Input: 0.20388044 0.018194273 0.011606592 0.01072669 0.010701605 0.0052176598 0.0068288823 0.01230125 0.008683235 0.004542297 0.0030622878 0.00565954 0.0041949674 0.0019161006 0.005155912 0.0031664865 0.0029638777 0.0021225687 0.0022151899 0.008733406 0.004856823 0.005979855 0.0050613615 0.002056962 0.003046851 0.002278867 0.0012581043 0.00093778945 0.0027226768 0.0012175826 0.0012581043 0.0009763816 0.003920963 0.0012754708 0.0012426674 0.00096480397 0.0056769066 0.0012484563 0.001323711 0.0013893177 0.0014896573 0.0012310898 0.0007949984 0.0013449367 0.0010014665 0.0018775085 0.0044014356 0.0029561594 0.002917567 0.002406221 0.001707703 0.0011577647 0.002303952 0.0010014665 0.0017405064 0.00062519294 0.0014433467 0.0009956777 0.0018620716 0.0020511732 0.0012445971 0.0008991973 0.0005518679 0.0009281414 0.0016652517 0.012139163 0.003976922 0.014300324 0.021036586 0.019614464 0.003430843 0.010691958 0.0046117627 0.03327223 0.0008085057 0.002303952 0.009121257 0.0057290057 0.00762774 0.015064449 0.012096712 0.0008470979 0.015492822 0.017723449 0.0138951065 0.010583899 0.003504168 0.003015977 0.0020357363 0.0032629669 0.0008085057 0.0008818308 0.001018833 0.0005152053 0.0006097561 0.040618245 0.0007621951 0.013806345 0.003174205 0.010948596 0.012198981 0.02031877 0.0036257333 0.004814372 0.004696666 0.013516903 0.00059624884 0.0019431151 0.009429994 0.0062557887 0.013937558 0.011870948 0.007687558 0.0003666255 0.014288747 0.00831854 0.022059277 0.0059663476 0.0024351652 0.0031954306 0.0020743285 0.0031471904 0.0007544767 0.00023734177 0.0004997685 0.00032610373 0.00033189257 0.00064834824 0.0009223526 0.00055572705 0.0006850108 0.0024737574 0.00082201295 0.0015089534 0.00062519294 0.0004206545 0.0002875116 0.0030526398 0.00033768138 0.0027477616 0.00092621177 0.0016613924 0.0002219049 0.0001929608 0.0016054338 0.0017771688 0.0002199753 0.00059431925 0.0002933004 0.00023734177 0.00027593394 0.00054800865 0.00025277864 0.00022383452 0.00085674593 0.00032610373 0.0008837604 0.00013893176 0.0003627663 0.0013314295 0.00052099413 0.0012542452 0.00029715963 0.0002701451 0.00024313059 0.00015822785 0.00028365236 0.00015629824 0.00030487805 0.00040521767 0.00043416178 0.00026242668 0.0005152053 0.00050169806 0.00044766904 0.00041872493 0.0007834208 0.0004129361 0.0002933004 0.00040135844 0.0049687405 0.00028172275 0.00049783883 0.00040907686 0.00069851807 0.00040714728 0.0004669651 0.00047275395 0.0008528867 0.0004901204 0.00039556963 0.00036469588 0.0015899969 0.00044766904 0.00035118865 0.0015436864 0.00084516825 0.00047661315 0.0008799012 0.0016961254 0.00060203765 0.0004129361 0.0003666255 0.0011056653 0.00036469588 0.0005152053 0.000339611 0.00025277864 0.0005634455 0.00029908924 0.0005866008 0.0003183853 0.00035504784 0.00025856745 0.0010226922 0.0002643563 0.00057116395 0.00023541217 0.00025277864 0.0004901204 0.00021032726 0.00022769373 0.00026049707 0.00023734177 0.0007197437 0.0005866008 0.0005094165 0.00028172275 0.00069851807 0.0003415406 0.00047082434 0.0002875116 0.0014452763 0.00054993824 0.00052099413 0.0006136153 0.00084323867 0.00043030255 0.00023541217 0.00024120099 0.0006309818 0.0002913708 0.0004438098 0.0004360914 0.0002199753 0.00028172275 0.00049590925 0.00048240199 0.00059624884 0.00032803335 0.0003164557 0.0006599259 0.00029523 0.00035504784 0.0005229237 0.0048452453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016538715 0.00036355198 0.0006623221 0.00017307395 9.9590034e-05 9.572246e-05 0.000690362 0.0004167311 8.99211e-05 5.704672e-05 6.381497e-05 6.961633e-05 7.251702e-05 0.00010635829 0.00010635829 0.00019627939 0.022447402 0.00048538056 0.00079091894 0.000299737 0.0003606513 0.0005259901 0.0008411974 0.00059270574 0.00012956373 0.00026202816 0.0001643719 0.0001353651 0.00014503404 0.00014406715 0.00014503404 0.0002533261 0.03228748 0.0013333462 0.0008054223 0.00051728805 0.008502862 0.008475789 0.002042079 0.0015886062 0.000254293 0.0012260211 0.00032294245 0.00033841273 0.00024945854 0.00024172339 0.00044283725 0.0007773824 0.04031946 0.00697517 0.0029818998 0.0030447477 0.0400642 0.032021582 0.009286046 0.005404935 0.00068842823 0.0007841507 0.00034421412 0.00023302135 0.00032487625 0.00045540687 0.0007058323 0.0009204827 0.025618812 0.0070650913 0.0015102878 0.0034053992 0.027194848 0.022125425 0.007638459 0.004134437 0.0007957534 0.00074160733 0.00039545947 0.00038095607 0.0005656327 0.00055016245 0.00048828125 0.0003596844 0.016175162 0.0019956683 0.0010278078 0.0014097309 0.009856513 0.0069393953 0.0043297494 0.0022460937 0.00074644183 0.00033551207 0.00018177599 0.0004766785 0.00096882734 0.00019627939 0.00024655787 0.00039255878 0.059678603 0.0084061725 0.005250232 0.004060953 0.03066793 0.022943417 0.03867671 0.019392984 0.0015325263 0.00097366184 0.0013111077 0.0021484375 0.0020875232 0.00083539606 0.0011380337 0.0008963103 0.07849532 0.016594794 0.011445119 0.0069171567 0.04372196 0.02851369 0.06051787 0.03205252 0.0027024676 0.0035011217 0.002417234 0.0045753405 0.0026357519 0.0018100247 0.0014948174 0.0016147123 0.007930461 0.0009204827 0.0018158262 0.0011283648 0.0017906869 0.0017317063 0.0044274055 0.0028184948 0.0006458849 0.0005143874 0.00032971072 0.0005830368 0.00032100867 0.00021174969 0.00023012067 0.00034324723 0.005038482 0.0008876083 0.0015383277 0.00077931624 0.00096689357 0.0011032255 0.0011863784 0.0012337562 0.0024027305 0.0003422803 0.00024559096 0.0007483756 0.0010403774 0.00033841273 0.00086343597 0.0010867884 0.010746055 0.0025119896 0.004135404 0.0017955214 0.0023050744 0.002553566 0.0022412592 0.002379525 0.007282642 0.0010819539 0.0005772355 0.0024114326 0.003260365 0.0011380337 0.0028001238 0.0042649675 0.00034131343 0.00013826578 0.0001343982 0.00022045174 0.000115060335 9.2821785e-05 0.0001953125 0.0001343982 0.00011409344 7.058323e-05 7.348391e-05 6.478187e-05 7.155012e-05 7.831838e-05 6.961633e-05 6.574876e-05 12536.0 18.977026 237896.0 0.003631839 0.0001429196 8.827387e-05 5.4645727e-05 0.0016057437 0.00039092713 6.3052765e-05 2.5221105e-05 0.00034468842 0.00023119347 0.00011349497 5.4645727e-05 0.00021017587 0.0028079497 0.00601103 0.0039050677 0.0024758717 0.001681407 0.0018915829 0.0014207889 0.0025221105 0.00044977636 0.0022194572 0.000479201 0.0012358341 0.0007734472 0.00035309547 0.00018075126 0.00013451256 0.0006263241 0.00017654774 0.00019756533 0.0010172513 0.02169015 0.0072594746 0.028146753 0.04139624 0.041371018 0.0061623566 0.021879308 0.008558362 0.068719104 0.0001933618 0.0036780778 0.018184416 0.0112107815 0.015641289 0.03170293 0.022282846 0.00060951005 0.032102264 0.034615967 0.028243434 0.020988163 0.0056243064 0.004817231 0.0026734371 0.0057756333 0.0007986683 0.00014712311 4.6238692e-05 0.00013871607 0.00013871607 0.087222986 4.2035175e-05 0.028604936 0.0054687764 0.02232488 0.015935535 0.042909507 0.0066205403 0.009151057 0.009008138 0.028314894 0.0008154824 0.0036108214 0.019151226 0.012841746 0.028756263 0.025044557 0.015136867 0.0002185829 0.029508693 0.015372263 0.04101372 0.010622289 0.0033670175 0.005716784 0.003564583 0.00616656 0.0010508794 4.2035176e-06 3.7831658e-05 1.2610552e-05 1.2610552e-05 5.8849244e-05 5.3441396 0.0 11.0 0.0 13.0 518240.0 516096.0 0.0 135.0 79.0 1.0 1.0 1.0 1.0 1508.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 26.0 4.0 0.0 4.0 0.0 32768.0 1536.0 4096.0 18.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -25600.0 -20992.0 -335360.0 -512.0 0.0 0.0 0.0 25088.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 4608.0 0.0 0.0 -32768.0 -2560.0 1536.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11.589399 -5.996453 -6.0540943 -1.606343 0.0 0.0 0.0 3.8771236 0.0 5.0974627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.076771 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.835428 0.0 0.0 0.0 0.0 0.0 4.8936615 0.0 0.0 -6.1833034 -4.9404206 3.3847556 0.0 0.0 0.0 -2.7126055 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -25318.0 -20867.0 -335063.0 -48.0 0.0 0.0 0.0 24696.0 0.0 1616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2368.0 0.0 0.0 0.0 0.0 0.0 1004.0 0.0 0.0 -76.0 0.0 0.0 0.0 0.0 0.0 4319.0 0.0 0.0 -32688.0 -2416.0 1104.0 0.0 0.0 0.0 -984.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 2.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 2.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -2.0 1.0 0.0 -1.0 2.0 1.0 1.0 -2.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 2.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 4319.0 49152.0 2416.0 57344.0 1104.0 69632.0 0.0 0.0 6304.0 511936.0 1304.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 41656.0 0.0 0.0 0.0 0.0 324.0 57728.0 0.0 0.0 0.0 0.0


Input: 0.042889964 0.0060106595 0.0033050848 0.0046044094 0.0048708953 0.0028098517 0.0029968882 0.004669624 0.0052446374 0.003002516 0.0030958687 0.0026188428 0.0046570445 0.002698954 0.0033563958 0.005435977 0.0035874604 0.0029022114 0.002664526 0.002421544 0.0030425715 0.0032061043 0.00238844 0.0024503444 0.0037950212 0.0036735302 0.0023672536 0.003125662 0.004360765 0.003455376 0.003366327 0.0042412607 0.0036007017 0.00205674 0.002326536 0.004389566 0.0046451273 0.0023288534 0.0023490465 0.0034391552 0.0025807733 0.0025205244 0.0030591234 0.0035248941 0.002873411 0.0029187633 0.0026883606 0.002657243 0.003212063 0.003429555 0.0034507415 0.004156515 0.0028869836 0.002744306 0.0031739937 0.0030217161 0.0043471926 0.004071107 0.0031137448 0.0038297803 0.0041118246 0.0040492583 0.0038344148 0.005407508 0.0037725107 0.003202463 0.002613215 0.0025791181 0.0023460672 0.007797934 0.0036381092 0.003749338 0.004719611 0.0047451006 0.0027231197 0.0025923597 0.0024807998 0.0067389435 0.0030799787 0.0039952993 0.0041644596 0.0037016685 0.003151814 0.0030677305 0.0031240068 0.0065677967 0.0034643142 0.0034951007 0.0029412739 0.003230601 0.0026956436 0.0031584348 0.0030266817 0.0034358448 0.0029482257 0.0038926774 0.0029919227 0.002727423 0.0025576006 0.0038201802 0.0036761784 0.0036483712 0.003410355 0.0033040915 0.003158104 0.003323623 0.0035987156 0.0030184058 0.0032339115 0.003542439 0.0037533103 0.0037639036 0.0036043432 0.003741062 0.003898967 0.0042412607 0.0046835276 0.004707693 0.0033802304 0.0032832362 0.0037470206 0.0032948225 0.0033888374 0.0030187368 0.0037536414 0.0037139168 0.0040317136 0.0048063425 0.0034570312 0.003202463 0.0032352358 0.0066359905 0.0026142083 0.0065072165 0.0027843618 0.002733713 0.0028528867 0.009177039 0.0031971664 0.014512712 0.004163136 0.0072119967 0.0041538663 0.003932402 0.003282905 0.0035977224 0.0034361759 0.0032580774 0.0025625662 0.005234375 0.0028744042 0.0028062102 0.0025052966 0.002683395 0.0027052436 0.0027174922 0.0039221398 0.0026357255 0.003929754 0.0041737286 0.0028267347 0.0028638109 0.0021113611 0.0031127515 0.0030832891 0.0029912605 0.0025903734 0.0035106593 0.003081965 0.002986295 0.0028969147 0.0029766948 0.0029316738 0.0032067664 0.0028532178 0.0036407574 0.0029008873 0.003065413 0.0026185117 0.0027803893 0.0031733315 0.0032762843 0.0035480668 0.0039198226 0.0036394333 0.0032329184 0.002630429 0.0032968088 0.0033001192 0.0030263506 0.00323656 0.004019134 0.004610368 0.004051245 0.0029058529 0.0037195445 0.0037701933 0.0029197563 0.0041555217 0.0063314354 0.0039241263 0.0036410885 0.0031448624 0.0030743512 0.0069120764 0.0028866525 0.0032991262 0.0041522114 0.0032249736 0.0024715308 0.0032140492 0.0033918167 0.0035291975 0.0025314486 0.0029528602 0.003367651 0.0033362024 0.0028406382 0.0034702728 0.0039476296 0.0040141684 0.0033040915 0.0029919227 0.0035828257 0.004724576 0.0033957893 0.0032415255 0.004582561 0.0043594413 0.0038221662 0.0031567796 0.0041985568 0.0061487025 0.0040783896 0.0030928892 0.0046391683 0.0046047405 0.003958223 0.0033742718 0.003272643 0.0054121423 0.004105535 0.0037215308 0.003810911 0.0042905854 0.0035285356 0.00404661 0.0035616392 0.0060722325 0.00421875 0.0035378046 0.004133011 0.007136189 0.004644465 0.006381091 0.02727357 0.00067720254 0.0 0.0 0.0 0.0 3.311504e-07 0.0 0.0 3.311504e-07 0.0 0.0 0.0 0.0 3.311504e-07 0.0 0.0 0.00032866676 8.2787597e-07 2.1524775e-06 3.8082294e-06 4.967256e-07 0.0 8.2787597e-07 1.655752e-07 9.934512e-07 3.311504e-07 4.967256e-07 0.0 0.0 1.655752e-07 1.655752e-07 0.0 0.00094593107 1.4405042e-05 8.9410605e-06 1.1755839e-05 7.782034e-06 2.9803534e-06 4.4705303e-06 2.8147783e-06 2.483628e-06 1.1590264e-06 9.934512e-07 1.9869024e-06 1.9869024e-06 1.9869024e-06 9.934512e-07 6.6230077e-06 0.00029687633 8.9410605e-06 4.13938e-06 2.483628e-06 3.1459288e-06 1.8213271e-06 1.1590264e-06 1.1590264e-06 1.3246016e-06 1.1590264e-06 1.3246016e-06 9.934512e-07 1.4901767e-06 1.9869024e-06 8.2787597e-07 1.0265662e-05 0.0005758705 1.1424689e-05 1.0100087e-05 1.0100087e-05 5.960707e-06 6.126282e-06 5.132831e-06 5.795132e-06 4.8016805e-06 4.304955e-06 5.132831e-06 4.304955e-06 2.8147783e-06 4.304955e-06 4.967256e-06 1.7054244e-05 0.0008118152 2.6657606e-05 2.169035e-05 1.5729644e-05 3.857902e-05 1.241814e-05 1.5895219e-05 1.3908317e-05 4.967256e-06 3.4770792e-06 4.8016805e-06 1.1093538e-05 3.4770792e-06 2.9803534e-06 5.795132e-06 2.4008403e-05 0.00063249725 2.483628e-06 5.8448044e-05 2.483628e-06 5.2818486e-05 1.8213271e-06 0.0001435537 8.5602376e-05 1.6557519e-06 1.6557519e-06 1.1590264e-06 2.1524775e-06 3.1459288e-06 9.4377865e-06 1.6557519e-06 1.6723096e-05 0.0052760537 0.00013163227 0.00023081183 6.838256e-05 0.0006614729 0.0001081206 0.00039754604 0.00020912147 6.47399e-05 0.00010232547 2.549858e-05 3.7419995e-05 4.0400348e-05 9.967627e-05 4.238725e-05 0.0006427629 0.0013790758 2.963796e-05 0.00012981096 6.838256e-05 0.00028214013 8.692698e-05 0.00056709506 0.00034207836 2.102805e-05 6.126282e-06 1.1921414e-05 2.483628e-05 6.4574324e-06 2.483628e-05 1.3742741e-05 5.7785743e-05 0.0028816706 9.570246e-05 0.00025349561 0.00023544792 0.0006897863 0.00027253677 0.0011462771 0.00076396397 0.00024372668 7.732362e-05 4.5367604e-05 6.970716e-05 7.649574e-05 0.000115571485 0.00010365007 0.00038943285 0.0030765526 0.00021243298 0.00042436924 0.00028247127 0.0008222464 0.00042221675 0.0010682911 0.0008464204 0.002916276 0.00061776105 0.00017203263 0.0002116051 0.00032088472 0.00017004572 0.0004506957 0.0049405983 0.0039536045 0.00049523544 0.0005975609 0.0028763723 0.0009457655 0.0007161127 0.00089394045 0.0008253924 0.005061468 0.0012901619 0.00045019895 0.0005586507 0.000941295 0.00060915115 0.0013169851 0.007630533 0.0041228225 0.0004713926 0.00040516251 0.00062653655 0.0017853973 0.0011689608 0.0003491981 0.0004973879 0.004579148 0.00067471893 0.00032800445 0.00046625975 0.0013436427 0.00046543186 0.0011510787 0.00496262 0.019553933 0.0025859533 0.0018012925 0.0022357618 0.009681844 0.006661587 0.002397032 0.0031626518 0.01739649 0.0012131694 0.001169292 0.0020546226 0.008647164 0.0020675375 0.006540717 0.012525763 0.005934215 0.0011995923 0.00089327816 0.0012669814 0.002192381 0.0022779836 0.0010073595 0.0017435068 0.003930755 0.00040516251 0.00046212037 0.0006897863 0.0020734982 0.00088119117 0.002093864 0.0034671447 0.05172056 0.045771774 0.04312439 0.0510672 0.043615654 0.044337396 0.045537814 0.05280938 0.046162363 0.047930874 0.044997375 0.047538128 0.05004891 0.047728706 0.052938696 0.0612052 10659.0 7.3893423 78763.0 0.014918172 0.0059545725 0.0051166154 0.009826949 0.013635844 0.0055482904 0.0056879497 0.0069575817 0.006563996 0.0068687075 0.0073384712 0.0072749895 0.00737656 0.005738735 0.009014385 0.0055102017 0.011439381 0.010563335 0.014181786 0.011718701 0.010118964 0.00858271 0.010436373 0.010601425 0.01089344 0.010791869 0.01016975 0.010791869 0.011756789 0.011998019 0.009750771 0.016238589 0.024630854 0.008481139 0.0052054897 0.0077447533 0.0068814037 0.0076050935 0.010360194 0.009433364 0.0072876858 0.009446059 0.0052308827 0.006424336 0.006081536 0.0067036552 0.008493836 0.008493836 0.009623808 0.0060307505 0.009154044 0.008988992 0.008811244 0.012962939 0.011172758 0.010131661 0.0077193608 0.007300382 0.006068839 0.0078590205 0.00810025 0.0069321888 0.0064751217 0.014257964 0.0073130783 0.01672105 0.011325114 0.014791209 0.014334141 0.029633204 0.009966609 0.008798547 0.008366873 0.019069867 0.0073511675 0.008214517 0.014905476 0.01282328 0.01799068 0.02251057 0.015451417 0.007820931 0.023805594 0.021571042 0.026294071 0.011934537 0.009369882 0.009776164 0.009699986 0.009941216 0.0069575817 0.0076685753 0.006856011 0.008481139 0.008506532 0.008290695 6.4563766 0.0 0.0 0.0 35.0 3020800.0 3039232.0 1.0 0.0 114.0 0.0 1.0 0.0 1.0 0.0 1539880000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 539136.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -539136.0 0.0 2361856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6217294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1480875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.721547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.228349 0.0 7.9563584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88434.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -539117.0 0.0 2361640.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 630536.0 2361640.0 655360.0 0.0 0.0 0.0 0.0 16896.0 3018752.0 28.0 605216.0 0.0 0.0 0.0 0.0 24.0 605408.0 64.0 605248.0 0.0 0.0 468.0 544768.0 0.0 0.0 0.0 0.0


Input: 0.10123012 0.013128602 0.0073838653 0.0068767807 0.01226122 0.0036874847 0.0052354275 0.0038053596 0.017692365 0.0026021453 0.001952721 0.002150662 0.016862791 0.0032004165 0.002591025 0.015933136 0.014113858 0.0019682895 0.0044525596 0.006534276 0.008684938 0.0022507445 0.0010542024 0.0018259499 0.005460057 0.000916311 0.0009407756 0.0015079099 0.0044836965 0.00103641 0.00081845256 0.000836245 0.0050330386 0.00082957285 0.0006738889 0.0024019803 0.008229007 0.0016257848 0.0007339384 0.00072726625 0.006903469 0.000756179 0.0005893748 0.0026132655 0.0009785845 0.0006983535 0.0046527246 0.0005804786 0.0028112065 0.0013588981 0.0014122755 0.007321592 0.0024153246 0.001470101 0.0013411057 0.0013388816 0.0040366612 0.0041589844 0.0015345985 0.0069123656 0.0034761992 0.002546544 0.0015990961 0.0020394593 0.0068322993 0.00246203 0.0010453062 0.0024953906 0.0023997563 0.019562796 0.004826201 0.0027689496 0.0034406143 0.0016435772 0.0015724074 0.0008429172 0.0015434948 0.0061183777 0.0018926716 0.0014300679 0.010324067 0.0053199413 0.0016591457 0.00771525 0.0010653228 0.0048773545 0.0099482015 0.007873158 0.0015590631 0.011336013 0.00048039606 0.0022374003 0.0010542024 0.0048818025 0.0033583243 0.004272411 0.0129351085 0.003271586 0.00090741477 0.0023018979 0.0017614522 0.006013847 0.004819529 0.0011854217 0.003943251 0.0030536286 0.007252646 0.00063608 0.0024219968 0.0016925065 0.0031626073 0.0030024755 0.002677763 0.0005893748 0.003983284 0.0038965459 0.019111311 0.02560778 0.002115077 0.002353051 0.0021595582 0.0013277613 0.00079398794 0.0010653228 0.0014856693 0.004821753 0.0014278438 0.001674714 0.00414564 0.0025776806 0.00064275216 0.023906376 0.0063118706 0.01596205 0.0015434948 0.00063385593 0.0014789972 0.01715859 0.002190695 0.043464724 0.0009318794 0.0074350187 0.00069168134 0.00040700223 0.0008006601 0.00038476166 0.00036474515 0.0004025541 0.0007650752 0.0004626036 0.00038698572 0.00031804 0.0021640062 0.00048706823 0.00031804 0.00028467915 0.0005804786 0.00035362487 0.00037141732 0.0016680419 0.00082957285 0.00037586543 0.0003224881 0.0003780895 0.00071169785 0.00035584893 0.0003780895 0.00033583242 0.001312193 0.000438139 0.00041145034 0.0003780895 0.0010519784 0.00034917676 0.00034472864 0.0003425046 0.0008962945 0.00037141732 0.00034917676 0.00037586543 0.0006472003 0.00028023103 0.001552391 0.0012365751 0.0014322919 0.00065832055 0.00047149984 0.00045370738 0.0006249597 0.00040922628 0.0009363275 0.0008473653 0.015108012 0.004076694 0.0010074973 0.0058292504 0.010884529 0.0003514008 0.0018126055 0.0030046995 0.002911289 0.0034472866 0.0007250422 0.0006494243 0.00085626147 0.00033360836 0.00071837 0.0006405281 0.0021017327 0.0014256198 0.0012009902 0.00070724974 0.0007917639 0.00029357537 0.00048706823 0.00052042905 0.0024197728 0.00072726625 0.00046705172 0.0017414357 0.0019260324 0.0051153284 0.000596047 0.0010163935 0.0038053596 0.0019504969 0.00076729927 0.0007806436 0.0015568391 0.00032471216 0.0006738889 0.0007294903 0.019582812 0.004009973 0.0004915163 0.008402483 0.0048506656 0.0003514008 0.0006004951 0.00053154933 0.004259067 0.0004959644 0.000438139 0.00066276867 0.0027667254 0.0003936579 0.003740862 0.0022418483 0.009914841 0.002230728 0.0014167236 0.0016702659 0.006498691 0.0018081574 0.0035718337 0.045562007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073911063 6.0199058e-05 0.003008838 0.000264207 6.688784e-05 0.00023856664 1.1147973e-06 0.00018728596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012329658 1.3377568e-05 0.0007669806 2.3410745e-05 0.0 4.9051083e-05 3.2329124e-05 0.00016499001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038884133 0.000863968 0.0024737355 0.0004615261 0.00022630386 0.0001739084 0.0050422284 0.0023254673 4.1247502e-05 2.0066353e-05 0.0003043397 3.0099529e-05 1.5607164e-05 2.4525541e-05 2.3410745e-05 6.688784e-05 0.005616349 0.0007680954 0.0024625873 0.0003868347 0.0029831978 0.0036286653 0.010061046 0.0058181277 1.0033176e-05 1.7836757e-05 0.00010925014 2.4525541e-05 2.564034e-05 2.0066353e-05 1.672196e-05 1.4492366e-05 0.0068459706 0.0022641534 0.0023187785 0.0017011808 0.0003812607 0.00028538812 0.0038025738 0.0020612604 0.00024302583 6.9117435e-05 8.918379e-05 7.134703e-05 4.23623e-05 6.2428655e-05 0.00010256136 0.0002073523 0.0118023595 0.001463729 0.000935315 0.0012730986 0.0011872592 0.0010835831 0.0044090236 0.0018984999 0.00044257456 0.00049051084 0.0004615261 0.0004191638 0.00033332442 0.00030879886 0.0004637557 0.0004247378 0.014677422 0.002348878 0.002415766 0.012516945 0.0018015126 0.0017368543 0.006333164 0.0032919967 0.0016276041 0.0012675247 0.0008751159 0.0010936162 0.0011092233 0.0010545984 0.0013388717 0.0013054278 0.0030188712 0.00037234233 0.0002541738 0.00018951556 0.00044703376 0.0006856004 0.0013411012 0.0006744524 0.0007725546 8.918379e-05 8.3609804e-05 8.026541e-05 0.000341128 0.0001259721 0.00040578624 0.0002508294 0.07863558 0.019234713 0.009111239 0.01117027 0.023623671 0.027316995 0.0102093145 0.023463141 0.058160093 0.0029809682 0.0026978096 0.0039720233 0.020676147 0.006397822 0.0191734 0.03477499 0.08893631 0.029612362 0.014329606 0.017699638 0.03026452 0.04290632 0.017143354 0.035315666 0.06847754 0.005190497 0.0036955534 0.00586049 0.029905554 0.013581577 0.027984759 0.050831415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2398.0 14.261468 34199.0 0.030410245 0.0006725343 0.00061405305 0.00096494047 0.0021053248 0.0064621773 0.001081903 0.0012865873 0.060001753 0.001695956 0.000847978 0.0016374748 0.0016374748 0.0016374748 0.053071726 0.0015789935 0.007485599 0.005263312 0.006491418 0.005234071 0.005409515 0.005000146 0.004122928 0.0042691305 0.02023451 0.007251674 0.0059066056 0.009064592 0.016637914 0.0057604024 0.0044153337 0.0044445745 0.004795462 0.0042691305 0.0013450686 0.0070469896 0.0055849585 0.0040352056 0.005877365 0.0051463493 0.005555718 0.0040059653 0.013012077 0.0015789935 0.005701921 0.0042983713 0.0044445745 0.003011784 0.010526624 0.005409515 0.0051463493 0.021901226 0.00470774 0.003391912 0.007485599 0.005789643 0.0038012806 0.006549899 0.0005263312 0.0047369804 0.0015497529 0.0038012806 0.0043568527 0.020556157 0.0024854527 0.036082927 0.00804117 0.020819321 0.013538407 0.060908213 0.009269277 0.010029533 0.011257639 0.034270007 0.006491418 0.0040644463 0.024240475 0.01505892 0.035410393 0.03339279 0.016111583 0.0011403842 0.037983567 0.03248633 0.056668323 0.016140822 0.0054972367 0.006871546 0.0062867333 0.0070469896 0.003011784 0.005935846 0.0008772186 0.004386093 0.0007017749 0.000847978 5.7585573 0.0 2.0 0.0 1.0 449629.0 462848.0 1.0 475.0 67.0 1.0 1.0 0.0 0.0 0.0 1172331400.0 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 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 0.0 0.0 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 377856.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -377856.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.610365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8308496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.349727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6247683 0.0 3.2757938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11830.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32585.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -377520.0 0.0 976.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 4.0 1.0 2.0 2.0 0.0 2.0 0.0 0.0 -1.0 6.0 1.0 1.0 -4.0 -2.0 -2.0 2.0 4.0 3.0 4.0 0.0 -2.0 -1.0 2.0 1.0 3.0 -2.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 3.0 1.0 1.0 1.0 -2.0 1.0 -2.0 3.0 1.0 0.0 2.0 -2.0 -1.0 1.0 1.0 -2.0 1.0 1.0 -1.0 -1.0 2.0 -3.0 -1.0 -2.0 -2.0 0.0 -3.0 2.0 -1.0 -3.0 -1.0 -1.0 1.0 3.0 1.0 3.0 1.0 0.0 -1.0 -1.0 -2.0 -2.0 2.0 0.0 0.0 -3.0 2.0 0.0 0.0 -2.0 -2.0 1.0 0.0 4.0 2.0 0.0 3.0 1.0 3.0 3.0 -1.0 1.0 -1.0 -3.0 -2.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -2.0 2.0 2.0 -1.0 0.0 -6.0 1.0 -1.0 -1.0 -2.0 -1.0 1.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 13769.0 403840.0 80.0 402632.0 976.0 446464.0 0.0 0.0 0.0 0.0 11532.0 450560.0 28.0 385312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 385024.0 0.0 0.0 0.0 0.0


Input: 0.021333935 0.007056944 0.006230264 0.0058660777 0.0063032503 0.0050170547 0.0055678026 0.0050118417 0.0063144215 0.0047221314 0.00497088 0.004267085 0.005317564 0.004625685 0.0046387184 0.0043791705 0.006102538 0.0048956596 0.004680425 0.004169894 0.004794745 0.004193726 0.0045188125 0.0037442653 0.005122438 0.004280118 0.0042953854 0.003725274 0.0042763944 0.0040805233 0.003851138 0.0038243267 0.0063442118 0.004700161 0.0048684757 0.0042317086 0.0050174273 0.004042168 0.0042052697 0.003711496 0.0048088953 0.0039743953 0.0039393916 0.0036954838 0.0041352627 0.0036928772 0.0036507985 0.0032508639 0.0050866897 0.0042935237 0.0041151545 0.0040291348 0.004264478 0.0037345835 0.0037937916 0.0033346491 0.004137125 0.0037062827 0.0041441997 0.0031734093 0.0036161672 0.003093348 0.003222563 0.003375983 0.0067337197 0.0051782946 0.004807778 0.004404492 0.0049198642 0.0045087584 0.004598129 0.003769587 0.004773892 0.0041441997 0.0039055052 0.0035011023 0.004147551 0.0036519156 0.0035882387 0.003031533 0.0052840505 0.0043396987 0.0039382745 0.0037278808 0.004055946 0.0035945692 0.003840339 0.0032151155 0.004209738 0.0035379678 0.0034832282 0.0033949744 0.003604251 0.003126862 0.0031022849 0.0030587167 0.004916885 0.0045947777 0.0042376667 0.0038656606 0.0041605844 0.0038422009 0.0037934193 0.003157397 0.004422739 0.0037368177 0.004014612 0.003094465 0.0037941642 0.0033164024 0.003404284 0.0030252025 0.004368744 0.0035513733 0.0037275082 0.0032534706 0.0047824564 0.003672024 0.0034452456 0.0027466635 0.0036645764 0.0030400977 0.003031533 0.0026282473 0.0030970715 0.002637929 0.0028252352 0.0031302134 0.0066421144 0.005100095 0.004782084 0.0050263642 0.0048818816 0.004292034 0.004483064 0.0038377324 0.004944069 0.004426835 0.004002324 0.0046327603 0.0042689466 0.004115899 0.003901409 0.0030695156 0.0050393976 0.0041430825 0.003927476 0.0035737162 0.0040205703 0.003394602 0.0034593958 0.0029898267 0.0041017486 0.0036143053 0.0037263911 0.003127979 0.003489186 0.003249002 0.002896732 0.0025928712 0.0054478967 0.004287193 0.0042912895 0.003685802 0.0040641385 0.0034374255 0.00361505 0.0029436518 0.0043929485 0.0035037089 0.0035219553 0.003051269 0.003627711 0.0032300106 0.0030341398 0.0025712731 0.004413057 0.0037033036 0.0034389151 0.0029998808 0.0036951115 0.0030605786 0.0032367136 0.0028419923 0.0038831625 0.0030371186 0.0033141682 0.0024796682 0.0030546205 0.00257388 0.0027053296 0.002540738 0.005520883 0.0042953854 0.004322569 0.0040168464 0.0044339104 0.0035219553 0.0038332639 0.003452693 0.00432741 0.0035163697 0.003566641 0.0029756762 0.0040090266 0.0031194144 0.003141757 0.0025265878 0.0047861803 0.0036835677 0.0036262213 0.003039353 0.0038790663 0.0031775055 0.0032612905 0.0025921264 0.0039457222 0.0029738143 0.0031748987 0.002779805 0.0031964967 0.0027604415 0.002755973 0.0022744876 0.004504662 0.0037636291 0.0036351585 0.0032836332 0.0036083471 0.0030013705 0.003205806 0.002579838 0.0046122796 0.0032091576 0.0033115617 0.0029924333 0.0032024547 0.0027004885 0.0026353223 0.0021583056 0.0040432853 0.0031503218 0.0031164354 0.002722459 0.0032415544 0.002751132 0.0028561428 0.0023281102 0.0036746305 0.0028174154 0.002982379 0.0024465264 0.0033584812 0.0026509622 0.0033577366 0.0044469433 0.0007554294 1.8629578e-07 0.0 0.0 2.4218452e-06 0.0 1.8629578e-06 0.0 1.1177747e-06 0.0 0.0 1.8629578e-07 3.7259156e-07 0.0 1.8629578e-07 1.3040705e-06 0.0007280439 2.7944368e-06 5.5888734e-07 7.6381275e-06 4.2848033e-06 9.314789e-07 5.5888734e-07 1.4903662e-06 1.1177747e-06 9.314789e-07 5.216282e-06 2.2355493e-06 1.3040705e-06 2.2355493e-06 1.4903662e-06 2.2355493e-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 0.0003405487 5.4025777e-06 1.4903662e-06 7.451831e-07 5.0299864e-06 1.8629578e-06 9.314789e-07 1.8629578e-06 3.53962e-06 2.2355493e-06 6.706648e-06 1.1177747e-06 3.1670284e-06 2.2355493e-06 9.314789e-07 3.7259156e-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 0.00059540133 1.2109226e-05 1.6952916e-05 5.4025777e-06 1.1736634e-05 1.2109226e-05 7.824423e-06 1.2854409e-05 1.1550339e-05 4.8436905e-06 5.216282e-06 3.9122115e-06 5.5888736e-06 3.53962e-06 4.8250608e-05 5.7751695e-06 0.00082044664 6.147761e-06 3.3719538e-05 3.3346947e-05 4.0798775e-05 3.055251e-05 0.00011419931 5.607503e-05 5.5888734e-07 3.7259156e-07 1.4903662e-06 5.5888734e-07 1.1177747e-06 3.7259156e-07 5.5888734e-07 4.2848033e-06 0.0007647442 1.3040705e-05 5.8496877e-05 2.0119945e-05 1.639403e-05 1.3599592e-05 0.00012127856 5.73791e-05 1.9561057e-05 1.1364043e-05 7.07924e-06 1.0059973e-05 1.1177747e-05 4.4710987e-06 5.7751695e-06 1.0059973e-05 0.0009053975 1.415848e-05 8.346051e-05 5.439837e-05 9.203012e-05 6.967462e-05 0.00016654843 8.532347e-05 1.900217e-05 7.824423e-06 5.4025777e-06 5.216282e-06 4.8436905e-06 2.4218452e-06 4.2848033e-06 6.147761e-06 0.0010803293 2.8503255e-05 8.010719e-05 0.00014735997 0.00010674749 7.097869e-05 0.000340735 0.00020101316 7.097869e-05 1.6021437e-05 1.3227001e-05 1.4344775e-05 3.7445454e-05 1.0246268e-05 1.7139213e-05 5.402578e-05 0.0012194922 4.9554677e-05 0.0001549981 0.00010805156 0.00019188465 0.00015779253 0.00044487434 0.00028205183 0.00012332782 2.5895113e-05 2.0492536e-05 2.831696e-05 5.8124286e-05 1.7511804e-05 4.117137e-05 0.00012873039 0.0012528391 6.0359835e-05 0.00010209009 0.00039196634 0.00018629579 0.00011792523 0.0003720327 0.00029416103 0.00015835141 3.8749524e-05 5.1603933e-05 3.9308412e-05 9.1284935e-05 4.676024e-05 9.575603e-05 0.00013431926 0.0007967871 7.6567565e-05 8.103866e-05 6.986092e-05 8.0666076e-05 6.278168e-05 9.314789e-05 0.00010674749 0.00014177109 4.731913e-05 3.9122115e-05 3.9308412e-05 7.451831e-05 4.0426185e-05 6.445834e-05 9.314789e-05 0.0034095854 0.0005518081 0.00058608653 0.00043537325 0.00072524947 0.00079473783 0.00045120838 0.00062520866 0.0012731454 0.00016095956 0.0001766084 0.00031483988 0.00092235045 0.00021479905 0.00053914 0.0010279801 0.004136884 0.0010501493 0.00077126455 0.00075896905 0.001054993 0.0012226593 0.00066023227 0.0011691924 0.0019605767 0.00058999873 0.00032136022 0.0005167845 0.0012640168 0.00049237977 0.00094042113 0.0021668063 0.0844639 0.06871054 0.066311054 0.059105318 0.06717621 0.056985833 0.058602877 0.050724242 0.06865466 0.056469046 0.05808125 0.05002694 0.05813658 0.05109646 0.05066966 0.046330642 11960.0 6.1515884 73573.0 0.020918 0.011580335 0.011634703 0.009337665 0.011770623 0.010139589 0.009188153 0.0088347625 0.012001686 0.009595912 0.009609504 0.008386228 0.01091433 0.010030854 0.013605535 0.0070406264 0.014570562 0.011498784 0.011254129 0.010696859 0.01182499 0.009392032 0.009555136 0.00846778 0.010547347 0.009745423 0.009500768 0.0071629537 0.010302693 0.008223126 0.00755712 0.006619276 0.014665706 0.012423036 0.011675479 0.01042502 0.012450219 0.01266769 0.01007163 0.009160969 0.012001686 0.01189295 0.010642491 0.007924102 0.012572547 0.00909301 0.009704647 0.008168758 0.013197776 0.010601715 0.011158985 0.011906542 0.011131801 0.009256113 0.008902722 0.008032838 0.011390048 0.008712435 0.008929906 0.0083726365 0.0083726365 0.007570712 0.007081402 0.0074619767 0.010533756 0.015766654 0.010955106 0.011063841 0.01238226 0.017751077 0.010030854 0.00993571 0.01251818 0.0152909355 0.010234733 0.006918299 0.012722058 0.01007163 0.012124013 0.012749243 0.01371427 0.008454189 0.014516194 0.01189295 0.018158836 0.0101259975 0.008359045 0.008005654 0.0090658255 0.008100797 0.007597896 0.0058309436 0.007380425 0.0062794774 0.0065513165 0.0057901675 6.5400987 3.0 0.0 0.0 54.0 2685440.0 77824.0 0.0 0.0 119.0 1.0 1.0 0.0 0.0 0.0 856815940.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 119808.0 1024.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33792.0 -3072.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1592264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.088939 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3917053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4420505 -5.2166905 4.42992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 951.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33677.0 -3072.0 4700.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 57344.0 4700.0 61440.0 0.0 0.0 0.0 0.0 2144.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 488.0 57912.0 0.0 0.0 0.0 0.0


Input: 0.07065175 0.015205353 0.017603617 0.0129835745 0.01655646 0.011189288 0.0142484 0.009834259 0.013897386 0.009418533 0.01220507 0.008951823 0.012144281 0.008441971 0.01088926 0.009453831 0.011401073 0.007685037 0.009808767 0.0073477505 0.014295463 0.00856159 0.009049871 0.0068437816 0.009089091 0.0067810304 0.008545903 0.0063260854 0.008547863 0.00641629 0.008447854 0.00615352 0.009404806 0.006686904 0.007865447 0.0059946817 0.0081478255 0.005661317 0.007192834 0.0051416606 0.0072732335 0.0052024503 0.0067104353 0.0052024503 0.00682025 0.0049690953 0.0066280747 0.004672989 0.0065829726 0.0047749593 0.006351578 0.0052004894 0.006282944 0.0053279526 0.0060750814 0.0043592337 0.0059535014 0.004667106 0.0056279805 0.0050220415 0.0056436686 0.0041925516 0.005292655 0.00404744 0.0057221074 0.0040023373 0.005284811 0.0042474587 0.0052769673 0.0062456857 0.005533854 0.0039944937 0.00516127 0.0037552554 0.0047180913 0.0035924949 0.0046906373 0.0038062406 0.004661223 0.0035042514 0.0059652673 0.0036474022 0.0045082676 0.0044965018 0.004484736 0.0038552647 0.0050024316 0.004037635 0.0043690386 0.0034924855 0.0040219473 0.0031061748 0.0039886106 0.0034473832 0.004233732 0.0032336377 0.0037238798 0.0034140467 0.00370427 0.0029767507 0.0042553023 0.004078815 0.0037434895 0.0028198732 0.0047514276 0.0031865744 0.00465534 0.0025021962 0.0040572444 0.0028061464 0.0038787965 0.0031944183 0.0037905527 0.002268841 0.0039219377 0.0029983213 0.005422079 0.004606316 0.003214028 0.002521806 0.0030551895 0.0023178651 0.002837522 0.0020394076 0.003588573 0.0026747615 0.0028630146 0.0019786176 0.0036140657 0.0020256808 0.0025590644 0.0038631086 0.0030551895 0.0031022527 0.0024374842 0.0017923255 0.0027296687 0.0032218718 0.002968907 0.0044023753 0.002339436 0.002886546 0.0024139527 0.0016785894 0.002274724 0.0017531061 0.002264919 0.0015942677 0.0022256996 0.0015864238 0.002013915 0.001574658 0.0020041103 0.0014805315 0.0019354763 0.0014589608 0.0020041103 0.0013511076 0.0018668424 0.0013158101 0.002208051 0.0012726688 0.0017903646 0.00163937 0.0017374185 0.0013118882 0.0015668141 0.0012707078 0.0016589797 0.0012020739 0.0015923068 0.0012648249 0.0016138774 0.0010334306 0.0015472044 0.0010550013 0.0015923068 0.00101186 0.0014197414 0.0010589232 0.001445234 0.0010177428 0.00170016 0.0011118694 0.0013354198 0.0008745921 0.0013118882 0.0009412651 0.0012863956 0.00091969443 0.0012491372 0.0008549824 0.0024708207 0.001129518 0.0011961911 0.0013158101 0.0016766284 0.0007804656 0.0014373902 0.0011275571 0.0011648155 0.0010412745 0.0009804844 0.0006863391 0.00089616276 0.0006118223 0.0008392947 0.0006471197 0.0024237575 0.0034238517 0.000882436 0.0006510417 0.00084909954 0.0005569152 0.0012099178 0.00057848584 0.00088831893 0.00050396903 0.0006667294 0.0005451493 0.00079027045 0.0004608277 0.0005255397 0.0004549448 0.00095499185 0.00041180346 0.00053926645 0.00039415475 0.00063731486 0.0003529744 0.0004098425 0.000315716 0.001762911 0.0007137927 0.00037454505 0.0009961722 0.0008942018 0.0002647308 0.00036081826 0.0002451211 0.0006745733 0.00029218436 0.00024904305 0.0002274724 0.0006431978 0.00019805785 0.0005176958 0.0003039502 0.0011412839 0.00046278865 0.0002274724 0.00026865274 0.0006118223 0.0003215989 0.000378467 0.007861524 0.016096579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018656863 2.9473717e-06 6.8772006e-06 1.768423e-05 1.768423e-05 2.5543888e-05 4.322812e-05 2.3578974e-05 0.0 0.0 0.0 0.0 2.9473717e-06 9.824572e-07 0.0 4.9122864e-06 0.003607583 9.5298354e-05 2.7508802e-05 2.6526346e-05 3.7333375e-05 4.0280745e-05 6.680709e-05 4.617549e-05 1.8666688e-05 6.8772006e-06 8.842115e-06 7.859658e-06 1.1789487e-05 8.842115e-06 4.9122864e-06 8.842115e-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 0.012211944 0.00026526346 0.00053642166 0.00019649146 0.00019452654 0.00025445642 0.0012103873 0.0016043527 0.0005767024 0.00025347396 0.00018175459 0.00011298258 8.8421155e-05 0.00013754402 9.922818e-05 0.00018470196 0.006692499 0.0001355791 0.0008085623 0.0003654741 0.0006906674 0.0005757199 0.002979793 0.0016682124 4.1263203e-05 3.4386005e-05 1.3754401e-05 1.4736858e-05 1.080703e-05 1.4736858e-05 6.8772006e-06 3.143863e-05 0.0042363554 0.00013459664 0.00056884275 0.0003792285 0.0004755093 0.00040084255 0.0021898972 0.0012604926 6.484218e-05 4.224566e-05 4.322812e-05 3.536846e-05 4.0280745e-05 5.8947433e-05 3.8315833e-05 9.136852e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008734045 0.00046568474 0.0003055442 0.000264281 9.0386064e-05 9.922818e-05 0.00026722837 0.00012673698 9.0386064e-05 5.796498e-05 0.00016505281 5.3052692e-05 7.368429e-05 0.0005295444 0.0001493335 0.00041263204 0.19682156 0.12568969 0.09755702 0.08073244 0.06899208 0.057892274 0.04756174 0.04079752 0.03668299 0.027829085 0.022248726 0.017990757 0.0143261915 0.009598607 0.0062238667 0.0041862503 0.010532924 0.008325343 0.0037136883 0.00339046 0.0036341094 0.00655692 0.0033678634 0.004497689 0.0075079384 0.0004872988 0.0010522117 0.0008891238 0.0033442844 0.0048297597 0.003021056 0.00929601 0.00022301779 0.00027410558 0.0001218247 8.645624e-05 0.000116912415 9.824573e-05 7.7614124e-05 0.00010905275 0.0001630879 1.1789487e-05 5.6000063e-05 3.6350917e-05 0.000112000125 0.00024856167 9.136852e-05 0.00018568442 5409.0 6.324459 34209.0 0.020579379 0.012423631 0.01748078 0.012511328 0.016340729 0.0129498085 0.015112982 0.012189775 0.015668392 0.010494314 0.014645269 0.011634366 0.0144406445 0.010698939 0.015580695 0.009792744 0.014645269 0.011371276 0.014352948 0.011020492 0.013709842 0.01043585 0.014089859 0.009968137 0.013768307 0.010728171 0.012599024 0.010757403 0.013563682 0.008711158 0.011546669 0.00859423 0.011751293 0.009968137 0.011663597 0.009617352 0.011546669 0.01213131 0.012745184 0.00944196 0.012423631 0.008711158 0.010552779 0.008126517 0.0105235465 0.007921892 0.010231226 0.008477301 0.011868222 0.0076588034 0.011166652 0.010728171 0.011575901 0.007921892 0.011108188 0.009675817 0.009500423 0.0073080184 0.0092958 0.005963343 0.008681926 0.00803882 0.008535765 0.007132626 0.008477301 0.010874331 0.008828086 0.008711158 0.011078956 0.018357743 0.008155748 0.006284896 0.009675817 0.010552779 0.006781841 0.0057879505 0.011955918 0.007629571 0.011605133 0.010698939 0.0100558335 0.0049694525 0.012862112 0.008564997 0.016165337 0.008126517 0.0073372503 0.005086381 0.0068403054 0.005612558 0.0066649127 0.005466398 0.006431056 0.004764828 0.00634336 0.004852524 6.5197134 2.0 0.0 0.0 8.0 509952.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 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 -2.518885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557308 0.0 2.224369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.21862517 0.021642374 0.005973305 0.004931702 0.0046593267 0.0069068377 0.0040822914 0.003151639 0.0072813723 0.0018268985 0.004631134 0.0020504675 0.0029016964 0.0032509186 0.0014055282 0.015582977 0.009069317 0.0025930956 0.0013151912 0.0012209134 0.0018268985 0.0033929416 0.0013852175 0.0024343997 0.0036883557 0.0023025319 0.0011383066 0.0014719167 0.0015443682 0.0010355406 0.0010109859 0.0016706277 0.011567832 0.0012906365 0.0018043143 0.0012221258 0.016629886 0.0014121974 0.0009444458 0.0009773369 0.0057557994 0.0013112503 0.0009517213 0.0016879069 0.0012962447 0.0013024592 0.0013833987 0.0012197008 0.0061797462 0.0013295906 0.0015375474 0.0044562197 0.001921328 0.0009306527 0.001022657 0.0008883641 0.0048346953 0.0012325844 0.0014722198 0.0025376203 0.001800525 0.0032860832 0.0013871879 0.0022540288 0.009324413 0.010030133 0.0034432635 0.0023890794 0.010494094 0.006947459 0.0011909021 0.0013315609 0.057820667 0.00531336 0.0011514933 0.0013503559 0.007839309 0.0039567896 0.0016286423 0.0016250046 0.007962992 0.0026532698 0.0018441778 0.0021071555 0.0025518679 0.003197262 0.0019637682 0.002292225 0.0031448181 0.0015325455 0.00088927353 0.0014393288 0.003415829 0.0022547867 0.0014406928 0.002494119 0.0033206416 0.001984079 0.0006787399 0.0021495956 0.0020932108 0.0030212868 0.0033241278 0.000960664 0.002371194 0.0018312942 0.00045926348 0.00072451466 0.0041879374 0.0012209134 0.0022405388 0.0021170075 0.0043069213 0.00053383695 0.0023954455 0.0017489905 0.010641423 0.0034517515 0.00085562456 0.000890183 0.002355279 0.0011557373 0.000613867 0.0007292134 0.0016688089 0.0010823765 0.0009470225 0.0039930157 0.008941845 0.0020562273 0.00054399227 0.012074688 0.0030885849 0.0070036924 0.0006937455 0.00092352886 0.0028571342 0.01350462 0.0022640326 0.036450516 0.0016635038 0.014569566 0.0007769586 0.000728304 0.0066588656 0.00042576605 0.00048715275 0.0011013229 0.00089139555 0.00079408626 0.00039742206 0.00052640995 0.0015016248 0.00056384824 0.00034073408 0.00042758492 0.0008162158 0.00043774024 0.00037908184 0.0004883653 0.0022411451 0.0007243631 0.00068722793 0.0007396719 0.00085456355 0.0008021196 0.0007195128 0.0008384969 0.0018608507 0.00073391217 0.00079408626 0.000733609 0.000854412 0.0007331543 0.00071314676 0.0021097322 0.0022766131 0.00046487164 0.0011255745 0.000450927 0.0005940111 0.00043728552 0.0012754793 0.0011833234 0.002031824 0.0017030642 0.001841298 0.0005776413 0.0006473645 0.00050503825 0.0012215195 0.0009148892 0.007980119 0.004281609 0.0024189393 0.0043921047 0.0035223842 0.0010558513 0.0034503874 0.0046699364 0.004685397 0.0029459554 0.00091109995 0.0019154167 0.014312954 0.0007345184 0.001541943 0.0021195842 0.0032093879 0.00092928857 0.0016190932 0.001066916 0.0006584292 0.00055126776 0.000953237 0.0009494477 0.0022394778 0.001021596 0.0007727146 0.0010822249 0.00059204065 0.0005320181 0.000519286 0.0006466066 0.0026834325 0.0007139046 0.0006569135 0.0006828323 0.0006993537 0.000510798 0.0006428173 0.00061310915 0.012205041 0.0035173823 0.0015751374 0.00279984 0.0028353077 0.0007313354 0.00055141933 0.00069298764 0.0043364777 0.0008832107 0.0030567546 0.0015599801 0.0009464162 0.0005967394 0.0014893475 0.0010522136 0.00430101 0.001510416 0.0010076513 0.0007055682 0.0019061709 0.0007687737 0.0017921886 0.03501725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017455618 1.4327768e-05 0.00018671584 0.00017557201 0.00011280275 0.00011932226 1.7587525e-05 8.717954e-06 1.9331115e-05 8.338913e-06 7.58083e-06 1.1295437e-05 7.959871e-06 1.2432561e-05 1.5540701e-05 2.09989e-05 0.016536519 0.00022067796 0.0013108772 0.00086550333 0.000992179 0.0009332002 0.00028746508 0.00015078271 0.00020551629 0.00015411827 0.00014540032 0.00017951406 0.00016594437 0.00014479386 0.00012296106 0.00071760133 0.03258688 0.0009693607 0.0014804603 0.000496696 0.0013519652 0.0020656246 0.0012522015 0.0006626403 0.00045735147 0.00092486123 0.00029534913 0.0003500069 0.0003095253 0.00029618302 0.00027950518 0.00077968836 0.0088882195 0.0001306935 0.000518832 0.00030520422 0.00076217664 0.00055506837 0.0017403311 0.00081903284 0.0002494093 0.00010362994 0.00010370575 3.8434806e-05 3.820738e-05 3.866223e-05 2.9716854e-05 0.00027268246 0.024808569 0.00090727373 0.0011453875 0.00088483444 0.001205731 0.00091417227 0.00349029 0.0018781506 0.003227311 0.0005805399 0.00033090322 0.0004318799 0.00030960108 0.0005418019 0.0003161206 0.0007911354 0.028565098 0.002175395 0.0019523669 0.0024762023 0.0019496378 0.0013571201 0.004201296 0.002251279 0.0018174282 0.0005989614 0.0008368478 0.00060980197 0.0005294452 0.000597142 0.00061526016 0.002564064 0.039526448 0.004482772 0.0035283456 0.004472993 0.004533867 0.002695364 0.005385573 0.0034239576 0.0020815444 0.0009548813 0.0014399786 0.0012542483 0.0009422213 0.0009820207 0.0009656461 0.0067022876 0.016223582 0.0023787885 0.002479917 0.0023004785 0.0021462087 0.0017152386 0.0018805765 0.0016369285 0.0018542709 0.0009371422 0.006594488 0.0010625292 0.0011577443 0.0009451021 0.0010246249 0.003791552 0.016075453 0.0016019051 0.0027975535 0.0029549317 0.006318167 0.003064778 0.0019813257 0.0015285227 0.0063309786 0.0010122682 0.00078704173 0.0011532716 0.0034917302 0.0010984623 0.0020837428 0.0026802782 0.103729025 0.018924631 0.028939059 0.017137451 0.0867325 0.02237391 0.009759258 0.019509342 0.075049534 0.008614628 0.0043144017 0.009759106 0.043993905 0.00992505 0.021159839 0.033663206 0.019867005 0.0051450334 0.006273061 0.0046752496 0.019592276 0.0052476022 0.002524189 0.0053557046 0.016723765 0.0022177717 0.0011462973 0.00227061 0.009872742 0.002615917 0.0053680614 0.008788304 0.00035720872 0.00014547612 0.00013865338 0.00031733353 0.00016238137 0.0001406244 0.0001462342 0.00013516619 0.00014358091 0.00012857087 0.00013395326 0.00012576596 0.00012553854 0.00014168571 0.00013137578 0.00016579275 18952.0 11.90001 225529.0 0.07254499 0.0003813257 0.00058972463 0.0004300999 0.036749154 0.0035339135 0.0003414195 0.00079812354 0.015944734 0.0030417375 0.00031481538 0.0020618192 0.0014011501 0.0010730327 0.008841435 0.0008868039 0.017376922 0.010419946 0.0066465954 0.0071831117 0.003600424 0.0019687046 0.0022436138 0.0012149214 0.00407043 0.0049040257 0.004708929 0.004265527 0.0009710503 0.0013257718 0.00079812354 0.010109564 0.037400953 0.074340776 0.004558172 0.0130626215 0.023899365 0.013545929 0.003915239 0.0033255147 0.02640902 0.0081852 0.005648941 0.0008735019 0.010734761 0.0055203545 0.0023500305 0.003356553 0.014148956 0.0007094431 0.009612954 0.011643736 0.012375348 0.014499244 0.03043511 0.019753557 0.0018534202 0.0016051151 0.00047000608 0.0030816435 0.0076442496 0.010521929 0.015585579 0.021269992 0.0037024063 0.024657583 0.0046512866 0.015057931 0.016889181 0.041493554 0.019656008 0.0064648003 0.0050060083 0.02039649 0.0005187803 0.002722488 0.016720688 0.007449153 0.019483082 0.023189923 0.010597307 0.0007094431 0.03023558 0.013133566 0.034168556 0.012481765 0.0034762714 0.0032811745 0.0042211865 0.0075200973 0.0009710503 0.0003414195 0.0043763774 0.0006384988 0.0009444462 0.0017647397 5.7271256 1.0 20.0 0.0 27.0 6597520.0 6836224.0 1.0 1.0 345.0 1.0 1.0 1.0 1.0 0.0 1540560400.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 4268544.0 1024.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -76800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1863680.0 0.0 -5120.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4271616.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -5.4540653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7484393 0.0 -5.854958 0.0 0.0 6.279946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8807716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.353953 0.0 3.5245092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -76488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1863674.0 0.0 -4896.0 0.0 0.0 204708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -379788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4270987.0 0.0 16184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 -2.0 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 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 2.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 80.0 6130496.0 140.0 6130576.0 16184.0 6742016.0 204708.0 6520832.0 7056.0 6590464.0 76488.0 6758400.0 112.0 5117760.0 0.0 0.0 0.0 0.0 40.0 5117872.0 148.0 4359056.0 0.0 0.0 2808.0 4276224.0 384.0 6126544.0 0.0 0.0