Input: 0.23254284 0.0064518023 0.0046247924 0.0035660209 0.006027176 0.0016971076 0.0018437711 0.001845168 0.00941301 0.0016915203 0.002174812 0.0014764137 0.0054489025 0.0016691716 0.0011719121 0.003820238 0.008528838 0.0058860998 0.0025589308 0.0044515897 0.007926819 0.017437605 0.0013590828 0.00066068466 0.0024639487 0.0006830334 0.00095261505 0.0008590297 0.0052421764 0.0012319743 0.00088696566 0.0007137629 0.0067311614 0.00065928785 0.0010042966 0.0008995368 0.003799286 0.001741805 0.0007151597 0.000678843 0.0018954526 0.00062855834 0.0007151597 0.0016105061 0.0017878993 0.001035026 0.0012948302 0.00095261505 0.0025072494 0.00097636064 0.00089814 0.0021957639 0.0016468229 0.00082550664 0.00069560454 0.00059084484 0.0016566004 0.0009931222 0.001234768 0.0015448567 0.0018675167 0.001227784 0.0006481135 0.00057827367 0.0241981 0.0057911174 0.0036791614 0.0030911101 0.0036959231 0.017598236 0.0031274268 0.0019275789 0.0049642143 0.0012668943 0.0009065208 0.0009470279 0.0024597582 0.01325001 0.0012808623 0.0012627039 0.014157928 0.0082033845 0.00887245 0.0027670534 0.0020323386 0.007982691 0.0029877473 0.0017096787 0.0015406663 0.000603416 0.0007165565 0.0011747057 0.0021859861 0.0017753281 0.0013520988 0.0025142333 0.0015881574 0.0040241703 0.0015336823 0.0020393226 0.004806376 0.0074086078 0.00434264 0.0013674636 0.00905543 0.0042839744 0.0081321485 0.00081991946 0.0052589383 0.0021720182 0.0035688146 0.0046192054 0.0029179074 0.0005712897 0.004672284 0.0041778176 0.008852895 0.0039808694 0.001440097 0.0017166627 0.004162453 0.0011914673 0.0007249373 0.000452562 0.0016621876 0.0027754342 0.0011607377 0.0006383359 0.0035939568 0.0011802929 0.0007179533 0.006911348 0.0019932282 0.010995581 0.0007109693 0.000514021 0.0029737793 0.012731798 0.00068862055 0.026187137 0.0020742426 0.026182948 0.00072773086 0.0006341455 0.0054544895 0.0006341455 0.00067465263 0.0004972595 0.0016985043 0.0038635386 0.00051122747 0.00048049793 0.0016356484 0.00054754416 0.0004874819 0.00057687686 0.0017334243 0.0007905867 0.0005670993 0.00055313134 0.0018298031 0.0013185757 0.00046513317 0.00054056017 0.0022516355 0.00061598717 0.00057548005 0.00050005305 0.0019597053 0.0005307826 0.000514021 0.0005251954 0.0020896073 0.000596432 0.000527989 0.00047211716 0.0020351321 0.00062157435 0.00047630753 0.00055592495 0.0020602746 0.0008757913 0.00066766865 0.0005796705 0.0028494645 0.000761254 0.0010168677 0.0004874819 0.0019247853 0.0012249904 0.0006006224 0.0011397857 0.0041708336 0.0016440293 0.0015001593 0.001748789 0.004511652 0.00051541784 0.0008743945 0.010643587 0.0032154252 0.0012110224 0.0006704622 0.0006732558 0.0041442947 0.000664875 0.00066766865 0.00069141417 0.005627692 0.0009777574 0.00089814 0.0014973657 0.002901146 0.000541957 0.0015350791 0.0013465116 0.0031413948 0.00066766865 0.00051122747 0.0016230773 0.002996128 0.0007081757 0.00054614735 0.0007165565 0.0042127375 0.0012221967 0.0014093674 0.00070398534 0.0014889849 0.0010895011 0.0011272146 0.0007891899 0.005059196 0.001803264 0.0005726865 0.00262039 0.0029779698 0.0006076064 0.0006495103 0.000603416 0.0023158882 0.00051821145 0.00054754416 0.00066906546 0.0013004174 0.0006104 0.000891156 0.0013632732 0.0025184238 0.0008283002 0.0009065208 0.00086322014 0.0061263484 0.00194015 0.0061975853 0.07928216 0.0114613185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025071632 2.0986301e-05 3.777534e-05 9.094063e-06 7.555068e-05 1.6089496e-05 2.0286756e-05 4.826849e-05 1.9587213e-05 3.4977168e-06 1.3291324e-05 2.0286756e-05 3.9174425e-05 1.3291324e-05 1.04931505e-05 1.04931505e-05 0.012090207 0.0001790831 0.00022245478 7.135342e-05 0.00051836163 0.00022735159 0.0001259178 0.00030570044 6.086027e-05 3.9174425e-05 3.357808e-05 3.777534e-05 0.00027212236 3.2178992e-05 6.995433e-05 4.057351e-05 0.0010675031 0.0 0.0 4.896803e-06 5.176621e-05 7.6949764e-05 0.00013920912 9.2339724e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005281552 0.00024903743 0.00015459908 9.164018e-05 0.00028191597 6.505753e-05 0.00022595249 0.00013781004 0.0001308146 2.2385388e-05 3.0779906e-05 3.2178992e-05 6.4357984e-05 2.8681277e-05 8.604383e-05 0.0002805169 0.018680606 0.00076040364 0.001233295 0.0005967105 0.0008730301 0.0006652657 0.0035662719 0.0018950629 0.00037845294 0.00015459908 0.000120321456 0.00011892237 0.00014760364 0.00011472511 0.00019307397 0.0005876164 0.03886313 0.0006211945 0.003371799 0.0012262994 0.0035837605 0.0028702263 0.01131931 0.0060286643 0.00033508125 0.0002000694 0.0002581315 0.0001580968 0.00019727122 0.00012521826 0.00029240912 0.0007499105 0.022672199 0.0006344858 0.0017516565 0.0012871597 0.0030395158 0.0018943633 0.006388929 0.0038299998 0.0005498411 0.00039943925 0.0004505059 0.00035396894 0.00037075797 0.000330884 0.000540747 0.0013508182 0.020099979 0.0013270337 0.001824409 0.0010339251 0.0040104818 0.0014956236 0.007185709 0.0040321676 0.0005176621 0.000419726 0.0005113662 0.000493178 0.0007142337 0.000572926 0.00089611503 0.0021434007 0.028369281 0.0020398684 0.0024267158 0.001678904 0.009446633 0.0021035268 0.005771233 0.0038852638 0.0014963232 0.001219304 0.0014151762 0.0012654739 0.0012738684 0.0013983871 0.0019293405 0.00304861 0.010597382 0.0030584035 0.0008212639 0.00065827026 0.003629231 0.0025953057 0.0017173789 0.0011003817 0.006749194 0.0011927214 0.000693947 0.0009590739 0.0017453607 0.0010045442 0.0015278027 0.010660341 0.08144433 0.037246484 0.0060146735 0.005542482 0.045028206 0.031610966 0.017250739 0.0098020015 0.06210056 0.0086624455 0.0058530793 0.007564862 0.021024076 0.012856907 0.011559954 0.06767032 0.028062182 0.0118208835 0.004352559 0.003992294 0.015324896 0.013282929 0.0074319486 0.006095121 0.022797419 0.004551229 0.0022266465 0.0030199287 0.007780321 0.0059321276 0.0060055796 0.016349727 0.0040713423 0.003916743 0.0039020528 0.0038565823 0.0036285312 0.003705481 0.0038845642 0.003834197 0.0037656417 0.003825103 0.0036788983 0.0038488875 0.0039363303 0.0038216054 0.0038286007 0.0041000233 2218.0 12.833183 28464.0 0.035448287 0.0013350197 0.0028105679 0.003618606 0.0030916245 0.0016863407 0.0011242271 0.0014052839 0.0015809444 0.0016160764 0.0013701518 0.0015106802 0.0034780775 0.0035132098 0.0096964585 0.0048482292 0.00720208 0.00720208 0.007764193 0.0036888702 0.004988758 0.0026700394 0.0030916245 0.0023889826 0.004075323 0.0041455873 0.002213322 0.0009836988 0.002599775 0.0015106802 0.0016512085 0.0009134345 0.00217819 0.011944913 0.0059373244 0.014193367 0.007623665 0.006885891 0.009169477 0.004321248 0.0046725688 0.009591063 0.0009134345 0.0028457 0.010188308 0.004777965 0.005340079 0.0057265316 0.012788083 0.0036888702 0.009064081 0.01591484 0.008501967 0.0037942664 0.008783024 0.0041104555 0.0023889826 0.00087830244 0.00217819 0.0011242271 0.0024592467 0.0012647555 0.0013350197 0.029405564 0.0009485666 0.054384485 0.022870995 0.020095559 0.02294126 0.0757448 0.010047779 0.008958684 0.0189362 0.03853991 0.009274874 0.0041807196 0.039137155 0.018865936 0.034569982 0.043634064 0.014439291 0.0012647555 0.04676082 0.036818437 0.059197582 0.015598651 0.017460652 0.007623665 0.0063237776 0.009274874 0.003232153 0.0009485666 0.0009836988 0.006148117 0.0009836988 0.00059724564 5.6600475 4.0 18.0 0.0 3.0 715924.0 720896.0 0.0 0.0 210.0 0.0 1.0 1.0 0.0 0.0 1437580300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 8.0 6.0 0.0 4.0 0.0 4.0 0.0 573440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -573440.0 0.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.825493 0.0 7.0142927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -570012.0 0.0 125784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 2.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 569140.0 125784.0 593920.0 0.0 0.0 7312.0 708608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 568.0 1160.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.27341667 0.020599496 0.018725552 0.00876128 0.010575491 0.006801209 0.021680243 0.0069748512 0.012335527 0.0073290807 0.0078902915 0.0021851107 0.0022323413 0.0038617977 0.0016044519 0.0032797498 0.0066928566 0.0035714682 0.0043688323 0.0031241665 0.0013891358 0.0019322879 0.001605841 0.0013877467 0.003260302 0.003138058 0.0017308632 0.0019003379 0.001493321 0.0017836505 0.0011724307 0.0018475506 0.009209971 0.0019711838 0.0015044342 0.0015558321 0.0030185923 0.0011946568 0.0012835616 0.0013169008 0.0063080657 0.0012404983 0.00266853 0.0011057522 0.0017072479 0.0012946746 0.0016127867 0.0007556899 0.0045869267 0.0022323413 0.0012404983 0.002464327 0.000982119 0.0008640425 0.0007237398 0.00067512004 0.002260124 0.0025282272 0.00096683856 0.0020628667 0.0009293319 0.0007737487 0.0011196434 0.0007320746 0.0041451813 0.004793908 0.0027685477 0.0032950302 0.014640103 0.0025824036 0.001596117 0.00087376643 0.027653527 0.0048911474 0.0009932321 0.0011404805 0.0038048432 0.002350418 0.0027782717 0.0014099729 0.004685555 0.0010654673 0.0015419408 0.0028393937 0.0018711659 0.002292074 0.0029769181 0.002167052 0.0019267314 0.0013071768 0.00092794275 0.001594728 0.0010307388 0.0016433477 0.003508957 0.0029560812 0.00356869 0.0056635067 0.0014891536 0.0031533383 0.0036895447 0.01069079 0.0012016025 0.0021337126 0.0025004444 0.0058649317 0.0009890647 0.0008501511 0.0045647 0.0025629557 0.00567462 0.008168119 0.0056593395 0.0019989666 0.004673053 0.0049661607 0.009282206 0.0030435966 0.0011599284 0.0016100084 0.0024698835 0.002340694 0.0017003022 0.0029032938 0.0011515936 0.0016197324 0.0013155116 0.0011001956 0.0061983243 0.002157328 0.0015224929 0.004946713 0.0019308989 0.0022504001 0.0015599995 0.0005445412 0.002332359 0.0036798208 0.0007765269 0.019681277 0.0011627068 0.0050342283 0.0019003379 0.0010210149 0.004689723 0.002146215 0.0029796965 0.0014710949 0.0013460726 0.0009835082 0.0011488154 0.0008195902 0.0015599995 0.0010349063 0.0007612464 0.00067373086 0.0006667852 0.0006126089 0.00048203013 0.0006278894 0.013655205 0.0017100262 0.0021448256 0.0016433477 0.0015558321 0.0013405161 0.001850329 0.001339127 0.0020559211 0.00146276 0.0012738375 0.0013099551 0.0014058055 0.0014502578 0.0010904716 0.0011099195 0.0021128757 0.0007431877 0.00084598374 0.0007598573 0.00078764005 0.0005348173 0.0007445768 0.0005042563 0.0017864287 0.0022115044 0.0016183433 0.0005959393 0.00067373086 0.00044730175 0.00045563656 0.00043618865 0.003856241 0.0008987709 0.0014294208 0.0027532673 0.0019864643 0.0007251289 0.00090432743 0.00083070324 0.0022754045 0.0014391447 0.0006084415 0.00093627756 0.016614065 0.0007001245 0.0022212283 0.0012488331 0.0030435966 0.0006584504 0.0012391092 0.0009293319 0.0008682099 0.0006209437 0.00101268 0.0012710593 0.0018544963 0.0008293141 0.0006348351 0.0007584682 0.00080847705 0.0004264647 0.000572324 0.00047786272 0.0029796965 0.000705681 0.0007473551 0.0005889936 0.00066122867 0.00054731953 0.0005514869 0.00060010666 0.013116221 0.0012502222 0.00050981285 0.00080014224 0.0019670164 0.00060149585 0.00045563656 0.0004222973 0.0029157961 0.0014155294 0.0008376489 0.0009154405 0.00073346373 0.0005500978 0.0010876934 0.00051675853 0.0039812634 0.002239287 0.0028185567 0.0032894737 0.0022754045 0.00056260003 0.0010626889 0.027146492 0.005593672 9.737802e-06 0.0 0.0 0.0 0.0 0.0 7.6511305e-06 1.8780049e-05 0.0 0.0 0.0 0.0 1.1128917e-05 1.6693377e-05 4.0342326e-05 0.008208968 1.808449e-05 1.7388933e-05 1.1128917e-05 4.868901e-06 1.808449e-05 3.3386754e-05 3.4777866e-05 4.3124553e-05 3.1995638e-05 2.3648949e-05 2.7822294e-05 3.0604522e-05 3.0604522e-05 1.2520032e-05 0.0 0.00522294 2.9908966e-05 1.4606704e-05 8.346688e-06 3.8255654e-05 8.346688e-06 1.3215589e-05 3.0604522e-05 6.1209044e-05 1.1824474e-05 2.5735622e-05 9.737802e-06 1.5997819e-05 7.6511305e-06 4.868901e-06 0.00019475605 0.008825927 7.303352e-05 7.303352e-05 6.3991276e-05 0.00013493812 3.7560098e-05 2.7126736e-05 3.6864538e-05 0.00020449386 2.0171163e-05 0.00012520033 8.764023e-05 0.00013980703 2.2953393e-05 1.1128917e-05 8.764023e-05 0.045481797 0.0014258926 0.00034638756 0.00028239627 0.0011692318 0.00023857616 0.00024831397 0.00021701389 0.00055296806 0.0006545195 0.000994647 0.0006343483 0.0005988749 0.0002573562 0.0002316206 0.0007971087 0.017201828 0.00042289885 0.00017875823 0.0002037983 0.0005209724 8.346688e-05 0.00012450476 0.00014258926 0.0003324764 0.00028100517 0.00056270586 0.00028587406 0.0001418937 0.00013354702 7.790242e-05 0.0006732995 0.02153515 0.0005084524 0.00031230523 0.00017736712 0.0028121383 0.0006100038 0.0051791198 0.0024817486 0.00048619456 0.00028239627 0.0013792902 0.00011476696 8.4857995e-05 0.00011337585 0.00022536058 0.00073450856 0.023769977 0.00036655873 0.0020978008 0.0004597634 0.006349047 0.0038596475 0.03181827 0.014642177 0.0005272325 0.00025179176 0.00039020766 0.00025387842 0.00017875823 9.111801e-05 8.138021e-05 0.0003324764 0.03945271 0.0027836205 0.003213475 0.0018105358 0.0024059329 0.0016721198 0.0038561698 0.0035076956 0.0019134782 0.00061487267 0.0014641482 0.0007045996 0.00080962875 0.0007790242 0.0008451022 0.0011184562 0.09782736 0.008068465 0.007870231 0.004118395 0.00930447 0.0025380887 0.0047117053 0.00806916 0.005469863 0.0027745783 0.007617744 0.0015670906 0.0021937878 0.0017166355 0.0022508234 0.006266276 0.043462597 0.004658843 0.0029338608 0.0026883292 0.0048591634 0.002363504 0.0025714755 0.0026013844 0.0043075867 0.0018209692 0.002721716 0.0016310819 0.0018967849 0.0015149239 0.0022264791 0.0032113881 0.022586137 0.003883992 0.0025867778 0.0019746872 0.003858952 0.0020623275 0.0032120838 0.0026222512 0.0033338063 0.0022779503 0.012805906 0.001953125 0.0021798767 0.0015128372 0.0022793415 0.0049440213 0.01671772 0.0045816363 0.0021409255 0.001862007 0.0028065739 0.0023475061 0.001681162 0.0015997819 0.002548522 0.002771796 0.0014975349 0.0014766682 0.0017222 0.0011991408 0.002419844 0.0039090323 0.038856614 0.009572956 0.010088364 0.007982216 0.03730413 0.01376647 0.0061369026 0.0076615643 0.030813886 0.005755737 0.0039389413 0.0042338576 0.024396673 0.006432514 0.0125617655 0.025511652 0.012552723 0.003858952 0.0056687924 0.003359542 0.008108112 0.004615023 0.0030416723 0.0032399062 0.0060388288 0.004234553 0.0025506087 0.0021367522 0.0049579325 0.0020859765 0.0031453103 0.004479389 0.0005209724 0.00017875823 0.00024205395 0.00016206485 0.00013702479 0.00014954482 0.00018154047 0.00015024039 0.00011337585 0.00023509839 0.00015510929 0.00014954482 0.00012520033 0.00010502916 0.00013632924 0.00010711583 3421.0 15.623502 53448.0 0.01992591 0.0019271068 0.002058075 0.0016090405 0.0024135609 0.00033677593 0.0007858105 0.0003554857 0.0034987277 0.0009167789 0.0007671007 0.000580003 0.0012535548 0.00065484206 0.0053509953 0.00031806616 0.0022638827 0.0009167789 0.0009167789 0.0009167789 0.00052387366 0.0006361323 0.00033677593 0.00052387366 0.0011974255 0.0015154917 0.0010664571 0.00059871277 0.0004490346 0.000748391 0.00033677593 0.00011225865 0.0007858105 0.027054334 0.00411615 0.014369107 0.009822631 0.004789702 0.003629696 0.0015342014 0.01326523 0.015136207 0.00052387366 0.001234845 0.003573567 0.006099386 0.0071845534 0.004546475 0.0074839094 0.0004303248 0.007708427 0.021123335 0.009336177 0.0091677895 0.014481365 0.010234246 0.00052387366 0.0008606496 0.00054258347 0.00826972 0.0022451729 0.008082623 0.012572968 0.024266576 0.0008232301 0.0537906 0.008063912 0.02398593 0.030141447 0.10694507 0.006323904 0.01824203 0.0103277955 0.04638153 0.0011412962 0.0021703339 0.03300404 0.019289777 0.052630596 0.054071248 0.018803323 0.0026006587 0.036933094 0.040001497 0.07313651 0.016520731 0.005856159 0.006529711 0.004808412 0.011843287 0.0022638827 0.00054258347 0.00031806616 0.0005612932 0.00031806616 0.0008232301 5.3008776 0.0 0.0 0.0 1.0 719872.0 729088.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1506645000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -525824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.568001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4618745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.540949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5379004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -525568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1204.0 184320.0 21192.0 188024.0 0.0 0.0 15892.0 712704.0 56.0 709492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 185536.0


Input: 0.14479089 0.011401128 0.005518328 0.0065131197 0.0073952368 0.0041304124 0.0040213186 0.004512516 0.008232449 0.0055265925 0.0035741993 0.0024411115 0.005157161 0.003569516 0.0024603957 0.0049089454 0.0045984685 0.0019620354 0.0019218139 0.0018069348 0.0030020077 0.004165675 0.0019231914 0.0017262164 0.0026347805 0.0017587242 0.0016154697 0.0021394505 0.0025380836 0.0016713941 0.0016286932 0.0017972927 0.00900988 0.0017022488 0.0017443987 0.0014501761 0.0027986965 0.0016016952 0.0014598182 0.0014890201 0.0022755424 0.0014463193 0.0015314454 0.002595661 0.0031904425 0.0017025244 0.0017273184 0.002311356 0.0043395087 0.0030350664 0.003260417 0.0061885933 0.0033516039 0.0027438742 0.0026276177 0.002826521 0.0032028395 0.0038477601 0.00257252 0.003618002 0.0045937854 0.0027124684 0.003933437 0.0027199066 0.006539567 0.0048257476 0.0042386795 0.003618553 0.0033011893 0.010793398 0.0035064288 0.0027959417 0.0031874122 0.0034882466 0.0018851738 0.001986554 0.0027620564 0.006007597 0.003206421 0.0028526925 0.007668247 0.0029003522 0.003096776 0.0041604405 0.003647755 0.0040127784 0.0057095173 0.006827178 0.002971704 0.0034229555 0.002970051 0.0026102618 0.0038047838 0.003904511 0.0028064102 0.003835363 0.0025108103 0.002477476 0.001516569 0.0019149267 0.00284002 0.0035389366 0.002360944 0.0020554264 0.004193224 0.0024174193 0.0049367696 0.0017986702 0.002554613 0.0019289766 0.0022333923 0.0026044766 0.003981097 0.0015518317 0.0026548912 0.0025678365 0.007836847 0.008820894 0.0018824189 0.0027857486 0.0025389101 0.001633652 0.0013950783 0.0016000423 0.0021342163 0.0034155173 0.002130084 0.0016259383 0.0035582208 0.0022171384 0.0016733225 0.0073900027 0.0029791421 0.0076861535 0.001830076 0.0020548753 0.0024276124 0.0090925265 0.0014708377 0.028957516 0.0019154777 0.010004672 0.0020435802 0.0022383512 0.0023292627 0.0014465947 0.0013868136 0.0017027998 0.0020017058 0.0015248337 0.0014678075 0.0015449445 0.0049742362 0.0016763529 0.0014330958 0.0015383327 0.002019888 0.0016377844 0.0015399856 0.0015945325 0.002193722 0.0018028026 0.0012030621 0.0014859897 0.0019523932 0.0035700668 0.0013223491 0.0013970067 0.0021598367 0.0014397075 0.0014760721 0.0014443909 0.0021435828 0.0014330958 0.0016394373 0.0013504489 0.0036959655 0.0015589944 0.0013675293 0.0018196073 0.001906111 0.0018719503 0.001972504 0.0019501894 0.0029763873 0.0018259436 0.0013700087 0.0021055653 0.0022198935 0.0017727742 0.0016311726 0.00163255 0.009791443 0.0026433207 0.0031937484 0.0029232178 0.0024311938 0.0017022488 0.0029695 0.0027948397 0.0034303938 0.0022468914 0.0013972821 0.0028345103 0.0031325896 0.0016322746 0.0043348256 0.0036257156 0.0027579241 0.0016245609 0.0018193319 0.0015752483 0.0022008847 0.0015523826 0.0033821831 0.0016011443 0.005076167 0.002166724 0.0045786337 0.0025818865 0.0027840957 0.0024997906 0.0028931894 0.0017449497 0.0033808057 0.0016220815 0.0013868136 0.0016146433 0.0029361658 0.0023077745 0.0013983841 0.0016405393 0.01606296 0.0035584962 0.0016204285 0.0038372916 0.0054026223 0.0019634129 0.0019876559 0.0020339382 0.004938147 0.002464528 0.0019281502 0.0023163147 0.003137273 0.0021171358 0.003359042 0.0029799687 0.0041469415 0.0025752748 0.002304193 0.0023157636 0.0062941057 0.003019639 0.0046552196 0.055285208 0.0005875086 2.7563152e-07 0.0027950415 0.0 8.2689456e-07 0.0 0.0 0.0 3.1008545e-05 1.6537891e-06 1.2403418e-06 0.0 0.0 0.0 6.8907883e-07 0.0016621959 2.2050522e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.374815e-06 2.342868e-06 1.3781577e-06 8.2689456e-07 1.6537891e-06 8.2689456e-07 2.149926e-05 0.00052838563 0.0044205785 1.44706555e-05 1.2127787e-05 1.3781576e-05 1.4057208e-05 1.4746287e-05 7.056167e-05 8.558359e-05 8.65483e-05 1.4884103e-05 1.3230313e-05 1.5710997e-05 1.6813523e-05 1.5710997e-05 1.5986629e-05 0.0005378949 0.0014432067 3.1697625e-06 3.3075783e-06 2.6184996e-06 2.0672364e-06 6.0638936e-06 1.3092497e-05 9.371472e-06 4.7546437e-05 4.685736e-06 2.342868e-06 1.791605e-06 8.958024e-06 1.9707653e-05 4.7822068e-05 0.0014889615 0.0010901227 6.0638936e-06 1.5159734e-05 3.7210257e-06 5.6504464e-06 3.8588414e-06 4.685736e-06 3.3627046e-05 0.00013106278 3.9553124e-05 2.4117759e-05 1.4195024e-05 2.6736257e-05 0.0011511751 0.00015449147 0.0020939726 0.0016568211 3.9277493e-05 0.00024241793 3.996657e-05 0.00010749629 1.626226e-05 5.0027124e-05 2.7838783e-05 2.4669022e-05 3.0319468e-05 2.2050523e-05 1.35059445e-05 1.7778233e-05 0.00026253902 9.495506e-05 0.0007410354 0.031254686 0.0005607723 0.0007371765 0.0011004589 0.0042776633 0.0024000616 0.0004969636 0.0004880056 0.0006311962 0.0005122612 0.00048139045 0.0004754644 0.00057551864 0.0013078715 0.00085115014 0.0029602826 0.017911777 0.00046926268 0.0011294002 0.00036025041 0.001432457 0.0017877461 0.0015771636 0.00088615535 0.00037279163 0.00046209624 0.0002167842 0.0001888076 0.0003015409 0.0009189555 0.000533347 0.0044743265 0.010316061 0.00018136554 0.00049958215 0.00041027754 0.00092460593 0.0015586963 0.0008045684 0.0005334848 0.00033268725 0.00057055725 0.00019432022 0.00021278753 0.00040628086 0.00073097483 0.00028886183 0.0032033897 0.008535343 0.00036645212 0.00083612825 0.0009583708 0.0015730291 0.0014314924 0.0017079507 0.0012586714 0.0004072456 0.0026563988 0.0003332385 0.00027204832 0.0006925242 0.003080458 0.00045837523 0.007608395 0.01023916 0.0003741698 0.0021409679 0.0041350243 0.0051986864 0.002817919 0.003832105 0.0019445805 0.000419649 0.0006138314 0.00023566495 0.00044045917 0.0004345331 0.0012579823 0.00045148443 0.002155852 0.012901071 0.0022428138 0.0020150042 0.018148683 0.0052644243 0.002238128 0.0026580526 0.002284572 0.0019010307 0.001846869 0.001613547 0.0019466477 0.0030449014 0.002433275 0.002228481 0.003842717 0.010346932 0.0012688697 0.0011110707 0.0014445848 0.004784688 0.0016617825 0.0017315173 0.0013629979 0.0031001656 0.0008645183 0.0007787969 0.0010567713 0.0019506443 0.0011996862 0.0014936472 0.00479337 0.053442195 0.0074776076 0.004657897 0.006610471 0.011475505 0.018495014 0.006487401 0.012226877 0.036676496 0.0028580234 0.003637647 0.00599912 0.015423513 0.005771586 0.016816279 0.03072506 0.03328747 0.0067073554 0.004453241 0.0052991537 0.0104230065 0.014457976 0.004976114 0.010618015 0.026141308 0.0022975267 0.0037524477 0.0038690397 0.010825566 0.0054087173 0.012484868 0.020273387 0.02667934 0.017166331 0.017376088 0.017040506 0.019516228 0.017471455 0.017447751 0.016786374 0.017246816 0.017048085 0.016699273 0.017169088 0.017370712 0.017286094 0.016826203 0.016785547 15069.0 13.283429 200168.0 0.0861926 0.0021681788 0.0021531912 0.0015037368 0.0060599097 0.0016586068 0.0022930738 0.002572839 0.005295552 0.0017185564 0.0019883297 0.0022031493 0.020477798 0.002258103 0.0053505055 0.014223052 0.017740099 0.017974902 0.021332081 0.015367092 0.01616642 0.014777587 0.0111806085 0.012404581 0.015037369 0.0133937495 0.010616083 0.0104811955 0.036993925 0.009367132 0.03294233 0.010815915 0.011260541 0.014637704 0.018234683 0.017340435 0.013503657 0.015442029 0.005795132 0.005850086 0.009402102 0.014352944 0.00335718 0.003227289 0.009447064 0.007393789 0.0128941685 0.012524479 0.013333799 0.003077415 0.015476999 0.016111467 0.019763399 0.0069741416 0.0063596577 0.006329683 0.007828424 0.0028526038 0.0070590703 0.0021481954 0.005510371 0.0026078094 0.0024579354 0.0071290117 0.0058850567 0.014992407 0.0038217898 0.007293873 0.013034051 0.023770032 0.004316374 0.008278047 0.0128442105 0.017520282 0.0029675073 0.003661924 0.014762599 0.0063496665 0.011790097 0.016396226 0.009786779 0.0015836697 0.01769014 0.008427921 0.02620299 0.0059350147 0.0033122178 0.009247232 0.009427081 0.0032922346 0.0019183885 0.0016086487 0.004501219 0.0016386235 0.0019533592 0.001398825 6.085918 1.0 29.0 0.0 46.0 3629904.0 3665920.0 1.0 0.0 604.0 1.0 1.0 1.0 1.0 0.0 1540304500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1501184.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 329216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1609728.0 0.0 1534976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.4934535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.023447 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.25 0.0 0.0 0.0 0.0 -4.6709175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.755895 0.0 7.4875407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -122696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 329066.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 -47272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1608795.0 0.0 1534808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 2.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 1822768.0 1534808.0 2007040.0 0.0 0.0 9040.0 3620864.0 122696.0 3543040.0 112.0 1721712.0 0.0 0.0 0.0 0.0 24.0 1721916.0 64.0 1721824.0 0.0 0.0 2484.0 1507328.0 0.0 0.0 0.0 0.0


Input: 0.025876084 0.004651373 0.0041433345 0.0042788116 0.0041433345 0.00433526 0.0039739884 0.0041884934 0.0041884934 0.003951409 0.0040191473 0.0039739884 0.00347724 0.0036804553 0.0035901372 0.0041997833 0.003770773 0.003770773 0.003386922 0.003646586 0.0038949603 0.003601427 0.003341763 0.0035788475 0.0034207911 0.0035449783 0.003996568 0.0038046422 0.004075596 0.0034885297 0.0034207911 0.0033191836 0.0040981756 0.004064306 0.0034207911 0.0040530167 0.006604498 0.003996568 0.0038949603 0.004030437 0.003962699 0.0044481577 0.0035901372 0.0037143244 0.003962699 0.0037030347 0.0041546244 0.003386922 0.004120755 0.003736904 0.003815932 0.004075596 0.004075596 0.0038498014 0.0044142883 0.003646586 0.0035111092 0.0043239705 0.00391754 0.0036240064 0.003556268 0.0036240064 0.003827222 0.0036578758 0.0039739884 0.0036804553 0.0037143244 0.00391754 0.00476427 0.003646586 0.00391754 0.0036352961 0.004470737 0.003815932 0.003251445 0.0038385116 0.004165914 0.003691745 0.0037594833 0.003770773 0.00390625 0.0034546603 0.004165914 0.003736904 0.00390625 0.0036352961 0.0037933525 0.0037820628 0.0039288295 0.00391754 0.0039852783 0.0035449783 0.0036127167 0.0036804553 0.0035336886 0.0037594833 0.003996568 0.0036240064 0.004301391 0.004120755 0.0040191473 0.0037594833 0.0040981756 0.0038949603 0.0035449783 0.0038723808 0.0039739884 0.0034659503 0.0039401194 0.003736904 0.00390625 0.0032627347 0.0034998194 0.004165914 0.004244942 0.0041546244 0.004165914 0.0036691655 0.0035901372 0.0039288295 0.003861091 0.003770773 0.003341763 0.0034207911 0.0038723808 0.004075596 0.0037820628 0.0037143244 0.0038836705 0.0038836705 0.003601427 0.00347724 0.003951409 0.0036240064 0.0033756322 0.003206286 0.004064306 0.0047416906 0.003951409 0.0048771678 0.0035901372 0.004290101 0.0035901372 0.003601427 0.0033756322 0.0041546244 0.0038498014 0.0034207911 0.0035788475 0.0035336886 0.0038498014 0.0034433706 0.0035675578 0.00391754 0.0036691655 0.003601427 0.003827222 0.0037256142 0.0037933525 0.0036578758 0.003736904 0.0037481936 0.0034320808 0.0036578758 0.004132045 0.0037030347 0.0035223989 0.0035111092 0.003601427 0.0034659503 0.0035901372 0.00390625 0.0037256142 0.003386922 0.0038498014 0.004120755 0.004064306 0.003646586 0.0037594833 0.0037594833 0.0036691655 0.003770773 0.0041546244 0.003861091 0.004132045 0.004064306 0.0033756322 0.0037030347 0.003691745 0.003996568 0.003646586 0.0035336886 0.0037030347 0.004685242 0.003815932 0.003815932 0.0034998194 0.0042562317 0.004030437 0.0040417267 0.003827222 0.0038046422 0.003815932 0.0036127167 0.0035901372 0.003736904 0.0031837067 0.00391754 0.0036691655 0.0037594833 0.0034885297 0.0036578758 0.0035901372 0.003736904 0.0038385116 0.0040191473 0.0037933525 0.004075596 0.0035223989 0.0034998194 0.003827222 0.0036804553 0.0036578758 0.0037594833 0.0036691655 0.0035223989 0.0035336886 0.0039401194 0.0035336886 0.003556268 0.0037933525 0.0039852783 0.0040417267 0.0038723808 0.004064306 0.0037143244 0.003996568 0.003861091 0.003827222 0.003736904 0.003827222 0.0037594833 0.003736904 0.003951409 0.0037820628 0.003770773 0.0038723808 0.0039288295 0.0036578758 0.0037481936 0.0035336886 0.0037143244 0.003815932 0.0037933525 0.0035788475 0.0046400833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009886259 0.0007123162 0.0016831342 0.00078699447 0.0011776194 0.0008272059 0.0009248621 0.0011086856 0.0016084559 0.00044806986 0.00048828125 0.00053423713 0.0012120864 0.00050551473 0.00068359374 0.0009420956 0.0031192554 0.00024126838 0.0013844209 0.00033892464 0.0009420956 0.00031020222 0.00065487134 0.00050551473 0.0016199448 9.765625e-05 0.00010340074 0.00026999082 0.0010225184 0.00018956802 0.00049402576 0.0004710478 0.0025735295 0.00037913604 0.0010340074 0.00052274816 0.00091337314 0.00049402576 0.00071806065 0.0006261489 0.0012350644 0.00029871325 0.00026424634 0.00037913604 0.00085018383 0.00036764707 0.0005457261 0.0005629596 0.05986328 0.057462085 0.06155216 0.0610409 0.059576057 0.059375 0.0596335 0.059386488 0.0578642 0.059070542 0.059139475 0.060610063 0.05909352 0.059495635 0.059828814 0.05994945 426.0 5.8896713 2509.0 0.009166999 0.015544041 0.0059784777 0.007174173 0.019529693 0.008768434 0.008768434 0.011159824 0.01155839 0.015145476 0.009166999 0.011956955 0.009964129 0.008768434 0.01235552 0.009565564 0.0127540855 0.009166999 0.011159824 0.01155839 0.010761259 0.013949781 0.010761259 0.009166999 0.009166999 0.01235552 0.011159824 0.009565564 0.009565564 0.009565564 0.010761259 0.009565564 0.008369869 0.009166999 0.011159824 0.011159824 0.013152651 0.0127540855 0.009166999 0.007174173 0.016739737 0.013152651 0.008768434 0.007572738 0.009565564 0.008369869 0.0059784777 0.013949781 0.011159824 0.0063770427 0.011956955 0.01235552 0.009166999 0.004384217 0.009565564 0.008768434 0.008369869 0.009565564 0.008369869 0.008369869 0.009166999 0.007971304 0.013152651 0.009964129 0.010761259 0.009565564 0.011159824 0.013949781 0.009964129 0.014348346 0.008369869 0.007174173 0.011956955 0.0127540855 0.010362694 0.007174173 0.010761259 0.009166999 0.01155839 0.010362694 0.006775608 0.01235552 0.015544041 0.010761259 0.017536867 0.009565564 0.0063770427 0.008768434 0.01235552 0.010362694 0.011159824 0.009565564 0.009964129 0.011956955 0.009166999 0.007971304 6.5425377 0.0 0.0 0.0 2.0 88576.0 466944.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1086264800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 90112.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7696759 0.0 0.0 0.0 0.0 -7.985774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.015566433 0.004472055 0.004261839 0.0042048404 0.004234647 0.0037901606 0.003941286 0.0041839234 0.0050111907 0.0040061288 0.003914094 0.0038471594 0.0041818316 0.0038377468 0.0038753974 0.0044872197 0.0043700845 0.003801665 0.0037953898 0.0036960342 0.0041509788 0.0037786562 0.0039376253 0.0036881904 0.0038492512 0.0037634915 0.0037164283 0.0037551248 0.0039737076 0.0038377468 0.003704401 0.0037969586 0.004517549 0.0036803463 0.0037268868 0.003738391 0.0045515397 0.0037263639 0.0036928966 0.0037645374 0.003710153 0.0036426957 0.0036630898 0.0037838856 0.0037085842 0.003823628 0.003724795 0.0036803463 0.0038706912 0.003661521 0.0036751172 0.0041943816 0.0038246736 0.0037713354 0.003759831 0.003683484 0.0038706912 0.003892131 0.003633283 0.004136337 0.0037776104 0.0037629686 0.0037211345 0.0038131694 0.0040981635 0.0041535934 0.0041300617 0.003815784 0.004095026 0.00421373 0.0040636505 0.003856572 0.003828857 0.0037143365 0.0037551248 0.003703878 0.0039679552 0.0038649389 0.0037760416 0.0037478036 0.0041823545 0.0037519871 0.0037347306 0.003947561 0.0038685994 0.0038952685 0.0040531917 0.003918277 0.0037211345 0.0040767235 0.003698126 0.0037959127 0.0037645374 0.0038978832 0.0038675535 0.0037786562 0.003781271 0.0038863788 0.003746235 0.0038074171 0.0038978832 0.00406888 0.004005606 0.0037122448 0.003905727 0.0038199674 0.0040071746 0.0036034763 0.003898929 0.0037755189 0.0038555262 0.0038727827 0.003828857 0.0036437416 0.0040437793 0.003915663 0.0046780873 0.0047193985 0.0037498954 0.003829903 0.0037519871 0.0036646586 0.003682961 0.0035809907 0.0038068942 0.0039522676 0.003823105 0.003780225 0.003878012 0.0038952685 0.003746235 0.00504152 0.003871214 0.0043026274 0.003649494 0.0036740713 0.003927167 0.004681225 0.0038283342 0.006241633 0.0036881904 0.0042058863 0.0036813922 0.003627008 0.0036677963 0.0036855757 0.003620733 0.0035977243 0.0037279325 0.0036850527 0.0037263639 0.0036463563 0.0037284554 0.003655769 0.0036008619 0.0036745942 0.0037091072 0.0037279325 0.0035877887 0.0036991716 0.0037164283 0.0037237492 0.00367564 0.0036725025 0.0037404827 0.0036751172 0.0035930178 0.003613412 0.003612366 0.0035893575 0.0036542001 0.0036646586 0.0037012633 0.0036908048 0.003654723 0.0036793004 0.0038246736 0.003697603 0.0036526313 0.0036290998 0.0037556477 0.0036630898 0.0038884706 0.003759308 0.0038973603 0.0036526313 0.0036777318 0.003698126 0.0037844086 0.0036594295 0.0037179969 0.0036725025 0.004143658 0.0040955488 0.00375251 0.004129539 0.0039015436 0.0037268868 0.0039679552 0.004081953 0.00382938 0.0037488495 0.0036928966 0.0037211345 0.0043502133 0.0036374666 0.0037138136 0.0036426957 0.003814738 0.00373107 0.0037420515 0.003780225 0.0037054468 0.0036881904 0.0037190428 0.0036228246 0.003758785 0.003647925 0.003697603 0.0037352536 0.0036913278 0.0037017863 0.0036369436 0.0036693648 0.0038685994 0.0037028322 0.003780225 0.0036228246 0.0037838856 0.0036955113 0.0037514642 0.0037028322 0.0047193985 0.003802188 0.0036719795 0.004089274 0.003858141 0.0036793004 0.0036641357 0.0036683192 0.003850297 0.0036960342 0.0037153824 0.0037117219 0.0037216574 0.003627008 0.0038278112 0.0037185198 0.0040354123 0.0037159054 0.0037451892 0.0036442645 0.003975799 0.0039041582 0.0040202476 0.0071316515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004437969 1.1775272e-05 9.158544e-06 7.850181e-07 2.3812216e-05 2.0933815e-06 4.186763e-06 1.8317089e-06 2.3550542e-06 3.9250904e-06 1.3083635e-06 1.8317089e-06 1.8317089e-06 1.0466907e-06 2.0933815e-06 2.4073888e-05 0.0008444178 4.9979484e-05 2.2242179e-05 7.588508e-06 3.1400723e-05 1.3345308e-05 1.8317089e-05 1.2560289e-05 8.635199e-06 8.111853e-06 8.373526e-06 5.4951265e-06 7.0651627e-06 5.4951265e-06 6.018472e-06 2.2765524e-05 0.0015930634 0.00018578762 3.8465885e-05 3.8204213e-05 4.082094e-05 3.2709086e-05 3.8204213e-05 3.0354033e-05 3.323243e-05 1.5177016e-05 1.7008726e-05 1.5177016e-05 1.8578761e-05 1.5177016e-05 1.648538e-05 1.5177016e-05 0.0010890818 0.00015595692 2.2242179e-05 1.6223707e-05 7.562341e-05 2.9307343e-05 7.1174974e-05 4.2914322e-05 1.5438689e-05 8.635199e-06 1.3083635e-05 8.635199e-06 9.943563e-06 1.2560289e-05 1.07285805e-05 2.616727e-05 8.4781954e-05 2.6167268e-07 5.3904576e-05 2.616727e-06 1.7008726e-05 7.0651627e-06 0.00022451517 0.00013947155 1.0466907e-06 1.5700361e-06 0.0 0.0 2.8783998e-06 0.0 2.6167268e-07 5.2334536e-07 0.0012670192 6.437148e-05 0.00034540796 0.00012429453 0.00019913292 9.263214e-05 0.0008444178 0.0004427502 3.0354033e-05 1.07285805e-05 9.158544e-06 1.0205235e-05 1.9887126e-05 2.6690615e-05 1.2298617e-05 0.0002519908 0.0010351771 0.00016145206 0.00021247823 9.708057e-05 0.00013135969 6.437148e-05 0.0004294049 0.00026036432 5.2857886e-05 1.8317089e-05 2.1718834e-05 2.9830688e-05 5.4951266e-05 2.4858906e-05 2.538225e-05 5.9923048e-05 0.0007059929 9.7603915e-05 6.0969738e-05 3.6110832e-05 7.7455115e-05 4.5531047e-05 0.00016354544 9.027708e-05 5.1811192e-05 3.5325815e-05 3.4017452e-05 3.4017452e-05 3.323243e-05 3.480247e-05 3.4017452e-05 7.300668e-05 0.00020672142 2.0933816e-05 1.9102106e-05 2.6690615e-05 3.323243e-05 3.0615705e-05 1.3868653e-05 4.186763e-05 0.00017034893 1.360698e-05 1.3868653e-05 3.4017452e-05 4.736276e-05 2.328887e-05 5.8614685e-05 0.00031767067 0.005319806 0.0011333044 0.0008577631 0.00084886624 0.0015556442 0.0012374502 0.00049220637 0.00108568 0.0030654955 0.00028260652 0.00019311445 0.00066543365 0.0017016575 0.0004579272 0.0010754748 0.0019997028 0.00664701 0.0015127298 0.0013620064 0.0016558648 0.002574336 0.0024223041 0.0010150283 0.0020352902 0.004514116 0.000390154 0.0003663418 0.0007486456 0.0024024171 0.00078841986 0.0018392974 0.003488097 0.05840953 0.058265872 0.05804188 0.058173243 0.05803194 0.058001585 0.058209613 0.058212493 0.05804581 0.057998445 0.058024872 0.058122218 0.05788462 0.057999752 0.05802592 0.057812657 8888.0 6.30423 56032.0 0.026966734 0.00835237 0.009583809 0.008977013 0.009655197 0.008512992 0.009012707 0.010029983 0.009048401 0.008977013 0.00917333 0.008869931 0.008780696 0.010208452 0.009887207 0.008441605 0.009155483 0.008602227 0.009226871 0.009048401 0.008691462 0.009191177 0.008869931 0.009155483 0.009316105 0.009762279 0.00881639 0.009494575 0.009387493 0.009922901 0.009476728 0.009048401 0.009333952 0.009548116 0.008655768 0.009726585 0.0101013705 0.0087628495 0.009655197 0.010315534 0.0090305535 0.009797973 0.009209024 0.009226871 0.009976442 0.009191177 0.009655197 0.00940534 0.011011565 0.0084951455 0.009530269 0.013403055 0.010012136 0.008869931 0.012100228 0.011761136 0.008780696 0.009780126 0.009101942 0.008869931 0.00940534 0.008887778 0.009244718 0.009387493 0.009351799 0.015508994 0.009601656 0.013670759 0.012225157 0.019935038 0.010422615 0.009905054 0.010261993 0.01593732 0.009084095 0.008834237 0.013938463 0.011279269 0.0154911475 0.016865363 0.0119931465 0.008602227 0.016633352 0.014848658 0.018382354 0.012010993 0.009976442 0.009601656 0.009476728 0.010404768 0.009441034 0.008334523 0.008280982 0.009209024 0.009262565 0.009351799 6.5411043 0.0 1.0 0.0 26.0 1912320.0 1929216.0 1.0 0.0 94.0 0.0 1.0 0.0 0.0 0.0 1342219600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 104448.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104448.0 0.0 1773056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.454752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2625868 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7562785 0.0 7.9998345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104216.0 0.0 1772972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 136628.0 1772972.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 111040.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 134560.0 0.0 0.0 388.0 110592.0 0.0 0.0 0.0 0.0


Input: 0.10930667 0.008173135 0.00482587 0.0040106443 0.006353825 0.0033273355 0.0034962646 0.003436475 0.008321186 0.0029059616 0.002823395 0.0030179482 0.0061573735 0.002777841 0.0025282435 0.006824549 0.0058707637 0.0026952745 0.0022947795 0.0022966776 0.004131173 0.002985681 0.002515906 0.0021979774 0.0033320806 0.002516855 0.002186589 0.002285289 0.0030188973 0.0022074678 0.0022435314 0.002283391 0.0042725797 0.0025605108 0.002420053 0.0024285943 0.0039204857 0.0023934797 0.0021998754 0.0022482765 0.0027303891 0.0022530218 0.0022311937 0.003104311 0.0026867331 0.003221992 0.002356467 0.0021097166 0.0036281813 0.0028309873 0.002868949 0.005050793 0.0029667001 0.0027588604 0.002681988 0.0026876822 0.0034858251 0.0032295843 0.003057808 0.004286815 0.0032514122 0.0031242408 0.002659211 0.003932823 0.0043352162 0.0030492665 0.0034554559 0.0030805848 0.0031327822 0.013942352 0.0062589208 0.0044329674 0.003319743 0.0022701044 0.0025681031 0.0022264486 0.0026544658 0.010190795 0.002421951 0.003998307 0.006779944 0.004117886 0.0029752415 0.0032409728 0.0028139045 0.007453763 0.004016339 0.0034972136 0.0026193513 0.0038274797 0.002122054 0.0025291925 0.0024314413 0.004349452 0.0030027635 0.002984732 0.0025472243 0.0031603044 0.0023707028 0.002583288 0.0035617484 0.0039717336 0.0039356705 0.0024229 0.00346115 0.0029249424 0.004352299 0.002398225 0.003458303 0.002421951 0.0029951714 0.0030312347 0.0030236426 0.0021827929 0.0037145438 0.0034924685 0.0071159042 0.008199709 0.0027190004 0.0024409317 0.002566205 0.0024912308 0.0022900342 0.0021695062 0.0025690522 0.0034469145 0.0024551672 0.0026041667 0.0035626974 0.0025956254 0.0022207543 0.010041796 0.0035285319 0.006768556 0.0022027227 0.002120156 0.003319743 0.01154033 0.0029685982 0.026791409 0.002516855 0.009501792 0.0020148125 0.0020537232 0.0026193513 0.0020176598 0.0020508762 0.0023004739 0.0025045173 0.002988528 0.0020413857 0.002048029 0.0024855367 0.0021808946 0.0020584685 0.0021343918 0.0023925307 0.002191334 0.002024303 0.0021495763 0.0031887756 0.0027702488 0.002238786 0.0023241998 0.0025595617 0.0021305955 0.001952176 0.0020148125 0.0026250456 0.002048978 0.0019796982 0.0020413857 0.0024229 0.0020138635 0.002024303 0.002002475 0.0027133063 0.0020556212 0.0020594175 0.0020935829 0.0025216 0.0022103149 0.0031650495 0.0024627596 0.0033273355 0.0023166074 0.0021334426 0.0021267994 0.0026867331 0.0025462753 0.0023915817 0.002348875 0.006320609 0.0036784804 0.0035171434 0.0042697326 0.004490859 0.0025064156 0.0037097987 0.0049055894 0.0037012573 0.003222941 0.0023374863 0.0025358358 0.010796282 0.002141984 0.0024845875 0.0024902818 0.0033273355 0.0025624088 0.0026459245 0.0022074678 0.0027977708 0.002139137 0.0023726008 0.0021372389 0.0034497615 0.0024191039 0.0022207543 0.0024523202 0.002870847 0.0023678555 0.0020888378 0.002163812 0.003482978 0.0022786458 0.002192283 0.0020926339 0.003201113 0.002873694 0.002163812 0.002120156 0.012406805 0.0036424168 0.0021695062 0.0047470997 0.006069113 0.0021021243 0.0022217035 0.0023128113 0.0051447474 0.0024314413 0.002257767 0.0022549198 0.0039698356 0.0021438822 0.003343469 0.0028490191 0.004853392 0.0027009689 0.002471301 0.0022928815 0.006545531 0.0032836795 0.0049720225 0.03147682 0.026245592 2.3749087e-06 0.0 9.499635e-07 9.499635e-07 4.7498176e-07 4.7498176e-07 1.4249453e-06 4.7498176e-07 2.3749087e-06 9.499635e-07 1.4249453e-06 2.3749087e-06 1.899927e-06 1.4249453e-06 1.4249453e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000911015 3.3248723e-06 3.799854e-06 2.3749087e-06 5.224799e-06 6.174763e-06 5.699781e-06 2.3749087e-06 3.3248723e-06 4.2748356e-06 2.8498905e-06 5.224799e-06 4.2748356e-06 6.174763e-06 3.3248723e-06 3.3248723e-06 0.0008483174 4.7498174e-06 8.549671e-06 4.2748356e-06 3.4198685e-05 4.2748356e-06 9.499635e-07 1.6149379e-05 2.3749087e-06 2.8498905e-06 2.8498905e-06 3.3248723e-06 6.174763e-06 4.7498176e-07 2.8498905e-06 3.0398833e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015816892 4.7023193e-05 4.369832e-05 8.0746895e-06 5.367294e-05 2.422407e-05 5.3197957e-05 2.0424215e-05 1.092458e-05 1.5674397e-05 1.092458e-05 7.599708e-06 1.7099343e-05 9.499635e-07 9.024653e-06 4.1323412e-05 0.0066250456 0.00012254529 0.00023844084 3.847352e-05 0.00050205574 0.00013726973 0.0006977482 0.00031633786 3.9423485e-05 0.00017431831 3.4198685e-05 4.4173303e-05 4.037345e-05 2.2324142e-05 4.4173303e-05 0.00065072504 0.011383888 0.0002892639 0.0007058229 0.00013489481 0.0012705763 0.0002469905 0.000963738 0.00051488023 0.00010544595 0.00017479328 6.4597516e-05 0.00014724434 8.359679e-05 7.124726e-05 0.00011019577 0.0012425523 0.006410829 0.00021374179 0.00051440526 0.00020091729 0.00080556906 0.00015816893 0.0013389736 0.00075759593 8.882159e-05 4.9398102e-05 0.000104021005 0.00013346988 0.00010212108 6.364755e-05 0.00014724434 0.00058422756 0.0071503753 0.0002892639 0.0006906235 0.00031443793 0.001640587 0.0005357794 0.0024860546 0.0012145283 9.784624e-05 8.929657e-05 0.00024841545 0.00022039154 0.00014154456 7.02973e-05 0.00011114573 0.00026361487 0.005603835 0.00022039154 0.0006127265 0.0004531326 0.001771207 0.00064170035 0.0026133496 0.0015052172 0.00017241838 0.00016529365 0.00014344449 0.000120170385 0.000130145 0.00010497097 0.000106870895 0.0002265663 0.004901337 0.0008169686 0.0011304566 0.0087529635 0.0015213665 0.00083169306 0.0013351737 0.0010549345 0.0009086401 0.0007053479 0.00062602595 0.0006279259 0.0006849237 0.0006350506 0.00063885044 0.001092933 0.011925842 0.0012615515 0.0011765298 0.0019493252 0.0053748935 0.0031581537 0.0013318489 0.0013669975 0.010375502 0.00097418757 0.00078561984 0.0010302354 0.0041575152 0.0012392274 0.0033172725 0.008941056 0.037797622 0.005830401 0.003988897 0.004866663 0.017140666 0.012673464 0.0047042193 0.0074947374 0.031718332 0.0021530923 0.0024205071 0.0037423812 0.01746413 0.0038145785 0.012589866 0.023234682 0.026215669 0.006083566 0.003878701 0.0053525693 0.011257542 0.0102857305 0.004174615 0.009086401 0.020101229 0.0017089844 0.002057146 0.0030854815 0.010126136 0.0037989041 0.008944382 0.016839053 0.030295761 0.029902477 0.030162767 0.03030526 0.030008873 0.03009912 0.029909601 0.030166091 0.030200765 0.029986074 0.029861154 0.030018847 0.030184615 0.030424481 0.03009342 0.029898202 3754.0 9.246404 34711.0 0.023767682 0.004695918 0.005272104 0.004811155 0.01296419 0.0057906713 0.004811155 0.005646625 0.0069142347 0.0049263923 0.004436634 0.0052432944 0.006654951 0.0078073232 0.01005445 0.0044942526 0.015009651 0.012330385 0.012618478 0.010342543 0.013367521 0.011610152 0.012388004 0.011264441 0.014750367 0.013396329 0.014491083 0.011667771 0.015297744 0.011033966 0.011235631 0.017602488 0.027311226 0.009161361 0.004551871 0.0067989975 0.00962231 0.006222811 0.0072311372 0.0066261417 0.007864942 0.0058482904 0.0044078245 0.0044078245 0.007836132 0.0057330527 0.0052144853 0.005185676 0.012762525 0.005646625 0.0061363834 0.009074933 0.009276598 0.006943044 0.011984673 0.008988505 0.0072023277 0.0057042437 0.004350206 0.0054737693 0.006654951 0.004897583 0.005646625 0.013281092 0.007576849 0.024487915 0.011033966 0.016219642 0.019475095 0.03517617 0.0097375475 0.008239463 0.009334217 0.021001987 0.0069142347 0.0057330527 0.017688917 0.011437297 0.018582005 0.026879087 0.012215148 0.004695918 0.026101235 0.021261271 0.036155686 0.012762525 0.008815649 0.005560197 0.009247789 0.008873268 0.004984011 0.0047823456 0.006770188 0.0037452104 0.0047535365 0.00501282 6.3416452 1.0 0.0 0.0 13.0 1053696.0 1069056.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541678700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5802526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5796857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4158845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.523971 0.0 3.4436426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395784.0 0.0 6080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1022104.0 6080.0 1040384.0 0.0 0.0 0.0 0.0 18540.0 1048576.0 28.0 462176.0 0.0 0.0 0.0 0.0 24.0 462368.0 64.0 462208.0 0.0 0.0 328.0 401408.0 0.0 0.0 0.0 0.0