Input: 0.17056523 0.009025787 0.004712439 0.0034538023 0.007233519 0.0025427376 0.0020963936 0.002261123 0.008035967 0.0015851421 0.002107485 0.0018979309 0.005580385 0.0017356954 0.0014728506 0.0042974 0.0043168264 0.0013825448 0.0007834814 0.0007895193 0.0027904224 0.0015895392 0.0011483141 0.00088605983 0.0023085726 0.0009429603 0.0007493542 0.0008560017 0.0021276986 0.0007355721 0.0009889008 0.0008013325 0.0054594306 0.0006309591 0.0009539204 0.0007549983 0.010965983 0.0010003858 0.0007376066 0.00060720136 0.001732414 0.00067191175 0.0006077264 0.0014630061 0.0013383107 0.0007198867 0.0010557113 0.0011836883 0.0025978663 0.0009860788 0.0011204873 0.0027624643 0.0015280447 0.0008848785 0.00087509974 0.0008742466 0.0016900832 0.0011477891 0.0010330036 0.0022752332 0.001699665 0.0014411516 0.0012911232 0.0014729818 0.0037018806 0.0029544954 0.0025260022 0.0015296855 0.004663742 0.00917529 0.0018317766 0.0011871665 0.002358779 0.0014059087 0.0014408234 0.0008179367 0.003691577 0.008694294 0.0016090968 0.0011874947 0.007412884 0.00486378 0.0034202002 0.002326949 0.003195092 0.006396222 0.0026191957 0.0021507344 0.001935077 0.0017749417 0.00091336155 0.0010780252 0.0016422395 0.0023002378 0.0016646846 0.001492933 0.0015108498 0.002675965 0.0015803511 0.0016907394 0.0032881543 0.0038211946 0.0018651163 0.0013574087 0.003956653 0.0026413784 0.0049640615 0.0027534731 0.0030171713 0.0016352828 0.0023808305 0.0028874222 0.002628712 0.0011431294 0.0027805779 0.0021535566 0.0066970005 0.0040508313 0.0013163249 0.0017431115 0.0015910487 0.0012905982 0.001391536 0.00097334664 0.0021119476 0.0019856114 0.0012420983 0.0009837161 0.00329032 0.0024924658 0.0014210035 0.008461638 0.0029352005 0.005714728 0.0011866415 0.00082988123 0.0021439746 0.008991004 0.0016498525 0.03192237 0.0018629505 0.008959108 0.0012802944 0.0010474421 0.0019057407 0.0008908508 0.0009671775 0.0010140368 0.0012818039 0.0017421271 0.0007639239 0.0006933725 0.0012186687 0.0013549149 0.0007433163 0.00091428036 0.0012240502 0.0007801343 0.0012699907 0.0008281749 0.0018206852 0.0017712009 0.0011563865 0.0016329201 0.0013490082 0.0026757026 0.0009888351 0.000810455 0.0013395576 0.0011113649 0.0008908508 0.000931344 0.0023181546 0.00073530956 0.0013767037 0.001213812 0.0020901589 0.0012514176 0.00086873374 0.0010282127 0.0017811109 0.0015188566 0.0016938241 0.0014132592 0.0027445476 0.0156861 0.0014491584 0.0012088242 0.001629048 0.001467994 0.0014336698 0.0016024025 0.0060573127 0.0028433194 0.002805714 0.0024482973 0.004083711 0.0018640662 0.003699518 0.004806814 0.0030824724 0.0020954092 0.0018779796 0.0020011656 0.015310439 0.0018217353 0.0031868226 0.0029254872 0.0037040464 0.0019316643 0.0029821252 0.0023148076 0.0027179022 0.0018459525 0.002032602 0.0023297053 0.0042442405 0.0026285807 0.0020103536 0.0022099977 0.002751373 0.0024551228 0.0027388379 0.001979836 0.0039612474 0.0022642075 0.0022647982 0.0022572507 0.0044988818 0.0026626424 0.0020131757 0.0022403183 0.012770983 0.0044372557 0.0021406277 0.0042727236 0.0049115582 0.0024162703 0.0026412471 0.0027771653 0.004838316 0.0023969752 0.002053866 0.0020843178 0.0032326318 0.002086943 0.0026381626 0.0024279524 0.0043415683 0.0024853777 0.0033400012 0.0030990764 0.006859433 0.0040606754 0.0063386653 0.14919119 0.009998952 1.037011e-05 1.4866013e-05 0.00020215152 0.00020106857 1.9361914e-06 2.4612605e-06 6.7865156e-05 6.7176e-05 0.0005367517 4.889704e-06 5.0209715e-06 6.2023764e-06 1.1256165e-05 0.00017045048 0.02405042 0.0034361493 0.00015502659 0.00015204026 6.130179e-05 0.00059651106 2.0379237e-05 1.8541496e-05 7.554429e-05 0.00015394363 8.8506924e-05 1.7392907e-05 2.7369217e-05 5.8938982e-05 6.8980924e-05 0.0008742725 0.014357747 0.0030402145 0.00029472774 0.00013087342 0.000303457 3.2094835e-05 3.307934e-05 3.6426653e-05 0.00014672393 0.00015565011 9.799098e-05 7.49864e-05 0.0009687849 7.380499e-05 0.0007504219 0.00053415913 0.009120677 0.0038755336 0.00035140236 0.00016815332 0.0010485626 0.00016017882 7.5413016e-05 4.594353e-05 0.00013733833 0.00022000386 9.1690155e-05 0.00021472036 0.0023058727 0.000339818 0.0007974484 0.0018320966 0.0063477876 0.004108861 0.00019571943 0.0002962373 0.0013530041 0.000216755 0.00011177404 8.775214e-05 5.9759404e-05 0.00017501203 0.00030316165 0.00035366672 0.0016397245 0.00073230703 0.0017462807 0.002879084 0.0073821405 0.0043332293 0.00012102838 7.311584e-05 0.00021055262 0.00037900129 0.00031353175 8.0860606e-05 0.00013477862 0.0002306365 0.0001310047 0.00030624642 0.0014768875 0.00086957973 0.0020947296 0.0018263537 0.006438559 0.010349534 0.00022072584 0.0002758909 0.00036895936 0.00051601144 0.00027851624 0.0002476028 0.0001925362 0.00044374884 0.0004986185 0.0010524677 0.0032708838 0.0019320238 0.0026418185 0.0029945662 0.016721606 0.02711971 0.0007562305 0.0015069149 0.0009882781 0.0016147838 0.001293737 0.0038248643 0.0021510432 0.0009963838 0.0007930509 0.0015385502 0.003186479 0.001580884 0.0035556024 0.0036154275 0.01544244 0.023114385 0.0006945677 0.001902784 0.0011379884 0.0017432288 0.0015335949 0.005298503 0.0028858115 0.0014492229 0.0011866557 0.002262325 0.005476862 0.0039475006 0.0052041877 0.0047751404 0.0144085465 0.014529477 0.0006670344 0.0016289278 0.0019077722 0.0036168385 0.0025993863 0.0061611584 0.003487081 0.0012806102 0.0011153448 0.0016688986 0.0034961055 0.0027274047 0.0031441452 0.0032330132 0.010434497 0.012552264 0.00084522966 0.0014137152 0.0020019563 0.0031799485 0.002574938 0.0049146446 0.0031354488 0.001884702 0.0011180029 0.0015207636 0.0019935225 0.0023169979 0.00283698 0.0031706942 0.010390719 0.010234511 0.0007511767 0.0010865972 0.0009986154 0.0018010519 0.0014637607 0.0028763274 0.002163218 0.0017867766 0.0012576056 0.0014491901 0.001963495 0.0024445239 0.0024774391 0.0024112805 0.008990623 0.018161805 0.002283984 0.0018028568 0.0016570517 0.0049917973 0.0041673733 0.0033723535 0.003234326 0.010577841 0.0019784267 0.0020031377 0.0026445752 0.005712323 0.0026505478 0.0046379664 0.011446305 0.052997436 0.008310298 0.009085726 0.0053129424 0.018237349 0.017304959 0.007967133 0.008525379 0.04104247 0.0043536415 0.0047235196 0.0054861167 0.022882666 0.006601461 0.015025404 0.028948393 0.028994337 0.0060008154 0.008830674 0.0045132297 0.009870902 0.011849164 0.0054931724 0.006132739 0.022186557 0.0025317508 0.0034238757 0.0033693998 0.013737312 0.004735728 0.009006408 0.015315603 0.0017495952 0.0015396661 0.0015138064 0.0016146853 0.0015956187 0.0015590279 0.0015994911 0.0015550243 0.0015436697 0.0015114436 0.0015089824 0.0015586342 0.0015518739 0.0015622112 0.0015474765 0.0016921001 29035.0 23.852385 692554.0 0.017566862 0.0009313353 0.0021543447 0.002648169 0.015897678 0.0038379678 0.004502176 0.0012201215 0.0029874926 0.0015305666 0.00097465323 0.0066550765 0.0024344672 0.0026597204 0.005586568 0.0119254235 0.01240914 0.009734981 0.0074506826 0.0066391933 0.009196395 0.0063648466 0.0073351683 0.008569729 0.008649145 0.0075171036 0.006725829 0.01211891 0.012456791 0.014586588 0.015203146 0.016667292 0.02880353 0.029145742 0.014214054 0.017361823 0.016036294 0.010510372 0.009990557 0.008722786 0.008963922 0.012762903 0.009511172 0.0070954757 0.010865578 0.010422292 0.011811353 0.009648345 0.018339364 0.018681576 0.015227693 0.016340964 0.013610491 0.013255284 0.0140667735 0.013027143 0.009805733 0.010132062 0.0069308677 0.0042956937 0.0054710535 0.0045137275 0.0040271226 0.007587856 0.0030279227 0.018008703 0.010894457 0.013139769 0.013184532 0.024980001 0.009538607 0.011385393 0.010612891 0.01887073 0.008810866 0.011997621 0.019036783 0.0125506455 0.015971318 0.018167537 0.012488557 0.010211478 0.016479582 0.013120999 0.023413336 0.0102432445 0.005920116 0.016029075 0.00821741 0.0077178096 0.0076802676 0.0014266035 0.0025889678 0.0016114267 0.0033643586 0.0029918244 6.3384047 13.0 13.0 0.0 88.0 15237120.0 20713472.0 1.0 32.0 808.0 0.0 1.0 0.0 0.0 0.0 1466674600.0 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 8.0 0.0 4.0 0.0 4.0 0.0 6635520.0 4096.0 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 1679360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -503808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6635520.0 0.0 6414336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3535714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4131417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4818373 0.0 5.5109997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1679140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5977985.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6635356.0 0.0 6410316.0 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 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 -1.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 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 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 -1.0 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 -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 1.0 1.0 0.0 -1.0 -2.0 2.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 2.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -4.0 0.0 0.0 3.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 -3.0 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 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 -1.0 1.0 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 -3.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -3.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 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 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 -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 -2.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 -3.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 3.0 1.0 0.0 0.0 0.0 1.0 -2.0 -2.0 0.0 -1.0 -1.0 2.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -2.0 1.0 -1.0 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 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 4.0 1.0 1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -2.0 -2.0 0.0 0.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 1.0 1.0 2.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 2.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 -2.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 1.0 -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 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 1.0 0.0 0.0 -1.0 0.0 2.0 1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 -2.0 0.0 1.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 0.0 2.0 -1.0 1.0 1.0 -2.0 0.0 2.0 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 1.0 0.0 1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -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 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 1.0 -1.0 -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 -1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 2.0 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 -1.0 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 1124.0 8317632.0 480.0 8299620.0 6410316.0 14299136.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 6652400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 7883504.0 0.0 0.0 3324.0 6639616.0 64.0 8299484.0 0.0 0.0


Input: 0.26209906 0.023221552 0.051709823 0.057750355 0.018728646 0.02739174 0.011213673 0.017263802 0.0136886705 0.0010341485 0.0016172067 0.0009573672 0.01019752 0.00081700133 0.0014672432 0.00065983954 0.010184323 0.0012932855 0.004339345 0.0003791078 0.004156989 0.0013256776 0.0034263667 0.00040430168 0.0042025778 0.00036591102 0.00085179287 0.0005242725 0.007570159 0.00030352618 0.0043981303 0.00018355536 0.008252793 0.0001319679 0.0025673755 0.0008913832 0.0037802807 0.00039110487 0.0007150261 0.00020874923 0.0026081656 0.00030832502 0.0008325975 0.00051827397 0.0036399148 0.00054106844 0.0051419493 0.00020634981 0.0037310927 0.0012452971 0.0023094383 0.0020419033 0.0031108435 0.0010725391 0.0030076685 0.00093097356 0.00867749 0.0010989327 0.001763571 0.0012189036 0.0035187441 0.0015176309 0.0018247563 0.0012464968 0.006850334 0.0011697155 0.0028960956 0.0016388014 0.0108957505 0.0007702127 0.0017851659 0.0005686617 0.004742447 0.00045348972 0.0040298197 0.0012848875 0.0060309335 0.00093697215 0.0014456484 0.0002903294 0.005032776 0.0005578643 0.0016244049 0.001500835 0.004824027 0.00010077549 0.0010305494 8.9978115e-05 0.0030028697 0.00013316762 0.0014780406 8.637899e-05 0.0041713854 8.637899e-05 0.0022710478 0.0012524955 0.007044687 0.0024210112 0.0007306223 0.0008997812 0.0044149263 0.0024498042 0.001915934 0.000423497 0.006637986 0.002019109 0.0005866573 8.75787e-05 0.005053171 0.0012309006 0.0017491746 0.0018559486 0.0047268504 8.877841e-05 0.0026741496 0.0012165041 0.0043117516 0.000596255 0.0016148073 0.0005290713 0.004498906 0.00015116324 0.0018739443 0.00012476965 0.0012440975 4.7988327e-05 0.00035511365 0.0001739577 0.0039818315 6.3584535e-05 0.0017731688 3.7190955e-05 0.0013712666 9.237754e-05 0.00040070256 7.558162e-05 0.0017407767 0.00033711802 0.0008733876 9.357724e-05 0.0020694968 0.00035871277 0.00083139783 0.00022794456 0.0014780406 0.0001607609 0.003145635 3.8390663e-05 0.004082607 0.00012716907 0.0016304035 3.2392123e-05 0.004914005 0.00076901296 0.00094057125 0.000104374616 0.0010365479 0.0001463644 0.00044389206 4.678862e-05 0.0014984356 0.00091657706 0.006940312 5.398687e-05 0.0012512957 4.5588913e-05 0.0015188307 6.118512e-05 0.0015860143 8.517929e-05 0.00044269234 3.2392123e-05 0.007087876 2.6393582e-05 0.0016256047 5.998541e-05 0.002134281 0.0003335189 0.0013748656 0.0001019752 0.008300781 5.0387745e-05 0.0067915483 0.0004366938 0.010875355 0.00068983226 0.0011133292 6.118512e-05 0.0029248886 4.5588913e-05 0.00025913698 0.00028313114 0.0016687942 5.8785703e-05 0.0024162123 0.00021474778 0.001981918 7.31822e-05 0.00043189497 3.4791537e-05 0.0013676673 0.0042709615 0.002681348 0.00055066607 0.004995585 7.6781325e-05 0.002368224 6.4784246e-05 0.0016603962 5.2787163e-05 0.0013496717 0.00014276528 0.0012344997 2.7593289e-05 0.00027113405 2.5193873e-05 0.0023286336 0.00022914427 0.0010005566 2.6393582e-05 0.0017815668 3.359183e-05 0.0036999001 0.0001463644 0.0021402794 4.5588913e-05 0.001040147 0.00026633524 0.0018343539 2.5193873e-05 0.0018391528 3.959037e-05 0.0035019484 0.0012045071 0.0011529196 0.00010557433 0.0020323058 2.1594748e-05 0.0006298468 0.00022674486 0.0018931396 5.998541e-05 0.00038390662 7.0782786e-05 0.004783237 8.637899e-05 0.00035991246 0.00021354806 0.0016459997 0.00011877112 0.002071896 0.0006154503 0.0038762572 0.007039888 0.023946177 0.057468425 0.0061500617 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019011738 8.2881685e-05 2.2221902e-05 3.363315e-05 0.00021681369 2.5224861e-05 9.008879e-06 1.1411247e-05 8.408288e-06 1.0210063e-05 3.423374e-05 4.6846173e-05 4.0840252e-05 3.8437884e-05 3.663611e-05 5.1650906e-05 0.007982467 3.8437884e-05 1.861835e-05 6.966866e-05 0.00021921606 2.4023679e-05 1.26124305e-05 1.26124305e-05 9.609471e-06 1.26124305e-05 8.8287015e-05 1.4414207e-05 2.5224861e-05 2.4023679e-05 2.7026637e-05 3.1230782e-05 0.005463585 8.7085835e-05 1.6215983e-05 4.2041436e-05 0.0003045001 4.984913e-05 2.162131e-05 1.5014799e-05 1.6215983e-05 1.3213023e-05 1.6215983e-05 1.3813615e-05 1.7417166e-05 1.5615391e-05 1.861835e-05 3.9038478e-05 0.0031398947 8.22811e-05 4.0840252e-05 1.861835e-05 0.00012432253 3.5434925e-05 5.4053275e-05 2.162131e-05 1.4414207e-05 1.6215983e-05 1.4414207e-05 1.4414207e-05 1.5615391e-05 9.609471e-06 1.1411247e-05 7.687577e-05 0.015630405 0.0006756659 0.0003501451 0.00034594096 0.0004942872 0.00010330181 0.00031591137 0.00018558292 0.00016936693 8.2881685e-05 0.00010510359 0.00018558292 8.468347e-05 0.00018978705 0.00019218943 0.00056936115 0.016635196 0.0007387281 0.00033152674 0.0004996925 0.0008059944 0.00020600304 0.00046305638 0.00033933445 0.00027206814 8.648524e-05 0.000121920166 0.00031230782 0.00013333141 0.00022161842 0.00025765394 0.000715305 0.021200895 0.00057596766 0.0004324262 0.00030930486 0.00069128134 0.0005891807 0.0009231098 0.0008936808 0.0006918819 0.00029969538 0.00012552371 0.0003117072 0.00030750307 0.00015315095 0.00029549125 0.002949507 0.0076016923 0.0005363286 0.00020420126 0.0002312279 0.0005038966 0.00020660362 0.00039999423 0.00024384033 0.00022161842 0.00013152964 9.489353e-05 0.00027146755 0.00020360066 0.00014654444 9.489353e-05 0.0012077905 0.016919276 0.0012630449 0.0008612489 0.00063602685 0.0009885743 0.0008336216 0.0014149946 0.001189172 0.0005957872 0.00039639068 0.00027146755 0.00056275463 0.00048347653 0.00027026638 0.00029669242 0.002537501 0.0759947 0.006542248 0.0051170434 0.0040569985 0.006121834 0.0043663033 0.00668639 0.0040143565 0.0022702375 0.0032726254 0.003002359 0.0037128595 0.0026612228 0.0015663438 0.0023104772 0.0146754645 0.25471464 0.026770785 0.018970298 0.027704105 0.027741343 0.01675171 0.02371197 0.013892292 0.008008293 0.012494114 0.015476054 0.023172038 0.015179361 0.009032303 0.010016072 0.06586031 0.04495791 0.005532653 0.0035627114 0.003192146 0.0066905944 0.0038449897 0.00493086 0.0031098651 0.0018396131 0.0020936634 0.0033501019 0.006308618 0.00353088 0.0020846545 0.0020378085 0.01486405 0.004047389 0.0008894767 0.0006546452 0.0008402281 0.00087686424 0.00019819534 0.0005441363 0.00022702376 0.00013213023 0.00016936693 0.00051290554 0.0008420299 0.00054834044 0.00022942612 0.00047206527 0.0011158999 0.00029489063 0.00012011839 0.00016816574 0.00013693496 4.8047357e-05 2.2221902e-05 4.6846173e-05 7.387281e-05 7.8076955e-05 2.2822494e-05 2.8227822e-05 3.6035515e-05 3.2431966e-05 2.5825453e-05 4.564499e-05 4.984913e-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 2566.0 9.379969 24069.0 0.037683327 0.00029083053 0.0025759276 0.0011217749 0.0034068718 0.00037392497 0.003448419 0.0004570194 0.0044870996 0.00095558603 0.004528647 0.0012879638 0.0033237776 0.0024097387 0.008766463 0.0009971332 0.016701981 0.015912585 0.018322323 0.018239228 0.016494246 0.013959865 0.016369604 0.012422618 0.016161868 0.011550127 0.015912585 0.012671902 0.014832357 0.012173335 0.016037226 0.01105156 0.0031575887 0.021438364 0.0035730607 0.017117454 0.01179941 0.0019111721 0.009431219 0.0011217749 0.004404005 0.0024928332 0.003448419 0.00087249157 0.008434085 0.01599568 0.008018613 0.0027836636 0.007395405 0.0017449831 0.0059827995 0.042461257 0.015414018 0.00078939716 0.0046117413 0.0006232083 0.0035315135 0.0002492833 0.0026590219 0.0004154722 0.0037392497 0.0004154722 0.003199136 0.029830903 0.0036977024 0.043375295 0.0088495575 0.014998546 0.018862437 0.045078732 0.018779343 0.005359591 0.008724916 0.03689393 0.0023681915 0.0009971332 0.016078774 0.025676182 0.028127467 0.020939797 0.014458432 0.0015787943 0.034401096 0.025676182 0.02600856 0.007852424 0.0048194774 0.005691969 0.01134239 0.00066475547 0.008018613 0.00033237773 0.0034068718 0.00033237773 0.0023681915 0.0002492833 5.891324 1.0 0.0 0.0 1.0 833536.0 851968.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 921398800.0 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 -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 1.0 0.0 4.0 0.0 4.0 0.0 4.0 0.0 790528.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -786944.0 -512.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4829664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4581532 -2.5411203 5.136324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -790528.0 -4096.0 24576.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 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 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 823296.0 20656.0 798720.0 0.0 0.0 0.0 0.0 23888.0 827392.0 0.0 0.0 7.0 791020.0 0.0 0.0 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: 0.20036252 0.021852637 0.019246077 0.008257697 0.010271345 0.0039811335 0.013853442 0.0075878496 0.009039358 0.0074083344 0.013868829 0.0036241547 0.0028691653 0.0033974526 0.0031143317 0.00201057 0.0025552702 0.0053280103 0.004184242 0.0037441736 0.0020751953 0.0015366498 0.0038159795 0.0027347854 0.0027778689 0.0023788323 0.0021603368 0.0019131188 0.0018228482 0.0018690093 0.0013673927 0.0023983226 0.007070846 0.0017141134 0.0027235015 0.0014504825 0.0016351267 0.002060834 0.001344825 0.0017972032 0.0042191194 0.0016484621 0.0049156384 0.0016197397 0.006199941 0.0020177504 0.009134757 0.0017951516 0.008929597 0.003040474 0.0035882518 0.003551323 0.0029676422 0.004338112 0.0023993484 0.003529781 0.0020064667 0.0022824071 0.0024024257 0.0011427422 0.0019849248 0.0049043545 0.0025419348 0.0012791738 0.0008585954 0.0043822215 0.0026424632 0.006746693 0.00471971 0.0034590007 0.0032589696 0.0017541196 0.0013920119 0.0033677046 0.001561269 0.003370782 0.0031215122 0.0034487427 0.0036313355 0.0033553948 0.004466337 0.0018361837 0.0043832473 0.006287134 0.008533638 0.0030568868 0.003004571 0.0015058758 0.0021521305 0.0019285057 0.0018546481 0.001670004 0.0013437993 0.0014699728 0.0018433643 0.0054859836 0.0008596212 0.012345514 0.0052592815 0.009472246 0.0051659336 0.028112074 0.0048479354 0.0050202697 0.004467363 0.009671251 0.0017059069 0.0033553948 0.010211849 0.009408646 0.013822667 0.026003027 0.0070882845 0.001644359 0.014014493 0.011812098 0.018426463 0.009901031 0.0023490842 0.002803514 0.0039575403 0.0059106653 0.001721294 0.0054952158 0.0015366498 0.003066119 0.001349954 0.0014863856 0.0017438616 0.0015633206 0.0017192424 0.0016576943 0.0013817538 0.0013858571 0.0014515084 0.0012750706 0.0013294381 0.0013550831 0.0015992237 0.0015038241 0.0015366498 0.0018997834 0.0012309612 0.0011960838 0.00090065325 0.001278148 0.0016812878 0.0017007779 0.0016597459 0.0016310235 0.0016782103 0.0015181854 0.0010729878 0.0018197709 0.0017695066 0.0016997522 0.001479205 0.001545882 0.0012689157 0.0015746044 0.0011458197 0.0014638179 0.0021705949 0.0014925404 0.0014853597 0.0018751641 0.0017633518 0.001881319 0.0012812254 0.0017233456 0.0012278837 0.0013263606 0.0013212316 0.0016966747 0.0011417165 0.0012617352 0.001056575 0.0011242778 0.0011345359 0.0013489282 0.0017551454 0.0019510734 0.0014156053 0.0015089532 0.0012319869 0.0013335412 0.0016679523 0.0010637556 0.0020177504 0.0012032645 0.0013109737 0.0011930065 0.00077037653 0.0011427422 0.0011468454 0.0014976694 0.0014238117 0.0015776819 0.0012381418 0.0012740447 0.0007837119 0.0012760963 0.0015735787 0.0012330128 0.0012453224 0.0013643153 0.0014217601 0.0011930065 0.0010524718 0.0013725216 0.0015212628 0.0017038553 0.00169052 0.0014197085 0.0016361525 0.0012535288 0.0009909237 0.0011468454 0.0018074613 0.0013930377 0.0012196773 0.0011488971 0.0014966435 0.0011201747 0.0010216978 0.001458689 0.0017202682 0.001334567 0.0014720244 0.001303793 0.0012227547 0.0011314584 0.00093040144 0.0014320181 0.0015243402 0.0011109425 0.0011878775 0.0014135537 0.0013386703 0.00103093 0.001644359 0.0015961463 0.0010996587 0.00103093 0.0009940012 0.0011017103 0.0018905512 0.0009580981 0.00163923 0.0010473428 0.0011940323 0.0012227547 0.0012740447 0.001092478 0.0013027672 0.0036303096 0.0073591326 0.0 0.0 5.134398e-07 0.0 0.0 0.0 0.0 0.0 0.0 5.134398e-07 0.0 5.134398e-07 0.0 0.0 0.0 0.0010058286 2.567199e-06 5.647838e-06 2.567199e-06 7.701597e-06 3.0806389e-06 1.5403193e-05 5.647838e-06 1.0268795e-06 0.0 0.0 0.0 1.5403194e-06 0.0 0.0 5.134398e-07 0.0019572326 1.1295676e-05 1.2322555e-05 4.6209584e-06 7.701597e-06 2.567199e-06 1.4889754e-05 8.215036e-06 1.5403194e-06 1.2322555e-05 1.2322555e-05 3.0806389e-06 4.107518e-06 5.134398e-07 2.9779509e-05 2.0537593e-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 0.0024485944 0.00023002103 1.4889754e-05 0.00023207479 2.7212309e-05 1.6943513e-05 7.034125e-05 2.515855e-05 3.5940786e-06 0.0 3.2346707e-05 1.5403194e-06 1.5403194e-06 5.134398e-07 4.877678e-05 1.0268795e-06 0.0023761995 0.00020332217 8.728477e-06 0.00010679548 0.00014684378 4.107518e-06 2.053759e-06 5.647838e-06 7.1881573e-06 8.728477e-05 1.4889754e-05 1.7970393e-05 8.061005e-05 2.2077911e-05 2.8752629e-05 4.2102063e-05 0.019935327 0.0012548469 0.0004215341 0.00043539694 0.0025492287 0.0014263358 0.0084132245 0.0036613392 0.00014684378 0.0005283296 0.00029574134 0.00033578963 0.00038918736 0.00018432489 0.00022694039 0.0008050736 0.029801073 0.0019161573 0.0020106302 0.0012897608 0.004288763 0.0042877356 0.022166222 0.011258194 0.00039329487 0.00048828125 0.0005175473 0.0005935364 0.0005267892 0.0004153728 0.00039432177 0.00061972183 0.14086169 0.011877917 0.010600478 0.0060437 0.007882328 0.006244455 0.027756555 0.019621616 0.0022981565 0.0019957405 0.0021646621 0.0023171538 0.002351041 0.0023495005 0.003041104 0.0028567791 0.055134192 0.007769371 0.006521199 0.004562426 0.0033543021 0.0026555106 0.013640556 0.010550674 0.0016209295 0.0012486856 0.0014776797 0.00092829915 0.0011562664 0.0012384168 0.00080199295 0.0009041675 0.04567509 0.0046127434 0.011780363 0.015465833 0.011100569 0.011615035 0.040434923 0.0201253 0.0020491383 0.0020291142 0.001083358 0.00063974597 0.001083358 0.00048571406 0.0008564176 0.002361823 0.010159947 0.00072959793 0.0045696143 0.0070156413 0.005996977 0.006682419 0.018450974 0.007883355 0.00058378105 0.00018021736 0.00010217452 6.0072456e-05 0.0003506794 4.877678e-05 4.2615502e-05 0.000234642 0.0004877678 5.134398e-05 0.00015711258 0.00022077911 9.858044e-05 0.0001032014 0.00050368445 0.00028855316 1.8483834e-05 2.1564472e-05 2.2077911e-05 2.2591352e-05 1.43763145e-05 2.669887e-05 2.1051032e-05 4.5182704e-05 0.00036454227 6.6747176e-05 7.804285e-05 8.009661e-05 6.9827816e-05 6.161277e-05 3.7994545e-05 5.134398e-05 3.0806386e-05 2.9266068e-05 3.4400466e-05 3.3373588e-05 2.8239188e-05 2.772575e-05 2.9266068e-05 2.8239188e-05 0.00096167275 0.0005925095 0.0006890362 0.00080301985 0.0006628508 0.00069108995 0.0012014491 0.0018817568 0.001998821 0.0011501051 0.0007419205 0.000549894 0.00048160652 0.00041331904 0.0004220475 0.00042872224 0.0115755005 0.013382295 0.014520591 0.014679244 0.014923641 0.01707906 0.017163265 0.01728649 0.014699781 0.016531734 0.017782988 0.016834665 0.0137108965 0.01678332 0.014710564 0.014392745 10456.0 23.212988 242715.0 0.015413139 0.00025132357 0.0038481345 0.00039964568 0.00042436604 0.00040376573 0.00047380672 0.0003296047 0.00039552563 0.0004161259 0.00051912735 0.0003254846 0.015977588 0.0005479678 0.027089385 0.0021547906 0.022825124 0.0067321756 0.009002328 0.0070988606 0.0048987498 0.0114043215 0.0044702636 0.008689203 0.0026327174 0.0047957483 0.003876975 0.00028016398 0.0024102342 0.014683888 0.002319593 0.00022248316 0.00021012298 0.012726861 0.004350782 0.019891642 0.011643285 0.0076097483 0.005566199 0.0017839853 0.0010629751 0.0046597864 0.0005150073 0.006048246 0.007667429 0.004021177 0.00633665 0.0066621345 0.012590899 0.00036256516 0.011346641 0.01833838 0.017831612 0.0065220525 0.0065838536 0.0011618565 0.0037698536 0.0024061142 0.0005726881 0.00048204683 0.0004078858 0.00044908636 0.0003666852 0.016064107 0.00016068228 0.039931607 0.014440805 0.030171188 0.013567353 0.0986342 0.011775128 0.0135632325 0.010642111 0.025787447 0.0010547349 0.006464372 0.03380096 0.028481964 0.046997506 0.04291041 0.011017037 0.0010876955 0.034435447 0.033360112 0.05767258 0.03095812 0.004779268 0.0057392414 0.006695095 0.017052922 0.0015450219 0.0005356076 0.0003584451 0.0003666852 0.00025544362 0.00043260615 5.5339084 0.0 20.0 0.0 8.0 974848.0 991232.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1218136700.0 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 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 -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 962560.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -962560.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6732554 0.0 3.2587864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -958628.0 0.0 3432.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 87.0 966724.0 3432.0 974848.0 0.0 0.0 0.0 0.0 12.0 983040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.0060803494 0.003939919 0.0038611328 0.0039083245 0.0038851285 0.0039329203 0.003917923 0.003900326 0.0039567165 0.0038955268 0.0039045252 0.003883329 0.0039341203 0.003883529 0.0038305381 0.003983312 0.0039025256 0.003866732 0.0038493348 0.0038845288 0.0039023256 0.00393532 0.0038607328 0.003911124 0.0038803294 0.003906125 0.003894527 0.003866532 0.0038617328 0.0038989263 0.00387633 0.0038911276 0.003888328 0.0039053252 0.003906325 0.0038619325 0.0039017259 0.003900526 0.003888128 0.0038683317 0.0038795297 0.0038741305 0.003883729 0.0039007259 0.0038897279 0.0038395366 0.003941319 0.0039055252 0.0038613328 0.0039345203 0.0038509346 0.003969314 0.0038897279 0.0039201225 0.0039377194 0.0038731308 0.0038491348 0.0038787297 0.0039143236 0.003916923 0.0039253216 0.0038569334 0.003859533 0.003854934 0.004040302 0.0038825292 0.0038939272 0.003907525 0.0039223223 0.0040155062 0.003911524 0.0039091245 0.0038211397 0.003888928 0.0038609328 0.003883529 0.0038931272 0.0038515346 0.003894727 0.0038355372 0.0039887107 0.0038261388 0.00393572 0.0039447183 0.0038913277 0.0038793297 0.003923722 0.003922922 0.0038901279 0.0038923274 0.003865532 0.003923922 0.003918923 0.0038969265 0.0038865283 0.0038353372 0.003831738 0.0038921274 0.0038985263 0.00387693 0.0039249216 0.0039389194 0.0039459183 0.003865732 0.0039215223 0.0039345203 0.003960516 0.0038795297 0.0039305207 0.0038565337 0.0039503174 0.003953517 0.0038661319 0.003843736 0.003888328 0.0038865283 0.003922522 0.003983712 0.003900126 0.0038925274 0.0038857285 0.0038857285 0.0038299381 0.003848535 0.003860133 0.003894327 0.0038681317 0.0038869283 0.0039249216 0.0039019256 0.0038783299 0.00393572 0.0038775299 0.0039671143 0.0039049252 0.003865732 0.0038591332 0.003905925 0.0038495348 0.0039769127 0.003855334 0.0039423187 0.0038823292 0.003895327 0.0038389366 0.003894527 0.003894327 0.0038983263 0.0038969265 0.003924722 0.00387633 0.003883529 0.0038587332 0.0038503346 0.0039091245 0.0038093417 0.003843336 0.0039131236 0.0038671317 0.0038639323 0.003910724 0.0038559337 0.0038973265 0.0039131236 0.0039057252 0.0038463355 0.0038963268 0.003855334 0.0038929272 0.0039043254 0.0039019256 0.0038519343 0.0038675317 0.0038725308 0.0039131236 0.0039317207 0.0038501348 0.003916923 0.0039049252 0.0038505346 0.0038873283 0.003824539 0.0038617328 0.003864932 0.0038961268 0.003836137 0.0038685314 0.003900326 0.003864532 0.003915923 0.003915523 0.0039331205 0.003929921 0.00387613 0.0039323205 0.0038973265 0.003941119 0.0038901279 0.003888128 0.003929921 0.0038615328 0.0038707312 0.003888128 0.0038925274 0.003864932 0.0038495348 0.0038575334 0.0038499348 0.0038897279 0.0038843288 0.0038749303 0.0038841288 0.0038733308 0.0038613328 0.003864532 0.003906125 0.0039227223 0.003843136 0.0038497348 0.003871731 0.0038743305 0.003899326 0.0038615328 0.0038965268 0.0039263214 0.0038615328 0.0038975265 0.0038733308 0.0038729308 0.003847935 0.0038931272 0.0038867283 0.0039231223 0.0039367196 0.0038687314 0.00393492 0.003917923 0.0038617328 0.0038851285 0.0038977265 0.0038847288 0.0038811294 0.0039081248 0.0039037254 0.003888728 0.0038793297 0.0038929272 0.003906725 0.003961915 0.003900126 0.0038815292 0.0038971265 0.003958116 0.0038795297 0.003948718 0.0051583084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014892478 2.3003827e-06 1.400233e-06 1.700283e-06 7.101182e-06 2.800466e-06 1.2502081e-05 3.7006157e-06 3.7006157e-06 7.001165e-07 3.0004992e-07 7.001165e-07 3.0004992e-07 8.201365e-06 5.2008654e-06 5.300882e-06 0.00025694276 6.9011485e-06 1.0901814e-05 1.2102014e-05 7.201198e-06 8.301381e-06 1.2702114e-05 7.101182e-06 8.601432e-06 1.400233e-06 1.8002995e-06 1.2001997e-06 3.600599e-06 2.0003329e-06 1.1601931e-05 5.7309535e-05 0.0006279045 2.0703445e-05 2.6004327e-05 1.6202695e-05 6.811133e-05 4.8408056e-05 0.0002121353 0.00010611766 2.2403729e-05 2.7504577e-05 9.301548e-06 9.7016145e-06 1.19019805e-05 2.5504243e-05 4.650774e-05 0.00015542586 0.0001190198 1.9003162e-05 2.0503412e-05 1.370228e-05 2.560426e-05 1.9803296e-05 7.371227e-05 4.3307205e-05 1.02016975e-05 1.7102846e-05 7.6012648e-06 9.201531e-06 9.801631e-06 1.0601764e-05 2.2403729e-05 0.0001929321 0.00027024496 8.001331e-05 8.6714426e-05 5.220869e-05 5.6409386e-05 4.140689e-05 7.021168e-05 5.8309703e-05 5.190864e-05 4.280712e-05 3.6005993e-05 3.6306043e-05 4.260709e-05 5.2308704e-05 7.241205e-05 0.00058879796 0.00026244367 4.5207522e-05 6.651107e-05 4.5207522e-05 3.5905974e-05 2.0703445e-05 6.501082e-05 3.780629e-05 3.180529e-05 2.8804792e-05 1.9303212e-05 2.2203694e-05 2.9004827e-05 4.1606923e-05 5.5509237e-05 0.00021713613 0.00041076835 7.481245e-05 3.9106508e-05 6.291047e-05 0.00014852472 0.00010901814 7.5512566e-05 0.00010101681 0.0001953325 9.001498e-06 1.5802629e-05 2.3703944e-05 7.921318e-05 3.070511e-05 7.6312695e-05 0.00018693111 0.0007230203 0.00016332717 9.101514e-05 0.00013452239 0.00029194859 0.0002458409 0.00015482576 0.0001790298 0.00035955984 2.2603761e-05 5.420902e-05 5.3508906e-05 0.00013972326 5.7709603e-05 0.00019203195 0.00041446896 0.061806686 0.06177908 0.0618985 0.06195691 0.06177598 0.061931606 0.0618889 0.06160935 0.061741672 0.061880097 0.06207803 0.061939005 0.061910503 0.06183849 0.061808184 0.061915305 23076.0 5.692711 131365.0 0.010177749 0.010482244 0.010094013 0.009819968 0.010459407 0.0102158105 0.010383283 0.010383283 0.010733453 0.010444182 0.00995699 0.010413732 0.010360446 0.009903704 0.010139687 0.0100864 0.009896091 0.010451795 0.0101473 0.010299547 0.010322385 0.010269098 0.0100635635 0.010231036 0.010375671 0.0100635635 0.010078788 0.0100635635 0.010231036 0.0106268795 0.010588817 0.009690557 0.010413732 0.010307159 0.010604043 0.01027671 0.010489857 0.010733453 0.010535531 0.010703003 0.010451795 0.010672553 0.010619267 0.010733453 0.010467019 0.010573593 0.010398508 0.010375671 0.010680166 0.0100635635 0.009918928 0.0109313745 0.010703003 0.010071176 0.0100407265 0.011068397 0.010870475 0.0099341525 0.009979827 0.010809576 0.010154912 0.01011685 0.0100635635 0.009789518 0.009827579 0.0109542115 0.010291935 0.010779127 0.010573593 0.013275987 0.010314772 0.010071176 0.010185362 0.011624101 0.010543143 0.010223423 0.01155559 0.010451795 0.011182583 0.011890534 0.0101473 0.009903704 0.011449016 0.0112358695 0.011639326 0.010581205 0.010162524 0.010444182 0.00998744 0.010383283 0.009393674 0.010368058 0.009804742 0.009721006 0.010010277 0.01001789 6.583143 0.0 0.0 0.0 68.0 5000864.0 1863680.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1252502700.0 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 -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 0.0 0.0 6.0 1.0 9.0 0.0 5.0 0.0 5.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 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 6656.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -25600.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0281763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4298774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4933524 0.0 5.4574714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1380352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -419484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25506.0 0.0 17904.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 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 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 -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 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 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 2.0 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 -1.0 0.0 0.0 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 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 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 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 -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 -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 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 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 -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 -2.0 -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 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 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 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 -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 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 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 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 -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 -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 -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 0.0 0.0 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 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 0.0 0.0 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 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 35352.0 17904.0 1843200.0 0.0 0.0 4520.0 29819320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.05669381 0.008300066 0.0061673024 0.005650426 0.005755044 0.0049657454 0.0042002704 0.005424616 0.005050683 0.005629709 0.0037465792 0.00446337 0.0049522794 0.0031706605 0.0043307845 0.0046436037 0.0050341096 0.003760045 0.0049284557 0.0041588377 0.004359788 0.0031820545 0.0041111894 0.0038418751 0.005080722 0.003344679 0.0031592664 0.0029324207 0.0041546943 0.003438939 0.0037817971 0.0037911197 0.006171446 0.003825302 0.0034865872 0.00301943 0.004884951 0.0041702315 0.0038408393 0.0037227552 0.004725434 0.0038967738 0.0033343208 0.0030950452 0.004363931 0.0037206835 0.003718612 0.0035849905 0.0055199116 0.003953744 0.0031043678 0.0028940951 0.0036771789 0.003073293 0.0026900377 0.0028568055 0.004181626 0.0033084252 0.00352802 0.0033540016 0.0039941412 0.0032276309 0.0035124826 0.0034534407 0.006593026 0.003955816 0.003617101 0.0032286667 0.0041536586 0.003221416 0.0035414859 0.0030753645 0.0049937125 0.0037745466 0.0037072178 0.0035787756 0.0041277627 0.0031292276 0.0035611666 0.003463799 0.005157373 0.0036264234 0.0036606058 0.003333285 0.003922669 0.0033798972 0.0033633239 0.0035373424 0.0046394602 0.0036440324 0.0038035496 0.0035093753 0.0041060103 0.0033902554 0.0036875373 0.0037869764 0.005914561 0.0036274593 0.0033395 0.0029448506 0.004009679 0.0030618988 0.0032690638 0.0030401465 0.004975068 0.0031748037 0.0032079502 0.0030494689 0.0035829188 0.0028402323 0.0030950452 0.0031872336 0.0045058387 0.0032804578 0.003221416 0.0031385499 0.003895738 0.003338464 0.0032908162 0.0036253876 0.004618744 0.003291852 0.0034762288 0.0031603023 0.0040386817 0.003192413 0.0034731214 0.003338464 0.008644996 0.0045949197 0.004013822 0.0035249125 0.0043670386 0.0034379032 0.0030163226 0.0033902554 0.004535878 0.0038294452 0.0029676387 0.003191377 0.003730006 0.0027987992 0.0028516264 0.002977997 0.0052360957 0.0032017352 0.0035000527 0.003030824 0.0036574982 0.003179983 0.0033136043 0.0032659564 0.0045493436 0.0028381606 0.0030453256 0.0027014317 0.0035145544 0.003231774 0.002990427 0.003149944 0.005007178 0.003409936 0.0032742429 0.0027915484 0.003776618 0.0030204658 0.0030567197 0.0031830904 0.0041370853 0.002995606 0.0031240482 0.003013215 0.0036461041 0.0028433397 0.0029096326 0.0030411824 0.004667428 0.0031230126 0.0038387675 0.0028578413 0.0035684174 0.0031478724 0.0029945702 0.0031219767 0.004253098 0.003142693 0.0033363926 0.0031789471 0.0036492117 0.0031882694 0.0033239627 0.0033612524 0.0067214686 0.0040656133 0.003730006 0.003338464 0.0041101538 0.0032545624 0.0033001385 0.0032234876 0.00433182 0.0033322491 0.0031157618 0.0030753645 0.0036398892 0.0029945702 0.003079508 0.002794656 0.00424999 0.0032700996 0.0030919379 0.0029976778 0.0037072178 0.0030173582 0.0029396715 0.0029479582 0.0039775684 0.0031126542 0.0027376856 0.0026403181 0.003535271 0.0029500297 0.0035767038 0.0028847728 0.0049522794 0.003239025 0.003392327 0.002977997 0.0038221944 0.0030722572 0.0031965561 0.0029085968 0.004440582 0.0054556904 0.0034710497 0.0031344066 0.003782833 0.0030691496 0.0032452398 0.003192413 0.004613565 0.0033167119 0.0034265092 0.0030453256 0.0037434718 0.0030888303 0.0033125684 0.003237989 0.004351501 0.0030318599 0.003186198 0.0028640563 0.0040179654 0.0030940094 0.004219951 0.0045161974 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.0992119 0.062013794 0.062441364 0.055309657 0.06060084 0.059536066 0.054969262 0.054453477 0.06046489 0.053186335 0.05212571 0.0529658 0.056418538 0.05055086 0.056654118 0.053837027 4021.0 5.7050486 22940.0 0.017262423 0.010462075 0.009415868 0.008674804 0.01342633 0.012467306 0.011857018 0.011508282 0.01255449 0.009721011 0.008456844 0.008631212 0.013862249 0.010549259 0.011769834 0.00989538 0.016782911 0.011857018 0.008718396 0.0074978205 0.009808196 0.008500436 0.007846557 0.008326068 0.010287707 0.008413252 0.009590236 0.008892763 0.011508282 0.008979947 0.009677419 0.0091979075 0.018003488 0.010897995 0.010331299 0.009067131 0.010810811 0.008892763 0.010680035 0.008326068 0.014210985 0.011595466 0.009764603 0.008979947 0.011421098 0.009372275 0.011639059 0.009590236 0.014777681 0.009633827 0.009938971 0.0092415 0.0121185705 0.009328684 0.009633827 0.009764603 0.013687882 0.009285091 0.010505667 0.009546643 0.011115954 0.009808196 0.010374891 0.010680035 0.017959895 0.010985179 0.009721011 0.008195292 0.013077593 0.008282476 0.009372275 0.00836966 0.015431561 0.009285091 0.008892763 0.008718396 0.0113339145 0.007977332 0.009938971 0.007846557 0.01320837 0.0079337405 0.008718396 0.0088055795 0.011508282 0.009459459 0.008326068 0.0079337405 0.010941586 0.008892763 0.01190061 0.008544028 0.011290323 0.00902354 0.009938971 0.008761988 6.5546875 0.0 0.0 0.0 14.0 965414.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.0566944 0.00829808 0.0061735814 0.0056629144 0.00575096 0.0049606175 0.004200314 0.0054226 0.005046592 0.005624588 0.003752833 0.004472739 0.0049554384 0.0031696574 0.0043235784 0.004637437 0.0050341617 0.0037683705 0.004927471 0.0041640596 0.004352582 0.0031748367 0.0041029453 0.0038460582 0.005072488 0.0033571438 0.0031613708 0.0029303795 0.004154737 0.0034379389 0.0037880514 0.0037901232 0.0061684023 0.0038139473 0.0034824798 0.0030298196 0.004906754 0.0041723466 0.003847094 0.0037176146 0.004724447 0.0038905991 0.003330212 0.0030950774 0.0043712268 0.0037259012 0.0037248654 0.0035839917 0.0055168616 0.003950678 0.0031075072 0.0029024119 0.003678253 0.0030681456 0.002687994 0.0028609785 0.0041661314 0.0033084594 0.0035218417 0.0033571438 0.0040097204 0.0032307717 0.0035073399 0.0034545122 0.0066013816 0.00394757 0.00361921 0.0032183419 0.0041588806 0.0032245568 0.003550845 0.0030629663 0.005001015 0.0037808006 0.003702077 0.003589171 0.0041298773 0.0031251165 0.0035580958 0.0034669423 0.005166749 0.0036285326 0.0036596078 0.0033436778 0.003923746 0.0033726813 0.0033571438 0.0035342716 0.004647795 0.0036430345 0.0038077324 0.003501125 0.0041164113 0.003387183 0.0036875755 0.0037849438 0.0059146225 0.0036368193 0.0033436778 0.0029573112 0.0040097204 0.003046393 0.0032659902 0.0030370704 0.0049740835 0.0031634425 0.00320384 0.003046393 0.0035808843 0.0028288674 0.0030795399 0.0031955533 0.0045048497 0.003291886 0.0032307717 0.0031468691 0.0038905991 0.0033384988 0.0032939578 0.0036274968 0.004622935 0.003292922 0.003480408 0.0031748367 0.0040397597 0.0031862308 0.0034731573 0.003342642 0.0086399065 0.0045939316 0.004013864 0.0035228776 0.0043681194 0.0034400106 0.0030225688 0.003386147 0.0045369607 0.0038450223 0.0029593827 0.0031945175 0.003727973 0.0028019357 0.0028433693 0.0029863145 0.0052278633 0.0032028041 0.003500089 0.0030318913 0.0036606437 0.003177944 0.0033126029 0.003260811 0.004541104 0.0028412975 0.0030443214 0.0027087105 0.0035208059 0.0032266285 0.0029821713 0.0031510124 0.0050113737 0.003412043 0.0032701336 0.0027967566 0.0037735498 0.0030132462 0.0030557155 0.0031831234 0.0041412716 0.0029997805 0.0031209732 0.0030122104 0.0036440704 0.0028361185 0.0029179493 0.0030329272 0.004663333 0.0031116507 0.003840879 0.0028609785 0.003564311 0.0031551558 0.0029883862 0.0031178656 0.0042479625 0.0031437615 0.003337463 0.00317898 0.0036513212 0.003192446 0.0033333194 0.0033457496 0.006717395 0.004062548 0.003726937 0.0033395346 0.0041112322 0.0032535603 0.0033012086 0.0032245568 0.0043297936 0.0033322836 0.003109579 0.003084719 0.0036471777 0.0029883862 0.003084719 0.0027905416 0.004243819 0.0032773844 0.0030878265 0.0029946011 0.0037113996 0.0030267122 0.0029365944 0.0029479887 0.0039838245 0.0031116507 0.0027232124 0.0026362021 0.0035239132 0.002945917 0.0035725976 0.0028889459 0.004959582 0.0032266285 0.0033985772 0.0029666338 0.0038191264 0.0030753964 0.00320384 0.0029117344 0.004445807 0.0054536755 0.0034638348 0.0031334031 0.0037890873 0.003084719 0.003247345 0.0031965892 0.004610505 0.0033208895 0.0034172223 0.0030422497 0.003727973 0.0030878265 0.0033136387 0.0032411302 0.004346367 0.0030298196 0.0031934816 0.0028640858 0.0040066126 0.003090934 0.00422621 0.004516244 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922591 0.062012237 0.06246627 0.05532678 0.060595132 0.059564605 0.054943834 0.05448513 0.060476825 0.053156756 0.052116368 0.052941933 0.056414906 0.050534256 0.056668125 0.053810567 4026.0 5.703428 22962.0 0.017202334 0.010452052 0.009319746 0.008710043 0.013457016 0.0124989115 0.011889208 0.011453706 0.012586012 0.009711698 0.008448741 0.0086229425 0.013892518 0.010539152 0.011802108 0.010016549 0.016723283 0.011932759 0.008710043 0.007534187 0.009798798 0.008492292 0.007839038 0.008318091 0.010364951 0.008492292 0.009624598 0.008884244 0.011584356 0.009014894 0.009668147 0.009189095 0.018029789 0.010974654 0.010364951 0.009101994 0.010887553 0.008797143 0.010669802 0.00827454 0.014197369 0.011584356 0.009711698 0.008927794 0.011410156 0.0093632955 0.011715007 0.009537497 0.014763522 0.009581047 0.009972999 0.009101994 0.012019859 0.0093632955 0.009581047 0.009755248 0.013674767 0.009232645 0.010495601 0.009493946 0.011105305 0.009798798 0.010408501 0.010669802 0.017986238 0.010974654 0.009711698 0.00818744 0.013108614 0.008230991 0.0093632955 0.008361641 0.015460325 0.009276195 0.008927794 0.008710043 0.011366606 0.008013239 0.009885899 0.007839038 0.0132392645 0.00805679 0.008710043 0.008840693 0.011497256 0.009537497 0.008230991 0.007882589 0.010887553 0.008927794 0.011976309 0.008492292 0.011366606 0.008927794 0.009972999 0.008710043 6.5545125 0.0 0.0 0.0 14.0 965404.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0