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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 5 4 3 2 2 2 2 3 3 4 4 4 4 3 2 -0 -1 -0 3 7 13 18 23 26 28 30 32 32 32 31 30 27 25 22 20 17 15 14 13 12 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 13 14 15 15 14 12 10 9 8 7 7 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 16 17 18 18 19 19 19 19 17 16 14 13 12 11 10 10 11 11 11 11 11 11 10 10 10 10 11 12 13 15 16 17 19 20 21 22 23 23 22 20 18 16 13 11 9 9 8 8 8 7 7 6 6 6 8 10 13 15 17 17 16 15 12 10 9 9 10 11 13 15 16 15 13 10 5 2 2 5 12 22 31 36 36 34 30 24 19 16 14 12 11 9 9 9 10 11 12 12 12 12 13 12 12 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 9 10 10 10 9 8 8 7 7 8 9 9 8 6 4 4 5 7 11 13 14 13 12 12 12 13 13 13 12 10 7 6 8 10 11 12 11 9 8 9 10 12 nan
nan 10 9 7 7 6 5 4 3 2 1 1 1 1 2 2 3 4 4 3 2 1 1 2 4 8 12 16 21 24 27 29 30 31 31 30 28 27 25 23 21 18 16 15 14 12 12 11 11 11 11 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 13 14 15 14 13 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 14 15 15 16 17 17 18 19 19 20 20 19 18 17 15 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 15 16 17 18 19 20 20 20 20 20 18 16 14 12 10 10 9 9 8 8 7 7 6 6 7 8 10 12 15 17 18 17 15 13 11 9 9 10 11 13 15 16 15 13 10 5 2 1 4 10 21 31 36 38 35 29 23 19 16 14 13 10 9 8 8 9 11 13 13 12 12 12 13 12 11 10 10 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 9 10 10 9 7 5 4 6 8 11 14 15 14 13 12 12 12 13 13 12 10 9 8 8 10 11 11 11 9 8 9 11 12 nan
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CAPE
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12 13 14 15 15 15 14 13 13 14 16 18 18 16 15 13 13 13 14 14 14 13 11 9 8 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 8 8 9 10 11 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 11 11 12 10 8 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 10 12 14 16 18 19 20 20 19 16 14 11 8 6 5 3 2 1 1 1 2 2 2 3 4 4 5 5 6 7 7 8 9 10 11 12 12 13 13 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 14 14 15 16 17 18 19 21 22 24 27 30 31 31 31 31 32 32 33 33 36 37 38 38 38 37 36 37 38 38 39 40 41 41 41 41 43 47 51 54 57 57 55 53 51 49 49 50 52 53 56 59 60 62 61 58 56 55 54 52 51 50 49 49 50 50 49 49 50 53 56 61 64 66 66 65 64 62 60 57 55 54 54 56 53 51 49 49 49 49 49 47 44 43 41 41 41 41 40 39 39 38 39 43 47 51 50 48 47 52 60 69 78 86 94 102 110 120 129 140 147 151 151 153 158 171 189 206 217 223 227 228 231 230 225 207 197 193 197 201 206 217 230 242 253 262 269 271 266 262 259 259 257 250 236 224 219 222 233 239 239 228 211 193 182 174 173 181 182 184 188 159 130 104 92 90 91 91 92 91 88 86 87 91 95 100 104 107 104 102 106 118 136 161 169 179 193 209 209 191 137 90 53 31 19 12 9 9 9 8 8 9 10 12 20 32 50 64 71 73 71 72 74 72 69 65 60 57 53 48 42 45 55 66 79 95 112 121 124 118 99 84 74 75 80 85 84 77 68 60 55 61 75 84 87 87 87 86 84 79 72 66 61 60 60 61 60 59 58 55 53 52 52 55 59 65 73 80 87 86 81 72 60 49 40 34 28 24 19 15 12 9 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 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
10 11 12 13 13 12 12 12 12 12 14 16 16 15 13 12 11 11 12 12 13 13 12 11 9 8 7 7 8 8 8 7 7 6 5 5 5 5 5 6 6 7 7 8 8 9 10 10 11 12 12 13 13 13 12 12 11 11 12 11 10 10 11 11 12 12 12 11 9 7 6 6 6 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 6 9 11 13 15 17 18 19 19 20 19 17 15 11 8 6 5 4 3 2 1 2 2 2 3 3 4 5 5 6 7 7 8 9 10 11 12 13 13 13 12 12 12 12 12 11 10 10 9 10 10 10 10 10 11 11 11 11 12 14 15 16 16 18 19 20 22 24 26 29 31 32 32 31 31 32 32 33 34 34 36 37 38 37 37 37 36 36 37 39 40 41 42 42 43 44 47 50 54 56 57 54 51 49 48 49 52 54 56 57 59 61 62 61 59 56 54 53 52 51 51 51 53 52 51 48 47 49 52 56 60 61 64 65 64 63 62 60 57 55 53 53 52 48 48 48 47 48 48 47 45 43 41 40 40 40 40 40 40 40 40 42 45 49 51 50 52 55 60 71 82 91 98 105 112 121 130 140 149 156 161 161 162 168 179 195 209 220 225 227 228 228 227 223 212 197 186 185 187 195 207 221 236 250 260 268 271 266 261 258 260 258 252 238 227 220 218 227 232 235 226 203 182 176 179 191 211 196 180 165 139 116 96 87 88 91 95 95 94 91 88 88 91 95 96 96 98 97 95 92 115 138 159 159 167 180 193 199 187 136 90 53 31 20 13 10 10 11 12 10 10 10 11 15 25 43 64 80 89 90 91 91 89 84 76 66 57 51 48 48 51 58 72 90 110 130 145 148 131 112 96 86 91 97 102 102 96 88 83 80 83 93 93 91 86 82 78 76 73 68 63 60 59 60 63 65 64 61 54 49 46 45 48 52 59 68 77 86 83 77 67 54 44 35 28 23 19 15 11 8 6 5 3 2 1 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
10 11 12 12 12 12 12 12 12 11 11 13 13 13 12 12 11 10 10 10 11 11 10 10 10 9 8 8 9 9 8 8 7 6 5 5 5 5 5 6 6 7 7 7 8 9 9 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 13 12 12 10 9 7 6 6 5 5 5 6 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 1 1 2 3 4 5 7 8 11 14 17 19 21 26 29 25 23 23 16 11 8 6 5 4 3 2 2 2 3 3 3 4 5 6 7 8 8 9 10 11 12 13 13 13 13 13 12 12 11 11 11 10 9 9 9 10 10 10 10 11 11 11 12 12 13 14 15 17 18 20 21 22 24 26 28 30 31 32 32 32 32 32 33 34 36 38 38 38 38 38 38 37 37 37 37 38 40 41 42 43 44 45 48 51 53 55 55 53 50 47 46 48 52 55 57 58 59 60 60 59 58 56 53 52 52 52 54 54 55 53 51 49 48 49 51 56 60 62 64 65 64 62 61 60 57 53 50 49 47 46 46 47 47 48 47 46 44 42 40 41 40 40 40 40 41 43 44 47 51 52 53 55 60 67 75 87 97 105 112 116 120 128 139 149 159 163 167 170 169 174 185 199 211 221 226 228 228 226 222 216 208 194 184 178 181 188 199 213 226 239 251 264 272 272 263 258 257 252 244 233 223 221 226 241 247 242 221 195 177 172 173 176 182 169 158 145 127 108 94 92 94 97 103 103 100 96 92 94 97 98 96 94 94 87 82 78 100 125 151 157 163 172 197 200 184 142 94 56 33 21 14 11 13 14 15 12 11 11 11 13 20 34 59 79 95 100 104 108 105 96 84 72 63 57 56 55 60 68 81 100 122 146 162 166 146 126 112 108 115 120 123 122 117 110 106 101 98 97 98 97 91 83 77 73 71 68 65 60 57 57 61 63 63 62 56 49 42 41 42 46 54 63 72 78 77 72 60 47 35 26 21 18 15 12 9 7 5 4 3 2 1 1 0 0 1 1 1 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
11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 8 8 7 6 5 4 4 5 5 6 6 7 7 8 8 8 8 8 9 10 12 13 14 14 13 12 11 11 11 12 12 12 13 13 13 13 13 13 12 10 8 7 7 6 6 7 7 7 7 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 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 10 12 15 18 21 24 29 38 31 27 26 20 13 9 7 6 6 4 3 3 2 3 3 4 5 5 6 6 7 9 10 10 11 12 13 14 14 14 13 13 12 12 11 10 10 9 10 10 9 9 10 10 10 11 11 11 12 13 14 15 17 18 19 21 22 24 26 28 29 31 32 33 32 32 32 33 34 35 37 38 38 38 38 38 38 38 38 38 38 39 40 41 41 42 43 45 47 51 53 52 51 49 47 45 44 44 46 49 53 55 57 57 57 57 57 56 54 54 53 55 57 58 56 53 50 49 48 49 51 55 60 63 66 64 62 59 59 59 58 54 51 49 47 47 46 46 46 46 46 45 44 42 42 42 42 42 43 45 46 48 51 55 58 60 63 67 72 79 89 101 111 118 125 131 135 139 147 155 164 169 176 181 184 187 193 200 210 217 222 225 224 222 220 213 203 188 176 169 172 181 193 206 218 231 245 261 268 266 262 258 251 239 230 223 215 215 221 232 241 235 210 197 186 178 163 153 146 139 137 135 125 113 104 104 105 107 110 109 104 97 92 92 95 95 93 91 91 82 77 77 84 101 126 149 164 180 220 211 185 154 105 64 38 25 17 14 15 16 16 14 13 12 12 15 19 26 59 86 105 109 111 112 107 96 83 71 67 66 68 69 73 82 90 102 120 148 169 182 170 148 132 134 136 137 138 133 126 116 106 96 88 88 88 89 88 82 77 72 69 67 66 60 55 52 52 55 59 61 58 52 43 38 37 41 49 59 70 73 70 63 50 37 25 19 15 12 10 7 6 5 4 3 3 2 2 1 0 0 1 1 1 1 1 1 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
11 10 10 10 9 9 8 7 7 8 7 8 8 9 9 10 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 7 5 4 3 4 4 5 5 6 7 8 8 8 8 8 8 9 10 11 12 14 14 14 12 11 10 11 12 13 13 13 13 13 13 13 13 12 11 10 9 8 7 7 8 8 7 7 6 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 1 1 1 1 2 3 5 6 8 12 17 22 26 27 29 30 29 26 25 27 29 18 9 9 13 15 9 6 5 4 4 4 5 5 6 7 7 9 10 11 11 12 13 13 14 14 14 12 12 12 11 11 10 9 9 8 8 9 9 9 9 10 10 11 12 13 14 15 16 17 20 21 22 24 25 27 29 31 31 31 32 32 32 32 33 35 38 38 38 39 39 39 37 37 37 38 38 39 39 40 41 42 43 44 43 44 45 47 48 47 45 42 40 39 39 39 40 42 46 48 50 52 53 54 54 54 55 56 58 58 58 56 54 51 51 51 51 54 58 61 63 63 62 61 59 58 56 55 54 52 49 47 45 44 43 43 44 45 47 48 50 49 48 49 49 50 51 51 56 61 64 66 69 73 79 84 88 101 113 123 128 133 141 149 158 166 166 169 174 183 189 192 190 189 188 189 196 205 215 216 214 210 205 193 169 159 156 162 176 190 203 212 225 240 256 266 270 267 260 250 233 219 210 205 206 211 220 222 215 202 194 182 167 146 130 121 120 124 126 124 120 116 115 114 114 115 113 106 98 91 87 86 89 88 84 80 73 73 80 96 116 138 163 181 193 200 186 169 155 119 81 44 30 21 16 14 14 15 14 14 14 14 19 27 38 63 89 117 121 120 113 105 94 82 74 73 74 74 77 81 88 91 99 111 134 160 185 187 180 170 161 151 143 137 130 119 106 92 81 72 70 71 73 74 73 71 67 65 62 62 59 54 46 47 50 55 59 59 55 45 37 32 34 42 52 61 67 65 52 39 27 17 13 10 8 6 4 3 1 1 2 2 2 1 0 0 1 1 1 1 1 1 1 1 2 2 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
11 9 8 8 8 8 7 7 6 6 6 6 7 7 8 9 9 8 8 8 8 9 10 11 11 12 12 12 11 11 10 9 9 7 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 10 11 12 12 13 13 12 11 11 11 12 13 13 13 13 13 13 12 12 11 11 10 10 9 8 8 8 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 17 25 32 36 39 37 33 26 23 21 23 26 24 21 19 22 19 12 8 6 4 5 6 6 7 8 8 9 10 11 12 13 13 14 15 15 14 13 12 12 11 11 9 9 8 8 8 8 8 8 9 10 11 11 12 13 14 15 16 18 19 21 23 24 25 27 28 30 31 31 31 31 31 31 32 34 37 40 41 42 42 42 40 38 37 37 38 39 39 39 40 41 42 42 42 42 43 43 43 43 43 41 38 35 34 34 34 35 36 38 40 43 44 45 47 49 52 54 56 57 56 55 54 52 52 53 54 55 57 59 61 61 60 60 60 58 55 53 54 54 51 48 45 42 41 41 42 46 49 51 55 58 58 59 59 59 60 62 63 66 69 70 72 74 78 85 92 100 114 125 134 139 146 153 161 168 172 169 171 175 184 189 190 182 172 165 164 173 183 195 205 212 215 206 188 165 164 164 167 176 187 197 206 218 235 257 269 274 269 259 246 228 207 196 193 192 195 198 198 192 183 173 159 144 127 114 106 107 115 121 125 122 120 118 118 120 121 121 112 101 89 84 82 81 79 74 68 69 71 74 80 96 120 147 163 172 173 167 159 150 119 87 55 41 30 22 16 14 14 14 13 14 16 23 34 50 73 99 130 129 125 119 109 96 84 81 82 83 81 81 83 87 94 100 104 114 130 151 168 173 168 156 144 133 126 116 104 89 76 66 59 56 54 55 56 58 60 60 58 55 55 55 53 49 49 52 57 59 58 54 43 34 27 29 35 46 53 55 52 41 29 17 11 8 5 4 3 3 2 1 1 2 1 1 0 0 0 1 1 1 1 1 1 1 2 2 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
10 8 7 8 8 9 10 9 8 7 6 5 5 6 8 8 9 9 8 8 8 9 10 12 12 13 13 12 12 11 10 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 12 12 12 13 14 14 13 12 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 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 0 0 0 0 0 0 0 0 0 0 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 6 10 14 19 25 32 37 42 45 45 41 34 27 23 22 27 29 28 28 26 24 16 9 7 7 7 8 9 10 10 10 11 11 12 13 14 14 14 15 13 13 12 11 11 11 10 9 8 8 8 8 8 9 10 10 11 12 13 14 15 17 18 19 20 22 23 25 26 27 29 30 30 31 31 31 31 31 31 33 35 38 41 44 46 44 43 41 40 39 39 39 40 40 40 41 42 43 43 43 44 45 45 43 42 40 38 35 34 32 31 32 33 33 35 38 40 40 40 43 46 50 53 55 55 54 54 53 51 50 50 53 55 56 59 59 58 58 58 58 54 53 53 56 53 49 46 43 41 43 44 46 50 52 54 56 57 57 59 61 63 66 68 70 71 71 73 76 79 83 91 100 111 124 133 143 154 162 168 172 172 170 167 167 169 173 178 178 171 159 152 151 162 171 179 192 207 218 213 197 182 178 179 181 183 187 192 197 210 229 252 265 271 270 257 239 220 203 190 182 180 181 182 184 180 172 160 149 137 125 116 111 111 121 128 133 133 130 126 123 122 122 122 112 99 84 79 77 78 76 74 72 75 73 67 60 70 90 116 137 152 157 157 152 141 117 91 66 50 37 28 19 15 13 14 13 12 14 21 31 49 79 106 128 134 135 131 121 107 92 88 85 84 82 81 84 95 102 106 107 106 108 113 119 123 126 123 117 109 101 94 87 76 65 55 48 45 42 40 40 42 46 51 54 54 52 50 50 51 52 53 57 56 51 44 35 26 22 25 30 38 45 46 39 29 18 8 6 4 2 2 2 1 2 2 1 1 1 0 0 0 1 1 1 1 1 1 1 2 2 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0
10 9 8 9 10 10 11 11 10 9 8 6 6 6 7 8 7 8 10 10 10 10 11 12 14 15 14 13 12 11 10 9 9 9 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 10 10 10 10 10 10 11 12 12 13 13 14 14 13 12 11 10 10 9 8 8 9 10 10 10 10 10 10 10 9 8 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 1 1 2 3 4 5 8 14 20 25 31 37 39 41 43 47 46 39 30 24 24 27 32 33 30 27 20 11 9 8 8 9 10 11 11 12 12 12 13 13 13 14 14 14 13 13 11 10 9 9 9 8 7 7 8 9 9 9 10 10 11 12 13 15 17 18 19 19 21 22 23 25 27 28 28 29 29 30 30 31 31 31 31 31 32 34 38 41 44 46 45 44 43 42 42 42 43 43 42 42 43 43 44 44 45 46 47 47 46 43 40 37 35 32 31 31 33 34 35 36 38 39 40 41 42 45 49 52 54 55 55 54 54 53 52 51 51 51 52 53 54 54 54 55 54 52 54 54 54 49 46 44 43 43 46 47 49 51 52 54 57 58 59 59 60 61 62 63 65 68 72 77 83 85 89 94 102 111 123 135 147 159 168 173 175 173 171 168 164 160 159 161 162 159 149 146 146 151 161 172 184 201 213 217 205 192 180 175 174 176 183 190 198 214 231 246 254 256 252 239 221 200 177 170 167 169 175 178 179 177 174 171 157 143 129 121 114 112 121 133 144 145 141 135 127 122 117 113 105 94 80 76 75 79 80 79 78 78 73 64 56 60 74 107 126 138 145 147 144 134 116 92 64 50 39 29 19 15 14 13 12 12 14 23 36 56 86 112 128 135 138 137 130 120 107 98 94 95 96 97 100 109 114 115 114 111 107 104 100 96 93 88 84 82 76 70 64 58 51 43 38 35 34 31 29 28 32 41 49 55 56 56 55 54 53 52 51 46 38 31 25 20 18 20 26 31 33 31 25 17 9 5 4 3 3 2 2 2 3 2 1 1 1 0 0 0 0 1 1 1 1 1 1 2 3 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 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0
9 8 8 9 10 11 11 12 11 10 9 8 7 7 8 8 8 9 10 12 13 13 13 13 14 15 14 13 12 11 10 9 9 10 9 8 8 7 8 8 9 9 10 10 9 9 8 8 8 9 10 11 11 11 11 11 11 12 12 13 14 13 13 12 11 10 10 9 9 8 9 10 11 12 12 12 12 11 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 1 2 2 4 6 8 14 20 26 31 35 38 39 40 44 48 44 38 30 35 37 34 31 30 28 24 18 13 10 10 9 10 11 12 12 12 12 13 14 14 15 15 13 12 12 11 10 9 8 8 8 8 8 8 9 9 10 11 12 13 13 14 15 17 18 19 20 20 21 22 23 25 27 28 29 29 29 30 30 30 30 30 30 30 30 31 37 41 45 46 46 45 44 44 43 43 44 44 46 46 45 45 45 44 43 44 47 48 46 44 42 40 38 36 34 35 36 37 38 38 38 38 39 41 45 49 51 52 54 55 55 56 55 55 54 52 51 51 50 50 50 51 51 52 53 54 56 55 53 50 49 48 47 47 46 46 48 50 52 54 57 58 59 59 58 58 58 60 64 68 73 80 86 91 94 98 105 115 126 138 149 158 163 165 166 167 167 165 163 158 155 153 149 142 135 140 145 149 156 165 176 192 206 214 210 196 179 166 159 157 163 177 195 219 232 241 245 244 241 234 206 179 157 152 154 160 169 173 174 174 174 172 155 141 129 121 114 109 110 121 138 156 152 144 133 124 116 110 101 90 77 75 75 79 81 81 80 73 68 63 58 59 69 94 110 124 140 148 146 134 118 99 77 56 38 26 20 17 15 13 12 12 14 23 39 62 91 117 139 147 149 147 141 133 124 116 113 115 121 128 135 134 130 123 120 119 117 113 106 98 88 78 70 64 61 58 53 47 40 32 28 26 25 23 20 18 20 27 37 50 62 71 69 64 59 56 48 40 30 25 21 18 20 23 28 32 30 21 14 8 4 4 3 2 2 2 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 2 3 4 2 1 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 0 0 0 0 0 0 0
7 6 7 8 10 10 11 11 11 10 10 9 9 9 8 8 9 10 11 13 14 15 15 14 14 15 15 13 12 11 10 10 9 9 9 8 8 9 8 8 9 10 10 11 10 9 9 8 9 9 10 11 12 12 11 11 12 12 13 13 13 13 13 12 11 11 10 10 10 11 12 12 12 13 13 13 12 10 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 0 0 0 0 0 0 0 0 0 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 2 3 5 8 12 18 24 30 34 37 40 39 40 43 43 44 40 38 47 40 35 31 26 21 19 17 12 11 11 11 11 12 13 13 13 14 15 15 15 15 14 13 11 10 9 8 8 8 8 9 9 9 10 10 10 11 12 13 14 15 16 17 18 19 19 19 20 20 21 23 25 27 29 29 30 30 30 30 30 30 30 30 30 31 33 36 41 44 46 45 44 44 44 44 44 44 44 45 45 44 44 44 45 45 45 47 47 46 46 46 46 44 41 39 37 38 39 40 40 40 40 41 44 49 52 54 53 53 52 53 54 55 55 55 55 55 54 53 51 50 51 51 51 52 53 54 52 51 51 53 51 49 49 48 47 49 51 52 54 55 55 54 53 53 55 57 61 66 71 76 82 89 95 99 103 109 118 129 139 145 150 153 152 153 155 159 163 166 167 165 161 153 144 138 138 141 144 149 156 167 183 195 204 207 190 172 155 144 140 140 163 188 214 228 237 241 242 245 247 226 196 163 143 141 148 158 166 170 173 170 163 145 133 125 122 117 114 113 128 147 171 159 145 131 121 115 110 100 90 80 78 80 84 86 84 81 72 66 63 63 65 71 85 98 112 130 142 146 141 128 112 93 70 50 33 26 21 17 15 13 13 16 25 39 64 97 128 150 158 161 161 154 146 137 127 125 132 143 153 161 157 149 140 134 133 134 129 121 112 103 90 77 66 62 58 52 44 36 27 23 19 15 14 12 11 10 13 20 32 47 64 75 78 75 67 55 43 34 29 26 24 26 29 28 24 19 9 6 5 4 4 3 2 2 2 3 3 2 2 2 1 1 0 0 1 0 0 0 0 1 2 2 3 3 1 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 1 1 1 1 2 3 2 2 2 1 1 0 0 0
7 6 7 8 9 10 10 11 11 10 10 10 9 9 9 9 10 11 12 13 15 16 16 16 15 14 14 14 14 13 12 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 12 12 13 12 13 13 13 13 14 14 13 13 12 12 12 12 12 12 12 12 12 13 13 13 12 10 9 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 1 1 1 1 2 3 4 8 12 16 23 29 35 38 41 41 40 38 38 35 35 36 34 31 29 30 27 21 17 14 12 11 11 11 12 12 13 14 14 15 16 16 16 15 14 13 11 10 8 8 7 8 8 9 9 10 11 11 11 12 13 14 14 15 16 17 17 18 18 17 18 18 19 20 22 24 27 29 30 30 30 30 30 30 30 30 30 30 30 32 35 39 43 45 45 45 45 46 46 46 45 45 45 43 42 42 42 43 46 47 48 48 47 47 48 48 48 47 45 43 41 41 42 42 43 43 45 48 53 56 57 55 54 53 52 52 53 54 55 57 58 59 59 55 54 53 53 52 50 52 53 53 53 54 56 54 52 50 50 52 54 51 51 53 52 52 50 51 53 56 58 61 66 69 74 79 88 95 101 107 114 125 140 146 143 141 140 139 142 146 151 157 163 169 168 164 158 146 138 134 133 134 137 146 158 172 186 191 191 181 168 154 145 140 142 163 183 203 218 229 237 242 240 231 213 187 160 135 131 137 153 163 169 173 168 159 144 131 125 128 129 128 127 145 153 153 137 126 119 113 109 106 97 87 79 75 80 86 90 88 83 73 66 63 67 71 77 86 96 106 118 136 146 146 136 123 106 80 58 42 37 31 25 21 18 18 21 29 41 64 98 131 154 162 165 164 158 150 139 132 130 134 149 161 167 171 170 164 157 152 148 141 134 126 116 105 92 79 69 62 57 51 44 35 27 20 15 11 8 5 4 4 4 10 21 39 63 79 87 81 72 60 48 40 37 35 33 29 15 8 5 3 3 4 3 3 2 2 2 2 2 1 1 1 0 0 1 1 1 1 1 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 2 3 3 3 2 1 1 0 0 0
7 7 7 8 9 9 10 11 11 10 10 10 10 10 11 11 11 12 14 15 15 16 17 17 16 16 15 15 15 15 13 12 11 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 9 9 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 0 0 0 0 0 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 5 9 14 19 24 30 36 40 43 46 46 45 43 42 41 40 36 33 30 25 24 24 20 14 14 13 12 12 12 13 13 13 14 15 16 16 16 15 14 13 11 9 8 8 7 7 7 7 8 9 10 11 11 11 12 13 14 15 16 16 16 17 17 16 16 17 18 18 20 21 23 25 28 30 31 31 31 31 30 30 30 29 29 29 30 33 37 42 44 45 46 45 45 45 45 45 44 43 42 42 42 43 45 47 48 47 47 46 47 48 50 50 49 49 48 47 46 45 44 44 45 47 50 51 53 54 54 54 53 52 51 52 54 54 55 57 59 59 57 57 55 53 51 50 50 50 51 52 53 54 56 56 55 54 53 51 48 50 52 52 50 49 51 54 58 61 64 67 68 69 72 83 92 100 107 119 130 140 143 141 135 131 130 134 141 148 154 161 167 165 157 146 133 126 121 120 121 125 137 151 166 182 187 186 178 167 156 149 148 152 165 187 206 217 224 233 244 240 228 207 179 155 135 131 141 165 167 169 169 167 158 144 131 124 124 133 139 145 159 152 132 122 115 110 107 105 103 98 88 78 73 74 78 85 88 86 78 68 66 75 81 86 90 94 100 109 128 140 146 143 134 119 89 66 51 46 41 36 28 26 26 30 35 46 69 99 129 156 167 168 158 144 132 125 129 135 142 153 157 153 152 154 160 167 168 161 151 145 140 129 117 106 93 80 69 65 61 55 46 38 30 23 17 11 7 5 3 1 2 6 13 28 46 68 81 88 83 73 63 57 46 34 21 8 1 1 1 1 2 2 2 1 2 2 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 1 1 0 0 0 0 1 1 2 2 3 3 2 1 0 0 0 0
7 7 8 9 10 10 11 11 11 11 11 11 11 12 13 13 13 13 14 15 16 16 16 16 17 16 16 16 16 15 14 13 12 12 11 11 11 11 12 12 13 13 14 13 12 11 10 10 10 10 11 12 12 12 13 14 14 14 13 13 13 13 14 15 15 14 14 13 12 12 12 12 12 12 11 10 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 4 5 9 14 21 27 32 36 40 42 43 44 47 48 46 43 41 39 36 33 30 24 21 16 14 13 12 12 12 12 12 12 14 14 15 16 16 16 15 14 12 10 9 8 7 7 7 7 8 8 9 10 11 11 11 12 13 13 14 15 15 15 15 15 15 15 16 16 17 18 19 20 22 24 26 29 32 32 32 31 31 31 30 30 29 29 30 31 34 39 43 44 45 44 45 45 45 44 43 43 42 42 43 44 46 46 45 44 43 43 46 49 51 53 53 52 50 50 50 48 47 46 47 48 51 53 54 53 53 53 53 53 53 53 53 53 52 53 55 56 56 57 55 52 50 49 48 46 47 48 51 54 55 55 55 54 53 50 48 49 50 51 49 49 48 52 56 62 67 69 69 67 70 78 88 98 108 120 129 134 135 132 127 121 120 124 138 150 160 165 167 165 154 141 125 116 111 110 115 123 133 149 164 178 185 183 173 163 154 147 148 156 170 192 210 221 225 230 236 232 220 200 172 149 133 139 152 168 168 166 163 160 151 138 126 118 115 124 138 151 155 144 129 122 118 114 108 105 101 95 85 76 72 72 74 79 85 86 79 73 75 88 94 98 101 103 106 112 123 135 147 151 146 131 102 77 56 53 49 44 35 31 30 35 45 59 87 110 131 152 163 165 152 133 116 107 113 123 135 140 139 126 131 135 133 142 149 152 151 147 140 134 126 115 103 90 76 71 67 64 58 51 44 36 29 21 15 11 7 3 2 1 1 7 16 33 50 66 76 79 78 65 48 30 13 5 1 1 1 1 2 2 3 2 2 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 2 1 1 1 0 0 0 1 1 1 2 3 3 2 2 1 0 0 0 0
7 7 9 10 10 11 11 12 12 13 13 13 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 15 14 14 14 14 13 12 12 13 13 14 14 15 15 13 12 11 10 10 10 10 11 12 12 14 14 15 15 14 14 13 13 14 15 16 16 16 15 13 13 12 11 11 13 13 13 13 11 10 8 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 1 1 1 1 1 2 2 2 3 4 5 9 13 21 27 31 35 37 39 41 43 45 45 46 45 41 39 38 35 32 29 25 23 19 15 13 12 12 12 12 12 13 14 15 15 15 15 14 13 11 10 8 7 7 7 7 7 7 8 9 10 10 11 11 11 12 13 13 13 14 14 14 14 14 14 15 16 16 18 19 19 20 21 22 25 27 29 29 30 30 31 31 31 31 31 31 31 31 33 36 40 42 43 43 44 45 45 45 46 47 45 43 41 42 43 42 41 40 40 41 43 47 51 54 55 54 51 51 50 50 49 49 49 51 53 54 54 54 52 52 53 54 54 54 54 53 53 54 54 53 54 54 53 52 51 49 47 46 46 48 51 55 55 55 54 53 52 51 49 49 48 48 48 50 51 54 60 66 72 75 74 71 73 78 87 99 110 120 126 128 125 120 114 107 110 119 133 147 159 166 169 168 160 148 133 119 111 108 112 120 133 149 164 176 179 173 164 156 150 147 148 156 169 189 207 220 224 225 226 223 211 193 168 146 133 143 151 158 162 163 160 154 144 132 119 122 126 130 140 146 138 130 124 123 125 124 117 106 95 86 79 73 71 73 75 79 82 83 81 79 81 89 98 106 112 116 120 124 131 140 150 157 156 146 117 88 63 56 52 49 44 41 40 44 61 84 108 125 136 143 147 149 141 124 107 101 104 109 115 124 132 130 134 136 132 132 134 139 145 147 143 139 134 128 116 103 89 78 71 69 65 61 57 53 48 40 33 24 15 9 5 3 2 2 3 7 14 23 36 44 48 38 28 18 7 2 2 1 1 0 1 1 1 2 2 2 1 0 0 0 0 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 1 1 1 2 3 2 2 1 1 1 1 1 0 0 0 0 0 0 1 2 2 2 3 3 3 2 1 1 1 1
7 8 8 9 10 11 12 13 13 14 14 15 16 16 16 16 15 15 15 15 15 16 15 16 16 16 17 17 17 16 16 15 13 13 13 13 13 13 14 14 15 15 14 13 12 11 10 10 9 10 11 12 13 13 14 13 13 13 13 13 13 14 15 15 15 15 15 15 14 13 12 13 13 14 15 14 13 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 8 13 20 26 30 34 39 41 43 46 47 45 44 44 41 38 33 31 30 29 26 22 18 16 14 13 12 12 12 12 12 12 13 14 14 14 14 12 10 9 8 7 6 6 6 7 7 8 9 10 11 11 11 11 11 12 12 13 13 13 13 14 14 14 14 15 16 16 18 19 21 21 22 22 23 24 24 25 27 28 30 32 32 32 33 33 34 33 34 34 36 39 42 43 44 42 44 45 47 48 48 45 42 40 40 40 39 38 38 38 41 46 52 55 57 57 56 53 53 53 52 52 52 52 53 55 53 52 52 52 53 55 55 54 54 52 52 52 52 51 52 52 52 50 50 51 50 49 49 49 50 52 52 53 54 53 51 48 48 49 49 49 50 52 57 62 69 74 78 83 82 79 78 81 87 100 111 119 121 119 112 104 98 95 102 112 125 141 156 169 173 173 170 159 146 129 119 113 112 116 126 142 161 172 173 166 158 149 144 142 144 150 162 182 199 212 217 218 217 213 198 178 151 138 134 145 144 144 149 154 155 151 140 128 117 123 129 129 129 127 120 121 123 126 128 125 116 108 101 93 82 74 69 73 77 82 83 84 84 84 85 89 95 103 110 117 124 129 136 145 156 160 158 150 123 99 78 64 56 53 53 56 61 69 86 107 120 129 133 130 125 118 111 98 85 79 81 85 91 104 117 116 116 118 121 125 129 133 137 141 143 141 139 134 126 116 102 89 79 73 70 68 66 65 64 60 54 46 36 26 15 6 3 2 2 1 2 4 6 7 10 8 5 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 1 1 2 2 2 2 1 1 3 2 1 1 1 1 0 0 1 2 2 2 2 2 3 3 2 1 1 1 2
9 9 9 10 11 11 12 13 14 15 15 16 17 18 18 17 16 15 14 13 14 14 15 15 15 15 16 17 17 16 15 14 13 13 13 13 14 14 15 15 16 16 15 13 12 11 10 9 9 10 10 11 12 12 13 13 12 12 12 12 14 14 14 14 14 15 15 15 14 14 13 13 13 13 14 14 13 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 4 4 6 8 13 19 25 30 34 37 41 44 46 47 43 41 38 39 38 37 35 32 28 26 24 20 16 13 12 13 13 12 13 13 13 13 14 14 14 14 13 11 9 7 6 6 6 6 7 7 8 9 10 10 10 11 11 11 11 12 12 12 12 13 13 14 14 14 15 16 17 19 21 22 23 24 24 25 25 25 25 26 28 30 30 31 32 33 33 34 34 35 35 35 36 37 39 42 43 43 44 46 48 49 49 46 44 42 40 39 38 37 37 37 40 45 51 53 53 54 55 54 54 54 54 53 52 51 52 52 50 51 52 52 55 57 56 54 52 50 50 50 50 51 51 50 49 48 47 48 49 49 49 49 51 52 52 53 54 53 52 51 51 52 53 53 53 54 59 67 76 82 84 83 82 82 84 89 95 103 109 113 112 105 96 89 87 89 96 107 119 135 152 168 178 182 182 176 162 144 129 119 114 115 121 131 147 158 164 161 155 147 139 136 138 145 158 176 190 199 206 207 206 204 188 166 138 121 119 126 133 136 137 143 146 146 138 128 118 117 117 118 114 110 108 115 122 128 127 121 112 109 103 95 84 76 71 73 77 82 90 92 90 89 89 91 94 100 107 118 126 131 138 146 155 160 155 144 123 106 91 78 68 62 63 71 82 93 106 117 118 123 129 121 106 87 81 72 65 62 61 62 65 74 84 92 97 101 108 115 121 124 128 133 140 142 142 138 132 125 114 102 90 82 80 79 77 76 77 76 73 68 58 45 30 15 7 3 2 2 2 2 2 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 1 1 1 0 1 1 2 2 3 4 4 3 3 2 1 0 0 0 0 1 2 3 4 5 3 1 0 0 0 0
11 11 11 11 12 13 13 14 15 16 16 18 19 20 20 18 16 15 14 13 13 13 14 14 14 15 16 16 16 16 15 14 14 14 14 15 15 15 15 15 16 16 16 14 12 10 10 9 9 8 9 10 10 11 12 13 12 12 12 13 13 14 14 14 14 15 15 15 14 14 12 10 10 11 12 12 13 11 9 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 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 2 2 3 4 5 7 9 13 18 24 28 33 35 38 42 43 43 40 38 38 37 37 37 35 33 32 28 25 22 19 16 14 15 14 13 13 13 14 14 15 15 15 14 13 11 9 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 12 12 12 13 13 14 15 16 17 17 19 20 23 25 27 28 28 29 29 30 31 31 32 33 34 35 35 35 35 34 33 33 34 34 34 34 34 36 37 39 41 43 47 49 51 50 48 46 44 42 40 39 38 38 38 40 44 48 50 50 51 51 50 50 53 53 52 50 50 51 51 51 52 52 53 55 55 54 53 51 48 48 49 49 49 49 47 47 46 45 46 47 47 46 47 49 52 54 55 55 53 52 52 53 56 57 58 57 58 61 70 79 86 87 85 83 82 85 94 97 98 98 98 97 92 88 83 86 90 95 105 116 129 147 164 181 188 189 185 171 155 135 123 115 112 114 119 128 141 151 157 153 147 139 138 139 143 151 162 176 188 196 198 198 195 186 163 136 110 108 118 130 132 130 132 133 134 129 120 112 115 116 116 115 107 98 103 113 123 121 116 110 101 93 84 77 73 70 73 77 83 90 93 94 94 94 94 96 102 110 119 126 132 141 148 154 158 158 154 130 112 99 89 84 83 81 86 95 104 114 123 124 128 129 112 92 71 62 54 48 46 46 46 49 56 65 78 88 97 98 103 108 113 116 119 126 131 135 135 133 131 124 116 107 101 98 97 94 91 89 88 84 79 70 59 47 31 17 6 4 2 2 3 3 3 2 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 4 4 4 4 4 2 1 0 0 0 0 2 3 4 3 2 0 0 0 0 0
14 14 14 14 14 14 15 15 15 15 16 16 18 19 19 19 17 16 14 14 13 13 12 13 13 13 14 14 15 15 14 14 14 14 14 15 16 16 16 15 14 14 14 14 13 12 11 10 9 9 10 10 11 11 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 12 11 9 9 8 9 10 10 9 8 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 1 1 1 1 1 2 2 2 3 3 4 4 5 7 9 13 17 23 27 31 34 37 40 41 41 40 40 38 38 39 39 37 34 29 27 26 22 20 18 16 17 18 16 15 14 14 14 15 16 16 14 12 10 8 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 12 13 13 15 16 16 18 20 22 23 24 26 28 31 32 33 33 34 33 34 35 35 35 36 37 38 38 39 39 37 35 34 33 32 32 31 32 33 34 36 39 42 46 50 51 51 50 48 47 44 42 41 40 40 40 41 44 47 49 49 49 49 48 49 50 50 50 50 52 53 52 52 52 51 51 52 54 55 53 51 49 48 48 48 48 46 45 46 47 47 47 47 46 47 49 51 55 57 57 55 54 52 52 51 53 57 60 60 61 65 79 86 90 90 89 87 88 94 104 95 88 83 80 80 81 82 84 87 94 102 111 122 134 149 163 176 186 186 181 173 160 144 129 119 113 111 113 118 132 145 155 152 147 140 137 137 139 151 163 177 186 193 196 195 193 190 165 138 111 104 108 122 128 129 127 123 120 118 112 111 123 129 129 123 105 90 98 110 120 116 110 104 96 87 79 73 71 70 71 75 80 84 89 92 92 93 95 98 105 114 120 122 122 126 138 153 159 161 158 133 116 106 104 107 111 107 105 104 108 113 118 116 113 108 87 71 61 52 45 40 38 37 38 41 46 53 65 76 86 88 93 100 105 107 106 110 114 119 122 125 126 126 125 124 120 120 123 116 108 100 95 91 86 76 65 53 39 25 13 7 3 2 3 3 4 4 3 3 2 1 1 1 1 1 2 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 1 1 1 1 1 1 1 1 1 1 1 1 2 3 2 2 3 3 2 2 0 1 1 1 2 2 3 2 1 0 0 0 0 0
16 15 15 15 15 15 15 15 16 15 15 15 16 16 16 16 16 16 16 15 14 13 13 12 12 12 12 12 13 14 14 14 14 14 14 14 17 18 17 15 14 13 14 14 13 13 12 12 11 11 11 11 12 12 13 13 14 14 14 15 14 14 13 13 13 13 12 12 11 10 9 8 7 6 7 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 5 5 7 8 14 18 23 27 31 33 35 37 38 38 39 39 38 38 38 38 37 35 34 31 26 23 20 18 17 16 16 16 16 15 15 15 16 16 15 13 10 9 7 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 10 12 13 13 14 17 20 22 25 27 27 28 30 31 32 32 34 35 34 34 36 36 37 37 39 39 41 41 40 39 39 40 40 39 36 34 32 32 32 33 33 33 34 36 39 43 47 49 50 50 50 49 48 46 44 43 43 43 46 47 48 49 49 48 48 48 49 50 50 52 53 54 54 53 52 51 49 48 49 51 53 54 52 51 50 50 48 46 45 45 45 47 47 48 49 49 50 54 59 65 61 58 55 53 51 52 54 56 59 61 62 64 69 80 83 86 88 89 90 91 93 90 77 74 72 71 71 74 78 86 95 108 117 124 134 144 155 163 170 175 175 172 168 163 152 136 121 110 103 102 106 122 135 144 147 143 136 131 130 133 146 161 175 183 186 186 194 196 193 171 143 113 100 101 119 126 129 129 123 120 121 113 108 111 126 135 130 114 102 107 114 117 112 105 99 95 89 83 77 74 73 74 77 80 78 79 82 87 90 93 96 103 113 125 129 128 123 132 148 159 159 151 131 112 97 105 115 126 125 122 117 113 111 110 92 79 69 61 56 54 50 45 41 38 37 38 39 42 45 53 63 76 83 87 90 96 100 102 104 106 105 109 114 118 121 124 125 128 130 130 125 117 105 98 92 87 78 68 56 45 33 23 14 7 4 3 3 4 5 6 6 5 4 4 3 3 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 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 3 3 3 2 1 1 0 0 1 1
18 17 17 16 16 16 15 15 15 15 15 15 15 15 14 14 15 15 16 16 15 15 14 12 12 11 11 12 12 13 13 13 14 14 14 15 16 16 16 16 15 14 14 14 14 13 13 14 13 12 12 12 13 14 14 15 15 16 15 15 14 13 12 12 11 11 10 10 9 8 7 6 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 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 3 3 3 4 4 6 7 9 14 19 24 28 31 33 35 36 36 36 37 38 38 38 38 37 35 33 29 25 23 22 20 17 17 16 16 15 15 16 16 16 17 17 15 13 10 8 6 6 6 5 6 6 7 7 8 9 9 10 10 10 10 11 11 12 13 16 17 18 20 24 25 27 30 30 29 29 29 29 29 29 29 29 28 30 32 33 34 35 39 42 45 47 48 48 46 45 44 42 40 38 35 34 33 34 35 35 35 36 38 41 44 47 48 49 50 50 50 50 49 48 46 46 47 47 47 47 47 47 48 48 48 48 50 53 54 55 55 54 53 51 49 47 46 47 49 50 51 51 50 50 48 48 47 47 47 48 49 50 51 52 54 59 64 68 63 58 53 52 51 52 55 58 61 62 64 66 70 75 78 82 84 86 85 83 84 83 80 78 76 72 73 76 82 94 108 124 134 142 149 155 161 167 170 171 166 160 152 153 147 136 119 104 92 92 96 106 115 125 133 133 128 121 117 118 127 146 166 179 184 187 198 201 198 178 148 116 97 94 102 117 127 134 135 135 133 113 103 101 118 130 138 126 117 112 120 120 111 101 94 91 86 81 78 77 77 80 81 81 78 80 83 85 89 92 90 95 105 126 145 155 133 125 129 153 159 153 136 118 101 99 109 126 134 136 133 125 115 102 81 64 51 49 49 48 47 45 42 40 39 40 41 41 41 47 55 68 77 83 85 89 92 95 97 98 98 102 107 114 120 124 127 130 131 127 120 112 100 93 88 84 77 70 58 48 40 31 22 14 8 5 4 5 6 7 8 8 8 7 6 5 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 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 2 2 1 1 2 3 3
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19 19 18 18 17 16 15 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 16 16 17 18 18 18 17 16 17 17 16 16 16 15 15 15 15 14 15 15 15 14 14 15 15 16 16 16 15 14 13 11 10 8 7 6 6 6 6 5 5 4 3 2 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 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 5 6 7 11 14 19 23 27 30 32 34 35 36 37 37 37 37 37 36 34 33 32 30 27 25 22 20 18 17 17 17 17 17 18 19 19 18 16 14 12 10 8 7 6 5 5 6 6 6 6 7 8 9 9 11 11 12 13 15 18 20 21 23 24 22 22 22 22 22 22 21 20 20 20 19 19 18 18 18 18 19 20 21 22 24 27 31 34 39 44 49 54 57 59 59 58 54 49 46 43 39 40 40 39 38 38 39 41 44 46 48 51 53 55 57 58 57 55 53 50 48 48 46 46 45 46 48 49 48 47 48 49 50 52 52 53 51 50 50 48 46 45 45 45 46 46 45 45 46 46 47 49 51 53 54 55 57 59 61 64 65 64 62 58 57 57 56 56 58 63 67 69 69 70 73 76 79 81 82 83 84 85 85 91 95 97 97 98 100 99 103 109 122 134 144 153 159 156 161 167 173 170 161 140 125 114 117 113 103 90 79 72 70 71 74 80 86 91 92 89 84 86 94 112 131 151 165 174 179 183 181 173 146 117 88 78 77 87 102 117 131 133 129 118 102 92 103 117 128 131 129 126 128 125 119 100 90 87 88 86 80 78 75 72 69 68 70 73 75 79 84 86 85 85 92 117 138 153 153 138 123 131 149 168 165 149 128 121 124 134 146 152 153 143 132 120 95 74 57 50 48 53 52 50 48 48 49 51 52 52 53 56 59 64 69 75 80 82 83 83 84 86 86 86 87 92 99 107 122 133 139 131 121 107 97 88 83 80 77 73 67 61 54 46 39 31 24 16 10 7 6 7 7 7 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 3 6 10 9 8 7 5 3 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2
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18 18 18 18 17 16 15 14 13 12 12 12 11 11 11 12 12 12 12 12 13 14 15 16 16 16 16 16 17 17 18 17 17 17 17 17 17 17 16 16 15 14 14 15 16 16 16 16 15 15 14 15 15 15 16 16 16 15 15 15 15 15 13 10 9 8 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 8 9 12 15 19 22 26 28 30 33 34 35 36 37 37 37 37 36 35 33 32 30 27 24 23 22 21 19 19 19 20 20 19 19 18 17 15 13 11 9 8 7 6 6 6 6 6 6 7 7 8 10 11 11 11 13 14 17 18 20 20 19 19 19 19 20 20 21 21 21 22 22 21 20 20 20 19 19 18 18 18 18 19 20 20 20 22 23 24 27 31 35 40 46 53 59 65 66 65 63 59 56 53 50 47 45 43 44 45 46 47 48 51 54 55 56 57 58 58 55 52 50 50 50 50 49 48 48 48 47 47 45 44 46 48 48 49 49 49 50 49 47 45 44 44 44 44 42 42 43 44 46 49 51 54 57 61 66 71 75 75 73 69 67 65 62 60 58 57 59 62 65 69 72 75 77 80 79 79 79 79 79 82 87 91 96 101 106 110 110 106 111 119 129 138 146 153 154 154 152 152 152 151 143 132 118 109 106 102 93 78 65 53 43 36 31 33 38 44 43 47 54 57 65 78 97 115 131 139 145 149 156 158 152 133 110 86 73 68 72 86 105 122 132 135 109 90 75 85 101 123 123 119 112 121 126 114 99 85 82 82 83 82 79 76 71 69 68 69 69 69 71 73 75 75 79 87 108 130 150 157 159 157 163 170 167 161 154 144 139 137 128 123 120 124 124 121 110 98 86 81 77 72 69 67 66 64 63 62 63 64 64 65 67 68 71 74 78 80 81 79 77 73 74 76 78 79 82 86 91 98 109 120 128 128 122 114 101 92 84 80 76 71 66 60 53 45 37 29 22 15 11 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 3 3 3 2 2 1 3 4 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 1 3 4 5 5 5 5 4 3 3 3
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11 12 12 12 12 11 10 10 10 11 12 12 11 11 13 14 14 14 13 12 10 9 8 8 9 11 12 13 13 14 14 14 15 16 18 18 17 16 15 14 13 13 12 11 12 13 13 13 13 13 12 12 13 12 11 10 8 6 4 3 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 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 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 10 12 14 16 18 19 20 21 22 23 24 25 26 31 35 39 42 44 44 45 45 44 44 44 43 41 40 37 34 31 27 21 17 14 11 9 8 6 7 8 10 11 13 12 10 8 5 4 4 4 5 5 6 8 9 11 14 16 18 20 22 24 26 26 24 22 17 13 10 6 3 2 2 2 3 4 5 6 6 7 8 10 12 15 18 22 26 30 34 40 45 51 58 62 66 69 72 73 73 72 71 68 67 64 59 53 50 51 54 60 66 72 77 85 96 101 105 107 107 106 104 101 100 99 96 97 99 99 99 100 103 108 113 116 116 111 104 98 94 91 88 83 78 73 67 64 63 62 61 61 64 65 67 68 67 65 62 58 58 59 63 67 71 75 76 74 72 70 70 71 73 76 78 81 82 83 82 82 82 82 81 76 69 61 52 43 34 29 26 24 23 23 24 26 30 33 36 39 42 45 44 42 41 45 52 60 70 85 98 112 127 138 146 143 138 130 113 91 63 44 31 29 27 29 30 31 32 33 33 32 31 28 25 25 33 53 80 134 169 184 183 181 182 187 194 198 196 190 173 158 145 131 116 103 103 111 118 120 118 103 91 88 83 77 66 62 66 80 92 96 96 95 93 86 76 75 75 74 73 76 91 118 148 161 151 119 97 82 79 78 78 76 76 78 88 98 108 108 102 86 89 102 132 155 174 165 150 129 111 96 84 83 87 99 108 115 120 124 126 121 115 108 104 103 99 97 96 92 87 83 77 72 69 69 72 77 82 87 88 90 94 98 101 104 103 100 95 93 96 100 104 103 93 74 54 33 14 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 1
13 14 15 15 15 14 13 12 11 11 10 11 10 10 10 12 13 14 14 13 11 10 10 10 10 11 12 12 12 12 12 12 13 15 16 18 17 16 15 15 14 14 13 12 12 13 13 14 14 13 13 13 13 12 11 11 9 6 4 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 1 1 1 1 1 2 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 9 11 13 15 17 18 19 20 22 23 24 26 27 29 33 37 40 43 44 45 46 46 47 48 48 46 44 41 38 35 31 26 21 17 13 11 9 8 8 10 12 13 15 16 15 12 9 7 5 4 5 6 7 8 9 11 13 15 17 19 22 25 27 29 28 27 23 19 14 11 7 5 3 1 1 2 3 4 5 5 6 6 7 9 11 12 15 18 21 24 28 31 36 40 45 51 56 61 67 72 77 80 82 85 87 83 76 66 59 54 52 54 58 61 65 72 80 88 95 101 105 109 108 106 103 102 101 101 100 98 97 96 98 102 107 112 116 114 108 102 97 94 92 87 81 76 71 67 65 64 65 66 69 69 69 68 68 68 66 65 65 68 72 72 74 76 74 70 72 73 74 76 78 80 81 82 82 82 82 82 82 80 73 63 52 41 32 27 23 21 20 19 19 21 23 27 34 37 40 41 43 46 47 49 51 59 65 66 73 85 102 120 137 143 145 139 129 118 95 71 44 33 26 25 26 27 29 30 31 31 31 31 29 26 25 27 35 68 109 156 190 211 199 193 193 197 202 204 199 191 175 160 147 137 128 119 122 128 128 127 125 110 98 93 87 79 62 55 55 70 84 97 96 93 91 86 79 74 70 67 66 67 74 96 122 148 155 148 119 97 87 83 79 75 73 72 73 78 85 96 99 87 79 77 99 125 156 162 159 142 123 106 91 82 77 82 89 98 103 107 110 106 100 96 93 90 87 84 83 76 67 60 52 44 52 61 71 83 90 89 90 91 95 98 102 106 109 109 106 103 103 102 101 95 83 60 40 22 11 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 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 1 2 2 2 2
17 18 18 18 17 17 16 16 15 14 14 12 11 10 10 10 11 12 13 13 12 11 11 10 10 11 11 10 10 11 11 11 12 13 15 16 16 17 17 16 15 13 12 12 12 12 13 14 15 14 14 13 13 12 11 10 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 0 0 0 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 12 14 16 18 19 19 21 22 24 26 29 32 35 38 41 42 44 46 48 48 49 50 50 50 48 46 42 38 35 31 26 23 19 16 13 11 11 12 12 14 16 17 18 17 14 11 8 7 5 6 6 8 9 11 12 14 17 20 22 25 29 31 33 32 31 26 21 16 12 7 5 3 3 2 2 3 3 4 5 5 5 6 6 7 8 9 11 12 14 16 19 21 23 24 30 36 42 48 55 63 71 79 88 94 99 102 97 88 76 65 56 50 49 48 49 53 59 67 74 82 92 100 103 104 107 110 112 112 108 105 103 101 100 101 104 108 111 112 108 102 96 93 90 87 83 79 75 72 69 68 70 72 74 73 71 69 69 69 68 68 68 70 71 72 73 73 71 72 75 77 78 80 81 82 83 83 83 82 81 77 74 70 56 43 34 26 18 18 18 17 16 16 18 21 25 30 35 38 40 42 44 46 48 53 58 62 64 63 69 78 95 117 139 142 139 131 119 103 75 53 34 27 23 23 24 26 28 29 29 29 29 28 26 25 26 35 47 87 131 180 207 221 205 199 199 204 207 208 202 193 177 161 145 136 133 135 135 134 126 120 113 106 102 100 87 73 60 51 47 61 75 89 92 97 109 102 90 76 63 51 52 52 52 63 82 120 149 171 151 127 102 89 79 73 70 68 69 72 75 83 88 86 79 73 81 100 129 150 159 152 134 115 99 85 75 73 75 81 83 84 87 86 84 86 84 80 74 67 62 51 37 30 29 33 46 56 63 72 81 86 91 95 96 99 105 112 119 118 116 111 105 97 86 71 55 40 27 15 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 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 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 1 2 2 2 3 3 3
18 18 19 18 18 17 16 16 15 15 15 14 13 12 10 9 9 10 11 12 12 12 12 11 11 11 11 11 11 10 9 10 10 12 13 14 16 17 17 17 15 13 12 12 12 13 13 14 15 15 14 13 12 12 11 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 0 0 0 1 1 1 1 2 2 2 2 2 3 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 8 10 12 13 15 17 18 20 21 22 24 26 29 32 36 39 42 45 47 48 49 49 50 51 52 51 50 48 45 41 37 33 29 26 23 21 18 16 15 14 14 15 15 16 17 18 18 15 12 9 7 6 6 6 8 10 12 15 17 20 24 26 29 32 34 35 33 31 25 20 16 12 8 5 2 2 2 3 3 4 4 5 5 5 6 6 6 6 7 7 8 9 9 11 12 13 14 15 19 25 31 36 43 50 59 69 80 90 101 108 110 103 91 77 65 56 51 46 44 43 45 50 55 60 66 73 82 89 98 107 116 118 117 116 114 110 107 105 105 107 108 109 108 101 95 90 88 87 86 83 80 77 75 75 76 77 79 80 76 72 69 67 66 65 67 68 69 70 72 73 74 76 77 79 81 82 84 85 86 83 81 78 74 68 58 48 34 25 18 16 14 13 13 12 14 16 19 22 26 29 32 34 37 39 43 45 48 57 62 62 62 62 67 79 95 114 130 137 132 122 104 82 54 40 30 24 22 22 25 27 29 29 29 28 27 26 24 24 27 48 76 115 159 206 220 222 206 195 192 205 210 211 204 194 180 165 151 144 146 152 142 129 112 104 97 92 89 87 77 67 56 48 43 49 62 78 93 106 117 106 92 78 65 53 45 40 39 43 54 79 121 164 165 150 122 99 82 73 68 66 70 73 76 76 78 82 79 77 87 103 125 149 163 161 145 125 108 94 82 75 71 71 72 74 75 74 74 75 73 70 63 54 43 30 17 20 26 33 42 48 46 57 72 83 91 97 99 102 110 119 126 126 121 112 98 82 65 50 35 25 17 11 8 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 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 1 1 2 2 1 2 2 3
17 16 15 16 16 15 14 14 14 14 13 12 12 11 10 9 9 9 10 11 12 13 13 12 11 11 11 10 10 10 10 10 11 12 13 14 16 17 18 19 18 17 16 15 15 15 14 15 16 15 14 13 12 10 9 7 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 1 2 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 6 7 9 11 13 15 17 18 19 21 22 24 26 28 31 35 39 42 45 48 50 52 53 53 53 54 53 52 49 46 43 39 35 32 29 26 23 21 20 19 18 17 18 18 17 17 17 18 18 16 14 11 8 7 7 8 9 11 14 17 21 25 28 31 33 33 34 34 32 29 24 19 15 10 8 5 3 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 8 9 9 9 11 12 14 16 19 23 28 33 39 46 55 65 77 90 101 107 106 99 89 79 69 61 56 50 45 41 43 46 49 53 57 63 71 79 90 101 110 117 121 121 119 115 112 109 109 109 110 109 105 98 92 90 89 89 88 85 83 83 83 84 84 82 79 76 72 69 67 65 63 66 70 71 72 73 75 76 78 80 81 84 86 86 86 85 77 70 63 57 49 36 27 19 14 10 10 10 10 11 12 15 17 19 21 23 25 28 31 34 39 44 47 51 59 62 63 62 63 67 82 100 119 131 139 129 114 91 68 47 35 27 24 23 24 26 28 30 30 29 27 24 22 22 26 32 65 101 140 180 215 232 222 196 185 186 208 215 217 208 195 178 163 153 152 156 159 140 124 110 101 94 89 81 73 66 59 52 43 37 37 48 64 82 97 110 108 103 94 78 60 44 36 33 32 36 50 83 122 153 163 158 129 102 82 73 69 71 76 81 78 76 76 76 76 86 100 118 139 152 155 147 135 119 104 92 80 72 70 70 71 72 71 69 67 64 58 52 44 32 22 13 17 22 30 38 45 49 59 73 81 87 93 98 103 110 117 124 123 118 106 86 65 49 36 25 18 13 12 9 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 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1
16 15 14 14 13 12 11 11 11 12 12 11 11 10 10 10 9 8 9 10 11 12 13 13 13 13 13 12 11 10 10 11 11 12 13 14 15 17 19 19 19 18 18 18 17 16 17 16 16 15 13 12 11 9 7 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 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 1 2 2 2 2 2 2 2 2 3 3 4 4 4 4 5 7 7 9 10 12 14 16 17 19 21 23 24 25 27 29 33 37 42 46 49 51 53 55 56 57 56 54 52 50 46 43 40 37 34 30 27 24 23 22 20 19 20 20 20 21 20 19 18 18 18 17 14 12 11 10 10 12 14 16 19 22 26 29 33 35 36 35 34 31 29 26 22 18 14 10 7 6 4 3 3 3 4 5 6 6 6 6 6 6 7 7 8 9 9 10 11 11 11 10 11 12 13 14 16 18 20 23 27 33 40 49 58 69 80 90 95 97 97 93 88 83 75 70 66 60 54 52 51 52 53 57 61 65 71 78 88 101 110 119 127 128 123 119 115 111 109 107 110 110 106 101 97 96 95 93 90 86 85 86 88 86 84 80 76 73 71 70 69 69 71 72 73 75 77 80 82 84 85 86 86 85 83 78 72 63 52 41 34 24 11 10 10 9 8 9 10 11 13 15 17 18 19 21 23 25 29 33 37 42 47 50 53 56 59 62 64 69 74 87 104 124 131 132 122 104 80 59 43 32 28 25 25 26 27 29 31 30 28 26 23 20 19 31 49 82 120 160 190 214 228 208 185 180 190 210 222 224 212 192 169 148 144 155 158 156 141 129 118 110 102 95 83 71 61 53 46 38 31 27 33 44 66 86 107 114 111 97 82 67 51 40 31 23 21 27 49 78 116 145 166 148 126 101 84 72 70 69 70 70 71 73 73 72 75 79 86 94 106 126 139 146 130 116 103 91 81 74 72 71 71 70 69 67 65 61 53 44 31 25 27 25 24 25 28 33 44 56 68 73 79 85 91 97 104 110 116 113 105 92 74 54 40 28 20 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
14 13 13 12 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 14 14 13 12 12 12 12 13 13 14 14 15 16 17 18 18 18 17 17 16 16 16 16 15 15 12 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 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 4 4 4 4 5 6 6 7 9 11 12 14 15 17 19 20 22 23 24 28 30 32 35 40 45 50 53 56 57 58 58 59 57 54 50 47 42 39 36 33 30 28 25 23 21 21 21 20 21 22 22 23 22 22 20 19 18 17 15 13 11 11 12 14 18 22 25 26 29 33 34 35 36 35 32 30 27 24 20 17 13 10 7 5 3 2 2 3 4 5 6 7 8 8 8 8 10 11 11 12 15 16 17 17 17 16 15 15 15 14 15 16 18 19 23 27 33 41 49 59 68 76 81 87 88 87 84 83 81 83 84 85 85 82 74 67 63 62 64 71 77 81 85 91 97 102 112 121 126 127 127 121 116 111 110 111 113 114 112 109 106 102 99 92 87 82 82 82 82 80 77 75 72 72 73 75 76 76 77 78 80 82 85 87 88 88 86 84 80 70 58 49 39 28 20 15 11 7 8 8 8 9 10 11 13 16 18 20 21 22 24 26 30 34 38 43 48 52 55 58 61 64 66 69 75 82 92 107 123 129 125 114 94 72 50 38 30 28 27 27 28 30 31 31 32 29 26 22 20 20 38 64 101 141 179 200 209 211 195 181 174 188 208 223 227 218 194 170 151 152 162 160 152 140 127 117 115 110 103 89 76 63 52 42 35 28 21 23 31 48 69 89 104 108 101 91 79 66 52 38 29 22 20 28 41 66 98 133 140 139 125 106 87 78 74 73 75 76 78 78 76 69 63 57 54 67 107 133 151 142 132 122 108 95 85 79 74 73 72 72 70 67 59 51 45 37 37 48 40 30 23 23 27 37 47 58 65 71 76 82 89 95 99 102 99 92 74 57 40 28 19 13 11 11 10 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 0 0 0 0 0 0 0 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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