Input: 0.17475006 0.013143803 0.006353726 0.0068554957 0.008611015 0.003925134 0.0038556685 0.0029155246 0.01133433 0.0014432622 0.0016880773 0.0020367533 0.0072857765 0.0019922415 0.0017953103 0.006605285 0.006323377 0.0018627525 0.0010096092 0.0012193543 0.0030524323 0.0054479777 0.0012915174 0.0008619108 0.002547965 0.0013414246 0.00075939874 0.0009172134 0.0022849403 0.0008598876 0.0007803058 0.00084437587 0.005199116 0.0014021226 0.0011849587 0.0006676774 0.0027523146 0.000817399 0.0008706783 0.0005746072 0.0016321003 0.00069465424 0.0006015841 0.0029094547 0.001380541 0.00068184023 0.0014297739 0.0006717239 0.0017636125 0.0013232152 0.00061911903 0.0073896376 0.0016037746 0.0012773545 0.00070342177 0.00058202585 0.0018324035 0.005017697 0.0005961887 0.0053083724 0.0014614717 0.0015066579 0.00072028226 0.0010325395 0.0102444645 0.0028979897 0.0025284067 0.0024515225 0.0025560579 0.015442232 0.0043803686 0.0031724793 0.003443597 0.001759566 0.0016752633 0.0017433799 0.0024097085 0.009261832 0.0021028465 0.0018364501 0.01159061 0.0108507695 0.0026976864 0.0049664406 0.005108069 0.0057110023 0.009731904 0.0051127905 0.0017690079 0.0034746202 0.0008706783 0.0018034034 0.0012948895 0.0046508117 0.0037201096 0.0026012443 0.0015336347 0.0015680302 0.001965939 0.0010352372 0.0019693112 0.002877757 0.0020832883 0.0006717239 0.0044666943 0.0012955639 0.006943845 0.00057190954 0.0021500562 0.00075400335 0.0013400757 0.001686054 0.002788059 0.0006359796 0.001655705 0.0025843836 0.012586056 0.015977047 0.002202661 0.0013501921 0.0020988001 0.0012888197 0.00047074628 0.00062384 0.0016111933 0.0047034165 0.0018364501 0.0011337027 0.0026700352 0.0025122205 0.0011579819 0.011250702 0.0032163167 0.010425883 0.0026875702 0.0008700039 0.0019753808 0.015888698 0.0009077715 0.046726625 0.0015012625 0.014311901 0.0025432438 0.00060563063 0.003653342 0.00045523458 0.00091316685 0.0012072147 0.0016995425 0.00078705 0.0005307698 0.0004269089 0.0013832387 0.0009637485 0.0005462815 0.0004336531 0.0013751456 0.00058472354 0.0010676094 0.0006177702 0.0014385413 0.0012733081 0.00047209513 0.000654189 0.001334006 0.0037855285 0.0005429094 0.00040128085 0.0014459599 0.0005671886 0.00044174615 0.00044849038 0.0012449824 0.00036755978 0.00043904848 0.0005341419 0.0015316115 0.00050042087 0.00082684093 0.0011431447 0.0014014482 0.0013130989 0.0015646581 0.0008706783 0.0034301083 0.00086865504 0.00051390927 0.0012746569 0.0016813331 0.0009138413 0.0023092197 0.00080930593 0.009862741 0.003071316 0.0047216257 0.0037889006 0.0019814507 0.0008666318 0.003115828 0.003631086 0.004592811 0.002797501 0.00088079466 0.0020900327 0.0028379662 0.00088619 0.0038361102 0.0020758698 0.0023247313 0.001308378 0.001561286 0.0015316115 0.002677454 0.0020401254 0.0024589412 0.0019308691 0.0032014793 0.0013360293 0.00057258393 0.00151003 0.0025263834 0.0013184942 0.0006245144 0.000705445 0.0033201776 0.00065486337 0.00059753755 0.00051390927 0.0032257587 0.00052942097 0.0005341419 0.0004923278 0.023500895 0.0039055755 0.00051997905 0.00505479 0.007897477 0.00051660696 0.0007641197 0.0010642373 0.0053697447 0.0030335484 0.0016880773 0.0015848908 0.0029566644 0.0011431447 0.0032540844 0.0028332453 0.0046184394 0.0020198927 0.0015848908 0.0023328243 0.0074665216 0.003492155 0.0041254372 0.07597427 0.000691085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006360817 2.024663e-06 3.3744384e-06 5.7365455e-06 7.0863207e-06 6.748877e-06 1.7209637e-05 9.110984e-06 1.6872192e-06 3.3744385e-07 6.748877e-07 3.3744385e-07 0.0 0.0 3.3744385e-07 3.3744385e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035202142 0.00014746297 0.00013295287 4.8591915e-05 9.245962e-05 0.00022305039 0.00017648314 0.00011574324 3.138228e-05 4.0155817e-05 3.2057167e-05 1.754708e-05 2.800784e-05 2.4970845e-05 2.2946182e-05 0.00018356946 0.023145273 0.00089355133 0.0008942262 0.0003840111 0.0005611691 0.0024302707 0.00067994936 0.00045824875 0.00033879362 0.000862169 0.0002925638 0.00019301788 0.00021258963 0.00015286206 0.00018829366 0.0028672605 0.012829278 0.00036545168 0.00035667815 0.00021798872 0.000615835 0.0020047538 0.00037827456 0.00021765128 0.00031213555 0.0005183137 0.00035262882 0.00026894273 0.0003171972 0.0002578071 0.0002540952 0.0014655186 0.004208262 0.00024430934 0.0002193385 0.00018188223 0.0012043371 0.0007734213 0.0027474677 0.0014246879 0.0001069697 0.00011203136 5.77029e-05 7.187554e-05 7.491253e-05 8.908517e-05 8.3348634e-05 0.00014881273 0.009414346 0.00054800883 0.0005368732 0.00050380366 0.0032975012 0.0011284122 0.001499263 0.00095361634 0.00054632156 0.00024262213 0.00020887774 0.00042382948 0.00036039003 0.0003377813 0.00050751556 0.00091447285 0.026895287 0.0021204972 0.001418614 0.0016085948 0.012323449 0.0031591493 0.004770781 0.003175684 0.002668506 0.0009866859 0.0008024415 0.0012579907 0.0014223258 0.0016393022 0.0011263876 0.002350634 0.01511681 0.002013865 0.0010700345 0.0014037665 0.0081593925 0.0022217303 0.003013711 0.0023975386 0.0035320248 0.00082201324 0.00073765224 0.0015873358 0.0012839738 0.0013700221 0.0014969009 0.00491352 0.07312915 0.009487234 0.0068248017 0.011533156 0.016083587 0.025614012 0.007923519 0.016955204 0.048547372 0.005837104 0.004850418 0.008217095 0.019118557 0.00823093 0.021555237 0.051959943 0.081984006 0.01484348 0.01026403 0.015731296 0.024695829 0.037636124 0.011019229 0.027076157 0.061440088 0.006709396 0.0074777557 0.008402689 0.026398906 0.014985544 0.026687084 0.057267595 0.002766702 0.0007491253 0.0017324367 0.0011240254 0.00089760066 0.0007987296 0.00062190904 0.0007487879 0.0018076868 0.0005247252 0.0005871523 0.0005129147 0.0018532416 0.00054767134 0.0012060243 0.0014894771 2954.0 12.631009 37312.0 0.011658448 0.0011256433 0.0011792453 0.0006432247 0.003591338 0.0032965266 0.000884434 0.0015544597 0.0023584906 0.0007236278 0.000911235 0.0022244854 0.0015008576 0.0013668524 0.01275729 0.00077722984 0.0024656947 0.0022780874 0.001983276 0.0020904802 0.001876072 0.0007236278 0.0006700257 0.0015008576 0.0012864494 0.009701973 0.0014740566 0.0022244854 0.0021440822 0.0013132504 0.0008308319 0.012408877 0.029025514 0.026613422 0.01248928 0.038968697 0.012328474 0.013936535 0.017474271 0.008495926 0.008495926 0.012864494 0.00085763296 0.001849271 0.008871141 0.018626716 0.0057890224 0.009916381 0.023236493 0.0049849916 0.012087264 0.021172812 0.016241424 0.0059230276 0.019886363 0.015517795 0.0034841339 0.0019296741 0.0011792453 0.0022512865 0.0045293737 0.0030017153 0.0041541597 0.012730489 0.0020100772 0.03677101 0.009594768 0.0181979 0.01771548 0.06357204 0.0047437823 0.009916381 0.012033662 0.029561535 0.005226201 0.004582976 0.030365566 0.013132504 0.032482848 0.046794597 0.015249786 0.0007236278 0.03872749 0.022084048 0.06290202 0.01980596 0.004556175 0.0057890224 0.0085227275 0.007316681 0.0011256433 0.00080403086 0.000938036 0.0013400514 0.001876072 0.0010988422 5.729349 1.0 0.0 0.0 4.0 1482752.0 1597440.0 1.0 0.0 551.0 0.0 1.0 0.0 0.0 0.0 1353933800.0 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 10.0 0.0 5.0 1.0 5.0 1.0 1160704.0 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 276992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160704.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.183046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7826314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.55891 0.0 4.116297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 276484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -144032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160698.0 0.0 1288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -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 0.0 1.0 0.0 1.0 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 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 2.0 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 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 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 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 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 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -3.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 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 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 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 1.0 1.0 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 -1.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 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 -3.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 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 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 1431572.0 1288.0 1593344.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 1170608.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1348472.0 0.0 0.0 2268.0 1167360.0 0.0 0.0 0.0 0.0


Input: 0.27287224 0.015970832 0.010626499 0.0064695207 0.03737698 0.003511014 0.003367329 0.002107514 0.018459173 0.0011667699 0.005980828 0.005317572 0.008206912 0.013160538 0.0012956333 0.0006093223 0.0064201164 0.0012227617 0.0022878405 0.0012565214 0.006017881 0.0029737398 0.0006591385 0.0004158213 0.0041170428 0.0016089402 0.0023034853 0.01049887 0.010704722 0.00087116624 0.003218704 0.00037382747 0.008348127 0.00040182334 0.00081682124 0.006246377 0.008584034 0.0039622416 0.0004067638 0.0040351134 0.004509397 0.0017719751 0.005976711 0.00096091774 0.0042660795 0.0006397884 0.00081682124 0.00407052 0.004867991 0.0037436269 0.0026390243 0.00081887975 0.0050606686 0.0033113374 0.003318748 0.00025525663 0.0036061176 0.0003478901 0.003424556 0.00051174837 0.005477725 0.001529893 0.0010572565 0.00049692707 0.010158802 0.0034076762 0.0024854585 0.006676196 0.0055814744 0.003487135 0.004038407 0.0013973243 0.0057762107 0.001982356 0.0011939424 0.0018674905 0.005757684 0.0026600212 0.0032804594 0.0013413324 0.0041508023 0.0018555511 0.0021989124 0.0027629472 0.005206412 0.00091233663 0.00091357174 0.001303044 0.003993943 0.00044752253 0.0012705193 0.0003470667 0.0033422152 0.00091480685 0.0010609619 0.0010564331 0.0045443918 0.0023187185 0.0012281138 0.0020181742 0.0055382457 0.0050244387 0.0022219678 0.0012721661 0.005122836 0.002358242 0.00037300406 0.0030643148 0.01752131 0.0015249526 0.0029885613 0.003971711 0.007730159 0.0014475521 0.0043871207 0.0017674464 0.0077577434 0.0022783712 0.0013265111 0.00039852972 0.0026312019 0.0005191591 0.0014500224 0.00017826795 0.0012622853 0.00034418475 0.00022973097 0.00032648147 0.003224056 0.00020132338 0.00020873405 0.0002021468 0.0014664906 0.00036476998 0.00024825768 0.00017662112 0.0015274228 0.00023549484 0.00062332023 0.00040799892 0.0014191446 0.0001844435 0.0009078079 0.0009069845 0.0019518898 0.00020008827 0.00027584186 0.00066037365 0.002231437 0.0001848552 0.00016879874 0.0002021468 0.0019053674 0.00028736956 0.00118612 0.00041293938 0.0015961775 0.00019761805 0.001190237 0.00017497431 0.0019197769 0.00022973097 0.00033924432 0.0003668285 0.002437289 0.00041088084 0.00022973097 0.00013915604 0.0012845172 0.00020749895 0.00058173813 0.00015727103 0.001730393 0.00021737984 0.00031660058 0.00016509341 0.0020087052 0.00013421559 0.00026678437 0.00018773714 0.0021779155 0.0002322012 0.00047798865 0.0013508017 0.0017715634 0.0009016323 0.0010214383 0.0001646817 0.0016077051 0.00013956774 0.00018114988 0.00015727103 0.0014146158 0.0014953099 0.00020667554 0.0013330984 0.0016443469 0.00051421864 0.0008345245 0.0017295696 0.0018650203 0.0001543891 0.00016509341 0.00024249381 0.0019778272 0.00015233057 0.00014244967 0.00017538601 0.0015920603 0.00016427 0.00047963546 0.00010374947 0.0013643879 0.00014739012 0.00016674022 9.757391e-05 0.0017571538 0.00017085727 0.0003005441 0.0006093223 0.0012635203 0.000107866515 0.00018897225 0.0001556242 0.0014170861 0.0008337011 0.00017950305 0.00018279669 0.0014652555 0.000105807994 0.00013051025 0.00039153075 0.0016620501 0.000111571855 0.0002219086 0.00036518168 0.0022380243 0.0003676519 0.0001362741 0.0006846642 0.0015265994 0.00013668582 0.00023961188 0.0008114691 0.0054394365 0.011419852 0.00040264675 0.00014615501 0.003332746 0.00014780182 0.00037176895 0.0066300854 0.010699782 0.013868258 0.049293764 0.067991726 0.0008435259 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011577888 1.0914764e-05 1.0296947e-05 2.2653285e-06 1.6063239e-05 8.237558e-06 2.3888919e-05 6.5900463e-06 1.31800925e-05 1.2356337e-06 1.6475116e-06 1.6475116e-06 1.4415726e-06 1.8534505e-06 1.8534505e-06 6.3841076e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003517437 1.2356337e-06 6.3841076e-06 3.91284e-06 1.0502887e-05 1.25622755e-05 1.2768215e-05 5.560352e-06 4.530657e-06 2.0593895e-07 2.0593895e-07 2.8831453e-06 8.237558e-07 6.1781685e-07 8.237558e-07 7.001924e-06 0.0012022716 5.9310416e-05 1.750481e-05 1.379791e-05 0.00021438245 0.00010379323 1.173852e-05 1.7092932e-05 1.173852e-05 5.560352e-06 3.0890842e-06 4.118779e-07 1.8534505e-06 4.118779e-07 3.2950231e-06 2.0799835e-05 0.009986391 0.0005393541 0.00020140829 0.00013942066 0.0019319133 0.0011338999 0.0005208196 0.00036945447 3.6245256e-05 5.086692e-05 2.0799835e-05 1.0502887e-05 1.7298871e-05 5.9722297e-06 1.0914764e-05 0.00020820428 0.02535541 0.00076835824 0.0011647907 0.0004732477 0.0037089605 0.002013671 0.0052745086 0.0028866462 4.1805608e-05 4.2629363e-05 2.6978003e-05 3.8922462e-05 2.2653285e-05 1.4415727e-05 2.2241407e-05 0.00032105882 0.068098865 0.0011281336 0.007478673 0.0016382444 0.012478253 0.006017742 0.014611575 0.009321209 0.00011244266 0.000100498204 6.075199e-05 9.1436894e-05 8.278746e-05 4.5924386e-05 7.4961776e-05 0.00054800353 0.009549389 0.0009353747 0.0006126684 0.0004610973 0.00084146654 0.00045347758 0.0008750346 0.00089130376 0.00016475115 0.00020182018 9.493786e-05 7.846274e-05 0.00010441105 7.0843e-05 0.00011779708 0.0018394467 0.034929305 0.0048583057 0.0041651153 0.0033876956 0.0035475043 0.0024743564 0.00398739 0.0025896823 0.00090077694 0.0009172521 0.00039725623 0.0005055801 0.0007910115 0.000563449 0.00079080556 0.01575124 0.19273476 0.033200447 0.03018509 0.024967214 0.022808768 0.013916942 0.025777584 0.012953766 0.007316599 0.007174707 0.006524352 0.006686426 0.008516811 0.004974455 0.0056552896 0.11495347 0.057578884 0.012362103 0.01154535 0.008872468 0.012007477 0.004985576 0.009457541 0.004612209 0.0033250903 0.003427442 0.0031395394 0.0037097842 0.0039927443 0.0025791794 0.00291383 0.037692387 0.004293415 0.001062645 0.00041002446 0.0005014613 0.0034021114 0.0005811597 0.0005212315 0.0003727495 0.00036080505 0.0008707099 0.00044524 0.0016003515 0.0004996079 0.00038366427 0.00086720893 0.001119896 0.00020470332 4.4070934e-05 3.2538355e-05 2.32711e-05 0.0001464226 4.674814e-05 3.54215e-05 1.9976078e-05 1.8740444e-05 3.8510585e-05 2.2653285e-05 5.9104477e-05 2.1005773e-05 3.130272e-05 3.7686827e-05 6.136981e-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 0.0 421.0 13.071259 5503.0 0.005269853 0.00036343813 0.0 0.00036343813 0.0 0.00018171906 0.00036343813 0.0 0.00072687626 0.0005451572 0.0 0.0 0.00036343813 0.002907505 0.0043612574 0.00018171906 0.0010903144 0.00036343813 0.0039978195 0.0032709432 0.0 0.00036343813 0.0016354716 0.00018171906 0.00036343813 0.00036343813 0.0005451572 0.00036343813 0.00018171906 0.00090859534 0.0 0.0005451572 0.0005451572 0.02344176 0.009812829 0.01163002 0.009994549 0.010357986 0.0070870435 0.010721425 0.0018171907 0.019080501 0.0014537525 0.004724696 0.012902053 0.009085953 0.012902053 0.0036343813 0.012175177 0.0012720334 0.006723605 0.024168635 0.015991278 0.0027257858 0.012175177 0.0150826825 0.0 0.00018171906 0.0021806287 0.0 0.002362348 0.00018171906 0.00018171906 0.011266582 0.0005451572 0.049427584 0.01344721 0.020170815 0.024168635 0.10467018 0.016172996 0.014355806 0.007813919 0.039251316 0.0010903144 0.006360167 0.03870616 0.022714883 0.04106851 0.045611486 0.01544612 0.0 0.06214792 0.049609303 0.07232419 0.025258949 0.014900963 0.006360167 0.014537525 0.006178448 0.0014537525 0.00036343813 0.00018171906 0.0 0.0 0.0 5.2179055 3.0 0.0 0.0 1.0 2428928.0 2441216.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1493299700.0 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 8.0 10.0 6.0 0.0 4.0 0.0 4.0 0.0 2416640.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2416640.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.681623 0.0 3.8446636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2414884.0 0.0 6652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 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 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 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2418388.0 6652.0 2433024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 392.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05682861 0.008315648 0.0061788512 0.005657631 0.00575523 0.0049671694 0.004197798 0.0054229777 0.005052309 0.005635827 0.0037451044 0.0044677528 0.004951595 0.0031761227 0.0043317373 0.0046432237 0.005045041 0.0037627553 0.004933944 0.00415419 0.004360809 0.0031750845 0.0041136965 0.003847895 0.0050834576 0.003340172 0.0031636632 0.002924857 0.00415419 0.0034398478 0.0037855976 0.003793904 0.006174698 0.0038177846 0.0034855325 0.0030234943 0.0048924126 0.004165611 0.0038395887 0.0037243387 0.004728363 0.0039008476 0.0033349807 0.0030930596 0.0043722303 0.0037139559 0.003725377 0.0035924762 0.005521615 0.0039569153 0.0031003277 0.002895785 0.0036765775 0.0030743706 0.0026891658 0.0028584066 0.004177032 0.0033162916 0.003523949 0.0033526316 0.0039974083 0.0032259605 0.00350526 0.0034523073 0.006603511 0.0039610686 0.0036163568 0.0032280372 0.00415419 0.0032186925 0.0035467914 0.003065026 0.0049993563 0.0037772914 0.003710841 0.0035841698 0.0041303094 0.0031262848 0.003556136 0.0034626902 0.0051654824 0.0036308928 0.0036547733 0.0033349807 0.0039268048 0.0033765123 0.0033598996 0.0035384852 0.0046515297 0.0036475053 0.0038074018 0.0035135662 0.0041085053 0.0033868952 0.003689037 0.0037845594 0.0059151263 0.0036257014 0.003339134 0.0029539291 0.004010906 0.003054643 0.0032664537 0.003028686 0.004973399 0.0031709312 0.0032041564 0.0030536046 0.0035800168 0.0028386791 0.0030920214 0.0031823525 0.004516552 0.003277875 0.003223884 0.0031449741 0.0038904648 0.003332904 0.0032841046 0.0036267396 0.004620381 0.003289296 0.0034741114 0.0031615866 0.0040379018 0.003194812 0.003465805 0.003340172 0.00865413 0.004594424 0.004015059 0.0035260257 0.0043711923 0.003440886 0.0030162265 0.00339001 0.0045383563 0.0038250526 0.0029560057 0.0031906588 0.003725377 0.002798186 0.0028407557 0.002978848 0.0052443924 0.0032010416 0.0034928005 0.003028686 0.0036589266 0.003181314 0.0033100618 0.003263339 0.004546663 0.0028334877 0.0030390688 0.0026985102 0.0035156428 0.0032280372 0.002986116 0.003148089 0.0050107776 0.0034024694 0.0032726834 0.0027898797 0.0037731382 0.0030162265 0.003054643 0.0031865055 0.0041355006 0.002990269 0.003115902 0.0030099966 0.0036412757 0.0028366025 0.0029092827 0.003040107 0.004670219 0.0031200552 0.0038427035 0.0028542534 0.0035654807 0.0031460123 0.0029954605 0.0031190168 0.004251789 0.0031439357 0.0033339425 0.003174046 0.0036475053 0.003180276 0.0033183682 0.0033526316 0.006726029 0.0040617823 0.0037233005 0.003332904 0.0041126586 0.0032550325 0.0033027937 0.0032259605 0.0043327753 0.0033256363 0.003111749 0.0030681407 0.0036412757 0.0029881925 0.003072294 0.0027929945 0.004248674 0.003270607 0.00308683 0.003000652 0.003710841 0.0030131114 0.0029342016 0.0029352398 0.003977681 0.0031107105 0.0027317356 0.0026382895 0.0035332937 0.002946661 0.0035789784 0.0028802108 0.00494848 0.0032363434 0.0033889718 0.0029809247 0.0038146698 0.0030712555 0.0031979268 0.0029040913 0.004446987 0.0054613943 0.0034709964 0.0031366677 0.003783521 0.0030691791 0.0032363434 0.003181314 0.0046141515 0.0033162916 0.0034284266 0.0030421836 0.0037419896 0.0030847534 0.0033059088 0.0032394582 0.0043514646 0.0030245327 0.003184429 0.0028584066 0.004018174 0.0030951363 0.0042247935 0.004526935 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045962916 0.00029380075 0.0002719607 0.0002714407 0.00030056076 0.00024128062 0.00033280085 0.0003083608 0.00033228085 0.0003520409 0.00032916083 0.0003525609 0.00052260136 0.0001539204 0.00018460047 0.0007410019 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.099299975 0.06201796 0.06245268 0.0553115 0.060600433 0.059557833 0.05494542 0.05444726 0.060465235 0.053144656 0.052098934 0.052925214 0.056397785 0.05051293 0.056622423 0.053821698 4018.0 5.7035837 22917.0 0.017105205 0.010472575 0.009338046 0.00868351 0.013439804 0.012436183 0.011825282 0.011519833 0.01256709 0.009774404 0.008465331 0.008639874 0.013919798 0.01051621 0.011825282 0.009992582 0.016799755 0.011868918 0.008727145 0.007505345 0.009818039 0.008465331 0.007854431 0.008334424 0.010298032 0.008421696 0.009556225 0.008901688 0.011519833 0.00898896 0.009643496 0.009207139 0.018021556 0.010908932 0.010385304 0.009076231 0.010952568 0.008901688 0.010690753 0.008334424 0.0142688835 0.011607104 0.009818039 0.00898896 0.011432561 0.009381682 0.011650739 0.009599861 0.014792512 0.009643496 0.009948947 0.009076231 0.012087096 0.009338046 0.009556225 0.009774404 0.013701619 0.009250775 0.01051621 0.009599861 0.011127111 0.009818039 0.010385304 0.01073439 0.017934285 0.011039839 0.009687132 0.008203517 0.013134355 0.008247153 0.009381682 0.008334424 0.0154470485 0.00929441 0.008901688 0.00868351 0.01134529 0.007941702 0.009948947 0.007854431 0.013265261 0.007941702 0.00868351 0.008814417 0.011432561 0.009425318 0.008159881 0.007854431 0.010865296 0.008858053 0.011868918 0.0085526025 0.01134529 0.009032596 0.009948947 0.008770782 6.5545297 0.0 0.0 0.0 14.0 963124.0 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: 0.1487192 0.060612604 0.006328876 0.0046950122 0.0075965296 0.0042442908 0.0021878756 0.0023475061 0.008958083 0.0016902044 0.0019437349 0.0019249549 0.0060377857 0.0025353064 0.0011080229 0.0059157154 0.00786884 0.003164438 0.0025540865 0.0018028846 0.0034085787 0.0068359375 0.0014272836 0.0007042518 0.0032771183 0.0010329026 0.0009296124 0.0014648438 0.0015963041 0.001962515 0.0007136418 0.0009953425 0.017822266 0.0005821815 0.0012207031 0.00080754206 0.0025728666 0.00392503 0.00055401144 0.00057279144 0.0020658053 0.0009765625 0.0005446214 0.0012300932 0.0015681341 0.0033428485 0.001962515 0.00032865084 0.002356896 0.0006479117 0.00075120194 0.006601187 0.0029296875 0.0068359375 0.0015963041 0.0004695012 0.0016526442 0.0039438102 0.0026198167 0.0072397087 0.0010798528 0.0027700572 0.0004695012 0.00032865084 0.0029109074 0.0017559344 0.0012676532 0.0021315354 0.0022066557 0.013568585 0.0045917216 0.0011737531 0.0022536058 0.002328726 0.0005446214 0.00076059194 0.0020751953 0.005568284 0.0022723859 0.0012488732 0.010160006 0.001934345 0.001577524 0.006516677 0.0020564152 0.0040189303 0.0061880257 0.005192683 0.0023475061 0.0033428485 0.00044133113 0.0012864333 0.002281776 0.0044227014 0.0022348256 0.0022536058 0.0021690954 0.005493164 0.0014836238 0.00398137 0.0056621847 0.013108473 0.004939153 0.0024320162 0.015362079 0.0067514274 0.00778433 0.0006666917 0.007004958 0.0025165265 0.006253756 0.0060002254 0.0042255106 0.0004601112 0.007455679 0.007446289 0.016742412 0.016103892 0.0021409255 0.002319336 0.0025071364 0.0009671725 0.00067608175 0.0004225511 0.00397198 0.0032207782 0.0008920523 0.0026104266 0.0022254358 0.0013333834 0.00061974156 0.010160006 0.0028921275 0.013906626 0.0008920523 0.00047889122 0.0014836238 0.017080454 0.00081693206 0.025954027 0.0015117938 0.008967473 0.00049767125 0.0006385216 0.0010235126 0.00033804087 0.00016902044 0.00015024039 0.0013615534 0.0007042518 0.0004225511 0.00032865084 0.0012207031 0.0004601112 0.00025353066 0.0002347506 0.0008263221 0.0010422927 0.0003192608 0.00017841045 0.0011174128 0.004751352 0.0061035156 0.0033616286 0.0033334584 0.0010610727 0.0002629207 0.0008263221 0.0016902044 0.0017277644 0.00040377103 0.0010798528 0.002319336 0.00029109075 0.00022536058 0.00028170072 0.0010986328 0.0005258414 0.00056340144 0.0004601112 0.0014178937 0.0016526442 0.0005258414 0.00076059194 0.0016714243 0.000394381 0.00018780048 0.00034743088 0.0012864333 0.0008357121 0.00056340144 0.00049767125 0.012911283 0.0021784855 0.002694937 0.0027231069 0.0033240686 0.00020658053 0.0014648438 0.0029390776 0.0030329777 0.0020751953 0.00067608175 0.0005446214 0.014714167 0.00018780048 0.0008920523 0.0005915715 0.0018216646 0.00081693206 0.00079815206 0.00061035156 0.0015963041 0.00020658053 0.0014648438 0.0011455829 0.0024789663 0.00044133113 0.0004695012 0.0014930138 0.0023475061 0.0004695012 0.00030048078 0.00034743088 0.002751277 0.000769982 0.00037560097 0.0001971905 0.0022629958 0.0002629207 0.00030987078 0.00032865084 0.016460713 0.0029766376 0.00067608175 0.0046198918 0.004648062 0.00030987078 0.00018780048 0.0005258414 0.0031738281 0.00075120194 0.0009014423 0.0015117938 0.0022442157 0.00032865084 0.0013333834 0.0013991136 0.0047795223 0.0011737531 0.0009953425 0.0013239934 0.0047983024 0.0028357874 0.0034555288 0.06760817 0.01937007 9.481189e-06 0.0 9.481189e-06 9.481189e-06 0.0 0.0 0.0 0.0 0.0 0.0 9.481189e-06 0.0 0.0 0.0 9.481189e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007826722 1.4221784e-05 0.00018488319 0.00018488319 0.0002702139 0.00013273665 0.00067790505 0.00030813864 3.3184162e-05 1.8962379e-05 9.481189e-06 1.4221784e-05 0.0 0.0 9.481189e-06 2.3702973e-05 0.007381106 0.00018962378 3.3184162e-05 3.7924758e-05 0.00031287925 0.00013747724 0.001028709 0.0003650258 1.8962379e-05 0.0 8.533071e-05 9.00713e-05 4.7405947e-06 4.7405947e-06 1.4221784e-05 4.7405947e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005612864 1.4221784e-05 0.0025409588 0.0006636832 0.0007869387 0.00063998025 0.0060774423 0.0027969508 2.3702973e-05 9.481189e-06 2.3702973e-05 1.8962379e-05 1.4221784e-05 9.481189e-06 4.7405947e-06 0.0001801426 0.023418538 0.00037924756 0.015013463 0.0035933708 0.006845419 0.003849363 0.034966625 0.01698555 0.00029391688 9.00713e-05 0.00022754855 0.00029391688 0.00020384557 0.00011377427 0.00015169903 0.00036976638 0.0143545205 8.059011e-05 0.0048638503 0.001953125 0.0033895252 0.0023702974 0.013036636 0.006902306 0.00037924756 0.00015643962 8.059011e-05 6.162773e-05 7.5849515e-05 0.00012325546 9.00713e-05 0.0006257585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014932873 0.0010097467 0.0009718219 0.0012609982 0.0016592081 0.0016876517 0.0033753035 0.0037877352 0.0025077746 0.00083434465 0.00049776246 0.00086278823 0.0017824636 0.0007110892 0.00089597236 0.002057418 0.05913892 0.012173847 0.004721632 0.010562045 0.008419296 0.016468827 0.011970001 0.012083775 0.026931318 0.0019910499 0.008267597 0.0031856797 0.015293159 0.004522527 0.011017142 0.035971634 0.1130774 0.025840981 0.011889411 0.023973187 0.024935529 0.031140966 0.020977132 0.029296875 0.059736233 0.0059020403 0.019815685 0.007992643 0.033956878 0.011410612 0.025461733 0.059447058 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 464.0 26.769396 12421.0 0.11842847 0.00024152645 0.00016101763 0.0004830529 0.0005635617 0.018839063 0.00016101763 0.00016101763 0.0033813703 0.0029788262 0.00016101763 8.050881e-05 0.0014491586 0.019161098 0.009097496 8.050881e-05 0.0011271234 0.00024152645 0.0017711939 0.0020127203 0.009580549 0.00016101763 0.009178005 8.050881e-05 0.00088559696 0.00080508814 0.01288141 0.00080508814 0.00016101763 0.0037839143 0.00016101763 0.0005635617 0.0007245793 0.003944932 0.002576282 0.0070847757 0.0059576523 0.010788181 0.013283955 0.0035423879 0.0017711939 0.013767008 0.0 0.00080508814 0.005313582 0.004427985 0.004427985 0.0031398437 0.007165285 0.002576282 0.004669511 0.01626278 0.0072457935 0.002576282 0.004669511 0.005233073 0.0005635617 0.0020932292 0.00088559696 0.00040254407 0.00032203525 0.0004830529 0.0006440705 0.004347476 0.00032203525 0.03671202 0.007165285 0.027614525 0.03268658 0.09363175 0.01626278 0.014813622 0.007326302 0.04701715 0.0028178087 0.0017711939 0.045326464 0.014813622 0.04613155 0.041623056 0.013203446 0.00024152645 0.04484341 0.03944932 0.056114644 0.025199259 0.0050720554 0.0059576523 0.0041864584 0.0049110376 0.0029788262 8.050881e-05 0.00024152645 0.0 0.0 0.00016101763 5.1356363 0.0 0.0 0.0 2.0 106496.0 159744.0 1.0 0.0 174.0 0.0 1.0 0.0 0.0 0.0 1091599400.0 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 -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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 98816.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98816.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8982574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5887527 0.0 3.3942423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98760.0 0.0 1408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 1.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 98712.0 1408.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4848.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 20408.0 212.0 600.0 740.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.11664601 0.015130834 0.0064579253 0.006960379 0.009623383 0.0032519917 0.0042401506 0.0036344146 0.013585788 0.0016106431 0.0021103052 0.0028472373 0.009099994 0.0025429737 0.0017306737 0.0076498566 0.008368645 0.0018855969 0.0012128673 0.0010160729 0.003401332 0.006656115 0.0011891403 0.0008848767 0.0028807342 0.0006727296 0.0006322542 0.0011402906 0.0022777899 0.0008234657 0.00062946277 0.0007536805 0.0061215605 0.0008248614 0.0007620547 0.0008527755 0.0021884649 0.00072437065 0.0006406284 0.0005178064 0.0018967625 0.0005345548 0.00048291378 0.00328828 0.0016511185 0.00046058252 0.0004884966 0.00045360398 0.0020084188 0.0005429291 0.0004884966 0.007913645 0.0012966095 0.0010788797 0.000651794 0.00050943217 0.0015520235 0.0036274362 0.00038381875 0.0027383724 0.0013217322 0.0012491556 0.00047174815 0.00045081257 0.0035646295 0.0019442164 0.00072437065 0.0013775604 0.0010509655 0.021465937 0.002418756 0.0017069468 0.001969339 0.001459907 0.00043406413 0.0006657511 0.00084579695 0.009811803 0.001313358 0.00083742273 0.01629485 0.0038856415 0.0014110573 0.004470442 0.0013594163 0.0067663756 0.016107827 0.00780478 0.0017181124 0.0039945063 0.0004577911 0.0039582183 0.0026825443 0.0072311456 0.0045416225 0.002810949 0.0014152444 0.0003949844 0.00031822064 0.0003000765 0.0020070232 0.0013524378 0.0010132815 0.00027914092 0.0065193363 0.00035590466 0.009824364 0.0003656746 0.001115168 0.00040056722 0.0003000765 0.00031822064 0.002679753 0.0006978523 0.00056805176 0.0013636034 0.013665344 0.020241903 0.002168925 0.0015938947 0.0019344465 0.0008164872 0.00041312855 0.0005736346 0.0013203365 0.005433478 0.0017641706 0.0010453827 0.0022331274 0.0017613792 0.00034334333 0.014298993 0.0038661016 0.01650281 0.0022931427 0.0018576828 0.001875827 0.019391919 0.00044941687 0.058569346 0.0013580206 0.02198793 0.002376885 0.0013873304 0.0052939076 0.000600153 0.0012226372 0.00089743803 0.0018576828 0.0027662865 0.0016748455 0.0019051367 0.0023266396 0.00092256075 0.00031124213 0.0003000765 0.001200306 0.0012700912 0.0007146007 0.00080113445 0.0013998917 0.0016832197 0.00028053662 0.0008164872 0.0013175451 0.0052687847 0.00042289848 0.00036288318 0.0016329744 0.0005247849 0.00024006118 0.000269371 0.0019665477 0.00034613474 0.00031263783 0.00047872667 0.0015994775 0.00042289848 0.000269371 0.0010090944 0.0015897076 0.0011989102 0.001067714 0.0013775604 0.0034739086 0.00080113445 0.00035730036 0.00096861896 0.0014640942 0.0006950609 0.0015464406 0.0006406284 0.013853763 0.0026951055 0.0055646743 0.0035604425 0.002537391 0.0011026066 0.004623969 0.0037195527 0.0039679883 0.0027327896 0.00066295965 0.0029142313 0.0041550123 0.00084440125 0.004784475 0.002967268 0.002361532 0.00080392585 0.00090581225 0.0006392327 0.0026574216 0.00028751514 0.001091441 0.00074670196 0.0037977123 0.0016134345 0.00041591996 0.0021675292 0.0027174368 0.0017320694 0.0006392327 0.0005736346 0.0034292461 0.00047453956 0.00042429418 0.00041312855 0.003056593 0.0019386336 0.00041591996 0.00043406413 0.03173972 0.0021912563 0.00041452426 0.006307189 0.010297508 0.0003056593 0.00044662546 0.00037544454 0.007030164 0.0026992927 0.00041731566 0.000491288 0.0032282646 0.00068668666 0.004379721 0.0033217769 0.0063434774 0.002999369 0.0017878975 0.0023182654 0.011542477 0.004237359 0.005049659 0.07717409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00076040364 7.6949764e-05 3.4277622e-05 1.5389953e-05 5.456438e-05 9.373881e-05 5.876164e-05 6.155981e-05 8.674338e-05 1.1192694e-05 1.04931505e-05 2.6582647e-05 5.5263925e-05 1.1892237e-05 3.8474882e-05 3.6376252e-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 0.0037950226 0.0005421461 0.000516263 0.0004952767 0.0022182518 0.0021028272 0.0009730648 0.00040643467 0.0063595483 0.0008765278 0.0007520091 0.00066386664 0.0016271378 0.00080307573 0.0028562355 0.010828931 0.09847052 0.013801291 0.008536527 0.011317912 0.018725377 0.03571029 0.010896786 0.022406373 0.06474553 0.010196543 0.0062574153 0.007871262 0.025812449 0.007831387 0.024515497 0.05554094 0.10351003 0.02002303 0.012796047 0.014462359 0.030584734 0.04772075 0.014378414 0.033447966 0.07942685 0.012968834 0.010337851 0.009932816 0.033203825 0.014508529 0.035312247 0.06750034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 509.0 5.6895876 2896.0 0.03832873 0.002762431 0.005179558 0.0031077347 0.011395028 0.0013812155 0.0020718232 0.002762431 0.013121547 0.0020718232 0.0013812155 0.009323205 0.007596685 0.0020718232 0.0031077347 0.0010359116 0.007596685 0.0037983425 0.0048342543 0.0037983425 0.0065607736 0.0020718232 0.0020718232 0.0024171271 0.00448895 0.051104974 0.00069060776 0.010013812 0.007941989 0.0034530386 0.0024171271 0.00034530388 0.02140884 0.007596685 0.00069060776 0.0034530386 0.007596685 0.0062154694 0.005524862 0.007941989 0.0037983425 0.00034530388 0.0031077347 0.0020718232 0.0041436465 0.0017265193 0.0017265193 0.0041436465 0.08667127 0.043162983 0.01519337 0.040745858 0.00448895 0.0010359116 0.04730663 0.054558013 0.009323205 0.0065607736 0.0017265193 0.017265193 0.005524862 0.027969614 0.03314917 0.03383978 0.005524862 0.0041436465 0.0010359116 0.0017265193 0.008287293 0.0020718232 0.00448895 0.0010359116 0.04661602 0.0013812155 0.03314917 0.00034530388 0.0069060773 0.0010359116 0.0024171271 0.0034530386 0.007941989 0.0017265193 0.0048342543 0.0048342543 0.055593923 0.029696133 0.0031077347 0.0062154694 0.0048342543 0.0034530386 0.00069060776 0.0034530386 0.0065607736 0.0024171271 0.008287293 0.0024171271 5.525273 0.0 0.0 0.0 2.0 716484.0 1945600.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1479739000.0 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 14.0 0.0 6.0 0.0 6.0 0.0 1471488.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472512.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.485242 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 323690.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1471968.0 0.0 8752.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1789128.0 8752.0 1933312.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1688816.0 0.0 0.0 0.0 0.0 24.0 1688996.0 64.0 1688904.0 0.0 0.0 2436.0 1478656.0 0.0 0.0 0.0 0.0


Input: 0.70394814 0.0012514606 0.001193785 0.0014586154 0.0013787567 0.0011146088 0.0011907135 0.0011248471 0.0012313253 0.0011415697 0.0011251884 0.0011364506 0.0012125551 0.0011787688 0.001161705 0.0011760385 0.0012422462 0.0011671653 0.0011248471 0.001097545 0.0011388394 0.0011705782 0.0011453237 0.001123482 0.0011528318 0.0011436173 0.0010961799 0.0011804751 0.0011466888 0.0011265535 0.0011501015 0.0011640938 0.0011367918 0.0011402045 0.001123482 0.0011480539 0.0012053883 0.0011163153 0.0011227995 0.0011559032 0.0011255296 0.0011330377 0.0011043706 0.0011139263 0.0011098309 0.0011115373 0.001127236 0.0010972037 0.0011442999 0.0011364506 0.0011043706 0.001153173 0.0011101722 0.0011548795 0.0011262122 0.0010787748 0.0011012991 0.0011780863 0.0011152914 0.0012060709 0.0011337203 0.001159316 0.0011238232 0.0011463475 0.0011442999 0.0011565859 0.0011501015 0.0011347441 0.001213579 0.0018585915 0.0011651177 0.0011466888 0.0011132438 0.0012016343 0.0011538556 0.0011248471 0.0011640938 0.0012064122 0.0011733084 0.0011040292 0.0011794514 0.0011398633 0.0011705782 0.0011651177 0.0011716019 0.0011763799 0.0011623875 0.0011825229 0.0011586335 0.0012241586 0.0011903722 0.0012268887 0.0012132378 0.0011702369 0.0011402045 0.0011675067 0.0011473714 0.001197539 0.0011357679 0.0012101663 0.00117911 0.0012463415 0.0011610225 0.0011316726 0.0011698956 0.0011644352 0.0012105075 0.0011275773 0.0011586335 0.0011207518 0.0011907135 0.0011733084 0.0011698956 0.0011514666 0.0012060709 0.0011951501 0.0013166445 0.0012268887 0.0011309901 0.0010917432 0.0011780863 0.0011442999 0.001121093 0.0011480539 0.0011736497 0.0011828641 0.0011255296 0.0011118785 0.0012019756 0.0011320139 0.0011231407 0.0013279066 0.0011770624 0.001190031 0.0011156326 0.0011231407 0.001193785 0.0014429167 0.0011705782 0.0015644111 0.0011449824 0.0012125551 0.0011490778 0.0011347441 0.001161705 0.0010873066 0.0011473714 0.0011204105 0.0011374743 0.0011067594 0.00111495 0.0010845765 0.0011729671 0.0010845765 0.0011180216 0.0010934497 0.0011473714 0.0011501015 0.0011088072 0.0011405458 0.0011606811 0.0011466888 0.001139522 0.0011391807 0.0011726258 0.0011326965 0.0011337203 0.0011214344 0.0011521492 0.0011050531 0.0011354267 0.0011309901 0.0011402045 0.0011176803 0.001113585 0.0011115373 0.0011828641 0.0011620462 0.0010924259 0.0011664828 0.0011251884 0.0011408872 0.0011722845 0.001129625 0.0011562445 0.001119728 0.0011047118 0.0011268947 0.0011808164 0.0011088072 0.0011268947 0.0011050531 0.0012343968 0.0011702369 0.0011384982 0.0011954913 0.0011582922 0.001111196 0.001157951 0.0011384982 0.0011303076 0.0011309901 0.0011552207 0.0011408872 0.0011678479 0.0011419109 0.0011442999 0.0011180216 0.0011463475 0.0011337203 0.0011388394 0.0011767211 0.0011797926 0.001143276 0.001123482 0.0011187041 0.0011449824 0.0011286011 0.0011371331 0.001149419 0.0011651177 0.0011337203 0.0011289425 0.0011361092 0.0011992453 0.0011262122 0.0011637526 0.0011156326 0.0011661416 0.0011466888 0.0011316726 0.001139522 0.001269207 0.0011357679 0.0011504429 0.001217333 0.0011675067 0.0011422522 0.0011060769 0.0011289425 0.0011767211 0.0011289425 0.0011671653 0.0011449824 0.0012081185 0.0011364506 0.0011326965 0.0011449824 0.0011818403 0.0011460063 0.0011333791 0.001159316 0.0012466828 0.0011651177 0.0011340616 0.0015452997 0.015383933 0.0 0.0 0.0 0.0 1.7072772e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4145543e-07 1.7072772e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00032540702 8.0242025e-06 6.3169255e-06 1.7072772e-07 8.5363854e-07 1.3658217e-06 3.4145543e-07 3.4145543e-07 4.6096484e-06 3.4145543e-07 5.1218314e-07 1.7072772e-07 1.7072772e-07 5.1218314e-07 1.7072772e-07 3.4145543e-07 0.0005908886 3.2438265e-06 2.2194602e-06 1.8780048e-06 4.2681928e-05 1.9975141e-05 8.707113e-06 3.585282e-06 3.4145542e-06 1.7072771e-06 2.7316435e-06 4.097465e-06 3.0730987e-06 3.2438265e-06 2.0487325e-06 5.804742e-06 0.00088983285 3.9779556e-05 6.3169255e-06 4.9511036e-06 8.0242025e-06 7.170564e-06 5.1218312e-06 5.463287e-06 7.3412916e-06 3.585282e-06 6.8291083e-06 3.4487e-05 1.1438757e-05 4.2681927e-06 5.804742e-06 8.536385e-06 0.0011339735 2.0316598e-05 2.3731152e-05 1.4853311e-05 1.7584955e-05 2.4414063e-05 3.3974815e-05 2.1340964e-05 2.4414063e-05 9.902207e-06 1.1780212e-05 1.860932e-05 8.19493e-06 7.5120192e-06 1.4853311e-05 1.3146034e-05 0.051007807 0.0010716579 0.0010494633 0.0010484388 0.0011018766 0.001083438 0.0012123375 0.0011273151 0.0010696091 0.0010453658 0.0010520242 0.0010760968 0.0010474145 0.0010516827 0.001047073 0.0010412683 0.5593929 0.01327664 0.013138521 0.013176082 0.013342712 0.01334459 0.013309762 0.013259567 0.0132525675 0.013178813 0.013251543 0.013199642 0.0132063 0.0133266635 0.013334005 0.013401272 0.08803745 0.002635353 0.002661645 0.002631597 0.0026449137 0.0026821324 0.0026146949 0.0026466209 0.0026100853 0.002634158 0.0026778642 0.0026413284 0.0026498649 0.002649011 0.0026286945 0.002576964 0.0018636637 5.7364512e-05 5.4803593e-05 5.890106e-05 0.0001102901 0.00010380245 0.00024738445 0.00015638658 6.316925e-05 5.3437772e-05 5.9413243e-05 5.7364512e-05 6.914472e-05 5.8559606e-05 6.248634e-05 7.068127e-05 0.00019445886 1.02436625e-05 9.73148e-06 9.902207e-06 9.048568e-06 1.1780212e-05 1.1268029e-05 1.02436625e-05 8.707113e-06 1.1609484e-05 1.0926574e-05 9.560752e-06 1.2121667e-05 1.0585118e-05 1.02436625e-05 9.219297e-06 0.00010107081 2.0487325e-05 1.5365493e-06 2.5609156e-06 3.431627e-05 1.9804414e-05 8.860768e-05 4.8828126e-05 1.5365493e-06 1.195094e-06 1.8780048e-06 1.8267865e-05 5.292559e-06 1.5365493e-06 1.195094e-06 1.5365493e-06 0.00021340964 2.2536058e-05 9.390024e-06 1.4341128e-05 0.00022809222 2.1853148e-05 8.0242025e-06 3.721864e-05 0.00019599541 1.3999672e-05 1.50240385e-05 2.2877513e-05 3.7047914e-05 3.4657725e-05 7.0852e-05 0.00010363172 0.0011375587 0.00015860604 0.00012070449 0.00014511855 0.00057381584 0.0002945053 0.00012480195 0.00023748225 0.0007438606 7.6144555e-05 8.433949e-05 0.000112338836 0.00025335993 0.00015365494 0.00023509205 0.0004437213 0.00069161796 0.00013197251 8.963205e-05 0.00011780212 0.00017823973 0.0002975784 0.00011763139 0.0001965076 0.00043825802 2.4243334e-05 4.25112e-05 6.197416e-05 0.0002045318 8.365658e-05 0.0001509233 0.000319773 0.00096512376 0.00091834436 0.0009012716 0.0009540264 0.0009255149 0.0009297831 0.0009456608 0.0009265393 0.000989367 0.0009297831 0.0009436121 0.00095214846 0.00093200256 0.0009075885 0.00095214846 0.00096205063 374.0 9.548128 3571.0 0.005600672 0.005600672 0.0053206384 0.004200504 0.0044805375 0.0044805375 0.004200504 0.0053206384 0.004200504 0.0022402687 0.0033604032 0.0033604032 0.002800336 0.0030803697 0.0067208065 0.0022402687 0.004200504 0.0033604032 0.0067208065 0.007840941 0.0044805375 0.005040605 0.0039204704 0.0044805375 0.0022402687 0.005600672 0.005600672 0.002800336 0.004200504 0.0061607393 0.004200504 0.0047605713 0.0061607393 0.019042285 0.005600672 0.015681881 0.033884067 0.010921311 0.008681042 0.025203025 0.007840941 0.027443293 0.0036404368 0.0033604032 0.0126015125 0.008961075 0.015681881 0.0047605713 0.02408289 0.0047605713 0.0061607393 0.021282554 0.010641277 0.005040605 0.0081209745 0.016241949 0.016241949 0.0053206384 0.0033604032 0.0047605713 0.004200504 0.0030803697 0.0039204704 0.010921311 0.0044805375 0.031363763 0.005040605 0.016241949 0.01708205 0.06972837 0.007840941 0.016521983 0.007840941 0.03024363 0.0067208065 0.0044805375 0.024362924 0.016802017 0.028003361 0.024362924 0.010921311 0.0019602352 0.034444135 0.022122655 0.05124615 0.015681881 0.01008121 0.0047605713 0.0070008403 0.0064407727 0.0044805375 0.0025203025 0.0033604032 0.0033604032 0.0047605713 0.0053206384 6.0282288 0.0 0.0 0.0 6.0 2930176.0 70082560.0 0.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 1469701000.0 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 12.0 0.0 5.0 10.0 5.0 0.0 1807872.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1090560.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1807872.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.131464 0.0 0.0 0.0 4.325018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7878201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.326944 0.0 1.5819143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1090344.0 0.0 0.0 0.0 4362.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67147520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1807832.0 0.0 14548.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1816296.0 6356.0 70066180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 412.0 1814528.0 0.0 0.0 0.0 0.0