Vorticity
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nan 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 3 2 2 2 2 2 2 4 4 5 6 7 8 8 7 6 5 5 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 6 9 10 10 11 11 11 9 8 6 5 5 6 6 5 5 6 6 6 6 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 9 10 11 13 13 13 13 13 12 11 10 9 7 7 nan
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nan 8 8 8 7 7 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 7 7 8 8 8 8 7 7 7 6 7 7 8 9 9 9 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 8 10 12 13 11 9 9 9 8 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 9 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 7 5 5 6 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 10 11 11 10 9 9 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 9 8 8 7 7 7 8 9 9 10 9 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 7 6 6 7 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 9 5 3 3 6 8 8 7 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 10 11 11 10 9 8 8 8 8 7 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 9 9 8 8 8 8 8 8 9 10 9 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 9 8 8 8 8 8 7 5 3 4 7 10 12 10 7 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 8 9 9 8 8 7 7 7 7 7 8 9 9 8 8 7 7 7 6 5 5 5 8 12 15 12 9 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 8 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 6 5 5 6 9 12 15 14 11 9 7 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 9 9 9 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 7 7 8 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 8 9 9 9 8 8 8 7 7 6 5 6 7 8 10 12 12 13 12 11 8 7 6 6 6 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 8 8 7 6 6 6 5 6 6 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 6 6 7 7 8 8 8 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 6 7 8 9 9 9 8 8 8 7 7 6 6 6 7 8 8 8 10 12 14 14 12 9 6 5 5 5 5 4 4 4 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 8 8 7 7 6 5 7 7 7 7 7 7 7 6 6 6 7 8 8 8 9 8 7 6 6 6 6 7 7 8 8 8 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 7 7 6 6 6 7 8 7 7 8 10 12 14 15 13 10 8 6 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 9 10 10 10 10 9 9 9 9 8 6 7 8 8 8 7 7 7 6 6 7 7 8 7 8 8 7 6 6 5 6 6 6 6 7 7 6 6 6 7 7 8 8 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 8 8 8 8 9 10 12 14 15 14 11 8 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 nan
nan 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 6 6 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 11 12 13 13 11 9 9 10 12 11 10 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 nan
nan 7 8 9 9 10 10 10 9 8 7 7 7 8 9 10 11 11 10 9 8 8 8 8 8 7 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 8 7 6 5 6 6 7 7 7 7 6 6 6 6 5 5 6 6 7 7 9 9 8 8 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 8 8 9 10 11 11 11 10 11 13 16 16 12 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 7 7 9 10 10 11 11 10 9 8 8 8 8 9 10 11 10 9 9 9 9 8 7 7 7 6 5 5 6 7 7 7 7 7 8 8 9 9 9 9 8 7 5 5 6 7 8 8 8 7 7 6 6 6 5 5 5 6 6 7 8 9 8 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 7 8 8 9 9 8 8 7 8 8 7 7 8 8 9 9 9 8 8 8 9 8 8 7 8 8 9 9 9 10 10 12 14 17 16 12 9 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 7 7 9 10 11 11 11 10 9 9 9 9 8 9 9 9 9 9 9 10 9 9 8 8 7 6 5 5 6 7 7 7 6 6 7 8 9 9 9 9 9 7 5 5 5 7 8 8 8 7 7 7 7 7 7 6 5 6 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 10 13 17 17 13 9 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 nan
nan 8 8 9 10 11 11 11 11 10 9 9 8 8 8 8 9 9 8 9 10 9 9 9 9 8 7 6 5 6 6 7 7 6 6 6 7 7 8 8 9 9 7 5 4 5 6 7 7 7 7 7 7 8 9 8 7 6 6 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 11 15 18 16 11 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 9 10 11 11 11 10 8 8 8 8 8 8 9 8 9 9 10 10 9 9 9 8 7 7 6 5 6 7 7 7 6 6 6 6 6 7 9 9 7 5 4 5 6 6 6 6 6 7 8 9 9 9 7 6 7 9 12 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 10 12 16 18 14 9 6 7 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 10 10 11 11 11 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 6 6 6 7 6 5 6 8 9 8 6 4 4 5 6 5 6 6 6 7 8 8 8 7 6 7 11 14 15 14 13 11 10 10 10 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 10 12 15 14 10 7 7 10 11 10 8 6 6 5 5 5 5 5 5 5 5 6 6 nan
nan 10 10 10 11 11 11 10 10 9 7 6 6 6 7 7 8 8 9 9 8 9 9 9 9 9 9 8 8 7 7 7 6 5 5 7 7 7 6 6 7 8 8 7 4 4 5 5 5 6 6 7 7 7 7 7 6 6 7 11 13 15 14 13 12 11 11 10 10 9 8 8 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 10 8 7 9 12 13 13 12 9 6 5 4 5 5 5 5 5 5 6 6 nan
nan 11 11 11 12 11 11 10 9 8 6 5 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 8 8 6 5 5 7 8 8 7 6 7 8 9 8 6 5 4 4 5 6 6 7 8 7 7 7 7 7 8 10 12 12 12 11 10 10 10 11 11 10 9 9 8 7 7 8 8 9 9 9 8 8 7 8 8 8 7 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 12 14 15 13 8 4 3 4 4 4 5 5 5 6 6 nan
nan 12 11 12 12 11 10 10 8 7 5 5 5 6 6 7 8 8 9 9 10 10 9 8 8 8 8 8 7 7 8 9 8 6 6 7 8 8 7 6 6 6 8 8 7 6 5 4 4 5 5 6 7 8 8 8 8 9 10 11 11 10 9 8 9 8 9 9 10 11 11 10 9 8 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 7 8 9 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 11 14 16 16 10 4 3 3 4 4 5 5 5 6 6 nan
nan 11 11 11 11 11 10 9 8 6 5 5 5 6 7 7 8 8 9 9 10 10 9 9 8 8 8 7 7 7 9 10 9 8 7 8 8 8 8 7 6 6 7 8 8 7 6 5 4 3 3 4 6 7 8 8 8 9 11 11 10 9 7 7 8 7 7 7 7 9 10 11 10 9 8 8 8 8 9 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 10 10 10 11 13 16 15 9 5 3 3 3 4 5 5 5 5 6 nan
nan 10 10 10 10 10 9 9 8 6 5 5 5 6 7 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 7 6 6 6 7 7 8 8 7 5 4 3 3 3 4 5 6 7 8 9 10 10 8 7 8 8 7 7 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 8 8 8 9 8 8 7 7 7 8 9 9 10 11 13 14 13 11 11 12 10 7 4 3 3 3 4 4 5 5 5 6 nan
nan 8 9 9 9 9 9 8 8 7 6 5 5 6 8 9 9 9 8 8 7 8 9 9 9 8 8 8 7 7 8 8 8 8 9 8 6 6 7 7 7 6 6 6 7 8 8 8 7 6 4 3 2 2 3 4 6 7 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 10 10 9 9 9 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 9 9 10 11 14 15 16 14 10 8 7 6 4 3 3 3 3 4 4 4 5 5 5 nan
nan 6 7 8 8 8 8 8 8 7 6 5 5 6 8 9 10 9 8 7 6 7 9 9 9 9 8 8 8 7 7 7 7 8 10 9 7 6 6 6 7 7 6 6 7 7 8 8 8 7 6 5 4 3 3 4 5 6 7 7 7 7 7 9 10 10 9 9 8 7 7 7 8 8 9 10 10 9 9 8 8 8 9 9 8 8 7 8 8 8 7 8 8 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 13 14 15 14 11 8 6 4 3 3 3 3 3 3 4 4 5 5 6 nan
nan 5 6 7 8 8 8 7 7 7 7 6 5 5 7 9 11 11 9 7 6 7 8 9 9 9 9 8 7 7 6 6 6 8 10 11 8 6 5 6 7 7 7 7 7 7 7 8 8 9 8 7 6 5 4 4 5 6 7 8 7 6 6 8 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 11 9 6 3 3 3 3 3 3 3 4 4 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
84 106 110 108 115 123 104 110 106 111 141 160 155 141 121 116 122 114 145 148 84 55 64 74 81 85 79 68 50 53 95 95 77 46 25 16 13 15 16 12 6 3 2 7 5 5 6 5 3 2 1 1 2 0 0 3 6 10 19 19 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 40 80 107 147 191 187 188 210 213 237 245 240 243 269 275 259 265 282 256 255 256 304 349 359 356 376 412 449 473 487 570 651 709 804 892 992 1030 964 848 785 803 808 875 878 851 892 938 1020 1086 1043 941 876 845
91 121 117 106 108 121 111 107 93 94 115 127 112 88 71 72 80 77 86 82 78 80 75 57 34 25 32 34 39 60 98 99 87 58 31 17 13 13 13 10 5 1 0 2 2 2 4 5 5 3 1 2 7 1 0 2 6 14 19 15 6 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 11 40 64 70 88 123 146 144 167 182 199 216 220 212 195 182 182 191 223 237 240 237 238 250 276 314 353 371 401 426 464 547 581 616 706 835 995 1126 1098 969 890 796 828 905 961 964 970 962 926 896 861 831 801 854
93 121 111 93 98 90 91 81 74 79 87 84 76 83 91 68 57 64 62 56 52 52 52 47 33 12 13 27 56 83 104 106 98 74 42 21 15 15 14 10 5 1 0 0 0 0 1 3 4 3 0 0 5 3 1 2 9 18 17 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 39 53 55 67 92 100 107 126 153 160 154 149 145 135 133 150 162 198 217 221 220 220 236 267 298 325 347 366 378 417 457 504 551 619 730 905 1128 1147 1024 887 808 816 833 877 930 955 963 937 872 798 792 814 871
91 108 84 64 68 61 57 57 63 71 73 70 83 123 149 125 109 111 101 79 58 46 53 71 69 28 33 62 66 62 74 94 101 87 65 43 16 13 12 9 4 2 0 0 0 0 0 0 1 1 0 0 2 3 2 3 13 22 17 5 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 27 43 46 56 76 73 77 84 100 124 133 114 124 130 141 140 148 168 165 171 190 210 234 246 260 274 299 313 325 349 393 440 477 526 609 752 1002 1086 1023 934 884 859 815 791 823 847 875 858 819 763 746 741 748
79 86 61 39 39 37 35 41 56 68 74 88 128 165 199 248 289 251 174 94 52 46 58 84 95 65 64 77 55 29 33 56 79 86 75 49 18 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 11 18 16 6 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 26 33 37 44 47 52 57 62 68 86 102 89 91 108 120 121 122 128 127 137 157 170 179 197 212 218 230 248 268 302 343 371 395 422 484 593 773 930 1029 985 918 879 832 780 736 673 737 719 700 685 668 629 591
70 60 34 27 27 17 12 25 46 63 86 118 146 158 195 260 313 261 162 80 48 56 75 88 92 76 72 62 39 18 15 24 44 72 81 60 27 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 10 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 20 21 23 27 31 36 43 47 48 52 58 57 62 74 85 94 100 105 114 125 134 134 136 153 165 170 178 188 199 217 244 272 290 307 354 425 552 732 906 961 918 859 813 803 768 637 613 599 593 592 589 572 540
56 30 12 32 29 26 28 34 42 55 80 114 136 131 148 176 182 140 94 68 64 78 86 78 67 56 50 39 21 10 8 10 20 42 62 65 35 13 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 8 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 13 12 14 17 16 19 25 29 30 31 34 36 40 56 64 69 79 88 95 98 96 97 108 114 119 123 128 129 132 140 143 150 176 199 213 262 360 522 713 844 888 825 758 774 799 763 665 588 556 533 508 511 499
26 5 21 31 32 33 35 37 40 44 54 72 91 92 94 113 103 76 60 54 51 53 54 43 34 28 25 17 8 5 6 7 12 20 28 24 16 12 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 8 25 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 12 11 9 9 11 11 10 11 12 12 12 15 19 22 30 33 37 50 64 75 76 73 71 80 85 83 82 82 82 86 90 90 90 99 108 111 142 202 290 420 590 747 722 674 669 683 693 653 585 548 527 472 456 425
53 24 26 33 36 36 35 37 37 36 36 40 47 49 51 55 51 40 29 20 16 14 21 15 11 7 8 6 4 4 5 7 11 16 20 19 13 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 28 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 10 10 8 9 10 11 9 6 5 4 4 7 9 10 10 13 18 26 36 51 48 45 48 52 51 50 50 48 47 46 43 39 40 45 52 57 70 95 134 192 265 456 510 534 543 524 502 490 470 469 485 455 420 397
95 77 60 55 52 46 41 39 38 35 32 34 34 30 28 27 23 12 3 1 1 2 2 7 6 6 6 5 4 4 5 7 9 14 16 10 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 10 25 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 8 8 9 9 9 10 9 8 8 7 7 7 7 8 9 9 11 13 13 16 26 27 29 31 32 30 28 28 25 21 18 14 12 14 17 22 27 34 43 54 86 113 196 272 344 398 397 339 300 307 336 355 350 329 324
82 75 82 95 90 70 53 49 51 45 43 41 33 21 14 10 5 1 0 0 0 2 2 6 7 10 11 8 4 4 5 8 7 9 9 7 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 8 19 20 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 6 5 7 7 8 9 8 8 8 7 8 8 7 7 9 8 10 12 11 11 12 12 11 12 14 11 9 13 13 11 12 11 10 9 10 12 14 17 19 27 40 58 88 125 178 238 265 248 225 223 228 228 225 226 219
69 62 91 141 141 101 70 66 77 74 66 63 30 9 2 1 0 0 0 0 0 1 1 1 3 6 8 6 4 3 4 6 7 7 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 16 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 4 5 4 5 4 4 5 5 4 3 4 3 5 8 9 8 8 8 7 7 8 9 9 10 11 11 12 12 13 12 11 11 12 13 14 17 23 36 47 58 79 112 145 156 174 165 156 149 151 156 146
79 76 113 166 164 112 67 62 92 102 84 57 15 2 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 5 7 8 6 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 13 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 3 2 1 1 2 3 3 3 3 3 3 4 6 7 8 8 9 10 11 10 11 12 12 12 13 14 15 16 15 14 14 14 14 14 14 12 13 19 29 39 57 88 76 81 78 83 87 88 90 98
113 102 138 167 149 96 56 58 87 99 75 30 5 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 5 6 7 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 2 1 2 2 3 3 3 2 3 4 4 5 5 5 5 5 6 8 9 9 10 11 13 12 13 13 13 13 14 15 17 19 17 17 17 16 14 14 12 10 10 12 17 20 26 49 47 47 47 45 43 40 40 50
169 147 170 181 149 98 71 92 98 78 42 11 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 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 1 3 2 1 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 3 3 3 3 4 4 5 6 7 7 6 7 8 9 9 9 10 13 12 13 13 13 14 15 17 18 20 19 18 18 17 14 12 10 9 9 11 12 13 14 21 23 26 27 25 24 21 21 22
238 235 259 249 202 144 97 111 87 46 16 3 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 3 4 4 5 7 9 9 9 9 9 8 8 8 10 11 12 13 14 14 15 16 16 15 16 17 18 17 16 14 12 10 9 8 9 9 11 13 15 17 18 17 16 18 16 17 17
270 259 256 241 216 178 115 86 47 19 4 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 3 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 3 4 5 6 8 9 10 10 10 10 8 8 9 10 11 12 14 15 14 14 15 14 13 13 14 14 15 15 14 13 11 9 8 8 9 11 12 14 14 13 12 14 15 15 14 14
253 228 201 180 173 165 118 61 19 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 4 5 6 8 9 9 10 10 10 10 10 9 9 10 12 13 14 14 13 12 12 12 12 13 13 13 14 14 13 12 12 9 9 9 10 10 12 14 14 14 13 13 14 14 13 13
203 184 164 148 138 130 94 44 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 3 4 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 3 2 2 3 3 3 4 4 5 6 8 8 9 10 11 10 10 10 10 10 11 11 12 13 13 12 12 11 10 11 12 12 12 12 12 12 11 11 10 10 11 11 11 13 14 15 15 15 14 13 13 13 13
122 112 107 105 101 83 57 35 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 5 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 2 1 1 2 3 4 4 4 3 3 3 3 3 4 4 5 6 7 9 9 9 9 9 9 10 11 12 13 13 11 12 12 12 12 11 11 12 11 11 11 11 11 10 10 10 11 12 12 12 13 14 14 14 14 14 14 13 13 14
45 48 52 61 74 37 35 31 12 3 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 4 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 1 1 2 3 3 4 5 5 4 3 2 3 3 3 4 4 5 6 6 7 8 8 8 8 8 10 11 13 14 13 13 12 13 13 13 13 13 12 11 11 11 11 10 10 9 9 10 10 11 11 13 14 15 14 14 14 14 14 14 15
10 12 10 18 52 20 23 20 12 5 1 0 0 0 0 0 0 0 0 0 0 1 3 5 2 1 2 2 2 2 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 1 1 0 2 3 4 4 5 6 5 3 3 3 3 3 4 4 4 6 7 8 8 8 9 8 8 9 10 12 14 15 16 14 14 14 14 13 12 11 10 10 11 11 10 9 9 8 9 10 10 11 12 13 14 15 16 15 16 17 15 16
2 2 1 7 35 24 17 11 5 2 1 0 0 0 0 0 0 0 0 0 1 4 9 12 2 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 5 6 4 3 3 3 4 4 4 5 5 6 7 8 8 7 7 7 8 8 10 13 14 15 16 15 14 14 15 15 15 12 11 11 11 10 10 10 10 9 9 11 12 13 13 14 16 17 18 17 17 17 15 15
0 0 3 17 35 20 13 5 1 0 0 0 0 0 0 0 0 0 0 1 5 12 16 17 6 3 1 1 1 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 1 1 1 3 3 4 5 5 6 5 4 5 5 4 4 4 5 6 6 6 7 7 6 6 6 7 9 11 12 13 14 14 14 14 15 15 16 17 15 14 14 13 12 12 11 10 10 11 13 14 14 15 17 18 19 20 19 18 17 16 15
0 0 7 31 47 18 12 4 0 0 0 0 0 0 0 0 0 0 0 3 10 15 14 13 11 8 3 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 1 2 1 2 4 4 5 5 5 6 7 5 5 5 5 5 5 5 6 7 6 7 6 6 6 7 8 9 10 10 11 12 13 14 14 14 14 15 17 18 19 18 15 14 13 12 11 10 13 15 16 16 17 18 20 21 21 21 19 17 16 16
0 0 3 16 24 11 9 4 0 1 3 6 8 6 5 1 1 2 2 6 9 8 5 3 7 6 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 1 7 3 1 3 4 4 5 6 6 7 8 6 5 4 4 4 5 5 6 6 6 6 6 7 7 7 7 9 10 10 10 11 12 13 14 14 15 16 17 18 19 18 15 14 14 14 12 13 15 17 18 18 18 19 20 22 23 22 19 17 16 16
0 0 0 0 0 2 2 4 7 7 7 8 6 1 0 0 7 14 11 4 1 2 2 2 7 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 3 3 2 3 4 5 6 6 7 8 9 8 6 5 4 4 5 5 6 6 5 5 6 7 6 7 8 9 9 9 8 10 11 13 14 15 16 17 18 19 19 17 14 13 13 14 13 14 15 18 19 18 18 18 19 20 21 21 20 17 17 16
0 0 0 0 0 0 0 2 3 2 3 4 1 0 0 0 4 6 4 1 1 2 2 2 13 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 1 3 2 2 3 4 5 6 7 7 7 8 8 8 6 5 4 4 5 5 5 5 6 6 6 7 8 9 9 9 8 8 10 11 13 14 15 16 17 17 18 19 17 13 13 12 12 12 13 15 18 18 17 16 16 17 18 19 19 19 19 18 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 7 4 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 1 2 2 1 3 4 5 7 7 7 7 7 8 9 7 7 5 5 5 5 5 6 7 6 7 8 8 8 8 8 8 8 10 12 14 15 16 16 16 16 17 18 15 13 12 11 10 11 13 14 16 16 16 15 16 17 17 17 18 19 19 18 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 1 4 5 5 6 7 9 10 10 9 9 10 8 6 6 6 6 6 7 7 6 7 7 8 8 8 8 7 9 11 12 13 14 15 15 15 15 16 16 14 13 12 11 10 11 12 13 13 14 15 15 15 16 17 17 18 19 18 17 16
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