Vorticity
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nan 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 14 15 14 14 14 13 12 11 11 11 12 12 13 14 15 16 17 17 16 15 13 11 10 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 11 12 12 13 13 13 12 11 10 9 10 11 11 11 11 11 11 11 12 12 12 11 11 11 12 14 14 13 12 11 10 9 8 7 6 5 4 3 2 -0 -0 1 6 11 15 18 20 22 23 23 22 22 21 21 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 2 8 16 22 22 19 18 22 31 47 62 75 87 98 107 114 125 135 145 156 170 180 190 202 211 215 218 225 233 243 248 241 251 262 264 258 244 237 231 229 229 231 232 231 225 225 230 229 224 224 209 197 201 190 178 169 160 156 154 153 157 161 165 168 173 182 182 183 187 195 205 207 215 224 227 221 205 191 180 176 181 196 193
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 1 4 7 11 13 15 18 24 34 45 54 62 71 81 88 97 107 115 124 139 153 163 173 187 200 211 217 222 227 237 233 240 258 264 250 233 215 210 211 211 209 208 210 213 211 205 205 204 205 207 198 182 185 183 175 166 160 156 148 145 150 159 166 163 164 168 170 171 172 178 184 188 191 195 204 204 198 186 174 168 176 185 187
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 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 2 1 0 0 0 0 0 0 3 7 10 10 10 12 15 19 26 34 42 50 58 68 80 90 97 101 102 107 120 132 143 156 177 189 196 201 206 212 213 224 240 250 247 230 214 205 198 195 196 193 189 189 195 199 192 182 183 185 184 179 172 165 165 166 167 168 163 152 147 150 158 162 158 155 155 158 158 161 163 164 166 172 175 185 193 193 185 173 169 173 181 186
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 3 9 10 7 5 7 11 17 24 32 40 50 58 70 81 88 92 92 90 95 105 115 125 141 156 163 167 174 185 191 198 211 216 214 215 208 195 188 184 180 181 177 176 176 178 180 175 167 167 170 170 165 157 148 146 150 157 162 162 157 153 156 162 161 155 147 141 138 137 140 143 142 141 151 158 168 178 186 182 176 174 177 183 186
1 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 2 7 5 0 0 0 0 0 0 1 5 7 8 4 1 1 5 12 20 28 37 48 59 68 78 85 84 81 81 87 95 104 114 123 131 136 145 159 175 183 188 192 194 189 187 184 174 165 163 164 163 161 160 161 156 155 157 156 154 155 157 156 151 145 141 140 143 147 149 150 152 157 165 168 159 142 130 125 124 125 127 127 127 134 140 146 155 169 175 178 180 178 182 181
4 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 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 6 9 6 1 0 0 0 0 0 0 1 2 3 2 0 0 2 6 13 21 31 43 54 62 69 76 77 75 76 79 86 98 106 110 117 126 137 150 166 173 176 179 179 175 168 163 158 154 151 147 143 139 131 122 119 119 122 123 121 126 129 134 137 137 139 138 139 142 145 146 148 152 159 162 156 141 134 131 129 127 124 122 122 125 127 130 142 153 164 174 183 180 178 177
8 3 2 3 3 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 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 23 35 44 52 59 67 70 71 72 76 84 94 104 108 109 113 119 129 143 154 159 165 167 170 168 166 166 163 153 142 134 126 114 98 94 94 97 98 96 103 107 111 116 125 132 135 138 142 147 147 146 147 154 160 155 150 146 144 142 141 130 123 119 118 119 126 135 145 155 168 172 173 173 173
8 6 4 5 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 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 7 18 28 37 44 51 58 65 69 72 78 85 91 97 101 102 102 103 106 115 127 137 148 155 162 167 170 174 173 163 151 141 131 123 108 99 96 99 102 102 105 109 114 118 126 133 138 140 142 150 150 147 147 152 157 158 156 152 149 150 143 132 122 115 115 118 125 135 146 155 166 172 172 173 175
17 11 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 22 30 38 45 52 60 67 72 78 85 90 94 98 100 98 96 97 102 107 117 132 144 154 163 169 170 172 169 162 155 145 141 135 128 123 121 123 123 124 128 134 138 145 152 158 163 164 169 167 158 147 142 143 143 140 136 137 140 136 128 118 110 109 113 119 127 142 154 166 173 175 178 181
6 2 0 0 2 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 0 0 0 0 0 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 7 15 24 33 41 48 56 64 72 77 82 86 91 94 99 99 98 97 97 100 110 125 140 153 164 172 172 170 170 170 166 160 156 154 152 152 148 148 151 155 158 163 170 178 186 195 200 206 208 200 177 159 144 133 125 118 118 121 125 126 123 117 110 106 105 106 113 128 144 158 168 171 177 181
6 1 0 1 2 4 5 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 2 7 17 27 36 43 51 59 67 72 77 81 85 88 95 100 102 104 106 111 120 132 145 157 167 175 177 173 169 174 173 171 170 170 167 169 169 170 175 181 182 190 200 210 220 227 231 233 230 214 181 156 137 122 108 100 100 101 105 110 112 111 108 104 98 96 102 113 129 148 160 167 172 176
2 0 0 0 1 3 7 10 8 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 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 2 11 22 32 39 46 53 60 65 69 74 81 85 92 100 107 115 121 129 137 145 154 163 169 173 177 177 172 175 178 179 181 184 183 184 186 191 198 203 208 214 223 235 241 244 242 235 224 202 173 144 118 102 92 86 82 80 83 92 98 103 106 100 91 88 89 94 107 128 147 162 172 174
0 0 0 0 0 1 5 6 8 16 17 4 1 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 7 16 25 32 38 45 53 60 65 70 79 86 92 99 111 121 128 135 143 153 161 166 170 174 179 181 180 182 185 188 189 195 197 197 198 201 209 214 216 218 227 237 238 237 228 214 200 185 168 148 121 104 93 82 75 74 78 79 85 92 94 91 87 83 80 78 85 102 125 151 172 178
0 0 0 0 0 1 2 1 4 14 23 6 1 0 2 4 5 4 2 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 2 6 12 22 31 40 50 61 68 74 79 82 83 88 98 107 116 126 138 153 164 171 177 183 183 186 189 191 193 195 197 201 204 206 206 204 207 213 214 205 211 211 204 193 183 172 162 154 148 153 138 124 111 96 79 68 61 63 68 72 74 79 83 83 78 72 72 80 100 132 157 172
1 1 1 1 1 0 0 0 0 2 2 1 1 3 5 7 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 21 34 46 57 62 66 67 68 66 59 60 65 73 86 107 127 146 163 174 184 185 185 187 191 196 199 199 199 199 200 204 203 201 200 200 197 185 176 166 152 134 128 124 122 122 120 122 125 127 124 111 88 70 61 56 52 54 61 72 79 79 77 72 70 72 84 108 134 156
2 2 2 2 1 0 0 0 0 0 0 2 6 9 10 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 0 0 0 0 1 3 10 21 31 37 41 46 49 50 51 52 49 38 33 31 34 48 73 98 121 142 157 163 167 170 173 178 185 190 193 192 190 192 192 190 187 183 175 163 151 135 117 110 91 83 82 86 89 90 92 101 115 122 110 88 69 57 52 48 51 55 61 67 73 76 74 71 72 78 92 114 139
1 2 2 2 3 1 0 0 1 1 2 7 9 10 9 7 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 29 35 33 27 26 27 30 35 42 46 38 27 20 19 22 30 46 63 79 99 115 123 132 140 147 156 167 175 179 178 177 180 178 172 166 162 146 133 120 107 87 73 62 55 51 57 61 67 72 80 100 106 99 80 58 54 54 54 52 51 55 64 74 78 78 74 74 81 89 102 125
0 1 1 2 3 1 0 1 3 6 7 11 12 10 8 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 0 0 1 2 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 0 0 0 0 0 0 2 8 20 25 27 24 20 16 17 19 23 31 39 40 33 25 22 23 24 29 40 51 57 71 82 95 112 125 132 141 151 161 168 165 165 166 163 155 148 139 126 110 96 85 70 58 49 41 35 39 45 54 61 62 75 84 84 77 63 58 57 55 52 51 56 64 71 77 77 78 83 87 90 96 113
1 2 1 1 1 1 2 4 9 18 18 16 13 12 10 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 1 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 1 0 0 0 0 0 0 0 1 2 7 10 12 12 9 9 10 15 22 29 33 33 31 30 33 34 34 39 48 58 59 66 77 87 94 103 111 119 129 137 142 145 148 151 151 145 134 120 107 93 75 63 49 37 30 26 24 25 27 31 46 50 57 62 64 62 59 60 57 50 47 45 46 48 53 60 66 73 80 84 86 93 101
2 2 2 2 2 4 8 12 16 22 22 20 18 16 12 7 4 2 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 1 1 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 0 0 1 2 2 4 6 8 14 20 21 22 23 28 33 38 40 44 50 52 53 56 59 64 70 79 88 97 107 118 127 134 140 143 142 134 120 107 93 79 62 47 34 25 19 15 15 17 20 25 33 41 47 52 57 56 55 57 58 50 44 37 34 36 40 48 58 65 68 75 85 91 96
1 2 2 6 10 12 15 21 21 26 27 25 22 19 11 6 3 1 0 0 0 0 1 3 5 1 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 2 1 1 0 0 0 1 1 1 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 2 7 11 11 11 12 13 11 10 10 20 31 38 38 38 46 50 49 47 50 54 62 69 78 90 102 114 125 134 141 145 142 135 122 105 86 68 51 36 23 15 10 8 8 9 13 15 22 31 40 47 53 57 60 59 59 56 50 40 33 36 36 39 44 51 62 73 84 92 95
2 3 4 13 25 29 27 31 32 33 33 32 23 16 9 4 1 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 4 5 4 4 3 2 1 2 2 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 8 13 13 9 8 7 6 4 4 17 29 36 36 40 49 53 51 48 54 57 61 64 70 87 104 117 126 137 149 154 151 143 129 101 75 55 41 29 15 8 4 3 5 7 12 19 25 31 38 45 52 58 59 59 60 60 58 56 51 47 40 36 44 53 61 69 78 86 90
3 6 10 22 37 47 49 50 41 33 32 33 18 10 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 1 1 2 2 3 5 6 7 8 7 7 7 7 7 6 4 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 2 0 0 0 0 0 0 0 0 0 0 1 2 4 2 1 1 1 1 1 7 19 34 43 35 40 46 51 54 55 53 51 50 51 54 71 88 103 118 139 156 160 148 122 90 65 49 36 25 14 6 2 2 2 3 7 14 21 29 39 40 45 46 41 50 53 58 58 55 56 56 54 47 37 42 51 55 61 69 77 85
10 16 21 34 46 54 59 55 43 33 29 25 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 1 0 1 2 3 4 5 6 7 8 8 8 7 7 6 7 6 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 24 27 27 29 32 33 34 33 30 27 25 34 45 53 67 101 126 129 110 81 59 42 29 19 12 7 3 0 0 1 1 2 6 14 24 34 39 42 46 50 49 52 55 58 59 57 55 54 51 46 37 34 32 33 38 46 55 72
16 23 29 40 51 60 66 65 51 39 34 23 11 3 0 0 0 0 0 0 0 0 0 1 3 6 9 10 6 3 3 4 3 4 5 6 4 1 1 2 4 5 6 7 8 9 9 9 8 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 2 1 2 1 2 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 4 5 8 12 14 14 14 14 15 20 32 39 43 62 85 89 77 57 37 25 16 9 3 0 0 0 0 0 0 0 1 3 9 18 27 34 40 46 51 55 58 61 63 63 60 55 50 45 38 30 22 16 14 15 19 24 35
31 45 44 46 57 69 72 72 58 43 40 33 25 17 16 23 15 5 1 2 5 5 6 12 20 27 27 25 19 14 11 10 11 10 11 10 7 2 3 5 6 7 9 9 10 10 9 9 8 7 5 4 3 2 1 1 0 0 0 0 0 0 0 0 2 3 5 6 8 10 10 8 6 3 2 1 2 3 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 1 3 4 6 9 11 19 29 38 46 49 56 53 47 39 29 20 12 6 2 1 0 0 0 0 0 0 0 0 1 2 7 13 19 28 38 47 55 62 66 68 67 63 57 48 39 29 19 10 5 4 4 6 9 12
24 27 29 35 46 62 62 61 53 42 39 40 59 74 78 75 53 32 22 25 39 38 40 41 40 42 38 33 28 24 22 17 17 16 14 9 5 3 3 5 7 9 11 11 11 10 10 9 8 6 5 5 4 3 1 0 0 0 0 0 0 0 1 3 6 8 9 10 10 10 11 9 6 4 2 3 7 8 8 5 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 2 4 5 5 5 10 20 27 32 42 49 49 42 33 24 15 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 14 27 42 57 65 71 70 68 65 59 50 36 23 12 5 2 1 1 2 5 6
13 14 16 20 27 53 53 45 38 34 33 35 57 84 103 110 98 88 84 84 88 86 88 88 78 48 37 32 30 28 24 18 19 22 20 9 4 4 5 6 8 10 12 13 13 13 12 11 10 9 9 8 6 4 2 0 0 1 1 1 1 2 4 7 10 12 11 11 10 10 11 9 8 6 7 11 18 15 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 1 2 6 10 12 14 16 22 28 30 29 29 28 27 20 11 5 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 7 16 30 46 61 69 73 72 70 69 63 51 35 20 9 3 1 0 0 1 2 4
13 20 25 26 18 36 37 33 31 28 29 33 48 75 111 148 144 132 122 115 112 92 80 74 59 37 32 31 30 27 23 23 26 31 34 18 10 6 5 7 10 13 14 15 15 14 15 14 13 13 12 12 10 7 4 2 2 2 3 4 4 5 7 9 11 12 11 10 8 8 12 13 14 16 20 26 26 20 12 3 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 1 3 6 9 15 20 28 36 40 42 38 27 13 6 8 5 2 2 2 2 1 1 1 1 1 0 1 2 3 4 6 8 10 12 14 20 30 43 57 66 73 77 78 76 67 54 39 25 14 7 2 0 0 0 1 2 3
15 20 23 24 13 15 21 39 67 39 35 41 56 77 104 149 152 143 137 133 115 88 69 59 44 31 31 34 37 38 38 39 37 35 43 29 17 8 3 5 9 13 15 16 17 17 18 18 17 17 17 17 14 9 6 5 5 5 4 5 6 7 9 11 13 13 12 11 11 14 18 21 26 31 34 34 31 25 17 5 3 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 18 22 23 36 48 50 41 30 18 8 3 1 2 4 7 8 7 6 6 7 8 7 6 6 8 9 11 11 12 14 17 23 30 38 47 57 67 73 74 67 55 41 26 16 10 5 2 1 0 0 0 1 1 2
13 13 13 13 11 10 16 33 60 41 40 53 81 124 110 95 96 105 109 102 80 76 85 80 53 37 39 49 49 50 53 56 51 38 35 21 11 4 2 4 6 10 13 15 17 18 19 19 19 19 19 18 15 12 10 9 9 9 8 8 9 10 11 14 15 15 16 16 16 21 26 32 38 41 40 36 31 26 19 8 5 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 13 14 13 15 23 32 30 21 12 5 2 0 0 2 5 7 10 12 13 13 15 16 16 14 13 14 15 15 14 15 16 19 23 27 35 47 56 63 65 64 53 30 11 4 3 3 2 2 1 1 1 1 1 1 2
12 9 8 9 12 14 17 21 25 23 25 39 67 103 82 68 63 65 72 71 54 52 75 93 81 73 69 68 58 54 52 50 47 38 29 21 15 10 3 3 4 6 9 13 15 17 19 21 21 20 20 19 17 15 14 13 13 13 12 13 14 14 15 17 18 19 20 21 25 29 34 39 42 41 36 30 24 17 12 9 8 8 9 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 10 8 6 6 8 10 8 4 0 0 0 0 0 2 5 10 13 15 16 17 17 18 19 18 18 18 19 20 21 21 20 20 23 29 41 49 53 55 59 60 45 24 9 3 2 2 2 1 1 1 1 1 1 1 2
13 10 9 11 14 17 21 28 29 27 26 32 44 61 65 61 52 48 50 56 52 47 56 78 72 60 50 47 44 41 36 31 29 25 20 18 16 11 6 3 2 3 4 7 10 13 16 19 20 20 20 20 20 21 19 18 17 18 19 19 18 17 19 20 22 25 28 33 37 40 41 42 40 36 31 24 15 9 9 9 9 8 8 8 8 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 3 2 2 2 2 1 0 0 0 1 2 3 5 8 12 14 15 15 15 15 16 17 18 19 21 23 26 26 22 21 23 28 38 51 54 52 55 60 57 40 19 6 3 2 2 2 2 2 2 2 2 2 1 2
15 14 15 17 16 17 23 35 40 36 30 30 38 55 61 56 45 46 45 52 61 68 65 60 48 39 36 34 28 25 22 18 16 13 10 8 9 7 5 3 1 1 1 2 4 6 9 14 16 17 19 20 22 24 23 21 21 23 25 23 21 19 20 21 24 29 36 43 47 47 45 44 43 39 31 21 15 12 11 9 7 5 5 6 6 6 6 4 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 2 1 1 1 2 1 0 0 0 0 0 2 4 6 7 9 10 10 11 11 11 12 12 13 18 21 24 28 32 29 26 27 32 39 49 59 62 60 61 62 55 39 20 7 3 3 3 3 3 3 3 3 3 2 2 2
17 17 17 18 16 15 18 31 44 47 42 42 52 59 60 53 42 48 49 50 48 43 47 44 35 24 18 17 14 12 10 7 6 4 3 2 2 2 2 2 2 1 0 0 0 1 2 6 10 13 16 17 22 23 23 23 25 27 27 25 22 18 19 22 26 32 38 42 43 43 43 46 46 42 35 26 20 14 9 5 3 3 3 3 2 4 3 3 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 3 4 4 4 5 6 7 8 10 10 11 14 19 24 27 31 35 35 36 38 42 49 57 63 66 67 67 63 56 43 25 11 4 4 4 3 4 4 4 4 4 4 3 4
17 16 15 16 16 15 19 32 42 48 52 60 61 56 49 42 40 46 48 42 28 21 32 30 20 11 8 8 7 4 3 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 3 5 8 12 13 17 21 24 26 28 26 23 22 20 17 17 20 24 29 27 27 29 31 37 44 46 44 41 35 27 18 10 5 2 2 2 2 3 2 2 1 1 0 0 0 1 1 2 4 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 3 5 8 10 11 12 14 19 25 30 32 36 39 43 46 50 56 63 68 70 68 64 60 55 46 27 12 5 4 4 4 4 4 4 4 4 5 5 5
16 17 16 16 18 20 22 29 34 39 48 51 45 40 37 35 40 47 47 37 19 14 11 6 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 9 11 13 19 27 30 26 19 14 15 13 11 11 12 12 13 11 12 16 21 30 40 46 46 44 43 36 27 19 12 6 3 3 3 3 3 2 0 0 0 0 0 1 2 4 7 8 7 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 2 4 7 9 10 12 15 19 25 29 33 37 42 47 52 56 61 66 69 68 63 56 50 42 31 18 8 5 4 4 4 4 4 4 4 5 6 7 6
12 15 16 18 21 24 23 30 35 34 33 33 30 30 32 33 38 43 37 19 9 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 2 5 6 7 9 8 11 18 25 27 20 11 5 6 5 5 5 6 4 3 3 7 14 22 31 40 47 50 48 49 45 37 29 21 12 7 6 5 4 3 1 0 0 0 0 1 2 3 5 8 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 1 1 2 4 7 9 11 13 16 21 26 32 37 43 49 55 60 65 70 70 66 61 54 46 36 26 17 11 7 5 4 4 4 4 4 3 4 6 7 6
9 12 14 18 22 26 27 28 29 28 29 31 31 30 28 29 29 25 17 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 1 3 5 4 6 7 8 12 16 16 14 11 9 5 3 2 2 2 2 3 3 4 8 15 23 31 38 44 47 47 47 44 37 29 21 13 7 5 4 3 2 0 0 0 0 0 0 1 2 3 5 6 5 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 1 1 3 5 7 10 14 19 25 31 37 43 50 56 62 71 74 72 67 59 52 44 37 31 24 17 11 6 4 4 4 4 4 4 3 4 5 5
6 8 10 15 25 27 27 26 26 29 30 31 30 27 24 20 15 11 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 1 1 2 4 6 8 7 5 4 3 2 2 1 1 1 0 1 3 4 6 10 15 19 22 26 31 32 30 27 21 16 11 6 2 1 1 1 0 0 0 0 1 0 0 0 1 2 2 2 2 4 6 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 1 2 3 4 8 13 19 23 28 34 41 48 55 62 72 75 73 66 56 49 45 40 40 37 30 20 12 5 3 3 4 4 3 3 3 3 3
4 5 7 11 21 23 24 24 25 26 28 29 29 27 22 12 5 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 0 0 1 1 1 1 0 0 1 1 1 1 1 1 2 2 1 3 5 7 9 12 14 13 11 10 5 3 2 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 1 2 5 7 6 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 9 13 17 21 25 30 37 45 51 59 67 72 72 66 59 55 52 52 53 50 43 34 20 11 5 3 3 3 3 3 2 2 2
4 5 7 8 10 14 18 22 23 24 26 28 29 28 17 7 2 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 1 1 1 0 1 1 1 1 1 0 0 1 1 2 1 1 1 1 1 0 0 0 0 0 0 1 1 3 2 3 5 6 4 2 2 1 0 0 0 0 2 6 8 6 3 0 0 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 14 15 17 21 27 34 42 45 50 57 63 69 68 64 60 58 56 56 56 54 48 34 21 11 4 3 2 2 2 1 1 1
3 4 5 6 8 11 15 18 20 22 24 26 30 26 15 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 1 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 10 12 12 11 11 9 8 7 6 4 1 0 0 0 1 6 8 6 2 1 1 2 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 10 13 16 15 14 16 21 28 36 38 37 40 51 62 67 66 63 64 63 62 62 61 57 48 35 23 12 5 2 1 1 1 1 1
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