Vorticity
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nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 8 10 11 11 12 13 13 12 11 9 8 8 9 12 14 14 14 11 10 10 11 11 11 11 11 12 12 10 10 11 12 13 13 14 14 13 11 10 9 10 11 12 11 11 10 9 9 10 11 11 10 9 8 8 8 9 9 9 7 6 4 3 4 6 7 9 11 14 16 18 19 18 16 14 14 15 15 14 12 10 10 10 10 11 11 11 11 10 9 8 8 9 12 15 14 11 8 6 6 8 9 9 9 9 8 7 5 2 2 4 7 9 9 8 6 7 10 13 14 13 12 10 8 7 6 6 7 7 7 6 5 3 4 6 8 11 12 12 9 6 6 7 9 10 10 9 9 11 13 13 12 8 4 0 -1 2 6 9 10 11 12 14 17 17 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 6 8 9 11 12 12 14 14 13 11 9 7 8 10 13 16 15 13 10 8 9 10 10 10 10 11 12 13 12 10 10 11 12 12 10 9 7 6 6 6 8 9 10 10 10 10 10 10 11 11 11 11 10 8 6 6 6 7 7 6 6 5 5 6 7 7 8 9 12 15 18 20 19 17 16 15 16 16 15 14 12 11 10 10 11 11 11 11 10 9 8 7 7 8 10 9 7 6 7 9 11 11 10 10 10 9 9 8 5 3 3 4 5 6 5 4 3 6 10 13 13 12 10 8 7 7 8 8 8 8 7 6 5 6 8 10 13 15 15 13 10 9 9 10 11 11 11 12 13 14 13 11 8 4 2 3 5 8 10 10 10 11 13 16 17 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 11 12 13 13 11 9 6 6 9 14 18 18 15 11 8 8 10 11 11 12 12 12 11 10 9 8 9 10 10 8 5 4 4 4 5 7 9 10 10 10 10 9 9 9 10 10 10 9 8 7 6 6 6 7 8 9 9 8 7 6 5 5 6 9 12 16 18 19 18 16 15 15 16 16 15 13 12 10 10 11 11 11 11 10 9 8 7 7 8 8 8 7 8 9 11 12 11 11 11 11 10 9 8 7 5 4 4 5 6 5 3 3 4 8 10 11 11 10 8 7 8 9 10 10 10 9 7 6 6 7 9 12 16 18 18 16 13 12 12 12 12 13 14 16 16 15 13 10 6 3 5 7 9 11 12 12 13 14 16 16 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 7 8 9 8 6 4 5 8 13 17 19 16 12 9 9 11 12 13 14 14 13 11 8 7 7 8 10 10 7 4 3 3 5 8 11 13 13 12 12 12 12 10 9 8 9 9 9 9 8 8 7 8 9 11 13 13 10 6 3 3 4 5 7 10 12 14 16 17 17 16 15 14 14 14 14 13 12 11 11 12 12 11 11 10 9 8 8 9 11 12 12 11 11 11 11 11 12 13 13 11 9 8 8 7 6 6 6 7 7 5 4 4 5 8 9 10 10 9 8 7 8 9 9 10 9 8 6 4 4 5 7 13 18 20 20 18 16 15 14 13 14 16 17 18 17 14 10 5 4 5 8 10 12 13 13 14 15 14 14 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 5 5 4 4 4 7 10 14 17 16 14 12 12 12 13 14 14 14 13 11 9 7 8 9 11 11 9 6 5 5 7 11 15 16 16 13 12 13 13 12 10 9 10 10 10 9 9 8 8 9 11 13 15 14 9 4 1 3 6 8 9 10 9 11 14 16 18 18 15 13 13 13 13 13 13 12 12 13 13 13 13 12 10 9 9 10 12 14 14 13 10 9 9 11 13 14 14 13 11 10 10 9 9 8 8 8 8 7 5 4 4 6 8 9 10 10 9 8 7 7 7 8 8 8 7 5 4 4 6 9 14 17 18 18 17 16 15 15 15 16 17 15 13 9 5 2 2 5 8 10 10 10 11 13 13 12 11 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 6 6 5 4 4 5 6 7 7 6 5 6 8 11 13 15 15 15 14 14 14 14 14 14 13 12 10 9 9 10 12 13 12 9 8 7 9 12 14 15 13 12 11 11 12 12 10 10 10 11 10 8 7 7 8 10 11 13 13 13 9 5 5 8 13 16 16 14 11 10 13 16 19 19 17 14 13 13 13 13 13 12 12 13 15 15 15 13 11 10 9 9 10 11 11 11 9 9 10 11 13 13 14 14 14 13 12 11 11 10 9 8 7 7 6 5 5 5 6 7 9 10 10 9 8 7 6 7 8 9 9 9 9 8 8 9 10 13 15 17 17 18 18 18 18 17 15 11 6 1 -1 0 3 7 9 10 9 9 11 13 12 11 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 5 5 4 4 5 7 9 10 10 9 7 6 6 8 10 12 14 14 15 15 15 14 14 13 13 12 11 10 9 10 12 14 13 12 11 9 9 10 10 10 8 8 8 9 9 10 9 8 8 8 8 6 5 6 7 8 9 10 10 10 9 10 13 18 22 25 23 18 13 11 12 15 18 20 20 17 16 15 14 13 13 12 13 14 15 16 16 15 12 10 8 8 8 9 9 10 10 11 10 10 10 11 13 15 17 15 13 12 11 10 9 8 7 7 7 8 7 7 6 6 8 9 9 9 8 8 7 8 8 9 9 10 9 8 8 8 9 12 16 18 19 19 20 20 19 17 13 7 1 -3 -2 2 6 9 10 10 10 11 13 14 14 12 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 5 4 3 3 4 6 8 10 10 9 7 5 5 6 7 9 11 12 14 16 16 15 14 13 12 12 11 11 10 10 13 14 15 13 12 10 9 8 8 6 5 5 6 6 7 8 8 7 7 6 5 4 3 3 4 5 7 7 7 7 8 13 19 24 28 28 22 14 9 7 9 13 16 19 20 19 18 17 16 14 13 13 13 14 15 16 16 16 14 10 9 9 10 10 11 12 12 12 11 10 9 10 14 17 20 18 14 12 10 10 10 8 8 8 10 12 12 10 8 8 9 9 10 10 10 9 9 8 7 7 6 5 4 3 4 7 11 15 19 21 20 18 17 17 15 12 8 2 -3 -4 -2 2 5 8 9 10 10 11 12 13 14 12 11 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 4 3 2 1 2 5 7 9 9 8 7 6 5 6 7 8 10 11 12 14 16 16 14 12 11 11 11 11 11 12 13 15 15 13 12 10 9 8 6 5 5 5 5 6 7 6 6 6 7 7 7 6 4 3 2 3 5 6 6 6 8 13 20 26 27 24 16 7 3 3 5 10 14 16 17 18 18 17 16 14 13 13 14 14 15 15 15 14 13 11 11 11 13 14 14 14 13 11 10 9 10 11 14 17 20 20 17 13 11 11 11 9 8 10 12 14 15 13 10 9 10 11 11 11 12 12 11 9 8 6 5 4 3 2 3 8 13 18 21 20 17 12 10 10 8 7 3 -3 -6 -5 -1 3 5 6 8 9 9 8 9 10 12 12 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 4 3 2 1 2 4 6 9 10 10 8 7 7 7 7 8 9 10 11 12 13 14 14 13 11 11 11 10 10 12 13 15 15 13 11 9 8 8 7 6 6 7 7 7 7 6 5 5 6 8 9 9 6 4 3 4 5 7 8 7 8 12 17 22 22 18 11 5 1 2 4 7 10 12 13 13 14 13 12 11 11 12 13 14 14 13 13 12 11 11 11 12 14 15 15 13 11 8 7 8 9 11 12 14 17 18 19 16 14 12 11 10 9 11 12 13 12 11 9 10 11 12 13 13 13 13 12 11 10 10 9 9 9 9 9 11 13 16 18 17 13 7 4 4 5 5 4 -2 -4 -2 3 8 10 10 9 8 7 6 6 8 10 11 10 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 4 3 2 2 3 6 8 10 11 10 9 8 8 7 8 9 9 9 9 10 11 13 13 13 12 11 10 9 11 14 16 15 12 9 7 7 7 7 7 9 10 12 11 9 7 6 6 6 8 9 8 7 6 6 6 8 9 9 8 8 9 11 13 13 11 8 5 3 3 5 6 8 9 9 10 10 9 9 9 9 10 12 13 13 12 12 10 10 10 11 12 12 13 12 11 9 7 7 7 8 9 10 12 15 18 20 20 17 13 11 10 11 11 10 9 8 7 8 9 11 13 14 14 13 12 10 10 11 12 14 15 16 16 14 14 14 15 16 15 10 4 1 2 4 6 7 4 1 4 8 12 14 13 11 9 7 6 6 7 9 11 11 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 5 5 5 4 3 3 4 6 8 10 11 11 10 9 8 8 9 9 8 8 7 8 10 12 13 13 12 10 9 10 15 18 16 12 8 6 5 5 5 8 11 13 15 14 11 8 7 7 7 7 6 6 7 9 9 9 9 9 9 8 7 8 8 8 7 5 4 4 4 5 6 7 7 8 9 9 9 9 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 11 14 18 21 21 19 14 11 9 10 10 9 8 6 6 8 10 12 15 17 17 14 10 7 6 7 10 13 16 18 18 17 16 15 15 15 14 9 4 1 1 4 7 9 9 7 7 9 11 13 13 11 10 8 7 7 7 9 11 12 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 5 4 4 5 7 10 12 12 12 11 10 9 8 8 7 7 6 6 7 9 11 11 11 10 9 10 13 16 14 11 7 4 4 5 6 8 12 15 16 15 12 8 7 6 7 7 7 9 12 12 11 10 8 8 8 7 7 7 7 6 4 3 3 4 5 6 7 7 7 8 9 10 11 12 13 13 11 10 9 9 10 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 10 13 16 18 19 17 13 8 6 6 8 10 9 8 7 8 11 13 15 18 18 15 9 5 4 4 6 8 11 15 16 16 15 14 13 13 13 10 6 4 3 4 7 9 11 10 10 10 10 11 11 10 10 10 9 8 8 8 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
11 9 9 10 14 19 23 21 17 16 15 13 13 14 18 21 23 25 26 27 27 25 24 24 25 28 32 35 36 33 30 33 41 46 49 52 52 45 39 37 38 42 45 47 53 60 62 65 70 74 78 80 88 106 140 175 171 119 78 54 44 50 60 72 86 98 103 102 96 88 87 92 92 97 100 107 96 78 64 57 50 46 42 41 42 43 48 60 82 120 180 247 293 303 285 255 224 200 186 186 151 122 113 106 97 88 78 72 68 69 75 83 79 11 1 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 1 11 39 80 109 133 154 154 159 132 75 30 8 1 0 0 4 18 41 58 61 63 65 56 47 41 36 31 24 17 14 13 10 6 3 6 11 13 8 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
12 11 10 11 13 17 19 17 13 13 13 12 12 12 15 19 24 26 27 29 28 26 24 22 21 22 26 32 35 34 33 35 44 48 51 52 50 43 36 33 34 38 42 47 52 58 59 57 56 59 65 72 81 98 133 168 156 109 69 49 42 49 59 72 86 96 101 99 89 86 78 73 82 94 91 82 68 64 63 58 49 42 38 37 39 39 45 59 84 127 184 246 282 279 251 222 198 181 181 217 184 157 136 122 113 105 94 82 72 70 75 72 47 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 10 40 82 115 133 150 138 153 122 63 20 5 1 0 0 4 16 35 51 59 65 65 50 35 31 30 27 21 16 14 13 11 6 4 11 28 41 31 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
13 12 11 13 15 18 18 16 14 13 12 11 11 11 14 18 24 30 34 38 37 33 29 26 22 20 22 27 32 35 37 40 45 44 48 51 49 43 37 33 32 34 37 43 50 56 59 58 58 61 66 70 75 85 110 141 129 93 60 44 42 49 59 75 88 95 96 88 68 66 68 72 91 102 94 73 55 55 59 56 47 40 37 38 39 36 42 61 92 135 189 236 255 238 208 182 173 183 209 236 228 221 195 167 146 131 117 101 86 82 89 75 37 2 0 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 5 26 64 104 128 137 109 145 122 63 21 8 4 2 0 7 19 32 42 47 49 43 35 22 19 20 20 19 17 15 14 10 5 3 11 26 32 18 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
13 12 13 13 14 16 16 15 14 12 10 11 12 11 13 17 25 36 46 48 45 39 36 31 26 22 21 23 27 30 33 35 35 37 40 47 47 44 40 37 33 31 31 36 44 51 56 58 58 65 71 70 68 72 88 109 106 80 56 43 43 51 62 77 89 97 98 85 69 66 70 77 97 103 90 73 60 56 57 53 45 37 33 33 34 35 39 65 105 152 193 215 210 185 162 151 164 197 229 247 269 295 294 254 209 173 145 122 106 98 92 63 26 3 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 1 9 36 78 114 126 112 141 122 67 32 19 12 6 2 6 17 25 34 38 36 35 36 32 31 27 23 20 19 18 15 10 4 2 6 9 9 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
10 10 13 14 13 13 12 12 10 9 9 10 11 11 12 15 26 37 45 48 45 40 37 33 30 26 23 22 23 25 25 25 26 27 31 39 43 45 45 41 36 32 31 31 36 43 50 54 59 69 74 70 66 66 73 85 88 76 56 43 42 50 60 70 85 100 98 83 74 73 76 82 99 97 74 67 67 63 54 48 41 34 31 31 33 38 48 78 124 165 184 183 165 146 139 145 169 201 229 262 312 364 389 344 281 223 176 142 120 98 72 50 17 3 1 2 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 1 13 53 99 124 128 132 121 88 56 34 19 7 1 2 6 13 21 25 29 37 52 64 59 43 29 22 21 21 17 11 6 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
11 11 13 15 15 14 13 11 9 8 8 10 10 11 13 16 28 36 41 43 41 37 32 31 32 29 25 23 22 21 20 19 19 21 26 33 40 43 46 43 38 35 34 33 34 37 40 43 50 58 63 62 61 61 64 71 76 72 57 43 41 51 58 67 84 100 98 80 75 73 77 88 103 97 65 65 67 60 51 44 40 33 32 33 37 45 64 98 138 157 153 139 126 121 129 149 177 193 226 277 337 391 418 404 338 268 206 162 129 98 70 72 15 4 3 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 4 38 85 118 132 132 128 118 88 53 26 11 3 2 3 9 13 19 30 48 77 103 96 58 30 22 24 25 21 16 12 10 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
10 11 12 15 17 17 16 14 12 10 9 10 11 12 14 19 26 33 38 40 38 33 28 27 29 31 26 25 23 20 18 17 17 18 22 30 37 40 42 41 39 38 37 36 37 38 38 36 36 42 48 51 52 54 59 65 69 65 53 42 38 45 54 67 82 93 92 82 75 73 83 98 101 85 60 65 66 58 51 46 41 36 37 39 46 61 87 115 130 124 113 100 95 103 121 144 168 185 231 295 348 384 408 411 366 293 229 182 145 104 63 41 9 5 5 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 3 30 74 106 126 136 136 131 111 73 41 24 12 4 3 9 12 20 41 63 91 110 94 55 28 23 25 27 25 21 17 11 1 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
10 10 11 13 16 17 19 17 14 11 10 10 10 12 14 20 25 30 34 36 36 32 27 26 28 28 26 29 29 24 20 18 18 17 20 30 35 37 39 40 39 40 41 41 42 43 42 37 37 41 43 46 50 51 53 57 61 57 45 33 31 38 51 63 76 86 90 85 76 69 84 96 96 75 56 57 60 59 55 49 44 42 44 49 61 82 114 128 120 101 88 77 79 91 109 130 152 184 239 309 345 366 380 394 379 318 251 210 168 115 51 12 7 5 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 6 30 78 97 110 125 132 127 110 80 51 34 21 10 4 6 13 27 52 71 81 77 59 36 25 24 24 25 24 20 14 8 0 0 0 0 0 0 0 1 2 2 2 4 5 6 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0
11 9 10 12 13 15 17 16 13 10 9 10 10 11 13 19 23 26 30 34 35 31 27 28 29 27 27 32 33 29 25 23 23 23 25 33 35 35 36 38 40 42 45 49 52 52 46 40 39 44 44 48 51 50 49 49 53 49 37 26 28 37 48 58 70 83 87 84 76 71 75 84 87 68 56 54 54 54 54 53 50 50 52 60 72 88 115 112 98 81 69 63 71 85 98 116 142 182 240 306 334 352 361 393 400 358 297 249 170 62 16 2 3 4 4 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 10 43 99 116 122 139 147 136 114 84 54 40 26 12 6 10 19 34 55 65 67 52 33 23 24 25 24 22 18 14 8 2 0 0 0 0 0 0 1 2 3 3 3 5 9 12 15 16 14 6 2 1 0 0 0 0 0 0 0 0 0 0
9 9 10 12 14 15 15 14 12 10 8 9 10 10 13 18 22 24 28 32 32 28 24 23 28 28 29 31 33 35 32 28 27 28 29 32 32 33 33 36 39 42 46 52 58 59 54 47 45 49 50 49 48 46 44 43 43 41 31 22 26 36 47 58 67 80 85 84 79 75 75 82 78 67 56 52 52 55 58 60 59 57 58 63 69 76 89 80 70 60 51 48 57 72 85 107 139 184 240 294 323 341 366 403 408 379 329 265 165 42 6 0 0 2 3 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 1 6 23 59 112 150 168 185 192 175 139 98 65 48 33 16 12 15 22 32 44 48 52 41 29 23 25 25 22 15 9 5 2 0 0 0 0 0 1 2 4 4 3 2 3 7 12 20 27 26 19 11 6 2 1 0 0 0 0 0 0 0 0 0
8 9 10 12 14 14 14 14 13 10 9 8 8 9 11 15 19 23 27 28 27 25 22 22 26 26 29 34 34 31 30 28 27 28 27 27 27 28 30 34 37 41 44 48 55 60 59 56 56 55 54 50 46 42 40 38 36 33 28 21 22 36 47 56 63 72 81 83 80 75 81 87 79 64 53 47 48 53 59 63 63 59 59 59 59 61 64 61 55 49 42 39 45 59 78 103 137 190 237 281 315 337 360 384 389 369 324 246 130 14 1 0 0 2 2 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 1 24 52 83 123 170 210 240 246 215 160 108 73 51 36 25 23 19 22 30 35 32 27 19 18 23 26 22 13 5 2 0 0 0 0 0 0 3 7 11 11 8 4 1 2 8 16 26 33 30 20 11 5 2 0 0 1 1 0 0 0 0 0 0
6 7 10 12 13 14 15 17 14 11 9 8 9 9 10 13 16 20 22 23 24 23 24 26 26 23 21 24 25 24 25 26 25 24 22 21 21 22 25 29 33 36 38 41 48 55 59 58 56 57 56 52 47 41 37 35 32 30 27 21 16 35 43 53 60 65 73 78 78 74 82 92 87 66 48 41 41 47 54 59 60 57 55 54 54 54 55 56 54 47 39 37 41 52 67 90 125 177 222 274 320 353 368 365 372 352 303 215 100 9 1 0 1 2 2 1 0 0 0 0 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 12 17 74 115 133 158 201 251 295 291 234 161 100 63 46 44 34 27 23 23 31 36 31 22 16 19 27 28 17 4 1 0 1 0 1 2 3 5 9 14 14 10 7 5 5 6 9 13 23 31 28 17 8 3 0 0 0 1 0 0 1 0 0 0 0
4 5 8 10 12 15 16 16 14 11 8 8 9 10 10 11 14 16 18 19 20 20 20 22 24 24 22 23 21 22 23 24 24 24 22 20 20 19 20 23 28 32 37 41 45 50 56 58 54 59 57 53 48 43 38 34 31 30 27 20 16 29 37 49 57 62 68 74 78 80 84 88 85 70 51 42 38 40 45 51 54 55 55 57 57 56 55 56 53 45 40 38 40 46 58 82 123 177 222 286 338 370 382 377 371 342 277 194 100 32 10 7 7 4 2 0 0 0 0 1 15 31 27 11 0 0 0 1 0 0 0 0 0 0 0 0 1 10 35 61 73 78 139 184 189 205 240 280 307 299 233 152 99 64 53 54 36 35 31 33 40 44 41 34 28 28 29 22 9 1 0 2 4 2 2 3 5 9 14 15 12 9 8 8 10 12 12 8 14 23 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0
4 4 6 8 11 13 14 14 13 9 8 8 8 9 10 11 12 13 15 15 15 16 17 18 21 24 26 26 27 27 28 28 27 26 25 24 24 22 20 20 23 28 32 36 39 43 50 58 63 65 61 55 49 44 41 38 36 35 31 21 18 24 33 46 55 58 63 71 77 82 86 84 81 72 59 48 43 39 37 41 47 51 56 60 60 60 60 62 54 45 41 40 40 43 55 81 127 186 241 300 336 353 364 356 326 266 190 123 69 35 24 23 14 5 1 0 0 0 0 3 18 43 43 15 0 0 0 0 0 0 0 0 0 0 0 0 1 16 63 109 131 149 203 242 225 232 261 288 287 252 187 126 100 65 54 45 30 42 38 41 48 52 53 50 46 42 34 18 6 1 4 7 8 5 5 6 9 11 10 8 9 11 14 10 10 13 12 6 5 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0
5 4 5 6 9 11 12 12 10 8 7 7 8 9 9 11 12 11 13 12 13 15 17 20 22 27 32 33 33 33 34 35 33 30 28 28 29 28 22 21 24 27 30 33 35 35 40 48 58 64 65 61 52 47 45 44 43 41 37 26 20 21 30 41 50 54 59 65 71 76 82 86 83 72 63 54 46 38 31 32 38 45 52 58 61 63 63 66 57 49 44 42 41 44 56 79 118 181 242 276 290 265 246 230 186 119 62 29 11 12 21 18 8 3 1 1 0 0 0 1 6 16 21 12 5 1 1 2 1 0 0 0 0 0 0 0 1 9 41 85 121 173 243 276 246 239 259 271 257 221 176 143 122 96 88 67 42 42 64 61 57 57 56 55 53 50 45 23 11 9 12 15 12 9 7 13 18 18 16 15 14 13 16 7 6 8 8 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
6 5 5 6 7 9 10 8 9 8 7 7 8 8 9 11 12 13 13 15 17 18 19 23 28 34 39 38 34 33 34 35 36 34 30 28 27 26 24 24 29 30 31 32 31 29 29 34 45 57 64 64 57 53 52 52 50 48 44 34 23 22 28 37 45 50 53 58 64 68 72 74 71 63 63 57 49 43 37 34 33 37 46 54 60 62 61 61 53 49 46 44 45 50 64 90 128 175 218 247 241 171 138 101 66 30 7 5 1 1 3 3 1 1 2 3 1 0 0 0 1 5 15 31 11 2 5 5 2 1 0 0 0 0 0 0 1 2 10 46 92 177 260 291 269 254 271 279 267 247 229 214 194 167 141 88 51 49 63 62 54 52 47 37 30 30 35 31 24 22 23 20 14 10 9 16 24 29 29 26 20 17 17 5 2 3 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 5 5 5 6 7 8 8 9 9 8 8 8 9 10 13 16 17 18 20 22 25 24 26 29 32 33 31 27 29 31 32 33 33 32 28 25 23 25 30 35 36 36 33 29 26 25 28 35 46 55 59 58 57 58 59 60 60 55 46 34 27 28 37 45 48 50 54 60 65 69 68 63 58 60 59 52 49 47 43 39 35 40 50 57 58 57 56 52 49 48 47 49 56 70 98 145 189 214 238 227 153 94 42 34 27 13 2 0 0 0 0 0 2 4 4 2 0 0 0 1 6 16 24 0 0 6 4 1 0 0 0 0 0 0 0 1 2 5 27 95 199 274 301 296 288 297 304 302 296 285 271 250 205 166 105 66 59 69 71 56 44 35 25 21 21 24 29 31 29 27 20 12 9 10 16 22 27 31 31 28 22 16 3 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 6 5 5 5 6 6 7 8 9 9 9 10 10 12 15 19 21 20 21 24 27 26 27 28 28 27 27 27 30 28 30 31 32 31 30 26 24 28 33 38 41 39 35 30 28 26 27 31 41 48 52 53 55 58 61 65 67 68 64 51 36 29 36 45 47 47 51 58 65 69 68 64 58 57 58 54 46 44 45 43 39 38 44 49 51 52 53 52 53 51 50 52 55 65 87 123 157 156 135 117 75 22 7 28 35 19 5 0 0 0 0 0 2 2 0 0 0 0 0 0 1 1 0 0 0 2 1 0 0 0 0 0 1 1 2 2 3 8 35 115 234 286 296 294 299 317 327 320 316 299 272 236 191 157 104 84 72 69 67 61 49 36 29 30 30 26 25 28 29 24 16 9 6 8 13 16 19 22 23 22 18 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 7 7 6 6 5 5 6 7 9 10 11 12 11 11 14 18 21 19 18 20 23 25 26 26 24 23 23 25 27 25 27 28 29 30 30 28 26 30 34 37 38 34 30 29 29 28 29 32 39 46 50 48 47 48 52 56 62 70 75 63 46 36 36 45 47 46 49 56 64 68 67 62 55 50 49 50 44 41 40 40 40 40 41 39 39 44 46 47 47 45 45 46 44 43 46 49 54 41 13 2 0 0 1 7 14 9 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 4 6 5 4 20 68 143 246 278 270 266 286 324 349 338 320 291 250 204 165 139 109 112 89 64 56 58 52 35 31 36 34 26 21 23 27 23 14 7 4 6 9 12 13 13 13 13 12 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 11 10 9 7 6 5 6 7 8 9 10 12 12 12 14 17 18 17 15 15 16 16 18 19 19 19 20 22 23 23 27 28 32 30 28 28 28 30 31 36 35 32 28 27 28 30 32 37 43 48 48 45 40 39 40 45 53 63 69 64 53 44 40 39 44 44 47 52 59 64 66 61 51 43 40 39 35 32 29 30 32 31 26 22 25 26 32 33 33 32 31 29 22 15 10 6 5 0 0 1 1 0 0 0 0 0 0 0 0 1 11 24 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 4 25 80 154 231 258 262 271 288 314 336 343 338 296 246 210 176 141 105 85 58 42 41 44 44 36 30 33 32 31 28 28 28 25 18 9 4 3 5 7 7 4 6 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 10 10 10 8 7 6 6 6 7 7 9 11 11 11 14 16 16 13 11 11 12 12 14 15 16 17 20 22 22 23 25 26 30 29 26 25 25 27 30 35 33 29 27 26 28 30 33 39 46 49 47 44 38 36 37 40 45 51 55 57 56 49 43 38 37 40 43 47 53 60 64 59 49 40 35 28 22 18 15 15 17 18 15 12 11 7 14 12 13 14 13 10 4 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 5 33 80 101 69 27 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 13 63 142 212 243 276 308 315 311 322 349 358 306 274 248 191 128 80 46 28 28 34 40 43 40 34 36 37 45 44 39 35 31 21 10 3 1 1 2 2 0 0 1 2 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 7 8 9 9 8 8 7 6 6 6 8 10 10 10 13 14 13 10 9 9 11 13 16 16 16 18 20 21 22 24 23 23 24 26 25 24 25 27 29 32 35 27 24 24 25 28 32 38 47 50 48 44 38 34 35 37 39 42 45 51 54 46 45 40 35 35 38 41 47 54 61 59 50 41 33 25 16 9 5 3 3 4 4 4 3 1 2 1 11 9 4 1 0 0 0 0 0 0 0 0 0 1 9 15 13 6 0 1 14 100 164 165 112 50 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 45 119 189 235 276 313 318 309 317 334 328 286 265 254 175 100 53 28 20 25 36 46 53 52 45 45 47 56 51 43 35 28 19 8 1 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 5 6 7 8 8 8 7 5 4 4 6 8 7 8 9 11 10 8 9 11 13 15 16 17 20 22 23 24 25 27 23 21 21 22 23 23 24 26 27 31 32 27 26 27 27 28 31 38 48 53 50 47 42 38 38 37 37 37 39 46 52 51 52 44 37 34 33 35 39 48 57 58 53 46 39 30 17 8 2 0 0 0 0 0 0 0 0 1 8 5 1 0 0 0 0 0 0 0 0 0 0 2 16 26 21 9 1 2 14 75 120 115 77 36 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 48 121 184 228 258 281 285 275 286 307 300 260 247 229 143 77 40 23 18 24 47 69 71 65 59 56 54 52 46 35 25 17 10 4 0 0 0 0 0 0 0 0 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 4 6 7 7 6 7 6 5 4 4 5 6 5 6 7 8 8 8 10 12 17 21 21 20 23 28 30 27 25 26 25 22 20 20 22 23 26 28 29 32 30 28 29 31 33 33 35 41 48 53 53 51 49 45 43 40 40 40 38 42 49 53 52 45 38 33 31 31 34 43 54 60 59 55 48 36 21 7 1 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 8 4 1 0 0 4 23 26 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 9 78 166 221 240 242 244 242 227 242 266 261 241 232 200 123 63 32 25 31 44 59 71 67 61 58 53 46 39 35 26 16 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 0 0 0 0 0 0 0 0 0 0
4 4 6 7 7 7 6 6 6 6 5 5 5 4 4 5 7 8 9 10 13 18 21 19 19 22 26 27 23 20 20 21 19 17 20 22 25 28 30 30 31 30 30 32 33 35 36 38 42 45 48 51 53 57 53 48 45 44 43 41 40 43 47 48 48 41 35 32 30 31 35 43 53 60 58 51 38 20 5 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 7 41 138 227 255 243 223 209 195 174 182 208 230 224 205 176 117 59 24 12 20 41 60 66 56 50 46 40 31 23 19 18 13 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
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