Vorticity
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nan 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 4 4 5 6 7 8 7 8 9 10 11 12 11 11 10 11 11 12 12 13 13 12 11 11 13 14 16 17 16 16 15 14 12 11 10 9 7 6 7 9 10 11 11 11 11 12 12 11 9 7 7 8 9 8 7 5 4 5 7 9 11 13 15 18 19 18 15 13 12 11 10 9 9 9 10 11 12 13 13 12 11 10 9 7 6 6 7 10 12 12 11 10 11 12 13 12 11 9 10 10 9 8 6 7 9 12 14 16 15 14 11 10 10 9 8 8 9 9 10 10 9 8 8 7 6 5 4 6 8 12 14 15 14 11 9 9 9 10 10 10 10 12 14 15 13 11 8 5 4 2 3 5 8 9 10 12 14 16 16 nan
nan 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 9 11 12 13 11 10 10 10 10 10 10 11 11 12 12 12 13 14 14 13 12 10 9 9 8 7 7 6 5 5 6 8 9 10 11 12 12 13 13 13 11 9 7 7 8 8 7 6 4 5 6 8 9 11 14 17 21 22 19 16 14 12 11 10 10 10 11 11 11 11 12 11 11 10 9 9 8 7 7 8 9 8 7 9 11 15 16 14 11 10 10 10 9 9 8 8 9 9 10 11 11 10 9 9 9 10 10 10 10 11 11 11 11 10 10 9 8 6 6 7 8 11 13 14 13 12 10 10 11 11 11 11 11 13 16 16 15 12 9 6 4 4 5 7 8 10 11 11 13 14 14 nan
nan 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 7 6 6 7 9 11 13 13 12 10 10 10 10 10 10 11 11 11 10 10 11 11 12 11 9 8 6 6 6 6 7 7 8 8 10 11 12 12 11 11 12 12 12 12 11 10 9 8 8 9 9 9 7 6 6 6 7 8 10 14 19 22 22 20 17 14 12 10 10 11 10 10 10 10 10 11 11 10 9 9 9 8 8 9 9 8 8 10 13 15 14 10 9 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 10 11 11 11 10 10 11 11 11 11 10 8 7 6 6 6 7 10 13 14 13 12 11 12 12 13 12 13 15 17 18 18 15 12 8 5 5 7 8 10 11 12 13 14 15 14 nan
nan 11 11 11 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 8 9 12 13 13 12 11 10 10 11 11 12 12 12 11 9 8 8 10 11 11 9 8 7 7 8 9 11 12 13 13 15 16 16 14 12 10 9 9 9 9 9 9 9 8 8 9 11 11 10 7 5 4 5 6 7 9 13 16 19 19 17 15 12 10 9 10 9 9 9 9 10 10 9 8 8 7 7 7 8 11 13 14 13 12 11 10 9 7 7 8 9 10 10 10 10 11 11 10 9 7 7 7 8 8 9 10 10 11 11 10 9 10 10 11 11 10 9 7 6 4 3 3 5 10 14 15 15 14 13 14 14 14 14 15 17 18 19 17 13 8 5 6 8 9 11 11 12 14 15 14 13 nan
nan 11 11 11 11 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 5 3 2 2 3 5 6 6 7 10 12 14 14 13 12 11 11 12 12 13 13 13 11 9 8 8 9 11 12 11 10 10 11 12 14 15 16 16 17 18 18 17 15 12 10 9 9 9 8 7 7 7 7 8 10 12 12 10 7 5 5 6 6 7 7 7 9 12 15 15 13 11 9 9 9 9 9 8 9 9 9 9 8 7 6 6 6 7 10 13 14 13 10 6 5 6 8 10 11 11 11 11 11 12 12 12 11 9 8 6 6 7 7 8 8 9 9 10 9 9 8 9 10 11 11 10 9 8 6 4 4 4 7 12 15 16 16 15 15 15 15 15 15 15 15 13 11 8 4 4 6 8 9 10 10 11 13 14 14 12 nan
nan 11 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 5 4 3 2 1 1 3 5 6 6 6 9 13 15 16 14 13 13 13 12 12 12 12 12 12 10 9 9 9 10 12 12 12 12 13 14 15 15 15 14 15 15 16 15 13 11 11 11 11 10 9 7 6 6 7 8 10 11 10 8 8 8 9 10 11 10 9 8 8 10 13 14 14 12 10 10 10 10 9 9 8 9 10 11 11 11 9 7 6 6 7 9 9 9 8 6 7 9 12 13 13 12 12 12 13 12 12 11 11 9 7 6 5 6 6 7 7 7 8 9 9 9 8 8 8 10 12 12 11 10 9 8 7 7 7 9 13 15 17 17 16 17 18 19 18 15 11 6 2 0 1 4 8 10 10 9 9 11 13 13 13 12 nan
nan 11 11 11 10 9 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 4 3 3 3 3 4 5 7 7 6 6 8 11 14 16 15 14 13 13 12 10 10 10 11 12 11 11 9 9 9 11 12 12 12 12 12 13 12 12 11 10 11 11 11 10 10 10 11 11 11 10 8 7 7 7 7 9 9 9 9 10 11 13 14 16 16 15 13 12 13 14 16 16 14 11 11 11 10 9 9 8 8 10 12 14 16 14 11 9 7 7 7 8 8 8 9 10 12 12 12 12 12 12 13 13 12 11 10 9 8 7 7 7 7 7 7 7 6 7 8 9 10 9 9 9 9 11 12 11 10 9 8 7 7 7 9 13 17 19 19 18 19 21 22 19 14 7 1 -3 -2 2 7 11 13 12 11 10 11 13 13 12 12 nan
nan 10 11 11 10 9 8 7 6 6 5 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 4 4 4 5 5 5 5 6 7 7 6 5 6 9 12 14 15 15 14 14 13 11 10 11 11 11 11 10 10 9 10 12 12 11 10 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 11 13 14 15 16 17 16 15 14 14 16 18 19 19 16 13 12 12 11 10 9 9 9 10 11 13 14 15 14 12 10 9 9 10 11 10 10 10 10 10 10 11 12 13 14 13 11 10 9 8 8 8 8 9 10 11 10 9 7 7 8 10 11 11 11 11 10 10 10 9 7 6 4 3 5 8 12 17 21 22 20 17 16 18 18 16 10 3 -3 -5 -1 4 8 11 12 12 11 11 11 12 12 12 11 nan
nan 10 10 10 9 8 8 7 7 6 5 5 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 6 6 4 4 5 7 10 12 14 15 16 16 15 15 14 12 11 10 9 8 8 9 11 12 11 9 8 7 8 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 10 11 13 15 17 17 16 14 11 9 9 11 13 17 20 20 18 16 14 13 12 10 10 10 10 9 9 8 9 11 12 13 12 11 11 11 11 11 9 8 8 8 9 11 12 14 16 16 13 11 9 9 9 8 8 10 13 14 13 11 8 8 9 10 11 11 11 11 11 10 10 9 8 6 6 5 7 11 15 20 23 22 18 11 9 10 10 9 5 -1 -6 -5 -0 5 8 10 11 11 10 10 10 11 12 12 11 nan
nan 10 10 9 8 8 8 7 7 6 6 5 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 4 4 5 4 3 4 6 8 10 12 14 15 16 16 17 16 15 12 10 9 7 7 8 10 11 11 9 8 7 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 6 5 6 7 8 10 11 11 12 13 14 16 17 16 12 9 5 4 5 8 12 16 18 18 16 15 13 12 11 11 11 11 9 8 7 6 7 9 10 11 10 10 9 10 11 10 9 9 9 10 11 12 14 17 19 19 16 13 11 10 10 11 12 13 14 13 9 7 8 10 11 12 12 12 11 10 11 11 12 12 13 13 13 13 15 17 19 21 18 12 5 2 3 5 6 5 -1 -4 -1 4 9 12 13 12 10 9 10 10 12 12 12 11 nan
nan 9 9 9 8 8 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 1 1 1 3 5 4 4 4 5 6 8 10 12 13 15 16 17 18 17 15 13 11 10 9 10 11 12 12 10 9 9 9 10 10 9 9 9 9 9 9 8 7 7 7 7 7 6 6 7 8 9 11 12 12 12 10 9 10 13 15 15 12 8 5 3 4 6 10 14 14 14 13 12 11 11 10 10 10 9 8 7 7 7 8 9 9 9 9 9 10 11 12 12 11 11 12 13 14 14 17 20 22 22 18 14 12 11 12 12 12 11 8 6 6 8 10 12 14 15 14 12 10 9 10 12 15 18 20 20 18 17 16 16 17 14 7 1 -2 -0 3 6 7 3 1 5 10 14 17 16 13 10 9 9 11 12 13 13 12 nan
nan 10 9 9 8 8 7 7 7 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 5 6 6 6 6 6 7 6 6 6 5 3 1 -1 -2 0 3 6 7 5 5 5 6 8 10 11 12 14 16 18 19 20 19 17 16 14 13 14 15 16 15 13 11 10 11 11 11 11 10 10 10 10 10 9 8 8 9 9 9 8 7 8 8 8 9 10 11 11 9 8 8 10 15 17 15 11 7 4 3 4 6 9 11 11 11 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 11 12 13 12 12 12 13 14 15 14 14 16 18 20 18 14 10 9 9 10 10 9 8 7 6 8 9 12 15 16 15 12 8 6 6 8 13 19 22 22 18 15 14 13 14 13 8 3 -0 -0 4 7 8 7 7 10 14 17 18 16 12 9 8 8 9 10 12 12 12 nan
nan 10 9 9 8 7 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 2 1 -0 -0 1 4 7 8 7 6 5 6 9 10 12 13 14 16 17 18 19 20 19 18 17 16 16 17 18 17 15 12 10 10 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 10 8 7 6 7 8 10 10 9 8 9 11 13 15 13 10 7 4 3 4 6 9 9 9 9 9 11 12 10 9 8 8 8 8 9 10 11 11 10 9 9 10 11 12 12 11 11 11 12 13 13 12 10 10 12 14 15 12 8 5 6 8 10 11 11 10 8 8 8 10 13 15 13 10 7 5 4 5 7 13 16 16 14 12 10 10 12 13 11 7 4 3 5 8 9 9 11 13 15 16 15 12 10 9 8 7 7 8 10 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 4 6 7 10 13 15 16 17 19 18 18 16 15 16 19 21 22 25 30 35 44 47 45 46 45 45 47 47 47 46 43 33 28 30 31 30 31 32 32 32 32 33 36 41 46 50 51 50 49 48 45 43 45 48 52 56 60 63 64 67 74 82 83 75 61 46 41 43 52 65 78 88 94 93 93 85 69 55 48 50 51 45 48 78 107 115 108 109 131 139 145 154 169 186 200 202 196 221 240 258 266 260 253 249 251 249 241 219 169 98 41 24 15 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 3 21 65 127 155 118 84 60 47 42 36 34 30 27 22 17 12 8 5 2 1 1 0 1 2 1 2 6 10 13 23 29 29 25 22 26 47 82 79 57 40 28 15 6 12 29 31 16 6 1 2 12 32 60 77 79 69 53 57 88 113 93 73 54
2 3 5 7 10 12 14 16 20 23 21 19 17 16 16 18 21 22 23 26 29 32 33 33 35 37 37 39 41 43 45 45 34 36 37 35 34 35 35 33 33 33 34 34 37 43 50 53 54 53 53 51 48 46 47 48 51 56 60 58 58 64 74 76 67 52 41 37 41 53 64 74 81 85 85 82 70 57 47 43 43 41 38 48 83 110 106 97 100 119 143 157 164 172 184 193 192 190 209 223 246 259 265 263 254 248 243 216 161 92 39 11 6 5 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 1 10 42 98 144 113 85 65 62 59 53 49 47 42 33 25 18 11 4 0 0 0 0 1 2 6 15 22 25 24 26 25 22 17 14 15 28 50 52 36 25 25 21 12 7 2 2 2 1 0 4 14 32 54 70 79 75 50 57 88 111 113 100 74
1 3 5 7 9 10 12 17 22 24 22 19 18 18 18 20 23 25 27 27 25 25 24 21 24 27 30 33 37 41 46 49 48 51 45 42 40 39 36 35 36 36 35 35 36 38 43 49 57 58 57 56 54 52 49 46 47 53 54 49 49 55 67 70 60 47 38 36 41 52 62 69 73 73 72 68 58 46 41 41 40 38 41 56 81 99 88 90 97 112 134 148 154 163 172 174 175 183 203 218 235 253 262 261 255 249 233 189 110 45 12 1 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 24 73 127 124 94 79 77 72 65 62 65 63 52 38 26 16 7 2 2 2 2 0 5 28 38 35 31 26 22 19 17 17 18 19 26 36 28 23 16 24 25 17 7 3 2 2 2 2 6 16 27 38 50 59 70 67 82 92 95 101 99 80
3 4 6 7 8 9 11 16 21 23 22 20 20 18 17 20 24 28 29 27 24 21 20 19 19 21 24 27 33 40 45 50 54 56 48 45 41 38 36 36 38 40 39 35 33 34 38 45 55 60 60 58 56 54 51 47 45 50 48 44 43 49 59 64 56 44 36 35 39 47 52 59 64 65 63 57 48 39 36 38 39 40 49 66 80 83 75 92 109 118 123 129 140 156 161 155 159 176 199 217 225 242 254 259 260 254 229 173 92 28 5 0 0 0 0 0 0 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 1 10 52 110 129 92 86 80 73 70 73 77 73 60 43 31 23 13 6 3 3 3 4 15 33 36 30 24 19 16 15 15 16 19 22 22 19 11 15 14 25 28 23 17 15 13 12 10 8 10 16 22 28 41 54 48 52 72 93 103 104 99 80
2 4 6 8 9 9 11 14 18 21 21 21 22 22 22 22 25 28 29 28 25 20 20 18 17 18 20 23 30 38 43 47 51 52 47 41 35 32 32 34 37 40 40 35 32 31 34 41 48 55 58 57 55 53 50 46 44 46 44 40 40 44 52 58 55 45 36 34 38 44 49 55 63 60 56 49 40 33 33 37 40 44 52 61 71 74 71 83 107 116 118 125 138 151 152 139 144 163 191 211 219 232 244 256 267 265 233 168 88 25 1 0 0 0 0 0 2 9 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 4 32 91 119 86 79 77 79 81 83 83 80 73 61 44 38 26 15 8 5 8 18 25 30 28 21 15 12 13 14 17 22 26 24 18 14 14 21 23 28 32 35 37 39 38 33 25 20 23 25 23 27 46 75 82 74 82 109 124 122 106 81
1 2 4 7 9 10 11 13 16 17 19 20 21 21 22 24 26 27 28 27 24 20 18 17 17 17 18 21 26 33 39 44 47 46 40 33 28 27 27 29 33 36 37 35 32 30 34 39 45 52 54 55 53 50 46 43 41 42 41 40 39 41 47 51 49 42 35 34 37 42 49 56 62 61 53 45 38 31 31 36 43 48 55 57 64 66 63 73 94 101 108 120 132 137 133 126 133 149 178 197 215 231 237 253 269 274 240 170 89 28 1 0 0 0 0 0 1 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 2 20 88 122 103 80 77 84 88 85 84 86 86 80 71 66 39 23 15 14 19 29 32 26 19 13 10 10 12 15 18 25 36 28 22 25 31 34 33 30 33 37 40 47 53 47 32 33 45 49 37 34 48 73 88 88 101 113 123 121 107 81
1 2 4 6 8 9 10 11 13 15 16 18 20 22 23 24 24 23 23 22 20 18 17 17 17 17 16 18 21 24 30 36 40 37 32 28 25 24 25 26 29 31 31 30 29 29 33 38 45 51 54 53 51 48 44 41 41 41 40 40 41 41 45 46 44 40 36 34 37 43 51 57 64 66 54 43 34 27 27 33 42 49 55 61 61 61 61 72 86 89 101 109 112 112 113 119 130 143 166 182 204 220 233 251 268 276 245 177 99 37 6 0 0 0 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 2 18 94 135 138 118 96 88 84 80 85 94 96 93 87 72 43 32 21 22 26 27 23 19 13 10 10 11 13 17 21 29 42 27 30 37 41 41 35 29 29 31 31 41 52 49 35 44 63 73 57 42 38 44 58 66 88 111 125 124 105 78
2 2 4 5 7 8 8 8 9 11 13 16 19 20 21 22 22 21 20 21 19 17 17 17 18 18 17 17 18 19 22 26 29 30 27 25 24 23 24 26 29 30 27 25 25 28 33 39 48 52 53 53 50 47 44 42 42 41 40 42 44 43 45 47 47 43 38 36 39 44 53 59 66 67 57 43 32 28 26 28 35 46 56 63 59 58 64 80 93 93 95 96 90 90 98 110 124 139 155 168 186 202 221 246 267 275 254 187 106 45 11 1 1 4 14 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 2 15 75 119 144 142 121 96 78 70 82 101 105 96 82 64 42 46 31 26 27 23 12 4 2 4 7 10 13 18 24 30 31 21 35 41 41 36 30 28 30 32 32 36 46 43 36 46 66 77 69 44 22 12 11 18 51 96 117 119 103 77
5 3 3 3 5 5 5 5 6 7 10 14 16 17 18 19 22 22 22 23 22 19 17 18 20 20 20 20 19 18 18 20 23 24 24 24 24 23 24 26 28 28 25 22 24 27 32 40 50 54 53 51 47 43 41 42 44 42 43 46 46 43 43 47 48 43 38 36 39 44 54 63 71 68 56 41 29 25 21 20 28 40 51 57 58 52 68 83 90 89 84 82 80 82 91 102 115 128 139 148 163 186 210 240 266 276 257 194 97 30 7 2 5 17 35 23 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 44 71 99 124 131 115 88 76 90 106 102 92 77 61 49 52 41 32 26 16 6 1 1 2 4 8 12 16 22 26 22 22 47 56 50 39 34 35 35 31 28 29 38 39 38 45 57 65 69 43 18 5 2 11 36 74 100 106 93 70
5 3 2 1 1 2 3 4 4 5 8 11 14 16 16 18 23 24 24 25 25 22 20 24 25 22 22 22 19 17 16 19 22 24 26 27 27 28 28 29 28 27 26 25 26 28 33 42 50 55 53 49 44 41 40 43 45 45 46 44 40 37 39 44 47 41 35 34 36 40 46 58 71 70 55 43 34 24 13 10 19 33 46 55 57 57 75 82 82 79 76 72 72 75 81 88 99 109 118 126 140 169 202 237 265 279 261 196 90 7 1 1 8 24 36 16 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 3 10 22 37 50 84 121 138 136 133 138 121 89 80 73 64 59 60 51 38 28 16 7 4 7 10 10 13 11 11 14 17 21 36 64 90 81 67 57 50 42 34 27 24 27 29 33 38 44 48 53 34 15 6 5 13 32 59 79 70 63 49
5 2 1 0 0 1 2 3 4 5 6 9 12 14 15 18 22 24 21 25 25 23 24 27 28 25 26 24 22 19 16 17 20 25 30 33 35 36 35 33 29 27 27 27 28 30 35 44 49 51 50 45 40 37 39 42 44 45 43 38 33 31 33 38 42 40 36 36 37 41 47 55 63 67 55 42 29 17 7 4 11 25 40 51 55 62 77 88 89 82 72 65 61 63 68 75 89 98 109 116 127 155 188 228 263 281 258 184 79 0 1 3 11 24 27 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 2 4 8 14 18 40 80 121 157 178 172 133 87 84 69 62 60 56 44 32 23 13 7 8 15 25 29 20 9 9 15 26 42 64 83 108 113 102 82 59 40 29 25 27 21 20 22 26 30 29 27 18 10 8 11 20 35 56 71 49 35 30
4 2 1 0 0 0 1 2 4 4 5 8 11 13 14 17 20 23 23 24 24 23 26 29 29 27 30 31 25 20 17 16 18 23 31 35 38 39 38 36 30 29 28 28 29 32 38 45 48 47 44 41 38 35 37 41 42 41 39 36 32 29 30 33 37 39 37 37 38 42 48 53 60 65 58 46 30 13 4 1 6 19 35 45 52 58 68 80 83 73 70 64 58 57 65 81 97 102 120 128 142 164 188 227 266 272 228 142 52 1 2 5 11 21 19 10 2 0 0 0 6 12 9 2 0 0 0 0 0 0 0 0 0 0 4 5 3 1 0 0 0 1 0 3 3 3 3 4 14 36 72 122 168 178 148 116 132 100 84 67 49 32 21 14 8 7 11 21 33 35 18 9 15 23 32 40 50 65 90 126 119 85 62 46 35 32 36 24 19 16 17 17 14 10 6 4 7 14 28 50 72 73 34 18 19
4 3 1 0 0 0 1 2 3 4 4 6 9 11 13 15 18 21 22 22 23 24 28 30 29 28 30 32 26 21 18 16 17 21 26 32 34 35 35 34 32 32 31 30 30 33 38 43 44 44 39 36 35 35 39 42 40 38 37 36 34 33 32 31 36 41 41 39 39 42 48 55 69 73 63 51 32 12 2 0 4 14 30 44 54 57 59 66 71 66 66 66 63 64 71 85 104 122 141 157 170 191 215 230 234 212 152 80 24 0 0 2 7 13 9 4 1 0 0 2 24 57 59 25 0 0 0 0 0 0 0 0 0 1 8 11 10 10 8 3 0 0 3 12 9 4 2 3 5 10 28 72 132 174 167 148 175 174 133 94 63 44 34 30 27 26 22 22 23 20 12 13 21 25 29 32 35 41 62 101 111 72 57 50 42 37 38 24 20 17 14 11 8 4 2 1 3 10 29 58 68 53 44 13 16
4 3 1 0 0 0 1 1 2 3 3 5 7 10 13 14 17 20 22 21 22 25 28 30 27 28 31 32 27 20 19 18 18 20 23 28 30 30 30 31 34 36 34 30 29 32 35 39 40 38 34 30 34 39 43 44 41 36 36 37 37 36 34 31 32 37 40 41 42 44 47 56 73 75 66 50 31 9 1 0 2 8 20 34 47 53 53 53 48 44 48 55 63 75 90 106 121 129 133 162 152 161 166 148 121 89 50 19 4 0 0 0 2 5 3 2 0 0 0 4 24 71 87 32 0 0 0 0 0 0 0 0 0 2 7 12 20 39 36 19 9 14 22 31 17 6 3 4 6 10 19 48 104 168 187 184 202 195 171 127 93 73 64 60 59 53 39 28 15 11 14 19 25 26 28 30 32 35 42 53 57 45 45 43 41 36 30 21 16 15 13 10 6 3 0 0 1 7 30 64 71 56 44 20 18
3 2 1 0 0 0 0 1 1 1 2 4 6 8 11 13 15 20 21 20 20 21 22 24 25 26 27 29 26 21 21 20 19 21 25 28 29 28 28 30 34 36 35 30 27 29 32 33 33 31 29 27 35 40 44 44 41 36 35 37 36 36 35 33 31 33 39 41 43 44 47 52 63 71 63 50 31 10 1 0 0 3 11 24 37 45 47 34 20 13 18 28 41 57 86 120 131 120 118 135 86 66 45 34 24 13 3 0 0 0 0 0 0 1 1 4 3 1 0 1 5 16 25 5 0 0 0 0 0 0 0 0 0 1 4 9 21 52 62 43 32 35 40 38 24 14 10 12 20 31 49 76 115 179 223 228 213 197 179 137 108 94 86 79 72 66 53 34 22 26 29 28 26 24 26 30 35 39 43 47 44 38 42 33 35 33 26 18 15 12 11 9 6 2 0 0 0 3 18 62 75 62 43 29 23
2 1 0 0 0 0 0 1 1 1 2 3 5 7 9 11 14 18 21 20 20 19 18 20 23 24 24 27 25 22 22 23 24 29 32 31 28 27 28 31 32 33 33 30 26 26 28 28 29 26 27 31 37 40 43 43 40 36 34 35 36 37 36 35 33 33 37 41 42 44 49 54 60 69 59 48 27 9 1 0 0 1 3 12 25 34 34 16 5 1 3 7 13 21 39 74 111 126 119 101 58 31 10 3 1 0 0 0 0 0 0 0 0 0 1 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 5 15 41 68 58 52 51 48 42 36 31 27 29 39 62 100 151 196 229 269 266 239 211 186 150 118 102 89 74 63 55 47 43 47 57 49 34 24 22 23 25 31 37 43 47 46 38 40 33 29 25 19 15 14 12 12 11 8 5 2 0 1 2 9 41 46 35 30 33 34
1 0 0 0 0 0 1 1 1 1 2 2 4 6 8 10 13 15 17 19 19 20 21 21 22 22 23 25 27 23 24 30 38 40 37 32 28 27 29 30 29 28 31 29 26 25 25 26 25 25 30 36 39 40 42 41 39 36 35 36 35 37 36 34 33 33 35 39 40 43 47 51 56 60 53 46 23 8 1 0 0 0 0 3 10 16 16 7 2 0 0 1 1 2 7 19 51 79 57 41 33 23 7 1 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 4 11 5 0 1 1 3 9 26 47 52 62 57 50 50 56 58 57 58 69 99 151 219 277 299 318 295 271 234 186 148 115 89 68 48 37 36 41 53 63 72 57 34 19 16 18 21 30 40 45 43 39 35 36 43 25 17 15 14 13 12 12 11 9 8 5 2 0 0 0 2 12 19 27 41 51
0 0 0 0 0 0 1 1 1 1 2 2 4 6 8 9 12 14 16 20 22 25 24 20 18 19 21 24 26 26 27 35 41 40 33 26 23 24 27 28 28 29 32 29 26 24 23 23 24 27 34 39 41 41 40 39 36 34 35 35 36 37 36 34 30 31 34 36 39 44 49 50 54 55 50 44 20 6 1 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 3 16 6 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 13 27 19 2 2 3 4 8 20 39 60 72 82 79 79 83 88 90 92 104 137 181 229 281 324 325 279 234 196 162 129 96 66 44 32 29 29 34 41 49 54 42 23 11 9 14 20 26 30 34 37 37 34 36 46 31 21 17 15 13 10 8 6 6 8 8 4 0 0 0 0 4 11 25 47 65
1 0 0 0 0 0 1 2 2 2 2 2 3 5 7 10 13 16 22 24 24 24 22 17 15 19 23 26 26 26 29 32 37 33 26 20 19 20 21 26 29 31 32 31 26 21 20 20 23 29 36 39 41 41 38 35 32 31 32 34 35 35 35 34 29 28 31 34 39 47 54 49 55 53 50 40 19 4 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 0 0 0 0 0 0 1 3 4 1 0 0 0 0 0 0 0 0 13 23 16 3 1 2 7 19 39 51 56 69 112 118 109 104 106 113 126 150 193 228 252 274 296 291 252 194 155 128 103 77 54 39 38 40 34 27 23 24 27 20 10 4 4 10 16 20 23 26 31 33 34 38 45 40 35 29 23 16 11 6 3 3 6 7 4 1 0 0 0 4 11 25 45 64
0 0 0 0 0 0 1 2 2 2 2 2 3 5 8 12 16 20 22 17 18 19 17 15 14 19 25 27 25 25 25 24 32 30 24 20 19 18 20 26 29 30 31 31 28 21 18 21 26 31 35 38 38 38 35 32 30 30 31 32 33 33 33 33 31 29 30 33 38 42 46 49 54 49 46 34 16 3 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 1 1 0 0 0 0 0 0 0 0 0 8 11 8 3 0 1 5 26 62 75 75 98 153 149 119 104 103 109 128 177 253 286 287 281 275 260 219 164 122 96 78 63 49 42 46 50 45 33 23 20 20 12 4 1 2 6 10 13 15 17 20 23 28 34 39 41 47 43 32 22 14 9 6 5 5 4 3 2 1 1 1 4 11 24 43 61
0 0 0 0 0 0 1 2 2 3 2 2 4 5 7 11 15 17 15 12 13 16 16 16 16 17 21 25 21 22 23 25 29 30 26 24 23 21 22 26 29 28 30 31 30 25 21 23 27 31 34 34 33 32 30 28 29 31 32 33 33 31 32 35 37 33 30 32 39 43 44 44 45 40 44 33 17 5 1 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 9 11 8 5 2 2 6 22 65 90 116 148 176 165 128 104 93 95 120 181 274 316 287 272 252 221 179 136 101 84 75 61 45 37 44 49 58 49 39 34 29 18 7 2 1 2 5 8 9 8 7 11 18 25 29 34 43 48 39 26 16 12 11 9 6 4 4 3 2 0 1 7 16 29 44 54
0 0 0 0 0 0 0 1 2 4 4 3 3 4 5 9 12 12 11 10 12 14 17 21 21 20 20 24 25 21 25 25 25 25 26 27 26 25 26 27 28 27 25 26 28 27 26 28 31 33 32 29 27 26 26 25 27 30 32 33 32 30 32 36 37 35 32 34 40 40 40 43 43 41 45 32 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 9 5 5 4 5 11 23 59 90 146 189 187 155 124 108 101 107 142 211 284 302 259 242 214 181 145 112 89 78 66 49 35 34 44 52 62 56 47 43 36 24 11 3 0 0 1 1 1 1 1 5 11 19 21 22 27 35 35 28 18 15 14 11 8 5 3 2 0 0 1 4 14 30 38 30
1 0 0 0 0 0 0 1 3 4 4 2 3 3 4 7 8 9 9 9 11 13 13 17 23 23 22 22 23 23 25 20 19 20 21 23 24 25 25 27 28 26 23 24 28 27 27 29 32 34 31 25 23 22 23 24 26 29 32 33 31 29 31 37 38 37 36 37 39 35 31 35 39 42 43 34 14 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 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 5 4 2 2 2 4 12 31 64 84 121 152 138 103 85 90 102 126 172 233 271 266 235 201 165 139 114 91 74 61 51 43 39 45 53 57 56 54 47 41 33 22 10 2 0 0 0 0 0 0 0 2 4 9 12 13 14 18 23 28 21 17 14 11 8 5 2 0 0 0 0 2 10 29 44 32
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