% 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 191 degrees 1818 1973 2077 2025 1921 1610 1194 727 207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 51 103 155 207 259 311 363 467 519 623 727 883 986 1142 1350 1558 1766 1973 2181 2285 2285 2129 1869 1454 934 363 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 51 103 103 155 207 259 311 363 467 519 623 727 831 986 1142 1298 1454 1662 0 0 0 0 144 432 864 1440 2304 3456 4896 6335 7344 7920 7776 7200 6335 5328 4320 3456 2736 2304 1872 1440 1152 1008 720 720 576 432 432 288 288 144 144 144 144 0 0 0 0 0 0 0 0 0 0 0 0 0 144 432 720 1296 2160 3167 4176 5040 5616 5616 5328 4752 4032 3456 2736 2304 1872 1440 1152 1008 720 576 576 432 288 288 144 144 144 144 0 0 0 0 0 0 0 0 0 0 2736 4299 6253 8599 11335 14852 18370 20715 20715 18370 13680 8208 3517 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 390 390 781 1563 1954 2736 3908 5081 7035 9380 12507 16416 20715 25406 29315 30096 27360 21106 13680 6253 781 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 390 1172 1954 812 1044 1392 1740 2205 2785 3365 4062 4642 4990 5106 4758 4178 3365 2669 1973 1392 1044 696 464 348 232 232 116 116 116 116 116 116 116 116 116 116 116 116 116 232 232 232 348 348 464 580 696 812 1044 1276 1624 1973 2437 3017 3597 4294 4758 5106 4990 4642 3946 3133 2437 1740 1276 928 696 464 348 232 116 116 116 0 0 0 0 0 0 0 0 116 116 116 116 116 232 232 232 348 464 580 696 9476 13029 17768 23690 31390 41458 52119 61003 65741 62188 52711 39089 26059 15991 8884 3553 592 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 592 592 1184 1184 1776 2369 2961 3553 4738 5330 5330 5330 4738 2961 592 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 592 1184 1776 2961 3553 5330 7107 99544 111684 121396 126252 123824 114112 97116 75265 48558 24279 4855 0 0 0 0 0 0 0 0 0 0 0 0 0 2427 4855 7283 9711 12139 14567 16995 19423 21851 26707 29135 33990 36418 41274 46130 50986 55842 60698 65553 70409 70409 70409 67981 60698 50986 36418 19423 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2427 7283 9711 12139 14567 19423 24279 29135 36418 43702 50986 63126 72837 84977 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6191 12382 17334 21049 23525 23525 23525 22287 21049 19811 18573 17334 16096 14858 13620 13620 12382 11143 11143 9905 9905 9905 8667 8667 8667 8667 8667 7429 7429 7429 7429 7429 7429 7429 7429 7429 8667 9905 12382 14858 19811 26002 33431 42098 48289 53242 55719 54480 52004 47051 42098 37146 32193 28478 23525 21049 17334 14858 13620 11143 9905 8667 7429 6191 4952 4952 3714 2476 2476 1238 1238 0 0 0 0 0 0 0 0 0 0 0 0 3625 10877 22963 37467 54388 70100 80977 84603 79769 70100 58013 47136 36258 27798 21755 15712 12086 8460 6043 4834 2417 1208 1208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2417 12086 21755 33841 42301 48344 49553 47136 41093 35050 29006 22963 18129 14503 10877 8460 6043 4834 2417 1208 1208 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1388 15268 33312 51356 68012 76340 77728 72176 61072 49968 40252 30536 23596 16656 12492 8328 5552 2776 1388 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5552 22208 43028 63848 80504 90220 88832 79116 66624 52744 41640 30536 23596 16656 12492 8328 5552 2776 1388 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 131744 147243 170492 201491 232489 271238 317736 356484 395232 426231 441730 433980 402982 364233 309986 263488 216990 178242 147243 123994 100745 85246 69746 54247 46497 38748 38748 30998 23248 23248 23248 15499 15499 15499 15499 7749 7749 7749 7749 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15499 23248 38748 38748 46497 46497 46497 54247 54247 54247 46497 46497 46497 46497 46497 46497 54247 54247 54247 54247 61997 61997 69746 69746 77496 92995 100745 116244 0 0 0 0 0 0 0 0 0 0 0 6760 27043 47326 64229 77751 84511 84511 81131 74370 64229 54087 47326 37185 30424 23663 16902 13521 10141 6760 3380 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16902 54087 101414 148741 196067 233253 250155 246774 226492 199448 169023 138599 114936 91272 74370 60848 47326 40565 30424 23663 20282 16902 10141 10141 6760 3380 0 0 0 0 0 0 0 0 0 0 5812 11624 17436 17436 17436 17436 5812 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11624 17436 34873 52310 75559 104620 151118 209241 284800 389420 505665 621910 703282 709094 621910 488229 342922 215053 116245 52310 5812 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 75754 80083 80083 80083 75754 67096 56274 43288 30301 15150 2164 0 0 0 0 0 0 0 0 0 0 0 0 2164 4328 6493 10822 12986 15150 17315 19479 21644 23808 25972 28137 32466 34630 36795 41123 43288 45452 47617 49781 51945 54110 54110 51945 49781 45452 38959 32466 21644 12986 2164 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2164 4328 6493 8657 10822 12986 15150 17315 19479 21644 23808 28137 32466 34630 38959 43288 49781 54110 60603 64932 71425 23328 20996 18663 18663 16330 13997 13997 13997 13997 13997 16330 18663 20996 23328 25661 27994 27994 30327 27994 27994 25661 23328 20996 18663 16330 13997 13997 11664 9331 9331 6998 6998 4665 4665 2332 2332 2332 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9331 20996 34993 48990 62988 72319 79318 83984 86316 86316 86316 83984 79318 74652 69986 67653 62988 58322 55989 51323 48990 44324 41992 39659 37326 34993 32660 32660 30327 27994 27994 25661 23328 5351 5351 5351 5351 5351 6020 6020 6689 7358 8027 10034 11372 14048 16055 18062 20738 22076 23414 24083 24752 24083 23414 22745 22076 20738 19400 18062 16724 16055 14717 13379 12041 11372 10034 9365 8027 7358 6689 5351 4682 4013 2675 2006 668 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 668 2006 2675 3344 4013 4682 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 5351 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1154 2885 4040 5771 6925 8080 9811 10965 12120 13274 14428 15583 16160 17314 17891 19046 19623 20200 20200 20777 20777 20777 20200 19623 19046 17891 16737 15006 13274 11543 9811 8080 6348 5194 4040 3462 3462 3462 3462 4040 4040 4617 5194 5194 5194 5771 5771 5194 5194 5194 5194 4617 4617 4040 4040 3462 3462 2885 2885 2308 1731 1154 1154 577 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2982 6959 10936 13919 17896 19884 21873 22867 22867 22867 22867 22867 21873 21873 20879 19884 19884 18890 18890 18890 17896 17896 17896 18890 18890 18890 19884 19884 20879 21873 21873 22867 23861 24855 25850 26844 27838 27838 27838 27838 26844 24855 22867 19884 16902 13919 11930 8948 6959 5965 3976 2982 1988 1988 994 994 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 83546 98076 116238 130768 148930 167093 177990 185255 188887 181622 170725 152563 130768 108973 87178 69016 54486 39957 29059 21794 14529 10897 3632 3632 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3632 7264 10897 14529 21794 29059 39957 50854 61751 72649 79914 87178 90811 87178 79914 69016 50854 36324 21794 7264 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3632 7264 10897 14529 21794 25427 32692 39957 50854 58119 72649 59779 57911 56043 52307 48570 42966 35494 28021 20549 14944 9340 3736 1868 0 0 0 1868 5604 7472 11208 13076 16812 18681 20549 22417 24285 26153 28021 29889 31757 31757 31757 33625 33625 33625 33625 33625 33625 33625 31757 31757 29889 28021 26153 24285 22417 18681 14944 9340 5604 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1868 3736 7472 9340 13076 14944 16812 20549 22417 26153 28021 31757 35494 39230 42966 46702 48570 52307 56043 57911 59779 3083 6166 12333 18500 27750 33916 46250 55500 67833 77083 86333 89416 89416 83250 74000 64749 52416 43166 30833 21583 15416 9250 3083 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3083 9250 18500 30833 43166 61666 83250 107916 132583 154166 169583 178833 175749 166500 148000 126416 107916 86333 67833 55500 43166 30833 24666 18500 12333 6166 3083 3083 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 127390 143313 155256 163218 167199 163218 151275 131371 107485 79618 51752 23885 3980 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3980 11942 19904 31847 43790 59714 79618 95542 119428 135352 155256 163218 163218 159237 143313 123409 103504 79618 59714 43790 31847 19904 11942 3980 0 0 0 0 0 0 0 0 0 3980 7961 7961 11942 15923 19904 27866 31847 39809 47771 59714 71656 83599 95542 111466 0 0 3512 7024 11708 17562 24587 31611 39807 46832 52686 56198 56198 53857 49174 42149 35124 29270 22245 17562 12878 10537 7024 4683 3512 2341 1170 1170 0 0 0 0 0 0 1170 1170 2341 2341 3512 4683 5854 8195 10537 12878 16391 19903 23416 28099 32782 36295 40978 43320 44490 43320 39807 33953 28099 21074 14049 8195 2341 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18537 21389 24241 25667 25667 24241 22815 18537 12833 7129 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 0 1425 5703 9981 14259 21389 29945 39927 52761 67021 82707 98393 111227 119782 118357 108375 92689 74151 54187 37075 21389 9981 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1425 2851 5703 7129 9981 12833 15685 14691 16026 18697 21368 24039 25375 26711 25375 24039 21368 17362 12019 6677 1335 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1335 9348 18697 30717 44073 58764 70784 81468 86810 85475 81468 73455 64106 53422 45408 37395 30717 25375 20033 17362 14691 12019 9348 8013 6677 6677 5342 5342 5342 5342 5342 5342 5342 6677 6677 8013 9348 10684 12019 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1211 2423 3634 4846 5451 6057 6663 7269 7269 7269 7269 7269 7269 7269 6663 6663 6663 6663 6057 6057 6057 6057 6057 6057 6057 6057 6057 6663 6663 7269 7269 7874 9086 9692 10903 12721 14538 16961 19384 21807 24230 26653 27865 29076 28470 27259 25442 22413 19384 16355 13326 10298 7874 6057 3634 2423 1211 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1275 3827 6378 10206 14033 19136 25515 33169 39548 48479 54857 61236 65064 67615 67615 65064 61236 56133 49754 44651 38272 33169 28066 22963 19136 16584 14033 11481 8930 7654 6378 5103 3827 3827 2551 2551 2551 2551 2551 3827 3827 5103 6378 7654 8930 10206 12757 14033 16584 17860 19136 19136 19136 17860 16584 15309 12757 8930 6378 3827 1275 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15888 19861 24627 29394 34955 40516 45283 49255 52433 53227 52433 49255 45283 40516 35750 30983 26216 22244 18272 15094 11916 10327 7944 6355 5561 3972 3177 2383 1588 794 794 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1588 3177 4766 7150 9533 12711 4686 5623 8435 10310 13122 16871 21557 25307 29993 34680 38429 41241 42178 42178 39366 36554 32805 28118 23432 18745 14996 12184 9372 6561 4686 2811 1874 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 937 937 2811 3749 4686 6561 8435 10310 12184 14059 15934 16871 18745 19683 19683 19683 19683 18745 17808 16871 14996 14059 13122 11247 10310 8435 7498 6561 5623 4686 3749 2811 2811 1874 1874 937 937 937 937 937 937 1874 1874 2811 7936 7936 8730 9523 10317 10317 11111 11111 11904 11904 11904 12698 12698 12698 11904 11904 11904 11904 11904 11111 11111 11111 10317 10317 10317 10317 9523 9523 9523 9523 9523 9523 8730 8730 8730 8730 8730 8730 8730 8730 8730 8730 7936 7936 7936 7936 7936 7936 7936 7936 7936 8730 8730 9523 9523 10317 11111 11111 11904 11904 11904 11904 11904 11111 10317 10317 9523 8730 7936 7142 6349 6349 5555 4761 4761 4761 3968 3968 3968 3968 3968 3968 3968 4761 4761 5555 5555 6349 6349 7142 6396 8529 11372 14925 19190 24876 31984 39091 46910 54728 60414 63257 61835 57571 50463 41934 33405 25587 19190 13504 9239 5686 2843 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 710 2132 2843 4264 23221 24081 25801 25801 25801 25801 24941 23221 21501 19781 17201 14621 12040 9460 6880 5160 3440 1720 860 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 860 1720 2580 3440 4300 6020 7740 9460 11180 12900 14621 15481 17201 18061 18921 18921 18921 18061 17201 16341 14621 13760 12040 11180 9460 8600 7740 6880 6880 6020 6020 6020 6020 6020 6020 6020 6020 6880 6880 7740 8600 9460 10320 11180 12900 13760 15481 17201 18061 19781 21501 3488 3488 3488 3488 3662 3837 4185 4534 4883 5232 5581 5930 6104 6104 6104 5755 5232 4534 3837 3139 2441 1918 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 0 174 697 1046 1395 1744 2092 2616 2965 3313 3662 4011 4185 4360 4534 4534 4534 4534 4360 4185 4011 3837 3837 3662 11137 12656 14175 15693 17212 18225 18731 18731 18731 17718 16706 15187 13668 11643 10125 8606 6581 5568 4050 3037 2531 1518 1012 506 0 0 0 0 0 0 0 0 0 0 0 506 1012 1518 2025 2531 3037 4050 4556 5568 6581 7593 8606 9618 10631 11137 11643 12150 12150 12150 11643 10631 9618 8606 7593 6075 5062 4050 3037 2025 1518 1012 506 0 0 0 0 0 0 0 0 0 0 0 0 0 506 1012 2025 2531 3543 4556 5568 6581 8100 9618 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 46 115 161 230 276 345 391 460 529 575 644 690 736 759 805 828 851 874 874 874 851 851 828 805 782 736 713 667 621 575 529 483 460 414 368 322 299 276 230 207 184 161 138 115 115 92 69 46 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14762 15943 17124 18305 18895 20076 21257 21848 22438 23029 23619 23619 23029 23029 22438 21257 20076 18895 17714 16533 14762 13581 11809 10628 9447 8266 7085 6495 5314 4723 4133 3542 2952 2361 1771 1180 1180 590 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1180 2361 3542 4133 5314 7085 8266 9447 10628 11809 12990 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 207 622 830 1245 1660 2075 2490 2905 3321 3736 4151 4774 5189 5604 6019 6434 6849 7264 7472 7680 7680 7887 7680 7680 7264 7057 6642 6434 6019 5604 5189 4774 4358 3943 3736 3321 3113 2905 2490 2490 2283 2075 1868 1868 1660 1660 1452 1452 1245 1245 1037 830 622 622 415 207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5189 5881 6227 6573 6919 7611 7957 8303 8303 8649 8649 8649 8649 8303 8303 7611 7265 6919 6227 5535 5189 4497 4151 3805 3113 2767 2421 2421 2075 2075 1729 1729 1729 1729 1729 2075 2075 2421 2421 2767 3113 3113 3459 3805 4151 4151 4497 4843 4843 4843 4843 4843 4843 4497 4497 4151 3805 3459 3113 2767 2421 2421 2075 1729 1729 1383 1383 1383 1037 1037 1037 1037 1037 1037 1383 1383 1383 1729 1729 1729 2075 2421 2421 2767 3113 3459 3805 4151 4497 4843 6750 7875 8775 9675 10575 11250 11700 11925 11700 11475 11025 10350 9675 8775 7875 6975 6300 5625 4950 4275 3600 3150 2700 2250 2025 1800 1350 1125 1125 900 675 675 450 450 450 225 225 225 225 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 225 675 1125 1800 2475 3150 3825 4725 5850 0 0 0 0 0 0 0 35 107 179 287 394 502 610 717 825 933 1004 1076 1148 1184 1220 1220 1184 1148 1076 1004 897 825 717 610 538 430 358 251 179 143 71 35 0 0 0 0 0 0 0 0 0 0 0 0 0 35 107 143 215 323 394 466 574 646 753 825 861 897 933 933 933 897 861 789 717 646 538 466 358 287 215 143 71 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1096 1644 2192 2192 2192 2740 2740 3288 3836 3836 4384 4932 5481 6029 7125 7673 8221 9317 9865 10414 10962 10962 11510 11510 11510 11510 10962 10962 10414 10414 9865 9317 9317 8769 8769 8769 8769 8769 8769 8769 9317 9317 9865 10414 10414 10962 11510 11510 12058 12058 12606 12606 12606 12058 12058 11510 10962 9865 9317 8221 7125 6029 4932 3836 2740 1644 548 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 548 1096 0 0 0 0 0 0 0 0 0 0 0 0 15 30 45 60 75 91 106 121 136 151 151 166 182 182 197 197 212 212 227 227 242 258 273 288 288 303 318 333 349 349 364 364 364 364 364 364 349 349 333 318 318 303 303 288 288 288 288 288 288 288 288 288 273 273 258 242 227 197 182 166 136 121 91 75 60 30 15 0 0 0 0 0 0 0 0 0 0 0 4506 6586 9012 11439 13866 16292 18025 19412 19759 19759 19065 18372 16986 15946 14906 13519 12479 11786 10746 10052 9012 8319 7626 6933 5893 5199 4506 3813 2773 2079 1733 1039 346 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1386 2773 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 35669 37580 38217 38217 36943 35032 32484 29299 25478 21656 17834 14012 10828 7643 5095 2547 636 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 636 1910 2547 3821 5095 7006 8280 10191 12739 14649 17197 19745 22930 25478 28662 31210 33758 3484 2090 1393 1393 696 696 696 1393 1393 2090 2090 2787 3484 3484 3484 2787 2090 1393 696 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1393 2787 5575 8363 11848 15333 20211 25090 31363 36938 42514 47393 50181 50878 49484 45999 41120 36241 30666 25090 20908 16727 13242 10454 8363 6272 4878 4448 4852 5257 6066 6470 6875 7279 8088 8492 9301 9705 10514 10919 11728 12132 12941 13345 13345 13750 13750 13750 13345 12941 12132 11323 10514 9705 8897 8088 7279 6470 5661 5257 4448 4044 3639 3235 2830 2426 2022 2022 1617 1213 1213 808 808 404 404 0 0 0 0 0 0 0 0 0 0 0 404 404 808 808 1213 1213 1617 1617 1617 2022 2022 2022 2022 2022 2022 1617 1617 1617 1617 1617 1617 1617 2022 2022 2022 2426 2830 2830 3235 3639 4044 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 224 449 449 674 899 1123 1348 1798 2247 2697 3371 4045 4945 6068 7417 8766 10564 12362 14160 15959 17307 17757 17307 16183 14160 11913 9440 7417 5394 3821 2472 1573 674 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2215 4431 7754 12185 16616 21047 25478 32125 37664 44311 49850 55389 60928 63143 64251 63143 60928 56496 50957 45419 39880 34341 28802 24371 19940 16616 14401 12185 9970 8862 7754 7754 7754 7754 7754 7754 7754 7754 6646 6646 5538 5538 4431 4431 3323 2215 2215 1107 1107 1107 1107 1107 1107 1107 1107 2215 2215 2215 2215 2215 1107 1107 0 2084 2084 2084 2084 2084 2084 1910 1910 1910 1737 1737 1563 1563 1563 1389 1389 1389 1389 1389 1389 1389 1389 1389 1389 1389 1563 1563 1563 1563 1563 1389 1389 1216 1216 1042 1042 868 868 694 694 521 521 521 347 347 521 521 521 694 868 868 1042 1216 1389 1737 1910 2084 2258 2605 2779 2953 3126 3300 3300 3474 3474 3474 3648 3648 3648 3648 3648 3474 3474 3474 3300 3300 3126 2953 2953 2779 2605 2605 2432 2432 2258 2258 2084 2084 2084 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1224 3673 7347 11021 15920 20819 25717 30616 36739 42863 47761 52660 57559 60008 61233 61233 60008 56334 51435 45312 39189 34290 28167 23268 18369 14695 11021 7347 4898 2449 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2449 3673 7347 9797 12246 15920 18369 20819 23268 24493 25717 25717 24493 22043 19594 15920 12246 8572 4898 1224 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2530 5060 7590 7590 7590 7590 7590 7590 7590 5060 7590 7590 10120 12650 15180 20240 27830 35420 45540 55660 65781 78431 91081 98671 103731 106261 101201 91081 78431 65781 53130 40480 27830 17710 10120 2530 0 0 0 0 0 0 0 0 5060 10120 20240 30360 43010 58190 70841 86021 98671 106261 111321 108791 101201 91081 75901 63250 48070 35420 22770 12650 5060 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18778 18778 18778 18778 17526 17526 17526 17526 18778 20030 22534 26290 30045 36305 43816 52580 61343 72610 82625 90137 92641 88885 80122 67603 52580 38809 26290 16274 8763 2503 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2503 6259 8763 11267 13770 16274 17526 0 40 80 141 181 242 302 363 423 484 565 625 686 747 787 827 868 868 847 807 747 686 585 504 403 323 222 161 100 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 40 60 80 100 121 161 201 222 262 323 363 403 444 464 484 484 464 444 383 343 262 201 141 80 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1300 866 433 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 216 650 1300 2167 2817 3901 4768 5851 6935 7802 8669 9536 9970 10186 10186 9753 9319 8669 7802 6935 6068 5201 4334 3684 2817 2167 1517 1083 433 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 216 433 650 1083 1300 1733 1950 2384 2600 3034 3251 3467 3684 3901 3901 3901 3901 3684 3467 3034 2817 2384 1950 0 0 0 0 0 0 104 208 312 416 520 624 728 728 728 832 832 832 832 728 728 728 624 624 624 624 624 624 728 832 936 1040 1248 1352 1456 1664 1664 1768 1768 1664 1560 1456 1352 1144 936 728 624 416 312 208 104 104 0 0 104 208 312 520 832 1040 1456 1872 2288 2809 3329 3953 4473 4889 5202 5306 5097 4785 4265 3641 3017 2288 1664 1144 624 208 0 0 0 0 0 0 0 0 0 0 6025 6025 6025 7230 7230 8435 8435 8435 8435 8435 8435 8435 8435 8435 8435 8435 8435 9640 10845 12050 13255 15665 18075 20485 22895 26510 30125 32535 36150 37355 38560 38560 37355 34945 31330 27715 24100 19280 15665 10845 8435 4820 2410 1205 0 0 0 0 0 0 0 0 2410 3615 4820 7230 8435 10845 12050 13255 14460 14460 15665 15665 15665 16870 16870 16870 18075 18075 18075 19280 19280 19280 19280 19280 19280 18075 16870 15665 14460 12050 10845 9640 8435 7230 6025 6025 6025 6025 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 469481 408245 336802 265359 209225 158194 117370 86752 66339 45927 30618 25515 15309 10206 5103 5103 5103 5103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5103 25515 51030 81649 122473 173504 234740 306183 382729 454172 494997 500100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 173 606 1039 1559 2166 2773 3379 3986 4419 4766 4939 4939 4766 4593 4333 3986 3639 3379 3119 2859 2599 2426 2339 2166 2079 1906 1733 1559 1386 1126 866 606 259 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20599 24345 28090 30899 32772 32772 32772 31836 29963 28090 27154 25281 24345 23409 23409 23409 24345 25281 27154 29027 30899 33708 34645 36518 36518 34645 31836 29027 24345 19663 14981 11236 8427 4681 2809 936 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2809 6554 11236 15918 38641 23184 11592 3864 0 0 0 0 0 0 0 0 0 0 0 0 0 3864 11592 19320 27048 38641 54097 69554 88875 112060 131380 154565 173886 181614 185478 173886 158429 135244 112060 88875 69554 50233 34777 23184 15456 7728 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3864 15456 34777 54097 77282 100467 123652 146837 162293 166157 162293 150701 131380 112060 92739 69554 54097 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9635 32116 61021 86715 99562 89926 67445 41751 19270 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6423 22481 48175 83503 134890 211970 314744 427153 468905 395036 269780 163795 93138 48175 19270 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 62237 81687 97246 108916 116696 120585 116696 112806 108916 105026 101136 105026 108916 116696 124475 136145 147815 155594 155594 147815 128365 105026 73907 46678 19449 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7779 15559 23339 35008 42788 50568 58348 70017 77797 81687 89467 93356 93356 89467 85577 73907 58348 42788 23339 7779 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3889 23339 42788 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13122 32805 52488 72171 104976 144342 183708 229635 269001 295245 308367 301806 282123 242756 209952 170586 137781 104976 78732 59049 45927 32805 26244 13122 6561 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19683 45927 85293 124658 177147 229635 275562 314928 341172 341172 314928 269001 216513 164025 111537 72171 32805 6561 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14212 49745 85277 142129 198981 262940 326898 362430 383750 369537 341111 291366 241620 198981 156342 113703 78171 49745 21319 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14212 49745 99490 156342 227407 312685 390856 447708 454815 412176 326898 241620 156342 92384 35532 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3639 10919 18198 25478 36397 47316 58235 72794 90993 112831 141949 171067 203824 236582 262060 280259 280259 262060 229302 185626 145589 109191 76434 50956 32757 18198 7279 0 0 0 0 0 0 3639 7279 10919 10919 10919 7279 3639 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10919 21838 32757 43676 54595 58235 58235 54595 40037 25478 10919 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 693923 991319 1288715 1635677 1883507 2131337 2230469 2180903 2032205 1833941 1586111 1338281 1090451 892187 693923 495659 346961 247829 99131 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 148697 297395 545225 793055 1040885 1288715 1486979 1635677 1685243 1685243 1635677 1536545 1437413 1338281 1189583 1090451 991319 892187 793055 693923 644357 545225 446093 346961 297395 198263 148697 49565 0 0 0 0 0 0 0 0 0 0 99131 247829 495659 806595 907419 1008244 1109068 1209892 1243501 1277109 1209892 1142676 1008244 873811 739378 604946 504122 403297 336081 268865 235256 235256 235256 235256 235256 268865 302473 302473 336081 336081 336081 336081 336081 336081 336081 302473 302473 268865 235256 201648 168040 134432 67216 33608 0 0 0 0 0 0 0 0 0 0 0 0 0 100824 201648 302473 436905 537730 672162 772987 840203 873811 840203 806595 705770 571338 436905 302473 201648 100824 33608 0 0 0 0 0 0 0 33608 100824 168040 268865 336081 403297 470513 504122 571338 638554 705770 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 161143 376002 698289 1128006 1638295 2014297 2041154 1718867 1262292 832576 483431 241715 80571 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26857 134286 241715 376002 564003 805718 1047434 1342864 1584580 1718867 1718867 1504008 1208578 859433 564003 322287 134286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 144537 144537 144537 289074 433611 722685 1300834 1878982 2890742 4191576 5926021 7805004 9105838 9394912 8094078 6215095 4191576 2457130 1156296 289074 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 578148 1589908 2890742 4625187 6504170 8527689 10117597 10695746 9828523 8094078 6070558 4047039 2457130 1156296 289074 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 679325 679325 849157 1018988 1358651 1528482 1698314 1868145 2037977 2207808 2377640 2547471 2717303 3056965 3226797 3566460 3736291 3906123 3906123 3566460 3056965 2547471 1698314 1018988 339662 0 0 0 0 0 0 0 0 849157 1868145 3056965 4585448 6113931 7642414 8831234 9340729 9170897 8321740 7132920 5944100 4755280 3566460 2547471 1698314 849157 169831 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 339662 1358651 2207808 3056965 3566460 3736291 3566460 3056965 2207808 1528482 1018988 509494 0 0 0 0 0 0 0 169831 339662 339662 509494 509494 1866965 1680269 1493572 1306876 1306876 1120179 1306876 1306876 1493572 1680269 2053662 2240359 2613752 2800448 2987145 2987145 2987145 2800448 2613752 2427055 2427055 2240359 2240359 2240359 2240359 2053662 2053662 1866965 1680269 1493572 1306876 1120179 933482 746786 933482 933482 1306876 1493572 1866965 2240359 2427055 2800448 2800448 2987145 2987145 2987145 2800448 2987145 2987145 3173842 3360538 3733931 3920628 4294021 4480718 4667414 4667414 4854111 4667414 4480718 4107325 3733931 2987145 2427055 1680269 933482 373393 0 0 0 0 0 0 0 0 0 186696 560089 746786 1120179 1493572 1680269 2053662 2240359 2427055 2427055 2427055 2427055 2240359 2053662 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 199142 1194855 2389711 3186281 3584566 3186281 2389711 1194855 199142 0 0 0 0 0 0 0 0 0 0 0 0 199142 1393998 3186281 5177707 7169133 8762274 10156272 10554558 10753700 10355415 9757987 9359702 8762274 8563132 8363989 8363989 8164846 7965704 7368276 6571705 5376850 3783709 2190568 597427 0 0 0 0 0 0 0 0 0 0 0 0 0 597427 1792283 3186281 3982852 3783709 2987139 1991426 796570 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 430087 716812 1146900 1433625 1863713 2007075 2150438 2007075 1863713 1576988 1290262 860175 573450 143362 0 0 0 0 0 0 0 0 286725 716812 1433625 2150438 2867251 3727426 4157514 4444239 4157514 3584063 2723888 1863713 1146900 573450 0 0 0 0 0 0 286725 716812 1290262 2007075 2580525 3297338 3870788 4300876 4587601 4587601 4444239 4157514 3727426 3153976 2580525 2007075 1433625 860175 430087 0 0 0 0 0 0 0 430087 1003537 1863713 2723888 3727426 4587601 5161051 5304414 4874326 4157514 3153976 2293800 1433625 716812 143362 0 0 0 5706385 4279789 2853192 1664362 951064 237766 0 0 237766 475532 951064 1664362 2377660 3328725 4279789 5468619 6895216 8321812 9986175 11412771 12126069 11888303 10223941 7608514 4755321 2139894 237766 0 0 0 0 0 0 0 0 0 0 0 0 237766 2853192 5944151 9035110 10223941 9272877 6657450 4042023 1902128 237766 0 0 0 0 0 0 0 0 0 0 0 0 951064 2139894 3566491 4993087 6181918 7132982 7370748 6657450 5468619 3804257 1902128 237766 0 0 0 0 0 0 0 0 0 0 0 0 0 1902128 3804257 5468619 6181918 7092237 7700143 7497508 6686966 5471154 4255342 3242165 2431624 2026353 1621082 1418447 1418447 1621082 1823718 2026353 2431624 2836895 3039530 3242165 3444801 3444801 3444801 3242165 3039530 2634259 2026353 1418447 810541 202635 0 0 0 0 0 0 0 0 405270 1215812 2026353 2836895 3242165 3242165 2836895 2431624 1823718 1418447 1013176 810541 405270 202635 0 0 0 0 0 0 0 0 0 0 0 0 405270 1418447 2634259 4052707 5876425 7902779 9523861 10537038 10131768 8510685 6281696 3850071 2026353 405270 0 0 0 0 0 0 0 0 0 1013176 2431624 4052707 5673790 5204787 7156582 9108377 11060172 12361369 13011968 13662566 14313164 14313164 14963763 14963763 14963763 14963763 14313164 13011968 11710771 9758976 8457779 6505984 5204787 3252992 1951795 0 0 0 0 0 0 0 0 0 0 0 0 0 1301196 3903590 7156582 8457779 9108377 7807180 5855385 3903590 1951795 650598 0 0 1301196 2602393 4554188 5855385 7156582 7807180 7807180 7156582 6505984 5204787 3903590 2602393 1951795 1301196 1301196 1951795 2602393 3252992 3903590 4554188 4554188 5204787 5855385 7156582 9108377 11710771 14963763 18867353 23421542 26674534 28626329 27975731 24722739 20819148 15614361 11710771 7807180 5204787 3252992 1951795 1951795 2602393 3903590 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2446227 4892454 8969499 12231135 16308180 18754407 19569816 18754407 15492771 11415726 7338681 3261636 0 0 0 0 0 0 1630818 4892454 8154090 11415726 13861953 15492771 17123589 17938998 17938998 19569816 21200634 22831452 25277678 27723906 30170133 30985542 30985542 30985542 29354724 27723906 26093088 23646861 22016043 20385225 17938998 15492771 13046544 9784908 5707863 2446227 0 0 0 0 0 0 0 0 0 1630818 5707863 10600317 14677362 17938998 18754407 16308180 13046544 8969499 4892454 1630818 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13340864 12287638 10883337 8776884 7021507 5266130 4212904 3159678 2457527 2106452 2106452 2106452 2457527 2808603 3510753 4212904 5266130 6670432 7723658 9127960 9830110 9830110 9479035 8425809 6670432 4563980 2808603 1053226 0 0 0 0 0 0 0 0 1755376 4212904 7021507 9830110 11585487 12287638 11234412 9127960 7021507 5266130 3510753 2106452 1053226 351075 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 702150 2457527 4212904 6319356 8074733 8776884 8074733 6319356 4212904 1755376 0 0 0 0 0 0 0 0 0 2106452 4212904 6670432 9479035 11585487 12989789 46436315 48758130 48758130 46436315 39470867 32505420 23218157 16252710 11609078 6965447 4643631 2321815 2321815 0 2321815 2321815 4643631 9287263 13930894 18574526 20896341 23218157 23218157 20896341 16252710 9287263 2321815 0 0 0 0 0 0 0 0 0 6965447 13930894 20896341 25539973 30183604 34827236 37149052 39470867 44114499 48758130 53401762 58045393 62689025 62689025 60367209 55723578 48758130 41792683 34827236 25539973 18574526 11609078 6965447 2321815 0 0 0 0 4643631 11609078 20896341 32505420 41792683 51079946 55723578 58045393 60367209 58045393 58045393 55723578 55723578 51079946 46436315 41792683 34827236 30183604 25539973 20896341 18574526 18574526 20896341 25539973 32505420 39470867 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9507023 12676030 13864408 13468282 12279904 10299275 8714771 7922519 7130267 6338015 6338015 6734141 7130267 7922519 9507023 11091526 13072156 15052786 16637290 16241164 13864408 10299275 5941889 2772881 396125 0 0 0 0 0 0 0 0 0 1980629 6734141 12279904 15845038 14656660 9903149 4753511 792251 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4357385 9903149 16637290 19014046 15052786 8318645 2376755 0 0 0 0 0 0 0 0 0 0 2772881 5941889 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 99752410 53712836 23019786 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7673262 30693049 53712836 84405885 115098934 145791983 161138508 168811770 161138508 138118721 99752410 69059360 38366311 15346524 0 0 7673262 38366311 76732623 138118721 207178082 268564180 306930492 306930492 268564180 214851344 153465246 99752410 53712836 15346524 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23019786 61386098 115098934 191831557 276237443 345296803 375989853 345296803 253217656 153465246 61386098 0 0 0 0 0 0 38366311 107425672 184158295 260890918 314603754 322277017 283910705 214851344 153465246 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13550160 40650480 81300961 135501601 196477322 230352723 216802562 169377002 94851121 33875400 0 0 0 0 0 0 6775080 67750800 149051761 250677963 338754004 372629404 345529084 271003203 189702242 121951441 60975720 20325240 0 0 0 0 0 0 0 0 0 0 0 33875400 74525880 128726521 189702242 271003203 338754004 372629404 352304164 271003203 169377002 81300961 6775080 0 0 0 0 0 0 13550160 74525880 149051761 210027482 223577642 189702242 128726521 74525880 27100320 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5811956 40683696 75555436 104615219 110427176 98803262 81367392 58119566 40683696 29059783 29059783 29059783 40683696 52307609 81367392 110427176 151110872 174358699 168546742 122051089 63931523 17435869 0 0 0 0 0 0 0 0 0 0 29059783 139486959 226666308 145298916 34871739 0 0 0 0 0 0 0 0 0 0 0 17435869 63931523 110427176 151110872 185982612 215042395 244102178 273161962 290597832 302221745 302221745 278973918 238290222 174358699 104615219 40683696 0 0 0 0 0 0 0 0 0 0 5811956 104615219 203418482 180170655 63931523 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 116523389 233046778 349570167 466093556 582616945 699140334 699140334 699140334 582616945 466093556 349570167 233046778 116523389 116523389 233046778 466093556 699140334 1048710502 1514804059 1864374226 2097421004 -2081022902 2097421004 1747850837 1281757280 815663724 349570167 116523389 116523389 233046778 466093556 815663724 1398280669 1864374226 -1964499513 -1614929346 -1498405957 -1498405957 -1731452735 -1964499513 1980897615 1631327448 1281757280 932187113 582616945 349570167 116523389 0 0 0 0 0 0 0 349570167 1048710502 1864374226 -1265359178 -100125287 1065108605 1880772329 1997295718 1298155383 16398102 -1381882567 1747850837 815663724 116523389 0 0 0 466093556 1398280669 -1964499513 -1032312400 -566218843 -682742233 -1265359178 -2081022902 1514804059 932187113 466093556 233046778 0 0 0 0 150803312 452409936 754016560 1055623184 1206426496 1357229808 1508033120 1357229808 1357229808 1055623184 904819872 603213248 452409936 301606624 150803312 0 0 0 301606624 603213248 1206426496 2111246368 -977294432 229132065 832345313 681542001 -374081183 -1882114304 1206426496 301606624 0 0 301606624 1206426496 -1731310992 -72474559 1586361873 -1652982239 -1803785551 1435558561 78328753 -1278901056 1960443056 1055623184 603213248 301606624 0 0 0 0 0 0 0 0 0 0 0 0 150803312 603213248 1357229808 -1882114304 -675687808 681542001 1435558561 1586361873 681542001 -826491120 1960443056 603213248 0 0 0 0 904819872 -2032917616 -223277871 983148625 1133951937 78328753 -1429704368 1658836432 603213248 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15679713 78398565 156797130 203836269 250875409 266555122 282234835 282234835 266555122 250875409 235195695 219515982 188156556 172476843 156797130 141117417 125437704 94078278 62718852 15679713 0 0 0 0 0 0 0 47039139 141117417 250875409 329273974 313594261 219515982 94078278 0 0 0 0 0 0 78398565 219515982 376313113 517430531 595829096 580149383 501750818 376313113 266555122 172476843 94078278 47039139 15679713 0 0 15679713 47039139 78398565 125437704 188156556 282234835 407672539 533110244 674227661 752626227 721266801 580149383 376313113 172476843 0 0 0 0 0 0 0 172476843 376313113 517430531 486071105 313594261 125437704 0 0 0 0 0 0 0 -528262805 -1469938928 1883352245 1255568163 627784081 313892040 0 0 0 0 0 0 0 0 0 313892040 627784081 1255568163 1569460204 -2097723010 -1469938928 -842154846 413413317 1355089440 1982873522 1982873522 1041197399 -214370764 -1469938928 1883352245 941676122 941676122 1255568163 -1783830969 413413317 -1056525610 1768502758 -329220252 298563830 -957004333 1454610717 -428741528 1982873522 413413317 -842154846 -1469938928 -1783830969 -1783830969 -842154846 99521276 1355089440 -1684309692 -428741528 199042553 512934594 199042553 -428741528 -1370417651 1668981481 727305358 99521276 -528262805 -1156046887 -1783830969 1883352245 1255568163 313892040 0 0 0 941676122 -1783830969 -214370764 1355089440 -1998201733 1668981481 99521276 -2097723010 313892040 0 0 0 0 0 313892040 1569460204 -1156046887 -214370764 413413317 99521276 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1327235938 18549505 -626518959 -1935205392 2027952919 -1621945913 -1308686434 0 0 0 0 0 0 995426954 -1953754898 -1916655887 756365496 -1566297397 -939778438 682167474 331808984 0 0 0 0 0 0 0 0 331808984 1990853908 -976877449 18549505 350358490 18549505 -645068464 -1640495419 1327235938 0 0 0 0 0 0 0 0 1990853908 -1953754898 719266485 756365496 1106723987 92747527 -939778438 18549505 0 0 0 0 0 1327235938 1013976459 2027952919 2046502424 2046502424 -1935205392 2009403413 -1308686434 663617969 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 583320408 -1961685663 -211724438 2121557196 -423448875 1326512350 -1801814129 -635173312 -635173312 -635173312 -635173312 -1218493720 1909832759 159871534 2121557196 -795044846 1166640816 0 0 0 0 0 0 1166640816 954916379 -1801814129 1486383884 -1853667032 108018630 1114787913 2121557196 1166640816 0 0 0 583320408 1538236788 1114787913 1857979856 -898750652 1062935010 2069704293 1909832759 -211724438 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1749961225 -1590089692 531467505 -475301778 1062935010 1646255418 691339039 531467505 1538236788 0 0 0 0 0 954916379 -635173312 319743068 319743068 -51852904 -1590089692 -1961685663 0 0 0 0 0 0 0 0 0 260508385 521016770 781525155 1042033540 1302541926 1563050311 1823558696 2084067081 1823558696 1823558696 1563050311 1302541926 781525155 781525155 521016770 521016770 781525155 1302541926 2084067081 -1429375059 -647849903 -126833133 -126833133 -647849903 -1429375059 1823558696 1042033540 521016770 521016770 1302541926 -1950391829 -387341518 915200408 1436217178 654692023 -647849903 2084067081 781525155 0 0 0 781525155 1563050311 -1689883444 -647849903 133675252 915200408 1696725564 -1816716577 -1295699806 -774683036 -514174651 -774683036 -1295699806 -1816716577 1436217178 394183638 -647849903 -1689883444 1823558696 1302541926 1302541926 1823558696 -1168866674 394183638 -1556208191 267350505 1048875661 267350505 1957233949 -908358289 1042033540 0 0 0 1302541926 -1168866674 654692023 1957233949 1696725564 394183638 -1429375059 1302541926 0 0 0 0 0 0 0 0 1616944663 -1869550301 -1061077970 -1061077970 -1061077970 -1061077970 -1869550301 808472331 0 0 0 0 0 0 0 0 0 0 -2122155939 -1010422550 -1768239463 404571895 101310838 -757816913 1616944663 0 0 0 0 0 555866694 -454555856 -1970189681 758488371 -909111712 -1263028188 555866694 0 0 0 0 0 0 0 0 0 0 -1061077970 1364339025 -1313683607 -1313683607 1364339025 -1061077970 0 0 0 0 0 0 0 0 0 0 -757816913 657177532 1011094008 505882733 707832951 -454555856 555866694 0 0 0 0 -1061077970 1667600082 -2020845100 2072171977 2072171977 -403900437 606522113 -1313683607 808472331 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0