 21 26 32 38 43 47 48 50 53 55 54 53 54 58 60 60 62 68 76 81 86 90 93 93 94 96 97 103 111 115 117 120 125 131 134 131 126 119 115 111 109 110 115 119 118 116 117 114 112 110
0 0 1 1 2 4 4 4 4 3 3 3 3 4 5 5 4 3 3 2 2 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 0 0 0 0 0 0 0 1 3 5 10 15 19 24 28 34 39 44 44 47 51 54 54 53 54 57 59 60 61 64 68 73 80 84 86 87 88 90 89 94 102 109 114 118 123 131 134 132 127 122 119 116 114 113 114 114 112 112 112 110 111 109
0 0 0 0 1 2 2 2 2 2 1 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 12 17 20 25 30 35 39 39 42 46 48 50 51 53 54 55 58 60 62 63 68 74 78 80 83 85 87 87 90 96 106 114 118 119 126 129 132 133 132 128 124 121 120 119 113 109 107 107 107 107 107
0 0 0 0 0 1 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 0 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 15 20 23 27 30 33 36 39 42 43 44 45 47 49 51 54 57 59 61 64 68 73 75 78 82 86 88 88 90 99 109 115 113 119 124 131 136 136 132 126 123 124 126 120 111 105 106 106 105 104
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 22 24 25 29 32 35 37 38 39 40 42 44 47 51 54 57 60 62 65 70 72 75 79 83 86 87 87 91 100 109 110 113 118 127 134 134 125 116 119 128 127 125 116 109 108 108 106 103
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 15 20 21 22 25 29 32 35 36 37 37 38 39 43 47 52 56 58 60 61 67 69 72 76 81 84 86 86 85 93 102 105 107 112 122 131 133 122 111 114 126 130 129 124 118 116 117 116 109
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 19 20 21 23 25 30 33 34 35 36 36 36 40 45 51 55 58 58 59 63 65 68 73 78 83 85 85 84 88 94 100 104 107 116 128 133 130 124 119 121 124 125 124 123 124 124 125 123
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 20 20 21 24 27 29 32 33 35 35 36 39 44 48 51 56 57 58 60 62 65 69 74 80 83 84 84 84 89 96 101 104 112 122 132 137 136 130 126 121 117 117 120 121 121 123 125
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 20 20 21 23 26 28 31 32 34 36 37 39 42 46 45 51 55 58 59 60 64 67 72 78 82 85 85 82 83 88 94 101 107 115 129 139 141 138 133 128 123 121 118 116 114 116 117
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 15 20 22 21 22 26 28 30 32 34 36 38 40 40 42 43 46 52 57 59 60 63 66 71 76 80 83 83 81 78 79 86 98 101 107 122 138 146 146 142 133 126 124 121 118 116 115 114
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 22 24 21 23 26 29 31 33 34 37 39 41 39 39 42 45 50 56 60 61 61 61 66 70 74 78 80 78 75 75 77 91 97 104 116 131 144 149 147 136 127 124 122 121 119 116 115
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 22 25 23 24 27 31 33 33 35 37 40 41 40 41 44 46 49 52 57 59 59 58 61 64 68 73 75 76 75 74 74 82 91 99 108 118 131 146 149 144 137 129 124 122 121 118 116
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 12 20 24 25 26 27 30 33 34 35 38 42 42 41 42 45 47 49 51 53 56 57 58 60 62 65 67 69 72 74 74 73 75 81 89 100 105 115 131 144 152 151 143 133 127 123 120 117
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 10 17 23 27 27 26 29 32 34 35 38 42 43 43 44 45 47 49 50 51 52 54 54 56 58 60 61 62 65 68 71 72 71 71 75 85 92 101 112 121 136 150 152 146 137 127 122 123
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 14 20 26 29 29 29 31 34 36 37 41 43 43 44 45 46 47 48 48 49 50 50 51 53 55 55 56 59 61 63 66 67 66 65 70 76 87 99 108 119 133 144 153 146 136 130 132
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