% 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 165 degrees 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 161 345 599 921 1290 1635 1866 1866 1658 1336 990 691 460 276 138 46 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 69 230 437 645 852 1036 1128 1082 967 783 599 414 276 161 69 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2667 2575 2391 2207 2023 1747 1471 1195 1011 735 551 367 183 91 0 0 0 0 0 0 0 91 183 367 551 643 827 1103 1287 1471 1747 1931 2115 2391 2575 2667 2851 2943 2943 2943 2851 2667 2483 2299 2023 1747 1379 1103 735 459 183 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 183 367 643 919 1103 1379 1655 1931 2115 2391 2483 2667 2759 2759 1233 863 616 369 123 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 246 493 863 1233 1603 1973 2220 2589 2959 3206 3453 3700 3823 3823 3823 3700 3576 3453 3206 2836 2589 2220 1850 1479 1233 863 616 246 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 246 616 986 1356 1603 1973 2343 2713 2959 3206 3453 3576 3700 3576 3576 3453 3206 2959 2713 2466 2096 1850 1479 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 43 87 87 130 130 174 174 174 174 218 218 218 218 218 218 218 218 218 261 261 305 305 348 392 479 523 610 741 828 959 1090 1264 1395 1569 1700 1831 1918 2005 2005 2005 1962 1874 1787 1656 1526 1351 1220 1090 959 828 697 610 523 436 348 261 218 130 87 43 0 0 0 679 453 302 151 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 226 453 679 906 1208 1510 1737 2039 2341 2568 2719 2870 2946 2946 2946 2794 2568 2341 2115 1812 1586 1284 1057 755 528 302 75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 151 377 604 830 1057 1208 1435 1661 1812 1888 1964 2039 2039 1964 1888 1737 1586 1435 1208 1057 830 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 621 2485 4348 6833 9940 13046 16773 21122 26092 30441 34790 38517 41623 42866 42866 41623 38517 35411 31062 27335 22986 19258 16152 13046 10561 8076 6212 4348 3106 1863 621 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 621 621 1242 1242 1242 1242 621 621 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 832 1664 2496 3745 4993 6658 8323 10404 12484 14565 16646 18727 20391 22056 23304 23721 23721 23304 22056 20808 19143 17478 15814 13733 12068 10404 9155 7907 6658 5410 4577 3745 2913 2080 1664 1248 832 416 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 55323 50554 44831 40061 34338 29569 24800 20984 17169 13353 10492 7630 5723 3815 2861 1907 953 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2861 5723 9538 14307 19077 24800 30523 36246 42923 48646 54369 58185 61046 62000 61046 59139 12941 12941 11323 11323 9705 9705 8088 8088 6470 6470 4852 3235 1617 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1617 6470 12941 17794 25882 32353 40441 48529 55000 63088 69559 72794 76029 77647 77647 76029 72794 67941 64706 59853 55000 50147 45294 40441 37206 33970 30735 27500 25882 22647 21029 19411 17794 17794 16176 14558 14558 20549 33625 54175 78460 113954 156921 205491 242854 250326 220436 171865 123295 82196 52307 29889 13076 1868 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3736 11208 106851 101994 92280 82566 67996 53425 33998 19427 4856 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14570 33998 53425 77709 106851 131135 160276 184561 199131 213702 213702 213702 203988 189417 174847 160276 145706 131135 116564 106851 97137 87423 82566 77709 72853 72853 72853 72853 77709 82566 87423 92280 97137 101994 101994 106851 106851 295449 484982 746985 986689 981114 730261 468259 278725 156086 78043 33447 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16723 50170 100341 172809 606657 713714 708616 596461 438424 295681 188624 107057 50979 15293 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5097 5097 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10195 30587 56077 96861 152938 224310 331367 463914 68933 76004 83074 90144 95446 98981 100749 98981 93679 86609 77771 67166 56561 45955 35350 24745 15907 8837 1767 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5302 8837 12372 15907 17675 17675 17675 17675 15907 12372 10605 8837 7070 5302 3535 3535 1767 1767 1767 1767 3535 5302 7070 8837 10605 14140 17675 22977 28280 33583 38885 45955 53026 60096 76032 99072 124416 149760 177408 198144 211967 209664 195840 172800 145152 115200 89856 66816 46080 32256 18432 9216 2304 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4608 11520 18432 29952 41472 57600 0 0 25755 51511 87570 128779 169989 216350 262710 303920 329676 334827 329676 303920 267862 231803 190594 154535 123628 97872 77267 56663 46360 30907 25755 15453 15453 10302 10302 10302 10302 15453 15453 20604 30907 36058 41209 51511 56663 66965 72116 77267 82419 82419 87570 82419 82419 77267 66965 56663 46360 36058 25755 10302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11140 11140 13925 16710 19495 25065 27850 36205 41775 52916 64056 77981 94691 114187 139252 164318 192168 217234 231159 236729 225589 200523 167103 133682 100261 69626 44560 25065 8355 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2785 2785 5570 5570 8355 31285 38086 47608 57130 68012 80254 91136 100658 107459 108819 104739 95217 82975 70732 57130 44888 34006 25844 17683 12242 6801 2720 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2720 6801 9521 13602 19043 24484 180611 192263 198089 195176 189350 174785 157306 139828 119436 101958 84479 67000 55348 43696 34957 26217 20391 14565 8739 5826 5826 2913 2913 0 0 0 2913 2913 2913 2913 5826 5826 5826 5826 8739 8739 8739 5826 5826 5826 2913 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5826 14565 23304 34957 49522 67000 84479 101958 122349 145654 163132 147770 169114 177324 167472 144486 114932 85378 59108 37763 22986 9851 1641 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3283 6567 11493 18060 24628 34479 45972 59108 77168 98513 123141 240716 271186 289468 286421 262045 228527 185869 146257 109693 79223 54846 36564 18282 6094 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3047 9141 18282 27423 39611 57893 76176 100552 131022 164540 204151 31379 27330 23281 19232 16196 13159 10122 8098 7085 5061 4049 3036 3036 2024 2024 2024 2024 2024 2024 2024 1012 1012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2024 5061 8098 12147 15183 19232 24294 28343 33404 37453 42514 46563 50612 53649 55673 56686 56686 54661 52637 48588 44539 40490 35428 58246 61886 61886 60673 55819 49752 43684 36404 29123 23055 16988 12134 7280 3640 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3640 8494 12134 16988 21842 26696 30336 33977 36404 36404 36404 33977 30336 26696 23055 18202 14561 10921 7280 4853 2426 0 0 0 0 0 0 0 0 0 0 0 2426 6067 9707 14561 20628 26696 33977 40044 47325 53392 59820 74775 88662 98276 101481 98276 88662 76911 64093 52342 40592 32046 24569 18159 12818 8545 5341 2136 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1068 6409 12818 22432 33114 45933 203758 267089 324912 349694 333173 280856 217526 159702 112893 74344 46809 27534 11013 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13767 33041 60576 96372 143181 180901 143213 105525 72863 47737 27637 10050 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7537 12562 22612 35175 50250 67838 90450 118088 150751 185926 218589 243714 253764 246227 218589 127815 112003 90920 69837 50072 34259 21083 11859 3953 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2635 5270 9223 13176 19765 27671 36895 48754 64566 81696 100144 118592 131769 135722 153612 145734 133918 116194 96500 76806 59081 43326 29540 17724 9846 1969 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1969 3938 5908 9846 13785 17724 23632 31510 39387 49234 61051 74836 88622 106347 122102 135887 147704 153612 112006 120269 112006 91809 68856 47740 31215 18361 9180 1836 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 918 918 1836 1836 918 918 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1836 7344 13771 22952 34887 51413 71611 93645 214459 173283 130391 94362 66911 46323 32597 20588 13725 8578 5147 3431 1715 0 0 0 0 1715 1715 1715 1715 1715 1715 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 17156 39460 73774 121812 176714 223037 238478 56672 82335 110136 134730 143284 131522 107998 81266 57741 38494 25662 14970 7485 2138 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3207 11762 22455 37425 45505 41865 38224 34584 29123 23662 18202 14561 9101 3640 0 0 0 0 0 0 0 0 0 1820 5460 12741 20022 29123 40044 52786 65527 78269 87370 92831 92831 85550 74629 60067 43685 29123 18202 7280 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1820 3640 5460 7280 9101 9101 10921 10921 10921 10921 12741 12741 14561 16381 18202 20022 23662 27303 30943 34584 38224 41865 45505 47325 49145 49145 49145 47325 28120 21213 14800 9866 5426 2466 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 493 493 986 986 986 986 493 493 493 0 0 0 0 0 0 0 0 493 493 986 1973 2959 3946 5426 7400 10359 13320 17266 22200 28120 34040 40453 44893 47359 45880 41933 35026 54529 52902 49646 45577 40693 36624 31741 27671 24416 21160 17905 15463 13022 11394 9766 8138 6511 5697 4069 3255 2441 1627 813 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2441 6511 11394 17091 23602 30113 36624 43135 48832 52902 54529 13453 12332 11771 11771 11771 12332 12893 14014 15695 17377 19059 20180 20741 20741 20180 17938 15695 12332 8969 6166 3363 1121 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1681 3923 7287 10650 14014 17377 20741 22983 24104 24665 23543 21862 20180 17938 16256 14574 17853 18993 20133 20892 21272 20892 19753 18233 15954 13295 10636 8357 6077 4178 2279 1139 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 759 1899 2659 3798 5318 6457 7977 9116 10256 11016 12155 12915 13675 14435 15194 15954 16714 13651 12438 11527 10921 10011 9101 7584 6370 4550 3033 1516 303 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1820 5157 9404 15168 21235 26089 28213 26999 23965 20628 17595 15471 57219 56352 53751 50283 44215 38146 31210 25141 18206 13004 7802 3467 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 866 4334 7802 12137 17339 22540 27742 32077 37279 41614 45948 50283 52884 55485 57219 3979 2574 1170 234 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 468 936 1638 2106 2574 3043 3277 3511 3745 3979 4213 4213 4213 3979 3745 3511 2809 2340 1638 936 234 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 234 1638 3511 6320 9597 13343 17088 19897 21068 19897 17322 14045 11002 8193 5852 7317 6504 5691 4878 5691 5691 6504 7317 8130 8130 8943 8943 8130 7317 5691 4065 2439 813 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 813 1626 1626 1626 1626 1626 813 813 813 813 1626 2439 3252 5691 8130 11382 16261 21139 28457 36587 44718 52849 59353 62605 61792 57727 50409 42279 34148 27644 21139 16261 12195 9756 14662 13398 11882 10112 8595 7331 5814 4803 3539 2528 1769 758 252 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1011 2022 3033 4297 5561 7078 8848 10618 12134 13904 15421 16432 16938 17191 16685 15927 11416 11070 10724 9686 8649 7611 6227 4843 3459 2075 1037 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 691 1729 2767 4151 5881 7611 9340 11070 12800 14530 15568 16260 16606 16606 15914 15222 14530 13838 13146 12800 12454 12108 11762 11762 25477 21119 17096 13744 10727 8380 6369 5028 3687 2681 2011 1340 1005 670 335 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1676 4022 7374 11397 16426 21789 27153 31175 32852 32181 29164 553 651 748 944 1171 1464 1757 2050 2181 2116 1888 1497 1074 716 423 195 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 130 292 520 781 1009 1237 1334 1334 1269 1106 944 781 683 585 520 520 16263 14292 12813 11828 10842 9856 8871 8378 7885 6899 6406 5914 4928 4435 3942 2957 2464 1971 1478 985 985 492 492 492 985 985 1478 1971 2464 2957 2957 3449 3942 3942 3449 3449 2957 1971 1478 492 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 985 3449 6406 9856 13799 18235 22670 26120 29077 30063 30063 28584 26120 23656 20699 18235 1268 1427 1744 2220 2696 3489 4123 4916 5392 5551 5392 4758 3806 2854 1903 1110 475 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 793 2220 3965 6344 9198 11895 13481 13322 11736 9357 7137 5233 3647 2696 1903 1427 1268 0 0 0 0 0 0 0 0 0 368 614 860 983 983 860 737 368 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 122 491 860 1475 1967 2582 3074 3320 3320 2951 2336 1598 860 122 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 983 2459 4672 7746 11189 14017 14509 12542 9345 6394 4180 2459 1352 491 0 0 0 26 23 19 16 13 10 8 6 4 2 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 12 16 20 25 28 31 31 29 8783 7269 5603 4240 3028 1968 1211 605 302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 302 1060 1817 2574 3331 3786 3937 3937 3331 2725 1817 1060 302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 302 605 908 1211 1514 1817 2271 2725 3331 4088 4997 6209 7572 8935 9995 10752 10903 10146 4059 5535 7011 8118 8118 7011 5166 2952 1107 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 369 2952 7011 12177 18450 25461 32103 36531 37269 34686 29889 24354 18819 13653 9594 6273 3690 1845 369 0 0 0 0 0 0 0 0 369 1107 2583 1298 1350 1350 1298 1194 986 779 571 363 155 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 103 259 363 519 675 831 934 1038 1090 1090 1090 986 883 779 675 571 467 363 311 259 259 259 311 363 467 623 779 934 1090 1246 1350 1402 1402 1350 1298 1194 1090 986 934 831 727 675 571 519 467 415 363 363 363 415 415 519 571 675 779 934 1038 1194 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 937 937 1041 1145 1458 1770 2187 2707 3228 3749 4269 4478 4478 4165 3645 2916 2291 1666 1041 624 312 0 0 0 0 0 0 0 104 312 520 833 1041 1145 1145 1041 833 520 208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 520 1249 2187 3228 4269 4998 5415 5207 4686 3957 3228 2499 1978 1562 1249 1041 0 0 0 0 0 0 1437 3833 7666 12457 18686 27310 37372 47433 54141 54141 47913 37851 27789 19165 12457 7666 4312 1437 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 479 479 958 1437 1916 2874 3833 4791 5749 6228 6707 6707 5749 4791 2874 958 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15143 12532 9747 7136 4873 3307 2088 1218 696 348 174 0 0 174 348 696 870 1218 1392 1566 1566 1566 1566 1218 1044 696 348 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 174 870 1392 2088 2785 3133 3307 3133 2785 2262 1740 1218 696 174 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 522 1566 3307 5396 8007 11140 14099 16188 16710 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 395 216 72 0 0 0 0 0 0 0 0 0 0 0 0 72 216 360 504 720 936 1152 1332 1512 1620 1655 1620 1476 1296 1080 864 612 432 252 108 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 108 216 395 648 936 1260 1620 1944 2124 2124 1908 1548 1188 864 612 1142 986 727 519 259 51 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 51 103 103 155 207 207 311 363 467 623 779 986 1194 1402 1610 1766 1869 1766 1610 1350 986 675 363 103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 259 519 779 1090 1402 1714 1973 2181 2181 2129 1921 1662 1350 1038 779 571 415 363 311 363 467 571 727 883 1038 1142 1194 2195 2043 1892 1740 1513 1211 983 681 454 227 75 0 0 0 0 0 0 151 378 605 908 1211 1589 1967 2270 2497 2573 2497 2270 2043 1665 1362 983 756 454 227 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75 302 605 908 1211 1438 1589 1589 1513 1286 1059 832 605 454 302 227 227 302 454 681 908 1135 1438 1740 1967 2119 2195 2270 2270 2270 2270 0 0 0 0 0 0 487 1219 1706 2194 2438 2438 2438 2438 2194 1950 1950 1706 1463 1219 1219 975 975 975 1219 1463 1706 2194 2682 3413 4145 4876 5608 5852 5852 5120 4145 2926 1706 487 0 0 0 0 0 0 0 0 0 0 0 0 731 1950 2926 3901 4389 4633 4633 4145 3657 2926 2438 2194 1950 1950 2194 2438 2926 3657 4633 5608 6827 7803 9022 9753 10485 10485 10241 9266 7803 6096 4389 2682 1219 0 0 0 0 0 2101 2263 2182 1940 1535 1212 808 565 323 80 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 80 485 970 1535 2182 2748 3233 3314 2991 2425 1697 1050 485 0 0 0 0 0 0 0 0 0 0 80 485 1050 1697 2344 2991 3637 4203 4526 4607 4365 3799 2991 2101 1293 646 80 0 0 0 0 0 0 0 0 0 242 727 1212 1697 5698 8903 12108 13889 14245 12821 10684 7835 5342 3205 1424 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1068 2849 4985 7478 9615 11396 11396 9971 7478 4629 2136 356 0 0 0 0 0 0 0 0 0 1780 3917 6054 8547 10684 11752 12464 12108 11752 11040 10328 9971 9971 9971 9971 9971 9615 8547 6766 4985 2849 1068 0 0 0 0 0 0 0 0 0 712 2849 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 225 225 225 451 902 1354 2031 2482 3159 3385 3610 3385 2933 2482 1579 902 225 0 0 0 0 0 0 0 0 0 451 1579 2933 4964 6995 9478 11735 13314 13766 12863 11058 8801 6544 4739 3159 2031 1128 451 225 0 0 0 0 0 0 0 0 0 0 0 225 451 677 902 902 677 451 0 0 0 0 0 0 0 0 451 1354 2708 3836 5190 6093 6770 6995 6995 6544 6093 5416 4513 3610 2933 2256 1579 902 677 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 121 202 282 343 424 464 485 464 404 323 242 141 60 0 0 0 0 0 0 0 0 0 0 20 80 141 202 262 323 363 404 404 404 383 363 343 323 303 282 282 282 282 303 303 303 303 282 242 202 141 80 20 0 0 0 0 0 0 0 0 80 222 383 606 828 1010 1111 1091 970 808 606 424 262 141 40 0 0 0 0 0 0 0 1548 1216 1105 995 884 884 884 774 663 552 442 221 0 0 0 0 0 0 0 0 0 331 884 1658 2432 3317 4091 4533 4644 4312 3759 3096 2432 1879 1437 995 552 221 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 221 442 774 995 995 884 442 0 0 0 0 0 0 0 0 0 442 1326 2432 3649 4865 5971 6524 6524 5971 5086 4202 3206 2543 1990 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 348 580 812 1044 1276 1508 1624 1624 1624 1740 1740 1740 1740 1740 1624 1624 1508 1276 1044 812 696 464 348 232 116 0 0 0 0 0 0 0 0 0 0 232 580 1044 1624 2321 3017 3365 3365 3017 2321 1624 812 116 0 0 0 0 0 0 0 0 0 0 0 348 580 812 1044 1392 1740 2205 2669 3365 4062 4758 5338 5919 6035 5919 5338 4410 3365 2437 1508 812 232 12990 10038 5904 1771 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1771 2952 4723 5904 6495 7085 7676 7676 8266 8266 8266 8266 8857 8857 9447 10038 11219 12400 13581 14762 15352 14171 10628 6495 1771 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1771 5904 10628 14762 17124 18305 17714 15943 15352 14762 15352 16533 17714 18895 18895 18305 15943 12990 10038 7085 5314 4133 4133 5314 7085 9447 11809 13581 0 0 0 0 0 0 0 0 1816 3633 5903 8628 11353 14078 16349 16803 15895 13170 9991 6358 3633 908 0 0 0 0 0 0 0 454 2270 4995 8174 11807 14532 15895 15440 13170 10445 7266 4541 2270 454 0 0 0 0 0 0 0 454 1816 3179 4995 6358 7266 7720 6812 5449 3179 454 0 0 0 0 0 0 0 0 0 2270 7266 13624 19528 23615 24523 22707 18619 14078 9537 5903 3179 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1012 3037 5568 7593 8606 7593 5568 2531 506 0 0 0 0 0 0 0 0 0 0 4050 8100 11137 11643 9112 5062 1012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1518 5568 12150 22274 36956 58218 78975 81000 59231 34425 17212 6581 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 131 591 1051 1577 2037 2432 2629 2563 2366 1972 1512 1051 657 262 0 0 0 0 0 0 0 0 0 0 0 131 328 460 591 723 854 986 1117 1183 1249 1183 1051 854 525 262 0 0 0 0 0 0 197 525 920 1117 1249 1183 1051 854 657 460 394 328 262 197 131 0 0 0 0 0 0 0 65 460 986 1446 1972 2366 2629 2761 2695 2498 2169 1709 1183 657 131 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 432 1036 1728 2419 2764 2678 2160 1468 777 259 0 0 0 0 0 0 0 0 0 0 345 1382 2592 3801 4320 4147 3456 2592 1900 1382 1036 691 432 172 0 0 0 0 0 0 0 0 0 0 0 0 259 1036 2160 3801 5961 7949 8294 6480 3974 1987 604 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8903 26710 59781 110659 139914 100483 50877 20351 3815 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1271 1271 1271 1271 1271 2543 5087 8903 13991 21623 31798 47062 67413 94124 117019 122106 99211 63597 30526 8903 0 0 0 0 0 0 0 0 0 0 0 0 0 1271 3815 5087 2543 0 0 0 0 0 0 1451 1244 1036 1244 1244 1451 1451 1451 1451 1244 1036 622 414 207 0 0 0 0 0 0 207 829 1658 2695 3939 5184 5806 5806 4976 3732 2488 1451 414 0 0 0 0 0 0 0 0 0 622 1244 1866 2488 3317 3939 4769 5184 5391 5184 4561 3939 3317 2903 2280 2073 2073 2280 2695 3525 4354 5391 6220 6428 6220 4976 3525 2073 414 0 0 0 0 0 0 0 0 207 1866 3732 5598 7050 7879 7257 6013 4561 3110 2073 544 1088 1994 2720 3626 4533 5258 5621 5621 5258 4533 3808 3082 2357 1813 1269 906 544 362 181 181 181 362 362 544 544 544 362 362 544 725 1269 1994 3082 4352 5802 7072 7435 6891 5802 4352 3264 2357 1813 1632 1632 1813 2176 2176 1813 1269 544 0 0 0 0 0 0 0 0 544 1813 3082 3989 4352 3808 2538 1269 0 0 0 0 544 1994 3808 5440 6347 5984 4533 2720 1088 0 0 0 0 0 0 0 0 0 0 0 810 3242 3242 2431 810 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2431 4863 7295 8916 9727 8106 5674 3242 810 0 0 0 0 0 810 1621 2431 2431 2431 3242 4863 8106 14591 23508 34857 48637 59986 64039 59986 51880 42963 34857 29182 25129 21076 16212 9727 2431 0 0 0 0 0 0 0 0 0 0 5674 25129 47827 54312 36478 15401 810 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 52 260 468 729 1146 1771 2552 3230 3334 2709 1875 1146 625 312 104 0 0 0 0 52 156 260 364 468 416 364 312 208 156 156 208 364 521 833 1250 1771 2292 2605 2552 2136 1510 885 312 0 0 0 0 0 0 0 0 0 0 0 364 781 833 521 0 0 0 0 0 0 0 0 0 0 0 0 0 312 1198 2084 2344 1771 937 208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 882 3528 4410 5292 5292 4410 2646 882 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 882 6174 6174 2646 0 0 0 0 0 0 0 0 0 5292 30873 74095 101440 80270 47632 25580 11467 2646 0 0 0 0 0 0 8820 26462 52043 74095 72331 52043 31755 17641 10585 8820 9702 12349 14995 14995 10585 5292 0 0 0 0 3528 9702 12349 9702 1764 0 0 621 2485 4970 8076 11803 14910 16773 16152 14288 10561 6833 3106 621 0 0 0 0 0 0 2485 5591 8697 12425 15531 17395 17395 16773 14910 13046 11803 10561 9318 8697 8076 8076 8697 9318 10561 13046 15531 18016 19258 19258 17395 14288 10561 6833 4348 1863 621 0 0 0 0 0 0 621 3727 6833 9318 9318 7455 4970 2485 1242 621 1242 1863 3727 4970 4970 4970 4348 3106 1863 621 0 621 1242 3727 6833 10561 13046 13667 12425 9318 5591 2485 621 0 0 0 0 729 3648 8027 15324 26270 37945 42324 35756 24081 14594 8756 5108 2918 1459 0 0 0 0 0 0 0 0 0 0 0 0 0 729 4378 11675 24081 37216 40135 27000 13135 4378 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7297 19702 36486 49621 51081 39405 24081 10216 729 0 0 0 0 0 0 0 0 0 0 0 4378 18972 32108 29918 14594 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 982 0 0 0 0 0 0 0 0 98 491 687 687 589 392 98 0 0 0 0 0 0 294 589 785 883 785 687 392 196 0 0 0 0 0 0 98 392 687 982 1080 1080 883 785 589 491 196 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 98 1276 2651 4026 5303 6481 7365 7561 6481 4615 2651 1178 196 0 0 0 491 1571 3142 5204 7070 7070 5008 2651 4679 7799 10919 14039 16379 17159 15599 12479 8579 4679 2339 779 0 0 779 1559 3119 4679 6239 7799 9359 10919 11699 11699 11699 10139 8579 6239 3899 2339 1559 1559 2339 3899 6239 9359 12479 14819 16379 16379 14819 13259 11699 10139 10139 10919 11699 12479 12479 11699 9359 7019 4679 3119 3899 6239 10919 17159 24959 31198 33538 31198 24959 17159 8579 1559 0 0 0 0 0 0 3899 12479 19499 23399 21059 15599 8579 2339 0 0 0 0 0 0 0 779 1559 3119 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 94446 50174 17708 2951 0 0 2951 11805 26562 35417 41320 38368 29514 17708 8854 2951 0 0 0 0 5902 11805 20660 26562 29514 26562 20660 11805 5902 0 0 0 5902 17708 38368 70834 106251 123960 112154 79688 47223 26562 11805 5902 2951 0 0 0 0 0 0 0 0 8854 47223 91494 123960 115106 79688 38368 5902 0 0 0 0 0 0 0 0 0 0 0 29514 73786 118057 147572 144620 112154 73786 38368 14757 0 0 0 5902 29514 64931 112154 144620 138717 0 0 4637 32463 69564 111302 139128 143765 115940 83476 55651 32463 18550 9275 4637 9275 13912 27825 46376 69564 83476 78839 55651 27825 4637 0 0 0 0 0 0 0 0 13912 27825 32463 27825 18550 4637 0 0 0 0 0 0 0 0 27825 55651 69564 51013 23188 0 0 0 13912 60288 143765 268981 384921 408109 310719 176229 74201 13912 0 0 0 0 0 0 0 0 0 4637 106665 245793 347820 292169 153041 41738 0 0 0 0 0 0 0 0 0 202251 172654 118391 69061 34530 9865 0 0 0 0 4932 9865 24664 34530 44396 54262 59195 59195 59195 54262 49329 49329 44396 44396 44396 44396 44396 44396 44396 39463 34530 29597 19731 19731 19731 24664 29597 34530 44396 49329 54262 64128 69061 69061 64128 54262 34530 19731 14798 19731 39463 78927 128257 152922 138123 93726 44396 9865 0 0 24664 54262 88793 108525 108525 98659 83860 69061 59195 59195 69061 83860 93726 93726 73994 34530 0 0 0 0 0 9865 34530 49329 64128 73994 93726 123324 162788 197318 0 4217 21089 42178 56940 59049 48505 33742 23198 14762 10544 8435 10544 12653 18980 25307 29524 33742 31633 25307 18980 14762 12653 12653 14762 14762 14762 10544 8435 4217 2108 2108 4217 6326 8435 8435 8435 10544 10544 12653 14762 14762 10544 6326 2108 2108 8435 25307 50614 71703 69594 46396 21089 4217 0 2108 16871 33742 44287 42178 33742 27415 31633 44287 61158 71703 63267 46396 31633 23198 21089 23198 27415 29524 33742 42178 54831 59049 54831 37960 21089 10544 8435 12653 16871 14762 6326 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5490 27454 60398 87852 115307 131779 131779 131779 131779 137270 148251 153742 148251 126288 93343 71380 54908 54908 60398 76871 82362 65889 32944 0 0 0 0 0 0 16472 60398 109816 115307 71380 21963 0 0 0 0 0 0 0 0 21963 65889 98834 109816 82362 38435 0 0 0 0 0 0 0 0 0 16472 27454 0 0 0 0 0 104325 296503 417301 312976 142761 27454 0 0 0 21963 87852 175705 258068 285522 219632 120797 32944 0 0 0 0 0 0 0 3007 0 0 0 6015 15039 18047 15039 12031 6015 3007 0 0 0 0 0 0 3007 15039 36095 60159 78207 78207 69183 57151 48127 42111 36095 27071 18047 6015 0 0 0 0 0 0 12031 30079 45119 45119 30079 12031 0 3007 24063 72191 150399 165439 87231 18047 0 0 0 0 33087 75199 81215 48127 6015 0 0 0 0 0 0 12031 48127 66175 45119 0 0 0 0 0 0 63167 228607 351935 213567 57151 0 0 0 0 6015 72191 123327 96255 39103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 505 1264 1769 2275 3033 4297 6067 7837 8089 6320 3792 1769 505 252 505 1264 3033 5309 6573 5056 2780 1264 252 0 0 0 0 0 0 0 252 758 1011 758 252 0 0 0 0 0 505 2022 3286 3792 3539 3286 3033 3033 2275 1011 0 0 0 0 0 505 2022 2022 252 0 0 0 0 0 0 0 1264 6067 14662 21741 17443 7078 0 0 0 758 7331 16685 21994 16938 8848 3539 1011 0 0 0 0 0 0 0 0 0 0 0 0 0 7628 15257 15257 7628 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7628 7628 7628 7628 0 0 0 0 0 0 0 0 0 7628 7628 0 0 0 0 0 0 0 0 76289 152578 183094 152578 106804 99175 129691 213609 366188 549282 663715 610313 442477 274641 152578 61031 0 0 0 0 0 0 0 167836 434848 579797 419590 167836 0 0 0 0 7628 152578 358559 488250 358559 144949 15257 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1456 2913 3641 2913 2913 2184 2913 2913 4369 5826 5826 4369 1456 0 0 0 0 0 0 0 0 0 0 1456 6554 11652 11652 5097 0 0 0 0 0 0 0 6554 13837 10924 2913 0 0 0 0 0 0 0 2184 7282 11652 14565 18206 22576 28402 36413 47337 58261 58990 44424 26217 12380 2913 0 0 0 0 0 0 0 14565 54620 48794 9467 0 0 0 0 0 5826 29130 38598 19663 2184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1448 2897 4346 5794 4346 4346 1448 0 0 0 0 0 0 0 0 0 4346 10140 17384 23179 21730 14487 4346 0 0 0 0 0 0 5794 15935 21730 14487 4346 0 0 0 0 10140 31871 52153 53602 39115 26076 21730 24628 31871 36217 31871 20281 10140 2897 1448 8692 27525 62294 121691 186883 182537 97063 18833 0 0 0 0 0 17384 34769 20281 0 0 0 0 0 0 18833 31871 28974 15935 1448 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2517 15105 35245 50351 37763 20140 5035 0 0 0 0 0 7552 27693 45316 35245 12587 0 0 0 0 0 32728 98184 135948 75526 22658 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47833 191334 279449 166159 35245 0 0 0 0 98184 314695 319730 100702 2517 0 0 0 22658 67974 90632 67974 35245 10070 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 414628 570113 414628 310971 362799 777427 1503026 2332283 1969483 1088398 570113 310971 207314 207314 259142 310971 362799 310971 207314 155485 51828 0 0 0 0 0 103657 259142 259142 103657 0 0 0 0 0 51828 518285 777427 414628 0 0 0 0 0 0 0 207314 1036570 2435940 2332283 881084 0 0 0 0 155485 0 0 0 0 0 0 1036570 2746911 5079194 7152334 5597479 1813998 0 0 0 0 0 1347541 1554855 466456 0 0 0 0 207314 881084 1140227 725599 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14811 37029 37029 29623 14811 7405 0 0 0 0 0 0 0 0 0 14811 29623 51840 81463 103681 111087 81463 37029 7405 0 0 0 14811 74058 177739 214768 118492 29623 0 0 0 14811 96275 162927 155521 103681 59246 22217 0 0 0 0 0 0 29623 29623 14811 0 0 0 0 0 0 0 0 29623 288826 673928 918319 747986 385101 111087 0 0 29623 192550 355478 340666 170333 22217 0 0 37029 177739 355478 355478 185145 59246 0 87271 0 0 0 43635 174542 261813 174542 43635 0 0 0 0 87271 174542 174542 130906 43635 0 0 0 0 43635 130906 174542 305448 392719 392719 305448 218177 174542 174542 305448 479990 610897 567262 392719 218177 130906 130906 218177 349084 479990 610897 698168 479990 130906 0 0 0 0 174542 479990 610897 610897 741804 1090888 1614514 2094505 2181776 1789057 1178159 610897 87271 0 0 0 0 1134524 2530861 3141758 2530861 1221795 43635 0 0 87271 1090888 1658150 1047252 218177 0 0 218177 785439 1221795 1352701 1265430 916346 479990 0 0 0 401448 903260 1103984 1003622 802897 802897 802897 903260 1103984 1204346 1204346 903260 501811 200724 0 0 0 0 0 0 0 100362 401448 802897 1103984 802897 200724 0 0 0 0 200724 802897 1204346 802897 100362 0 0 0 0 301086 1505433 3111229 3412316 1906882 401448 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1806520 8330065 13348177 8129341 1706158 0 0 0 2509056 8932239 9534412 3111229 0 0 0 802897 3512678 5218836 3311953 1103984 0 0 0 0 0 0 0 0 0 0 0 0 126102 189153 252204 189153 63051 0 0 0 0 0 0 0 63051 252204 441358 504409 378307 252204 63051 0 0 0 0 63051 252204 441358 441358 252204 0 0 0 0 252204 567460 819665 882716 693563 378307 63051 0 0 0 0 315256 882716 1639331 2711202 3593918 3593918 2900355 2332894 2206792 2458997 2269843 1197972 0 0 0 0 0 1450177 3846123 5170199 3026458 315256 0 0 945768 3467816 4413584 2332894 378307 0 0 63051 630512 1008819 1008819 693563 315256 0 7324 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7324 21974 43949 43949 36624 21974 7324 0 0 0 0 0 21974 65924 80573 36624 0 0 0 0 7324 51274 65924 36624 7324 0 0 0 0 36624 87898 131848 139173 131848 139173 183122 263696 336945 336945 256371 197772 219746 373569 578667 549367 256371 0 0 0 0 0 131848 468793 461468 102548 0 0 0 205097 468793 314970 51274 0 0 0 0 58599 109873 102548 51274 0 0 0 0 2992 10473 17954 20946 17954 14961 13465 11969 13465 13465 11969 7480 1496 0 0 0 0 0 0 0 2992 11969 31420 28427 8977 0 0 0 0 0 4488 17954 16458 2992 0 0 0 0 2992 29923 68824 38901 5984 0 0 0 0 0 0 0 10473 19450 23939 25435 32916 44885 46382 25435 0 0 0 0 0 0 0 98748 230413 116703 0 0 0 0 11969 103237 55359 0 0 0 0 7480 68824 101741 38901 4488 0 0 148859 357263 506122 416806 208403 89315 89315 178631 238175 208403 119087 59543 29771 29771 59543 59543 89315 148859 208403 238175 178631 59543 0 0 0 59543 119087 148859 119087 89315 59543 59543 89315 89315 148859 238175 267947 238175 148859 59543 89315 208403 387035 476350 297719 148859 119087 208403 238175 208403 178631 387035 714526 803842 476350 208403 297719 893157 1935175 2530613 1875631 774070 89315 0 178631 267947 0 0 0 654982 922929 357263 0 0 446578 1339736 1816087 1220649 357263 0 29771 506122 893157 654982 238175 59543 119087 178631 119087 89315 0 0 0 0 40683 81366 0 0 0 0 81366 203416 244099 122049 40683 0 0 0 0 0 0 0 0 40683 40683 40683 0 0 0 0 0 0 0 81366 162732 81366 0 0 0 0 0 81366 122049 40683 0 0 0 0 0 0 203416 406832 447515 488198 895031 1545963 1708696 1098447 488198 284782 772981 2034162 3783541 4149690 2318944 447515 0 0 0 0 528882 3458075 5248138 1790062 0 0 0 0 1993478 2034162 244099 0 0 0 528882 1139130 813664 284782 0 0 4369833 2056392 771146 0 0 0 0 0 0 0 0 0 0 0 0 0 0 257049 257049 514098 514098 771146 1028196 1028196 771146 514098 0 0 0 514098 1285245 2056392 1542293 514098 0 0 0 257049 1542293 3341637 2827539 1028196 0 0 0 0 1799343 4369833 5912127 5140980 3084587 1285245 0 0 0 0 0 0 0 0 0 0 0 0 2827539 15679989 34444566 35729811 16194086 771146 0 0 0 10796058 24676703 14908842 771146 0 0 2827539 11053107 11310156 3855735 0 0 0 1542293 5140980 7968519 7197372