% 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 88 degrees 0 0 0 0 0 0 0 0 0 0 0 0 0 58 145 233 320 407 524 640 757 873 961 1019 1077 1077 1048 1019 932 844 728 611 495 407 291 203 116 58 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 87 174 262 349 466 582 670 786 873 961 1019 1048 1048 1019 932 873 757 640 524 436 320 233 145 58 0 0 0 0 0 0 0 0 2042 2112 2112 2042 1971 1901 1760 1619 1408 1197 1056 845 704 563 422 281 140 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 140 281 422 563 774 915 1126 1337 1549 1690 1901 2042 2112 2182 2182 2182 2042 1971 1830 1619 1408 1267 1056 845 704 492 352 211 140 0 0 0 0 0 0 0 0 0 0 0 0 0 70 211 352 492 633 774 985 1126 1337 1549 1690 1830 1971 155 362 673 983 1346 1812 2330 2796 3210 3521 3573 3418 3055 2589 2071 1605 1191 776 466 258 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 0 0 51 207 414 621 828 1087 1294 1450 1553 1553 1450 1346 1139 932 725 517 310 155 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 857 857 831 779 727 649 571 493 415 363 285 233 181 129 103 77 51 25 0 0 0 0 25 25 51 77 103 155 207 259 311 389 467 545 623 727 805 857 909 935 961 935 883 805 701 597 493 389 285 181 103 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 129 207 311 415 519 597 701 779 831 0 0 196 490 882 1177 1569 1962 2452 2845 3237 3531 3826 3924 4022 4022 3924 3728 3433 3237 2845 2550 2256 1962 1667 1471 1275 1079 882 784 686 588 490 490 490 490 490 588 588 686 784 882 1079 1177 1275 1471 1569 1667 1765 1765 1864 1765 1765 1667 1569 1373 1177 981 686 490 294 98 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1391 3477 5564 7651 10433 13215 15998 18780 21562 24344 26431 28518 29909 31300 31996 31300 31300 29909 28518 26431 24344 22258 20171 18084 15998 14606 12520 11129 9042 7651 6955 5564 4868 4173 3477 2782 2086 2086 2086 1391 1391 2086 2086 2086 2782 2782 3477 4173 4173 4868 4868 5564 5564 6260 6260 5564 5564 4868 4173 3477 2782 2086 695 0 0 0 0 0 0 787 1049 1312 1574 1837 2099 2099 2361 2361 2361 2624 2624 2624 2624 2886 2886 2886 3149 3149 3411 3674 3936 3936 4199 4723 4986 5248 5511 5773 6298 6561 6823 7085 7610 7873 7873 8135 8135 8398 8398 8135 8135 7873 7610 7348 6823 6561 6036 5511 4986 4461 3936 3411 2886 2099 1574 1312 787 262 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 262 524 0 0 0 0 0 0 0 0 0 0 738 1845 3321 4428 6273 7749 9594 11439 12915 14391 15498 16605 16605 16605 15867 14760 13284 11808 10332 8487 7011 5535 4059 2952 1845 1107 369 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 369 1107 1845 2583 3321 4059 5166 5904 7011 7749 8487 8856 9225 9225 9225 8856 8118 7380 6642 5535 4428 3321 2583 1476 738 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6766 18045 36090 71053 134212 228949 262784 181580 99249 50752 25940 11278 2255 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2727 16365 27275 46368 65461 87282 114557 144561 171836 196384 215477 220932 215477 201840 182747 158198 133650 111830 92737 73644 60006 49096 38185 30003 21820 16365 13637 8182 5455 2727 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4838 11289 19353 29030 41933 54835 70963 87091 103220 116122 125799 127412 124186 116122 104832 91930 79027 66125 54835 45158 37094 30643 24192 17740 12902 9676 6451 3225 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7879 18385 28890 42022 57781 73540 91925 110310 128695 144454 157586 165465 168091 168091 162839 152333 141827 128695 115563 102431 89298 76166 65660 55155 44649 36770 28890 23637 18385 13132 7879 5252 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3820 8404 14516 22921 34382 48899 65708 82517 93978 93978 83281 66472 49663 35910 24449 16045 9932 5348 1528 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5202 10404 20808 28610 41616 54621 70227 88434 109242 130050 153459 176868 195075 208080 210681 202877 187272 166464 140454 114443 91035 70227 52020 36414 23409 10404 2601 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4498 13494 26988 44980 67470 98956 134940 175422 215904 242892 249640 231647 197912 157430 121446 89960 65221 47229 31486 17992 8996 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 6227 12454 18681 28022 37363 49818 68500 87181 108977 137000 165022 196159 224182 249091 264659 264659 252204 227295 193045 158795 124545 93409 65386 43590 24909 12454 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1948 5846 9743 15589 21435 29230 38974 48717 60409 74050 87691 103281 116922 130563 140306 144204 144204 138358 126665 113025 97435 81845 66256 50666 38974 27281 17538 9743 3897 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1641 3283 4925 8209 8209 9851 11493 13135 14777 18060 21344 24628 29554 37763 45972 57466 73885 93587 116574 141202 162547 172398 164189 139560 105081 73885 47614 26270 11493 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 3383 10151 13535 20303 23686 30454 37222 43990 54141 67677 84596 108283 138738 179344 226718 280860 331617 365456 365456 321466 253789 182728 121818 74444 37222 10151 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4320 10800 19440 28081 41041 54002 71282 90723 112324 136085 157686 177127 187927 187927 179287 159846 138245 112324 90723 69122 51842 36721 23760 15120 6480 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1435 2871 5265 8137 11487 15316 20103 25847 32069 37813 42600 44993 44514 41164 36377 30155 23932 18667 13880 10051 6701 3829 1914 478 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1691 5921 10151 15227 22841 31300 41452 53295 65985 76982 85442 87134 82058 71906 58371 45682 33838 24532 16073 10151 5075 1691 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1479 3453 5426 7893 10853 14306 17760 22200 26640 31080 35026 38973 40946 41439 39960 37000 32066 26640 20719 15786 10853 6906 3946 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 525 1577 2629 4207 5785 7626 9466 11570 13411 14989 16040 16829 17092 17092 16566 15777 14726 13674 12359 11044 9466 8151 6574 5259 3944 2892 1840 1051 262 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2304 3456 4608 5760 6912 8064 9216 10368 11520 12096 13247 13824 14976 16128 16704 17856 19008 20160 21888 23040 24192 25343 26495 27072 27648 27072 26495 25343 23040 20736 17856 14976 12096 9792 6912 4608 2880 1152 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1152 0 0 0 0 0 0 0 0 0 0 0 0 414 622 829 1244 1451 1866 2280 2695 3317 3939 4561 5391 6428 7464 8916 10368 11819 13271 14515 15344 15551 15137 13893 12234 10160 8087 6013 4354 2903 1658 622 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 452 1358 2716 3622 4527 5433 5886 6791 7244 8150 8602 9055 9508 9961 10866 11319 12225 13130 14036 15394 16753 18111 19469 21280 22639 23544 23997 23997 23092 21733 19469 16753 13583 10866 8150 5433 3169 1358 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 561 6178 15165 31454 57854 95487 120763 102227 64594 36509 19097 8987 2808 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13600 31085 52457 79657 104914 124343 136000 137943 130172 120457 108800 99086 89371 83543 79657 75771 73828 71886 68000 62171 56343 48571 38857 29143 17485 9714 1942 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 726 2180 3634 5087 7268 10175 13809 18170 23985 31253 40701 51604 62506 72681 78496 77042 68321 55238 41428 29072 18897 10902 5087 726 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2106 4681 8427 13343 19897 27154 32538 32772 27856 20599 13811 8661 4915 2340 468 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 234 702 936 1404 1638 1638 1638 1638 1404 1170 936 468 234 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 2058 9264 17499 27793 41175 57645 77203 95732 110143 115290 111173 96761 79262 61762 45292 32940 22646 14411 8235 4117 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 547 4928 11498 21902 36686 56946 78301 89799 82134 62421 42162 27378 16426 9856 4928 1642 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4410 10585 18523 28226 40576 53807 67920 79388 85562 86444 80270 70567 59100 48514 38811 29991 23816 17641 13231 9702 7056 4410 2646 882 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 335 1005 1676 2681 3352 4022 4693 5363 5698 6034 6369 6369 6034 6034 5698 5363 5363 5363 5698 6034 6704 7374 8380 10056 11732 13409 15755 17766 19443 20783 21119 20113 18437 15755 12403 9386 6704 4022 2011 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 0 547 1641 2188 3282 4923 6017 7111 8205 9846 10940 12581 14222 15863 17504 19145 20786 22427 24615 26256 27350 28444 29538 29538 28991 27897 25709 23521 20786 18051 15316 12581 10393 7658 6017 3829 2735 1094 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 673 1571 2694 4266 5613 7185 8757 10104 11002 11452 11452 11002 10553 9655 8982 8083 7410 6736 6287 5838 5613 5389 5389 5389 5389 5389 5389 5389 5164 5164 4715 4266 3817 3143 2470 1796 1122 673 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 504 1008 1512 2016 2268 2520 3024 3024 3276 3528 3528 3528 3528 3528 3528 3528 3528 3528 3780 3780 4284 4536 5293 6049 7057 8065 9578 10838 12350 13610 14367 14619 14115 13358 12098 10334 8821 7309 5797 4536 3276 2268 1260 504 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 207 828 1864 2900 3935 5178 6421 7457 8078 8493 8493 8286 7871 7457 6836 6214 5800 5385 4971 4764 4764 4764 4971 4971 5385 5593 5800 6007 6007 6007 6007 5593 5385 4971 4350 3935 3314 2692 2071 1657 1035 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 234 702 1405 2108 3046 3749 4686 5623 6561 7498 8435 9372 10544 11716 12653 13825 14528 14996 14996 14528 13590 12184 10778 9138 7498 5858 4686 3514 2577 1640 937 468 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 143 431 863 1294 1870 2589 3308 4171 5034 5754 6617 7336 7912 8343 8775 9062 9350 9350 9206 8775 8055 7048 5898 4603 3452 2445 1438 719 143 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1087 3263 6527 11151 17678 26381 35629 41884 41068 33453 23662 14958 8975 4623 1903 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 122 305 488 732 976 1220 1464 1708 1952 2074 2196 2318 2379 2440 2501 2562 2623 2685 2746 2746 2746 2685 2562 2379 2135 1830 1586 1281 976 732 488 305 183 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 61 183 244 305 427 488 488 549 488 488 427 305 183 61 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 604 3024 6351 10888 16332 21776 26313 28431 27523 24801 21474 17844 14820 12400 10586 9073 8166 7258 6654 6049 5444 4839 3931 3327 2419 1512 907 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 313 941 1569 2511 3139 4080 4708 5650 6592 7534 8475 9417 10673 11614 12242 12870 12870 12556 11928 10987 10045 8475 7220 5964 4708 3453 2511 1569 941 627 313 313 313 627 1255 1883 2825 3767 5022 6278 7534 8475 9417 10045 10359 10045 9103 8161 6906 5336 4080 2825 1569 627 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 215 1077 2369 4093 6032 8186 10341 12064 13357 13572 12926 11633 10125 8402 6678 5386 4308 3447 2800 2585 2369 2369 2800 3231 3877 4524 5386 6032 6678 6894 6894 6463 5816 4739 3662 2585 1508 646 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 567 648 567 567 486 405 243 162 0 0 0 0 0 0 0 0 0 0 0 0 0 0 81 243 486 729 1053 1377 1781 2349 2916 3645 4455 5265 5993 6480 6723 6561 6075 5265 4293 3321 2430 1620 972 486 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 81 81 81 81 81 81 0 0 0 0 0 0 0 81 162 243 324 405 486 567 92 92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 276 553 922 1476 2029 2675 3321 4151 4889 5627 6273 6642 6826 6734 6365 5811 5166 4520 3874 3228 2675 2121 1660 1199 830 553 276 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 92 92 92 92 92 184 184 184 184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 207 415 623 831 1247 1662 2182 2806 3637 4573 5612 6755 7795 8626 9042 8938 8314 7275 6028 4884 3741 2702 1870 1247 623 207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 103 207 311 311 311 311 311 207 103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 197 460 723 987 1316 1710 2040 2369 2632 2829 2961 3027 2961 2763 2566 2303 1974 1710 1447 1250 1052 855 789 723 658 723 789 855 1052 1184 1381 1579 1776 1842 1908 1908 1776 1579 1381 1118 921 658 460 263 131 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 184 645 1199 1937 3044 4520 6273 8118 9686 10424 9963 8579 6734 4889 3228 1937 1014 276 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 276 461 738 1014 1199 1291 1291 1199 922 645 369 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 0 233 466 699 1048 1514 1980 2446 3146 3845 4777 5826 7107 8389 9554 10370 10720 10254 9088 7574 5942 4427 3146 2097 1281 582 116 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3976 2761 1878 1104 441 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 110 220 441 662 773 994 1104 1215 1325 1325 1325 1215 1104 883 773 552 441 220 110 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 110 220 441 773 1104 1546 2098 2761 3645 4750 5965 7180 8285 8948 9169 8727 7843 6517 5192 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47 190 285 381 524 619 762 905 1048 1239 1429 1715 2049 2382 2716 3050 3240 3240 3097 2716 2287 1763 1334 905 571 333 95 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 95 238 428 571 714 857 953 953 953 857 714 571 428 238 95 0 0 0 0 0 0 0 0 0 0 0 103 206 310 413 517 569 569 517 413 310 206 103 0 0 0 0 0 0 0 0 0 0 51 155 206 258 310 362 413 465 465 465 517 517 569 672 724 827 931 1034 1138 1189 1293 1345 1396 1396 1448 1500 1603 1655 1810 1965 2121 2276 2379 2483 2431 2276 2017 1655 1293 931 620 310 103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40 243 526 972 1599 2328 2794 2652 2045 1377 850 506 263 121 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 101 222 344 486 567 607 546 445 324 182 81 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 196 262 327 458 524 655 786 917 1114 1310 1573 1835 2162 2425 2687 2883 3015 3080 3015 2818 2621 2425 2162 1966 1769 1573 1441 1310 1179 1048 917 852 786 720 655 655 655 655 655 655 720 720 720 720 720 655 655 655 589 524 524 458 327 262 196 131 65 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 65 131 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 130 364 676 1145 1796 2473 2994 3046 2577 1926 1301 807 468 208 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 52 156 234 312 390 416 390 364 338 312 286 260 260 260 286 286 286 286 260 208 182 130 78 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 950 864 691 518 259 0 0 0 0 0 0 0 0 0 0 0 518 1209 1987 2937 3715 4320 4406 3974 3196 2332 1468 777 259 0 0 0 0 0 0 0 0 0 0 0 0 172 777 1555 2592 3801 5097 6048 6221 5702 4665 3456 2332 1555 950 518 259 172 86 172 259 345 432 604 604 604 518 432 172 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 86 345 691 864 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 208 416 729 1041 1458 1874 2395 3020 3540 3957 4269 4269 4061 3749 3124 2603 1978 1353 833 416 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 208 624 1249 2082 3020 4165 5311 6248 6769 6561 5832 4790 3645 2707 1874 1353 937 624 416 208 104 0 0 0 484 343 201 80 0 0 0 0 0 0 0 0 0 0 0 0 60 161 282 403 524 625 666 646 605 524 423 343 262 201 141 100 80 60 60 80 121 161 222 282 363 444 524 585 605 585 504 423 302 181 80 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 80 161 222 282 302 302 282 262 222 161 141 121 121 141 201 282 363 484 605 686 726 706 605 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 197 492 886 1280 1871 2364 2955 3546 4038 4235 4334 4137 3743 3152 2659 2167 1674 1280 985 788 591 394 295 197 98 0 0 0 0 0 0 0 0 0 0 98 197 295 394 394 492 689 788 1083 1379 1871 2364 3053 3841 4531 4925 5023 4629 4038 3152 2364 1674 1182 689 394 98 0 0 0 0 0 0 0 0 0 0 0 0 0 140 352 563 845 1057 1268 1409 1480 1550 1480 1339 1198 986 845 634 493 352 211 140 70 70 70 70 140 140 211 281 422 563 704 916 1198 1480 1832 2326 2819 3313 3806 4158 4299 4158 3735 3172 2608 1973 1480 1057 775 563 422 352 281 281 352 422 422 493 563 563 493 422 352 211 140 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39 119 238 277 317 357 317 277 198 158 79 39 0 0 0 0 0 0 0 39 119 277 476 754 1151 1627 2103 2500 2619 2421 1984 1468 952 555 238 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 158 357 555 714 793 793 714 555 396 238 79 0 0 0 0 0 0 0 0 39 198 436 754 1151 1547 1825 1944 1746 1349 912 515 198 0 0 0 0 2031 3047 4432 5817 7018 7479 6925 5633 4155 2862 1846 1108 554 184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 646 1477 2677 4155 5448 6094 5725 4432 2955 1754 831 277 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 184 369 738 1292 396 238 119 79 79 119 119 158 158 158 158 119 79 39 0 0 0 39 79 198 357 515 674 873 1031 1151 1190 1190 1151 1111 1071 992 952 833 714 595 436 277 119 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39 79 119 119 79 0 0 0 0 0 0 0 0 158 436 833 1349 1984 2659 3095 3135 2738 2143 1508 992 635 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1601 1355 985 739 492 369 369 492 616 739 862 1108 1232 1355 1478 1478 1355 1232 1108 985 985 985 985 1108 1108 1232 1355 1355 1478 1478 1355 1355 1232 1108 1108 985 985 985 1108 1232 1601 1971 2464 3080 3573 4189 4435 4435 4189 3573 2957 2217 1601 1108 739 492 246 246 123 123 246 246 369 369 492 492 616 616 739 739 862 985 1232 1355 1478 1601 1601 1601 1601 1478 1478 1478 1478 1601 1724 1848 1971 2094 2094 1848 1037 1686 2204 2723 3112 3501 3761 4150 4280 4539 4669 4539 4280 3631 2983 2204 1556 907 518 129 0 0 0 0 129 389 518 648 648 518 259 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 518 1556 2983 4928 7263 9597 11154 10765 8819 6095 3631 1815 648 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 129 518 1467 2054 2445 2640 2445 2054 1467 880 489 97 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 489 880 1075 1075 880 684 391 293 97 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 293 978 1467 1760 1565 978 489 97 0 0 0 195 978 2249 4401 7531 11150 12813 10857 7336 4401 2445 1271 586 293 195 293 489 978 1004 655 393 131 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 218 786 1747 3102 4369 4456 3320 1966 1004 393 43 0 0 0 0 0 0 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 43 0 0 0 0 0 0 0 0 0 0 0 0 0 218 524 961 1398 1878 2228 2446 2490 2403 2140 1791 1398 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 493 739 739 369 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 616 1850 3453 5303 6290 5796 4193 2589 1356 493 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1110 2959 6290 11839 18746 20473 14676 7893 3576 1110 0 0 0 0 0 0 0 0 0 0 0 0 123 123 0 0 0 0 0 0 0 0 0 1944 972 81 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 567 1701 3563 6155 7613 5913 3077 1053 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 567 1458 2025 2106 1781 1458 1215 1134 1134 1134 1134 1134 1134 1053 972 890 890 1053 1377 1863 2511 3077 3159 2430 1377 405 0 0 0 0 0 0 0 0 0 0 0 0 0 81 324 810 1377 2025 2592 2673 0 0 0 0 0 0 0 0 0 0 0 0 52 312 677 1147 1721 2190 2346 2033 1303 573 0 0 0 0 0 0 0 0 0 156 469 782 990 990 782 521 208 0 0 0 0 0 0 0 260 677 1147 1616 1877 1773 1460 990 573 156 0 0 0 0 0 0 0 0 0 0 0 0 0 208 834 1408 1721 1721 1616 1408 1303 1251 1251 1251 1251 1251 1251 1199 1199 1199 1095 886 573 156 0 0 0 0 0 196 588 981 981 784 490 98 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 196 392 784 1275 1962 2550 2943 2845 2354 1667 882 196 0 0 0 0 0 0 392 1569 3041 4316 4218 2943 1471 392 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 196 686 1667 3433 6180 10203 13048 11282 6671 3139 981 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 259 950 1641 2246 2419 2160 1555 950 345 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 345 777 1209 1641 1900 1814 1468 950 345 0 0 0 0 0 0 0 0 172 1036 2332 3888 5443 6134 5616 4320 2937 1814 950 432 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 172 432 864 1555 2592 3801 4925 5184 4320 2851 1382 345 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1174 1077 1174 1468 1860 2251 2643 2839 2839 2545 2154 1664 1370 1272 1272 1370 1566 1664 1664 1370 881 293 0 0 0 0 0 97 685 1370 2251 3133 3916 4210 4112 3524 2839 1958 1272 685 195 0 0 0 0 0 0 0 0 0 0 0 0 0 97 391 881 1370 1860 2056 1860 1370 783 293 0 0 0 0 0 587 1272 1860 2056 1860 1370 881 391 0 0 0 0 97 391 685 1077 1468 1664 1762 1566 1370 116 0 0 0 0 0 0 0 0 175 496 788 846 671 379 116 0 0 0 0 0 0 0 0 0 58 87 87 116 87 87 87 58 29 0 0 0 0 0 0 0 0 0 0 0 87 145 175 175 145 116 116 145 175 233 262 262 204 116 0 0 0 0 0 0 0 87 408 846 1284 1547 1488 1167 817 554 350 204 116 87 87 145 262 467 817 1371 2160 2860 2772 1809 788 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 498 1662 2826 3491 3491 2826 1994 1496 1163 1163 1496 1828 2327 2493 2327 1828 1163 498 0 0 0 166 831 1828 2659 3158 3324 2826 2161 1496 997 664 664 831 1163 1662 2327 2659 2826 2493 1994 1329 664 332 332 664 1163 1994 2826 3324 3657 3324 2826 2327 1828 1828 1994 2659 3657 4654 5486 5486 4654 3158 1496 166 0 0 0 0 0 498 1163 1994 2493 2992 3324 3657 3823 3823 3491 2992 1994 997 0 0 0 0 0 0 411 549 549 274 137 0 137 274 549 823 823 686 411 137 0 0 0 137 411 823 1098 1510 1784 2059 2471 3020 3707 4256 4668 4393 3432 2334 1235 411 0 0 0 0 0 274 411 411 137 0 0 0 0 0 0 137 1235 3020 5354 7963 9611 9199 7139 4805 2883 1510 686 137 0 0 0 0 0 0 0 0 0 0 0 0 274 1510 3432 6041 8100 8238 6041 3432 1373 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4559 4053 3799 3799 3799 3293 2279 1266 0 0 0 0 0 1013 3293 5572 7092 6586 4559 2533 759 0 0 0 0 0 253 0 0 0 0 0 0 0 0 0 0 253 506 506 253 0 0 253 1013 2533 4813 7852 10132 10132 7599 4306 1519 0 0 0 0 0 0 0 506 3799 8612 14945 18492 16465 11145 6586 3799 2533 2533 3799 5572 7599 8359 7346 4559 1773 0 0 0 0 0 0 0 0 1519 3293 4559 4813 0 0 0 0 0 409 1776 3278 4508 4508 3142 1229 0 0 0 0 0 0 0 0 0 409 1366 1776 1502 956 546 136 0 0 273 546 956 1502 2322 3688 5464 7650 9289 9016 6830 4098 1912 409 0 0 0 0 0 0 0 0 273 819 1366 1912 2185 2185 1502 546 0 0 0 0 0 0 0 546 1776 2595 2595 1776 819 0 0 0 0 0 273 1092 2185 3688 5328 6830 7104 5601 3278 1092 0 0 259 727 1039 805 311 0 0 0 0 0 0 0 0 0 0 233 649 961 857 441 77 0 0 0 0 0 0 207 857 2078 2650 1403 363 0 0 0 0 0 0 0 0 0 0 25 311 493 493 389 285 259 259 337 415 441 441 363 311 259 285 389 545 727 779 701 493 311 181 103 51 0 0 0 0 0 0 0 0 0 0 0 103 623 909 597 181 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 48 68 68 55 35 19 9 9 16 25 38 45 48 51 58 81 123 200 304 356 278 155 64 16 0 0 0 0 0 0 0 6 12 16 16 16 12 9 3 0 0 0 0 6 19 38 55 61 55 35 16 0 0 0 0 0 0 0 0 0 19 55 100 136 136 93 48 16 0 0 0 0 9 19 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1169 3040 4443 3507 1169 0 0 0 0 0 0 0 0 0 467 3507 8184 14732 21047 22684 18474 12394 7249 3741 1169 0 0 0 0 0 0 0 0 0 0 1870 4677 6547 6547 5144 3741 3040 2806 3040 3507 3507 2338 467 0 0 0 0 0 0 0 0 0 0 0 1403 2104 2806 3040 3741 4443 5612 6547 6781 6080 4443 2572 467 0 0 0 0 0 0 0 0 0 0 2104 3507 2806 1403 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 131 360 623 688 492 240 65 0 0 0 0 0 0 109 251 404 459 393 273 164 98 54 43 32 32 32 10 0 0 0 0 0 0 0 10 43 65 65 43 32 21 32 87 174 306 393 371 229 76 0 0 0 0 0 0 32 153 338 524 623 546 382 240 153 109 98 109 120 120 98 65 32 10 10 0 0 0 0 0 0 0 0 32 65 65 21 0 0 0 331 1324 2538 3421 2869 1765 882 441 441 551 772 882 882 993 1324 2096 2869 2538 1103 0 0 0 0 0 0 0 0 0 0 0 331 551 551 220 0 0 0 0 0 0 0 0 0 0 0 0 1324 3641 4966 4083 2538 1434 882 662 772 1103 1765 2979 4855 7173 8387 7283 5186 3641 2869 2538 2207 1434 441 0 0 0 0 0 0 331 2648 3752 1655 0 0 0 0 0 0 0 0 0 703 1758 2180 1336 211 0 0 0 0 281 1266 2391 2884 2532 1688 914 281 0 0 0 0 0 0 0 0 70 281 633 1125 1758 2602 3165 2954 1899 844 0 0 0 0 0 70 1125 2884 4080 3025 1336 351 0 0 0 0 562 1125 1336 1055 492 0 0 0 0 0 0 0 0 70 562 984 1195 1195 1055 984 844 633 351 0 0 0 0 0 0 0 914 2532 3728 2954 1266 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 38 77 77 51 0 0 0 0 0 25 90 142 142 103 64 64 129 311 596 869 778 428 155 12 0 0 0 51 90 90 51 0 0 0 0 0 25 64 103 129 168 220 285 311 259 142 12 0 0 0 0 0 103 324 480 402 181 25 0 0 0 0 0 0 0 0 0 0 0 194 492 765 765 531 285 103 12 0 0 38 155 337 531 544 350 142 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5040 20160 31360 22400 8960 1120 0 0 0 0 0 0 560 3360 7280 11200 10640 4480 0 0 0 0 0 0 0 2800 3360 2240 560 0 0 1680 3920 6160 6160 4480 2800 1680 1120 1120 560 0 0 0 0 0 0 0 3920 18480 42000 48720 27440 9520 0 0 0 0 0 0 0 7280 35840 98561 76161 24080 4480 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2555 589 0 0 0 0 0 0 589 2162 2654 1474 98 0 0 0 0 0 0 0 589 1966 3538 4620 4522 3538 2162 884 0 0 0 0 0 0 0 196 884 1179 786 294 0 0 0 491 1081 1277 1081 589 98 0 0 98 393 786 1179 1769 2457 3047 3145 2654 1769 983 393 98 0 196 589 1081 1572 1671 1572 1277 1277 1572 2064 2261 1671 589 0 0 0 0 0 393 1867 3244 3932 4128 4325 4030 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2574 5451 4846 1514 0 0 0 0 0 1665 3028 3634 4694 7572 11963 9540 2423 0 0 0 0 0 0 0 1514 1362 0 0 0 0 0 0 0 0 0 151 302 454 454 605 908 1362 2120 2877 3483 3028 1665 0 0 0 0 0 0 0 0 908 3937 2725 0 0 0 0 0 0 908 4240 4088 1968 1060 1362 2725 4694 5906 5906 5754 6209 6966 6511 4391 1817 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 356 0 0 0 2138 6773 6416 2138 0 0 0 0 3208 7129 9268 8199 5703 3208 1425 356 0 0 1069 4277 8912 14616 17111 14972 9981 6060 3921 2851 2495 2495 3208 4634 6416 8555 8199 5347 1782 0 0 0 0 712 1782 1069 0 0 0 1069 4990 9625 10338 6416 2138 0 0 0 0 1069 5347 11764 16755 16042 11407 6773 4277 3208 3564 3921 4277 3921 3564 3208 3208 3208 2495 2495 3208 4634 6416 5347 2138 0 0 0 1425 2138 0 0 663 995 1216 2101 4976 9399 8183 2985 110 0 0 0 0 2432 6192 4976 1769 221 0 0 0 0 0 0 0 0 0 1105 2985 2764 1216 0 0 0 0 0 0 0 884 1769 1990 1105 110 0 0 0 0 0 552 442 0 0 0 0 0 0 774 2764 4091 1990 0 0 0 0 0 0 0 0 0 0 995 4644 6081 2432 0 0 0 0 1216 3538 5860 6524 4976 2653 552 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2546 20371 15278 2546 0 5092 25464 43289 35650 16551 3819 0 0 0 7639 22917 43289 50928 39469 25464 20371 24191 34376 45835 44562 33103 24191 20371 20371 20371 14005 3819 0 0 0 0 7639 19098 22917 15278 8912 8912 16551 28010 30557 16551 2546 0 0 0 8912 22917 22917 12732 2546 0 0 5092 15278 28010 35650 30557 19098 10185 7639 5092 1273 0 0 0 0 0 0 15278 25464 22917 17825 15278 14005 10185 7639 6366 10185 20371 26737 11458 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3931 5587 6001 4138 1241 0 0 0 0 1241 4552 4138 413 0 0 0 0 827 4345 6208 5380 4759 4966 5380 3518 827 0 0 0 0 620 3104 5173 4138 2276 1241 1862 3725 6415 6415 3311 827 0 0 0 0 620 1034 1655 2483 2690 1655 0 0 0 0 0 0 2483 2483 413 0 0 0 0 0 0 0 0 0 827 4138 6208 6622 7036 7863 8277 6829 5173 4552 7036 10347 7657 1241 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0