% 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 1502 333 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 166 333 667 1001 1335 1669 2002 2503 3004 3505 4005 4506 5007 5508 5841 6008 5841 5508 5007 4339 3505 2503 1502 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 667 1001 1335 1836 2169 2670 3171 3672 4339 5007 5674 6175 6676 7010 7010 6843 6342 5674 4840 3672 2670 14564 14062 12555 11049 8537 6026 3515 1004 0 0 0 0 0 0 0 0 0 0 0 502 1004 1506 2008 2511 2511 3013 3515 4017 4520 5022 5524 6026 6529 7031 8035 8537 9542 10546 11551 12555 14062 15066 16071 17075 17578 17578 16573 15569 13058 10546 7533 4520 1506 0 0 0 0 0 0 0 0 0 0 0 0 0 502 1004 1506 1506 2008 2511 2511 3013 3515 4017 4520 5022 5524 6026 7031 7533 8537 9542 10546 11551 12555 13058 14062 14564 0 0 0 0 0 0 0 1191 2979 4965 7150 8937 10327 10923 10725 9930 8937 7547 6355 5163 4170 3376 2780 2184 1588 1191 993 595 397 198 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 397 2184 3972 5759 7150 7944 8341 8143 7348 6554 5561 4766 3972 3177 2581 2184 1787 1390 993 794 595 397 198 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 697 1569 2790 4185 5755 6976 7674 7848 7325 6278 5232 4011 2965 2267 1569 1046 523 174 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 523 1395 2790 4534 6627 8895 10813 11860 11860 10988 9243 7499 5755 4360 3139 2092 1395 872 523 174 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 104 312 625 938 1146 1355 1667 1876 2084 2397 2606 2814 3127 3335 3544 3752 3961 4169 4378 4482 4482 4482 4378 4169 3961 3648 3335 2814 2293 1772 1250 625 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 104 208 312 416 521 625 729 729 833 833 938 938 938 1042 1042 1042 1042 1042 938 938 833 729 625 416 208 0 848 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 282 848 1131 1696 1979 2262 2545 3110 3393 3676 3676 3959 4242 4524 4524 4807 5090 5090 5090 5090 5090 5090 4807 4524 3959 3676 3110 2262 1696 848 0 0 0 0 0 0 0 0 565 1414 1979 2828 3393 3959 4524 5090 5656 5938 6221 6504 6787 7070 7070 7352 7352 7635 7635 7635 7635 7352 7352 7070 6787 6504 6221 5656 5090 4524 3676 2828 1979 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5822 7788 9678 10586 9829 7788 5368 3327 1739 604 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 151 302 378 302 226 75 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75 226 453 831 1285 1890 2873 4083 256095 302658 325940 320119 282287 226994 171700 122227 84395 55293 34922 17461 8730 2910 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2910 8730 17461 26191 40742 58203 81485 113497 154239 200802 325160 743224 1532900 2949671 4877409 5458053 3739347 2020641 975481 418063 92903 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92903 196742 166001 129112 98371 70704 46111 24592 9222 0 0 0 0 0 0 0 0 0 0 3074 6148 12296 15370 18444 24592 27666 30741 33815 36889 36889 39963 39963 39963 36889 33815 30741 27666 24592 18444 12296 6148 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9222 18444 30741 43037 61482 83000 107593 135260 166001 199816 224409 239779 239779 224409 30514 29061 26155 23249 18889 13077 7265 1453 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1453 2906 4359 7265 8718 11624 14530 18889 23249 27608 33420 39232 46498 52310 59575 66840 71200 74106 74106 72653 66840 59575 50857 42138 34873 26155 20342 14530 10171 7265 4359 2906 1453 0 0 0 0 0 0 0 1453 1453 1453 2906 4359 4359 5812 7265 8718 11624 13077 14530 17436 20342 23249 24702 27608 29061 30514 709 745 745 691 601 494 377 269 179 107 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 26 35 44 62 71 71 80 80 71 62 44 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 8 26 44 62 89 116 152 197 251 314 386 476 565 646 9268 8199 7129 6060 4634 3208 1782 712 0 0 0 0 0 0 0 0 0 0 0 0 0 0 356 712 1425 1782 2495 3208 3921 4634 5347 6060 7129 8199 9268 10338 11407 12477 13546 14616 14972 15329 15329 14616 13546 11764 9981 7842 5703 3564 1425 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 712 1069 1782 2495 3208 3921 4990 5703 6773 7486 8555 9268 9625 9981 9625 78031 74129 67301 58523 48769 39015 29261 21458 14630 8778 3901 975 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 975 975 975 975 1950 1950 1950 1950 975 975 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1950 3901 6827 9753 13655 17557 22433 28286 35114 42917 51695 60474 68277 74129 78031 19639 24689 30300 37034 42645 47695 50501 49940 46012 39840 32545 25250 19078 13467 8978 5611 2805 1122 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 561 561 1122 1683 2244 3366 4489 5611 7294 9539 12344 15711 2749 2890 2960 3031 3101 3101 3031 2960 2890 2749 2608 2467 2255 2044 1903 1691 1480 1339 1127 986 775 634 493 352 211 140 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 70 211 281 422 563 634 775 986 1127 1268 1480 1621 1832 2044 2255 2396 2608 19262 18834 18406 17550 17550 17122 16694 16694 16694 16266 15838 14982 14126 12841 11129 8989 7277 5136 3424 2140 856 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 428 1712 2996 4708 6848 8561 11129 13269 14982 16694 17978 18834 19262 19262 42607 48873 55139 60151 65164 67670 70176 71430 70176 67670 65164 60151 55139 50126 43860 38847 32582 27569 23810 18797 15037 11278 7518 5012 2506 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1253 2506 5012 7518 11278 13784 17544 22556 26316 31329 37594 18065 30109 45164 66241 96351 138505 192703 261956 340242 397451 403473 349275 261956 177648 111406 66241 33120 12043 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3010 9032 0 0 0 10444 73108 208882 496096 1070523 1493511 981748 485652 234993 114885 46998 10444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1175511 1351838 1498777 1586940 1616328 1645715 1645715 1645715 1645715 1616328 1616328 1586940 1498777 1410613 1263674 1087348 881633 675919 499592 323265 176326 58775 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 88163 205714 352653 558367 764082 969796 0 91936 239035 459684 753881 1158403 1618087 2059384 2298420 2224870 1930672 1526150 1158403 864205 643557 459684 330972 239035 165486 91936 55162 18387 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 92531 215907 431815 678566 1017850 1480509 2097388 2837643 3577898 4102245 4009713 3392834 2560048 1788949 1172070 740254 431815 215907 61687 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1291550 1291550 1170467 988843 807219 665955 565053 484331 443970 423790 443970 484331 544872 645775 746677 867760 948482 988843 948482 807219 625594 443970 282526 141263 40360 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20180 161443 343068 585233 867760 1150287 74365 156993 247884 363563 487505 586659 652761 677550 652761 611447 561871 512294 462717 421403 380089 330512 289198 239621 190044 148730 99153 66102 24788 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24788 61236 81649 102061 122473 147988 183710 219431 265359 311286 357214 403141 428657 433760 413348 367420 306183 244947 188813 137782 96958 61236 35721 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10206 20412 35721 45927 0 0 0 27454 65889 126288 214141 334939 499663 686351 807149 779695 631443 461228 318466 214141 142761 87852 54908 27454 10981 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 33504 87111 160821 268036 422157 629885 857716 1005136 964930 784006 562876 381951 247933 154120 87111 46906 13401 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27276 45460 54552 72736 90920 109104 136381 163657 200025 254577 327314 427327 554616 736457 945575 1136508 1191060 1027403 736457 454603 254577 118196 27276 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9092 77200 112830 160338 213784 267231 332554 391939 439446 481016 492893 486954 457262 409754 356308 302862 249415 195969 154400 112830 83138 53446 29692 11876 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23753 47507 0 0 0 8174 21798 40872 68121 103543 149866 209812 275208 329705 351504 326980 269759 201638 144416 98094 62671 38147 19073 5449 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8546 17092 25638 36321 49141 64097 79053 94009 111101 126058 141014 151696 155970 155970 151696 141014 126058 108965 91872 76916 61960 49141 38458 27775 21365 12819 8546 2136 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10618 15927 21236 26545 31855 37164 42473 50437 55746 63710 74328 84947 95565 108838 119456 132729 146002 156621 164584 167239 164584 156621 146002 130075 114147 95565 76983 58401 45128 31855 18582 10618 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2654 5309 4022 5363 6704 6704 8045 8045 9386 10727 12068 13409 16090 20113 24136 29499 36204 45590 54976 67045 77772 89840 97885 103249 103249 97885 88499 75090 61681 49613 38886 28158 20113 13409 8045 4022 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7479 16829 28049 43009 59839 80409 104718 129028 151468 168298 173908 168298 151468 130898 106588 86019 67319 52359 39269 29919 22439 16829 11219 7479 5609 3739 1869 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1869 17225 15198 14185 13172 12159 12159 12159 13172 15198 18238 21278 25331 30397 36477 41543 46610 51676 53703 54716 53703 49650 45596 39517 34451 29384 23305 19252 15198 11145 8106 5066 3039 1013 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4053 8106 12159 16212 20265 22291 22291 22291 21278 19252 0 0 0 0 0 0 0 0 1069 4277 7485 10692 16039 21385 28870 38494 49187 62018 75919 90889 101582 106929 103721 93028 76988 59880 44910 32078 21385 12831 7485 2138 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2056 6170 10283 15425 21595 28793 38049 48332 59644 70956 82268 89466 92551 89466 81239 69928 57587 45247 34964 26737 19538 14396 10283 6170 4113 2056 1028 0 0 0 0 0 0 0 0 0 1028 1028 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 48751 51129 51129 49940 47562 45184 41617 38049 35671 33293 30915 28537 27348 27348 26159 26159 26159 26159 27348 27348 27348 27348 27348 27348 26159 24970 22592 20214 17835 14268 11890 8323 5945 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 1189 5945 10701 16646 22592 28537 35671 41617 46373 12131 14985 17840 20694 22835 25689 27830 29257 30684 31398 32112 32112 32112 32112 31398 31398 30684 29971 29257 28544 27116 24976 22835 19980 16412 12844 9276 6422 3568 713 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 713 2854 4995 7136 9990 59077 65231 71385 75077 77539 77539 75077 70154 64000 55385 48000 39384 32000 24615 18461 13538 8615 4923 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1230 2461 3692 4923 4923 6153 8615 9846 11077 13538 16000 18461 20923 25846 29538 34461 40615 45538 52923 627 2195 4390 7212 10348 14425 18816 22893 26342 27910 27597 25401 22265 19129 15680 13171 10662 8780 7212 5958 5017 4076 3449 2822 2195 1881 1254 940 627 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13681 15546 17412 19278 21143 22387 24253 26118 27362 29228 30471 31093 31715 31715 31093 29850 28606 26118 23631 21143 18656 15546 13059 10571 8706 6218 4353 3109 1243 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1243 3109 4975 6840 9328 11193 1838 2757 2757 2757 2757 2757 3676 4595 5514 6433 9190 11028 14704 18380 23894 30327 38598 46869 56978 68006 77196 82710 82710 77196 67087 55140 42274 30327 21137 13785 7352 2757 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1838 1838 23362 24336 24336 25309 26282 26282 27256 28229 29203 31150 32123 33096 34070 36017 36017 36990 36017 35043 34070 32123 29203 26282 22389 19468 16548 13628 10707 7787 4867 2920 973 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 973 1946 2920 3893 5840 6814 7787 8760 10707 11681 13628 14601 16548 17521 19468 20442 21415 22389 0 0 0 0 0 0 0 0 0 0 116 349 582 931 1164 1629 1978 2560 3026 3608 4190 4772 5471 6053 6518 6984 7333 7450 7450 7100 6751 6053 5471 4656 3957 3142 2560 1862 1396 931 465 116 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1072 2145 3218 4648 6078 7508 9296 11084 13230 15017 16805 18593 20023 21096 21811 21454 20738 19308 17163 15017 12872 10369 8224 6078 4290 2860 1430 357 0 0 0 0 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 1072 1430 1787 2145 2502 2860 3218 3218 3575 3575 3575 3218 3218 2860 2502 1787 1430 715 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13929 13295 13295 12662 12662 12662 13295 13929 14562 15195 16461 17094 18361 18994 19627 20260 20260 20260 19627 18361 17094 15828 13929 12662 10763 9497 7597 6331 5065 3798 2532 1266 633 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 633 1899 3165 5065 6964 8230 10130 12029 13295 14562 15828 16461 16461 16461 16461 15828 15195 14562 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 906 2266 4532 6345 8611 10877 12690 14503 15863 16316 15863 14503 13143 10877 9064 7251 4985 3625 2266 906 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 906 1812 3172 4532 5892 7705 9971 11784 14050 15863 17676 19035 19942 19942 19489 18582 17222 15410 13597 11330 9517 7705 5892 4079 2266 906 0 0 0 0 0 0 0 16752 18188 19146 19146 18667 17231 16274 14838 13880 12923 11966 11487 11487 11487 11966 12444 12923 13880 14838 15795 16274 16752 16752 16274 14838 13402 11966 10051 8137 6222 4307 2871 1914 957 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 478 2871 5743 8615 11487 14359 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 312 937 1874 2811 3748 4997 6559 8121 9370 10620 11557 12181 11869 11557 10307 9058 7808 6247 4997 4060 3123 2186 1561 1249 937 624 624 624 937 1249 1874 2811 3748 4685 5934 7496 8745 10307 11557 12494 12806 12806 12181 10932 9682 8433 6871 5622 4372 3123 2186 1561 624 312 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 87 174 261 348 435 478 522 565 565 565 565 522 522 478 478 478 478 478 478 522 565 609 696 783 913 1087 1261 1436 1610 1827 2045 2175 2306 2349 2306 2219 2045 1827 1566 1305 1087 826 652 478 304 174 87 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1640 1640 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1640 4920 8201 11481 14762 16402 18042 19683 19683 19683 18042 16402 13122 9841 6561 3280 1640 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1640 4920 8201 11481 14762 19683 24603 29524 36085 42646 50847 59049 68890 78732 86933 95134 100055 101695 100055 93494 83652 73811 60689 49207 39366 31164 22963 16402 11481 8201 4920 3280 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 59227 62988 62988 62047 58287 53586 47946 42305 37604 31964 27263 22562 17862 14101 10341 7520 3760 940 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1880 3760 4700 6580 7520 8461 9401 9401 9401 9401 8461 6580 5640 4700 2820 1880 940 0 0 0 0 0 0 0 0 0 0 0 0 2820 7520 14101 20682 29143 37604 46065 53586 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3815 3815 3815 2543 1271 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2543 5087 7631 8903 11447 12719 13991 13991 15263 16535 16535 17807 17807 19079 20351 20351 20351 20351 19079 17807 15263 12719 10175 7631 3815 1271 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5087 12719 21623 31798 44518 55965 68685 77588 81404 81404 76316 68685 58509 49605 40702 31798 25438 19079 13991 10175 7631 5087 3815 2543 2543 2543 3815 3815 3815 14208 12022 9836 7650 5464 4371 3278 2732 2732 3278 3825 5464 7104 8743 11475 14208 16940 19672 22405 24044 25137 25137 23498 21312 18033 14754 11475 8743 6011 3825 2185 546 0 0 0 0 0 0 0 0 1092 2185 3825 5464 6557 8197 9289 9836 9836 9289 8197 7104 6011 4918 3278 2185 1639 1092 546 0 0 0 0 546 546 546 546 546 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1092 4371 7650 10929 13661 15301 15847 15301 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14544 12928 12928 14544 17776 21008 24240 27472 30704 30704 29088 24240 17776 11312 4848 0 0 0 0 0 0 0 0 0 0 3232 9696 17776 25856 32320 35552 37168 33936 29088 22624 16160 11312 6464 1616 0 0 0 0 0 0 0 0 0 0 0 1616 4848 11312 17776 24240 32320 40401 46865 48481 46865 42017 33936 22624 12928 3232 0 0 0 0 0 0 0 0 0 0 0 12928 27472 43633 58177 69489 75953 74337 67873 59793 48481 38784 30704 24240 17776 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7266 0 0 7266 21798 36331 58130 79929 94461 108994 123527 123527 130793 130793 130793 130793 138059 145326 152592 167125 174391 188923 196190 196190 196190 188923 181657 167125 159858 145326 123527 108994 94461 79929 65396 50864 36331 29065 14532 7266 0 0 0 0 7266 21798 29065 43597 65396 79929 94461 101728 108994 101728 101728 87195 79929 65396 50864 43597 36331 36331 36331 36331 43597 43597 50864 50864 50864 43597 36331 29065 21798 21798 21798 29065 43597 58130 79929 108994 130793 152592 159858 159858 152592 123527 94461 65396 43597 21798 0 0 0 0 0 8162 16324 24486 32649 40811 40811 32649 32649 24486 16324 16324 8162 8162 8162 0 0 0 0 0 0 8162 8162 16324 24486 40811 48973 73460 89784 114271 138758 163245 179569 195894 204056 204056 204056 187731 171407 155082 130596 114271 89784 73460 57135 48973 32649 24486 16324 8162 8162 0 0 0 8162 8162 16324 32649 48973 73460 97947 130596 171407 212218 253029 302003 334652 367301 391788 399950 391788 375463 342814 293841 244867 195894 138758 97947 57135 24486 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22072 46903 71734 93806 110360 121396 124155 126914 124155 121396 115878 107601 99324 85529 68975 52421 38626 22072 8277 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2759 8277 11036 13795 11036 8277 5518 0 0 0 0 0 0 2759 8277 16554 24831 30349 35867 41385 44144 44144 44144 41385 41385 38626 41385 41385 46903 52421 57939 66216 74493 77252 77252 68975 55180 38626 19313 2759 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 38540 64233 77080 89926 89926 89926 77080 64233 51386 38540 12846 0 0 0 0 0 0 0 0 0 0 0 25693 77080 128467 205547 282627 359707 411094 436788 411094 346861 269780 192700 115620 64233 25693 0 0 0 0 0 0 0 0 0 0 25693 38540 51386 64233 64233 51386 38540 25693 0 0 0 0 0 0 0 0 0 0 0 64233 179853 334014 526715 745109 950656 1104817 1143357 1053430 886423 655182 449634 256934 102773 0 0 0 0 0 552 441 552 552 662 883 994 1104 1215 1325 1436 1657 1767 1988 1988 2098 1988 1767 1546 1325 994 773 662 552 552 552 662 662 773 883 883 883 883 773 662 552 441 331 110 0 0 0 0 0 0 220 552 994 1546 2319 2982 3645 4087 4308 4308 3976 3645 3203 2761 2319 1878 1436 1104 773 441 220 110 0 0 0 0 110 220 220 220 220 331 441 773 1104 1657 2209 2651 2982 2982 2761 2319 1767 1215 773 0 0 0 0 0 0 0 0 25734 77203 102938 102938 102938 102938 77203 77203 51469 51469 51469 77203 102938 154407 231610 308814 386017 463221 540424 566159 540424 514690 411752 334548 231610 154407 77203 25734 0 0 0 0 0 0 0 0 0 25734 77203 128672 205876 257345 308814 360283 386017 411752 437486 463221 488955 514690 514690 540424 540424 540424 514690 488955 437486 386017 283079 205876 102938 0 0 0 0 0 0 0 0 154407 360283 643362 926442 1235256 1466867 1569805 1492601 1260991 952177 643362 360283 128672 38786 72031 99736 127440 149604 166227 182849 188390 193931 199472 199472 193931 182849 166227 144063 116358 83113 44327 16622 0 0 0 0 0 0 0 0 0 0 0 0 16622 27704 38786 55409 66490 77572 88654 88654 88654 77572 60949 44327 22163 5540 0 0 0 0 0 0 0 0 0 0 0 0 0 11081 27704 44327 49868 44327 38786 22163 11081 11081 16622 44327 88654 166227 260422 349076 371240 315831 210554 105277 22163 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7549 7549 11324 11324 18873 22648 26422 33972 33972 37747 37747 33972 33972 30197 22648 18873 15098 11324 11324 7549 7549 7549 7549 11324 15098 22648 26422 33972 41521 49071 52845 56620 56620 56620 52845 45296 41521 33972 30197 26422 22648 22648 18873 18873 18873 15098 15098 15098 15098 15098 18873 22648 26422 33972 41521 52845 60395 71719 79268 83043 86818 86818 83043 79268 71719 64169 60395 52845 52845 52845 56620 60395 67944 75494 86818 94367 101916 105691 109466 105691 98142 86818 71719 56620 45296 33972 22648 15098 11324 7549 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7636 38182 61092 84002 91638 99275 106911 99275 91638 84002 68729 45819 30546 15273 7636 0 0 0 0 7636 15273 30546 45819 68729 91638 114548 137458 152731 168004 168004 168004 152731 129821 106911 91638 68729 53455 45819 38182 30546 30546 22909 22909 15273 7636 0 0 0 0 0 0 7636 22909 38182 53455 76365 91638 114548 137458 152731 160367 160367 145094 122185 84002 38182 0 0 0 0 0 0 0 30546 145094 290189 458193 588015 610925 519286 366555 206187 84002 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 215347 215347 215347 246111 276875 323021 384549 430695 446077 461459 430695 384549 338403 292257 246111 215347 184583 169201 153819 153819 153819 153819 153819 153819 153819 153819 138437 138437 123055 123055 123055 107673 107673 107673 107673 107673 92291 92291 92291 92291 92291 92291 76909 76909 76909 61527 61527 61527 46145 46145 46145 46145 61527 76909 92291 123055 153819 199965 230729 261493 276875 276875 276875 261493 230729 215347 184583 169201 169201 169201 169201 184583 199965 184583 169201 138437 107673 76909 46145 15381 15381 30763 61527 107673 169201 215347 246111 261493 246111 230729 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 286083 699314 1080758 1430416 1652925 1716499 1652925 1493990 1335055 1176120 1048971 921823 858249 762888 667527 603953 476805 349657 222509 95361 0 0 0 0 0 0 0 0 0 0 0 31787 190722 349657 572166 699314 667527 508592 317870 158935 31787 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 190722 667527 1239694 1780073 2034369 1811860 1239694 635740 95361 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2245398 2566169 2806747 2886940 2967133 2967133 2967133 2967133 3047326 3047326 3127519 3047326 2967133 2806747 2485976 2085012 1684048 1202891 882120 561349 320771 160385 0 0 0 0 0 0 0 0 0 0 0 80192 160385 320771 400963 481156 481156 400963 240578 80192 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 721735 1764241 3047326 4170025 4570989 4089832 2886940 1603855 561349 0 0 0 0 0 0 240578 721735 1363277 1844434 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 414 1659 3319 4564 6223 6638 5808 4564 2904 1659 414 0 0 0 0 0 0 0 0 0 414 1244 2489 3319 4564 5808 7053 8298 9128 10372 11202 11617 12447 12862 13277 13277 13692 14107 14522 14936 14936 14107 12032 8713 4564 829 0 0 0 0 0 0 0 0 1244 9957 21160 30703 31948 24479 13692 4978 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 210726 421453 491695 491695 421453 280969 210726 70242 0 0 0 0 0 0 0 0 0 0 0 0 0 0 140484 351211 491695 632180 632180 491695 280969 70242 0 0 0 0 0 0 0 0 0 70242 210726 421453 702422 983391 1194118 1404845 1404845 1404845 1334602 1334602 1334602 1334602 1475087 1615571 1896540 2177509 2528721 2879932 3231143 3301385 3231143 2809690 2037025 1194118 351211 0 0 0 0 0 0 0 0 1123876 3231143 5268168 5759864 4284777 2317994 632180 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 98946 494731 890516 1286301 1682087 1879979 1879979 1682087 1286301 890516 395785 0 0 0 0 0 0 0 0 0 0 0 0 98946 296838 494731 593677 593677 494731 395785 197892 0 0 0 0 0 0 0 0 0 98946 197892 296838 494731 593677 692624 890516 1088409 1187355 1385248 1484194 1583140 1583140 1583140 1583140 1583140 1583140 1781033 1978926 2275765 2374711 2275765 1978926 1484194 890516 395785 0 0 0 296838 989463 2275765 4056798 6233617 8212543 8806221 7816758 5639939 3463120 1682087 395785 0 0 0 0 18132707 20147453 20147453 18535656 16520911 14103217 12491420 10879624 9670777 8864879 8058981 7656032 7656032 7656032 8058981 8058981 8058981 7253083 6447184 5238337 3626541 2014745 805898 0 0 0 0 0 0 0 0 402949 1611796 3223592 4835388 5238337 4432439 2820643 1611796 402949 0 0 0 0 0 0 0 0 0 0 0 0 402949 805898 1208847 2014745 2417694 3223592 3626541 3626541 3223592 2417694 1208847 0 0 0 0 0 0 0 0 0 0 3626541 10476675 18132707 23371045 22162198 15312064 6447184 0 0 0 0 0 0 0 2820643 8461930 13700268 3187914 2125276 1159241 483017 0 0 0 0 0 0 193206 289810 386413 386413 483017 483017 483017 579620 579620 676224 869431 966034 966034 1062638 966034 869431 772827 579620 386413 289810 193206 96603 0 0 0 0 96603 96603 193206 289810 386413 483017 483017 483017 483017 483017 386413 289810 289810 289810 386413 386413 483017 579620 676224 772827 772827 676224 676224 579620 483017 483017 483017 483017 579620 676224 966034 1159241 1449051 1738862 2028672 2221879 2318482 2415086 2511689 2511689 2415086 2318482 2125276 2028672 2028672 2125276 2415086 2898103 3381120 3960741 4540362 4733569 4636965 4057345 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 777409 1295682 1554819 1295682 1036546 518273 0 0 0 0 0 0 0 0 0 0 259136 1036546 1813956 3109638 3887048 4146185 3627912 2850502 1813956 1036546 518273 0 0 0 0 259136 518273 1036546 1813956 2850502 3887048 4405321 4664458 4146185 3109638 2332229 1554819 1036546 777409 518273 259136 259136 259136 259136 259136 259136 259136 518273 777409 1295682 2591365 4146185 6737550 10106326 13475101 15548194 15029921 11920282 7774097 3368775 0 0 0 0 0 0 3887048 12179419 21249199 24877111 20471789 12438555 5182731 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25186613 18558557 14581723 10604890 9279278 7953667 6628056 6628056 5302445 5302445 5302445 5302445 3976833 3976833 3976833 3976833 5302445 5302445 6628056 9279278 10604890 13256112 14581723 14581723 14581723 11930501 10604890 7953667 5302445 3976833 2651222 2651222 2651222 2651222 3976833 5302445 6628056 7953667 7953667 7953667 7953667 6628056 6628056 5302445 5302445 3976833 3976833 3976833 3976833 3976833 5302445 5302445 6628056 6628056 7953667 9279278 9279278 9279278 10604890 10604890 10604890 10604890 10604890 9279278 9279278 9279278 9279278 10604890 13256112 18558557 25186613 33140281 43745171 53024450 57001284 54350061 43745171 27837836 15907335 7953667 9279278 17232946 29163447 41093949 53024450 58326895 58326895 51698839 43745171 34465892 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4066612 30499595 50832658 65065803 69132416 67099109 60999190 52865965 48799352 44732739 42699433 40666127 38632820 36599514 30499595 22366369 14233144 8133225 2033306 0 0 0 0 0 0 0 0 0 6099919 12199838 20333063 22366369 16266450 8133225 2033306 0 0 0 0 0 0 0 4066612 10166531 18299757 26432982 28466289 26432982 22366369 16266450 10166531 8133225 4066612 2033306 0 0 0 0 0 0 2033306 6099919 12199838 24399676 44732739 75232335 113865156 136231526 115898462 69132416 22366369 0 0 0 0 0 0 0 56932578 119965075 134198219 81332254 18299757 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6121170 73454049 128544587 171392782 195877465 195877465 183635124 165271611 140786928 122423416 104059903 85696391 67332878 48969366 30605854 12242341 0 0 0 0 0 0 0 0 18363512 30605854 42848195 42848195 30605854 12242341 0 0 0 0 0 0 0 6121170 12242341 24484683 30605854 30605854 18363512 12242341 6121170 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24484683 79575220 165271611 269331515 348906736 348906736 250968003 122423416 6121170 0 0 0 42848195 257089174 520299518 654965276 550905372 318300882 110181074 0 0 0 0 90331735 76781975 67748801 54199041 45165867 36132694 27099520 27099520 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 22582933 18066347 13549760 13549760 13549760 9033173 9033173 9033173 9033173 13549760 13549760 13549760 13549760 13549760 13549760 13549760 9033173 9033173 9033173 9033173 13549760 13549760 13549760 18066347 18066347 22582933 22582933 22582933 22582933 22582933 22582933 22582933 27099520 27099520 31616107 36132694 40649281 45165867 49682454 58715628 63232214 72265388 81298562 90331735 94848322 99364909 99364909 94848322 85815148 85815148 90331735 103881496 130981016 153563950 162597124 158080537 135497603 108398082 90331735 85815148 94848322 112914669 130981016 144530777 140014190 126464429 108398082 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 148651448 74325724 33784420 6756884 0 0 0 0 0 0 0 0 0 0 0 0 0 6756884 13513768 20270652 27027536 33784420 40541304 40541304 33784420 27027536 13513768 6756884 0 0 0 0 6756884 13513768 20270652 27027536 27027536 20270652 13513768 6756884 0 0 0 0 0 0 0 6756884 13513768 20270652 27027536 33784420 40541304 47298188 54055072 60811956 60811956 67568840 67568840 74325724 81082608 87839492 101353260 108110144 108110144 101353260 74325724 47298188 6756884 0 0 0 20270652 114867028 256761592 405413040 466224996 378385504 222977172 74325724 0 0 47298188 175678984 351357968 506766300 581092024 533793836 398656156 256761592 94248 282744 502657 691154 816818 848234 816818 753986 659738 565489 502657 439825 376993 314160 251328 188496 125664 62832 31416 0 0 0 0 31416 31416 62832 94248 94248 94248 62832 62832 31416 0 0 0 0 31416 31416 62832 62832 62832 62832 62832 31416 31416 31416 0 0 0 31416 31416 31416 62832 62832 62832 94248 94248 125664 125664 157080 157080 157080 157080 125664 125664 94248 62832 62832 94248 219912 471241 879650 1350892 1633636 1570804 1162395 596905 188496 31416 219912 785402 1633636 2387623 2638952 2167710 1413724 691154 219912 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5890396 23561584 29451980 29451980 23561584 17671188 17671188 11780792 11780792 5890396 0 0 0 0 0 0 5890396 11780792 23561584 35342376 47123168 47123168 35342376 23561584 11780792 0 0 0 0 0 5890396 17671188 29451980 29451980 29451980 17671188 11780792 5890396 0 0 0 0 0 5890396 11780792 17671188 23561584 35342376 41232772 53013564 58903960 70684752 76575148 82465544 88355940 94246336 100136732 106027128 111917524 111917524 100136732 82465544 53013564 23561584 0 0 0 0 76575148 206163861 365204554 459450890 388766138 217944653 58903960 0 0 11780792 159040692 347533366 506574059 524245247 382875742 206163861 58903960 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2975368 8926106 17852213 23802951 29753689 23802951 14876844 5950737 2975368 0 0 0 2975368 5950737 11901475 17852213 20827582 14876844 8926106 2975368 2975368 0 0 0 0 2975368 2975368 5950737 11901475 17852213 20827582 26778320 29753689 32729058 35704427 35704427 38679796 38679796 41655165 44630534 53556641 62482748 77359593 92236438 98187176 89261069 68433486 41655165 11901475 0 0 0 0 20827582 107113283 217201935 249930994 157694555 38679796 0 0 0 0 80334962 205300459 276709314 232078780 133891604 47605903 0 0 0 0 16136289 40340722 56477011 64545156 64545156 64545156 56477011 48408867 40340722 28238505 20170361 12102216 8068144 0 0 0 0 0 0 4034072 12102216 16136289 20170361 20170361 16136289 8068144 4034072 0 0 0 0 4034072 8068144 12102216 12102216 12102216 8068144 4034072 4034072 0 0 0 0 0 4034072 8068144 12102216 16136289 20170361 24204433 28238505 32272578 36306650 40340722 44374794 48408867 56477011 60511083 68579228 72613300 72613300 68579228 56477011 36306650 12102216 0 0 0 0 48408867 149260673 270282840 318691707 233976190 96817734 0 0 0 32272578 177499179 334827996 387270936 294487274 149260673 36306650 0 0 94009838 63312748 40289930 24941385 15348545 9592840 3837136 1918568 0 0 0 0 1918568 3837136 5755704 7674272 9592840 11511408 11511408 11511408 11511408 9592840 7674272 3837136 1918568 0 0 0 0 1918568 3837136 3837136 5755704 3837136 3837136 1918568 0 0 0 0 0 1918568 1918568 3837136 3837136 3837136 3837136 3837136 1918568 1918568 1918568 0 0 0 0 0 0 0 0 0 0 0 0 3837136 7674272 15348545 28778522 44127067 57557044 65231316 57557044 38371362 15348545 0 0 1918568 40289930 101684111 159241155 168833995 118951224 53719907 7674272 0 5755704 42208498 90172702 128544065 141974042 124706928 472215743 901502784 1202003712 1373718528 1416647232 1416647232 1330789824 1244932416 1159075008 1030288896 901502784 772716672 643930560 515144448 386358336 257572224 171714816 85857408 42928704 0 0 0 0 0 42928704 42928704 85857408 128786112 128786112 85857408 42928704 0 0 0 0 0 42928704 42928704 85857408 85857408 85857408 42928704 42928704 0 0 0 0 0 0 0 42928704 42928704 85857408 85857408 128786112 171714816 214643520 257572224 300500928 343429632 343429632 343429632 300500928 257572224 171714816 85857408 0 0 0 0 171714816 686859264 1459575936 -2062674688 -1848031168 1845934272 815645376 0 0 0 729787968 2146435200 -817742272 -688956160 -1805102464 1116146304 171714816 0 0 42928704 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0