Vorticity
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nan 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 7 7 7 7 8 8 9 10 10 10 9 8 9 9 10 10 10 10 11 13 14 14 13 13 12 12 11 11 11 13 14 14 12 11 9 8 6 5 5 6 7 8 9 10 11 12 12 11 8 7 6 6 6 6 5 5 5 5 5 5 6 7 9 10 11 11 11 11 12 14 16 17 17 16 15 14 15 16 15 14 13 12 12 11 11 10 10 10 10 9 9 11 14 17 15 11 7 5 6 7 8 9 10 11 10 10 10 10 10 9 8 8 8 7 7 6 6 7 9 10 10 9 8 8 8 9 10 11 12 12 11 9 8 8 8 9 11 13 14 13 13 13 13 13 12 10 10 12 14 15 15 13 9 6 5 5 7 8 9 9 11 13 15 15 nan
nan 8 8 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 5 5 6 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 10 10 10 11 13 14 14 14 14 13 13 12 11 10 10 11 12 13 12 10 8 7 6 5 5 7 8 8 8 9 10 10 11 10 8 7 6 7 7 7 7 7 7 8 9 11 12 12 11 9 9 10 10 11 11 12 13 15 16 17 18 17 17 17 16 15 13 13 12 11 11 11 10 10 10 10 9 10 13 15 16 14 11 9 8 9 10 10 10 10 10 10 11 12 12 11 10 9 8 9 9 8 8 7 8 9 10 10 10 10 10 10 9 9 10 10 9 8 6 5 5 7 11 15 16 16 15 14 14 13 12 11 12 14 15 15 16 14 12 8 6 5 6 8 8 8 10 13 14 14 nan
nan 8 8 8 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 7 7 7 8 9 8 8 8 9 9 10 12 14 15 15 14 13 13 12 12 11 10 11 12 13 13 12 10 8 6 6 5 6 7 8 8 8 8 9 9 9 8 6 5 5 5 6 6 7 8 9 11 12 14 15 13 9 8 9 11 13 14 12 10 9 11 13 16 18 19 18 18 17 15 14 13 12 11 11 11 12 12 11 11 11 11 11 13 14 16 16 13 11 10 11 12 12 11 11 11 12 13 13 12 10 8 8 9 10 10 10 9 9 9 9 10 11 11 11 9 8 8 8 8 8 8 6 5 5 6 9 14 16 17 16 15 14 13 13 14 14 14 13 11 10 9 7 5 5 5 6 7 6 6 8 10 12 13 nan
nan 8 8 8 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 10 12 15 16 15 14 13 13 12 12 11 11 11 12 14 15 13 10 8 5 4 5 5 6 7 7 7 8 9 9 9 7 5 5 4 4 4 4 5 6 8 9 11 13 13 10 8 8 11 16 18 18 15 11 7 7 9 13 16 18 19 19 19 17 15 13 12 12 12 12 13 14 14 14 13 12 11 11 13 14 15 13 11 11 12 14 14 14 14 13 14 14 13 11 9 8 8 9 11 11 11 10 9 9 9 10 11 11 10 9 8 8 9 9 10 10 9 8 7 7 8 11 15 17 18 16 15 15 17 18 18 14 10 4 1 1 2 3 5 7 8 8 7 6 7 9 10 11 nan
nan 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 7 8 9 9 8 7 7 7 8 9 12 14 16 16 15 14 13 11 10 10 10 10 12 13 14 14 11 8 5 4 4 4 4 5 5 6 7 8 9 9 9 9 8 7 6 4 3 2 3 4 6 7 9 10 7 7 11 15 20 21 20 17 12 7 4 6 10 14 17 19 20 20 19 17 16 14 13 13 13 13 13 13 14 14 14 13 12 11 10 9 8 8 10 12 14 14 15 15 15 14 13 12 11 9 9 9 10 10 11 11 11 10 8 8 9 10 10 10 9 9 10 10 10 10 10 9 8 7 7 8 12 16 19 20 19 17 18 20 21 19 13 6 -1 -4 -3 1 3 6 9 10 10 9 9 9 9 9 10 nan
nan 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 9 10 10 8 7 6 7 7 8 10 12 15 16 16 15 13 10 10 10 9 9 10 11 13 14 12 9 7 6 5 5 4 4 4 5 6 6 7 8 9 11 11 10 8 6 3 2 1 2 3 5 7 7 6 6 11 16 19 20 18 15 10 6 3 4 8 12 15 17 19 19 19 18 16 14 14 13 12 11 10 10 11 13 14 14 12 9 6 4 3 5 9 12 14 15 15 15 15 14 12 11 10 9 10 10 10 11 12 12 12 10 9 9 10 11 12 11 11 11 11 10 9 7 6 5 3 2 4 8 14 20 22 22 20 16 16 17 17 15 9 1 -4 -5 -1 2 5 7 8 10 11 11 11 11 10 9 9 nan
nan 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 4 5 5 6 8 9 9 8 7 6 6 7 7 8 10 12 14 15 14 13 11 9 9 9 8 8 10 12 13 13 12 11 9 8 7 6 5 5 3 3 4 5 6 7 8 9 10 9 7 5 4 3 3 4 5 6 6 5 5 8 11 14 15 13 11 8 5 3 4 7 10 12 13 14 15 15 13 12 12 12 12 11 10 9 8 9 11 12 12 11 8 6 4 3 6 10 12 14 15 15 16 17 16 14 11 9 8 8 9 10 11 12 13 13 11 10 11 12 13 14 14 13 12 11 10 8 7 5 4 3 1 4 10 16 21 23 21 16 11 9 10 10 8 4 -2 -5 -3 3 8 9 9 9 9 10 11 11 12 11 11 10 nan
nan 10 10 10 10 10 10 9 9 8 7 7 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 6 7 8 9 9 8 7 6 6 7 8 9 11 12 14 14 13 11 9 8 7 7 7 9 12 14 14 14 13 13 11 10 9 8 7 5 4 4 5 5 4 4 4 6 7 8 7 6 6 6 6 6 6 6 6 5 5 6 7 7 7 6 5 4 4 4 7 8 9 9 10 9 9 7 7 7 8 10 10 10 10 9 9 10 11 11 10 9 7 6 7 10 12 12 12 12 13 15 18 19 18 15 12 9 9 10 11 11 12 13 13 12 12 13 14 15 16 15 14 12 11 11 10 9 9 9 9 9 10 13 17 20 21 18 11 4 2 3 4 5 4 -0 -2 1 7 13 15 14 11 8 8 9 10 11 12 12 11 nan
nan 11 11 11 11 10 10 10 9 8 7 7 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 7 7 7 6 6 5 5 5 5 6 6 6 7 9 11 11 10 8 7 6 7 8 10 11 11 12 13 12 11 9 7 6 6 6 9 12 15 16 16 15 15 15 14 12 11 10 10 10 9 9 8 6 3 3 4 6 8 8 8 7 7 7 8 8 8 8 6 5 4 3 3 3 3 3 4 4 6 7 8 9 8 7 6 5 5 5 5 7 9 10 10 10 10 10 10 11 11 10 9 8 8 10 11 12 11 11 11 12 15 17 19 19 18 15 13 12 12 12 13 13 13 12 12 13 14 15 15 16 16 14 13 11 10 11 12 13 15 17 18 17 17 18 18 19 16 8 2 -2 -0 3 5 7 5 4 7 11 15 17 15 11 7 5 6 7 9 10 11 11 nan
nan 12 11 11 11 11 10 10 9 8 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 7 7 8 10 11 12 11 9 8 7 7 9 10 11 11 11 11 11 10 9 7 5 5 6 8 13 17 18 18 17 16 15 14 14 12 12 13 13 14 13 12 9 7 6 6 8 9 8 7 6 6 6 8 10 11 10 8 6 4 4 3 4 5 5 6 6 7 8 9 10 9 7 5 5 5 7 8 8 9 10 10 10 10 10 11 11 11 10 9 9 10 10 11 10 10 10 11 12 14 14 14 14 15 15 14 12 12 13 13 12 12 11 11 13 13 13 13 13 13 13 12 10 9 9 10 12 15 17 19 18 17 17 16 16 14 8 3 -0 -0 3 6 9 10 10 12 14 15 15 13 9 6 4 4 4 6 8 9 11 nan
nan 12 12 12 12 11 11 10 9 8 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 7 7 7 7 8 8 10 11 11 10 9 8 8 9 10 10 10 9 9 9 8 7 6 5 5 6 9 14 19 20 19 17 15 13 11 10 10 10 11 12 13 13 13 13 12 12 13 14 12 8 5 3 3 4 7 10 12 11 10 9 7 7 7 8 9 10 11 10 11 11 11 10 8 5 4 4 5 8 9 9 9 9 9 9 10 11 11 11 10 10 9 9 10 10 10 10 9 10 10 11 11 9 8 8 9 11 12 10 9 9 10 10 11 10 10 11 11 11 10 10 10 11 11 9 7 6 5 5 7 11 13 14 14 14 14 14 13 10 6 3 2 4 7 9 11 13 14 15 15 14 11 9 7 6 5 4 5 6 8 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
31 43 49 47 40 34 30 30 30 29 28 27 25 25 27 32 35 37 38 42 47 51 57 72 81 82 80 80 81 81 77 68 63 61 62 63 68 72 72 75 80 86 95 107 113 110 117 118 114 113 109 106 111 128 156 170 162 139 119 100 87 80 75 71 71 79 88 91 91 93 89 83 83 73 65 64 61 54 49 47 48 48 54 77 77 80 97 110 104 86 80 77 72 68 66 67 71 83 123 148 158 154 146 139 143 151 175 186 178 181 221 303 389 314 219 144 91 57 37 29 33 23 8 1 0 0 0 0 0 1 15 11 4 1 0 0 0 0 0 0 0 4 27 96 218 306 271 217 177 153 141 130 120 107 93 81 75 70 66 73 92 116 138 132 132 129 128 123 95 53 42 49 53 49 50 69 100 120 112 88 58 44 43 40 26 10 7 10 9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0
29 35 42 45 42 37 34 32 30 29 28 28 27 26 27 31 35 36 38 42 49 55 64 80 94 103 108 109 106 101 98 93 90 83 73 67 66 65 61 61 64 70 80 95 109 111 123 124 128 124 115 108 108 129 162 171 168 148 122 101 90 83 81 80 79 80 83 85 84 84 79 80 81 74 64 60 56 47 43 44 46 48 54 76 69 78 97 109 105 91 79 71 66 64 63 67 74 91 137 146 177 207 230 237 234 224 227 225 210 211 247 310 345 272 217 130 82 62 53 44 40 39 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 21 81 194 311 324 267 227 192 157 132 125 121 121 116 103 84 71 74 93 122 154 114 72 39 44 67 66 38 33 46 52 47 46 56 71 78 76 60 38 28 27 28 23 12 10 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 31 35 37 37 34 32 31 28 27 26 29 27 27 26 28 32 35 36 40 47 54 63 78 98 121 135 133 122 112 106 104 104 103 90 81 75 69 64 61 62 64 71 81 92 103 117 124 130 122 111 106 110 128 151 146 152 143 120 101 95 90 89 87 82 77 76 76 77 80 79 79 81 77 67 59 53 45 41 43 48 52 61 74 72 77 95 108 106 93 77 66 60 58 59 64 71 90 117 115 166 220 259 281 286 279 274 265 250 243 246 268 270 224 167 85 67 63 46 30 25 35 38 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 52 144 264 333 303 260 221 159 122 118 125 137 124 92 75 63 63 77 102 133 116 55 20 16 30 37 30 31 41 43 35 33 47 60 56 40 23 14 17 21 24 21 13 9 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 31 33 33 32 29 28 28 27 25 26 28 28 27 25 25 29 32 34 36 41 46 53 65 88 119 145 155 137 113 104 104 110 117 115 106 94 85 75 69 66 65 65 67 74 84 96 106 98 87 87 90 97 107 113 113 120 119 107 98 93 90 90 87 80 75 73 71 71 72 69 71 76 73 65 58 51 43 40 45 51 59 69 79 79 78 95 107 104 89 74 63 56 51 51 57 63 76 87 94 135 196 233 258 267 262 254 239 205 176 180 178 166 132 85 54 42 44 24 13 15 23 24 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 19 74 169 259 278 235 197 150 120 115 122 124 109 77 57 41 39 57 91 137 170 106 58 43 39 34 30 34 42 39 28 29 44 50 34 12 4 2 16 20 21 18 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
30 30 29 30 27 25 24 25 24 23 26 28 27 26 24 25 27 30 32 33 34 37 41 51 68 94 118 126 113 96 93 98 109 123 134 134 121 113 99 88 79 75 71 68 70 74 80 81 79 74 73 75 76 80 86 91 94 96 92 85 81 81 83 81 74 69 66 66 68 69 66 64 68 66 61 57 50 42 38 43 51 60 72 78 77 78 88 101 95 80 67 58 50 43 40 45 52 59 64 77 110 156 196 209 207 189 169 153 132 105 96 76 68 50 34 26 18 21 12 7 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 64 129 174 158 127 127 128 124 130 139 129 96 71 57 52 78 113 151 189 193 151 105 68 43 34 40 48 46 35 33 37 24 10 2 3 11 20 23 22 20 17 13 7 3 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0
28 28 26 29 26 24 23 22 22 22 27 27 26 25 26 27 28 30 32 32 33 33 37 45 56 73 83 83 78 74 78 86 101 121 141 155 157 154 138 113 96 89 84 78 76 78 80 83 81 78 76 75 72 74 80 84 83 81 74 63 67 74 76 74 67 60 58 60 66 67 61 55 57 59 57 57 51 41 38 42 51 58 70 76 74 73 79 89 84 72 61 52 42 34 31 35 43 44 47 63 88 117 143 151 140 107 77 60 50 41 34 13 15 13 11 9 7 7 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 1 10 34 55 60 56 82 115 131 144 168 184 171 153 150 141 140 145 163 203 255 259 172 88 49 42 47 51 48 42 31 18 5 1 6 16 25 21 21 21 22 23 20 14 6 1 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0
27 28 28 29 25 23 21 21 22 24 26 26 25 24 24 26 28 30 33 34 34 35 38 45 54 64 65 57 52 55 62 74 91 113 138 164 178 176 153 116 96 92 95 98 99 98 91 90 88 85 83 81 77 77 81 79 76 69 60 53 61 69 71 70 64 58 55 56 64 68 60 54 54 56 55 58 53 46 44 49 56 62 68 74 70 68 75 80 76 71 58 48 36 25 22 27 34 32 35 49 65 86 105 103 83 48 23 13 14 20 16 0 0 0 0 0 0 1 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 3 6 10 15 34 70 115 142 157 181 206 204 208 207 162 151 165 207 267 287 207 96 48 47 54 54 53 54 33 4 1 0 16 26 23 16 14 21 26 27 25 17 7 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0
23 26 28 30 29 26 22 23 24 25 25 24 24 25 25 25 27 30 32 34 35 36 38 43 50 54 53 43 41 43 52 66 86 110 135 155 159 143 114 86 76 82 97 113 119 114 102 96 88 86 85 86 84 81 80 75 70 65 58 55 59 65 66 67 63 57 54 56 61 64 57 52 54 56 56 57 52 46 44 51 59 65 67 68 67 66 70 72 71 69 59 46 32 20 17 19 23 23 27 35 48 63 66 62 47 21 3 0 6 16 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 3 12 42 108 167 174 161 156 168 184 197 150 129 144 168 217 248 196 98 47 48 57 60 63 65 50 0 0 7 22 21 14 12 14 22 27 26 21 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
22 23 25 26 27 26 25 25 26 24 23 23 26 29 29 25 25 27 30 32 34 34 36 39 43 44 42 38 41 47 55 69 88 109 125 128 110 83 62 55 61 78 99 120 128 117 103 94 85 83 79 86 87 83 78 73 67 66 61 59 61 62 60 61 58 54 53 57 60 59 51 48 51 53 58 60 58 49 42 46 55 61 62 64 68 64 64 68 72 70 60 45 29 17 14 15 17 20 23 28 39 54 54 43 28 12 1 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 1 29 97 186 234 195 163 135 113 112 128 122 115 120 146 207 223 164 86 53 57 70 70 61 46 25 0 1 11 11 11 12 15 20 23 24 21 13 7 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
17 20 22 23 24 24 23 23 23 22 22 24 27 30 30 26 25 26 28 31 32 33 34 36 39 39 37 39 48 57 68 82 100 112 109 90 63 43 40 47 62 82 104 126 136 126 108 94 83 75 71 75 76 75 71 67 64 64 63 65 62 59 56 55 49 44 48 55 59 58 54 50 51 53 56 59 55 49 43 44 53 62 66 67 66 62 59 67 74 70 58 44 29 17 14 15 17 19 20 24 32 45 47 32 17 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 15 90 197 265 240 160 156 158 154 157 144 112 126 126 124 178 198 154 91 71 83 89 60 32 12 2 2 5 7 11 18 26 35 38 32 22 18 19 14 11 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0
14 16 18 20 21 21 21 21 20 20 21 23 26 28 27 25 24 24 27 30 32 34 36 38 41 44 44 49 58 69 82 93 107 108 90 65 46 41 43 54 70 86 99 112 123 124 108 88 76 70 67 66 66 65 62 60 59 60 60 62 55 53 50 47 42 40 45 52 53 49 48 50 52 54 54 58 56 49 43 43 51 60 67 69 65 59 58 66 73 67 56 44 32 20 13 13 14 17 19 23 30 37 41 24 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 44 148 244 252 166 84 69 59 147 186 172 142 136 133 108 126 147 135 108 97 98 74 21 5 1 4 14 26 26 25 34 43 45 40 29 18 16 19 14 18 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0
13 15 15 16 17 18 19 21 23 22 21 22 23 24 24 23 23 25 28 31 33 36 41 46 52 57 59 61 67 82 93 97 97 88 68 52 46 48 54 65 78 84 84 85 90 95 89 71 61 60 62 62 60 58 57 58 60 60 56 51 46 48 43 40 38 39 45 50 50 46 46 50 53 54 54 58 52 46 41 40 45 53 62 70 69 59 57 64 70 63 54 45 34 22 14 13 14 16 19 24 30 36 36 18 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 2 53 152 216 198 132 81 70 80 172 180 195 181 146 120 86 78 108 133 132 107 70 29 0 0 11 27 43 47 39 33 38 45 40 26 15 10 8 5 4 10 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0
12 13 14 14 14 16 18 21 22 23 22 22 23 23 21 20 21 24 27 30 33 38 46 54 62 71 81 93 96 102 105 97 84 71 59 53 53 55 63 73 79 75 66 60 62 67 69 64 60 60 60 59 56 55 57 60 63 62 54 48 47 44 38 37 39 42 46 49 48 45 48 50 53 52 52 56 53 48 41 37 38 44 52 65 71 60 57 62 65 57 50 46 38 27 17 13 14 16 19 25 32 37 32 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 16 7 0 0 0 0 0 0 0 0 0 2 6 13 17 12 5 1 0 0 0 0 0 0 0 0 7 45 133 197 186 147 119 109 113 163 159 169 166 139 103 70 58 95 145 139 79 25 4 3 18 52 72 77 67 52 43 44 44 34 21 10 7 6 4 1 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0
12 12 13 12 13 14 16 19 20 21 22 22 21 20 20 20 22 22 24 27 31 37 44 51 62 76 98 126 142 137 125 104 86 74 67 62 61 63 74 80 77 67 59 54 55 59 64 66 65 64 61 58 56 55 56 59 61 60 53 50 44 39 36 36 39 44 47 48 47 46 50 51 50 50 51 53 52 46 37 31 31 37 46 57 65 58 54 60 61 55 48 46 41 30 20 16 17 22 27 29 35 37 30 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 16 19 7 0 0 0 0 0 0 0 0 3 9 19 34 49 49 32 12 2 0 0 1 1 1 2 3 16 66 158 232 229 204 160 111 77 79 86 119 141 140 124 104 99 124 155 109 38 4 5 22 63 108 123 105 77 55 45 42 39 29 20 12 10 8 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 13 13 14 14 13 15 16 17 19 19 21 23 23 22 22 21 20 22 24 27 32 37 44 54 71 93 122 141 143 134 118 102 88 77 69 65 67 80 83 77 69 64 63 66 69 71 69 64 60 58 56 54 54 54 55 55 54 50 46 39 36 36 37 40 44 47 46 44 45 47 48 47 47 50 52 50 42 32 25 24 31 44 57 62 55 47 54 56 52 47 44 41 34 26 23 26 34 40 37 39 34 24 12 3 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 2 8 20 35 56 81 90 65 29 7 1 1 2 4 5 11 29 58 114 192 257 235 215 171 112 65 37 33 81 141 168 169 161 162 184 213 105 28 10 29 65 109 138 143 114 87 72 64 55 44 35 28 16 14 10 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 15 15 16 15 14 13 14 16 16 16 16 18 18 19 20 21 22 23 23 25 30 35 41 49 63 82 101 116 121 120 118 112 95 79 68 62 65 77 81 76 73 74 77 78 78 75 67 61 56 54 51 49 50 48 48 48 46 43 40 36 35 37 39 41 43 45 43 43 46 48 49 48 48 48 49 45 38 29 24 23 32 47 56 59 53 44 50 51 46 42 42 41 38 35 34 38 39 38 34 30 22 9 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 2 5 15 31 50 71 92 104 75 31 7 0 1 4 6 11 24 83 154 204 248 288 255 221 178 122 78 60 66 105 164 190 184 175 187 226 245 126 42 44 81 117 139 146 133 105 87 84 82 72 58 47 36 18 8 3 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 16 16 16 15 14 12 12 15 15 14 14 15 16 17 18 19 20 21 22 23 27 32 39 47 58 70 79 92 93 96 96 92 81 68 59 58 63 71 74 72 72 73 74 72 68 62 53 48 47 45 45 45 45 42 43 43 42 39 37 35 36 38 40 41 42 42 40 41 44 47 48 48 49 48 48 45 36 27 23 27 38 50 54 55 48 42 47 48 41 38 38 37 34 32 32 31 25 20 16 12 8 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 2 2 3 5 17 37 58 74 85 85 53 21 8 4 3 4 11 26 48 137 261 333 355 345 296 250 203 147 104 87 97 131 167 167 135 117 135 187 222 172 94 114 141 149 149 145 131 112 101 97 87 70 56 48 38 15 5 2 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0
15 16 16 15 15 15 13 12 13 13 14 14 13 14 15 17 18 20 21 22 23 25 29 38 49 59 68 75 79 76 74 71 68 64 58 55 60 67 70 69 67 64 61 59 57 52 47 41 38 36 36 37 39 40 39 41 41 39 36 34 34 36 39 40 39 39 39 38 40 43 45 47 46 47 47 46 41 31 24 23 29 39 49 50 51 46 42 43 44 39 35 30 24 17 12 10 9 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 0 3 8 9 5 2 7 26 50 67 70 59 39 26 21 13 8 12 32 65 105 172 286 379 384 357 322 270 214 158 103 79 94 133 164 146 86 57 73 133 199 213 173 175 170 152 140 135 127 109 92 85 74 54 44 39 30 14 5 3 2 2 1 1 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0
14 15 15 15 15 15 14 13 13 14 15 16 15 14 15 17 18 19 20 22 24 26 30 40 52 61 66 68 69 66 58 53 53 55 58 62 69 75 75 72 67 62 57 53 49 44 39 35 32 31 31 33 35 35 36 37 37 35 32 31 30 33 37 38 38 37 36 37 39 42 44 43 42 43 43 40 33 25 19 22 31 41 47 45 43 42 39 39 37 33 26 17 9 4 1 0 0 0 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 3 17 22 15 6 2 10 30 50 56 51 45 43 43 31 22 35 75 137 215 309 417 454 413 347 291 239 174 108 66 52 64 99 133 135 100 88 101 131 187 220 205 192 163 132 120 122 124 120 110 98 70 47 34 29 23 15 8 5 4 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
15 14 14 14 14 14 15 15 16 17 19 21 21 16 15 17 19 19 21 24 26 30 37 47 56 62 64 65 64 60 52 47 50 56 63 69 76 81 82 77 69 61 55 51 47 42 37 34 31 30 30 31 33 34 34 33 33 31 29 27 28 32 35 35 33 32 33 36 38 38 38 36 38 38 36 32 26 19 14 21 33 40 39 33 28 31 29 31 30 24 15 6 1 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 2 19 31 26 14 3 2 12 33 46 52 56 60 63 75 111 105 127 194 292 399 484 497 388 346 275 193 121 55 27 23 35 66 99 117 112 108 115 126 182 215 216 205 164 125 114 114 122 131 120 75 54 27 17 16 15 12 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 16 14 13 13 14 15 17 19 20 21 22 21 18 16 17 18 20 22 26 28 34 44 52 58 62 63 64 64 63 58 55 60 64 68 73 77 79 78 73 66 57 50 48 46 41 36 33 31 30 30 31 33 32 31 31 30 28 27 26 27 33 34 31 29 29 31 33 35 35 35 35 35 36 32 26 20 16 17 27 39 45 41 31 22 21 21 22 20 14 7 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 4 21 47 46 30 15 10 13 28 49 65 76 89 105 132 176 167 170 220 284 345 387 356 261 255 256 171 77 26 10 11 24 48 70 76 67 61 70 107 173 192 188 180 154 126 114 107 107 113 97 49 19 8 4 6 7 7 7 6 5 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
16 16 15 14 14 15 16 17 18 20 21 19 19 17 16 17 20 21 24 26 30 38 45 51 55 58 60 61 61 63 62 62 65 67 70 72 73 72 68 63 58 51 43 43 39 35 32 30 28 28 29 30 30 30 30 29 27 26 26 27 30 34 32 28 27 27 29 30 32 33 32 33 33 32 26 21 16 12 19 28 30 25 17 11 11 12 13 12 8 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 11 41 83 92 71 49 34 32 47 76 106 121 142 167 187 197 196 220 257 266 245 204 145 73 160 213 138 56 15 4 7 19 36 43 33 19 11 19 64 135 173 176 161 141 113 90 80 69 59 37 12 2 0 0 1 3 5 5 4 3 2 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0
15 15 14 15 15 16 16 17 18 18 19 17 17 17 17 17 19 20 22 24 30 35 39 44 47 48 50 53 53 54 58 56 58 61 63 64 64 62 57 53 49 44 37 35 32 30 28 27 27 27 27 27 28 27 27 26 26 27 28 30 31 31 28 28 27 26 26 28 30 31 32 32 31 27 21 16 11 20 30 28 17 5 2 0 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 28 74 114 127 103 80 76 86 107 139 173 183 189 189 177 161 162 196 222 159 76 35 22 32 115 190 103 36 8 4 8 16 21 16 10 4 2 6 27 71 108 116 121 114 86 50 37 23 14 6 1 0 0 0 0 2 3 3 3 1 0 0 1 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0
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