Input: 0.022828925 0.003672431 0.003987211 0.0034078977 0.0040345015 0.004386966 0.0037049435 0.0028049392 0.0034707058 0.0037987863 0.003993861 0.004736475 0.003534992 0.0032719364 0.0042576552 0.005091896 0.004353715 0.005522686 0.004335981 0.004075142 0.003772924 0.0043684933 0.0034086367 0.003156665 0.0035793271 0.004364799 0.0043773605 0.0043692323 0.0031034627 0.0042369654 0.003910363 0.0033384392 0.0039428757 0.0053955917 0.0042842566 0.0045051933 0.0040817927 0.004123911 0.004041152 0.0033569122 0.004715047 0.0045953416 0.004989186 0.00471283 0.0039347475 0.0039524813 0.005739928 0.003606667 0.0045886915 0.006597075 0.0050771176 0.004627854 0.004095093 0.0056542135 0.0053793355 0.004463814 0.0039842553 0.004361104 0.0049019936 0.004077359 0.0032734144 0.0046337657 0.004866525 0.0034285875 0.0037529732 0.003305188 0.00519165 0.0036325294 0.0042317933 0.004502238 0.0038453382 0.004214798 0.0028714421 0.0045214496 0.003304449 0.00298228 0.0029689793 0.0043389364 0.0039790827 0.004335981 0.0043500206 0.003090901 0.004686968 0.0033473063 0.004096571 0.0038889344 0.0043625818 0.0032386852 0.0038549441 0.0040544523 0.0031721822 0.0029571566 0.0029239054 0.003588194 0.003708638 0.0031507537 0.003257897 0.004324158 0.004684751 0.0045317947 0.004887215 0.003973171 0.0056749033 0.0040906593 0.003829082 0.004684012 0.0037684906 0.0041904137 0.0043212026 0.0037034657 0.0045354892 0.004656672 0.0038120868 0.0039635655 0.004263567 0.0045946026 0.00372785 0.0038955847 0.004160118 0.003701249 0.0038431215 0.0049581514 0.0050032255 0.003829082 0.004125389 0.0041948473 0.004593864 0.0039495258 0.0029327723 0.0037500176 0.003185483 0.0033746464 0.0034928734 0.002952723 0.0030517385 0.0040197233 0.0031211968 0.0035216913 0.0035763714 0.002705185 0.003101246 0.003774402 0.003928836 0.0037647958 0.00327637 0.003580805 0.0029985362 0.0033059267 0.0039709546 0.0031256303 0.0036879482 0.0030975514 0.0028743977 0.0041276054 0.0033074047 0.0037500176 0.002816023 0.0034544496 0.003478834 0.0043485425 0.0031714435 0.004074403 0.003959132 0.0029135605 0.0037943528 0.0034027253 0.0037433673 0.0053808135 0.003662825 0.003928836 0.0033650403 0.0036088838 0.0031647931 0.0031226748 0.0034662725 0.00343376 0.0036953376 0.0042953403 0.0038874566 0.0036310514 0.0042325323 0.0031921333 0.0032512466 0.003322183 0.003229079 0.0034780952 0.0036340072 0.002917255 0.0028588804 0.0034108534 0.0034485382 0.0035046963 0.003894107 0.0033288333 0.0033369614 0.004738692 0.0029564179 0.004273173 0.0037330224 0.0028817868 0.0040995264 0.0040707085 0.004417262 0.003718983 0.004030807 0.003820954 0.0033812965 0.005442144 0.0032172564 0.0039909054 0.0032726754 0.0033842523 0.002889915 0.0033162716 0.003552726 0.0040175063 0.004520711 0.003617751 0.0037707074 0.003322183 0.0039805607 0.0036140564 0.004279823 0.0029874523 0.0031152854 0.0036413963 0.0037167661 0.0037345001 0.0029187328 0.0041076546 0.004177852 0.0029312945 0.002889915 0.003505435 0.002989669 0.0040138117 0.0033886859 0.003175877 0.0038372101 0.00351578 0.0033258777 0.0039413976 0.0038615945 0.0035098686 0.0064020003 0.0031056795 0.0035844995 0.0029327723 0.0033458285 0.0035438589 0.0028477965 0.0027908997 0.0026763673 0.0035076519 0.0031817884 0.0028596192 0.0045454544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073168206 1.8495502e-06 1.4796401e-06 3.6991003e-07 7.3982005e-07 2.5893703e-06 2.5893703e-06 2.2194602e-06 2.2194602e-06 1.4796401e-06 2.2194602e-06 1.8495502e-06 2.5893703e-06 7.3982005e-07 1.8495502e-06 1.1097301e-06 0.0014082475 9.247751e-06 9.987571e-06 3.3291903e-06 1.0357481e-05 5.9185604e-06 1.7385772e-05 7.768111e-06 2.5893703e-06 2.5893703e-06 7.398201e-06 5.9185604e-06 5.9185604e-06 4.8088305e-06 6.6583807e-06 7.028291e-06 0.0013579398 7.768111e-06 6.6583807e-06 3.3291903e-06 2.2194603e-05 5.5486507e-06 4.0690106e-06 7.768111e-06 1.3686671e-05 1.7015862e-05 9.617661e-06 9.987571e-06 1.10973015e-05 1.10973015e-05 1.3316761e-05 1.4056582e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000526382 1.4796401e-06 2.5893703e-06 1.8495502e-06 2.2564513e-05 1.4796401e-06 7.3982005e-07 1.4796401e-06 7.028291e-06 1.6276043e-05 2.9592802e-06 7.398201e-06 9.654652e-05 3.3291904e-05 1.6276043e-05 1.9235322e-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 0.00050751655 1.3686671e-05 1.9235322e-05 1.7755681e-05 1.4056582e-05 1.5906131e-05 1.6276043e-05 1.4426491e-05 1.7385772e-05 1.7755681e-05 2.1454782e-05 1.4796402e-05 1.5906131e-05 2.1824691e-05 1.5536221e-05 1.4056582e-05 0.00047015565 8.507931e-06 2.5153882e-05 1.5536221e-05 2.8852983e-05 1.8125593e-05 6.436434e-05 2.6263613e-05 1.2207031e-05 1.1837121e-05 1.2946852e-05 1.5536221e-05 1.3316761e-05 9.987571e-06 1.4056582e-05 1.0727391e-05 0.00038211708 5.1787406e-06 2.9592802e-06 6.2884706e-06 7.768111e-06 2.5523792e-05 4.2169744e-05 3.3661814e-05 2.8852983e-05 2.5893703e-05 1.5166312e-05 1.9975141e-05 9.802616e-05 3.5881272e-05 1.2946852e-05 1.5166312e-05 0.002665202 0.00021935665 0.000118741125 0.00014130563 0.00012502959 0.00017237807 0.00025005918 0.00018902402 0.00016128078 0.00016276042 0.0001472242 0.00014315518 0.0002282345 0.00017570728 0.0001509233 0.00025264855 0.0033195727 0.00091256807 0.000106904 0.00012318004 0.0001106031 0.0002685547 0.0002874201 0.00022601504 0.00029592804 0.0002323035 0.00035770301 0.00025708746 0.00041023022 0.00026337596 0.00045166016 0.0007102273 0.003692442 0.0015173709 0.00033994732 0.000250799 0.00016128078 0.0002766927 0.000456469 0.00029555813 0.00037841796 0.00039136483 0.0005855676 0.00055856415 0.00065806997 0.0006077622 0.0007098574 0.0012410482 0.0013216885 0.0013472124 0.00027743253 0.0001764471 6.473425e-05 0.00010875355 0.00027484316 0.0001882842 0.00039543383 0.00032330138 0.00047126538 0.0005126953 0.000526382 0.00059444545 0.0006162701 0.0011341441 0.059780423 0.060260564 0.06910437 0.07328916 0.061415054 0.057572428 0.067701675 0.065649785 0.05295891 0.054013524 0.05657811 0.05447813 0.060048975 0.055992544 0.053673577 0.052028216 8925.0 5.8421288 52141.0 0.010356533 0.012197695 0.010740109 0.011507259 0.00901402 0.0107592875 0.009896243 0.008745517 0.010241461 0.012140159 0.021959687 0.010509963 0.008438657 0.0109702535 0.022247368 0.010164745 0.011411365 0.013003203 0.011468901 0.010797645 0.010126388 0.01133465 0.0116606895 0.009416774 0.011142863 0.012082622 0.010989432 0.009953779 0.008553729 0.010183925 0.021518575 0.009282523 0.0072303945 0.008707159 0.010145566 0.007978367 0.011238757 0.009704455 0.008649623 0.008841411 0.007882472 0.009877064 0.0076331487 0.0068084616 0.008783874 0.009301702 0.009896243 0.02019524 0.0068276403 0.0074605397 0.009493489 0.00822769 0.009301702 0.011583975 0.0077674 0.007997545 0.007575612 0.009397595 0.009186628 0.0074605397 0.008246869 0.008055082 0.008035903 0.009301702 0.008726338 0.009877064 0.010912717 0.010509963 0.010567499 0.011085327 0.011737404 0.01118122 0.009512668 0.010855181 0.0097236335 0.009109913 0.010203104 0.010279818 0.012427839 0.009704455 0.008534551 0.010356533 0.011449723 0.01026064 0.009205807 0.010778466 0.011257935 0.010893539 0.009340059 0.01118122 0.009551025 0.008956484 0.020847319 0.008649623 0.011641511 0.009071556 6.537911 0.0 0.0 0.0 14.0 1353327.0 3784704.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 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 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 6.0 1.0 4.0 6.0 6.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 23.560469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9740806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.024726 0.0 0.0 0.0 0.0 0.0 0.0 2863104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -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 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 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 0.0 544.0 2908160.0 40796.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.011194684 0.006587317 0.007235855 0.0039961697 0.008114665 0.0046324753 0.010990594 0.0023756833 0.0074320044 0.006227638 0.0053992607 0.003189253 0.0062958826 0.0040839436 0.0089009795 0.0016061078 0.0075554023 0.0030431065 0.006900641 0.0032665108 0.005335952 0.0021861866 0.009374399 0.0016777861 0.0053441073 0.0031177893 0.0045159445 0.0023941393 0.003573826 0.0015440868 0.007508404 0.00083503017 0.007215682 0.004788708 0.0046882727 0.0017842305 0.0067856126 0.00447474 0.010063283 0.002016219 0.005400763 0.0037884316 0.0037146073 0.0032295987 0.004473667 0.0033815394 0.00818248 0.0033911967 0.0086685615 0.0035060106 0.0071214703 0.0034785413 0.006322279 0.0037579576 0.010244625 0.003036883 0.0051007443 0.0025915764 0.002896531 0.0007865293 0.0021982046 0.0010786074 0.0068834727 0.0005807226 0.0066783098 0.006658137 0.0072972323 0.0056218067 0.006544825 0.0044740965 0.01037489 0.0034523592 0.0070439978 0.005958308 0.0063471734 0.0046979296 0.005670951 0.004121499 0.009565184 0.0027460924 0.007382216 0.0042015472 0.006807717 0.00402321 0.0056361854 0.0036060167 0.010125304 0.0028287156 0.0057464927 0.0035038646 0.0056904806 0.0020138584 0.0028679883 0.0010191617 0.007219545 0.0007333071 0.0056046383 0.005722886 0.0040936004 0.0032300279 0.0061454442 0.004920047 0.009479985 0.0027544622 0.00627013 0.004533327 0.005423082 0.0034006394 0.0054522683 0.0044092853 0.0092413435 0.0027379375 0.006160681 0.002904686 0.004805018 0.002468393 0.0045741023 0.0035369138 0.008808484 0.0023057219 0.0047269017 0.00226323 0.0044511333 0.00046161652 0.0016181257 0.00062836503 0.0065587745 0.00049359276 0.0073618283 0.0035952865 0.006388378 0.002675058 0.0063688485 0.0028136931 0.010874063 0.0020402549 0.004026858 0.0030070527 0.003186463 0.001478203 0.0032761681 0.0017569755 0.0075272894 0.00072901504 0.0055218004 0.0024641007 0.0053290846 0.0024100202 0.004866395 0.0018080516 0.009786656 0.0018975422 0.0036242583 0.0026153978 0.002969926 0.0014035202 0.0024027235 0.0009157218 0.0071448623 0.0006908152 0.0054902537 0.0034379808 0.0039429474 0.0016930231 0.004497488 0.0024956479 0.008599029 0.001316605 0.003968915 0.0023398441 0.00306564 0.0010545716 0.0028624088 0.0016097561 0.007162889 0.00060626067 0.0044054226 0.001825864 0.0033384038 0.0010942736 0.0037309173 0.0018031157 0.00843035 0.0012968612 0.0026606794 0.0011929922 0.0020999152 0.0005427374 0.0018715749 0.0007826664 0.006711574 0.0005693485 0.0052335854 0.002992889 0.0047361297 0.0027782833 0.0030974017 0.0008219392 0.008015088 0.0009880438 0.0032753097 0.0022106518 0.0031177893 0.0020718018 0.0024887805 0.00069660955 0.006766083 0.0006174201 0.0039957403 0.0020518436 0.0030823792 0.0014449391 0.0034255337 0.0013472936 0.008047064 0.0008798827 0.0028503907 0.0014003011 0.0026550996 0.0012728254 0.0019958315 0.00055754517 0.0068459166 0.0006571222 0.0035223207 0.0022003506 0.0020627885 0.0010627266 0.002183826 0.00099019 0.006658566 0.0004375807 0.0025626046 0.00090520614 0.0023825506 0.0011756092 0.001785518 0.00056312495 0.006382583 0.00048157483 0.0024514392 0.0011421307 0.001301368 0.00023005714 0.0020816738 0.00093911384 0.0066124257 0.00046784006 0.0017814406 0.00020387526 0.001613619 0.00033950596 0.0013389239 0.0003453003 0.0064675673 0.0025420026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018247486 3.1128063e-06 1.5027341e-06 1.1807197e-06 8.587052e-07 2.2541012e-06 1.395396e-06 9.660433e-07 8.801729e-06 1.7174104e-06 1.0733816e-06 1.395396e-06 1.1807197e-06 2.0394248e-06 6.5476274e-06 3.3274828e-06 0.00017356579 2.89813e-06 1.395396e-06 4.293526e-06 1.0626477e-05 5.581584e-06 1.2880578e-06 1.5027341e-06 5.3669078e-06 8.587052e-07 7.5136705e-07 9.660433e-07 6.440289e-07 5.366908e-07 5.79626e-06 3.7568352e-06 0.00016862823 3.2201444e-06 1.9320867e-06 2.3614393e-06 1.395396e-06 4.186188e-06 1.8247486e-06 2.3614393e-06 1.277324e-05 2.4687774e-06 1.2880578e-06 1.395396e-06 2.790792e-06 3.0054682e-06 5.581584e-06 4.6155405e-06 5.9357997e-05 1.8676837e-05 3.2201444e-07 2.8766624e-05 0.0 5.044893e-06 0.0 0.0 1.8247486e-06 0.0 3.2201444e-07 3.2201444e-07 0.0 2.146763e-07 9.660433e-07 0.000104010665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002042645 1.1914535e-05 3.2201444e-06 2.8766624e-05 1.8247486e-06 3.2201444e-06 1.4168636e-05 1.0089786e-05 9.338419e-06 4.7228787e-05 3.2201444e-06 2.8659286e-05 2.0072233e-05 7.943023e-06 1.8354824e-05 0.00024719976 0.0007120813 5.517181e-05 3.134274e-05 6.955512e-05 2.8229933e-05 2.4795112e-05 6.322217e-05 4.647742e-05 2.8122595e-05 6.805239e-05 1.9320867e-05 6.0216702e-05 4.1325187e-05 3.2630796e-05 5.2059004e-05 0.00042602513 0.0006513279 5.9572674e-05 3.0913387e-05 0.00011571053 2.093094e-05 3.069871e-05 8.1469654e-05 3.885641e-05 4.4330656e-05 8.683657e-05 3.0376697e-05 6.1934115e-05 0.000105513405 5.1951665e-05 5.2488354e-05 0.00051554514 0.0004546844 5.7747926e-05 4.4652672e-05 4.1432526e-05 2.962533e-05 2.8122595e-05 4.0251805e-05 3.638763e-05 3.778303e-05 4.411598e-05 5.9572674e-05 6.257814e-05 7.127253e-05 6.783771e-05 6.118275e-05 0.000401552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011345642 0.000100575846 0.00013610478 0.0002554648 0.00032426856 0.00030698712 0.00040251805 0.00031557417 9.3062175e-05 6.665699e-05 0.00010036117 8.705124e-05 7.062851e-05 8.83393e-05 8.2972394e-05 9.3920884e-05 0.095395386 0.06788076 0.077142105 0.06771545 0.0968539 0.073005505 0.08278047 0.056305084 0.0668853 0.055550713 0.053944077 0.042065285 0.049609978 0.04226869 0.035077035 0.02806764 56540.0 5.9253626 335020.0 0.012300759 0.007718942 0.008578592 0.0027550594 0.011697809 0.0069607785 0.021404693 0.003313235 0.01010686 0.0066473642 0.0073129963 0.0073518 0.00908901 0.006077249 0.019022744 0.00807116 0.016781088 0.008062205 0.014375261 0.008115933 0.014211092 0.008721868 0.023338905 0.0071637514 0.0112082865 0.0062115695 0.005456391 0.0014924483 0.0052922214 0.0023461287 0.016643783 0.0012297774 0.013611128 0.014539431 0.01631246 0.012641036 0.012927586 0.009578533 0.023935884 0.008092054 0.015790103 0.013035043 0.015157304 0.010479972 0.010682944 0.00879649 0.0226285 0.0060653095 0.0152767 0.009697928 0.014515552 0.009674049 0.012470897 0.008572622 0.023703063 0.00719957 0.012769387 0.008017432 0.013026088 0.0043161605 0.0053459494 0.0020028655 0.01681989 0.0013999165 0.010599367 0.011706764 0.009912841 0.007575667 0.01353949 0.010306847 0.022150917 0.006136947 0.013912602 0.010190437 0.012870873 0.007939825 0.01253955 0.009939705 0.02275685 0.006519014 0.012849979 0.0066921376 0.010596382 0.0062712673 0.011178437 0.008715898 0.02192705 0.0057459255 0.01051579 0.005656379 0.010384454 0.0007909975 0.0038236524 0.0012208227 0.016037848 0.00085368037 6.372601 0.0 0.0 0.0 106.0 4659712.0 5566464.0 0.0 0.0 10.0 0.0 1.0 0.0 1.0 0.0 708992500.0 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 -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 -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 2.0 25.0 4.0 0.0 4.0 0.0 4628480.0 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 0.0 0.0 0.0 0.0 0.0 -4627968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.679536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2008753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4628480.0 0.0 0.0 0.0 0.0 0.0 901120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 624.0 5563688.0 29992.0 5533696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5532928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.010265859 0.0044934493 0.003936917 0.003920848 0.004012283 0.003849782 0.0038730935 0.0038366553 0.0038923312 0.003842087 0.0038436712 0.0038359761 0.0038862203 0.00384005 0.003825339 0.0038735461 0.0038850887 0.003869246 0.0038070066 0.0038350709 0.00387762 0.003819907 0.0038375605 0.003831676 0.0038522715 0.0038850887 0.0038285074 0.00380927 0.003853856 0.0038076856 0.0038248864 0.0037667209 0.004159394 0.0038296392 0.003818323 0.0037850533 0.0038411818 0.0038984418 0.0037900324 0.0038640404 0.0038570245 0.00389301 0.0038359761 0.0038248864 0.0038341656 0.0038373342 0.0038251127 0.0037999905 0.0039163213 0.0038703775 0.0038083645 0.003929901 0.0038214915 0.0038321286 0.0038126647 0.0038273758 0.0038592876 0.0039018367 0.0038518189 0.0038251127 0.0038411818 0.0038395973 0.0037823373 0.0037972748 0.004194248 0.004117977 0.0037621944 0.0038601928 0.0038997997 0.00404759 0.0039310325 0.0038617773 0.0038871255 0.0038889362 0.0039088526 0.0038515925 0.0038418607 0.0038565719 0.0038606457 0.0039007051 0.0039624916 0.0038753566 0.003874904 0.0039581917 0.003849782 0.003969055 0.0039122477 0.003849103 0.003804517 0.0038844098 0.0038975365 0.003952307 0.0038633614 0.0038647195 0.003901384 0.0038463871 0.0038101752 0.00397675 0.0038285074 0.0039303536 0.0040097935 0.0040989653 0.004010925 0.003860872 0.0039457437 0.003944612 0.0039206217 0.003833034 0.0039615864 0.003830997 0.0038762619 0.003949591 0.0039593233 0.0038210389 0.0040265415 0.0039921403 0.0041802158 0.003993951 0.0038298655 0.0038952732 0.0038905204 0.0038348446 0.0038271495 0.003820586 0.0038558927 0.0038368816 0.003826697 0.0038493294 0.0038676616 0.0038375605 0.0038762619 0.003919264 0.0038515925 0.0039065895 0.003831676 0.0038359761 0.003778716 0.004042158 0.0037707947 0.00448417 0.0038352972 0.004002551 0.0038054225 0.0038875781 0.0038703775 0.0038061014 0.0037861848 0.0038020276 0.0038049698 0.0038004431 0.0038298655 0.0038244335 0.0038653985 0.0038468398 0.003895047 0.003828281 0.0038208126 0.0038407291 0.0038418607 0.0038889362 0.0038350709 0.0038801094 0.0038411818 0.0038024802 0.0038529506 0.0038545348 0.0037667209 0.0037784898 0.003784374 0.003860872 0.0038061014 0.0038407291 0.0038509136 0.0038629088 0.003825339 0.0038269232 0.0038468398 0.0038029328 0.003844803 0.0038210389 0.0038398237 0.0038002168 0.0037696632 0.0038407291 0.0038696986 0.0038631351 0.0038436712 0.0038547611 0.0038488768 0.0038624562 0.0038543085 0.0037839215 0.0039991564 0.0038610983 0.0038758093 0.004017715 0.003831676 0.003764005 0.0038744514 0.003886673 0.0038418607 0.003885994 0.0038751303 0.0038244335 0.003861551 0.0038131175 0.0038760356 0.0039249216 0.003959097 0.003902063 0.0038513662 0.0038690197 0.0038565719 0.0038248864 0.0038617773 0.0037780371 0.0038359761 0.003869246 0.0038620036 0.0038502347 0.0038524978 0.0038298655 0.003790485 0.0038565719 0.0038534033 0.0037945588 0.0038180966 0.003844803 0.00385114 0.0038479713 0.0038631351 0.0038158332 0.0041786316 0.0038979892 0.0038687934 0.0039493646 0.0038710565 0.003833034 0.0038153806 0.0038054225 0.0038683405 0.0038187755 0.0038366553 0.0038751303 0.0038724144 0.003833713 0.003828734 0.0038429922 0.003913153 0.0038597402 0.003820586 0.003899347 0.003933748 0.0038778463 0.0038850887 0.006163499 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00019596913 3.2831338e-06 3.6227684e-06 2.1510186e-06 4.868095e-06 2.4906533e-06 2.7170763e-06 1.5849612e-06 2.4906533e-06 5.6605757e-07 1.1321151e-06 6.792691e-07 1.4717497e-06 5.6605757e-07 2.8302877e-06 5.4341526e-06 0.00037416405 1.3585382e-06 2.8302877e-06 3.962403e-06 1.4604285e-05 3.5095568e-06 7.3587485e-06 5.320941e-06 2.9434993e-06 1.3585382e-06 3.2831338e-06 3.0567107e-06 1.0528671e-05 1.5509977e-05 3.3963454e-06 1.0528671e-05 0.0005051498 3.6227684e-06 3.962403e-06 6.1134215e-06 1.1547574e-05 9.3965555e-06 2.7170763e-05 1.3585382e-05 7.245537e-06 3.2831338e-06 2.6038647e-06 3.3963454e-06 2.0491283e-05 2.5585801e-05 6.4530564e-06 4.5963872e-05 0.00036046546 2.4906533e-06 5.026591e-05 1.5849612e-06 2.5812225e-05 1.3698593e-05 0.00015408087 8.717286e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050492334 2.2642303e-06 2.4453686e-05 1.1773997e-05 5.9209622e-05 2.2755514e-05 0.00014468431 6.939866e-05 5.5473643e-06 4.0756145e-06 5.5473643e-06 3.849191e-06 1.51703425e-05 1.9019533e-05 6.226633e-06 2.85293e-05 0.0008632378 1.5509977e-05 0.0001239666 3.3850243e-05 7.302142e-05 5.01527e-05 0.00029706702 0.00015385445 1.10947285e-05 4.1435414e-05 1.2566477e-05 1.2000421e-05 3.83787e-05 4.9133796e-05 2.2302667e-05 5.7285026e-05 0.0012586856 2.9661416e-05 7.290822e-05 6.781369e-05 0.00016336421 6.9059024e-05 0.00018261017 0.00012136274 4.664314e-05 8.739929e-05 3.4189878e-05 4.358643e-05 6.826654e-05 8.1851926e-05 4.947343e-05 0.00017355324 0.00010630561 1.1321151e-06 3.849191e-06 4.641672e-06 8.038018e-06 6.1134215e-06 7.3587485e-06 5.2077294e-06 4.5284605e-06 3.2831338e-06 4.7548833e-06 4.0756145e-06 1.1773997e-05 1.57364e-05 1.3019324e-05 3.2038857e-05 0.0010189036 3.9850453e-05 9.6229785e-05 0.00011332472 0.00036318254 0.00029242533 0.00035220102 0.00015759042 9.6229785e-05 7.222895e-05 6.668158e-05 6.894581e-05 0.00015464693 0.00020072401 0.00019200673 0.00065640034 0.0011506818 9.6343e-05 0.00012566478 0.00014989205 0.00042918485 0.0004111842 0.0003363514 0.0002928782 0.0004690353 0.000108456625 9.589015e-05 0.00012713653 0.00029355744 0.00023344214 0.00025065028 0.0009942235 0.0017887419 0.00028484015 0.000302954 0.00039114576 0.0006414564 0.00069194875 0.00042103362 0.0004248828 0.0011460402 0.00016234531 0.00014287293 0.00023559315 0.0005772655 0.00031891683 0.00055994414 0.0011843056 0.060803525 0.060925003 0.060874734 0.060712844 0.060881075 0.060708087 0.060821187 0.06108927 0.060756657 0.06088787 0.06091753 0.060861375 0.060840093 0.06070888 0.060821075 0.06095908 20288.0 5.845426 118592.0 0.012715866 0.009418848 0.009958513 0.009629655 0.00968868 0.010337966 0.009806733 0.010118727 0.009832029 0.010017539 0.0096212225 0.009848894 0.009595926 0.010270507 0.010270507 0.01064996 0.01146789 0.010396991 0.010456017 0.00942728 0.009773003 0.010228346 0.010068133 0.010034404 0.010068133 0.009882622 0.009924784 0.009916352 0.0099753775 0.010219914 0.0099332165 0.009359822 0.010110294 0.010633095 0.009393551 0.01109687 0.00990792 0.010262075 0.010253643 0.0099332165 0.009848894 0.01035483 0.010093429 0.010489746 0.0099753775 0.010337966 0.010152455 0.01035483 0.010456017 0.010025972 0.010144023 0.010658392 0.010278939 0.010295804 0.010253643 0.010388559 0.009747706 0.0102452105 0.010413856 0.010700553 0.009916352 0.010304237 0.010396991 0.010236778 0.00972241 0.012446034 0.010017539 0.011054709 0.011501619 0.014368592 0.010700553 0.010321101 0.010489746 0.012446034 0.010017539 0.010076565 0.011670264 0.010751147 0.011771452 0.011923233 0.01083547 0.010186184 0.013010995 0.012412304 0.013306125 0.011510051 0.010110294 0.010034404 0.010194616 0.010270507 0.009747706 0.010236778 0.009671816 0.009553764 0.009477873 0.009587493 6.5799603 1.0 15.0 0.0 60.0 4418432.0 159744.0 0.0 0.0 120.0 0.0 1.0 1.0 1.0 0.0 1360002300.0 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 -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 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 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 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.953736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.456709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4048796 -5.013272 5.581505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22196.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61740.0 -3536.0 41428.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 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 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 -1.0 0.0 0.0 -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 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 -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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 2.0 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 -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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 -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 -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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 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 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 -3.0 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 -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 1.0 2.0 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 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 0.0 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 0.0 0.0 -1.0 0.0 0.0 -2.0 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 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 3.0 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 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 -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 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 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 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 -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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 41428.0 114688.0 0.0 0.0 5904.0 4412528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.067670226 0.006119205 0.0042076535 0.004633775 0.0051950086 0.004322778 0.004130903 0.0035992505 0.005369295 0.0031627354 0.0032226963 0.003501714 0.005344511 0.004545033 0.0030691964 0.009462623 0.010306072 0.008035555 0.0028773218 0.0027613973 0.003742357 0.004738507 0.0027701915 0.0027813844 0.0039086486 0.0028605326 0.0027454079 0.0028133634 0.003396183 0.0033690007 0.0028045692 0.0030396157 0.0041045207 0.0027693922 0.0028565351 0.0030556053 0.0043539577 0.0035520813 0.0028821186 0.0028261552 0.0033266284 0.0026510693 0.00294128 0.0034777296 0.003160337 0.0031131678 0.0027478063 0.0027438088 0.003541688 0.0028469416 0.0028037697 0.0044818744 0.0033474148 0.0033098394 0.002758999 0.0027094313 0.0034825266 0.0033386205 0.002760598 0.0033841908 0.0032442822 0.0035009147 0.0027350145 0.0028189598 0.0046041943 0.004134901 0.0040373644 0.0038550834 0.0044610878 0.005620331 0.004635374 0.0051062666 0.0036847945 0.0030691964 0.0028805195 0.0029300873 0.003466537 0.0035488834 0.002981254 0.0030747927 0.00447308 0.003105173 0.004322778 0.0037983204 0.0037311644 0.0036863936 0.0033833913 0.0032954488 0.0031675322 0.0032194983 0.0027845823 0.0029124988 0.003292251 0.003406576 0.0030524074 0.0030372173 0.0035672714 0.0031371522 0.0026918428 0.0030875844 0.0035081098 0.0036744014 0.0037903257 0.0029116992 0.015602615 0.005130251 0.0033690007 0.0027270198 0.0033937846 0.0031723292 0.003287454 0.0033698003 0.0037167736 0.0029420794 0.003289053 0.003471334 0.0043267757 0.004102122 0.0028621317 0.0027981733 0.0033690007 0.0028933112 0.0029684622 0.0028557358 0.0033314251 0.003376196 0.0030827876 0.0029116992 0.0052317847 0.0035992505 0.002906103 0.0054556387 0.005247774 0.006968251 0.0030979777 0.0028805195 0.0040741405 0.005877763 0.0031187641 0.01086091 0.003233889 0.0053988756 0.0028445432 0.0027462072 0.0034305605 0.0027510042 0.0026550668 0.002683848 0.0031683317 0.003157139 0.0026654599 0.002723822 0.0034809276 0.0027214235 0.0027566005 0.002924491 0.0033122378 0.0029220926 0.0028029701 0.0029452774 0.003739159 0.0043147835 0.00297166 0.0045626215 0.003299446 0.0027182256 0.0027462072 0.0027438088 0.003563274 0.0028045692 0.002806168 0.0027853816 0.0031875193 0.0028733243 0.0028269545 0.0028253556 0.0036767998 0.0028341499 0.0027230224 0.0028229572 0.0033314251 0.0031627354 0.003699185 0.0030108346 0.0062799007 0.0031939151 0.0028349494 0.0028285536 0.0030907823 0.002994845 0.0032171 0.00297166 0.00494797 0.0049000015 0.003173928 0.0050463057 0.0034953183 0.002775788 0.0037503517 0.006436598 0.0039238385 0.0030907823 0.003006837 0.002827754 0.0045394367 0.002682249 0.0029844518 0.0030995766 0.0037079793 0.003026824 0.0029516732 0.002814163 0.0032226963 0.0027310173 0.0028189598 0.002737413 0.00358486 0.0028333503 0.0028029701 0.0028285536 0.0035496827 0.0029436783 0.0029612668 0.0028549363 0.004138898 0.0029404804 0.0028021708 0.0028853165 0.0036216357 0.00295647 0.0028517384 0.002648671 0.0053413133 0.004919988 0.002806168 0.0030795897 0.0037799324 0.0027877802 0.0028133634 0.003013233 0.004190864 0.0028005717 0.0028365483 0.0031467457 0.0036400238 0.0030356185 0.003406576 0.0030580037 0.0041580857 0.0032482794 0.0031675322 0.0035904562 0.004122109 0.0036783987 0.0040101823 0.023776479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.003024142 0.00012006916 0.00022853163 0.00018450628 0.0004798764 0.00017770236 0.00072922005 0.00052670337 0.0006259605 8.244749e-05 0.00011166432 0.00013607838 0.00019211066 0.00019771389 0.0004614658 0.00091852905 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055047707 0.0007620389 0.00053150614 0.00078125 0.0013119557 0.0012231045 0.0008769051 0.0011142418 0.002807217 0.00034019595 0.00031538165 0.0005495165 0.0013956039 0.0004906826 0.0014072106 0.0027195665 0.04293513 0.014012471 0.006992828 0.007545146 0.012714123 0.009750016 0.013644659 0.0070376536 0.019577276 0.0054535414 0.007531538 0.008378426 0.01211778 0.0059021995 0.0082935775 0.018113634 0.06583913 0.04736368 0.04133381 0.041676406 0.045284085 0.042145077 0.046550814 0.040685836 0.049412463 0.040656216 0.04215148 0.042801853 0.04574635 0.041135293 0.04214027 0.048028063 4460.0 7.0585203 31481.0 0.01902735 0.006829516 0.0069883424 0.008163654 0.0088942535 0.0071154027 0.007305994 0.008989549 0.007496585 0.007274229 0.0061624474 0.008227184 0.0068930467 0.00740129 0.007814237 0.007274229 0.008862489 0.0073377592 0.0068930467 0.008513072 0.00838601 0.007305994 0.006956577 0.006765986 0.008671897 0.007305994 0.0077507067 0.007305994 0.007655411 0.0077507067 0.0077189417 0.0076871766 0.009370731 0.009593088 0.008989549 0.010133096 0.009243671 0.008767193 0.011054287 0.009783679 0.009593088 0.007973063 0.0071789334 0.006448334 0.009084845 0.008036594 0.007973063 0.008163654 0.010895461 0.007973063 0.007782472 0.010387218 0.009402497 0.0070201075 0.008544836 0.010006036 0.008513072 0.0070201075 0.008513072 0.00746482 0.009878974 0.0068612816 0.0071789334 0.011022521 0.008798958 0.019313237 0.008417776 0.015310822 0.015247292 0.033385217 0.010387218 0.011117817 0.02312506 0.02680982 0.008227184 0.0078460025 0.01677202 0.016835552 0.019789714 0.02630158 0.013786093 0.012134303 0.022362694 0.026365109 0.025888631 0.012134303 0.009211905 0.008513072 0.009593088 0.009878974 0.008354246 0.007877767 0.00838601 0.00819542 0.007591881 0.00746482 6.439642 0.0 2.0 0.0 13.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 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 -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 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994149 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 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 -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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 2.0 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 -2.0 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 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 -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 -1.0 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 0.0 0.0 0.0 1.0 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 -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 -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 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 -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 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 -1.0 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 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 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 -2.0 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 -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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.251506 0.0131579805 0.005396516 0.0041512917 0.007712568 0.0034113282 0.005018385 0.0024187344 0.00873613 0.0032255226 0.0021840325 0.00143429 0.0060924725 0.002149805 0.0011376527 0.0064331163 0.0049988264 0.0010724578 0.0010349706 0.0010349706 0.0032793083 0.0023323512 0.0017504857 0.0008410155 0.0022264093 0.0012501141 0.0014245107 0.0008198271 0.0018238301 0.00069269683 0.0006633591 0.0008296064 0.0068487343 0.00077582046 0.0016624725 0.0008051582 0.0021970714 0.0010871266 0.0006600994 0.0010545291 0.0012550037 0.0005916446 0.00056882633 0.0017227778 0.0011099449 0.0016885505 0.0014310302 0.000638911 0.007649003 0.005789316 0.005319912 0.008700272 0.005147145 0.0045196433 0.0043713246 0.004420221 0.0056181788 0.004509864 0.0017178882 0.003820427 0.0020487527 0.0022964939 0.0013690949 0.0034243672 0.0073425868 0.0058235433 0.027611712 0.00468752 0.005318282 0.017630357 0.006297837 0.0013120493 0.0015271929 0.001095276 0.0009860743 0.00068617734 0.0013935431 0.005903407 0.0017928624 0.0008654636 0.0075658797 0.002060162 0.0011262436 0.0031375093 0.001655953 0.0036118028 0.0037992385 0.003038087 0.0015076343 0.0037584917 0.00065683963 0.0011360229 0.0014913356 0.0038905116 0.0023551693 0.00182546 0.0012566335 0.004143142 0.0012533738 0.0027903458 0.0031114314 0.0075691394 0.004891255 0.0016738815 0.004068168 0.0039051804 0.0047347867 0.0011963282 0.0036183223 0.0019525902 0.0040306807 0.0044658575 0.002633878 0.00073018397 0.0044919355 0.0046321047 0.010468687 0.009916159 0.0014554784 0.0014945953 0.0017439662 0.0016445438 0.0008051582 0.0005802355 0.0011702502 0.0024578515 0.0013446468 0.0012207764 0.0032222627 0.0013267183 0.000795379 0.009531509 0.0026029104 0.007143742 0.0011392826 0.000586755 0.0017358168 0.008871409 0.001160471 0.023515835 0.0010789772 0.01186549 0.00067965785 0.00049222226 0.0009974835 0.0004628845 0.0003439036 0.0007155151 0.0009485872 0.00064543047 0.0004025791 0.00037487125 0.00092087936 0.00077745033 0.00052318984 0.00046614424 0.0009795548 0.000678028 0.0004482156 0.00083123625 0.0010773473 0.0009844445 0.00036020236 0.0006486902 0.0009371781 0.0004482156 0.00037324138 0.00048407287 0.0013104194 0.00041887787 0.00041235835 0.0004237675 0.0007888595 0.00037976087 0.00044984548 0.00054437824 0.001186549 0.000404209 0.00032760485 0.00067476823 0.0009958536 0.0008964312 0.0011099449 0.0010007432 0.0023013835 0.00064706034 0.0005916446 0.00050363137 0.0012077374 0.0011669905 0.000808418 0.0010577888 0.007288801 0.0024285137 0.0022638964 0.0033982892 0.0029011774 0.0009045806 0.0027984953 0.002632248 0.002490449 0.002138396 0.0006943267 0.0006503201 0.0018173106 0.0007057359 0.0014147315 0.0011686203 0.0023779876 0.0011050552 0.001017042 0.00063402136 0.0016738815 0.0004090986 0.00066824874 0.0007334437 0.00247578 0.0009534769 0.00053296913 0.0012354453 0.0010659383 0.0007888595 0.00051667035 0.00060794334 0.002319312 0.00065194996 0.0006486902 0.0004905924 0.00195585 0.0013642054 0.00081004784 0.0005932745 0.014791115 0.0028913983 0.00056067697 0.003898661 0.0042295256 0.0007220346 0.0006438006 0.0045636497 0.0068145073 0.004980898 0.0010268212 0.0010105225 0.0019933372 0.0012289258 0.017244076 0.0024937086 0.0034602245 0.0014114717 0.00089969096 0.00096814573 0.005308503 0.0027381899 0.0045538708 0.059651792 0.0033224355 0.0 0.0 0.0 2.4495714e-06 2.4495714e-06 2.4495714e-06 0.0 2.4495714e-06 0.0 0.0 0.0 0.0 2.4495714e-06 0.0 9.798286e-06 0.003225269 4.899143e-06 3.2660953e-06 1.6330476e-06 4.899143e-06 0.0 0.0 1.6330476e-06 4.899143e-06 4.899143e-06 0.0 0.0 0.0 0.0 1.6330476e-06 9.145067e-05 0.0060414597 7.675324e-05 9.798286e-06 5.1441002e-05 1.1431333e-05 4.899143e-06 6.5321906e-06 1.1431333e-05 1.6330476e-05 8.981762e-06 4.082619e-06 4.082619e-06 6.5321906e-06 4.082619e-06 1.2247858e-05 0.00041887673 0.003856442 0.0009822781 1.2247858e-05 1.061481e-05 1.1431333e-05 5.7156667e-06 1.061481e-05 9.798286e-06 1.4697429e-05 1.1431333e-05 1.4697429e-05 9.798286e-06 8.165238e-06 6.5321906e-06 2.7761811e-05 2.4495715e-05 0.0062578386 0.00066954957 1.3064381e-05 1.5513953e-05 0.000106964624 1.1431333e-05 2.6945287e-05 1.7963524e-05 3.9193143e-05 1.6330476e-05 2.0413096e-05 2.4495715e-05 3.674357e-05 1.3064381e-05 3.5110526e-05 0.0010565819 0.005737713 0.0005348231 2.2046144e-05 6.368886e-05 0.0002629207 1.4697429e-05 2.7761811e-05 2.4495715e-05 4.899143e-05 2.2046144e-05 3.1027907e-05 2.6128762e-05 3.837662e-05 1.4697429e-05 0.000110230714 0.0013815584 0.041288342 0.0002637372 0.0005209422 0.015798919 0.013303623 0.00046133596 0.0022470737 0.0007854959 0.0002637372 7.9202815e-05 8.981762e-05 5.0624476e-05 0.00010124895 8.328543e-05 0.00034702264 0.009599871 0.08746603 0.00050787785 0.004797894 0.016676683 0.025291009 0.0020690714 0.015106508 0.006849002 0.00054298836 0.000703027 0.0003805001 0.00024903976 0.00034212347 0.00031762777 0.0031044236 0.022887163 0.023802485 0.00048501516 0.0017269478 0.00077406457 0.0066285403 0.0010516827 0.0060145147 0.0032914076 0.0003560044 0.00040581234 0.00027516854 0.00032007735 0.00028170072 0.00020494749 0.0010010583 0.006892278 0.021643598 0.0007275227 0.0018412613 0.0015481291 0.004531707 0.0013448148 0.007138868 0.003782955 0.0006801644 0.00040662885 0.000377234 0.00034294 0.00045643683 0.00031762777 0.00068996265 0.0026651337 0.010788729 0.0005699336 0.0009390024 0.0005544197 0.0022838172 0.00070384354 0.004312062 0.0024463055 0.00042050978 0.00023842495 0.00019923181 0.00020168138 0.00033477478 0.00040989497 0.00024087453 0.00044010635 0.007193575 0.0012411162 0.0010884262 0.0124332085 0.0012786763 0.0009251215 0.0010565819 0.0010663801 0.0011757943 0.001044334 0.00093736936 0.0009896269 0.0010296366 0.0009904434 0.0010916924 0.0015750745 0.0047970773 0.0006785313 0.00055686926 0.0014844403 0.0014150358 0.00096349814 0.0006417877 0.0008238726 0.0035094195 0.00049154734 0.00037396792 0.00091287366 0.0012451989 0.00038866533 0.0012305015 0.0055703255 0.047344502 0.007714517 0.004833821 0.008909908 0.015869956 0.014966065 0.0074654776 0.011893486 0.034416478 0.0027386209 0.0025197926 0.004561919 0.014292433 0.0049562994 0.015682973 0.034275223 0.047615588 0.00975501 0.0060537076 0.010547038 0.017721834 0.018550605 0.009044634 0.014173221 0.032427426 0.0029084578 0.0031966907 0.0055392976 0.01603816 0.0074916063 0.016023465 0.027060416 0.003594338 0.0018306464 0.0016199832 0.001882904 0.0016322312 0.0015562944 0.0015391475 0.001627332 0.0018788213 0.0013864575 0.0015881389 0.0016322312 0.0015032204 0.0015848727 0.0015546613 0.002016814 1740.0 12.217241 21258.0 0.03377552 0.0019286857 0.003669207 0.0019286857 0.007009126 0.0015053157 0.0018816446 0.0035280834 0.0042807413 0.002022768 0.0013171512 0.002069809 0.0043748235 0.004562988 0.0084674 0.0033869601 0.020933297 0.014206416 0.014817951 0.011854361 0.0135478405 0.0112428265 0.009643428 0.00931414 0.015053157 0.012512936 0.013783046 0.014206416 0.014629787 0.01223069 0.01053721 0.012559977 0.013359676 0.010490169 0.002022768 0.011525073 0.0121836485 0.005362687 0.006209427 0.0075736195 0.0060683037 0.007338414 0.00127011 0.001646439 0.0072443318 0.0039514536 0.0047041113 0.0047511524 0.019380938 0.004092577 0.005739016 0.012418854 0.008796688 0.0037632892 0.008232195 0.011760279 0.0076677017 0.00211685 0.0025872614 0.0017875623 0.0043277824 0.0022109323 0.0027283847 0.0054567694 0.0059271804 0.03339919 0.0075736195 0.023285352 0.021262584 0.06030671 0.008561483 0.008091072 0.015758773 0.027989462 0.006162386 0.0030576724 0.02446138 0.01180732 0.025166996 0.033634398 0.013830087 0.0019757268 0.03504563 0.024743626 0.04784081 0.01519428 0.0059271804 0.003716248 0.008561483 0.008655565 0.00211685 0.0014582745 0.0039044125 0.0015053157 0.0016934801 0.0018346035 6.035344 0.0 12.0 0.0 4.0 613544.0 626688.0 1.0 2.0 191.0 1.0 1.0 1.0 0.0 0.0 1507256200.0 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 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 -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 10.0 0.0 14.0 10.0 5.0 1.0 5.0 1.0 374784.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -374784.0 -5632.0 205312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6423764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4405682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4442415 -5.571926 4.6016707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -374568.0 -5422.0 205008.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 0.0 1.0 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 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 0.0 0.0 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 -1.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 1.0 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 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 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 -1.0 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 -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 -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 1.0 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 -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 -2.0 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 -2.0 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 -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 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 -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 -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 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 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 -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 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 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 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 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 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 1.0 0.0 -1.0 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 -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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 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 -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 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 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 -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 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 1.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -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 0.0 120.0 378544.0 200.0 394036.0 205008.0 401408.0 0.0 0.0 6312.0 607232.0 15212.0 610304.0 84.0 77472.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 30640.0 0.0 0.0 816.0 393216.0 128.0 377732.0 0.0 0.0


Input: 0.013321699 0.0047799107 0.0038200505 0.003674617 0.003674617 0.0050513865 0.0038685282 0.0035970525 0.003170448 0.0050707776 0.003587357 0.0030831879 0.003742486 0.004615086 0.0032674035 0.0046829553 0.0037812681 0.004867171 0.0037133992 0.0034710104 0.003519488 0.0050901687 0.0036455304 0.0033158814 0.0033158814 0.0042757415 0.003432228 0.0035582704 0.0030734923 0.004634477 0.003849137 0.003412837 0.0034419235 0.0049641263 0.0031995347 0.003984875 0.0034710104 0.0046829553 0.0037715726 0.0035582704 0.0037037036 0.004973822 0.0035582704 0.0035291836 0.0035291836 0.0045278263 0.0033837503 0.003325577 0.0036843126 0.004382393 0.0033352724 0.0035485749 0.0031607524 0.004750824 0.003344968 0.003567966 0.0035485749 0.004644173 0.0037521815 0.0032964903 0.0035970525 0.0050319955 0.0035776615 0.003480706 0.0035582704 0.0049932133 0.003432228 0.0035582704 0.0035485749 0.004828389 0.0034904014 0.003674617 0.0034031414 0.0049641263 0.0035291836 0.003344968 0.0032092303 0.00467326 0.0032383169 0.003412837 0.0037521815 0.004537522 0.0034710104 0.003451619 0.0036649215 0.0048186933 0.003189839 0.0038976148 0.0035291836 0.004110917 0.0031607524 0.003480706 0.0032383169 0.004518131 0.0038685282 0.0033740548 0.0033740548 0.004518131 0.0034710104 0.0034710104 0.003451619 0.004644173 0.0034419235 0.003277099 0.003538879 0.005235602 0.003344968 0.003480706 0.003500097 0.004973822 0.003364359 0.0039073103 0.003587357 0.004770215 0.0037327905 0.0038006592 0.003635835 0.0049932133 0.0036843126 0.0034613148 0.003500097 0.004770215 0.003538879 0.003761877 0.0031607524 0.0048962575 0.003325577 0.0034904014 0.003538879 0.0052259066 0.003412837 0.0031995347 0.004110917 0.0049641263 0.0037909637 0.0039267014 0.0039751795 0.004944735 0.0037715726 0.0038103547 0.003606748 0.005235602 0.003451619 0.0032867948 0.0037715726 0.0047411285 0.0034419235 0.003480706 0.0032964903 0.0044308705 0.0034225325 0.0037327905 0.003325577 0.0046538687 0.003538879 0.0030541013 0.003412837 0.0046247817 0.003451619 0.0035097925 0.003500097 0.0048380843 0.0033061858 0.0037327905 0.0033546635 0.0047799107 0.0035097925 0.0037133992 0.003189839 0.0044114795 0.0037521815 0.003451619 0.0033934459 0.0050513865 0.0034031414 0.0042175683 0.003257708 0.004712042 0.0036261391 0.003538879 0.003412837 0.004789606 0.0032092303 0.0034710104 0.003723095 0.004644173 0.0035485749 0.0031801434 0.003500097 0.0049835173 0.0035097925 0.003829746 0.0038685282 0.0049835173 0.0038782237 0.003849137 0.003587357 0.0049544307 0.0042757415 0.0038976148 0.0036164436 0.005041691 0.003519488 0.0036649215 0.0034613148 0.004518131 0.0037909637 0.0035582704 0.0035097925 0.0044987397 0.004227264 0.0037715726 0.003694008 0.0049156486 0.0032964903 0.003432228 0.003694008 0.005216211 0.0035582704 0.0033061858 0.0038782237 0.004459957 0.0032867948 0.003538879 0.0032867948 0.00467326 0.003587357 0.0031316658 0.0033158814 0.0047799107 0.003635835 0.0034710104 0.003723095 0.0050319955 0.0038103547 0.003567966 0.003538879 0.0044987397 0.0037327905 0.003364359 0.0036164436 0.005061082 0.003946093 0.0041303085 0.003519488 0.005080473 0.004333915 0.0035485749 0.003606748 0.0048574754 0.003480706 0.003723095 0.0034613148 0.005148342 0.0037037036 0.0038976148 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004813763 0.0003945707 0.00031565657 0.00019728535 0.00030086018 0.00028113162 0.00046362058 0.0003057923 0.0005869239 0.00019235323 0.00030086018 0.00018742109 0.0005869239 0.0003353851 0.00031565657 0.0005228062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026584202 0.00069543085 0.00069049874 0.00074968435 0.00060665247 0.0008335306 0.0009617661 0.0007595486 0.002470999 0.00044389206 0.00076448073 0.0008631234 0.0027718593 0.0013366083 0.0009913589 0.0026041667 0.061888415 0.060043797 0.06083294 0.059945155 0.06021149 0.05915601 0.05963443 0.061207782 0.061523438 0.059550583 0.06065538 0.060176965 0.061498776 0.060921717 0.060098052 0.062352035 461.0 5.6984816 2627.0 0.009897221 0.014084507 0.011800533 0.0137038445 0.008755234 0.012181195 0.015607157 0.0079939095 0.008755234 0.012561858 0.008755234 0.0076132473 0.00647126 0.010658545 0.009135896 0.008374572 0.012181195 0.008374572 0.010658545 0.011419871 0.0076132473 0.012561858 0.008374572 0.009897221 0.008374572 0.012561858 0.009516559 0.008755234 0.009897221 0.016749144 0.010277883 0.0068519223 0.0072325845 0.0152264945 0.010277883 0.012181195 0.009897221 0.015607157 0.009135896 0.012561858 0.010658545 0.017129805 0.0068519223 0.008374572 0.0072325845 0.011800533 0.0072325845 0.010277883 0.012181195 0.010277883 0.009516559 0.009516559 0.009516559 0.011039209 0.0057099354 0.01294252 0.009135896 0.010277883 0.0076132473 0.0072325845 0.009897221 0.008755234 0.01294252 0.009897221 0.0072325845 0.011039209 0.012181195 0.011039209 0.0068519223 0.015607157 0.009516559 0.009516559 0.009897221 0.012181195 0.009516559 0.009897221 0.012181195 0.014845831 0.008755234 0.01294252 0.009897221 0.011419871 0.009897221 0.009897221 0.009516559 0.014465169 0.012181195 0.0076132473 0.009897221 0.014084507 0.0076132473 0.014084507 0.009135896 0.012561858 0.009516559 0.00647126 6.544811 0.0 0.0 0.0 2.0 103140.0 77824.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1013346940.0 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 0.0 512.0 512.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.986821 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 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 -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 -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 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 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 -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 60.0 4192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4096.0 0.0 0.0 0.0 0.0