Vorticity
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nan 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 11 13 14 14 12 10 10 13 21 32 42 46 42 33 25 17 11 6 2 -3 -8 -10 -7 -1 3 6 5 4 3 2 2 4 8 12 14 15 14 13 13 14 15 16 17 17 17 18 19 21 24 22 18 13 8 8 11 13 13 11 7 5 4 6 9 11 11 11 11 11 10 9 7 6 6 5 3 -2 -6 -7 -5 -0 7 14 21 25 25 20 15 9 5 4 4 5 6 8 8 8 7 7 8 9 9 9 7 7 7 8 9 11 13 14 14 11 8 5 4 5 4 3 2 1 1 2 5 10 14 16 17 17 17 16 16 15 13 11 8 6 4 4 5 6 7 8 7 5 3 1 0 2 4 7 8 10 9 8 9 9 9 9 9 10 12 14 14 13 13 12 11 10 7 4 4 6 8 11 13 15 16 18 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 13 13 12 11 11 14 22 33 40 41 37 30 23 17 12 8 3 -3 -6 -6 -0 4 6 6 5 4 3 2 4 7 11 14 14 14 13 12 12 13 15 18 21 22 21 21 22 24 23 19 13 8 7 10 13 13 11 8 5 3 4 7 9 11 11 11 10 9 8 8 8 9 8 6 1 -5 -7 -6 -3 4 12 19 25 26 22 17 11 6 3 2 2 3 5 7 7 7 7 7 8 9 9 8 8 8 9 12 15 17 16 14 11 7 6 6 6 6 5 3 1 -1 -1 2 7 12 15 16 16 14 14 13 12 11 10 8 6 5 5 5 6 7 8 9 8 5 3 2 3 5 7 8 9 9 9 10 10 10 10 10 11 13 14 14 13 13 12 10 8 3 1 2 4 7 10 13 15 16 17 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 12 13 13 12 12 13 16 24 32 36 37 34 29 24 19 16 10 3 -2 -4 0 5 6 6 6 6 5 4 5 7 10 13 14 13 12 11 10 11 14 18 22 23 23 22 21 21 20 17 12 8 7 9 11 12 11 9 6 4 4 5 8 10 11 11 10 9 9 10 11 12 11 9 4 -2 -6 -6 -3 2 9 15 20 22 21 18 14 10 6 2 1 1 3 5 6 6 6 7 8 9 9 8 7 8 10 13 16 16 15 14 12 9 7 6 6 5 5 4 3 1 -1 1 5 9 11 12 11 10 10 11 11 10 10 11 10 9 7 6 6 7 8 9 9 8 6 5 6 7 8 9 10 10 10 11 12 12 12 12 12 13 13 13 14 15 14 10 6 2 1 2 4 7 10 13 15 16 16 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 11 11 12 12 13 14 14 15 19 24 29 32 33 32 28 25 22 17 9 2 -1 0 5 7 7 8 9 9 8 7 7 9 12 13 13 12 11 10 10 12 16 20 22 22 21 19 18 16 13 10 8 9 10 11 12 12 12 10 7 4 4 5 8 9 9 9 8 9 11 13 14 15 13 9 4 -1 -2 -1 2 7 11 13 14 15 16 15 13 9 5 2 2 3 5 5 5 5 7 8 9 9 8 7 7 9 11 13 14 15 16 16 13 9 6 6 5 6 5 4 3 1 2 4 7 8 9 9 8 8 8 9 10 11 12 12 11 9 8 6 6 7 8 8 7 6 6 7 8 9 11 12 12 12 12 13 13 14 13 12 12 12 13 15 16 14 10 5 2 2 3 6 9 12 14 15 16 15 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 13 14 16 17 17 19 23 26 28 29 29 29 27 24 17 8 3 2 5 8 7 8 10 12 13 11 11 10 11 13 13 12 11 10 10 12 14 17 20 21 21 18 15 13 11 9 9 11 13 13 14 15 16 14 9 4 1 2 5 7 7 7 7 8 10 12 14 16 16 14 12 7 4 4 5 6 8 8 7 8 11 13 14 12 9 5 4 4 5 5 5 5 6 8 10 10 10 9 8 8 10 11 14 17 19 19 15 10 7 8 8 8 6 5 4 5 6 6 7 7 8 8 8 7 8 9 10 11 11 12 11 9 8 8 7 8 8 7 7 6 5 6 6 8 10 13 15 15 14 14 15 15 14 13 12 12 14 15 16 12 7 3 3 4 6 8 11 13 15 15 15 14 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 12 14 15 17 18 19 19 21 23 24 26 28 29 27 21 14 8 7 8 9 8 8 11 15 18 18 16 14 13 13 13 12 11 10 10 11 13 15 19 21 21 19 15 12 11 10 10 12 15 15 16 17 18 17 12 6 3 2 4 5 6 6 6 6 8 10 12 14 17 18 18 16 12 9 8 8 9 9 6 5 6 8 12 12 10 8 7 7 7 6 5 5 5 7 10 11 12 11 11 10 10 11 13 15 16 15 12 9 9 11 12 11 8 5 6 7 9 9 8 7 6 6 7 8 8 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 7 5 4 5 7 11 14 15 16 16 16 16 15 14 13 13 13 11 10 5 1 1 3 5 7 9 11 13 14 14 14 13 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 12 11 12 13 14 17 19 20 19 19 19 19 21 23 26 26 21 17 12 10 11 11 10 9 11 16 21 24 22 19 16 14 12 11 10 10 10 10 12 13 16 21 23 22 19 15 12 11 11 13 15 15 16 17 18 17 14 9 7 6 5 4 4 5 5 5 6 7 10 13 17 20 21 19 16 13 11 10 11 13 13 9 6 6 7 9 9 8 9 9 9 8 7 5 5 6 9 11 12 13 13 12 11 11 11 10 11 10 10 10 12 13 13 12 10 8 8 9 10 10 8 6 4 3 4 6 6 7 8 10 10 10 10 11 11 11 10 10 11 12 12 11 9 7 4 3 5 7 11 15 17 17 17 17 17 17 16 14 10 4 0 -2 -2 1 5 8 10 11 12 12 13 13 12 12 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 11 11 12 13 15 18 21 22 20 19 17 16 17 20 22 21 17 14 13 14 15 13 11 11 14 19 25 26 23 19 15 12 10 9 9 9 8 9 10 12 17 23 24 23 19 14 12 11 11 13 13 14 14 15 14 12 11 10 8 6 5 4 4 4 5 5 6 8 12 16 19 19 18 15 11 8 7 9 13 15 14 11 8 7 7 6 6 7 9 9 9 8 7 5 6 8 10 11 12 13 12 12 11 10 9 9 9 10 12 13 13 12 12 12 12 12 11 10 9 7 5 3 2 2 3 4 5 6 8 8 8 8 10 10 10 11 13 16 17 16 13 11 8 5 3 4 7 11 15 18 18 17 16 17 18 17 13 6 -1 -5 -5 -1 4 8 11 13 13 13 13 13 12 12 11 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 12 14 18 21 24 23 21 18 14 11 13 17 19 17 16 15 16 16 14 11 10 11 15 22 26 26 22 18 14 11 10 9 7 6 5 6 7 11 19 25 26 24 19 13 11 11 11 12 12 12 11 10 9 8 9 9 8 6 5 5 4 4 5 6 8 12 16 18 17 15 11 7 3 1 4 7 11 13 14 13 10 8 5 5 5 6 8 9 9 8 7 7 8 9 10 11 12 12 11 11 10 10 11 11 12 13 13 11 10 10 13 15 15 14 11 9 7 5 3 2 3 4 5 5 5 5 5 6 7 8 8 8 8 10 13 16 15 12 9 7 4 3 5 9 14 18 20 19 15 13 13 14 12 8 1 -4 -6 -3 1 6 9 12 14 14 14 13 12 12 11 11 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 17 21 25 27 25 21 16 10 8 11 14 16 16 15 16 16 14 11 9 9 13 19 24 26 24 21 18 14 12 10 7 5 3 2 3 6 12 20 25 27 25 20 17 15 14 13 11 10 10 9 7 6 6 7 8 8 7 6 5 4 5 6 9 14 19 19 16 11 7 2 -1 -2 -0 3 6 9 12 13 12 10 7 6 5 5 6 8 9 9 8 8 9 10 10 11 11 11 12 12 12 12 13 12 12 12 11 10 8 8 10 13 15 15 14 12 10 8 5 5 6 8 9 8 5 3 4 6 8 8 9 8 6 5 5 7 8 7 5 4 2 2 6 12 18 22 21 18 12 8 8 7 6 3 -3 -6 -4 0 5 9 12 13 14 13 12 11 11 11 11 12 nan
nan 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 16 21 26 29 29 25 19 12 7 7 10 13 15 15 15 14 13 11 9 9 12 17 21 23 24 23 21 19 16 13 9 6 4 2 2 3 7 13 20 25 28 28 26 24 21 19 17 14 12 11 9 6 4 4 6 8 8 6 5 4 5 7 11 17 21 20 15 8 4 0 -1 -0 1 3 6 9 11 12 12 11 10 8 6 6 6 8 10 10 10 10 10 11 11 11 11 11 13 14 15 15 14 13 11 9 8 8 8 7 7 9 11 13 15 15 14 12 9 9 10 12 12 10 6 3 4 6 8 9 10 10 8 4 2 1 2 3 4 5 4 4 8 13 18 22 22 16 9 4 3 3 3 2 -3 -5 -2 4 10 15 16 15 13 11 10 10 10 11 12 12 nan
nan 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 14 20 26 30 32 29 22 14 8 6 8 11 14 15 14 14 13 12 11 10 11 14 17 20 21 22 22 21 19 16 13 10 8 7 6 6 6 9 13 19 24 28 30 31 29 28 26 25 22 19 15 10 6 4 4 6 7 7 6 5 5 7 11 17 21 18 12 7 5 4 4 5 6 7 9 10 11 12 12 12 12 10 9 7 8 9 11 12 12 11 11 12 12 11 10 11 13 15 16 16 15 12 10 9 8 8 9 8 6 6 8 10 13 15 17 17 15 14 13 13 12 9 6 4 5 7 9 10 11 11 9 6 3 3 4 6 9 11 11 10 12 15 18 21 20 14 7 2 1 2 4 5 1 -2 1 6 12 17 17 15 11 10 9 9 9 10 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 14 18 25 31 33 33 26 17 10 7 7 10 13 15 15 14 14 13 12 10 10 11 14 17 19 20 20 20 20 19 18 17 16 15 14 11 9 9 11 14 18 22 26 28 30 31 32 32 33 32 28 22 16 10 8 6 5 5 4 4 5 7 12 16 18 15 10 7 7 9 12 13 12 11 11 11 11 11 12 13 13 12 11 9 9 10 11 12 12 12 12 12 11 10 9 10 12 14 15 15 13 11 10 10 10 10 10 7 6 6 7 9 11 14 17 18 17 15 12 10 9 8 6 6 7 9 11 13 13 12 10 7 5 6 9 11 14 17 18 17 17 17 18 19 18 12 6 3 2 3 6 7 5 3 5 9 13 16 16 13 11 10 10 9 9 9 10 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 13 17 24 30 34 34 29 19 11 8 7 9 12 13 14 14 14 13 12 10 9 10 12 15 17 18 18 17 17 19 19 20 19 19 17 13 11 10 11 13 15 17 18 20 22 24 27 29 32 35 36 33 29 23 18 14 11 8 6 6 7 9 13 15 14 12 9 8 9 12 16 18 15 13 12 11 11 11 12 13 13 11 10 8 8 8 9 10 11 11 11 11 10 9 8 9 10 12 13 12 11 10 10 11 11 12 9 7 6 7 7 8 10 12 14 14 12 11 10 10 10 9 8 9 12 14 16 18 17 14 10 7 6 7 9 11 14 18 19 19 18 17 17 17 16 11 6 4 3 5 7 9 8 8 9 11 13 14 14 13 12 12 11 10 9 9 10 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
47 41 31 23 18 16 17 21 26 33 43 52 58 62 77 101 119 136 160 174 172 164 167 173 176 184 195 208 218 203 194 157 136 124 128 152 169 171 169 165 154 138 118 103 100 99 95 94 92 84 75 67 60 48 33 28 26 25 37 38 41 51 58 60 59 59 57 55 56 57 57 60 60 60 67 63 53 42 38 43 57 71 83 79 71 62 54 44 31 17 11 10 10 10 8 7 8 8 9 11 11 10 9 9 9 9 10 10 9 9 9 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 97 152 196 177 162 126 85 57 28 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 36 31 23 17 12 10 9 10 15 24 33 44 50 56 69 80 93 119 147 160 174 195 200 188 180 175 178 187 203 214 205 202 181 170 173 172 168 161 151 141 130 119 107 96 91 91 97 103 100 91 84 79 71 55 44 34 28 35 47 45 45 52 58 55 45 41 48 55 54 49 54 61 65 70 66 57 46 39 40 51 67 81 83 82 69 61 53 39 24 13 8 8 7 8 8 8 9 10 12 12 12 9 8 9 9 10 11 10 10 10 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 29 59 75 94 97 79 52 29 12 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
38 35 31 25 17 13 9 5 3 4 10 17 29 40 48 52 52 51 59 90 118 151 193 229 228 200 179 176 180 178 178 184 193 188 184 176 170 162 151 139 129 123 117 110 102 98 97 103 118 121 115 103 91 84 79 65 45 32 36 49 50 48 53 58 53 43 39 46 53 45 39 45 53 57 58 54 50 44 38 37 45 59 74 82 86 75 68 59 49 36 23 12 8 6 6 8 9 10 11 13 14 13 11 10 10 10 11 11 11 12 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 11 58 81 87 74 51 28 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 39 37 32 24 18 13 8 4 2 3 5 9 16 29 42 48 49 49 60 82 113 161 222 247 238 224 205 188 186 179 167 155 147 151 154 159 149 137 129 122 118 117 118 118 115 113 117 133 141 135 123 110 99 92 82 62 43 36 46 56 58 59 60 55 48 48 52 53 47 41 37 37 40 43 44 43 41 37 32 36 49 64 77 85 82 74 67 59 51 37 21 10 7 5 7 10 12 13 15 15 13 12 12 12 11 11 11 11 13 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 12 53 83 73 56 32 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 41 43 42 37 29 22 15 9 4 2 2 2 3 9 23 37 47 53 55 63 81 110 164 201 219 237 249 231 218 212 194 175 156 141 140 152 142 132 125 121 120 125 133 136 137 135 133 133 137 134 126 121 119 115 104 86 64 47 50 57 61 60 57 55 55 56 59 58 51 45 42 37 38 38 40 45 46 38 28 24 37 58 78 88 89 81 75 68 62 48 30 15 9 7 7 10 13 14 15 15 15 15 15 13 12 11 11 12 13 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 27 49 70 59 43 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 40 43 47 48 41 34 26 19 12 6 3 1 1 2 7 18 29 39 48 55 63 78 99 121 137 174 208 213 206 202 187 173 159 150 149 152 133 117 115 119 128 139 147 151 156 151 140 132 123 115 111 115 127 134 128 114 95 76 60 62 68 65 58 54 54 57 63 63 56 46 43 48 49 44 42 46 44 34 22 18 28 50 76 92 96 91 83 77 69 54 34 18 11 9 8 9 13 14 13 14 15 17 17 15 13 13 13 14 14 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 22 55 78 75 51 32 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 44 45 48 48 47 43 39 33 25 17 10 5 2 1 2 7 14 24 36 46 56 63 67 74 82 109 151 195 203 186 171 182 203 184 171 165 145 119 113 123 136 147 154 157 163 160 141 117 100 93 92 100 116 135 144 140 126 106 85 74 80 81 71 64 64 65 67 68 64 54 45 46 52 52 41 35 29 22 16 16 25 45 77 91 98 95 86 78 69 55 36 20 12 11 10 9 12 11 11 11 13 16 17 16 15 14 14 15 15 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 46 58 44 29 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
52 52 54 55 53 49 48 45 43 38 30 23 16 9 5 4 3 5 11 20 30 42 55 67 74 81 94 105 123 153 162 163 177 202 182 166 173 163 144 135 139 141 149 158 159 156 153 148 136 118 109 107 110 120 140 159 161 147 127 108 94 90 95 80 71 69 69 69 69 69 64 50 47 54 60 56 39 23 16 14 18 30 52 75 84 97 93 84 75 66 53 36 21 14 12 11 9 9 9 9 8 10 13 15 16 16 15 16 16 15 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
55 60 65 66 63 57 53 49 46 43 38 33 27 20 13 9 5 3 3 7 13 22 34 47 61 76 91 106 118 132 144 152 160 169 162 145 164 156 151 146 142 138 138 150 156 152 147 146 139 124 124 134 132 130 136 151 161 152 133 116 100 93 92 80 69 69 69 67 66 68 69 58 51 58 57 50 41 31 25 21 21 31 48 64 73 87 86 82 74 63 49 33 20 12 11 10 9 8 7 8 8 10 11 14 16 17 18 19 18 16 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 47 56 63 67 66 62 57 51 47 43 39 34 29 22 15 12 7 3 2 3 5 9 18 32 49 66 83 105 123 140 149 152 151 146 138 143 136 142 143 141 136 130 129 140 148 152 147 134 122 123 136 126 113 110 119 127 123 100 85 81 82 81 74 65 63 66 65 63 64 68 67 57 64 56 45 41 40 37 30 21 21 32 47 59 69 77 80 72 59 43 28 17 10 9 8 7 7 7 7 8 10 12 14 16 18 19 20 19 16 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 33 37 44 56 65 66 66 63 56 49 43 37 31 25 20 17 12 7 4 2 0 0 3 9 18 32 51 73 97 124 145 155 155 148 141 134 128 132 133 144 148 143 137 138 146 153 150 137 125 121 120 106 88 85 89 87 75 58 47 52 56 62 62 58 58 58 58 59 61 63 64 63 68 56 47 46 47 43 33 20 15 23 36 50 64 75 80 70 54 38 24 14 9 7 6 6 7 7 8 9 10 10 13 16 19 21 21 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 31 31 33 40 52 62 68 71 66 57 47 37 29 24 20 18 16 12 9 5 3 1 1 1 2 5 9 21 44 77 114 148 171 176 167 149 133 125 124 137 147 149 145 144 152 161 155 143 126 118 112 100 88 84 81 69 52 37 25 28 29 42 50 54 56 52 49 53 61 66 66 64 61 48 41 44 45 37 26 16 13 18 33 50 66 78 79 67 49 33 19 11 7 6 6 6 7 7 8 10 11 11 12 15 19 21 20 16 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
47 40 35 32 34 41 51 61 69 69 61 50 40 31 24 19 17 15 14 12 10 8 5 3 2 1 0 0 2 9 24 52 93 138 171 183 173 161 151 139 129 128 131 136 146 162 171 164 151 131 120 110 100 94 91 85 66 44 28 18 13 14 28 41 53 56 55 53 57 65 67 67 62 53 43 39 40 34 23 12 7 9 19 38 60 72 78 74 60 42 26 16 10 7 6 6 6 7 8 9 10 11 12 12 14 17 19 17 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
56 51 46 41 36 36 40 49 59 63 59 50 41 34 27 21 17 16 16 14 12 11 9 8 6 4 2 0 0 1 3 11 28 62 107 144 163 175 192 173 145 127 125 132 151 169 177 170 153 133 122 112 100 92 87 80 62 37 22 13 7 8 20 38 56 62 62 62 66 71 71 68 60 49 41 38 34 24 12 5 4 12 29 54 80 87 78 67 53 36 22 13 8 6 6 6 6 6 7 8 10 11 13 13 14 13 13 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
52 53 51 47 40 36 36 40 47 49 46 40 34 30 27 25 22 19 16 14 13 12 11 9 8 5 4 3 1 0 0 1 3 15 42 76 111 147 187 186 170 150 140 140 152 170 177 171 160 145 130 119 103 89 81 71 53 31 15 9 6 8 20 39 57 67 67 70 74 77 73 64 57 49 37 30 22 12 6 3 6 18 40 66 87 96 72 58 44 30 19 12 8 6 6 6 6 6 7 8 10 12 13 13 11 9 7 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 49 48 44 40 37 36 35 34 36 34 31 29 29 29 29 27 23 19 17 13 11 10 10 8 6 4 4 4 2 1 0 0 1 9 24 47 77 114 148 171 168 158 154 162 173 181 174 163 152 140 126 107 91 81 66 46 27 14 10 11 16 27 47 68 77 75 74 75 74 69 58 48 40 25 20 20 14 7 6 10 26 50 70 84 84 64 48 35 22 14 9 7 6 6 6 6 6 7 8 9 11 13 11 8 5 4 3 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 0
42 45 44 41 38 37 37 37 37 36 34 32 30 29 29 30 30 28 25 21 16 13 10 8 7 6 5 6 5 4 3 1 0 0 1 3 7 14 36 77 127 158 171 180 187 191 191 186 173 160 148 131 112 98 85 63 40 24 16 16 20 23 35 62 81 83 76 70 66 59 52 43 33 24 9 7 18 21 16 12 18 35 57 72 77 69 53 38 28 15 9 7 6 6 6 6 6 6 6 6 7 9 10 8 6 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 39 39 39 37 37 37 37 36 34 34 35 34 32 30 29 29 29 28 25 21 17 11 7 6 5 4 4 4 3 5 4 2 1 0 1 2 2 8 26 62 111 161 189 205 211 206 195 184 165 149 131 114 101 88 64 38 23 17 17 19 22 35 72 87 81 68 60 56 47 36 29 22 14 6 5 21 31 30 28 34 49 67 77 69 56 41 30 22 11 6 6 6 6 6 5 5 4 4 5 5 5 6 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 0 0 0 0 0 0 0 0 0 0
32 33 34 35 35 35 34 34 33 32 32 34 35 34 31 29 28 28 29 28 26 21 15 10 6 4 3 1 1 2 5 6 5 2 1 2 2 2 2 6 20 57 115 167 200 215 216 208 192 172 149 131 115 103 88 65 40 23 18 17 17 21 38 72 82 74 63 56 50 42 29 19 15 11 9 11 24 41 45 49 56 64 69 65 54 45 31 26 19 11 8 7 7 6 4 3 3 3 4 4 3 3 4 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 0 0 0 0
30 29 30 31 32 33 33 34 32 31 31 33 35 34 31 28 27 27 27 28 28 25 20 14 9 5 3 1 1 2 3 5 7 8 5 3 2 2 0 1 3 18 57 117 171 203 216 217 205 183 157 134 117 108 86 60 37 22 14 13 16 22 44 69 73 67 62 57 50 41 30 19 12 8 9 18 35 52 61 66 70 69 62 51 40 33 21 23 19 12 7 6 5 4 2 1 2 3 3 4 3 3 3 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 0 0 0
31 30 29 30 30 30 32 35 36 32 30 31 31 29 27 26 25 24 24 25 27 26 24 18 13 8 5 2 1 2 3 5 9 10 6 3 1 1 0 0 0 3 16 61 125 178 212 224 216 192 163 138 119 107 80 55 35 19 10 8 15 24 46 63 69 70 67 61 54 46 35 23 12 6 3 13 33 54 68 74 74 63 49 38 30 22 14 19 14 8 3 2 2 1 0 0 1 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 37 33 28 28 27 28 29 31 33 34 34 32 30 26 23 22 21 21 22 23 25 25 23 18 13 10 7 3 2 3 4 5 6 5 3 2 1 0 0 0 1 6 25 81 149 203 229 223 196 167 142 124 107 82 57 35 18 8 6 12 21 39 51 58 62 64 62 58 52 45 33 20 9 4 10 28 50 66 72 68 52 37 31 24 15 10 9 5 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
55 49 43 37 34 32 31 33 36 37 37 35 32 29 26 22 20 18 17 17 20 23 24 25 23 18 14 11 8 6 6 4 3 4 5 4 4 3 2 1 0 0 1 13 41 108 178 219 222 198 168 146 132 115 91 62 38 21 10 7 10 16 28 38 51 60 65 64 60 54 46 39 28 16 9 11 26 47 64 69 60 45 32 29 16 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
66 62 58 53 49 46 43 40 39 39 38 36 34 30 27 24 20 17 16 14 16 21 23 24 24 21 18 16 13 11 9 5 5 4 5 6 7 7 6 3 1 0 1 5 17 57 130 187 206 191 167 152 138 119 94 68 47 31 20 13 11 14 21 30 50 56 60 62 61 56 52 47 35 22 14 14 24 48 67 64 51 36 23 15 6 5 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
71 72 71 70 67 64 60 56 50 47 44 42 38 35 33 28 23 19 17 16 15 20 24 24 25 24 21 18 17 15 12 9 7 4 5 6 8 10 9 6 2 0 0 0 5 21 71 138 178 182 168 152 133 113 95 78 62 48 35 22 14 15 20 30 45 49 55 60 60 57 55 50 36 24 16 15 25 48 63 55 39 24 13 5 5 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
75 77 79 82 81 79 77 74 68 63 58 53 49 44 39 35 31 25 22 20 18 16 20 22 25 23 19 17 16 17 15 11 6 3 3 5 8 11 12 10 6 2 0 0 1 8 32 94 154 166 154 136 121 112 105 93 79 62 44 29 19 19 22 29 39 47 56 63 63 62 57 47 34 25 18 14 26 44 54 49 31 17 8 6 7 9 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
80 80 82 86 90 90 89 88 86 80 74 68 65 56 49 44 39 33 29 26 24 19 15 16 22 22 18 15 14 15 16 12 7 4 3 4 7 12 17 18 13 6 1 0 0 2 17 57 113 140 132 124 124 128 128 113 102 80 56 38 29 25 24 26 31 42 56 64 68 69 65 55 40 27 18 12 25 41 50 45 28 12 8 10 12 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
81 82 83 87 90 92 93 94 93 91 87 84 80 71 64 57 49 41 37 34 32 27 20 17 19 20 17 14 13 13 14 13 9 5 3 3 6 8 12 17 17 12 4 0 0 0 6 26 64 105 123 134 143 151 149 135 124 100 73 52 38 31 28 26 26 39 54 64 68 69 65 53 38 26 18 15 26 42 52 45 27 13 11 16 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
73 76 79 83 87 90 91 91 91 91 91 91 88 83 77 72 65 56 50 47 44 39 26 19 18 15 13 11 11 11 12 13 13 9 6 4 5 7 12 17 20 18 10 3 0 0 0 9 33 74 115 143 154 172 171 157 140 116 92 73 56 44 36 29 24 37 52 61 63 61 58 51 40 29 21 20 33 46 57 46 26 14 15 21 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
65 67 69 72 76 82 87 91 93 92 91 90 89 86 84 85 83 80 74 66 59 51 44 34 26 20 16 14 13 11 12 14 17 15 11 7 5 6 10 16 21 22 18 11 4 0 0 1 14 47 91 129 147 164 163 162 149 127 106 91 75 59 46 35 28 33 49 57 58 57 56 56 45 31 26 34 47 59 62 42 22 11 12 20 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
62 62 62 64 67 71 77 84 88 91 91 91 89 87 86 87 90 90 85 80 73 64 52 43 34 25 19 17 16 15 14 16 17 17 15 10 7 6 7 12 17 20 20 18 10 3 0 0 4 25 66 111 146 162 164 168 153 132 113 100 89 75 60 44 36 38 50 55 55 57 57 52 39 29 31 46 60 63 56 35 20 11 10 14 16 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
66 64 63 64 67 70 73 82 88 90 91 92 91 89 86 87 89 88 88 85 82 75 64 52 42 31 25 22 20 17 15 15 15 17 17 14 11 7 6 10 15 22 28 23 18 10 4 1 1 11 43 93 146 179 184 175 147 128 118 110 102 91 76 52 42 46 51 51 50 53 51 42 34 33 40 50 56 58 47 29 19 12 7 10 12 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
73 72 70 70 71 74 78 82 85 87 88 89 90 90 88 90 91 92 93 90 88 84 76 63 50 38 30 25 22 19 17 15 14 16 17 17 15 10 6 8 12 18 25 29 24 22 10 3 1 5 22 64 125 173 186 166 130 114 117 119 116 106 89 61 48 48 52 52 49 49 47 41 37 44 56 61 56 52 38 23 13 7 4 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
82 80 78 75 74 77 78 80 83 85 85 86 87 89 89 91 91 93 93 91 89 87 82 72 56 43 35 27 24 22 20 17 14 13 15 17 17 14 9 8 10 15 22 30 34 33 18 7 1 2 11 34 81 143 170 153 124 115 124 129 124 114 100 76 51 50 50 51 50 46 38 33 42 56 63 60 55 49 33 18 8 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
93 92 89 87 85 84 83 86 88 88 87 86 86 86 88 88 87 89 90 90 88 87 85 79 68 54 44 37 30 27 24 20 16 13 15 17 18 18 15 12 12 15 19 25 31 35 31 18 5 2 4 15 42 93 136 137 125 121 129 131 122 113 103 87 67 62 61 58 50 40 32 33 50 63 61 57 55 49 31 15 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
103 101 99 97 95 94 94 98 96 94 91 88 85 85 87 87 87 88 89 90 89 87 84 81 76 66 56 47 40 35 30 25 21 18 16 16 17 19 18 15 14 17 23 26 32 39 41 31 13 3 2 5 18 46 89 116 116 122 133 137 128 112 101 92 81 73 66 67 48 30 24 31 47 54 51 53 56 51 34 18 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
110 109 108 107 104 103 104 108 106 100 95 92 90 90 91 90 89 88 88 88 89 88 86 84 81 75 65 52 45 42 38 33 29 24 19 16 16 17 18 17 16 18 22 28 37 50 52 43 27 9 2 1 6 21 51 89 107 120 137 145 136 117 107 104 93 77 63 52 33 22 28 48 60 55 45 49 58 55 42 27 11 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
115 114 115 116 114 113 113 113 112 105 99 95 93 94 95 96 96 94 92 91 89 88 89 89 88 83 74 60 52 50 48 43 37 31 24 18 15 15 17 18 18 19 23 31 44 61 62 53 34 15 4 2 1 8 29 66 100 121 141 149 143 129 120 117 100 84 63 40 23 25 20 24 39 49 47 49 62 53 44 31 15 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
119 119 119 120 120 120 119 118 115 111 106 100 98 101 104 105 102 97 95 96 96 97 101 103 100 94 86 76 65 61 58 54 47 39 32 23 16 14 15 16 19 21 24 31 44 59 67 62 43 23 9 3 0 3 14 47 88 120 138 148 144 136 129 122 107 76 58 38 24 29 37 31 33 38 44 51 58 57 51 36 19 6 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
122 123 124 123 124 124 124 123 121 120 116 112 110 114 119 120 117 109 98 99 101 105 109 112 111 107 100 91 81 73 68 65 60 53 43 33 25 18 14 15 18 23 27 34 43 57 69 72 55 33 16 5 1 1 6 32 75 111 130 140 139 138 136 126 102 63 48 34 20 19 31 40 34 34 41 49 57 62 58 41 22 7 1 0 0 0 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
127 128 128 129 130 130 129 128 126 129 129 127 126 126 128 129 128 120 109 105 107 116 120 121 116 110 106 103 96 88 81 77 71 64 57 50 43 33 21 16 16 19 25 33 42 55 68 75 69 48 26 11 3 2 5 20 56 97 126 138 140 143 144 125 89 51 37 24 27 27 30 33 32 31 42 52 62 66 57 41 20 7 1 0 0 0 2 2 2 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
131 130 132 136 138 137 136 134 133 134 137 141 143 141 137 133 131 124 117 113 117 131 136 129 118 108 104 106 104 99 95 92 89 83 77 71 63 49 30 19 15 17 22 30 39 50 66 81 85 69 40 19 8 3 3 13 35 90 129 146 148 150 151 122 82 50 32 25 35 32 30 31 32 35 46 59 60 54 41 26 11 2 0 0 0 2 5 5 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
128 128 130 135 140 141 144 145 143 141 144 148 152 152 148 143 136 128 122 120 122 129 135 129 118 106 99 98 102 103 102 103 104 102 99 95 87 67 42 21 15 17 21 26 34 44 59 82 91 79 52 25 10 2 1 8 31 82 125 150 159 157 148 121 81 46 22 17 24 24 28 35 40 46 52 58 49 38 24 12 4 1 1 1 2 6 11 12 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
121 123 129 132 137 142 147 152 152 150 150 152 156 160 158 152 143 136 130 129 125 123 124 124 117 107 98 94 95 96 100 104 108 110 110 109 110 93 63 34 21 19 24 30 34 41 52 73 84 77 55 30 11 1 1 5 27 68 113 152 167 164 148 119 80 46 23 14 14 18 31 46 56 60 57 50 41 26 14 6 2 2 3 4 5 8 13 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
119 122 130 130 133 142 151 158 160 158 154 155 158 161 162 157 150 141 135 133 126 122 120 120 118 111 104 100 100 101 104 107 112 117 118 115 112 97 70 46 31 25 29 33 37 42 49 60 72 74 55 32 14 4 0 3 20 60 111 157 180 171 148 116 80 44 20 16 12 17 32 51 67 70 61 51 42 21 9 5 5 6 6 6 11 18 19 18 14 6 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 120 122 124 129 139 148 155 158 158 156 160 163 165 164 161 155 148 144 138 129 126 125 124 122 119 116 117 119 119 120 123 128 136 139 135 127 114 82 58 40 31 32 37 40 47 51 54 62 71 57 36 19 7 1 1 11 51 103 152 179 168 144 117 81 49 35 23 14 15 28 48 67 74 63 56 41 21 8 7 12 14 13 12 18 27 22 17 11 4 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
121 118 118 120 126 136 143 145 147 151 156 163 169 171 170 167 163 156 150 145 140 137 133 129 127 128 132 141 148 146 143 139 136 138 145 149 150 138 109 76 53 40 37 41 47 53 57 55 61 70 63 43 24 11 3 1 6 36 87 142 177 177 153 123 84 52 33 30 22 18 28 47 66 74 66 56 38 20 9 10 18 21 18 17 17 17 11 6 3 1 0 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0
129 123 122 122 128 136 142 144 145 149 155 161 165 167 171 175 174 170 165 159 155 149 141 133 130 134 145 161 175 177 166 159 154 149 147 148 150 142 125 99 71 53 46 46 52 58 64 63 68 75 71 54 32 15 5 1 5 21 67 129 171 179 155 117 69 50 45 42 34 25 28 44 62 71 68 56 35 21 15 18 25 29 24 18 13 6 1 0 0 0 1 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
142 137 134 132 133 137 144 149 152 155 160 167 172 175 177 183 187 186 182 174 168 160 150 142 139 143 157 178 194 195 183 174 166 157 147 141 139 132 123 106 84 66 55 52 56 63 71 77 76 84 81 64 40 18 6 1 1 13 49 115 170 174 149 117 92 69 51 45 39 31 30 40 53 61 60 51 35 23 22 26 30 31 25 15 7 2 0 0 0 0 1 3 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
155 151 147 145 144 143 146 150 154 159 165 173 177 179 185 191 197 198 194 186 177 169 160 153 152 159 173 192 205 206 198 186 175 165 152 139 129 118 113 106 92 76 64 59 61 68 78 87 90 102 96 74 46 22 8 1 0 6 31 83 151 162 144 127 109 83 52 45 43 40 38 39 43 43 43 40 34 26 29 31 30 28 22 12 4 1 0 0 0 0 4 7 8 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
169 166 164 163 161 158 154 153 156 160 166 174 186 191 195 201 206 207 204 196 185 175 167 164 168 177 190 204 212 216 212 200 182 169 159 146 131 119 110 111 101 87 75 68 68 73 84 99 113 123 124 94 58 29 11 2 0 1 16 56 111 142 140 132 113 83 51 41 47 55 54 45 33 24 23 28 29 29 33 31 28 25 21 16 8 1 0 0 1 3 5 7 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
183 183 184 183 180 175 169 166 165 166 169 175 183 196 206 214 220 219 211 204 196 186 179 179 187 199 211 220 223 222 216 207 195 181 167 153 139 126 118 116 111 100 88 77 73 76 87 109 131 149 151 119 70 34 14 5 0 0 10 45 89 123 140 140 115 81 54 44 48 61 60 45 23 7 9 20 29 33 32 22 18 19 18 15 8 0 0 1 3 5 7 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
198 196 198 200 197 191 185 179 175 173 175 181 192 203 217 230 237 235 228 218 212 202 200 204 210 217 225 229 229 224 214 202 191 180 170 159 146 135 126 121 116 109 96 85 77 77 85 109 144 172 170 135 79 35 15 4 0 1 5 33 79 123 148 148 122 91 61 45 45 51 51 39 22 11 15 31 38 36 25 11 7 11 12 8 3 0 0 4 6 8 10 13 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
209 203 201 202 202 200 195 189 183 180 180 184 191 202 220 242 254 255 246 233 225 215 220 225 226 225 227 231 232 226 214 198 185 178 171 164 154 142 131 125 118 110 99 86 77 74 82 106 150 183 187 151 93 41 16 3 0 0 4 23 76 125 149 146 125 103 78 55 44 44 47 42 33 30 38 51 48 33 16 5 3 6 7 3 1 0 2 6 10 10 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
226 215 205 199 201 204 202 195 189 186 185 186 192 200 217 240 257 259 250 237 225 216 222 229 230 226 223 225 228 227 217 200 181 171 171 168 162 153 142 132 122 113 103 90 80 75 79 106 153 196 207 165 105 51 17 4 1 0 5 23 65 118 143 141 126 110 92 61 49 47 49 48 43 47 60 63 49 26 10 3 2 4 5 1 0 1 4 8 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
252 237 222 211 210 210 207 200 194 191 190 193 200 211 229 242 248 247 239 229 217 210 214 223 227 221 217 217 221 228 222 209 194 181 178 177 171 163 152 141 133 121 110 97 84 73 72 96 147 200 220 178 112 55 20 5 0 0 4 23 58 106 140 143 132 116 96 66 59 56 55 56 57 62 71 65 45 22 6 2 1 2 3 2 1 2 5 8 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
276 262 246 232 224 220 213 205 198 195 194 197 207 227 250 253 245 233 222 216 211 207 208 213 217 213 213 217 225 238 250 228 207 192 187 187 182 171 159 150 144 131 119 104 87 73 66 77 126 183 207 181 112 55 22 6 0 0 3 21 53 95 134 150 141 120 96 77 71 66 66 67 68 69 71 61 39 18 5 1 2 2 3 3 2 3 7 7 6 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 0 0 0 0 0 0 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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