% 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 172 degrees 0 0 0 0 0 0 0 0 729 2127 4072 5774 5956 4558 2917 1641 850 364 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 668 2188 4193 6199 6624 5166 3342 1884 972 425 121 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9466 10795 11293 10795 9300 6975 4484 2325 498 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 166 332 664 996 1328 1992 2657 3487 4650 5812 6975 7805 8303 7971 6809 5148 3155 1494 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 166 332 664 996 1494 1992 2657 3653 4816 6144 7805 2064 2489 2853 3157 3218 3035 2610 2064 1457 850 425 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 121 182 303 425 607 850 1092 1396 1821 2246 2610 2975 3096 3035 2732 2246 1700 1153 667 303 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 60 182 242 364 485 607 789 1032 1335 1700 1976 1581 1129 677 225 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 56 169 225 338 395 508 621 734 903 1016 1185 1355 1581 1750 1920 2033 2146 2146 2033 1863 1581 1242 847 395 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 56 169 225 338 451 564 734 903 1129 1355 1581 1863 2089 2315 2484 2541 2484 2315 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39 118 198 237 316 356 396 435 475 475 514 514 554 594 594 594 633 633 673 673 673 712 712 712 712 673 673 633 594 554 514 475 435 396 356 356 396 435 475 554 633 712 752 792 831 871 871 871 871 831 831 792 792 752 712 712 673 673 633 594 594 554 514 475 475 435 396 316 277 198 118 39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2366 9466 17158 24850 31950 35500 34908 30767 25441 20116 14791 10650 7100 4733 2958 1183 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4733 11241 18933 27216 34317 39050 39642 36092 30175 23666 17750 13016 8875 5916 3550 1775 591 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 158 794 1589 2860 4290 6197 8263 10329 11918 12872 12872 11918 10488 8740 7151 5562 4290 3178 2383 1748 1112 794 317 158 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 794 1430 2065 2383 2701 2701 2542 2383 2224 1907 1589 1430 1112 953 794 635 476 317 158 158 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1255 1255 1196 1109 1021 875 729 583 437 321 204 116 58 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 29 29 58 58 58 87 87 87 116 116 116 116 116 116 87 87 58 29 0 0 0 0 0 0 29 58 87 116 145 175 233 262 262 291 321 350 379 379 408 437 467 496 525 554 583 612 642 700 729 788 846 904 963 1021 1109 1167 1196 1255 2999 2999 2918 2756 2594 2432 2189 2027 1783 1540 1378 1135 972 810 729 567 486 405 324 243 162 81 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 0 162 324 405 567 648 810 891 972 1054 1054 1135 1216 1297 1378 1378 1459 1540 1621 1783 1864 1945 2108 2189 2270 2432 2594 2675 2756 2918 2918 2999 48087 48087 45797 42744 37401 32058 26715 21372 16792 13739 10686 8396 6869 6106 5343 5343 5343 5343 5343 5343 5343 5343 5343 5343 5343 5343 5343 5343 5343 4579 4579 4579 3816 3053 2289 1526 763 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1526 2289 3816 6106 7632 9922 12975 16029 19845 23661 28241 32821 38164 42744 45797 50388 40940 31492 23094 15746 9447 4199 0 0 0 0 0 0 0 0 0 0 0 0 1049 2099 3149 4199 5248 5248 6298 6298 6298 6298 6298 5248 5248 4199 3149 2099 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1049 3149 5248 8398 11547 15746 19945 24144 30443 36741 43040 51438 58786 66134 72433 75582 76632 73483 68234 59836 643 1287 2483 4138 6898 10577 14532 16095 13704 9473 5886 3403 1839 827 183 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 154645 201398 251748 302097 341658 359640 352447 316483 269730 212187 161838 118681 82717 53946 35964 17982 7192 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7192 17982 28771 43156 61138 86313 115084 16362 23375 33505 45192 58439 72464 82594 86490 81035 69347 56101 42076 31167 21817 14804 10129 6233 3116 779 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1558 3895 7012 10908 9190 16542 27570 41355 61573 85467 109362 124985 122228 102929 78115 54221 35841 22056 12866 6433 1838 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 919 4595 9953 13271 16588 19537 22487 23961 23961 22855 20643 18063 15114 12533 9953 7741 6266 4792 3686 2949 2580 2211 1843 1474 1474 1474 1474 1474 1474 1843 1843 2211 2211 2580 2949 2949 3317 3686 4055 4423 4792 5160 5160 5529 5529 5529 5160 4423 3686 2949 1843 737 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1474 2949 4792 7004 112214 131665 148123 154107 145130 127176 101741 76305 53862 35908 20946 10473 1496 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1496 2992 4488 7480 10473 13465 19450 25435 32916 43389 55359 71817 89771 30889 58690 106569 179160 268741 307353 247118 157537 91124 49423 23167 7722 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3088 13900 36204 50954 69726 95203 123362 152862 170294 164930 139453 104590 71067 45590 25477 12068 2681 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1340 2681 5363 8045 12068 18772 26818 50854 76281 109336 155104 211044 272069 320380 328008 292410 231385 167818 114421 73738 45768 25427 10170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7628 17798 30512 106182 153374 212364 273713 311467 306748 261915 202925 143935 99103 63709 40113 21236 9438 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2359 11798 25955 44832 70788 230750 290574 341852 384583 427315 452954 478593 512778 546963 581148 615334 640972 632426 581148 495685 384583 264935 170926 94009 34185 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25638 68370 111101 170926 0 0 36204 132749 265498 458588 724086 1098197 1496445 1749875 1701603 1399900 1037857 724086 494792 325838 205157 120681 60340 24136 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 231553 289441 361802 448634 578883 738076 940685 1201183 1476153 1693234 1722178 1505097 1128823 767020 477578 260497 115776 28944 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28944 57888 101304 130248 188137 0 0 0 101892 280204 547672 980716 1604808 2165218 2216164 1744910 1197238 776931 496726 305677 178312 89156 38209 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7237 21711 43423 65135 108559 159221 224357 325679 455951 622410 817818 969801 998751 854004 629647 427002 267781 151983 79610 28949 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38888 77777 136111 204167 291667 388889 525001 690279 875002 1069447 1195836 1186113 1030558 787501 544445 350000 204167 106944 38888 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 47954 103900 167839 247763 351663 471549 591434 703327 775258 791243 751281 671358 575449 471549 375640 295717 223786 159847 103900 63938 31969 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15984 126530 189795 284693 411223 553570 727550 948978 1170406 1407651 1565814 1629079 1549998 1376018 1122957 869896 648468 458672 316326 205611 110714 31632 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 31632 63265 185423 189735 185423 176799 168174 159550 159550 163862 172487 189735 215608 241481 263042 280291 271667 245794 202672 150926 103492 60370 30185 8624 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4312 30185 60370 99180 133677 163862 95948 130596 167909 210552 250531 282513 293174 279848 242535 191896 143922 98613 63965 34647 15991 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2665 13326 29317 45308 69295 420432 439543 449098 458653 458653 458653 449098 439543 420432 401321 372656 343990 315324 286658 248437 210216 181550 143329 114663 85997 57331 38221 9555 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19110 38221 57331 85997 114663 143329 171995 200660 238882 277103 305769 343990 372656 391766 0 0 0 0 3531 10594 21189 35315 54738 79459 111243 150090 188936 215423 215423 190702 151855 113009 81225 56504 37081 24720 14126 7063 1765 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12103 24206 36309 48412 65357 79881 96825 113770 128293 140397 147659 150079 147659 140397 133135 121032 111349 99246 89563 79881 70198 60516 53254 48412 41150 36309 31468 26627 21785 19365 14523 12103 7261 4841 2420 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4841 16374 15205 15205 16374 16374 18714 21053 24562 30410 37428 45615 57312 70178 84214 95910 101758 99419 87723 70178 51464 35089 21053 11696 3508 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3508 5848 8187 11696 12866 15205 16374 16374 16374 16374 0 6214 18644 37289 62148 93222 136726 189552 254808 323172 369783 379105 341816 276560 211304 152263 105652 71470 46611 24859 12429 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38757 38757 38757 41037 41037 45596 50156 54716 61555 70675 82074 93473 107152 120832 129951 136790 136790 129951 116272 98033 79794 59276 43317 27358 15958 4559 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2279 9119 13679 18238 25078 29638 34197 36477 38757 41037 41037 41037 41037 41037 7155 8348 10733 13118 15504 17889 21467 25045 28623 34586 40549 46512 54861 63209 72750 81099 88255 91832 90640 84677 75136 63209 50090 36971 26237 17889 9541 3577 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2385 3577 4770 20546 25381 30215 35050 38675 43510 48344 53179 58013 62848 66474 70100 71308 70100 68891 64057 59222 53179 45927 39884 33841 27798 22963 18129 14503 10877 7251 4834 2417 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1208 4834 8460 12086 16920 0 0 0 0 0 0 6238 14555 24952 39507 58222 85253 118523 162190 207936 245364 259920 239126 197539 149713 106047 72777 47825 27031 14555 2079 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6711 16778 26846 40269 57048 77182 100672 127519 154365 184567 214769 238259 251682 258393 251682 238259 214769 191278 161076 137586 110740 90605 70471 53692 36913 23490 13423 3355 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3201 6402 11738 16007 20275 25611 29880 33081 36283 38417 39484 40551 40551 39484 39484 38417 37350 37350 36283 35216 34148 34148 33081 32014 30947 28813 27746 26678 24544 23477 21343 20275 18141 17074 14940 13873 12805 10671 9604 8537 7470 5335 4268 3201 1067 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 493 986 1479 1973 2466 3453 3946 4933 5919 6906 7893 9373 10359 11839 13320 14800 16773 18253 19733 21213 22200 23186 24173 24173 24173 23186 22200 20719 19240 17266 15293 13320 11839 9866 8386 6906 5919 4933 3946 3453 2466 1973 1973 1479 986 986 986 493 493 493 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 621 2485 3727 5591 8076 9940 12425 14288 16773 18637 20501 21743 22986 23607 24228 24850 24850 24850 24850 24850 24850 24850 24228 23607 22986 21743 20501 19258 18016 16152 14288 12425 10561 9318 7455 6212 4970 3727 2485 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10628 11957 14614 16607 19265 21922 24579 27236 29894 31886 33215 33879 34544 33879 32551 30558 28565 26572 24579 21922 19929 17936 15943 13950 11957 9964 8636 6643 5314 3321 1992 664 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 664 1328 1992 2657 3321 3985 4650 5978 7307 8636 1067 3201 5336 7470 9604 12806 15474 18676 21878 25079 28281 30949 33083 34684 34684 34684 33083 30949 28281 25079 21878 18676 15474 12806 10138 7470 5869 3735 2134 1067 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8930 9287 9287 9287 8930 8930 8573 8215 7858 7501 7144 6786 6786 6786 6786 6786 6786 7144 7144 7501 7501 7858 7858 7858 7501 7144 6786 6072 5358 4643 3929 2857 2143 1428 714 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 357 714 1428 1786 2143 2857 3214 3572 3929 4286 4643 5000 5358 5715 6072 6429 6786 7144 7501 7858 8215 8573 8573 8930 5593 7871 10357 13257 16157 18643 19886 19886 18436 16157 13464 10979 8493 6628 4971 3728 2485 1657 1035 414 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1035 2278 3728 2685 3152 3502 3736 3969 4203 4320 4553 4903 5254 5721 6304 6771 7238 7355 7238 6771 5954 5020 4086 3152 2335 1634 1050 467 116 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 0 0 0 0 0 0 0 0 0 467 1050 1517 2101 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27317 29079 29961 29961 29961 28198 26436 23792 21149 18505 15861 13218 11455 9693 7930 6168 5287 4406 2643 1762 881 881 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 881 2643 4406 6168 7930 9693 12336 14980 17624 20267 22030 23792 25555 25555 25555 24673 22911 21149 18505 15861 14099 11455 9693 7930 6168 5287 4406 4406 4406 4406 5287 6168 7930 9693 12336 14980 17624 20267 22911 25555 11052 11902 12753 12753 12753 12753 11902 11052 10202 8502 6801 5101 3400 850 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 850 2550 3400 5101 6801 8502 11052 13603 16154 19554 22955 26356 30607 34008 36559 39109 40810 40810 39959 38259 35708 31457 28056 24656 21255 18704 16154 14453 12753 11902 11052 10202 10202 10202 10202 11052 0 0 0 0 0 103 155 259 363 519 623 779 934 1090 1298 1454 1610 1766 1921 2025 2077 2129 2077 2025 1921 1818 1662 1506 1350 1142 986 831 623 467 363 207 103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 155 259 415 519 623 779 883 986 1038 1090 1142 1142 1090 1038 934 831 727 623 467 363 259 155 51 0 0 0 0 0 0 0 2054 4109 6163 8218 11300 13355 16437 20546 24655 28765 33901 39038 44175 49311 53421 57530 59585 59585 58557 56503 51366 47257 41093 35956 29792 24655 20546 16437 13355 10273 8218 6163 5136 4109 3081 3081 3081 3081 3081 4109 4109 5136 5136 5136 5136 5136 5136 4109 4109 3081 2054 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1027 2738 2934 3032 2934 2934 2738 2543 2445 2249 2151 2054 2054 2054 2249 2445 2738 3032 3423 3716 4108 4303 4303 4206 3814 3325 2738 2151 1662 1075 684 293 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 97 195 195 293 391 586 782 978 1173 1467 1760 2054 2347 2543 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12064 10341 8617 6894 5170 2585 861 0 0 0 0 0 0 0 0 0 0 0 2585 6894 11203 17235 24991 33609 43950 53430 62047 65494 63771 56877 46535 35332 25853 17235 10341 4308 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1723 3447 5170 6032 6894 7755 7755 8617 9479 9479 10341 10341 11203 12064 12926 13788 13788 14650 14650 14650 14650 13788 12926 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 866 1948 3031 4546 6495 8444 10826 13424 15589 17321 17971 17538 16022 14073 11692 9527 7794 6062 4980 3897 3031 2598 2165 1732 1515 1515 1299 1299 1299 1299 1299 1299 1082 1082 866 433 216 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 681 2045 4091 5455 7500 9546 11592 13637 15683 18411 20456 23184 25911 27957 30685 32730 34776 36822 37504 38185 38185 36822 35458 32730 29321 25911 22502 18411 15001 11592 8182 5455 3409 1363 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 618 1856 3093 4331 5568 6806 8044 8662 8662 8662 8044 7425 6187 4331 3093 1237 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 618 1856 3093 3712 4950 5568 6187 6187 6187 6187 6187 6187 6187 6806 7425 8044 9281 10519 12375 14850 18563 22275 27225 32176 37745 42076 44551 43314 39601 32794 25369 17325 11137 5568 1237 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1436 5744 11488 17232 24412 33028 41644 51696 60312 67492 71801 73237 70364 63184 53132 43080 33028 22976 14360 8616 1436 0 0 0 0 0 0 0 0 0 0 0 0 0 4308 10052 17232 22976 31592 38772 44516 50260 54568 56004 54568 51696 47388 41644 34464 28720 22976 17232 12924 8616 5744 2872 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12476 29111 49904 79015 114364 149713 178824 187142 170507 141396 108126 79015 54063 35349 22872 12476 4158 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2079 4158 8317 14555 20793 29111 37428 47825 56142 64460 70698 68618 64460 54063 43666 31190 20793 10396 2079 0 0 0 0 0 0 12859 12145 11787 11430 11073 10359 9644 8930 8215 7501 6429 5715 4643 3929 2857 2143 1428 714 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 714 1071 1786 2857 3929 5000 6429 7858 9644 11073 12502 13573 14645 15360 15717 15717 15717 15360 15002 14288 13931 13216 11664 8748 5103 2187 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3645 8748 14580 21141 28430 34263 37908 37908 34263 28430 21870 16037 10206 5832 2187 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 729 1458 2916 4374 6561 8748 12393 16037 19683 24057 27702 30618 32805 33534 32805 31347 28430 25515 21870 18954 15309 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3386 10160 20321 31610 47416 64350 81285 92574 94832 88058 75640 62092 48545 37255 28224 21450 15805 11289 7902 4515 2257 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2257 5644 10160 15805 22579 29352 34997 37255 36126 31610 24837 16934 9031 3386 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14826 51892 96371 133437 163090 177917 177917 163090 133437 103784 74132 51892 29652 7413 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7413 14826 29652 44479 66718 96371 133437 185330 244635 326181 415139 511511 600470 644949 637536 570817 474445 363247 266875 185330 118611 66718 29652 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10576 15864 18508 21152 23796 26440 29084 31728 37016 42304 47592 52881 58169 60813 63457 63457 60813 55525 47592 39660 29084 15864 5288 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2644 21152 42304 66101 95185 121626 142778 153354 150710 140134 124270 108406 92541 76677 66101 58169 52881 47592 42304 39660 37016 34372 29084 23796 18508 10576 2644 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5288 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 81143 202859 365147 527435 689722 872296 1014298 1115728 1176585 1136013 1054870 933154 791152 628864 466577 324575 202859 101429 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 40571 101429 182573 284003 405719 527435 649150 750580 811438 811438 750580 669436 568006 466577 365147 284003 223145 182573 142001 121715 81143 81143 60857 40571 20285 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 291599 291599 291599 274446 257293 240140 240140 240140 257293 274446 308752 360210 411669 463128 514587 548892 600351 617504 617504 600351 566045 514587 445975 360210 257293 171529 85764 17152 0 0 0 0 0 0 0 0 0 0 17152 85764 171529 240140 325905 394516 445975 463128 463128 428822 377363 325905 274446 222987 171529 120070 85764 51458 17152 0 0 0 0 0 0 0 34305 51458 85764 120070 137223 154376 154376 137223 137223 102917 85764 68611 34305 17152 0 0 0 0 17152 34305 68611 102917 137223 188681 240140 274446 0 0 0 0 0 0 0 0 33160 66321 99481 116061 132642 116061 99481 82901 49740 33160 16580 0 16580 33160 82901 149222 232123 348185 497408 646630 795852 895334 895334 812433 679791 513988 348185 215543 99481 16580 0 0 0 0 0 0 0 0 0 16580 49740 99481 132642 165802 198963 232123 232123 248704 248704 232123 198963 182382 132642 99481 49740 16580 0 0 0 0 0 0 0 0 0 0 0 49740 149222 265284 381346 513988 630050 712951 729531 679791 596889 464247 348185 215543 116061 49740 0 0 0 58556 156150 273263 390376 527007 644120 741714 819789 878346 878346 878346 819789 741714 624601 487970 331819 195188 58556 0 0 0 0 0 0 0 0 0 0 0 0 0 0 58556 156150 273263 390376 468451 507488 507488 468451 429413 351338 292782 253744 195188 175669 156150 136631 136631 117112 117112 117112 97594 78075 58556 39037 19518 0 0 0 19518 39037 97594 175669 273263 390376 527007 624601 644120 585564 468451 312300 156150 39037 0 0 0 0 0 0 0 0 0 0 0 0 0 129891 112178 100370 88562 76753 76753 70849 76753 82658 88562 94466 106274 118082 123987 129891 135795 135795 135795 141699 141699 141699 147603 153507 159411 159411 153507 135795 118082 94466 70849 47233 23616 5904 0 0 0 0 0 0 0 0 0 11808 23616 41329 53137 64945 76753 76753 82658 76753 70849 70849 64945 59041 59041 59041 59041 64945 64945 70849 70849 70849 64945 59041 47233 35424 23616 11808 0 0 0 0 0 0 0 0 0 0 0 0 5904 23616 47233 76753 100370 118082 135795 141699 135795 5263 3508 1754 584 0 0 0 0 0 0 0 292 877 1754 2631 3508 4386 5263 5848 6433 7017 7310 7602 8187 8772 9064 9357 9357 8772 7602 6140 4678 2924 1462 292 0 0 0 0 0 0 0 0 0 877 1754 2924 3801 4386 4970 4970 4970 4970 4970 4970 4970 5263 5263 5555 5263 4970 4386 3508 2631 1754 877 0 0 0 0 0 0 0 0 0 0 0 0 0 0 877 2339 3801 5555 7310 8772 9649 9649 8772 7017 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 201084 265066 319907 365608 393029 411309 411309 383888 347327 301626 246785 191944 146243 109682 73121 45701 18280 9140 0 0 0 9140 27420 45701 73121 100542 118822 127962 137103 137103 137103 127962 109682 100542 91402 73121 73121 63981 54841 54841 45701 36560 27420 9140 0 0 0 0 0 0 0 0 0 0 27420 73121 118822 164523 228505 274206 319907 329047 319907 283346 237645 173663 127962 82261 45701 18280 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18280 54841 91402 146243 33203 45654 56030 64331 68481 68481 64331 60181 53955 49805 43579 41504 37353 35278 33203 33203 31128 31128 29052 24902 20752 16601 10376 4150 0 0 0 0 0 0 0 0 0 0 0 8300 18676 31128 43579 53955 62256 64331 58105 49805 39428 26977 16601 10376 4150 0 0 0 0 0 0 0 0 0 2075 6225 8300 14526 18676 24902 31128 39428 47729 53955 60181 62256 62256 56030 45654 35278 22827 12451 2075 0 0 0 0 0 0 0 0 0 0 0 8300 20752 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1384990 1163391 941793 775594 609395 498596 443196 443196 443196 498596 609395 664795 775594 886393 997192 1107992 1274190 1440389 1551189 1661988 1717387 1606588 1329590 997192 553996 166198 0 0 0 0 0 0 0 0 0 0 0 0 0 110799 443196 830994 1163391 1440389 1606588 1717387 1661988 1551189 1384990 1163391 997192 775594 609395 443196 332397 221598 110799 55399 0 0 55399 110799 221598 387797 609395 886393 1107992 1274190 1274190 1107992 830994 498596 166198 0 0 0 0 0 0 0 0 0 0 0 55399 443196 830994 1218791 1440389 1495789 0 0 93909 281728 469548 657367 845186 1033006 1220825 1502554 1784283 2066012 2347741 2535560 2535560 2347741 1972102 1502554 939096 469548 0 0 0 0 0 0 0 375638 751277 1126915 1502554 1784283 1972102 2066012 1972102 1878193 1690373 1408644 1126915 845186 563457 281728 93909 0 0 0 0 0 0 187819 375638 657367 845186 1033006 1220825 1408644 1502554 1502554 1502554 1408644 1220825 1033006 751277 563457 375638 93909 0 0 0 187819 469548 939096 1502554 2253831 3005108 3662476 4132024 4225934 3944205 3380747 2629470 1878193 1220825 657367 187819 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 123636 247273 353248 441560 512209 547534 582859 600521 600521 600521 582859 512209 423897 317923 176624 52987 0 0 0 0 0 0 0 0 0 0 0 0 0 141299 335585 618184 918445 1112731 1059744 794808 494547 247273 88312 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17662 176624 423897 741821 1059744 1112731 865458 512209 229611 35324 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1325843 497191 0 0 0 0 0 0 0 165730 497191 662921 994382 1160112 1160112 1325843 1325843 1160112 1160112 1325843 1491573 1823034 2154495 2651686 2817416 2651686 2154495 1160112 331460 0 0 0 0 0 0 0 0 0 0 662921 1491573 2320225 3148877 3977529 4640451 5303373 5634833 5634833 5303373 4474721 3646069 2817416 1988764 1325843 994382 662921 497191 662921 994382 1491573 2154495 2983147 4143260 5137642 5800564 5800564 5303373 4308990 3480338 2485956 1823034 1160112 497191 0 0 0 0 0 0 0 0 165730 1325843 2817416 4474721 5800564 6132025 5469103 4143260 2651686 382112 191056 382112 573169 764225 764225 764225 573169 382112 191056 0 0 0 0 0 0 0 0 0 0 0 0 191056 573169 955282 1337394 1910564 2674789 3439015 4203241 4776410 5158523 5349579 5158523 4585353 4012184 3056902 2292676 1528451 764225 382112 0 0 0 0 191056 764225 1528451 2483733 3247958 4203241 4776410 5158523 4967466 4776410 4203241 3630071 2865846 2292676 1719507 1146338 764225 382112 0 0 0 0 0 0 0 0 0 191056 573169 1146338 1910564 3056902 4394297 6113805 8024369 9552820 10317046 10317046 8979651 7260143 5349579 3630071 2101620 1146338 573169 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 779878 1843349 3332208 4466577 4395679 3119514 1630655 567184 0 0 0 0 0 0 0 0 0 0 0 141796 708980 1347063 1914247 2126941 1914247 1559757 1134368 850776 638082 496286 425388 425388 496286 567184 708980 850776 992572 1205267 1488859 1843349 2339636 2835922 3190412 3332208 2835922 2056043 1134368 354490 0 0 0 0 0 0 0 0 0 0 0 0 354490 1134368 1914247 2410534 2268737 1630655 921674 283592 1592664 2027027 2461390 2750966 3040541 3185329 3040541 2895754 2461390 2171815 1737452 1447877 1158301 868726 723938 579150 579150 723938 1013513 1447877 2171815 3185329 4343631 5067569 5212357 4488418 3185329 1882240 723938 0 0 0 0 0 0 723938 1737452 3040541 4488418 5646720 6225871 5936295 5212357 4198843 3330117 2606178 2027027 1737452 1447877 1303089 1013513 868726 579150 434363 144787 0 0 0 0 144787 434363 868726 1447877 2171815 2606178 2895754 2750966 2316603 1592664 868726 434363 0 0 0 0 0 0 0 144787 144787 144787 289575 434363 579150 723938 723938 868726 1013513 1158301 1303089 136874 0 0 0 0 0 0 0 0 0 0 0 0 0 0 45624 45624 91249 91249 136874 228124 319374 501874 684374 958124 1186248 1323123 1323123 1140624 821249 501874 182499 0 0 0 0 0 0 0 0 0 228124 547499 821249 1094999 1186248 1186248 1049374 866874 684374 547499 456249 410624 364999 364999 364999 410624 456249 501874 638749 729999 866874 1049374 1231873 1368748 1505623 1505623 1459998 1277498 1049374 821249 547499 319374 136874 0 0 0 0 0 0 136874 364999 729999 1094999 1414373 1642498 1596873 1368748 958124 547499 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1953747 3256245 3907494 4558743 4558743 3907494 2604996 1302498 0 0 0 0 0 0 0 0 0 0 651249 4558743 8466237 13676229 18234972 21491217 20839968 18234972 13024980 8466237 5209992 2604996 651249 0 0 0 0 651249 1953747 3256245 4558743 7163738 9768735 13676229 17583723 22142466 26701209 29306205 29957453 29306205 26701209 24096213 21491217 18886221 16281225 14978726 13024980 11722482 9768735 7814988 5209992 1953747 0 0 0 0 0 0 0 0 0 0 3256245 9768735 17583723 24096213 26049960 21491217 13676229 5209992 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28983409 57966818 84051886 107238613 118831976 124628658 121730317 113035295 98543590 86950227 75356863 69560181 66661840 72458522 84051886 101441931 115933636 121730317 113035295 92746908 66661840 40576772 20288386 8695022 0 0 0 0 0 8695022 20288386 31881749 46373454 57966818 63763499 57966818 43475113 28983409 14491704 2898340 0 0 0 0 0 0 0 0 0 2898340 2898340 2898340 5796681 8695022 11593363 14491704 17390045 23186727 28983409 34780090 34780090 31881749 23186727 8695022 0 0 0 0 0 0 0 0 0 2898340 26085068 52170136 69560181 63763499 43475113 14491704 0 0 0 0 0 0 0 0 0 2898340 47275152 44494261 38932478 33370696 30589804 30589804 33370696 36151587 41713370 50056044 58398718 63960500 66741392 66741392 61179609 52836935 41713370 30589804 22247130 16685348 16685348 19466239 25028022 30589804 33370696 30589804 27808913 22247130 16685348 13904456 13904456 13904456 16685348 16685348 16685348 16685348 13904456 11123565 8342674 11123565 13904456 16685348 25028022 33370696 38932478 41713370 41713370 38932478 33370696 30589804 25028022 22247130 19466239 19466239 16685348 13904456 11123565 8342674 5561782 5561782 5561782 11123565 16685348 25028022 36151587 44494261 50056044 50056044 47275152 38932478 33370696 27808913 27808913 33370696 38932478 47275152 55617826 55617826 52836935 47275152 38932478 30589804 25028022 22247130 22247130 27808913 33370696 41713370 47275152 50056044 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8120248 16240496 21653994 23007369 21653994 18947245 16240496 14887121 13533746 14887121 17593870 23007369 28420868 35187741 40601240 43307989 41954615 36541116 28420868 18947245 9473622 2706749 0 0 0 0 0 0 1353374 6766873 13533746 20300620 24360744 24360744 18947245 12180372 6766873 1353374 0 0 0 0 1353374 4060124 6766873 10826997 16240496 23007369 29774243 37894491 44661364 48721488 48721488 46014739 39247865 32480992 25714118 21653994 18947245 17593870 18947245 20300620 23007369 24360744 23007369 17593870 12180372 5413498 0 0 0 0 0 0 0 2706749 10826997 17593870 23007369 23007369 17593870 9473622 1353374 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75128508 165282718 270462630 375642542 465796752 525899559 570976664 570976664 540925260 495848155 435745349 360616840 285488332 195334121 105179911 0 0 0 0 0 0 0 0 60102806 210359823 345591138 435745349 420719647 300514033 135231315 15025701 0 0 0 0 0 0 15025701 90154210 165282718 225385525 270462630 285488332 255436928 210359823 150257016 105179911 60102806 45077105 30051403 15025701 15025701 15025701 15025701 15025701 30051403 30051403 60102806 90154210 120205613 165282718 195334121 225385525 240411227 240411227 225385525 195334121 150257016 90154210 45077105 0 0 0 15025701 90154210 210359823 375642542 555950962 646105172 616053769 480822454 330565437 180308420 75128508 0 0 0 92201143 57076898 30733714 13171591 4390530 0 0 0 0 0 0 0 0 0 0 0 0 0 21952653 52686367 100982205 158059103 215136002 254650778 245869716 193183348 127325389 61467429 17562122 0 0 0 0 0 17562122 57076898 96591674 118544327 118544327 92201143 57076898 30733714 8781061 0 0 0 0 0 0 4390530 8781061 8781061 13171591 17562122 17562122 26343183 30733714 30733714 35124245 30733714 26343183 21952653 13171591 8781061 4390530 0 0 4390530 13171591 26343183 43905306 74639021 109763266 144887511 158059103 136106450 92201143 43905306 8781061 0 0 0 4390530 39514775 92201143 149278042 197573879 206354940 180011756 136106450 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16869916 50609750 84349584 101219501 109654460 101219501 84349584 50609750 25304875 0 0 0 0 0 0 0 0 0 50609750 160264211 303658505 430182882 421747924 278353630 118089418 8434958 0 0 0 0 0 33739833 126524377 244613796 345833298 345833298 261483713 160264211 75914626 16869916 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16869916 84349584 177134128 295223547 404878007 396443049 286788588 143394294 42174792 0 0 0 0 0 59044709 227743879 480792633 674796679 590447094 354268256 160264211 33739833 0 0 56730592 48221003 42547944 39711414 36874885 34038355 31201826 22692237 17019177 11346118 11346118 11346118 14182648 19855707 25528766 28365296 34038355 34038355 34038355 36874885 39711414 45384474 53894063 62403652 68076711 65240181 56730592 42547944 28365296 17019177 8509588 5673059 5673059 14182648 25528766 34038355 42547944 42547944 36874885 28365296 19855707 11346118 8509588 5673059 8509588 11346118 14182648 19855707 25528766 28365296 31201826 34038355 34038355 31201826 28365296 28365296 25528766 22692237 22692237 25528766 28365296 28365296 31201826 34038355 34038355 34038355 31201826 28365296 25528766 25528766 28365296 31201826 36874885 42547944 42547944 42547944 34038355 25528766 14182648 8509588 8509588 14182648 22692237 34038355 48221003 62403652 73749770 76586300 73749770 65240181 127317088 167103679 198932951 230762223 246676859 246676859 238719541 230762223 222804905 214847587 222804905 230762223 246676859 262591495 270548813 262591495 254634177 230762223 214847587 183018315 159146361 119359770 79573180 39786590 7957318 0 0 7957318 39786590 87530498 127317088 143231725 127317088 95487816 55701226 23871954 0 0 0 0 15914636 23871954 39786590 47743908 55701226 55701226 47743908 31829272 23871954 15914636 15914636 7957318 7957318 7957318 7957318 15914636 15914636 15914636 23871954 23871954 23871954 31829272 31829272 39786590 55701226 71615862 87530498 103445134 103445134 87530498 63658544 39786590 15914636 7957318 15914636 31829272 63658544 103445134 143231725 167103679 159146361 127317088 87530498 39786590 7957318 0 0 15914636 47743908 87530498 332798685 363053111 393307537 393307537 302544259 211780981 60508851 0 0 0 0 0 30254425 90763277 151272129 211780981 302544259 393307537 453816389 514325241 544579667 544579667 544579667 544579667 544579667 514325241 484070815 423561963 363053111 302544259 272289833 272289833 302544259 332798685 393307537 423561963 453816389 453816389 423561963 363053111 332798685 272289833 242035407 211780981 242035407 302544259 423561963 514325241 605088519 635342945 605088519 544579667 484070815 453816389 423561963 393307537 393307537 393307537 423561963 453816389 544579667 635342945 695851797 726106222 695851797 635342945 514325241 423561963 332798685 272289833 211780981 211780981 211780981 211780981 242035407 272289833 302544259 272289833 211780981 121017703 60508851 0 0 30254425 90763277 181526555 242035407 302544259 302544259 302544259 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 519627031 89752538 -1371820740 1461573278 429874493 0 0 0 0 0 0 0 0 0 0 0 0 687799189 1977422670 -598046652 863526626 433652133 -1457795639 945723885 0 0 0 0 0 0 0 601824290 -2059619930 -941946247 -1973645031 773774088 0 0 0 0 0 0 0 601824290 1547548176 -1801695234 -1457795639 -1887670133 1719497974 1203648581 773774088 429874493 257924696 85974898 0 0 0 0 0 0 257924696 601824290 1203648581 1891447771 -1801695234 -1715720335 -2145594829 1289623480 429874493 0 0 0 0 0 0 0 515849392 -1973645031 -426096854 -1371820740 859748987 0 0 0 0 0 0 0 1461573278 -769996449