% Directional Spectrum % 90 Directions and 128 Frequencies % Units are mm/sqrt(Hz) per degree % Frequency Bands are 0.00781250 Hz % The first direction slice begins at 117 degrees 910 870 791 712 633 553 474 356 276 197 158 79 39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39 118 197 276 395 514 633 751 870 989 1147 1266 1384 1464 1503 1543 1543 1503 1424 1305 1187 1068 910 791 672 514 395 316 197 118 39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39 79 158 237 356 435 514 633 712 791 830 910 949 949 949 1862 1960 1862 1862 1764 1666 1470 1372 1176 1078 882 686 588 490 392 294 196 98 98 0 0 0 0 98 98 196 294 490 588 784 980 1274 1470 1764 2058 2450 2744 3038 3332 3626 3822 4018 4116 4018 3920 3724 3430 3136 2744 2352 1960 1666 1274 980 686 392 98 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 196 392 588 784 980 1176 1372 1568 1666 1862 0 0 0 47 238 428 667 905 1239 1572 1953 2335 2716 3002 3145 3145 3002 2716 2382 2001 1620 1239 905 667 428 190 47 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 142 285 381 524 667 810 905 953 1000 1000 953 857 762 619 476 333 238 95 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 243 365 548 731 914 1219 1463 1767 2133 2499 2804 3109 3352 3474 3474 3352 3048 2743 2316 1950 1524 1158 792 487 243 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 121 243 426 609 731 853 975 1097 1158 1158 1158 1097 1036 914 792 670 548 487 365 243 182 60 0 0 0 0 0 0 0 0 0 0 60 121 937 1015 1093 1145 1197 1223 1249 1249 1223 1171 1119 1041 963 859 755 676 572 468 364 286 208 130 78 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 26 52 78 78 104 130 156 182 234 260 312 338 390 468 520 572 650 729 807 859 14328 15920 17512 19104 19104 17512 15920 14328 11144 7960 4776 3184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4776 11144 17512 27064 36616 49352 63680 78008 93928 108256 120992 125768 125768 117808 105072 89152 71640 55720 41392 30248 19104 11144 3184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4776 7960 11144 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5726 5249 4772 4295 3817 3340 2863 2386 2386 1908 1431 954 954 477 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 477 477 477 954 954 1431 1431 1908 1908 2386 2386 2863 3340 3817 4295 4772 5249 5726 6681 7158 8112 8590 9544 10021 10976 11930 12407 13362 13839 14316 14793 14793 15271 15271 15271 14793 14793 14316 13839 13362 12885 11930 11453 10976 10498 9544 9067 8590 8112 7635 7158 6681 6203 7329 7329 6663 5996 5330 5330 4664 4664 4664 4664 4664 4664 4664 5330 5996 6663 7995 8661 9994 11327 13326 14658 16657 18656 20655 22654 23987 25319 26652 27318 27318 26652 25319 23987 21988 19989 17323 14658 11993 9994 7329 5330 3331 1332 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 666 1998 2665 3997 4664 5996 6663 7329 7995 8661 8661 9328 9328 9328 8661 8661 7995 0 0 0 0 0 0 0 243 567 972 1459 2108 2837 3648 4540 5513 6324 6972 7135 6972 6405 5594 4783 3891 3162 2432 1864 1378 972 648 405 162 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 829 1658 2488 3317 4147 4976 5806 6635 7464 8294 9123 9953 10782 12441 13271 14100 14929 15759 16588 17418 17418 18247 19077 19906 20736 21565 21565 22394 23224 23224 24053 24053 24883 24883 24883 24883 24883 24883 24883 24053 23224 22394 20736 19906 18247 16588 14929 13271 11612 9953 8294 6635 4976 3317 1658 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 833 2084 3752 5420 7922 10424 13760 17513 22100 26687 31274 34610 36695 36695 34610 30857 26270 21683 17096 12926 9590 6671 4169 2084 416 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10310 13122 15934 19683 24369 28118 33742 39366 44990 50614 55300 59049 61861 62798 60924 58112 52488 46864 40303 33742 28118 22495 16871 12184 8435 5623 1874 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 937 1874 2811 3749 4686 6561 8435 0 0 0 0 0 2545 5091 8485 12727 18667 25455 33940 44122 56001 67880 78062 84850 84002 77214 67032 54304 41576 31394 22061 15273 9333 5091 1697 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3431 10294 18872 30882 44607 60048 78921 99509 118381 135538 144116 145832 138969 126959 111518 94362 78921 65195 53185 42891 34313 25735 20588 13725 10294 5147 1715 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11912 14890 20847 23825 29781 35738 41694 50629 59563 74454 89345 107214 131039 160821 193581 229320 259101 276970 276970 250167 208472 160821 113170 74454 44672 20847 2978 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2978 5956 8934 0 0 0 0 5682 13259 22729 34094 49247 68189 90918 117436 143954 168578 185626 191308 179943 159108 132590 104177 79554 58718 39777 26518 15153 5682 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9910 17342 27253 39640 54506 71849 91669 113967 141221 170951 198204 220503 230413 227935 208115 180862 146176 113967 84237 59461 37163 22298 9910 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2477 0 0 0 0 0 5302 12372 22977 35350 51258 68933 91911 118424 144937 166148 178521 176753 162613 139635 113122 88376 67166 47723 33583 21210 12372 5302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5904 13284 23616 39852 60517 91514 131367 178600 214025 216977 181552 131367 87086 53137 29520 13284 2952 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6747 22490 44980 76466 123695 186667 258636 314861 323857 278877 211406 148434 101205 67470 42731 24739 11245 2249 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6978 17446 34893 55829 83743 118636 160508 212848 272167 327996 366378 373357 348932 303570 244252 188423 139572 97700 66297 41871 24425 6978 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2540 7620 15240 26036 41277 60963 81285 90810 85095 68584 50803 36197 25401 17146 11430 7620 4445 1905 635 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2099 7348 13646 24144 38841 59836 89229 127020 160613 167961 139618 97627 60886 35691 17845 7348 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1170 5854 11708 18732 26928 36295 46832 57369 67907 76102 81956 85469 84298 80785 74931 67907 59711 51515 44490 37465 31611 25757 21074 17562 14049 11708 9366 7024 4683 3512 2341 2341 1170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3383 7613 14381 21995 32992 46528 62601 79520 93902 99823 95593 82058 65985 49911 35530 24532 16073 9305 4229 845 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2599 3899 5199 7799 9099 10399 12998 14298 16898 19498 22098 23398 25997 28597 32497 35097 37697 41596 45496 48096 51995 55895 59795 62395 64994 66294 66294 64994 62395 57195 51995 45496 38996 31197 24698 19498 12998 9099 3899 1299 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1299 5832 9477 13851 19683 26973 35721 46656 58320 69255 76545 77274 70713 60507 48114 36450 26973 18954 12393 7290 3645 729 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 729 2916 71092 69221 63608 56125 48642 41158 33675 27127 21514 16837 13095 10289 7483 5612 3741 2806 1870 935 935 0 0 0 0 0 0 935 935 935 935 1870 1870 2806 2806 3741 4677 5612 5612 6547 7483 7483 7483 7483 7483 7483 6547 5612 3741 2806 935 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 935 5612 11225 18708 27127 36481 46771 56125 64544 69221 9615 9049 8201 7635 6787 6221 5656 5090 4807 4242 3676 3393 2828 2262 1696 1414 848 282 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1414 2828 4524 6504 8484 10746 12443 14140 15271 15554 15837 15271 14705 13857 13009 12160 11312 10463 10244 12293 14342 16391 18440 19611 20489 20489 19903 18440 16684 14927 12878 10830 9073 7317 5854 4683 3512 2634 2048 1170 878 292 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 292 878 1756 2634 3805 4975 6439 8195 2186 1789 1391 1192 795 596 397 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 198 397 596 795 994 1192 1590 1789 1789 1988 2186 2385 2385 2385 2584 2584 2584 2584 2783 2783 2982 3180 3379 3578 3777 3976 4373 4572 4970 5169 5566 5765 5964 6163 6163 6361 6361 6361 6163 6163 5964 5765 5566 5367 4970 4771 4373 3976 3578 3180 2783 2584 0 0 245 614 859 1351 1719 2211 2702 3193 3685 4176 4545 5036 5405 5773 6142 6510 6756 7001 7124 7124 7001 6633 6142 5405 4667 3808 2948 2088 1351 737 245 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3406 3708 3860 3935 3935 3784 3557 3330 3027 2724 2422 2195 1967 1816 1665 1589 1438 1362 1286 1211 1211 1135 1059 1059 983 908 832 756 681 605 529 454 378 302 227 151 75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 227 529 832 1211 1665 2119 2573 2951 4771 5964 6958 7952 8946 9741 10139 10338 10139 9741 8946 7952 6958 5765 4771 3777 2982 2186 1391 994 397 0 0 0 0 0 0 0 0 0 0 0 0 397 596 1192 1590 1988 2584 2982 3379 3777 3976 4175 4175 4175 3976 3578 3180 2783 2385 1988 1590 994 596 397 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 397 795 1391 2186 2982 3777 11419 11419 10943 9991 9040 7771 6661 5551 4599 3647 2854 2220 1586 1110 793 475 158 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 317 634 1110 1586 2220 2854 3647 4599 5709 6978 8088 9357 10309 11102 5029 4959 4604 4179 3613 3046 2408 1912 1416 991 637 354 141 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 141 283 354 495 566 637 708 708 708 708 566 495 354 212 70 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 141 354 637 920 1275 1629 2125 2621 3117 3683 4179 4604 4959 0 0 728 1700 2671 3885 5343 6800 8500 9957 11415 12629 13600 14086 14086 13843 13358 12629 11900 11172 10443 9714 8743 8014 7286 6557 5586 4857 4128 3400 2671 1942 1214 485 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16369 16652 16652 16087 14958 13265 11571 9596 7620 5927 4233 2822 1975 846 282 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 282 564 1128 1693 2257 2540 3104 3669 4233 4798 5362 5927 6491 7338 8184 9031 10160 11007 12136 13547 14394 15523 1034 1345 1707 2017 2431 2793 3104 3362 3569 3621 3518 3259 2948 2535 2172 1810 1448 1138 931 724 569 413 310 206 155 103 51 51 0 0 0 0 0 0 0 0 0 0 0 0 51 51 103 155 206 206 258 258 310 310 258 258 206 103 51 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 103 310 517 776 92 185 277 463 648 833 1111 1389 1759 2037 2408 2871 3241 3612 3982 4260 4445 4631 4631 4631 4538 4353 4075 3890 3612 3241 2963 2686 2408 2130 1852 1667 1389 1204 1018 833 740 555 463 370 277 185 92 92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1465 1293 1207 1034 948 862 862 776 776 776 689 689 776 776 776 776 689 689 689 603 603 517 431 344 344 258 172 86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 86 86 86 172 172 172 172 258 258 258 258 258 258 258 258 258 344 431 517 603 689 862 948 1121 1379 1552 1810 1983 2242 2500 2759 2931 3104 3190 3276 3276 3276 3190 3104 2931 2759 2586 2328 2155 1983 1810 1638 9857 10246 10116 9727 8819 7782 6614 5447 4409 3501 2723 2075 1556 1167 778 518 389 259 129 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 389 778 1297 1815 2594 3372 4409 5577 6744 7911 8949 0 0 0 0 0 0 0 0 0 349 699 1165 1747 2330 2913 3612 4311 4893 5476 5942 6175 6408 6408 6292 6059 5826 5360 5010 4544 4078 3612 3146 2680 2330 1980 1631 1398 1165 932 699 582 349 233 233 116 0 0 0 0 0 0 0 0 0 0 0 0 0 116 116 233 233 233 349 349 466 466 466 466 466 466 466 349 349 233 116 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1176 1274 1470 1666 1764 1960 2156 2352 2548 2744 3038 3234 3332 3528 3724 3822 3822 3920 3822 3724 3626 3430 3136 2842 2548 2156 1764 1372 980 686 294 98 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 196 392 588 784 980 1176 1274 1372 1470 1372 1372 1274 1078 882 784 588 392 294 98 0 0 0 0 0 0 0 0 0 0 0 98 196 392 490 686 784 980 839 900 915 884 823 732 640 533 427 335 259 198 152 122 91 91 76 91 91 106 137 152 183 213 244 274 289 305 320 305 289 274 244 213 167 137 91 61 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 61 122 198 289 396 503 625 747 3030 3788 4545 5227 5833 6137 6212 5985 5455 4773 4091 3333 2727 2121 1591 1212 833 530 303 75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75 227 378 606 984 1363 1818 2424 0 0 137 412 550 687 825 963 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1238 1238 1375 1375 1375 1375 1375 1375 1238 1100 963 825 687 550 412 275 137 0 0 0 0 0 0 0 137 275 550 825 1238 1650 2201 2889 3714 4540 5640 6603 7566 8392 8942 9080 8667 7841 6741 5503 4264 3164 2063 1238 550 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 129 207 337 441 597 726 882 1012 1142 1220 1245 1220 1142 1038 882 726 597 441 337 207 129 51 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 129 233 363 493 622 752 856 960 1012 1012 960 882 752 648 519 389 285 181 103 51 0 0 0 0 0 0 0 0 0 0 129 162 227 259 292 357 389 422 422 422 422 422 422 389 389 389 422 422 454 487 519 552 584 649 682 714 747 747 747 714 682 617 552 487 389 292 227 129 64 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 129 259 389 519 649 779 909 1007 1039 1072 1072 1039 974 909 812 714 617 487 389 324 227 162 129 64 64 32 32 32 32 64 97 519 727 1039 1247 1455 1455 1351 1039 727 311 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 415 1039 1870 2910 3949 4884 5612 6028 5820 5196 4261 3325 2390 1662 1039 415 103 0 0 0 0 0 0 0 0 0 0 207 727 1247 1974 2702 3429 4053 4469 4573 4365 3845 3325 2702 2078 1455 1039 623 207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 207 0 0 0 0 0 0 0 0 0 0 0 29 58 58 58 58 58 29 29 0 0 0 0 0 0 0 0 0 29 29 58 116 145 175 204 204 233 233 233 233 233 233 233 233 233 262 262 291 321 350 379 379 408 408 408 408 379 350 321 291 291 262 262 262 291 321 350 408 496 612 729 846 992 1167 1284 1401 1488 1488 1430 1313 1167 992 817 642 467 321 204 116 58 0 324 405 567 648 810 891 891 891 891 810 648 567 405 324 243 162 162 162 162 324 405 648 972 1297 1783 2270 2918 3648 4378 5108 5594 5837 5756 5351 4702 3891 3081 2351 1621 1054 648 243 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 81 162 243 324 405 486 486 486 486 405 405 405 405 324 324 324 243 243 162 81 81 81 0 0 0 0 81 162 243 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 98 294 491 589 687 785 785 785 687 687 589 491 491 491 491 491 589 687 883 1080 1374 1767 2062 2455 2847 3240 3437 3633 3731 3731 3633 3535 3339 3044 2847 2651 2356 2160 2062 1964 1865 1865 1865 1964 1964 2062 2160 2258 2258 2258 2160 1964 1767 1473 1080 687 294 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10935 12939 14580 15491 14944 13304 10752 8018 5467 3462 1822 546 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 364 911 1458 2004 2369 2733 2916 2733 2551 2187 1640 1275 729 364 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 182 364 729 911 1093 1275 1640 1822 2187 2551 3098 3645 4556 5649 7107 8930 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 182 242 303 303 303 303 242 182 121 60 0 0 0 0 0 0 0 0 60 182 364 607 910 1275 1760 2246 2793 3278 3764 4068 4189 4189 3946 3582 3096 2610 2125 1639 1214 910 607 364 182 121 0 0 0 0 60 121 242 364 485 607 728 850 910 910 910 789 667 485 242 60 0 0 0 0 0 0 0 0 0 0 0 0 304 365 487 548 669 791 974 1096 1278 1461 1583 1705 1827 1948 2070 2192 2314 2496 2618 2801 2923 3045 3045 2984 2801 2496 2192 1827 1400 1035 730 487 243 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 121 182 304 365 426 487 487 487 487 426 365 304 243 121 60 0 0 0 0 0 0 0 0 0 0 60 60 121 182 182 243 304 1114 1114 1114 1114 1114 1238 1238 1238 1362 1362 1238 1238 1114 866 619 371 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 123 495 742 1114 1362 1609 1857 1981 2105 2105 2105 2105 1981 1857 1733 1485 1362 1114 866 619 495 371 247 247 247 247 371 619 866 1238 1733 2228 2848 3591 4210 4829 5324 5572 5572 5324 4953 4334 3838 3219 2724 2352 2105 1733 1609 1362 1362 1238 0 208 521 730 834 939 939 834 834 730 626 626 626 730 834 1043 1252 1565 1774 1982 2087 2087 2087 1982 1774 1565 1356 1147 1043 939 939 1043 1252 1565 2087 2713 3443 4278 5113 5739 6156 6052 5635 4800 3861 2921 1982 1252 626 208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 313 521 730 939 1147 1252 1147 1043 834 521 208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1426 1621 1750 1815 1783 1653 1491 1297 1070 907 778 680 616 583 583 583 648 680 713 745 778 778 745 680 616 518 421 324 226 129 64 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 64 97 129 162 162 162 162 129 129 97 64 32 0 0 0 0 32 64 162 259 389 551 745 972 1199 2079 831 0 0 0 0 0 0 0 0 0 0 0 207 623 831 1247 1663 2079 2703 3119 3743 4575 5199 6031 7071 7695 8319 8319 7903 7279 6031 4783 3535 2495 1455 831 207 0 0 0 0 0 0 0 0 0 207 415 831 831 1039 1039 831 623 415 207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 207 1247 2495 4367 6447 8943 11231 12895 13102 12271 10191 7695 5407 3535 3237 3139 2943 2550 2158 1765 1471 1177 882 784 588 588 588 588 588 588 588 588 490 392 294 196 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 98 392 784 1079 1373 1667 1962 2158 2256 2256 2158 1962 1765 1569 1373 1177 1079 981 882 882 882 981 1079 1177 1275 1373 1569 1667 1765 1765 1864 1765 1667 1569 1373 1177 981 882 686 686 686 686 882 1079 1471 1864 2256 2648 2943 3237 544 952 1360 1632 1905 1905 1768 1496 952 544 136 0 0 0 0 0 0 272 680 1088 1496 2041 2313 2449 2449 2177 1768 1360 816 408 0 0 0 0 0 0 0 0 0 0 272 544 816 952 1224 1360 1360 1496 1496 1496 1360 1360 1496 1496 1632 1905 2177 2721 3401 4218 5306 6395 7620 8572 8980 8708 7756 6395 4898 3401 2041 1088 272 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 136 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 757 640 505 360 243 144 72 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 45 63 72 90 99 108 99 99 90 81 63 54 45 27 18 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 36 63 81 90 90 90 90 81 63 54 45 36 36 45 54 81 108 162 234 324 441 568 694 784 811 0 141 282 424 424 353 141 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 70 212 424 565 636 777 848 989 1060 1201 1414 1555 1696 1767 1767 1626 1343 1060 707 353 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 141 494 919 1484 2191 2898 3605 4100 4383 4383 4100 3747 3322 2898 2474 2121 1767 1414 1060 707 353 141 0 0 0 0 0 0 0 4468 4324 3891 3459 3027 2594 2306 1873 1441 1153 864 576 432 288 288 432 864 1585 2450 3603 5045 6630 7783 8072 7351 5765 4036 2450 1297 288 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 144 288 288 288 288 144 0 0 0 0 0 0 0 288 720 1297 2162 3027 3891 4468 4612 4324 3459 2450 1441 576 0 0 0 0 0 0 0 0 0 0 288 864 1585 2450 3171 3891 4324 4612 215 264 303 316 308 268 220 167 118 79 48 26 8 0 0 0 0 0 0 0 4 13 22 30 35 39 35 30 22 13 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 30 52 79 105 127 145 149 145 127 101 79 52 35 17 8 0 0 0 0 0 0 0 4 8 13 17 26 39 61 83 118 162 5407 5297 4524 3421 2317 1324 551 110 0 0 0 0 0 0 0 0 0 0 0 0 0 0 220 551 882 1324 1765 2096 2317 2317 2096 1765 1434 1103 882 662 662 662 772 882 1103 1213 1324 1213 1103 772 441 110 0 0 0 0 0 0 0 0 0 0 110 331 441 441 331 220 0 0 0 0 0 0 0 0 110 662 1434 2317 3200 4083 4635 4635 4304 3862 3200 2759 2538 2538 2869 3421 4193 4966 2326 1762 1127 563 70 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 422 916 1480 2044 2396 2467 2255 1903 1550 1198 916 704 493 422 352 352 422 493 563 704 845 916 916 845 704 493 211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 281 704 1127 1480 1621 1621 1480 1268 1057 916 845 775 845 916 1057 1268 1409 1621 1903 2114 2396 2608 2819 2890 2678 434 652 912 1086 1260 1347 1391 1347 1260 1130 999 869 739 608 521 478 391 347 304 217 130 43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 86 130 173 217 260 260 260 304 347 434 521 608 782 956 1130 1304 1434 1565 1695 1738 1738 1738 1695 1608 1478 1304 1086 825 608 347 130 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 43 260 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5633 3661 2253 1690 1126 1126 1126 1126 845 563 0 0 0 0 0 0 0 0 0 0 0 0 0 1690 5070 9858 15773 21125 23379 21970 17745 12957 8731 5633 3380 1690 563 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 845 1690 2253 2535 2253 1408 281 0 0 0 0 0 0 0 0 0 0 1126 2816 5070 7605 10422 12957 14647 14928 13520 10985 8168 0 0 0 0 948 3018 7415 15866 24403 18108 8536 3449 1034 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 86 258 344 517 517 517 431 258 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 86 172 172 86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 86 86 86 0 0 0 0 0 0 0 0 302 832 1362 1740 2043 2119 1967 1740 1438 983 605 227 0 0 0 0 0 0 0 0 0 0 0 0 0 0 378 756 1286 1740 2195 2573 2724 2649 2346 1816 1286 756 302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75 302 454 605 605 529 378 151 0 0 0 0 0 0 0 0 378 1059 2043 3481 5146 6357 6433 5146 3481 1967 832 75 0 0 0 0 0 0 1965 3478 5368 6880 7107 6049 4461 3024 2041 1285 756 378 151 0 0 0 0 0 0 0 0 75 151 75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 151 604 1361 2268 3553 4839 5444 4839 3629 2344 1361 680 226 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 226 907 1767 3866 7180 10826 12151 9610 5744 2761 773 0 0 0 0 0 0 0 0 0 0 0 0 0 0 220 662 883 883 552 220 0 0 0 0 0 0 0 0 331 552 773 883 662 441 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 110 552 1104 1988 3203 4639 5854 6186 5302 3756 2209 994 220 0 0 0 0 0 110 552 1104 1546 1878 1988 1878 1436 883 441 0 0 0 552 281 246 193 123 52 0 0 0 0 0 0 0 17 52 88 123 158 193 246 299 369 440 492 545 545 510 457 369 299 211 158 105 70 35 17 0 0 0 17 35 70 88 123 140 140 140 140 140 123 123 123 140 140 140 140 140 140 123 105 105 105 88 105 105 123 123 140 140 140 140 140 158 176 211 246 299 352 422 475 510 545 528 510 475 422 369 352 316 316 299 548 137 274 548 1234 1783 2194 2331 2057 1645 960 411 0 0 0 0 0 0 0 0 137 411 685 1097 1508 1920 2331 2880 3566 4252 5075 5760 6309 6583 6446 5898 5075 3977 3017 2057 1371 685 274 137 0 137 411 685 1097 1508 1783 1920 1920 1783 1645 1371 1234 1097 960 960 822 822 822 822 685 548 274 0 0 0 0 0 0 0 0 0 0 0 0 0 0 960 2057 3429 4526 5075 4663 3703 2331 1234 4970 2783 1590 1192 1391 2186 3379 4970 6361 7157 6958 5765 3976 2584 1391 795 596 795 1391 2385 3180 3578 2982 1590 198 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 198 596 1391 2584 4175 6361 8747 10934 11729 10934 8747 6361 4175 2385 1192 198 0 0 0 0 0 0 0 0 198 994 1590 1391 397 0 0 0 0 0 0 0 0 0 0 0 0 0 1192 3976 7157 9741 9741 7554 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 243 304 365 426 426 609 914 1402 2133 2926 3352 2987 2011 1036 243 0 0 0 0 121 670 1402 2133 2621 2743 2377 1889 1463 1097 792 609 426 304 121 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 365 975 1645 2194 2194 1645 914 304 0 0 0 0 365 1158 2194 2987 2865 1889 853 60 0 0 0 0 0 0 0 0 0 0 0 792 2376 3960 4950 5346 4950 4158 2772 1584 594 198 198 792 2178 4752 8316 12079 13069 10098 5742 2574 594 0 0 0 594 1584 2574 3762 4752 5346 5742 5940 5940 5544 5148 4554 3762 2970 2178 1386 792 198 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1386 2772 3168 2376 990 0 0 0 0 0 1782 4950 8514 9504 6336 2178 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1211 5146 10596 17257 22101 20587 14532 7871 3330 302 0 0 0 0 0 0 0 0 0 0 0 0 0 605 1513 2724 4844 7266 10899 15138 19073 21798 21798 19073 15440 11504 8174 5449 3330 1816 302 0 0 0 0 0 0 0 0 0 0 0 0 605 2422 4541 6055 6357 5146 3027 908 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3389 4785 4985 3589 1595 0 0 0 0 0 0 598 3389 7577 12163 15155 14357 10768 7178 4386 2791 1994 1794 1794 1794 1595 997 199 0 0 0 0 0 0 0 0 0 0 0 0 598 1196 1794 1994 1794 1395 1196 797 797 598 598 598 598 398 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 199 1196 2791 4985 7976 10967 12363 11565 9372 6580 4187 2392 997 199 0 0 0 0 199 1595 0 0 303 688 1093 1255 1053 688 344 101 0 0 0 0 0 0 20 81 121 141 162 202 222 263 283 303 283 243 202 141 101 81 60 81 121 202 303 445 587 688 688 607 445 303 162 81 60 60 101 162 243 344 405 425 425 364 303 263 222 202 202 202 222 222 202 182 121 81 20 0 0 0 0 0 0 0 0 0 0 60 162 283 405 445 384 243 60 0 0 0 0 0 0 0 0 404 1617 3235 5257 8492 12536 17794 21838 22242 18198 12536 7279 2830 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1617 2426 2830 2426 1213 0 0 0 0 0 0 0 0 0 0 0 0 0 2022 4852 7683 9301 8897 6470 3639 1213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 404 2830 6470 11728 18603 26286 31544 31948 27500 21433 15367 10514 6470 3235 808 0 0 23270 17360 10711 5540 2955 1477 1108 1108 1108 1477 1477 1477 1846 2216 2585 3693 4801 6648 8126 9603 10711 11081 9973 8126 5910 3324 1108 0 0 0 0 0 0 0 0 738 1846 2955 4063 4432 5171 5540 5540 5910 5540 4801 3693 1846 369 0 0 0 0 0 0 0 0 0 0 0 0 0 738 1108 1846 2585 3324 4432 5540 7387 9603 12189 14036 14405 12928 9973 5910 1846 0 0 0 0 0 0 0 0 1477 8126 16622 23270 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2918 7295 13424 20719 26264 26264 20136 12548 6420 2626 291 0 0 0 291 1167 1459 1750 1167 291 0 0 0 0 0 0 291 1459 3210 5544 7879 10213 11089 10505 8462 6128 3501 1750 291 0 0 0 0 0 0 0 0 0 0 0 291 875 1750 2918 4085 5252 5836 5252 4377 2626 1167 0 0 0 0 0 0 0 0 0 0 0 583 1750 3210 4961 6420 6712 6420 5252 3793 2334 1167 0 0 0 0 0 1211 7874 17567 32711 52095 67240 66634 50278 32711 19384 12115 8480 6663 7269 7874 8480 9086 8480 6663 4846 3028 1817 605 0 0 0 0 0 0 0 1211 4846 9086 14538 18778 19384 15749 10298 5451 1211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1211 3028 3634 3634 1817 0 0 0 0 0 0 0 0 0 3634 9692 14538 15144 10903 4240 0 0 0 0 0 0 0 0 0 0 9647 15740 25896 35544 36051 25388 13202 4062 0 0 0 0 0 5077 12694 22342 29450 27927 19803 10663 4569 1523 507 507 2031 3554 4569 4569 3046 1015 0 0 0 0 0 0 2538 5585 8124 8124 6093 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2031 10663 19295 21834 16756 9139 3046 0 0 0 1015 5077 10155 13709 14217 11678 8632 7108 7871 8996 10120 11807 12931 12369 10682 7309 3373 562 0 0 0 0 0 1124 3935 6747 10120 14618 19678 23614 25301 24176 20241 15180 10682 6747 3935 1686 562 0 0 0 0 562 1686 3373 5060 7309 8996 10120 11245 11807 11807 11807 10682 9558 8433 6747 5060 3373 2249 562 0 0 0 0 0 0 1124 2249 3935 5622 7871 10120 12369 13494 13494 12369 10120 7871 6184 4498 3373 2249 1124 562 0 0 0 0 0 1124 3373 5060 6747 7309 7309 7309 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 53 17 0 0 0 0 44 152 233 206 89 0 0 0 0 0 98 251 350 269 125 17 0 0 0 35 143 341 539 521 305 125 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 71 116 143 134 98 44 0 0 0 0 0 0 8 143 359 467 296 80 0 0 0 0 0 0 0 188 539 854 773 449 179 26 0 0 0 34567 22222 6419 0 0 0 0 0 0 8395 19753 26172 20740 10370 2469 0 0 0 0 0 0 0 0 0 0 0 0 493 3950 8888 13827 17777 17777 13333 7407 2962 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 987 5925 12345 18765 19259 13333 6419 1481 0 0 0 0 0 0 0 0 2469 4938 4938 3950 1975 493 493 1975 5432 10864 17777 23209 22222 15802 7901 2469 0 493 5432 15308 28642 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9437 12583 9044 2359 0 0 0 0 0 0 2752 14155 33030 49545 39321 17694 4325 0 0 0 0 0 0 0 0 0 0 0 0 0 786 3145 5111 5898 5111 3538 1572 0 0 0 0 0 393 786 1179 1179 786 786 786 1572 3538 7077 13369 21627 26345 21233 12189 4718 393 0 0 0 0 0 0 2359 7864 12583 12189 7864 3538 393 0 0 0 0 0 0 0 0 0 1179 1572 1179 0 0 0 0 0 3932 61755 54141 33838 11843 0 0 0 0 0 0 5921 16919 23686 23686 16919 9305 2537 0 0 0 0 0 0 0 0 845 7613 14381 17765 18611 16073 12689 10151 7613 5075 3383 2537 1691 845 845 845 845 0 0 0 0 0 0 0 0 0 2537 6767 10997 13535 11843 7613 2537 0 0 0 0 0 0 0 0 0 2537 6767 12689 21149 31300 37222 33838 21995 10997 2537 0 0 0 0 0 5075 12689 19457 24532 29608 35530 44836 55833 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7272 16564 25048 25856 19392 10908 4444 1212 0 0 404 1616 2828 4040 4848 4848 4040 3232 2424 1616 1616 2020 2828 4040 4040 2828 808 0 0 0 0 0 0 0 0 0 1212 4444 9292 14140 17776 18584 16160 12524 8080 4444 1616 0 0 0 0 0 0 0 0 0 0 2020 4040 4848 4848 4444 4444 4444 4848 5252 4848 4040 2828 808 0 0 0 0 0 0 2020 8080 16968 23432 21008 11312 2424 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 172 2069 4311 5949 6381 5605 4311 2845 1465 344 0 0 0 0 0 0 0 0 0 0 0 172 1034 1897 2155 1638 862 258 0 0 0 0 0 0 0 86 258 517 1034 1638 2155 1983 1207 431 0 0 0 0 0 0 0 0 0 0 86 0 0 0 0 0 0 0 258 1207 2673 3621 3018 1465 172 0 0 0 0 86 1552 4225 6898 6294 3276 862 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3658 17165 33767 27295 10974 1969 0 0 0 0 2813 11255 23637 29265 21948 13788 9286 6753 3939 844 0 0 0 0 0 0 0 281 1688 1688 281 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1125 3095 4502 4220 1969 0 0 0 0 0 0 0 0 1406 4502 6753 6472 4783 3376 2532 2532 1969 562 0 0 0 0 0 0 0 844 3376 3939 1969 0 0 0 0 0 0 0 0 0 5938 4453 5938 10392 14104 14104 9650 2969 0 0 0 0 742 5938 8907 9650 8165 5938 5196 5938 8165 11134 14104 15588 16331 15588 13361 10392 6680 3711 2226 742 742 2226 4453 7423 10392 11877 11134 8907 5196 2226 0 0 0 0 0 0 1484 4453 7423 8907 9650 8907 7423 5938 4453 4453 5196 8165 11134 15588 17815 17815 15588 11134 6680 2969 0 0 0 0 0 2226 10392 23011 34889 37858 28208 14846 3711 0 0 0 7423 17815 26723 28208 21527 12619 0 0 0 0 0 11225 22450 28495 29358 26768 20723 13815 8634 5180 5180 6044 8634 12088 15542 17269 15542 11225 6044 3453 1726 3453 6044 8634 9498 6044 863 0 0 0 0 0 0 0 0 3453 7771 8634 6044 3453 2590 2590 4317 6044 5180 863 0 0 0 0 0 0 0 0 2590 10361 12952 8634 1726 0 0 0 0 0 0 0 863 7771 17269 25041 31085 32812 30222 26768 23314 21587 21587 21587 22450 24177 29358 40584 48355 37130 11225 0 35027 91738 111754 73390 35027 21683 28355 51707 76726 75058 46703 21683 10007 10007 15011 16679 10007 0 0 0 0 0 1667 0 0 0 0 0 0 5003 21683 36695 36695 21683 6671 0 0 0 0 0 0 1667 10007 15011 10007 1667 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1667 18347 41699 56711 51707 38363 33359 38363 51707 51707 31691 3335 0 0 0 0 0 23351 83398 121762 86734 31691 0 0 0 117575 139759 137541 93173 39931 2218 0 0 0 0 0 0 0 0 2218 6655 4436 2218 6655 22184 46586 55460 33276 2218 0 0 0 0 0 0 11092 35494 51023 37712 13310 0 0 0 0 0 0 0 0 0 0 4436 11092 19965 28839 35494 35494 24402 11092 2218 0 0 0 0 8873 24402 44368 55460 51023 42149 37712 44368 62115 88736 93173 57678 15528 0 0 0 0 0 31057 79862 115357 90954 39931 0 0 0 0 0 6655 37712 66552 90954 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8501 15868 17569 11051 4250 0 0 0 0 0 0 0 0 0 0 0 0 0 0 283 850 850 283 0 0 0 0 0 0 283 2550 6234 11901 15302 11618 5667 1983 0 0 0 0 0 0 566 850 283 0 0 850 1983 4250 6800 7367 5100 2266 283 0 0 0 0 0 1416 4250 8501 13035 16152 16435 14452 11618 8217 4817 1700 0 0 0 0 283 3967 8501 10201 7651 3117 0 0 0 0 0 0 0 2266 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 42831 183006 101237 0 0 0 0 0 42831 120706 116812 38937 0 0 0 0 0 0 0 0 0 27256 42831 42831 42831 46725 58406 77875 89556 77875 54512 35043 23362 23362 23362 15575 3893 0 0 0 0 0 0 0 3893 7787 7787 11681 19468 27256 27256 15575 0 0 0 0 0 0 11681 42831 58406 38937 7787 0 0 0 0 0 0 0 0 7787 46725 124600 221944 264775 249200 218050 179112 128494 81768 77875 159644 288138 225838 7787 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0