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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 8 10 10 8 6 7 7 7 6 5 5 5 5 6 7 7 5 4 4 5 5 3 2 2 4 7 9 9 7 5 3 4 6 7 7 7 7 6 5 4 4 4 6 8 10 10 8 6 3 2 2 4 6 6 6 7 8 8 9 10 11 10 6 3 4 5 5 4 3 5 8 10 10 9 9 9 9 7 6 6 6 5 2 0 -0 0 1 1 2 4 8 10 8 5 3 4 5 6 7 6 5 4 4 4 4 3 3 5 6 7 6 4 4 4 4 4 4 4 5 6 7 9 11 14 17 18 17 15 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 10 13 13 10 8 7 6 6 5 5 5 7 8 8 8 7 6 5 5 6 6 5 4 3 4 6 8 9 7 4 3 5 7 8 8 8 8 8 7 6 7 8 10 10 10 9 8 6 4 2 1 2 4 6 6 6 7 7 8 10 12 12 9 6 5 4 2 2 3 5 8 10 9 8 8 8 7 6 5 5 5 4 2 1 2 2 2 1 2 4 7 10 9 6 5 6 8 9 9 7 4 3 4 5 6 6 5 5 5 6 6 5 4 3 3 2 2 3 3 3 3 4 7 10 13 15 14 13 nan
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nan 16 16 15 14 14 15 15 15 15 15 16 17 18 17 15 12 8 6 6 6 7 7 6 4 4 4 5 5 5 4 4 5 7 9 11 11 10 8 8 10 12 15 17 17 15 13 10 8 8 8 10 12 13 14 13 14 14 14 14 13 12 12 13 14 14 13 11 8 5 5 7 10 11 10 8 6 4 5 7 9 11 12 13 14 15 14 14 12 11 11 11 12 13 13 13 11 11 12 15 16 13 10 7 6 7 8 8 7 6 4 2 2 2 5 7 10 12 13 14 13 11 11 10 10 10 10 10 11 10 10 9 8 8 7 6 5 4 3 3 3 4 4 4 5 7 11 12 12 8 5 3 3 3 2 1 -1 -3 -3 0 3 5 6 6 6 7 7 7 7 7 7 8 8 9 11 12 12 12 12 11 10 9 9 9 9 8 8 9 9 9 nan
nan 14 12 11 12 12 14 15 16 17 18 18 19 18 17 16 13 10 8 8 9 9 8 6 4 3 3 4 5 6 5 5 5 7 10 13 15 15 13 11 11 12 14 15 16 15 13 11 9 8 8 10 13 15 15 14 14 13 13 11 10 9 9 10 12 14 15 15 13 10 7 7 8 9 10 9 7 5 5 7 9 10 11 12 13 14 14 13 12 11 11 11 11 12 12 11 11 14 16 17 16 14 12 11 10 11 12 12 12 11 8 5 4 5 7 10 11 13 16 18 20 19 16 13 11 10 9 9 9 8 8 7 8 9 9 8 7 6 6 5 5 4 4 4 6 9 12 12 11 7 4 4 3 2 0 -1 -3 -3 -0 4 5 6 6 6 6 7 8 9 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 nan
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nan 11 8 8 9 10 11 13 14 14 14 12 11 11 11 11 12 12 12 12 12 9 6 4 2 2 3 5 8 9 9 7 6 6 7 11 15 16 16 14 12 11 11 13 14 13 12 12 13 13 13 12 13 13 13 12 12 11 10 8 7 6 5 6 7 10 13 15 16 15 13 11 9 8 8 7 5 4 4 5 7 10 12 13 14 14 12 11 12 12 13 14 14 12 10 8 7 8 9 9 8 9 10 13 15 16 15 12 11 11 13 15 16 15 14 14 14 14 14 15 16 17 15 12 10 9 8 8 8 7 8 8 8 8 10 12 13 13 11 7 4 4 7 10 13 14 13 10 7 6 8 9 9 8 5 1 -1 0 3 5 6 7 8 8 9 10 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 nan
nan 12 9 8 7 8 8 9 10 11 11 9 9 9 10 11 11 12 12 12 12 10 7 5 5 5 6 7 8 9 9 8 7 7 7 9 12 14 14 13 11 10 10 12 14 14 12 11 12 14 15 15 14 12 11 10 9 9 8 7 6 5 5 6 7 8 9 10 11 12 12 12 11 10 9 7 6 4 5 6 9 12 14 14 14 13 11 10 10 11 13 14 14 12 10 9 10 11 10 8 6 6 7 10 13 14 13 12 12 12 14 16 17 16 15 14 14 14 13 13 12 12 11 11 10 10 10 9 9 8 8 8 7 7 8 10 12 11 8 5 4 6 10 14 15 14 10 5 3 4 7 11 13 13 11 6 3 3 4 5 7 8 8 9 9 10 11 11 11 11 10 10 10 10 11 12 12 12 12 13 13 12 12 13 13 13 13 13 12 12 nan
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nan 7 6 6 8 9 10 10 10 10 8 7 7 7 7 8 10 12 12 11 11 13 13 14 13 12 12 12 11 10 9 8 8 8 7 4 2 1 3 6 9 12 14 17 18 17 15 11 7 5 5 7 10 12 13 13 12 11 9 7 6 6 6 5 4 4 5 6 7 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 8 9 12 15 15 15 15 14 12 9 7 6 6 7 8 8 7 7 8 9 11 13 14 14 14 13 12 11 12 12 13 13 13 12 12 11 10 10 9 9 8 8 8 8 7 6 6 8 10 11 11 8 5 3 3 4 6 10 14 15 12 7 3 2 4 6 7 9 10 10 11 11 11 11 11 10 9 9 9 10 12 13 14 14 14 14 16 17 17 16 14 12 11 9 9 8 8 nan
nan 10 9 9 11 13 13 13 13 12 10 7 7 7 8 9 11 13 12 10 10 12 13 13 12 11 11 12 12 11 9 8 7 7 5 3 1 0 2 4 7 10 12 13 15 16 15 13 10 6 3 2 5 8 11 13 14 13 12 10 10 9 8 6 4 3 3 5 6 7 7 7 7 7 8 8 8 8 7 7 6 6 6 5 6 7 8 9 11 12 13 12 11 9 9 11 14 16 17 17 16 13 10 8 7 7 7 7 7 6 5 6 8 9 11 13 14 14 13 12 11 11 11 12 12 12 12 10 10 10 10 10 9 9 8 8 7 7 7 8 9 11 11 10 8 6 5 5 6 8 10 12 11 7 3 0 1 3 5 7 9 10 11 11 12 13 13 12 11 10 9 10 11 12 13 13 13 13 14 16 16 16 14 13 11 10 8 8 8 8 nan
nan 11 10 10 13 15 16 16 16 14 11 8 8 9 10 12 13 13 12 10 9 9 11 11 11 9 9 11 11 11 9 8 7 5 4 4 4 5 7 8 9 9 8 9 10 13 14 14 12 8 4 2 3 7 11 14 16 16 16 15 13 12 9 7 5 3 3 5 6 6 6 6 6 7 8 8 7 7 7 7 7 6 6 5 4 4 5 7 10 12 14 14 11 8 7 10 14 17 18 18 15 12 10 9 9 8 7 7 6 5 4 5 6 8 10 12 14 15 14 12 11 10 10 11 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 11 11 10 9 7 7 7 8 10 11 10 8 4 1 0 2 4 7 9 11 11 11 12 13 13 13 12 11 10 9 10 11 12 12 12 12 12 14 14 15 14 13 12 10 9 8 8 9 9 nan
nan 9 8 9 11 15 16 16 15 13 10 9 10 12 13 13 13 12 10 9 7 7 8 10 10 9 8 9 10 10 10 8 6 5 4 5 8 11 13 14 13 10 7 5 6 9 13 15 15 12 8 5 5 8 11 15 17 18 18 17 15 14 11 9 8 6 6 7 8 7 7 6 6 7 7 7 7 7 8 8 8 7 6 4 3 1 1 4 7 10 13 14 12 8 7 9 13 16 18 17 14 10 8 8 9 8 8 7 6 5 4 4 6 7 10 12 14 14 13 12 11 11 10 9 8 8 7 8 10 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 9 8 7 7 9 10 10 9 6 3 2 3 6 8 11 14 14 14 13 13 13 13 13 12 11 10 10 10 11 11 11 11 11 12 13 13 13 13 12 11 10 9 9 9 9 10 nan
nan 7 6 6 8 11 13 13 12 10 8 10 12 14 14 13 12 10 9 7 6 6 7 10 11 10 7 7 9 10 10 9 7 5 4 5 8 11 15 16 15 11 7 4 4 7 11 15 16 15 11 8 7 9 12 15 17 18 18 18 16 15 13 11 10 9 9 11 12 11 9 8 7 7 8 7 7 7 7 7 7 7 6 5 3 1 0 2 5 8 11 13 12 9 8 9 13 16 18 17 13 10 8 8 9 9 8 7 6 4 3 4 6 8 10 11 12 12 11 11 11 11 10 9 7 6 6 8 10 11 12 11 10 9 8 7 8 8 8 8 9 9 10 10 9 7 6 6 8 10 10 9 6 5 5 7 9 13 16 18 18 16 14 13 12 12 12 12 12 11 10 10 10 10 11 11 11 12 13 13 13 13 12 11 10 9 9 9 10 10 nan
nan 6 6 6 7 8 9 9 8 7 7 9 12 14 14 13 10 9 7 7 5 5 6 9 12 11 8 7 9 11 11 10 8 6 5 5 6 9 12 14 15 13 10 6 5 6 9 13 15 14 10 8 7 9 11 14 15 16 16 16 15 14 13 12 11 11 11 13 14 14 12 11 10 9 8 7 6 5 5 5 5 6 6 6 5 4 3 3 4 6 8 10 10 10 9 10 12 15 17 16 14 11 10 9 10 10 10 8 5 2 1 2 5 7 8 9 9 10 10 11 11 10 9 7 6 6 6 8 10 11 12 11 9 7 6 5 5 6 7 8 9 10 10 9 7 6 5 5 7 9 10 8 5 5 7 10 13 16 18 19 18 16 14 12 11 11 11 12 12 11 10 10 9 10 10 11 11 13 13 14 14 13 13 11 10 9 9 9 10 10 nan
nan 8 9 9 9 8 7 7 6 5 6 8 11 12 12 12 10 9 7 6 5 5 5 7 10 10 8 7 8 10 11 10 9 7 5 5 5 7 9 11 14 15 13 11 8 7 8 10 11 10 7 5 6 7 9 11 12 13 13 12 11 10 9 9 10 11 13 14 15 15 15 13 12 11 9 8 7 6 6 6 7 7 8 8 8 7 6 5 4 5 6 7 8 9 9 10 12 13 15 15 13 12 11 10 11 12 11 9 6 1 -1 -0 2 4 6 7 8 9 10 11 10 9 7 6 5 6 7 8 10 11 12 11 9 7 5 5 5 6 8 9 11 11 10 9 7 6 5 6 7 8 7 5 3 4 7 11 15 17 17 16 14 13 12 11 10 10 10 10 11 11 10 10 10 10 10 11 12 13 14 14 14 13 12 11 10 9 9 9 9 9 nan
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nan 14 14 13 13 14 12 9 6 5 7 9 10 10 11 11 11 10 9 8 7 6 6 7 9 9 9 8 7 7 7 7 5 4 4 3 3 4 4 6 8 11 14 15 15 15 13 10 9 7 4 4 5 6 7 7 8 7 7 5 3 2 2 3 5 7 9 10 10 10 11 12 13 14 14 14 15 15 17 17 17 17 16 15 14 13 12 10 8 6 5 5 5 6 7 8 9 10 11 12 13 13 11 9 8 9 9 9 8 5 2 0 -0 1 5 8 11 12 12 12 10 8 7 7 10 12 13 15 16 17 16 15 13 11 10 10 10 10 10 10 11 12 11 10 10 10 10 9 7 3 1 2 4 7 9 10 11 11 10 8 8 7 8 8 8 8 8 9 10 11 11 11 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 10 10 10 nan
nan 14 13 13 14 15 14 11 8 7 8 11 12 11 11 11 11 11 10 9 8 8 9 10 11 11 11 10 9 9 8 8 7 5 5 5 3 2 2 2 3 7 10 13 15 16 16 15 12 9 7 6 6 7 7 6 6 5 4 3 2 1 1 1 3 6 7 8 7 7 9 11 13 14 15 16 16 16 17 17 18 17 17 17 17 16 16 14 12 10 9 6 5 5 6 7 9 12 13 15 16 15 13 10 8 8 8 9 8 7 5 3 1 2 5 10 13 14 13 12 11 9 8 9 12 15 18 21 22 22 19 16 13 12 11 10 10 9 8 8 9 10 10 11 11 11 11 9 5 1 1 3 5 8 10 11 11 11 9 7 6 5 5 5 6 7 8 9 10 11 12 12 13 13 13 13 13 13 13 12 12 11 11 12 12 12 12 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
31 31 33 37 46 53 55 73 95 121 144 153 144 135 143 168 194 211 221 229 232 226 239 252 259 265 268 267 260 245 224 202 184 174 169 165 163 162 161 155 153 147 142 138 136 138 141 146 147 146 143 140 139 138 135 135 138 138 125 102 82 66 63 69 76 101 90 63 53 52 52 52 47 38 24 9 1 0 0 0 0 0 0 0 3 53 168 230 249 269 244 148 61 71 234 274 134 32 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
48 48 50 54 60 62 63 69 84 103 125 145 153 153 155 170 192 207 216 220 218 221 238 249 262 271 275 280 276 263 246 227 209 195 184 172 161 151 146 145 144 136 135 137 140 143 146 148 148 147 144 144 145 144 143 144 145 143 136 117 87 73 70 73 100 124 88 66 58 56 54 50 42 31 19 6 0 0 0 0 0 0 0 0 6 44 166 238 264 299 268 162 69 79 205 274 138 33 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
75 75 75 74 75 79 79 76 79 85 97 112 133 142 144 159 180 199 215 228 231 237 252 265 281 287 293 298 293 280 265 248 231 216 205 193 179 163 150 138 135 135 138 139 145 150 145 141 140 140 139 141 146 149 151 153 153 150 139 113 80 84 89 95 133 140 96 76 69 62 57 49 39 26 14 4 0 0 0 0 0 0 0 0 2 34 142 229 264 317 285 175 84 94 190 248 153 35 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
116 115 111 104 98 97 91 84 81 70 77 80 99 116 133 147 154 164 183 215 251 273 286 297 306 309 311 315 312 301 285 267 249 233 221 214 206 194 182 170 166 164 160 152 149 153 138 139 138 132 128 128 140 158 165 164 162 155 137 112 100 108 111 127 149 134 108 91 77 66 55 43 31 18 6 0 0 0 0 0 0 0 0 0 0 32 120 208 266 327 312 200 101 107 192 241 169 41 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0
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219 207 194 192 208 232 254 268 265 263 268 279 310 339 365 366 336 295 253 243 295 304 281 261 260 282 300 279 241 221 201 144 109 96 91 92 97 101 93 81 79 78 70 55 42 27 23 31 32 22 7 0 0 0 0 15 41 56 37 19 16 26 53 104 174 213 213 201 198 192 178 167 172 188 201 208 214 214 193 174 199 222 229 221 205 192 184 177 166 151 138 129 123 119 128 139 141 126 96 71 63 61 72 92 101 80 45 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
217 214 206 204 213 229 245 254 245 228 233 253 280 296 310 317 289 252 248 292 346 309 267 252 261 280 297 275 218 227 249 222 165 127 107 87 74 69 63 53 63 69 69 58 40 28 33 76 84 54 19 2 0 0 1 40 92 117 98 66 54 64 87 122 167 202 205 170 167 168 169 172 176 170 150 139 150 170 181 173 202 229 231 216 199 188 182 177 163 148 133 124 121 119 135 139 136 118 89 65 60 65 91 107 104 78 38 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
201 207 205 205 212 226 241 251 255 234 228 239 257 279 302 307 271 243 266 322 341 266 245 247 247 246 249 262 251 282 323 327 280 220 170 114 72 50 40 36 50 68 69 61 44 29 32 73 112 93 45 10 0 1 5 92 156 178 160 125 92 80 90 113 144 168 168 149 148 146 156 173 182 163 117 89 102 145 180 190 208 226 221 200 180 170 169 167 155 139 124 119 121 124 141 137 116 93 74 65 69 79 101 106 101 72 30 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
178 188 192 195 203 218 235 244 240 222 214 219 232 245 256 268 262 244 287 329 327 275 221 217 203 184 182 207 241 281 337 352 296 207 133 86 51 28 21 23 37 62 66 65 47 28 26 54 115 131 74 22 2 5 29 144 215 232 210 169 128 100 98 123 153 171 170 159 151 140 144 168 183 165 115 77 91 145 185 198 202 203 194 174 158 152 155 158 151 130 118 120 129 137 142 131 109 87 74 71 75 83 97 99 83 51 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
150 159 166 175 186 205 226 238 238 233 226 216 213 220 230 235 237 237 285 317 286 224 185 179 162 138 127 133 163 218 312 305 216 123 62 35 20 10 10 17 32 54 67 69 43 22 19 46 104 153 112 40 7 10 51 146 231 277 266 223 177 145 137 157 188 206 202 184 166 149 150 170 184 170 128 91 99 159 190 198 191 178 161 146 140 142 149 153 146 129 119 129 140 145 140 125 107 91 79 73 74 79 80 66 47 25 9 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 0 0 0 0 0 0 0 0 0 0 0 0
127 133 141 152 168 190 215 226 226 222 222 220 210 204 204 204 205 216 257 293 253 210 176 155 137 117 103 98 124 196 282 242 146 86 51 33 24 17 13 16 28 51 70 66 36 17 19 48 104 155 152 68 15 10 49 125 217 312 325 291 245 206 185 191 223 230 217 195 172 154 162 179 185 169 131 95 101 163 193 199 186 162 134 117 120 132 140 142 137 128 124 141 149 148 138 120 100 83 73 68 68 73 73 49 31 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
115 120 126 136 151 171 193 209 215 217 218 217 211 202 192 184 183 200 234 261 218 188 165 144 126 110 98 107 157 216 231 166 102 73 54 43 38 33 25 25 30 56 68 63 50 37 47 82 131 168 162 92 13 10 47 130 238 328 354 326 288 251 227 224 242 222 212 199 181 170 179 195 190 164 117 84 95 155 194 204 190 158 122 99 100 116 128 133 130 129 135 149 150 142 127 108 89 71 61 60 60 60 49 23 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
113 114 115 118 124 139 160 181 200 209 209 208 202 192 178 170 178 198 214 215 198 182 158 140 126 115 116 140 193 207 173 120 85 64 47 37 34 32 32 35 39 71 78 83 87 83 88 116 153 169 146 86 20 17 65 180 273 317 319 299 273 248 239 239 239 217 226 224 211 202 204 208 198 160 107 76 93 146 189 205 192 160 124 97 86 93 112 124 127 133 144 152 149 135 116 95 73 53 42 43 44 35 21 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
106 106 106 105 107 116 131 150 168 179 190 192 186 178 173 176 183 179 186 183 173 163 147 138 127 123 132 155 180 172 144 109 78 53 33 23 20 21 30 46 69 121 152 161 156 148 143 137 140 149 137 102 66 56 103 203 266 288 283 266 244 221 215 227 238 240 251 238 221 215 215 211 192 153 106 80 101 145 182 198 185 161 133 106 87 83 98 111 125 139 147 147 138 121 101 81 61 46 36 31 27 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
91 93 94 94 95 100 111 124 136 149 162 159 159 163 164 163 159 149 153 149 143 136 136 134 121 121 131 144 149 144 128 93 59 32 15 9 10 15 30 64 123 203 261 249 231 226 227 215 190 185 190 170 148 150 194 275 303 296 281 263 241 216 213 230 254 261 250 229 212 208 206 199 178 146 112 93 120 156 182 188 177 161 141 116 96 90 99 111 136 151 150 137 117 93 72 59 48 39 34 31 24 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
81 82 81 80 81 86 94 103 113 121 129 132 139 143 135 130 128 129 122 112 120 126 125 118 108 113 126 130 125 111 92 54 28 11 4 4 6 11 33 85 170 253 280 249 244 254 266 269 257 239 251 232 223 261 332 396 366 320 297 280 259 233 227 255 265 253 236 227 222 216 204 189 170 149 131 115 151 178 189 189 180 167 148 125 109 105 115 134 153 155 143 121 94 68 50 45 44 42 40 35 25 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
68 72 71 71 72 76 81 85 94 99 103 103 99 85 60 55 85 109 105 101 118 116 112 106 101 107 116 110 95 72 46 19 9 5 3 3 5 10 29 84 168 243 259 227 217 228 230 225 226 235 256 251 254 327 410 440 391 344 337 330 305 269 247 266 247 237 234 233 228 216 196 177 160 147 142 147 177 195 197 189 179 168 154 138 131 132 142 157 166 157 130 97 68 47 36 35 42 40 31 24 17 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
58 62 63 63 65 68 70 74 79 74 66 51 37 29 36 60 88 99 99 103 114 109 105 103 102 101 98 81 61 36 17 7 5 5 4 4 5 10 26 62 122 234 262 225 193 196 194 176 168 193 227 238 263 353 420 425 389 370 383 380 343 294 257 240 226 222 239 235 212 180 155 142 133 128 136 151 167 179 172 160 153 153 156 156 160 162 157 154 146 127 98 66 44 34 32 31 25 17 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49 53 55 56 56 58 60 63 65 57 27 16 17 38 73 101 100 88 83 88 99 108 119 119 106 89 70 50 31 14 7 4 3 4 6 6 7 15 31 56 88 231 248 205 163 150 150 150 170 211 229 231 270 349 396 388 375 380 396 387 331 267 225 205 196 190 230 222 177 128 102 102 108 118 132 143 149 153 142 124 121 132 150 166 172 166 136 107 85 67 48 30 20 15 13 15 23 31 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 43 45 47 49 50 50 51 50 38 12 4 31 75 106 110 83 52 50 57 83 115 136 140 108 73 47 29 15 6 6 4 3 3 4 6 9 21 43 67 86 140 182 148 123 112 113 132 196 278 298 293 308 349 382 360 357 373 382 351 275 195 165 143 145 176 211 192 133 85 75 99 129 146 149 148 145 141 128 102 87 102 134 159 156 130 90 53 34 26 17 9 6 5 5 6 11 23 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 36 37 36 37 39 40 41 43 37 21 7 28 72 89 73 40 22 28 46 90 136 157 135 90 51 28 16 10 6 6 4 3 2 2 4 8 20 54 96 73 32 131 87 118 143 155 182 257 369 415 417 402 387 368 319 324 347 343 290 199 117 107 92 117 160 176 141 87 72 101 141 161 160 149 134 120 113 107 86 61 72 113 141 134 96 56 37 22 11 5 2 1 1 6 27 49 52 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 34 36 32 28 28 29 31 37 41 29 15 18 39 50 42 28 25 39 69 121 144 132 92 53 25 14 9 7 7 6 4 3 2 2 2 5 18 66 145 80 71 149 98 201 256 284 319 375 450 514 493 443 382 318 268 283 314 293 229 147 85 77 87 126 137 116 83 68 105 155 167 140 109 99 85 72 75 85 87 74 70 102 121 105 64 24 17 16 10 3 0 0 2 13 57 73 52 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 31 30 25 21 21 21 23 31 35 23 17 25 39 50 58 68 88 112 129 99 66 41 23 12 7 5 6 6 5 4 3 2 1 1 7 28 80 167 55 100 141 142 298 311 327 401 456 475 479 398 341 292 263 263 286 296 256 198 142 110 111 123 120 95 69 66 99 156 175 146 87 48 47 49 46 52 69 90 102 103 110 107 77 38 10 5 7 4 1 0 1 4 17 78 92 57 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 14 23 27 26 22 18 16 15 16 23 18 16 19 29 49 83 114 131 119 84 41 22 15 11 8 6 5 6 6 5 4 2 1 1 2 11 33 65 94 11 63 60 136 265 234 206 317 362 365 339 257 224 232 264 295 306 285 237 196 171 160 154 138 115 95 85 98 132 163 150 93 44 31 41 52 52 44 45 57 77 98 115 107 64 26 6 1 1 0 0 0 0 4 19 75 76 41 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 10 16 21 21 19 16 14 12 11 13 12 10 12 20 40 75 113 116 74 36 17 13 11 10 9 7 6 6 6 5 3 2 1 2 5 17 32 37 25 2 4 8 84 146 144 149 254 277 278 249 199 191 230 286 308 294 255 215 199 197 192 179 164 156 153 140 129 126 119 94 52 31 49 64 68 62 41 22 17 26 49 73 77 42 19 6 1 0 0 0 0 0 1 11 36 25 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 8 11 15 17 17 15 12 9 7 5 8 8 10 18 36 58 77 71 30 13 10 11 12 11 10 9 8 6 6 6 3 2 5 10 20 32 34 25 16 8 5 10 55 112 168 229 298 308 268 212 191 213 258 300 286 248 215 200 201 204 196 189 190 196 189 157 116 85 62 45 38 43 80 85 76 58 34 11 5 7 15 23 24 11 5 2 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 8 9 11 14 15 14 11 9 11 15 17 18 17 22 36 49 53 39 12 8 9 11 12 12 11 10 9 7 6 5 3 2 14 29 40 42 31 23 24 20 15 27 80 186 265 303 305 272 225 189 213 255 285 287 247 205 191 195 202 198 185 182 184 179 153 114 75 54 44 37 40 61 95 84 64 42 22 8 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 9 9 8 11 13 13 13 15 20 27 32 32 31 34 47 56 50 31 11 9 12 14 14 13 12 10 8 7 5 4 4 4 21 37 39 29 19 20 36 32 34 64 133 216 254 241 205 178 189 227 279 295 283 250 206 180 189 203 204 188 162 142 126 106 84 64 50 50 55 52 57 72 85 63 40 24 13 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 9 8 8 10 13 13 12 15 25 42 50 48 49 57 67 72 60 34 15 13 17 19 19 18 15 12 9 6 5 4 6 12 24 38 37 23 11 16 37 34 44 75 113 142 143 115 102 136 209 281 305 277 241 209 189 189 206 209 196 163 121 86 58 43 40 44 51 63 73 69 71 74 66 39 22 15 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 8 7 9 11 12 10 12 21 38 53 53 64 79 90 88 71 40 25 23 26 28 28 23 19 15 11 8 6 7 14 26 36 40 33 19 8 11 25 26 42 59 78 89 82 64 87 166 239 269 249 208 192 191 199 210 213 186 158 125 86 52 27 20 26 39 54 67 74 68 67 60 45 27 15 10 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 7 7 8 9 10 9 8 12 23 38 44 62 85 99 95 71 41 34 38 41 39 33 25 21 18 15 11 10 12 27 42 45 36 23 10 5 8 18 29 46 66 76 76 71 75 108 181 204 201 183 157 166 185 193 187 161 121 95 85 67 45 25 18 19 26 37 47 49 43 44 38 28 18 10 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 8 7 7 7 8 7 7 8 10 16 26 43 64 78 76 59 40 39 49 51 43 31 22 20 21 19 17 16 18 38 49 40 23 10 5 7 14 24 45 73 104 100 91 88 100 132 170 171 158 145 142 154 161 152 130 99 73 67 76 69 53 35 21 13 10 13 18 18 15 16 17 13 8 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 7 7 7 7 8 8 8 6 7 12 21 32 41 44 40 37 42 51 51 41 29 22 22 26 25 23 20 23 41 50 31 14 6 8 12 20 35 73 114 141 138 121 116 122 133 133 106 98 113 126 130 120 101 84 72 74 85 94 82 63 44 26 12 5 4 4 3 1 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 8 7 7 5 5 6 7 6 4 4 5 7 10 14 19 23 29 36 42 43 34 27 24 26 31 31 25 20 26 41 49 31 15 10 10 14 22 45 98 134 147 141 121 113 117 119 109 86 79 92 98 92 78 65 63 75 100 112 104 80 58 43 30 18 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 8 7 7 6 4 3 4 4 3 3 3 4 3 2 5 10 18 22 26 28 28 24 21 25 30 33 31 22 20 27 41 47 35 18 12 14 21 36 64 102 118 118 108 95 90 98 101 98 89 80 76 69 60 53 51 61 83 115 109 88 65 45 34 28 19 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 6 5 4 3 2 2 2 2 2 2 3 2 1 2 6 12 13 16 16 16 15 18 26 33 33 28 22 26 32 41 43 35 25 19 26 45 60 73 84 80 74 72 76 84 95 94 92 87 78 68 58 55 57 66 79 94 103 89 67 45 29 23 21 14 7 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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