% 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 1187 855 522 237 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47 190 427 712 1045 1472 1948 2423 2803 3040 2993 2660 2185 1710 1235 807 475 190 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47 237 427 712 1045 1377 1758 2138 2375 2423 2280 1995 1615 2598 2871 3145 3418 3555 3692 3692 3692 3555 3282 3008 2735 2324 2051 1641 1367 957 683 547 273 136 0 0 0 0 0 0 0 0 0 136 136 273 410 547 683 957 1094 1367 1641 1777 2188 2461 2735 3008 3418 3692 3965 4239 4376 4512 4512 4376 4239 3965 3555 3008 2598 2051 1641 1230 820 410 136 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 136 273 547 683 957 1230 1504 1777 2051 2324 635 3175 6350 9525 14605 20956 27941 36832 46357 55248 61598 64139 60963 53978 44452 34927 26036 19051 12700 8255 4445 1905 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 635 1270 2540 3175 3175 3175 3175 2540 1270 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10757 9341 7926 6511 5378 3963 2830 1698 849 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 283 849 1415 1981 2547 3113 3963 4529 5095 5378 5661 5944 5944 5944 5661 5378 4812 4246 3397 2830 1981 1132 283 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 849 1698 2830 3680 5095 6227 7643 8775 10191 11606 12455 13305 13871 13871 13588 13022 11889 3338 3641 3945 4097 4248 4248 4097 3945 3641 3186 2731 2124 1669 1062 606 151 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 303 606 910 1213 1669 1972 2427 2883 3338 3793 4248 4704 5007 5311 5462 5462 5311 5007 4704 4248 3793 3338 2883 2276 1820 1517 1062 758 606 303 151 0 0 0 0 0 0 0 0 0 151 303 455 606 758 910 1213 1365 1669 1972 2276 2731 3034 22365 20501 18016 16152 13667 11182 9318 7455 5591 4348 3106 1863 1242 621 0 0 0 0 621 621 1863 2485 3106 4348 5591 6833 8076 9318 9940 11182 12425 13046 13046 13667 13667 13046 12425 11182 9940 8697 7455 5591 4348 2485 1242 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1863 4348 6212 8697 11182 13667 16152 18637 21122 22986 24850 26092 26713 26092 25471 24228 31426 38409 46091 52376 57963 60757 60058 56566 50281 42599 34219 26537 19553 13268 8380 4190 1396 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 698 698 698 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1396 3491 5586 8380 11173 15363 20252 25140 1568 3920 7448 11761 18033 25874 35675 44692 50181 49397 42340 33323 24306 17249 11761 7448 4312 2352 392 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 154 309 464 619 826 1032 1239 1445 1652 1858 2013 2168 2271 2323 2271 2220 2116 1962 1755 1600 1394 1187 981 774 619 413 309 154 51 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 154 309 464 567 722 826 929 981 1032 1084 1084 1032 981 929 826 774 671 567 464 413 309 206 154 51 0 0 0 0 829 1658 1658 2488 2488 2488 2488 2488 1658 1658 829 829 0 0 0 0 0 0 0 0 0 829 1658 2488 3317 4147 5806 6635 8294 10782 12441 14929 16588 19077 22394 24883 27371 30689 33177 35665 38154 39813 40642 41472 41472 40642 38983 37324 34836 31518 29030 24883 21565 18247 14929 11612 9123 6635 4147 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 1171 2343 4687 7031 10547 12891 16407 19923 24611 28127 32815 37503 41019 45707 48051 51567 53911 55083 56255 55083 55083 52739 50395 48051 45707 42191 38675 35159 31643 28127 25783 22267 19923 16407 14063 11719 9375 7031 5859 3515 1171 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 63908 58185 51508 45785 40061 35292 31477 28615 25754 23846 21938 20030 18123 17169 15261 13353 11446 8584 6676 4769 1907 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 953 5723 11446 19077 27661 38154 48646 58185 64862 68677 67723 0 0 0 78308 208823 391543 652571 1004960 1435658 1761944 1827201 1592275 1239886 900549 652571 456800 326285 221874 143565 91360 52205 26102 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 33248 99746 182868 315863 531980 881091 1496193 2560153 3806982 3474494 1928427 881091 349111 99746 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 222133 888534 1999202 4109472 8441078 18548160 33875382 26211771 11106682 4331606 1443868 111066 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 901162 2188536 4634547 9269095 19053141 33857946 31411935 16092180 7209296 3089698 1029899 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 206042 453292 782959 1236252 1730752 2348878 2967004 3585130 4079631 4409298 4409298 4079631 3461505 2719754 1978003 1359877 824168 453292 164833 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 102992 343306 755274 1373226 2471808 4359995 6831803 7449755 5183931 2883776 1510549 720944 274645 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 120480 281121 441761 682722 1004004 1445765 2048168 2811211 3734894 4658578 5260980 5100340 4297137 3212812 2208808 1405605 843363 441761 160640 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 164025 309825 510300 801900 1202850 1749600 2351025 2751975 2642624 2095875 1458000 947700 583200 346275 182250 72900 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 54675 692612 1038918 1419855 1800792 2112468 2285621 2354882 2285621 2181729 2043207 1904684 1766162 1662270 1558378 1454486 1350594 1246702 1108180 969657 831135 692612 519459 380936 242414 138522 34630 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 138522 380936 0 0 61107 183323 397200 702740 1161048 1756850 2337374 2474867 2092943 1527696 1038833 672186 427754 259708 137492 45830 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1615571 2598963 3371628 3582355 3371628 3090659 2879932 2774569 2704326 2563842 2212631 1650693 1018512 526816 175605 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 245847 772664 0 0 0 0 56579 169739 301758 490357 754396 1093874 1508792 1942569 2282047 2376347 2187748 1791690 1376772 980714 678956 452637 264038 132019 37719 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11013 77097 154195 253321 385489 528671 715909 914160 1101398 1244580 1299650 1233566 1046328 804020 572727 363461 209265 99125 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 254790 322734 390678 441636 492594 526566 594510 679440 815328 1019160 1324908 1715587 2089279 2174209 1766545 1138062 611496 271776 67944 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 84930 169860 188981 262930 345096 443695 550510 665542 772358 862740 903823 854523 723058 550510 386179 246497 139681 65732 8216 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32866 73949 131465 0 17468 87341 209620 366835 558987 821012 1170379 1572151 1973923 2235949 2218480 1921518 1502278 1100506 751139 489113 296962 157215 52405 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 249720 308478 352546 425993 499440 587577 675714 778540 881366 984192 1087018 1145776 1175155 1145776 1042950 881366 675714 484751 308478 161583 58757 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29378 58757 73447 102826 132204 176273 205652 145801 166630 187459 197873 229117 260360 302018 364504 458234 583207 739423 926882 1103927 1176828 1093513 864396 593621 374918 197873 83315 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10414 41657 72900 104144 124972 9149 45746 82344 137240 192136 247032 311077 365973 430019 494064 548960 613005 667901 713648 750245 759395 713648 631304 521512 393421 265330 164688 82344 18298 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 180711 218100 261720 305340 336497 367655 386349 398812 405043 405043 392580 380117 361423 330266 299109 255489 205637 155786 112165 68545 31157 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18694 43620 68545 99703 137091 543089 775841 1066781 1396514 1706851 1939603 2017187 1881415 1648663 1357722 1066781 834029 659465 504296 387920 310336 232752 174564 116376 58188 19396 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19396 96980 213356 349128 817761 761364 676768 592172 521675 451178 408880 380682 380682 380682 394781 408880 437079 479377 507576 521675 507576 479377 437079 352483 281986 197390 126894 56397 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14099 112794 225589 366582 521675 676768 789563 845960 175081 217342 259603 295827 326013 338088 344125 338088 326013 301864 283752 265640 247528 235454 223379 211305 205267 193193 187155 169044 156969 132820 108671 78484 54335 24149 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12074 36223 60372 96596 132820 0 0 3815 11446 19077 30523 41969 53415 72493 91570 114462 144986 186955 236556 301418 373911 438773 469297 431142 339572 228925 137355 68677 22892 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 59623 71547 107321 143095 190794 262342 333889 429287 512759 596232 655855 679704 655855 596232 500834 417362 333889 250417 178869 119246 71547 35773 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47698 107321 155020 202718 238492 274266 310040 321965 333889 345814 333889 321965 298116 262342 238492 202718 166944 131171 107321 83472 59623 47698 47698 35773 47698 25653 33546 43413 51306 59200 63146 65120 65120 61173 55253 49333 41439 35520 31573 27626 27626 27626 29600 35520 43413 53280 69066 88800 110506 134186 149973 148000 126293 90773 57226 29600 9866 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3946 9866 17760 129412 187648 252354 317060 368825 401179 401179 381767 349414 310590 271766 239413 213530 200589 187648 187648 187648 194118 207060 213530 220001 220001 200589 174707 142353 97059 58235 25882 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6470 38823 77647 0 0 7464 29859 59719 104509 156764 231413 328458 455362 612126 776355 895795 925655 836075 671846 500152 350853 238878 149299 89579 37324 7464 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6165 24662 49325 80153 117146 178803 258956 376103 536409 733709 900181 931009 770703 542575 339109 197300 98650 36993 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 42857 42857 42857 42857 42857 47143 47143 51428 60000 68571 77143 90000 102857 115714 128571 145714 167143 184286 210000 231429 257143 278572 295715 300001 287144 252858 201429 145714 94286 51428 17142 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12857 25714 34285 38571 42857 0 0 0 0 0 12665 18998 31664 50663 69662 94993 126658 158322 196320 234317 272315 303979 329311 348310 360976 367309 373642 386307 386307 386307 379974 354643 316645 259649 202653 145657 88660 50663 12665 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11002 22005 33008 49513 68768 93525 121032 154041 189801 225561 253068 269573 264071 242065 206306 167795 129285 96276 68768 46762 27507 13753 2750 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22239 44479 81545 118611 170503 222396 289115 363247 429966 496685 541164 555990 548577 518924 481858 429966 378073 326181 281701 237222 200156 170503 140850 118611 88958 66718 51892 29652 7413 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11782 7854 7854 7854 11782 11782 19636 23564 31418 43200 54983 70692 86401 106038 125675 145312 168876 188513 208150 227787 247423 263133 274915 278842 270988 251351 216004 176731 133530 90329 51055 19636 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3927 7854 11782 15709 15709 15709 15709 11782 95170 102220 109269 109269 109269 105745 102220 98695 91645 88120 81071 77546 74021 70496 70496 74021 74021 81071 84596 91645 102220 109269 119844 130418 137468 140993 137468 130418 116319 98695 77546 56397 38773 21149 7049 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3524 17624 28198 45822 59922 74021 84596 18243 27364 36486 45608 50168 54729 63851 68412 72972 72972 77533 77533 77533 77533 77533 77533 86655 95777 114020 141385 182432 232601 305574 396790 474324 492567 424155 301013 182432 95777 36486 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4560 13682 0 0 0 11580 30882 57904 92646 127388 165991 196873 216175 223895 212314 189153 162131 135109 111947 88786 73345 57904 46323 38602 34742 30882 30882 30882 34742 38602 46323 57904 69484 84925 100367 115808 131249 142830 146690 138969 123528 100367 73345 50183 27021 7720 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20608 8243 0 0 0 0 0 0 0 0 0 0 0 0 8243 20608 45338 70067 103041 136014 173108 210203 243176 272028 288514 300879 300879 296758 284393 259663 226690 189595 148379 111284 78311 49459 24729 8243 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8243 24729 41216 45338 49459 41216 32973 50847 60689 70530 73811 72171 67250 59049 50847 42646 34445 27884 22963 19683 16402 16402 14762 16402 16402 19683 22963 26244 31164 37725 45927 54128 62329 68890 73811 75451 72171 65610 55768 42646 31164 21323 11481 3280 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6561 14762 26244 37725 0 0 0 0 0 0 0 0 0 0 0 8450 21126 42253 67605 92957 126760 156337 181689 198590 207041 207041 207041 211266 215492 223942 232393 245069 257745 257745 245069 215492 181689 143661 105633 76056 50704 33802 16901 8450 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2310 18487 41596 71638 110924 157143 201051 231093 240337 231093 207983 180252 152521 127101 101681 80882 60084 41596 27731 13865 4621 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4083 8166 12249 16332 24499 36748 48998 69414 93913 130662 175578 240909 322573 408321 481818 502234 457319 367488 269491 183744 118413 69414 32665 8166 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7522 20060 35105 55165 77732 110330 145435 188062 225675 253257 260780 243227 213137 175525 137912 105315 80240 60180 42627 30090 20060 12537 7522 2507 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9322 30297 67586 125850 219072 333270 398525 349583 247039 160808 102544 65255 41950 27966 16313 11652 6991 6991 6991 6991 9322 9322 11652 11652 11652 11652 9322 9322 6991 4661 2330 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3378 10135 16892 25338 33784 42230 50676 57433 62500 65879 65879 65879 65879 64189 62500 60811 59122 55743 52365 47297 43919 38851 33784 30405 27027 25338 25338 25338 27027 28716 33784 37162 42230 47297 48987 50676 47297 40541 32094 21959 11824 1689 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13107 10922 8738 6553 5461 4369 4369 4369 4369 5461 6553 6553 7645 8738 9830 9830 9830 10922 10922 10922 13107 15291 18568 24030 31676 43691 58982 78643 99397 111412 105950 86289 61167 40414 24030 13107 5461 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4369 9830 15291 17476 18568 17476 15291 0 0 0 0 0 0 0 0 0 0 0 0 2948 8845 17690 26536 38330 50124 64866 79609 94351 109094 123836 135630 144476 147424 147424 141527 129733 117939 100248 85506 70763 61918 53072 47175 47175 47175 53072 58969 70763 79609 91403 100248 103197 97300 82557 61918 38330 17690 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5970 15921 25871 37812 49753 57713 59703 57713 51743 43782 33832 25871 19901 13930 11940 9950 9950 11940 13930 19901 27861 37812 49753 63684 79605 95526 109457 119407 123388 119407 111447 97516 83585 65674 49753 35822 21891 9950 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1990 9950 15921 19901 19901 19901 15921 9950 5970 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6390 27692 61775 119290 208757 315266 364260 313136 219408 140591 89467 55384 31952 17041 6390 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6390 10650 14911 19171 19171 19171 19171 17041 12781 10650 6390 2130 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5302 12372 19442 28280 35350 40653 42420 38885 33583 26513 19442 12372 7070 3535 0 0 0 0 0 3535 8837 14140 19442 26513 31815 35350 38885 38885 38885 38885 37118 37118 38885 40653 44188 49490 58328 68933 79539 90144 100749 104284 100749 90144 74236 54793 35350 19442 7070 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1767 3535 3535 1767 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 1364 4093 6821 10914 16372 23193 34108 46387 62759 83224 103689 118697 121426 109147 88682 65488 45023 30015 17736 9550 4093 1364 0 0 0 1364 2728 5457 8186 10914 10914 10914 8186 5457 1364 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5457 13643 23193 32744 40930 45023 42294 36837 27286 16372 8186 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2253 5633 9013 12393 16900 22534 30421 41688 56335 76616 100276 116050 114924 93516 65348 40561 22534 10140 1126 0 0 0 0 0 0 0 0 0 0 0 1126 9013 20280 34927 48448 56335 50701 37181 21407 10140 1126 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2335 21017 49039 86403 130772 165800 177477 163465 140113 116761 98079 86403 81732 79397 84068 88738 95744 100414 100414 93409 81732 65386 51374 37363 25687 16346 9340 4670 2335 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4670 11676 16346 16346 14011 9340 4670 0 0 0 0 0 0 0 0 3081 2054 2054 2054 2054 2054 2054 2054 3081 3081 3081 4109 4109 5136 7191 9245 12327 15409 20546 26710 32874 40065 47257 52393 56503 57530 55475 51366 45202 38011 30819 23628 17464 12327 7191 3081 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4109 8218 11300 14382 16437 16437 16437 16437 15409 14382 13355 13355 13355 12327 12327 11300 10273 8218 6163 5136 3081 1027 0 0 0 0 0 0 2054 3081 5136 7191 9245 10273 10273 10273 9245 7191 6163 4109 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6787 18099 33936 53167 72398 85972 89366 83710 72398 59954 48642 39592 31674 24886 18099 13574 7918 4524 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1131 7918 16968 26018 31674 35067 35067 31674 28280 24886 21493 19230 16968 15837 14705 12443 10181 7918 4524 2262 0 0 0 0 0 0 213845 163948 117614 78409 46333 21384 3564 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14256 32076 57025 85538 117614 146127 156819 146127 121179 89102 60589 39204 21384 10692 7128 3564 3564 3564 3564 3564 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17820 39204 64153 96230 131871 174640 217409 253050 274434 274434 253050 0 0 0 0 0 0 0 0 0 0 0 0 3892 7784 11676 15568 18681 21017 21017 19460 17903 15568 13232 10897 9340 7784 7784 7784 9340 10897 14011 18681 24130 29579 35028 37363 37363 32693 26465 20238 14011 9340 6227 4670 4670 5448 7784 10897 14789 19460 23352 24130 22573 17903 11676 6227 1556 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1556 3892 6227 8562 10119 10897 10119 8562 6227 2335 0 0 0 0 0 0 0 0 0 0 10 21 43 65 87 119 141 185 218 261 316 359 403 425 436 414 381 327 272 218 174 119 87 54 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 54 98 141 185 228 283 327 370 425 457 490 490 479 436 370 305 228 163 109 54 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 323 1294 2913 4531 6797 9386 12299 15860 19744 23628 26865 29130 29130 26865 22657 17478 12299 8091 4531 1942 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 647 2265 3560 3884 3560 2265 971 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1294 3236 4855 5826 5826 4855 3236 1618 323 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 864 987 1234 1604 1851 2222 2592 2962 3086 3086 2839 2469 1975 1358 864 246 0 0 0 0 0 0 0 0 0 0 0 246 864 1604 2345 2839 3333 3456 3456 3209 2962 2592 2222 1975 1604 1234 864 493 123 0 0 0 0 0 0 0 0 0 0 246 864 1604 2345 3086 3456 3456 3209 2592 1975 1358 864 493 370 246 370 617 987 1358 1851 2345 2716 2962 2962 2839 2469 2098 1728 1358 1111 864 740 617 617 740 6540 6268 5722 4632 3270 1907 545 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1362 3542 6268 8993 11445 13353 14171 13898 12536 10900 8993 7358 6268 5177 4360 3815 3270 2997 2452 1907 1362 817 0 0 0 0 0 0 0 0 0 0 0 0 272 817 1635 2180 2997 3542 3815 4087 4360 4087 3542 2725 1907 1362 545 272 0 0 0 272 817 1635 2452 2997 3815 4360 4632 4905 5177 5177 5450 5722 5995 6540 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3582 14328 28657 41194 44777 37612 25075 8955 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3582 21492 51941 103882 188063 299110 349260 270453 161197 84180 39403 12537 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7144 8573 8573 7144 5715 1428 0 0 0 0 0 0 0 0 0 0 0 0 2857 7144 10001 12859 12859 11430 7144 4286 0 0 0 0 0 1428 4286 10001 17146 25719 34292 44294 51438 57153 58582 52867 44294 32863 21432 11430 4286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1428 5715 11430 18574 27147 34292 42865 48580 52867 57153 58582 60011 61440 60011 57153 52867 47151 40007 31434 24290 17146 11430 8573 5715 4286 4286 5715 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2215 5538 8862 12185 15508 18832 21047 21047 18832 15508 9970 4431 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1107 2215 1107 1107 0 0 0 0 0 0 0 0 4431 13293 27694 45419 66466 87514 104131 107454 98592 79760 58712 40987 25478 14401 6646 0 0 0 0 0 0 0 1107 4431 7754 9970 12185 13293 13293 13293 13293 13293 13293 13293 12185 11077 8862 5538 2215 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8734 17469 26204 32755 37122 34939 32755 28387 26204 21836 19653 17469 15285 13102 8734 6551 2183 0 0 0 0 6551 15285 24020 34939 48041 61143 74245 87347 104817 120102 137572 150674 155041 146307 128837 102633 74245 50224 30571 17469 8734 8734 8734 13102 13102 13102 10918 6551 2183 0 0 0 2183 4367 8734 10918 10918 8734 4367 0 0 0 0 0 0 0 0 0 4367 8734 10918 13102 13102 13102 13102 13102 13102 13102 10918 6551 2183 0 0 0 0 0 0 0 0 0 0 1840 1840 1840 1840 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1840 16563 38648 64414 92020 110424 110424 93860 69935 47850 29446 14723 3680 0 0 0 0 0 0 0 0 0 0 0 0 9202 31286 57052 84658 104903 110424 95701 71775 44169 22084 5521 0 0 0 0 0 0 0 0 0 0 0 3680 16563 34967 57052 80978 95701 88339 64414 38648 18404 3680 0 0 0 0 0 0 0 912 2006 3101 4013 4743 5108 5108 4925 4560 4013 3283 2736 2006 1459 912 364 0 0 0 0 0 0 0 0 0 0 0 0 182 1641 3466 6020 8756 10763 10945 9486 7114 4560 2554 729 0 0 0 0 0 0 0 0 0 0 0 0 729 1459 1824 2006 1641 1277 729 182 0 0 0 0 0 0 0 0 0 0 182 1459 3283 5655 8574 10763 10581 8027 5108 2554 729 0 0 0 0 0 0 0 0 0 11687 58436 93498 128561 151935 175310 186997 186997 186997 175310 163623 140248 116873 93498 70124 46749 23374 0 0 0 0 0 0 0 0 0 0 11687 81811 175310 292184 409058 490869 537619 514244 444120 338933 233747 140248 58436 0 0 0 0 0 0 0 0 46749 116873 175310 233747 268809 292184 280496 257122 210372 163623 116873 70124 35062 0 0 0 0 0 0 0 0 0 23374 81811 151935 245434 350621 467494 537619 537619 467494 350621 233747 140248 58436 11687 0 0 0 0 0 0 12393 37179 55768 68162 68162 61965 61965 68162 74358 86751 105341 130127 154913 173503 179699 161110 136324 92948 49572 12393 0 0 0 0 0 0 0 0 12393 49572 86751 117734 142520 154913 161110 161110 148717 130127 99144 55768 0 0 0 0 0 0 0 0 0 0 18589 92948 167306 210682 210682 161110 99144 37179 0 0 0 0 0 0 0 0 0 0 0 6196 49572 105341 173503 241665 303630 334613 309827 247861 167306 92948 37179 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6227 9340 12454 9340 6227 0 0 0 0 0 0 0 0 0 21795 68500 140113 233522 320704 336273 267773 171250 87181 31136 0 0 0 0 0 0 0 0 9340 21795 24909 15568 3113 0 0 0 0 3113 24909 56045 96522 143227 180591 189932 165022 118318 71613 34250 6227 0 0 0 0 0 0 9340 15568 24909 28022 28022 28022 24909 21795 15568 12454 9340 6227 3113 0 0 0 0 0 198976 245794 263351 245794 210681 169715 134601 99488 76079 58522 40965 29261 23409 23409 29261 40965 64374 99488 158010 228237 298464 333578 298464 216533 134601 70227 23409 0 0 0 0 0 0 0 17556 52670 99488 140454 169715 181419 169715 140454 99488 52670 5852 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23409 64374 105340 128749 134601 105340 64374 23409 0 0 0 0 0 0 0 0 0 0 0 0 35113 81931 140454 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 115992 278382 475570 672758 753953 661159 475570 289982 150790 46397 0 0 0 0 0 0 0 0 0 0 0 0 34797 81195 127592 208787 301581 440773 637960 904744 1171528 1275921 1067134 684358 336379 104393 0 0 0 0 0 0 0 0 0 0 0 0 0 11599 57996 81195 81195 57996 11599 0 0 0 0 0 0 0 0 0 0 110778 276945 415418 526196 498501 387723 276945 166167 55389 0 0 0 0 0 0 0 0 83083 249250 498501 830836 1107782 1135476 830836 470807 193861 0 0 0 0 0 221556 609280 1163171 1883229 2603288 2991011 2852539 2354037 1744756 1163171 692363 332334 55389 0 0 0 0 0 0 0 0 0 0 0 0 27694 193861 304640 276945 138472 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18487 27731 36974 46218 55462 73949 101681 147899 194118 231093 240337 221849 184874 147899 120168 110924 101681 101681 92437 73949 27731 0 0 0 0 0 0 0 0 0 129412 378992 739498 942860 721011 369749 120168 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 73949 203362 369749 536136 591598 499161 314286 147899 36974 0 0 0 0 0 0 0 0 0 0 0 0 9243 46218 92437 138655 157143 129412 83193 27731 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 808684 1191745 1489681 1574806 1319432 893809 510748 212811 42562 0 0 0 0 85124 383061 808684 1404557 2128116 2553740 2213241 1489681 808684 340498 42562 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 297936 1021496 2000429 2936801 3149612 2511177 1532244 723559 212811 0 0 0 297936 680997 1106620 1361994 1276870 893809 468185 170249 0 0 0 0 0 0 42562 42562 42562 42562 0 0 0 0 0 0 0 42562 85124 127687 212811 340498 553310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3936437 4473225 4652154 4473225 4115366 3757509 3220722 2505006 1610361 715716 0 0 0 0 0 357858 1610361 3220722 4473225 4831083 3936437 2683935 1610361 894645 715716 894645 1073574 894645 357858 0 0 0 0 0 0 536787 2147148 3578580 3578580 2862864 1789290 894645 715716 1431432 2683935 4294296 5904657 6978230 7693947 8051805 8230733 7515018 6262515 4294296 2147148 536787 0 0 0 1252503 3220722 5367870 6620373 6083586 3936437 1610361 178929 0 0 0 0 0 178929 178929 0 0 0 0 0 0 0 0 0 0 0 178929 536787 1252503 2147148 3041793 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 478235 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1076030 3467208 7293094 9803831 6814858 2749855 358676 0 0 0 0 0 0 1076030 6336622 16140454 16140454 6456181 1195589 0 0 0 0 0 0 0 0 0 0 0 0 239117 717353 717353 358676 0 0 0 0 0 0 0 0 0 0 0 0 0 1076030 3108531 5619269 5260592 2391178 478235 0 0 0 0 0 0 0 239117 1793383 5021474 7053976 4304121 1673824 0 154994 309989 774974 1394953 2324923 3564882 4959836 5889805 5889805 4959836 3874871 2944902 2479918 2479918 2789907 3254892 3874871 4029866 3564882 2479918 1239959 309989 0 0 0 0 0 619979 1859938 2944902 3409887 2789907 1549948 309989 0 0 0 0 464984 1549948 3099897 4804841 6354790 6664779 5734810 3719877 1704943 309989 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 464984 1394953 2634912 3874871 4649846 4339856 2944902 1549948 309989 0 0 0 0 619979 2014933 3874871 5114831 4649846 2944902 1394953 464984 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 150932 603729 1207458 1660254 1660254 1358390 754661 150932 0 150932 603729 1509322 3018645 4678899 5735425 5131696 3924238 2716780 1811187 1207458 754661 452796 150932 0 0 0 1056525 3018645 6188222 9659664 11168986 9206867 5584493 2565848 754661 150932 603729 1962119 4075170 6037290 6490086 5131696 3169577 1660254 905593 754661 905593 1056525 1056525 905593 754661 754661 603729 301864 0 0 0 0 0 0 301864 603729 1207458 1962119 3018645 4226103 4829832 4226103 2867712 1358390 452796 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 755443 516882 357841 198800 79520 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 79520 198800 477121 914483 1351845 1391605 914483 318081 0 0 0 0 0 79520 874723 1908487 2385609 1789207 834963 39760 0 0 0 0 0 0 0 437361 1033764 1312085 1312085 1232564 1232564 1391605 1630166 1749447 1669926 1391605 1073524 795203 675922 675922 755443 755443 596402 318081 0 0 0 0 0 0 0 0 119280 437361 636162 477121 159040 0 0 0 0 0 0 0 119280 477121 834963 914483 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16362485 19998593 21816647 18180539 14544431 9090269 5454161 3636107 1818053 1818053 0 0 0 0 0 0 0 5454161 12726377 21816647 29088863 36361079 39997187 39997187 30906917 16362485 0 0 0 0 0 0 12726377 54541619 90902699 79994375 34543025 0 0 0 0 0 0 12726377 38179133 58177727 76358267 92720753 98174915 79994375 43633295 10908323 0 0 0 0 7272215 25452755 38179133 41815241 34543025 27270809 23634701 25452755 30906917 36361079 36361079 30906917 21816647 12726377 7272215 5454161 5454161 10908323 19998593 32724971 43633295 45451349 36361079 23634701 10908323 3636107 1818053 1818053 3636107 5454161 9090269 9090269 10908323 12726377 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4940036 6175045 8645063 10497577 11732586 11115081 10497577 9880072 9262568 8645063 8645063 8645063 8645063 8645063 9262568 10497577 11732586 12967595 12350091 11115081 9262568 7410054 5557540 3705027 1235009 0 0 0 1235009 6175045 13585100 20377650 22230163 17290127 10497577 4322531 0 0 2470018 8645063 16672622 21612659 18525136 9880072 1235009 0 0 0 1235009 4322531 5557540 3705027 2470018 1235009 2470018 4322531 7410054 10497577 11732586 10497577 6792550 2470018 0 0 0 0 0 1852513 3087522 5557540 7410054 9262568 10497577 10497577 8645063 6792550 4940036 4322531 4940036 6175045 6792550 8027559 8027559 8027559 7410054 6792550 5557540 4940036 4322531 4322531 10161529 6350955 2540382 0 0 0 2540382 5080764 7621147 7621147 6350955 2540382 0 0 0 0 0 3810573 11431720 19052867 24133632 25403823 24133632 25403823 29214397 33024971 34295162 29214397 20323059 12701911 6350955 5080764 5080764 6350955 8891338 13972103 21593250 30484588 38105735 36835544 26674015 16512485 11431720 12701911 19052867 21593250 16512485 5080764 0 0 6350955 21593250 40646118 54618221 59698986 54618221 41916309 27944206 16512485 8891338 6350955 8891338 15242294 20323059 21593250 17782676 12701911 8891338 10161529 15242294 20323059 21593250 17782676 10161529 3810573 0 0 0 1270191 5080764 8891338 11431720 10161529 7621147 3810573 2540382 2540382 5080764 8891338 11431720 21967308 16475481 16475481 20136698 25628526 23797917 18306090 9153045 0 0 0 0 0 0 1830609 7322436 14644872 20136698 18306090 10983654 5491827 7322436 16475481 38442789 64071315 69563142 43934616 14644872 0 0 7322436 34781571 73224360 97022277 80546795 43934616 10983654 0 0 0 9153045 29289744 43934616 58579488 75054969 95191668 102514104 78716187 34781571 0 0 0 0 1830609 20136698 29289744 27459135 16475481 1830609 0 0 0 0 10983654 42104007 67732533 62240706 34781571 10983654 0 0 0 0 0 0 0 0 5491827 12814263 14644872 12814263 5491827 0 0 0 1830609 10983654 21967308 31120353 27459135 0 0 0 0 8302035 14528561 14528561 12453052 8302035 6226526 4151017 4151017 4151017 6226526 12453052 18679578 24906105 22830596 12453052 0 0 0 0 0 0 0 0 4151017 31132631 51887719 64340772 68491789 68491789 68491789 70567298 78869333 87171368 93397894 89246877 83020351 68491789 39434666 0 0 0 0 0 0 0 35283649 95473403 105850947 70567298 33208140 12453052 2075508 4151017 16604070 35283649 56038736 72642807 70567298 45661193 12453052 0 0 0 0 0 0 0 6226526 20755087 26981614 29057122 26981614 24906105 20755087 16604070 12453052 10377543 10377543 12453052 16604070 16604070 8302035 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8094298 0 0 0 0 16188596 48565788 105225874 153791662 153791662 105225874 56660086 24282894 8094298 8094298 32377192 72848682 121414470 137603066 113320172 72848682 40471490 24282894 16188596 8094298 0 0 8094298 48565788 113320172 169980258 153791662 72848682 0 0 0 0 97131576 186168854 202357450 129508768 40471490 0 0 0 0 0 48565788 161885960 307583325 380432007 299489027 145697364 32377192 0 16188596 105225874 275206133 461374988 518035074 348054815 145697364 24282894 0 0 0 0 0 0 8094298 64754384 145697364 259017537 315677623 250923239 137603066 56660086 8094298 0 0 16188596 56660086 121414470 194263152 218546047 161885960 105225874 56660086 32377192 16188596 0 0 0 1260317 3780953 6301589 12603179 21425404 31507948 30247630 20165086 11342861 6301589 3780953 5041271 10082543 16384132 23946040 26466676 21425404 13863497 5041271 0 0 0 0 0 0 7561907 26466676 37809537 32768265 17644450 5041271 0 0 8822225 25206358 41590491 51673034 54193670 46631763 28987312 3780953 0 0 0 0 0 17644450 45371445 42850809 23946040 8822225 5041271 7561907 16384132 30247630 42850809 46631763 34028583 12603179 0 0 0 0 0 0 0 0 10082543 25206358 37809537 37809537 26466676 13863497 5041271 1260317 0 1260317 5041271 11342861 22685722 32768265 26466676 11342861 0 0 0 0