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 14 11 8 6 5 7 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 9 10 11 11 11 10 9 9 9 8 8 9 9 10 10 9 9 9 11 15 17 15 8 3 4 7 9 9 9 10 10 13 17 20 21 19 16 14 12 11 10 9 9 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 14 12 9 6 5 6 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 7 7 6 6 7 7 7 7 8 9 10 10 10 10 10 9 9 10 10 10 10 9 9 10 11 14 15 13 7 3 5 8 9 9 9 10 12 15 18 19 18 17 16 15 13 11 10 9 9 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 nan
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nan 12 13 14 16 17 18 18 17 16 15 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 8 9 9 9 8 8 8 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 10 11 12 12 12 12 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 10 8 7 6 6 7 11 16 21 25 27 28 28 27 26 24 22 19 16 12 8 3 -1 -4 -5 -5 -3 -0 1 1 1 1 nan
nan 12 12 14 16 17 18 18 17 16 15 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 4 3 4 7 12 17 21 24 26 28 29 30 30 30 29 29 29 26 23 18 11 6 1 -3 -6 -6 -7 -8 -9 -10 nan
nan 12 12 14 16 17 18 18 17 16 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 5 5 5 8 11 14 16 17 18 19 21 22 25 26 28 29 31 32 31 29 26 21 18 13 7 2 -1 -4 -7 -11 -13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
256 247 243 240 232 220 203 186 173 163 157 150 142 130 113 94 78 66 59 50 44 44 45 45 45 44 43 41 40 41 44 47 48 55 73 99 125 138 143 143 140 136 134 144 157 162 152 138 134 142 163 192 209 168 92 37 10 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 1 1 1 2 3 4 5 7 10 12 15 16 17 19 23 26 29 33 40 45 47 45 50 54
264 253 246 238 230 220 208 196 187 181 175 168 160 149 133 115 97 82 73 60 56 55 55 56 59 60 58 54 50 48 49 52 52 59 76 95 114 126 134 141 143 138 136 145 161 174 174 168 162 159 172 201 219 154 69 18 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 2 3 3 4 5 5 7 8 10 13 14 16 16 19 23 26 26 30 37 42 45 46 49 53 57
274 262 253 247 239 227 214 206 200 196 191 184 175 164 150 135 117 98 89 79 72 69 67 68 69 71 71 70 69 68 68 68 67 68 76 92 107 116 124 134 139 135 131 136 150 165 178 188 193 192 196 217 220 159 70 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 5 6 6 7 8 10 12 15 15 16 18 22 26 27 27 31 37 41 43 45 50 55 59
286 275 265 257 247 235 225 217 211 207 203 196 188 178 167 153 136 119 108 98 91 86 83 88 89 91 92 94 97 99 99 93 85 79 76 87 98 106 114 120 120 121 122 126 134 145 164 191 214 227 231 239 228 170 82 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 5 6 6 7 8 10 10 11 15 16 17 18 21 26 29 29 29 32 38 40 42 44 49 55 59
293 286 277 267 256 244 235 228 223 218 211 205 198 189 179 168 155 141 130 122 116 112 109 113 118 122 125 125 124 123 118 110 102 93 85 86 91 98 104 109 104 107 116 125 130 133 148 176 209 237 254 259 247 182 89 19 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 1 2 3 3 4 5 6 7 7 9 11 11 11 13 16 17 18 20 24 28 30 30 30 33 37 39 41 42 46 53 57
303 295 286 275 264 253 243 237 232 226 220 213 205 197 189 181 172 162 153 147 143 141 138 139 142 148 152 149 143 137 129 122 115 105 96 92 91 91 90 96 91 95 109 125 138 136 144 164 193 226 257 272 253 182 79 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 1 1 2 3 4 6 7 8 8 9 11 12 12 13 15 17 19 20 23 26 29 30 30 30 34 37 39 39 40 45 50 55
307 299 289 279 269 256 246 239 234 229 223 214 206 199 193 187 181 175 170 166 163 161 157 157 158 161 164 163 159 153 145 136 128 117 108 100 94 86 80 81 80 83 95 117 134 137 141 153 174 203 241 261 235 157 51 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 6 7 8 9 10 11 12 13 14 15 17 19 21 22 25 28 30 31 30 31 34 36 38 39 40 43 47 52
311 299 287 277 264 252 242 235 230 226 219 212 205 199 194 190 185 181 177 173 171 169 166 165 166 169 173 176 174 168 160 151 141 129 117 107 99 94 85 80 77 77 84 106 123 129 131 137 148 171 206 226 202 119 24 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 1 3 3 4 5 7 8 9 10 12 13 13 16 16 17 19 20 22 25 26 28 29 32 30 31 33 35 37 39 40 43 46 49
314 297 283 270 257 245 234 226 220 215 209 204 198 194 191 186 182 178 175 172 171 171 169 168 169 172 177 180 181 178 172 166 156 142 128 115 105 100 94 89 86 88 93 111 124 128 125 119 121 136 163 182 162 66 14 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 1 2 4 5 5 7 8 10 11 12 14 16 18 19 19 19 20 21 22 24 26 27 29 30 31 31 32 34 36 38 40 42 46 49
320 296 278 262 247 234 223 214 205 198 193 188 185 183 183 179 174 170 168 167 168 168 168 168 169 171 174 178 181 181 178 175 169 157 142 127 115 107 102 102 104 111 120 131 139 142 136 120 111 115 129 139 111 32 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 5 6 7 8 10 12 14 15 16 17 18 19 20 19 20 22 23 25 26 27 29 30 30 31 30 33 35 38 40 43 47 51
319 291 267 249 233 220 209 201 191 182 176 172 169 166 169 167 164 162 161 162 163 164 164 165 167 169 171 175 180 181 181 179 177 171 158 143 128 116 112 116 123 132 140 145 150 155 152 138 123 116 116 108 51 15 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 1 2 3 2 4 6 7 7 9 11 14 16 16 15 16 17 18 20 19 20 22 24 25 27 27 27 28 29 28 29 32 35 39 41 44 47 52
316 283 255 235 220 208 197 189 179 170 162 157 156 153 153 151 150 150 152 155 157 159 160 162 164 167 170 173 177 179 178 178 179 177 168 157 144 133 127 128 134 139 142 144 147 156 159 153 140 129 116 79 28 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 3 4 5 7 8 8 9 11 15 16 16 15 15 16 18 18 19 20 22 23 25 26 26 26 25 27 27 28 32 37 41 44 47 49 51
321 285 253 229 212 198 187 179 169 159 150 144 141 138 136 134 134 137 140 143 145 148 151 156 158 163 167 171 174 175 174 174 174 173 171 164 154 144 138 138 142 146 149 150 148 154 158 154 145 134 114 60 19 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 1 2 2 4 4 5 6 8 10 11 12 14 16 17 17 17 17 17 17 17 18 20 21 23 24 24 24 24 25 26 27 29 34 38 42 45 48 51 52
331 295 259 229 208 191 180 172 163 154 145 138 133 129 126 123 122 126 127 129 131 135 141 148 152 155 157 160 164 167 167 165 164 165 166 165 160 155 149 148 148 149 152 157 158 156 152 144 133 123 96 48 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 4 4 5 6 8 10 10 12 14 14 16 18 19 19 17 16 17 18 20 21 22 22 22 22 23 24 27 29 31 36 39 43 46 49 51 53
341 308 270 236 209 189 176 168 159 151 143 136 129 124 120 117 115 117 117 119 121 124 129 134 139 143 146 147 152 155 156 156 155 156 160 163 163 159 156 152 147 144 145 151 155 151 143 134 122 112 89 43 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 3 4 5 6 7 8 10 11 11 11 13 15 17 17 18 18 18 20 19 20 21 21 21 21 21 22 24 27 29 33 37 42 46 50 51 53 54
353 323 287 250 218 195 178 165 155 145 138 132 126 119 113 109 108 109 110 113 116 115 121 126 131 135 139 139 142 145 147 148 148 150 156 160 161 159 155 149 140 131 127 129 132 131 128 122 114 107 90 51 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 1 2 2 3 3 3 4 5 6 7 8 9 10 10 11 12 14 15 16 17 18 21 22 21 20 19 20 22 21 21 23 26 29 31 36 41 45 49 52 54 55 56
365 340 308 272 238 211 190 172 157 144 135 129 123 116 109 104 101 102 106 110 113 115 119 124 129 131 134 135 137 139 140 140 141 143 147 150 151 147 140 131 119 107 102 98 98 100 103 103 101 103 90 57 17 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 1 2 3 3 3 3 5 5 6 7 9 8 9 10 10 10 11 12 13 15 18 21 21 19 16 14 19 20 21 22 24 27 30 34 38 44 49 52 56 58 59 59
375 356 330 298 262 235 211 190 171 154 140 130 122 114 106 100 97 100 106 111 115 119 122 125 126 127 128 130 132 134 134 131 130 129 129 128 125 119 112 104 94 86 81 77 76 76 78 83 87 95 83 45 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 1 1 2 3 3 3 3 3 4 5 5 6 8 8 9 9 9 8 9 12 13 15 17 18 18 16 15 19 20 20 22 24 27 30 33 36 40 46 51 56 59 60 61 62
381 368 348 324 290 263 239 215 192 170 151 137 126 116 107 101 99 103 110 117 123 127 128 127 125 124 123 122 123 123 122 118 114 111 109 106 101 95 89 84 78 74 69 65 62 61 62 66 73 75 58 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 4 4 4 4 5 5 5 5 6 6 6 5 6 6 8 11 13 14 15 15 15 16 16 19 20 22 24 28 30 32 35 37 41 48 53 58 60 61 61 61
385 375 361 341 315 290 266 241 217 190 168 150 135 123 116 109 106 109 115 122 129 133 134 131 126 122 117 114 111 111 111 109 104 99 96 92 86 81 76 69 65 63 60 57 54 51 52 53 57 54 37 6 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 1 1 1 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 7 8 9 12 14 14 14 16 18 20 22 25 29 32 33 35 38 39 42 47 52 56 59 58 57 57
386 380 369 353 333 312 290 267 243 215 190 169 150 136 129 124 121 121 123 129 135 139 138 133 125 120 114 109 106 104 105 103 99 95 90 85 80 74 67 57 51 46 44 44 44 39 38 38 38 33 18 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 1 1 1 2 2 2 2 2 2 3 4 4 3 4 4 3 3 4 3 3 5 6 10 14 15 15 18 21 23 25 30 33 36 36 37 41 41 42 44 47 50 50 51 53 54
386 381 373 360 345 328 310 289 266 240 216 192 169 154 145 140 139 139 140 142 144 143 140 135 127 120 114 108 102 101 103 104 101 94 88 81 73 66 58 50 44 39 34 30 29 24 21 20 19 16 6 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 1 1 1 2 2 2 2 2 3 3 3 3 2 2 3 3 2 2 2 3 4 5 9 14 15 17 19 23 27 31 35 37 39 40 41 42 42 41 40 41 42 45 47 49 53
387 383 376 366 355 343 327 308 286 262 239 215 191 174 163 157 156 160 162 161 158 154 149 139 130 122 112 103 97 97 97 98 98 94 85 75 66 59 52 46 38 30 23 19 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 6 9 12 15 17 19 22 25 32 37 41 42 42 42 42 42 41 39 38 38 39 41 44 48 52
390 387 380 372 362 351 339 322 303 282 260 238 216 196 181 171 168 173 176 175 173 167 159 146 134 122 111 101 93 89 88 90 91 86 77 67 58 51 48 41 31 22 16 10 5 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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 4 7 11 13 15 19 23 28 31 37 43 46 48 47 46 44 42 41 40 39 38 39 40 43 49 53
390 391 386 378 367 356 345 331 316 298 277 254 232 214 200 191 184 183 186 188 188 184 176 159 142 125 109 98 89 84 83 84 84 78 70 59 49 43 40 35 27 17 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 1 1 1 1 1 2 2 3 3 4 5 7 10 12 14 17 22 28 33 37 43 48 49 50 48 47 45 42 42 41 40 40 40 41 44 49 53
384 387 385 379 371 361 351 339 326 310 292 274 257 243 228 213 207 207 206 208 209 205 195 179 158 136 113 96 87 83 82 82 80 72 63 53 43 37 35 30 22 12 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 1 2 3 4 6 7 9 12 14 15 17 21 26 31 36 41 47 50 50 49 48 46 43 40 39 39 40 41 42 44 47 50 53
369 374 378 378 373 363 354 345 336 325 310 295 282 265 238 202 188 197 214 226 221 214 206 195 179 157 132 110 93 85 83 80 74 65 55 46 36 31 27 21 13 6 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 2 3 6 8 10 12 12 15 17 18 20 25 30 34 38 43 47 49 48 46 43 39 37 35 35 37 39 41 43 45 46 47 48
362 368 372 374 373 363 360 356 348 334 325 311 282 246 219 205 191 183 191 210 211 204 195 192 196 181 162 139 117 98 88 78 67 58 51 45 32 24 16 9 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 1 3 6 9 11 13 15 16 18 20 22 25 30 33 34 36 40 44 45 44 42 38 35 33 33 34 36 38 40 41 42 44 43 43
363 368 372 374 377 369 369 366 360 359 352 331 314 312 318 265 219 192 189 208 212 202 187 177 176 179 179 168 143 109 92 78 66 55 42 30 19 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 15 18 21 23 25 27 32 35 37 37 37 39 41 41 39 37 35 34 33 33 34 36 38 38 38 39 40 40 40
369 375 378 378 381 381 382 380 374 365 352 342 327 292 234 227 212 194 181 183 185 177 172 173 165 157 154 153 148 123 104 88 75 62 45 28 15 5 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 1 1 3 5 9 12 13 14 16 20 24 27 29 32 37 39 39 40 39 40 40 40 40 39 36 34 33 32 32 31 32 33 33 32 31 30 31
369 378 385 387 388 391 394 393 378 381 379 365 348 359 375 292 226 196 180 169 160 154 151 149 142 140 139 135 130 117 100 85 75 70 55 40 23 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 16 16 18 22 26 29 31 36 40 41 42 41 41 40 39 39 37 35 33 31 29 27 25 25 26 26 25 25 24 23 23
359 370 379 385 388 390 394 398 382 363 323 277 244 243 181 156 158 169 172 161 145 129 116 105 108 136 144 125 116 105 91 77 64 57 52 49 37 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 17 18 20 24 28 31 33 37 41 43 44 43 41 39 37 34 31 29 27 25 24 23 22 22 22 22 21 20 21 21 20
343 355 367 376 383 387 390 392 381 359 328 291 248 212 174 149 135 126 126 116 106 102 101 80 73 74 81 86 92 89 84 77 65 52 43 41 41 32 15 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 1 2 3 5 7 9 12 14 16 17 18 21 25 28 30 32 35 38 40 40 40 38 36 33 29 25 24 22 21 20 20 20 21 20 19 18 18 17 18 17
322 337 352 362 371 379 382 378 368 354 339 321 295 262 228 198 173 137 116 94 71 50 37 45 48 51 60 69 64 63 64 65 64 53 37 26 23 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 1 1 1 2 3 4 5 7 8 10 12 14 17 19 21 24 27 30 31 32 34 35 34 34 33 31 29 27 24 22 20 19 19 18 16 16 16 15 15 15 14 14 15
299 320 338 348 356 363 365 357 347 336 327 320 310 289 264 241 222 190 162 132 94 46 20 18 23 26 26 23 23 26 33 40 41 40 33 23 16 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 1 2 2 2 3 4 5 6 7 8 10 12 15 18 19 22 24 27 30 31 33 33 32 30 29 27 26 24 22 19 18 17 15 13 13 12 12 12 12 13 13 14 15
286 308 327 339 347 354 355 343 329 318 311 304 304 292 267 237 208 196 187 172 145 103 55 24 10 8 8 9 8 8 13 19 22 22 18 15 13 9 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 1 1 2 3 3 4 5 5 7 8 10 12 13 15 17 20 22 24 26 27 27 27 26 25 23 21 20 17 17 16 14 13 13 12 12 11 11 12 12 13 14 14
273 297 319 335 346 356 362 347 328 310 297 294 289 261 221 183 164 167 177 181 167 139 98 55 19 2 2 1 1 1 3 4 5 6 7 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 5 6 7 9 10 12 13 16 17 19 20 20 20 20 20 19 18 17 16 15 15 14 15 13 11 10 10 10 10 10 10 11 12 13
251 278 304 329 349 361 370 358 338 319 301 284 251 217 188 157 141 141 153 165 156 140 117 82 40 15 7 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 2 3 3 4 5 6 7 8 10 12 14 15 16 17 17 17 17 16 17 16 14 14 13 13 11 10 10 9 9 10 10 10 10 11 13
217 247 277 310 343 361 371 371 364 353 336 313 277 237 200 165 138 127 131 142 136 120 105 87 54 29 13 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 0 1 1 1 1 1 1 1 1 1 1 2 3 4 6 7 9 10 12 12 14 15 15 15 15 15 14 13 11 11 10 9 9 9 10 10 11 11 11 11 12 13
174 206 241 279 315 336 351 363 371 376 368 347 314 274 230 185 148 127 120 119 110 93 77 65 46 29 15 5 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 1 1 1 0 0 0 0 0 1 1 2 3 5 6 8 9 11 11 12 13 13 13 13 13 11 10 10 10 9 8 8 8 9 10 12 11 12 12 13 15
138 168 207 248 276 304 328 346 358 368 373 362 336 296 244 191 149 124 111 106 89 68 50 42 34 22 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1 2 4 5 6 8 10 11 12 12 12 12 13 13 12 12 11 10 9 7 8 7 7 8 10 11 11 11 13 14 16
118 142 176 217 254 285 311 329 341 357 364 361 342 300 248 194 148 115 102 95 70 43 25 20 18 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 8 10 11 12 12 12 12 11 11 10 9 9 8 7 8 9 8 8 9 10 11 11 11 14 15 16
114 128 153 186 224 259 289 311 325 339 350 354 343 303 252 197 144 102 79 62 41 20 10 10 12 12 10 8 5 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 1 1 2 3 4 5 6 8 9 9 9 9 10 9 9 8 7 7 8 8 7 8 9 9 10 10 11 11 11 13 15 16 17
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