% Directional Spectrum % 90 Directions and 128 Frequencies % Units are mm/sqrt(Hz) per degree % Frequency Bands are 0.00781250 Hz % The first direction slice begins at 165 degrees 0 0 0 0 0 92 276 461 645 1014 1291 1660 2121 2490 2952 3321 3597 3690 3782 3690 3413 3136 2767 2398 2029 1660 1291 1014 738 461 276 92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 184 461 830 1199 1568 2029 2398 2675 2952 3044 3136 3044 2859 2675 2398 2121 1845 1568 1291 1014 830 645 461 276 184 92 0 0 0 0 0 0 0 0 0 1827 2350 2872 3394 3917 4439 4961 5222 5483 5744 5744 5483 4961 4439 3917 3133 2350 1827 1305 783 261 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 261 522 1044 1566 2089 2611 3394 4178 4961 6006 7050 8095 9139 10184 11228 12012 12273 12534 12273 11489 10445 9400 8095 6789 5483 4178 3133 2089 1305 783 261 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 261 522 1044 1305 1771 1265 759 253 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 253 506 506 759 759 759 759 759 506 506 506 253 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 759 1518 2530 3289 4555 5567 6832 8098 9363 10628 11640 12400 12906 13412 13412 13412 12906 12400 11640 10881 9869 9110 8098 7338 6326 5567 4808 4049 3542 2783 2277 4373 4373 4373 4175 3777 3379 2783 2186 1391 795 198 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 397 795 1391 1988 2783 3578 4373 5367 6361 7554 8548 9542 10338 10735 10934 10735 9940 8946 7753 6560 5367 3976 2982 1988 994 397 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 397 795 1192 1590 1988 2385 2982 3379 3777 4175 1918 1918 1918 1918 1918 2092 2092 2267 2267 2441 2616 2790 3139 3313 3662 3837 4185 4360 4709 4883 5058 5232 5232 5232 5232 5058 4883 4709 4360 4011 3837 3488 3139 2790 2441 2092 1918 1569 1220 1046 697 523 348 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 174 348 697 872 1046 1220 1395 1569 1744 1918 1918 2092 2092 2092 2092 2092 2092 2092 2092 2092 2092 2092 2092 1918 1918 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 234 936 1638 2340 3277 4213 5384 6320 7256 8193 9129 9831 10299 10768 10768 10768 10534 10065 9597 8895 8193 7490 6788 6086 5384 4681 3979 3511 2809 2340 1872 1638 1170 936 702 468 468 234 234 234 234 468 468 702 936 1170 1404 1638 1872 2106 2340 2340 2340 2340 2340 2106 2106 1872 1638 1404 1170 702 468 234 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10692 11987 12636 13284 13608 13284 12960 11664 10368 9072 7452 5832 4212 2916 1620 324 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 648 1296 2268 2916 3888 4860 5832 6804 7776 8748 9396 9720 9720 9720 9072 8424 7452 6480 5508 4212 3240 2268 1620 972 324 0 0 0 0 0 0 0 0 0 0 0 0 0 0 648 972 1620 2268 3240 3888 4860 6155 7127 8424 9720 3826 7653 11480 18177 25831 35398 47836 61230 73667 81321 79408 68884 53576 37312 23918 12437 4783 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 956 5740 12437 18177 24874 30615 33485 34442 32528 28701 23918 19134 15307 10523 7653 4783 1913 956 0 0 0 0 0 0 0 0 0 0 0 0 1913 127163 185854 259217 347253 440181 523326 562453 547780 484199 391272 298344 215199 151617 97818 58690 29345 4890 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4890 24454 48909 83145 87659 131489 183053 244931 299074 324856 304230 255244 195945 144380 103128 72190 48986 30938 18047 10312 2578 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5156 18047 33516 56720 58718 70083 83342 94707 104177 113648 119331 119331 117436 113648 104177 94707 85236 73871 64400 54930 45459 37882 32200 26518 20835 17047 15153 11364 9470 7576 5682 5682 3788 3788 3788 1894 1894 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3788 9470 15153 22729 30306 39777 49247 126817 131890 130199 123435 111599 99763 84545 71017 59181 49036 38890 30436 23672 18599 13527 10145 6763 3381 1690 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1690 6763 13527 21981 32127 43963 55799 71017 87926 103144 116672 90107 107270 123003 133015 134445 125863 111561 92967 74374 57210 42908 31465 21454 12872 7151 2860 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1430 5721 10011 15732 22884 31465 42908 57210 72943 13785 18380 22975 28489 34003 39517 45031 48707 52383 54221 54221 52383 50545 46869 43193 38598 34003 30327 25732 22056 19299 16542 13785 11947 10109 8271 7352 6433 5514 4595 3676 3676 3676 2757 2757 2757 2757 2757 2757 2757 2757 1838 1838 1838 919 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2757 6433 10109 36589 55755 81891 113254 149844 184691 205600 205600 181206 146359 111511 81891 57498 40074 26135 15681 6969 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3484 12196 22650 13396 33490 60283 100471 160754 247830 368396 495661 549245 478915 344953 224387 137311 80377 40188 16745 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 69747 127869 215053 337110 494041 668409 802090 819527 709094 546351 389420 261551 168555 104620 52310 17436 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23249 64110 176303 352606 609047 1009736 1570700 2275913 2708657 2500299 1859196 1234122 769322 464799 272468 128220 32055 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 762125 857391 1016167 1206699 1492496 1937069 2572174 3461321 4382223 4540999 3556586 2191111 1143188 476328 95265 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 31755 158776 285797 412818 539839 635104 1353412 1804550 2345915 2977508 3654214 4285807 4782058 4917399 4556489 3834669 2977508 2120346 1398526 857161 451137 135341 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 135341 270682 496251 721820 1037616 820945 1354560 2011317 2709121 3447972 3940540 4063682 3776351 3242736 2627027 2052364 1559797 1190371 861993 615709 451520 328378 205236 123141 82094 41047 0 0 0 41047 41047 82094 123141 123141 205236 246283 287331 328378 369425 410472 451520 451520 451520 410472 328378 287331 205236 82094 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 123141 451520 247007 406835 639312 958968 1365804 1772639 2034176 1961527 1627340 1205975 842730 566663 363245 217947 116238 43589 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 43589 130768 381969 625041 920199 1267444 1579964 1788311 1805674 1666776 1441066 1197995 972286 781301 625041 503505 399331 312520 260433 190984 156260 104173 69449 34724 17362 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 52086 190984 0 70567 239928 536310 1044394 1848860 2653326 2667440 1947654 1241982 762125 479856 296382 183474 98794 42340 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 230006 303190 397283 501832 637744 794567 951390 1076848 1118667 1066393 909570 710928 522741 355464 219551 115003 41819 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20909 31364 62729 94093 125458 177732 457172 663637 914345 1179800 1401012 1518992 1489497 1342022 1120810 884850 693132 530910 398182 309697 235960 176970 132727 103232 88485 73737 73737 73737 73737 58990 58990 58990 58990 44242 29495 14747 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 58990 162222 280202 646805 540715 369603 239557 157423 102667 68445 47911 30800 20533 13689 6844 3422 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30800 85556 177957 335380 544137 145754 212385 299837 391454 478907 528880 520551 453921 353975 254029 170740 104110 58301 24986 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20822 49972 91617 733738 880485 1027233 1144631 1232680 1291379 1276704 1203330 1071257 895160 719063 542966 396218 264145 161422 73373 14674 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 44024 132072 220121 322844 454917 586990 117483 133148 156645 195806 266296 383780 563922 853715 1198334 1307985 979031 556089 266296 101819 7832 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23496 54825 86154 109651 117483 117483 117483 117483 173254 247506 346508 482637 643516 866272 1113778 1373659 1534539 1509788 1299408 990025 680642 445511 272256 136128 49501 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37125 74251 111377 494100 550800 591300 607500 607500 599400 583200 550800 502200 437400 364500 283500 210600 137700 72900 24300 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32400 81000 129600 194400 267300 348300 429300 196020 245025 294030 362637 441045 539055 666468 803682 940896 1048707 1048707 931095 735075 519453 333234 196020 98010 19602 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9801 39204 78408 107810 147015 240435 286970 333506 364530 395554 434334 465358 504138 550674 589453 612721 604965 558429 473114 364530 255947 162875 85315 31023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7755 46535 85315 139607 186143 613881 631420 622650 605111 587571 552492 517414 482335 438486 377098 324480 263091 201703 140315 96467 52618 17539 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8769 61388 131545 219243 315710 412177 508644 578802 156806 152568 144092 144092 148330 165282 194948 241566 305136 385658 449229 440753 347516 228852 127140 59332 12714 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8476 38142 76284 114426 139854 156806 175848 277655 407227 573821 740414 897752 981049 971793 879242 740414 601586 481269 379462 296165 231379 175848 129572 92551 64786 37020 9255 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37020 92551 318466 291012 269049 247086 230614 219632 214141 208650 208650 203159 192178 181196 159233 131779 104325 71380 43926 16472 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10981 49417 93343 148251 214141 274540 329448 356902 356902 345921 220604 244454 280227 310039 345813 381587 411398 441209 447172 435247 399473 345813 274265 202718 137132 83472 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11924 29811 41736 59622 83472 101359 119245 143095 166944 190793 89434 98378 104340 110302 116265 125208 131171 143095 152039 163963 169926 175888 178869 172907 160982 143095 125208 104340 83472 62604 44717 29811 14905 2981 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11924 23849 38755 53660 68566 80491 996689 933905 753402 572900 431637 329613 251134 204046 164806 141263 133415 117719 117719 109871 102023 94175 78479 62783 47087 31391 15695 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 78479 196198 376701 619987 871121 47436 73790 110685 147581 189747 226642 252996 268808 268808 263538 258267 247725 247725 247725 258267 274079 295162 310974 310974 289891 247725 189747 126498 68519 26353 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21083 4427 8855 15497 24353 35423 48707 64205 88559 117341 152764 197044 243538 276747 281175 243538 183760 119555 70847 33209 8855 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 196117 186550 176984 167417 162634 157850 153067 148284 143500 138717 129150 124367 119583 114800 105233 100450 100450 95667 95667 95667 90883 90883 86100 81317 71750 57400 38266 19133 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4783 23916 47833 71750 100450 133933 162634 186550 200900 210467 210467 200900 171486 105230 64307 38974 23384 13640 5846 3897 1948 3897 5846 9743 15589 21435 25333 31179 33128 33128 31179 25333 19487 13640 7794 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 7794 38974 95486 187075 302049 339075 265024 96632 94216 89384 84553 82137 82137 84553 91800 99048 108711 118374 128037 132869 132869 125622 111127 94216 74890 57979 41068 26573 14494 4831 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4831 16910 33821 50731 67642 82137 91800 96632 55658 50306 44955 41744 38532 37462 35321 35321 34251 33181 32110 29970 28899 26759 24618 22477 21407 19266 17125 14985 12844 9633 5351 1070 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3211 8562 17125 26759 38532 50306 59940 65291 65291 61010 39244 82056 146273 249736 392442 545851 606501 520878 367468 239033 149841 92759 57082 32108 17838 7135 0 0 0 0 0 0 3567 3567 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10702 0 0 0 0 6767 13535 20303 33838 47373 64293 87980 118434 155657 203031 260556 318082 368840 392527 372224 314698 240253 169192 108283 60909 27070 3383 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 72422 63644 54865 46087 39503 35114 30724 26335 24140 21946 21946 21946 24140 24140 28530 30724 37308 41697 48281 57060 65838 72422 81201 87785 89979 87785 79006 68033 52671 39503 24140 10973 2194 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6583 17557 30724 43892 61449 74617 85590 92174 94369 89979 81201 115343 79056 51840 32400 19440 10368 3888 0 0 0 0 0 0 0 0 1296 2592 2592 3888 2592 2592 1296 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2592 11664 25920 45360 73872 112752 158112 190511 189216 156816 30454 31300 32992 34684 35530 36376 35530 33838 30454 26224 21995 18611 15227 11843 9305 7613 5921 5075 4229 3383 2537 1691 845 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1691 3383 5921 9305 12689 16073 20303 24532 27916 31300 32992 33838 33838 32992 32146 31300 30454 30454 65296 64064 62832 60368 56672 52976 50512 48048 45584 44352 41888 39424 36960 33264 28336 22176 17248 11088 6160 1232 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1232 3696 6160 8624 12320 16016 20944 25872 32032 38192 44352 51744 56672 61600 64064 47198 53354 59510 63614 69771 73875 82083 92344 104656 119021 133385 147750 155958 155958 143646 125177 100552 73875 51302 30781 14364 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2052 6156 8208 10260 8208 6156 4104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4104 12312 22572 30781 38989 25188 25188 24425 23661 22898 21372 20608 20608 20608 22135 23661 26715 29768 34347 38164 41217 41980 39690 35111 29004 21372 15265 9922 4579 1526 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3053 5343 7632 9922 12975 16029 18318 20608 22898 24425 33393 29815 25045 21467 17889 14311 11926 9541 7155 4770 3577 2385 2385 2385 2385 3577 4770 7155 8348 10733 11926 13118 14311 14311 13118 10733 8348 4770 1192 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3577 7155 11926 17889 23852 31008 38164 45320 53668 59631 65594 69172 69172 67980 64402 60824 54861 48898 44127 38164 47492 47492 45427 43363 41298 41298 41298 41298 43363 45427 49557 53687 59882 66076 70206 76401 80531 82596 80531 74336 66076 57817 45427 35103 24778 14454 6194 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2064 4129 6194 10324 12389 14454 16519 18584 20649 22713 24778 26843 28908 30973 35103 37168 41298 43363 47492 49557 51622 51622 51622 49557 22280 18799 16014 12532 10443 8355 6962 5570 4873 4873 4873 5570 6266 7658 9051 11140 12532 14621 16710 18799 20191 20887 21584 20887 19495 16710 13229 9747 6266 2088 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 696 2088 4177 6266 7658 9051 9747 9747 9747 9747 9051 7658 6266 5570 4177 2785 1392 696 0 0 0 0 0 0 0 0 0 0 0 2088 4177 6962 10443 14621 19495 23672 27154 29243 29243 28546 25761 9105 6622 4966 2483 1655 827 827 827 1655 2483 4138 5794 7450 9933 12416 14900 17383 19039 20694 23177 25661 28144 31455 35594 39733 43044 46355 48011 46355 43044 36422 29800 22350 15727 9933 5794 2483 0 0 0 0 0 0 0 0 0 827 2483 3311 4138 4966 4966 4138 3311 2483 827 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1655 5794 9105 13244 15727 17383 17383 15727 14072 11588 117774 119805 104576 83254 62948 46703 34520 26397 19290 14214 10153 7107 4061 1015 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2030 6091 9137 12183 14214 15229 15229 13198 10153 7107 3045 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4061 12183 25382 43657 69040 97468 84408 80513 75318 68825 62332 54541 48048 40256 32464 25971 19478 12985 7791 3895 0 0 0 0 0 0 0 0 0 0 0 1298 3895 5194 5194 5194 2597 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1298 1298 1298 1298 1298 0 0 0 0 0 0 0 0 0 0 2597 5194 7791 11687 16881 23374 31166 40256 49346 59735 68825 76617 83110 85707 87006 17030 12942 10218 8174 6130 5449 5449 6812 8855 12261 17030 23161 31335 38828 44959 45641 40872 32698 23161 14986 8174 2724 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 681 2724 4768 6130 7493 8174 7493 6130 4087 2043 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2724 6130 10899 15667 20436 25204 28610 29973 28610 25204 21117 40055 38763 37471 34887 32303 28426 25842 23258 21966 21966 21966 24550 28426 33595 41347 49100 56853 60729 60729 54269 42640 31010 19381 9044 1292 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1292 5168 9044 12921 15505 19381 21966 24550 27134 28426 31010 32303 34887 36179 37471 38763 40055 40055 81189 74780 68370 59824 55550 51277 47004 47004 47004 49141 51277 53414 57687 61960 66233 68370 72643 74780 76916 76916 76916 74780 70507 61960 51277 40594 25638 12819 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2136 4273 6409 6409 4273 4273 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2136 12819 25638 38458 53414 68370 79053 85463 85463 36430 28572 22143 16429 12143 7857 5000 2142 0 0 0 0 0 0 0 0 1428 3571 5714 8571 11429 14286 17143 20715 22858 25001 25715 24286 21429 17143 12143 7143 2857 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5000 10000 17143 26429 36430 45716 52145 53573 50002 43573 0 0 0 0 0 0 0 0 0 0 0 2461 7384 13538 22154 32000 44308 60308 77539 94770 110770 120616 120616 112000 97231 80000 62769 48000 34461 24615 16000 9846 4923 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1230 3692 4923 6153 6153 4923 4923 2461 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23524 25662 26732 29940 32078 35286 38494 42771 47048 50256 51325 51325 49187 43840 37425 31009 23524 17108 11762 7485 4277 2138 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2138 4277 7485 10692 13900 18177 21385 24593 26732 27801 26732 24593 20316 16039 11762 7485 4277 1069 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1069 3207 6415 8554 10692 12831 16039 18177 19247 21385 18270 12789 8221 4567 913 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3654 8221 13702 20097 25578 30146 33800 34713 32886 29232 23751 17356 10962 5481 913 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1827 3654 4567 6394 7308 7308 8221 8221 8221 8221 8221 9135 10048 11875 14616 18270 23751 30146 37454 44762 51157 54811 53897 49330 42022 33800 25578 0 0 0 0 0 0 1191 3574 7148 10722 13105 14297 13105 9531 4765 0 0 0 0 0 0 0 0 0 0 0 0 9531 22637 39317 58380 77443 91740 96506 89358 75060 57189 40509 27403 16680 9531 3574 0 0 0 0 0 0 0 0 0 0 0 1191 2382 3574 3574 3574 3574 3574 2382 1191 0 0 0 0 0 0 0 0 0 0 2382 5957 11914 19063 26211 33360 39317 42891 42891 39317 33360 27403 20254 14297 8340 4765 1191 0 0 0 0 0 0 1992 9964 21257 34544 47166 53809 51816 43180 32551 23250 15943 10628 6643 3321 1328 0 0 0 0 0 0 0 0 664 1328 2657 3321 3985 3321 2657 664 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1992 7971 15279 23250 31222 35872 36537 32551 27236 21257 15943 11957 7971 5314 3321 1992 664 0 0 0 0 0 0 0 664 1328 1992 1992 1992 1328 0 0 0 0 0 0 0 0 14063 11719 9375 7031 4687 2343 2343 2343 3515 5859 8203 11719 15235 19923 23439 28127 33987 39847 45707 51567 57427 60943 62115 60943 57427 50395 42191 33987 25783 17579 10547 4687 0 0 0 0 0 0 0 0 0 0 0 2343 7031 11719 17579 22267 25783 28127 28127 25783 23439 19923 16407 12891 9375 7031 4687 3515 1171 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1171 5859 9375 12891 15235 16407 16407 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 303 1818 3333 5152 6970 8788 10910 13031 15759 18789 21820 23638 23335 20608 16062 10910 6667 3030 606 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1818 4545 8182 12122 15153 15153 12728 9091 6061 3636 1818 909 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1573 3371 5169 6743 8091 8766 8766 8316 7192 6068 4720 3821 2922 2472 2022 1798 1798 1798 2022 2247 2472 2922 3371 4045 4495 4945 4945 4720 4045 3371 2472 1573 899 674 449 449 674 1348 1798 2697 3371 3821 4045 4045 3596 2922 2247 1573 899 449 224 0 0 0 0 0 224 449 899 1123 1573 2022 2247 2697 3146 3596 3821 4045 4270 4495 4270 4045 3821 3146 2697 1798 1123 224 0 0 0 0 9576 16280 22026 26815 27772 24899 20111 14365 8619 2873 0 0 0 0 0 0 0 0 6703 17238 30645 43095 47884 42138 28730 14365 2873 0 0 0 0 0 0 0 0 0 0 0 0 0 2873 6703 9576 11492 11492 10534 8619 5746 2873 957 0 0 0 0 0 0 0 0 0 0 957 5746 11492 21069 36391 56503 78530 88106 74699 50757 29688 14365 4788 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3830 6991 27966 58263 100214 144494 172461 167800 135172 93222 58263 30297 9322 0 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 16313 23305 23305 20975 13983 6991 0 0 0 0 0 0 0 0 0 0 0 6991 18644 30297 44280 60594 76908 95552 107205 114197 116527 109536 100214 88561 74577 58263 44280 32627 20975 11652 2330 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 623 554 485 369 277 207 184 184 207 254 323 369 415 462 439 415 346 300 231 207 207 231 300 415 531 647 739 785 762 647 508 346 184 69 0 0 0 0 0 0 0 0 69 138 184 231 207 184 161 115 115 92 115 138 184 254 323 392 462 508 531 531 485 415 346 277 207 138 92 46 23 0 0 0 0 0 0 0 0 0 23 46 92 138 207 277 369 485 554 623 0 0 4406 9693 14980 21149 26436 30842 34367 37010 37891 38773 37891 35248 30842 24673 17624 9693 2643 0 0 0 0 0 0 0 0 0 0 0 881 2643 3524 3524 3524 4406 4406 5287 5287 5287 4406 3524 2643 1762 0 0 0 0 0 0 881 3524 6168 8812 12336 16742 20267 22911 24673 25555 23792 21149 17624 14099 10574 7930 6168 5287 6168 6168 7930 10574 13218 15861 18505 19386 18505 16742 14099 10574 7049 3524 0 0 0 0 0 0 0 0 2209 6186 12814 22094 33141 42862 45514 40211 30489 20768 12372 6186 1767 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2209 4418 5744 7070 7953 8837 8837 8395 7512 6186 4418 2209 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2651 6186 10163 14140 16349 15024 11930 7953 4418 1767 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51828 32392 19435 12957 9717 9717 12957 19435 25914 32392 38871 42110 45349 42110 38871 38871 35632 38871 45349 58307 74503 93939 106896 110135 100417 77742 48589 22674 3239 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16196 35632 61546 90699 116614 136049 139289 126332 106896 80982 55067 38871 22674 12957 6478 0 0 0 3239 6478 9717 12957 16196 16196 12957 6478 0 0 0 0 0 0 0 0 0 9717 22674 42110 61546 80982 100417 116614 119853 110135 93939 71264 0 0 0 0 0 0 0 0 0 6094 12188 21329 33517 48752 63987 79223 85317 79223 57893 27423 0 0 0 0 0 0 0 0 0 0 0 0 0 9141 30470 51799 70081 85317 88364 82270 67034 48752 30470 15235 6094 3047 3047 9141 18282 30470 51799 73128 97505 115787 121881 109693 88364 60940 36564 18282 6094 0 0 0 0 0 0 0 6094 21329 39611 67034 97505 124928 143210 146257 134069 109693 85317 60940 39611 21329 6094 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6368 0 0 0 0 0 0 0 0 0 0 9552 28657 57314 95524 140102 171943 178312 152838 108260 57314 15920 0 0 0 0 0 0 6368 25473 44578 60498 76419 82787 76419 63682 44578 25473 9552 0 0 0 0 0 0 9552 22289 31841 38209 35025 28657 19104 6368 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3184 9552 19104 35025 54130 76419 101892 124181 136918 140102 130549 114629 95524 79603 66867 57314 50946 44578 38209 31841 25473 15920 0 0 0 0 0 0 7279 16015 23295 26207 23295 18927 10191 1455 0 0 0 0 0 0 0 0 0 0 0 0 11647 29119 50959 77166 101918 119390 119390 103374 78622 53871 34943 20383 10191 4367 0 0 0 0 0 0 0 2911 5823 8735 11647 16015 18927 23295 26207 30575 32031 33487 30575 27663 23295 18927 13103 8735 4367 1455 0 0 0 0 0 0 0 0 0 0 0 0 1455 7279 14559 21839 27663 30575 27663 21839 13103 5823 0 0 0 0 3636 29088 61813 94538 123627 145443 159987 167260 167260 170896 167260 163624 149079 127263 101810 72721 47269 25452 10908 0 0 0 0 0 0 0 0 0 0 3636 25452 54541 87266 116354 141807 145443 134535 105446 72721 43633 21816 3636 0 0 0 0 0 7272 10908 10908 10908 10908 7272 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7272 18180 36360 54541 76357 90902 94538 87266 69085 50905 32724 14544 0 0 0 0 0 0 0 0 26542 92897 145981 185794 199065 199065 185794 159252 145981 132710 119439 119439 119439 119439 119439 92897 53084 0 0 0 0 0 0 119439 278691 491028 743178 968785 1101496 1074954 902430 676823 464486 305233 185794 106168 53084 0 0 0 0 0 0 0 0 0 0 0 26542 79626 119439 159252 199065 225607 238878 212336 185794 145981 92897 53084 13271 0 0 0 0 0 0 0 0 0 0 13271 53084 92897 145981 212336 265420 291962 278691 225607 159252 79626 13271 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 523268 438413 367701 325274 296990 268705 226278 141423 42427 0 0 0 0 0 0 0 0 0 56569 226278 395986 494983 466698 311132 127281 0 0 0 0 0 0 0 0 0 0 0 0 14142 14142 14142 0 0 28284 70711 169708 296990 480841 636407 678834 551552 367701 212135 98996 28284 0 0 0 0 0 0 0 0 42427 98996 183850 325274 494983 636407 636407 480841 296990 155566 70711 0 0 0 0 0 0 0 0 0 0 14142 98996 212135 367701 509125 593980 593980 121316 133447 109184 60658 6065 0 0 0 0 0 12131 121316 260829 394277 424606 339684 212303 103118 36394 6065 18197 60658 127381 188039 206237 169842 97052 30329 0 0 0 0 0 0 18197 42460 66723 90987 109184 127381 139513 127381 103118 60658 24263 0 0 0 0 0 0 0 24263 36394 36394 24263 6065 0 0 0 0 0 0 0 0 0 0 12131 24263 36394 42460 54592 72789 103118 139513 188039 230500 236566 206237 151645 97052 54592 18197 0 0 0 0 12131 42460 84921 0 0 0 0 0 0 0 0 0 0 1299 3247 5413 6712 6495 4980 2165 0 0 0 0 0 0 0 1515 4330 6495 7145 6495 5196 4113 3464 3031 2814 2814 2598 2381 2165 2165 2381 3031 3680 4330 4763 4980 4980 4763 4546 4330 4330 4546 4546 4546 3897 3247 2381 1515 1082 649 649 649 1082 1515 1948 2381 2381 1948 1299 866 216 0 0 0 216 649 1299 1948 2814 3680 4546 4980 5196 4980 4113 3247 2165 1299 433 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 56112 210423 280564 224451 56112 0 0 0 0 0 0 0 0 98197 476959 883777 1178370 1178370 953919 673354 420846 238479 126253 56112 42084 56112 98197 168338 252507 364733 476959 533072 490987 364733 224451 98197 14028 0 0 0 0 0 14028 42084 56112 56112 28056 0 0 0 0 0 0 0 0 0 28056 70141 98197 126253 126253 112225 98197 98197 98197 98197 98197 98197 112225 126253 140282 182366 210423 252507 280564 294592 280564 238479 182366 98197 422206 304926 140735 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 375294 1102427 1946840 2415958 2111032 1383898 727133 281470 46911 0 0 23455 187647 445662 774045 1078971 1243163 1243163 1102427 914780 727133 539485 351838 164191 23455 0 0 0 0 0 0 0 0 0 0 23455 23455 0 0 0 0 0 0 0 0 0 0 0 23455 70367 140735 234559 328382 398750 398750 351838 258015 140735 46911 0 0 0 0 0 0 23455 140735 304926 422206 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 64929 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 324649 876553 1720641 2856913 3993186 4058116 2856913 1428456 422044 0 0 0 0 0 0 32464 519438 1201202 1947895 2142685 1590781 909018 422044 162324 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32464 97394 194789 324649 422044 422044 324649 162324 32464 0 0 0 0 0 0 32464 227254 486973 681763 681763 486973 259719 218234 218234 218234 261881 218234 87293 0 0 0 0 0 0 43646 567408 1222111 1745873 1745873 1178464 392821 0 0 0 0 0 0 436468 1265758 2007754 2356929 2182341 1658579 1047524 523762 174587 0 0 0 130940 305527 480115 567408 567408 523762 480115 480115 480115 567408 741996 960230 1134817 1265758 1265758 1047524 741996 480115 261881 130940 43646 0 0 43646 130940 261881 436468 567408 654702 654702 567408 480115 349174 261881 174587 130940 43646 0 0 0 0 0 0 130940 349174 654702 960230 1091170 1047524 829289 567408 392821 261881 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8780 33606 66304 34514 8174 0 0 0 0 0 0 0 0 4844 15440 28762 20890 8174 2422 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 908 2119 4238 6357 5752 3027 908 0 0 0 0 0 0 0 0 0 3330 10293 16046 11202 5146 1513 1299871 1268921 1237972 1052276 711834 309493 0 0 0 0 0 0 0 0 0 0 0 92847 154746 278543 402341 618986 928479 1330820 1826009 2166451 2042654 1454617 711834 123797 0 0 0 0 0 61898 433290 866580 1176073 1052276 618986 216645 0 0 0 0 0 0 0 61898 123797 123797 92847 30949 0 0 0 0 0 0 0 0 0 0 0 0 0 30949 92847 154746 278543 402341 557087 649935 588036 402341 216645 30949 0 0 0 0 0 0 30949 309493 680884 1083225 1299871 1330820 514917 738794 873120 895508 783569 582080 380590 223877 111938 22387 0 0 0 0 0 0 179101 402978 649243 895508 1074609 1141772 1141772 985058 738794 402978 111938 0 0 0 0 22387 291040 559692 716406 694018 514917 313427 179101 89550 44775 22387 22387 22387 22387 22387 44775 89550 134326 201489 268652 313427 313427 313427 268652 246264 223877 201489 201489 179101 179101 156713 134326 89550 67163 44775 0 0 0 0 0 22387 67163 111938 179101 223877 268652 291040 246264 201489 134326 67163 22387 0 0 0 0 44775 156713 313427 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 170976 854883 2051720 3077580 3761487 3419534 2735627 1880743 1538790 1709767 2222697 2906604 3419534 3590510 3932464 4616371 5642231 5984184 4103441 170976 0 0 0 0 0 2051720 7181021 10087626 9403719 6668091 3932464 1880743 854883 512930 512930 854883 1538790 2393673 3419534 4103441 4103441 3761487 3077580 2735627 2564650 2564650 2735627 2906604 2906604 2393673 1709767 854883 0 0 0 0 0 0 0 0 683906 1538790 2222697 2222697 1709767 1367813 1196836 1538790 2051720 2393673 2222697 1196836 170976 0 0 0 0 0 0 0 0 683906 1196836 1367813 1025860 683906 170976 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2564884 2308395 2821372 3847326 5386256 7438163 9490070 11541978 12567931 11285489 8464117 4873279 2308395 2051907 4616791 11029001 18723653 21288537 14619838 5386256 0 0 512976 4360302 5899233 4103814 1538930 512976 1538930 4103814 6155721 6668698 5129768 3077860 1538930 512976 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 256488 512976 1025953 1282442 1538930 1282442 769465 256488 0 0 0 256488 512976 512976 256488 0 0 0 0 256488 1282442 2564884 3334349 2564884 1282442 256488 0 0 0 0 769465 2564884 4616791 5899233 6155721 4873279 3590837 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39205 274439 509674 529276 313645 98014 0 0 0 0 0 0 0 0 0 0 0 0 470468 1568227 2822810 3058044 2175916 1254582 627291 196028 0 0 0 0 137219 646894 980142 823319 372454 58808 0 0 0 0 156822 333248 392056 274439 98014 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19602 39205 78411 137219 196028 176425 98014 19602 0 0 0 0 0 58808 137219 176425 137219 58808 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2178946 5447365 5447365 2178946 0 0 7626311 20699987 35952609 42489447 37042082 28326298 22878933 23968406 31594717 45757866 61010488 70815746 75173638 77352584 72994692 51205231 14163149 0 0 0 0 27236825 57742069 38131555 0 0 0 0 0 0 17431568 30505244 18521041 4357892 0 0 0 1089473 3268419 3268419 2178946 2178946 3268419 5447365 6536838 7626311 6536838 5447365 4357892 4357892 4357892 5447365 6536838 6536838 4357892 3268419 1089473 0 0 0 0 1089473 1089473 2178946 2178946 2178946 3268419 5447365 8715784 7626311 4357892 0 0 0 0 0 0 1089473 8715784 13073676 9805257 4357892 0 0 8455108 17614809 31706656 39457172 26774509 9159700 0 0 0 0 0 0 0 0 0 0 0 0 0 21137770 77505159 138100102 124008255 64822497 21842363 0 0 0 0 0 2818369 20433178 26774509 14091847 704592 0 0 0 0 4227554 11978070 11978070 6341331 1409184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1409184 2113777 2113777 704592 0 0 0 0 0 0 2113777 4227554 4932146 2818369 0 0 0 0 0 0 2818369