Input: 0.20255725 0.0067709666 0.0043160664 0.0038562724 0.00636115 0.0031505886 0.002334954 0.0021190506 0.010203429 0.0017911976 0.0025168725 0.001359391 0.0045859455 0.002662807 0.0014333578 0.00651708 0.004667909 0.0011634787 0.0012194536 0.0011174993 0.0026248242 0.0019171411 0.0014913318 0.004675905 0.0059393393 0.002089064 0.0013533937 0.0013334026 0.001971117 0.0011194985 0.001149485 0.0015033265 0.0131860925 0.0013733847 0.0016832459 0.0016372665 0.0033405034 0.001379382 0.0016812468 0.0012934206 0.0023129638 0.0011934653 0.0012794269 0.0021190506 0.0018291805 0.001991108 0.0013893775 0.00070568384 0.0035104274 0.0017152316 0.0020790687 0.0044879895 0.0018751599 0.0013953749 0.0011614796 0.0012614349 0.0020570785 0.0019471276 0.00147334 0.0033265096 0.0018131877 0.0021710275 0.0015213185 0.0020051016 0.0034604496 0.0025548553 0.001779203 0.006219214 0.0058513787 0.006625032 0.0023749361 0.0013713856 0.0019571232 0.0017332236 0.0013234072 0.0011374904 0.0021530355 0.0034784416 0.0020610767 0.0012734295 0.008808054 0.0022469934 0.0020810678 0.0027647614 0.0029026996 0.0029746674 0.0034044748 0.0027127846 0.0013234072 0.0030946136 0.0008436221 0.0017772039 0.0012234519 0.0030706243 0.00229897 0.002067074 0.0047558695 0.003790302 0.0011934653 0.002316962 0.0038622697 0.0057334313 0.003140593 0.0012534384 0.0030046538 0.0028027443 0.0036703558 0.0011414887 0.0023929279 0.0017072351 0.0029546763 0.0032485446 0.0023869306 0.0011354913 0.0038122921 0.003966223 0.008838041 0.008570161 0.0016052808 0.0013134116 0.007774517 0.0014333578 0.0050417413 0.00074366684 0.003890257 0.0021010588 0.001819185 0.0016572576 0.002908697 0.0020990595 0.0014033713 0.007948439 0.002296971 0.0072027734 0.0008756077 0.00079564354 0.0019171411 0.0061112624 0.0014633444 0.021122538 0.0009975531 0.0055015353 0.0007256749 0.00071767846 0.00493379 0.0007836489 0.0009275844 0.0011734742 0.0016232728 0.0012514393 0.001035536 0.00089359964 0.001397374 0.001857168 0.001647262 0.0018511707 0.002296971 0.0021270472 0.0017672083 0.0018031922 0.0017192297 0.0015413095 0.0007336713 0.0010495298 0.001051529 0.000881605 0.00087760686 0.00087160955 0.0015992835 0.0014713409 0.0011534833 0.001399373 0.0016792477 0.0014653435 0.0014473515 0.0014393552 0.0020350884 0.0015013274 0.0014473515 0.0014393552 0.0015333131 0.0013174098 0.0019651197 0.001705236 0.0022369977 0.001455348 0.0018411751 0.0015932862 0.0023909288 0.001493331 0.0021750256 0.0017072351 0.00698687 0.003926241 0.0033445016 0.004733879 0.0034764425 0.0021970158 0.00339248 0.0035144256 0.0032045643 0.0031066083 0.0016092791 0.0019091447 0.008132357 0.0013034161 0.0016772486 0.0015792925 0.0024029235 0.0024089208 0.0030346406 0.0029586744 0.00350443 0.004006205 0.0047818576 0.004957779 0.0059653274 0.0050277477 0.0038582715 0.0037243315 0.004020199 0.0038542734 0.0034024757 0.0035564068 0.005127703 0.004238101 0.0045079803 0.0040461873 0.004348052 0.0036163798 0.0028807095 0.0022949718 0.013753838 0.0036683567 0.0022909737 0.0046439194 0.0044100243 0.0017152316 0.0017172307 0.0016332683 0.003968222 0.0017832011 0.0015692969 0.0016552585 0.0022949718 0.0011874681 0.0025548553 0.001647262 0.0037843047 0.0017532145 0.0013453972 0.0011514841 0.0035923906 0.0019451285 0.015642991 0.07192378 0.008213553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037909474 0.00015540779 0.0 2.0052619e-06 0.0 0.0 0.0 5.0131544e-05 1.0026309e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00010728151 0.005557583 5.7149962e-05 5.1134175e-05 6.0157854e-06 3.0078927e-06 4.7123653e-05 0.0 2.0052619e-06 5.0131544e-05 0.0 0.0 0.0 8.4221e-05 0.0 3.0078927e-06 0.000298784 0.010482506 0.00023160774 2.4063142e-05 1.0026309e-05 8.021047e-05 1.9049987e-05 1.6042095e-05 0.00013836306 2.3060511e-05 2.3060511e-05 1.7044726e-05 6.0157854e-06 0.0001784683 6.0157854e-06 1.4036833e-05 0.0010507572 0.002884569 0.0009103889 5.8152593e-05 2.5065772e-05 3.0078927e-05 2.8073666e-05 2.105525e-05 1.3034201e-05 2.9076296e-05 6.0157854e-06 1.0026309e-05 1.9049987e-05 1.4036833e-05 1.3034201e-05 2.9076296e-05 1.6042095e-05 0.008649697 0.002653964 0.00041709444 0.00016042094 0.00015340252 0.00011730781 0.00039804447 7.619995e-05 0.00014337622 0.00012933939 9.926046e-05 7.0184165e-06 0.00012833676 0.0037628738 1.6042095e-05 0.0015681147 0.007878673 0.0010196756 0.00036295239 8.4221e-05 0.00039202868 0.00013435254 0.00064168376 0.00035894188 2.6068403e-05 2.8073666e-05 3.408945e-05 2.9076296e-05 0.000105276245 0.0037588633 1.4036833e-05 0.001559091 0.009901983 0.00010427361 0.0005364075 4.9128914e-05 0.0010607835 0.00024263668 0.0016784042 0.001290386 0.0002757235 0.00018949724 9.2242044e-05 2.8073666e-05 0.00019250513 0.0021857354 0.0015310174 0.0032284716 0.0118210185 0.00045218653 0.00049128913 0.0001945104 0.0007730284 0.00052437594 0.0017927041 0.004982073 0.0005073312 0.00020253145 0.00015641042 0.00015841569 0.00012532886 0.0068870718 0.0064328797 0.0076199947 0.019982435 0.0018628882 0.0038230317 0.0010437388 0.003381874 0.0020453671 0.0070795766 0.0083509125 0.00093645725 0.0019330723 0.0015009384 0.00085825205 0.0020423592 0.009937075 0.005690933 0.009613225 0.021437252 0.002868527 0.0014658464 0.0005855365 0.0029697928 0.0010437388 0.0038009738 0.0055014356 0.00092843623 0.003561345 0.0011831045 0.0029938559 0.002781298 0.007197887 0.0070234295 0.0106329005 0.01963452 0.0020894827 0.0047554784 0.010080451 0.0024995587 0.0018839434 0.0042822366 0.0053500384 0.0015881674 0.0063055456 0.0040426077 0.0058122515 0.008084213 0.009904991 0.009151013 0.017471846 0.027230453 0.0032405031 0.008009016 0.0026860482 0.0039754314 0.003110161 0.0048206495 0.003968413 0.0044516814 0.0024404037 0.0032114268 0.005516475 0.004568989 0.0034711082 0.005587662 0.012274208 0.04509834 0.0064038034 0.007604955 0.0059315646 0.010790314 0.0106950635 0.007072558 0.009855862 0.020272193 0.0027562324 0.0030730637 0.004563976 0.012967026 0.0040907343 0.009644306 0.01987816 0.051469054 0.010311056 0.007866642 0.009618239 0.016139349 0.019914255 0.011828037 0.013303909 0.030749688 0.0065371534 0.004338384 0.0051765833 0.01897078 0.007879676 0.016326841 0.028297251 0.007534771 0.0030419822 0.0029788164 0.0028775507 0.0031793425 0.003876171 0.0035994449 0.0029587639 0.0042601787 0.0032986556 0.0026399272 0.0026740166 0.00398245 0.002501564 0.0035944318 0.0044968 2094.0 15.031041 31475.0 0.15161239 0.0013026211 0.0015250199 0.001683876 0.0051787132 0.00082605245 0.0010802224 0.004733916 0.006290707 0.0036854646 0.0010484512 0.0013979349 0.008514694 0.0019062748 0.009849086 0.0013661636 0.008927721 0.006322478 0.0058459095 0.005115171 0.006544877 0.004733916 0.0038760921 0.005019857 0.007212073 0.0054646544 0.005655282 0.0066401907 0.006544877 0.007720413 0.0054328833 0.005528197 0.008705322 0.010420969 0.0042891186 0.010007943 0.0081652105 0.012263701 0.004416203 0.0044479747 0.0041620336 0.012708499 0.0020333598 0.0010802224 0.014233518 0.005401112 0.010293884 0.007021446 0.014932486 0.0024146147 0.012899126 0.011787132 0.022081017 0.005051628 0.0052104844 0.0062589357 0.0038125496 0.0025099285 0.0014297061 0.004892772 0.0021286735 0.005051628 0.0020015885 0.0060047656 0.0045750597 0.037839554 0.007466243 0.016552819 0.028943606 0.062494043 0.0059412234 0.008260524 0.0062589357 0.023796665 0.0045750597 0.003494837 0.017696586 0.012962669 0.026052423 0.033677522 0.010897538 0.0022557585 0.032025415 0.03164416 0.04619539 0.017633041 0.0053693405 0.0036854646 0.005242256 0.007021446 0.0020333598 0.0014932486 0.0026687847 0.0016521049 0.0012708498 0.0016203336 5.630991 1.0 0.0 0.0 4.0 500224.0 557056.0 1.0 0.0 127.0 1.0 1.0 0.0 1.0 0.0 1479120600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 212992.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -214016.0 0.0 178176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6298585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.607675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1342793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.718838 0.0 5.8864374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -213773.0 0.0 177944.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 305308.0 177944.0 364544.0 0.0 0.0 0.0 0.0 9748.0 544768.0 84.0 296560.0 0.0 0.0 0.0 0.0 24.0 296740.0 64.0 296648.0 0.0 0.0 528.0 217088.0 0.0 0.0 0.0 0.0


Input: 0.21498077 0.0050480356 0.0035784903 0.0027993897 0.0038175937 0.00279133 0.0015232763 0.001585067 0.0046611717 0.0017167082 0.002622077 0.00111492 0.002936404 0.0025280477 0.00094566715 0.0029337173 0.0034575954 0.0010450697 0.0011928302 0.00095372676 0.0016414847 0.006017882 0.0008193991 0.000644773 0.0013647696 0.000964473 0.0006662655 0.0008005932 0.0011525318 0.00082745875 0.0006582058 0.00082477217 0.009588312 0.000765668 0.0011229797 0.000741489 0.002248646 0.0011122335 0.00063134026 0.0007952201 0.0016683502 0.0009188016 0.0012411881 0.0014426797 0.0012438747 0.000668952 0.0013432772 0.0004996991 0.003882071 0.0012438747 0.001139099 0.0026838677 0.0011605915 0.0010289503 0.0010235772 0.00082477217 0.0013217847 0.0013217847 0.0009134285 0.0019638713 0.0011471587 0.001585067 0.0008946226 0.0009188016 0.0028477476 0.0016468578 0.004099682 0.0020767064 0.0024313317 0.0048196786 0.0052710194 0.0011498453 0.0015528284 0.0017086485 0.0010799948 0.00068507134 0.0019101402 0.002490436 0.014090978 0.052898254 0.0040835626 0.0050587817 0.0016790965 0.0023077503 0.0023776006 0.0064960886 0.0024850627 0.0019235729 0.0008999957 0.002272825 0.00062596716 0.0011820839 0.01330919 0.053787503 0.0014050679 0.0012626805 0.0010880545 0.0040083393 0.0046719178 0.0017408872 0.0037719223 0.006968922 0.0035355056 0.0011713377 0.0032829694 0.0035462517 0.0032399846 0.0013405907 0.007342353 0.0027644644 0.004486546 0.0029525233 0.0019450653 0.0006904445 0.015622313 0.05476541 0.006415492 0.0054214667 0.0012008898 0.0009617864 0.0010531293 0.0009913385 0.0006770117 0.0005964151 0.000916115 0.0015662612 0.00092148816 0.00082477217 0.002200288 0.0012976057 0.0009349209 0.004808932 0.0014964108 0.0037155047 0.000644773 0.0005588033 0.0012492478 0.004365651 0.0011041738 0.015146793 0.0008435781 0.0041775918 0.00075223524 0.00075223524 0.0018241704 0.0005937285 0.000741489 0.0009779058 0.00069850415 0.00063134026 0.0005883554 0.0008193991 0.001133726 0.0010799948 0.0006205941 0.000518505 0.00068507134 0.00053731084 0.0008865629 0.0004916394 0.0009617864 0.0011847705 0.00090268225 0.00095372676 0.00090805534 0.0052549 0.000765668 0.00092148816 0.0012089495 0.0007199966 0.000765668 0.0006367134 0.00065551925 0.00063134026 0.0007683545 0.0004594008 0.0010934277 0.0004835798 0.0005292512 0.0005131319 0.00060447474 0.00075492176 0.0006716386 0.00090268225 0.0013405907 0.0011847705 0.00062865374 0.0007468621 0.0009429806 0.00062865374 0.00066089234 0.0019128267 0.0033958047 0.0014426797 0.0015259628 0.002243273 0.0012277553 0.0006877579 0.0013164117 0.0016361116 0.0013190982 0.0010504427 0.0007952201 0.00072805624 0.0061683287 0.00057492265 0.0007629814 0.00079790666 0.002084766 0.0060232547 0.00082745875 0.0007388024 0.0009913385 0.0004594008 0.00079790666 0.00060447474 0.0012949192 0.0006474596 0.00065551925 0.00075760833 0.0010961142 0.0004647739 0.00046746046 0.0026140173 0.012065316 0.00045671425 0.0006904445 0.0004889529 0.0014131275 0.00092686125 0.00060447474 0.00043790837 0.010988007 0.0017086485 0.00067432516 0.0019181998 0.0019665577 0.0005211915 0.00056148984 0.0006125344 0.001880588 0.0008059663 0.00062596716 0.0006823848 0.0012062629 0.00055611675 0.00135671 0.0010155175 0.0021411837 0.0008408915 0.00083283184 0.0016414847 0.002699987 0.001386262 0.021406464 0.1104147 0.016574586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026302442 9.441903e-06 6.744216e-06 8.0930595e-06 1.7534961e-05 8.0930595e-06 2.4279178e-05 1.2139589e-05 2.5628022e-05 5.395373e-06 2.6976866e-06 2.6976866e-06 1.3488433e-06 2.6976866e-06 2.6976866e-06 2.6976866e-06 0.0025668486 8.0930595e-06 8.0930595e-06 0.0001092563 8.0930595e-06 4.0465297e-06 4.0465297e-06 6.744216e-06 5.395373e-06 5.395373e-06 6.744216e-06 5.395373e-06 5.395373e-06 5.395373e-06 6.744216e-06 6.744216e-06 0.0022498704 1.6186119e-05 0.0 1.3488432e-05 0.0 0.0 0.0 1.2139589e-05 2.2930335e-05 0.0 0.0 0.0 2.1581493e-05 0.0 1.6186119e-05 0.00041004835 0.0023105685 7.688406e-05 7.688406e-05 1.4837276e-05 6.879101e-05 3.372108e-05 5.530257e-05 4.0465296e-05 9.441903e-06 1.6186119e-05 1.7534961e-05 4.0465297e-06 4.0465297e-06 4.0465297e-06 5.395373e-06 2.4279178e-05 0.017178867 0.00020772185 0.00011060514 9.576787e-05 0.00082144554 0.0007000496 0.00018479153 0.00077558483 0.00013488432 4.181414e-05 4.3162985e-05 3.5069923e-05 0.00012139589 2.1581493e-05 0.000113302835 0.0015134021 0.0019221016 0.0 2.2930335e-05 9.441903e-06 0.00019827996 0.00019288459 2.4279178e-05 0.0002185126 9.441903e-06 0.0 0.0 1.0790746e-05 2.6976866e-06 0.0 5.395373e-06 0.00014567508 0.022438006 0.00022255913 0.00031023394 0.00016455888 0.0033923406 0.0031441536 0.0007728872 0.0034395503 0.00016051234 6.879101e-05 8.227944e-05 5.530257e-05 0.000103860926 7.283754e-05 9.8465556e-05 0.004147693 0.021534283 8.9023655e-05 0.00021716376 0.00013353548 0.0068791006 0.0067050997 0.0004113972 0.006876403 0.0001308378 8.9023655e-05 3.9116454e-05 9.0372494e-05 7.553522e-05 0.00029404782 0.0004869324 0.011196747 0.034949876 0.00053549075 0.0017710312 0.0013947039 0.036885466 0.036375605 0.0060198875 0.037168723 0.00045321134 0.00051660696 0.0007836779 0.0005489792 0.0004181414 0.002193219 0.0028797803 0.04981278 0.023441546 0.00096577173 0.0024710807 0.00083763164 0.014641693 0.013816201 0.008818737 0.013539689 0.0010574932 0.001385262 0.0017534962 0.0011195398 0.00067577045 0.0022255913 0.0028109893 0.020936744 0.019747065 0.0010143301 0.002562802 0.004577974 0.009932881 0.009462135 0.007908268 0.008892924 0.0012180054 0.001402797 0.0014014482 0.0013002849 0.0010993072 0.0040640645 0.0054601175 0.013878248 0.0069640777 0.0004586067 0.0012072147 0.00071218924 0.0043823915 0.004200298 0.0028622453 0.0040573203 0.0015687047 0.0012314939 0.0008254921 0.0010494001 0.0006690262 0.002212103 0.0015983792 0.0074375216 0.026507467 0.00370797 0.0066727274 0.0043662055 0.008423526 0.0075751035 0.014440715 0.0074793356 0.01062214 0.0022728008 0.0018681479 0.002159498 0.004819417 0.0021864749 0.005248349 0.013197082 0.029354876 0.0073957075 0.005462815 0.0057298862 0.009591624 0.010101487 0.0063382145 0.007545429 0.0170831 0.0022728008 0.0037416911 0.003922436 0.009285437 0.0037578773 0.008880784 0.015944676 0.022440705 0.0083898045 0.0051943953 0.0049785804 0.0059052357 0.009244972 0.008227943 0.0048126727 0.011724145 0.0035649927 0.0072028227 0.0033410846 0.008472084 0.0035649927 0.008562457 0.011444935 1768.0 13.390271 23674.0 0.10589676 0.0009715299 0.0016473769 0.0011404917 0.002154262 0.0014784151 0.00071808737 0.004773169 0.006167103 0.0034637155 0.0019008195 0.0011404917 0.007518797 0.0023232237 0.009461856 0.0013516939 0.008236884 0.0054490156 0.0057024583 0.0043507647 0.0029145898 0.0029145898 0.0046464475 0.0029990708 0.0033369942 0.0029145898 0.0027878685 0.0030413112 0.003505956 0.0067162286 0.0032525132 0.0027878685 0.0062938244 0.008659288 0.0029568302 0.010348906 0.007983441 0.014868632 0.0039706007 0.0046464475 0.0029145898 0.0136859 0.0019430598 0.001562896 0.013263496 0.0058291797 0.019261638 0.030497592 0.011658359 0.0016473769 0.014066064 0.011447157 0.02057109 0.005744699 0.0056179776 0.0068007098 0.0016473769 0.002238743 0.00071808737 0.005280054 0.0091239335 0.027118357 0.001182732 0.004688688 0.0029990708 0.039621525 0.005786939 0.016811691 0.028343331 0.06399426 0.0068851905 0.0091239335 0.0075610373 0.024879614 0.0039706007 0.0029568302 0.019219397 0.015206556 0.030708794 0.031553604 0.012334206 0.0019008195 0.03979049 0.051533327 0.046548955 0.017234096 0.0041395626 0.0038861197 0.0027878685 0.0060403817 0.0013516939 0.0008870491 0.0015206556 0.0019853003 0.0013516939 0.001182732 5.633338 1.0 0.0 0.0 4.0 372224.0 446464.0 1.0 0.0 102.0 1.0 1.0 0.0 0.0 0.0 1288953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 129536.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129536.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1330686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2957926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.82171 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.852361 0.0 3.6791267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7698.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40012.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129199.0 0.0 163448.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 172764.0 163448.0 274432.0 0.0 0.0 0.0 0.0 3740.0 438272.0 28.0 135664.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 170080.0 0.0 0.0 428.0 135168.0 0.0 0.0 0.0 0.0


Input: 0.34335214 0.013102214 0.0054343897 0.006492332 0.009277344 0.0034541378 0.0033456308 0.0026041667 0.013111256 0.0020797164 0.0026584202 0.0017270689 0.007848669 0.0024504485 0.0015733507 0.0050907843 0.009250217 0.004385489 0.001808449 0.0011212385 0.00426794 0.005904586 0.001030816 0.0008770978 0.0034541378 0.0008409288 0.0008770978 0.0011574074 0.0023328993 0.0011393229 0.0007866754 0.0010036892 0.0075683594 0.00074146414 0.00045211226 0.0013020834 0.0072157118 0.0015281395 0.00080475985 0.00045211226 0.0020525898 0.0009132668 0.0007324219 0.0013925058 0.0010941117 0.0015914352 0.0016004774 0.0015100549 0.0038429543 0.00213397 0.0014467592 0.0051812064 0.0020978008 0.0018988715 0.0019079138 0.0012568721 0.002613209 0.0024233218 0.0016818576 0.0050365306 0.001916956 0.0021610965 0.0009765625 0.0012568721 0.011212384 0.0116554545 0.0012568721 0.0021249277 0.0041956017 0.009159795 0.0034541378 0.002242477 0.0017722801 0.0013472945 0.0007143374 0.0006600839 0.0018265336 0.0043945312 0.0012026186 0.0013744213 0.0081832325 0.0026765047 0.0016547309 0.004539207 0.001844618 0.0034903067 0.006013093 0.005190249 0.0012568721 0.002721716 0.0004159433 0.0020073785 0.0012568721 0.0019802516 0.0037615742 0.0029748988 0.0011212385 0.0045844186 0.0008951823 0.0019983363 0.0027398004 0.0083550345 0.0026765047 0.0013653791 0.004638672 0.003969546 0.0052535445 0.0006781684 0.0037434895 0.00213397 0.003535518 0.0037525317 0.0027759692 0.000479239 0.0054615163 0.0034812645 0.01473886 0.012451172 0.0018536603 0.0012387877 0.00213397 0.0011483652 0.00043402778 0.00033456308 0.0026312934 0.002323857 0.0011212385 0.0007052951 0.003951461 0.0020525898 0.00043402778 0.009666161 0.0019802516 0.0074598524 0.00037073207 0.00028935185 0.0021972656 0.00906033 0.0017722801 0.026168259 0.0009765625 0.009205006 0.00074146414 0.00081380206 0.0017541955 0.00047019677 0.0003616898 0.00027126737 0.00062391494 0.0004973235 0.0002983941 0.00017180266 0.0005244502 0.00034360532 0.00025318286 0.00022605613 0.0006781684 0.00042498554 0.0003616898 0.0003797743 0.0017541955 0.0014558015 0.0002803096 0.00096752023 0.000922309 0.0010127315 0.00037073207 0.00061487267 0.0010036892 0.000479239 0.0008951823 0.0006419994 0.00043402778 0.0001808449 0.0003797743 0.000479239 0.0012297453 0.0003616898 0.00031647857 0.00024414062 0.0007866754 0.0005967882 0.0010489004 0.0004611545 0.001401548 0.0007957176 0.0012478299 0.00088614004 0.0007143374 0.0008499711 0.0008770978 0.0010850695 0.008101852 0.0028573496 0.003056279 0.004005715 0.0019259983 0.00033456308 0.0018355758 0.002947772 0.0015914352 0.002504702 0.0006962529 0.00048828125 0.0020525898 0.00031647857 0.00094943575 0.0013292101 0.0013111256 0.0016456887 0.0010579427 0.0008770978 0.0007776331 0.00034360532 0.0007776331 0.0005787037 0.0016637732 0.00081380206 0.00047019677 0.0012116609 0.00096752023 9.042245e-05 0.00033456308 0.00027126737 0.0016728154 0.0007143374 0.0005334925 0.00028935185 0.0009765625 0.00025318286 0.0005244502 0.0003978588 0.009069372 0.0017541955 0.00037073207 0.0041413484 0.004014757 0.00043402778 0.00044307002 0.00044307002 0.0024866175 0.0011483652 0.0007233796 0.0015100549 0.0020345051 0.00027126737 0.0020073785 0.0025679977 0.004747179 0.0016908998 0.00094943575 0.0018265336 0.0052535445 0.0016908998 0.0025589555 0.03881836 0.07476635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049216013 0.00029205607 0.000606929 0.00037876022 0.0013507593 0.00034681658 0.0013872663 0.000812281 0.0002509857 0.00015059141 0.00017797167 0.00015515479 0.00022360543 0.0002692392 0.00010495765 0.00035137997 0.030542677 0.002363829 0.0007894641 0.00037876022 0.00045177425 0.00025554906 0.0007712106 0.0004015771 0.00029661946 6.3887266e-05 0.000109521025 4.1070387e-05 4.5633762e-05 7.7577395e-05 5.932389e-05 0.00073470356 0.021630403 0.00031030958 0.00034225322 0.0012229849 0.0006479994 0.00029205607 0.0012549284 0.0007712106 0.0002829293 0.00019622517 0.0002509857 0.00015515479 0.00018253505 0.00014146465 0.00014146465 0.00021447868 0.020407418 0.00047459113 0.0007301402 0.00052935164 0.00088985835 0.0004061405 0.002112843 0.0011727876 0.00010495765 3.1943633e-05 5.932389e-05 3.1943633e-05 0.000109521025 9.58309e-05 0.00011864778 0.0007620838 0.018705279 0.0003650701 0.00045177425 0.00090811186 0.0013598861 0.0002509857 0.002596561 0.001492224 0.00014602803 0.0002099153 0.00012777453 0.00013690129 0.00022360543 0.00023729556 0.00011864778 0.0007073233 0.021561952 0.0010723934 0.0011180271 0.0011910412 0.0021265333 0.0009263654 0.0049193194 0.002742589 0.0002509857 0.00021447868 0.00034681658 0.00022360543 0.00023729556 0.00017797167 5.4760512e-05 0.00021904205 0.018773729 0.00035137997 0.004389968 0.0015834916 0.0030392085 0.0020763362 0.009304724 0.0050653475 0.00069363316 0.00015515479 0.00020078855 0.00024185894 0.00031943634 0.00017797167 0.00014602803 0.0002099153 0.012613172 0.0022862514 0.0010495766 0.0010952103 0.0012777454 0.00077577395 0.002911434 0.0018299138 0.00030574622 0.00029205607 0.00074383034 0.00031030958 0.00029661946 0.00027380258 0.00018253505 0.0017934068 0.021288149 0.0017295196 0.0014146466 0.008063486 0.0025144203 0.0017523364 0.005152052 0.0033084478 0.0009172386 0.00081684435 0.0010221963 0.0009126752 0.0011408441 0.0009993794 0.00087160483 0.004170926 0.01247627 0.0037191515 0.0020763362 0.0019029279 0.0018390405 0.0010815201 0.004549686 0.003153293 0.0009172386 0.00058867555 0.00081684435 0.00041070385 0.00066168956 0.00067994307 0.00048828125 0.0020215756 0.050028294 0.010253906 0.005941516 0.0074154865 0.017792603 0.017231308 0.005608389 0.01393655 0.033134673 0.0021995474 0.0024550965 0.0033540814 0.012850467 0.0043032635 0.010774131 0.02701975 0.067369126 0.017290633 0.012138581 0.0134802135 0.025773948 0.024979921 0.011157455 0.019020151 0.040472582 0.0027745327 0.0056448965 0.007023036 0.018992772 0.005749854 0.013174467 0.032714844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 526.0 13.61597 7162.0 0.06674113 0.0033510192 0.0029321418 0.0033510192 0.005724658 0.007958671 0.0029321418 0.002792516 0.0046076514 0.003490645 0.0037698967 0.0032113935 0.002792516 0.015079587 0.008796426 0.003490645 0.016894722 0.019547611 0.010192684 0.010611561 0.008377548 0.0061435355 0.008098297 0.0058642835 0.0129852 0.006841664 0.0054454063 0.017453225 0.00963418 0.006422787 0.003490645 0.005026529 0.004188774 0.012845574 0.0058642835 0.013683328 0.0065624127 0.008377548 0.008936051 0.01130969 0.0054454063 0.007260542 0.0011170064 0.0019547613 0.0058642835 0.007819045 0.0039095227 0.004188774 0.011030438 0.0037698967 0.008517174 0.018709857 0.0075397934 0.0061435355 0.008796426 0.014800335 0.0015358839 0.0015358839 0.0016755096 0.002094387 0.002792516 0.0015358839 0.0012566323 0.0016755096 0.0016755096 0.033370566 0.0054454063 0.014800335 0.01829098 0.07916783 0.008517174 0.007679419 0.013822954 0.03323094 0.0053057806 0.0033510192 0.031136554 0.013404077 0.028344039 0.0302988 0.011728567 0.001396258 0.040212233 0.023038257 0.05585032 0.013404077 0.0061435355 0.0032113935 0.00698129 0.006422787 0.002792516 0.0005585032 0.0012566323 0.0011170064 0.0005585032 0.000698129 5.845738 2.0 0.0 0.0 2.0 110592.0 126976.0 1.0 0.0 63.0 1.0 1.0 0.0 0.0 0.0 995571000.0 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 -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 5.0 0.0 6.0 20.0 5.0 0.0 4.0 0.0 90112.0 4096.0 4096.0 7.0 0.0 0.0 3.0 5.0 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 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 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 -6.0030546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8007455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.222301 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.959013 0.0 3.415214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2658.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82226.0 0.0 1648.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 107748.0 1648.0 81920.0 0.0 0.0 0.0 0.0 1880.0 122880.0 28.0 4688.0 0.0 0.0 0.0 0.0 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: 0.054443035 0.0093470365 0.011718316 0.006260161 0.008573255 0.0043296153 0.010516827 0.0043426417 0.0039896206 0.0037538386 0.010182477 0.0037186667 0.0035949138 0.0036005585 0.0055654077 0.0034494498 0.0036244406 0.0039896206 0.004245376 0.0036266118 0.003467687 0.00339083 0.004594924 0.003915803 0.00372518 0.003445976 0.0033895273 0.003534557 0.003455963 0.003481582 0.0036057692 0.0042927065 0.0067508304 0.0033131044 0.004474645 0.00341862 0.0035176224 0.0035588734 0.0036882712 0.0033982117 0.0066157877 0.0033547897 0.0042510214 0.0051715695 0.0035870976 0.0035145828 0.003622704 0.0033721584 0.0037147587 0.0034129752 0.0033191836 0.0034246992 0.0033817114 0.0037004293 0.0034624764 0.0033738953 0.003445976 0.0035393334 0.003402554 0.0033825797 0.0033973432 0.0033695532 0.0034333835 0.0033313418 0.0034255676 0.0036261776 0.003487227 0.0041281367 0.0034507525 0.003326131 0.0034451075 0.0034420681 0.0035402018 0.003625309 0.00348549 0.0034190542 0.0034468444 0.0036478885 0.003575808 0.0033995144 0.003512846 0.0033938694 0.0034246992 0.003713456 0.00359144 0.0032974724 0.0035336886 0.0033482763 0.003507201 0.0034012513 0.0033973432 0.0032792352 0.0034603053 0.0032562215 0.0033916985 0.0038341694 0.0037086795 0.0051420424 0.0036804553 0.0037442856 0.0037811943 0.004927103 0.0035497549 0.0035762421 0.0034728977 0.004060833 0.0033817114 0.00335175 0.0036752445 0.0035905715 0.003969212 0.011612366 0.0035558338 0.0034233965 0.0042158496 0.0045558442 0.0044690003 0.00561708 0.003422528 0.0034251334 0.003455963 0.0035467152 0.0033269995 0.0046166354 0.0033569608 0.0036973897 0.0034503182 0.0033391577 0.0044203675 0.003465516 0.0035011221 0.0035258727 0.0035849267 0.0034577 0.003538031 0.0032918276 0.0032966041 0.0033847508 0.0035375967 0.0032913934 0.0034629107 0.0033812772 0.0034568314 0.003444239 0.003308328 0.0033704215 0.0033230914 0.0033413288 0.0033000777 0.0033504474 0.0032792352 0.0032392868 0.0033052885 0.0033782376 0.0032766298 0.003290525 0.003294433 0.0033035516 0.0033196178 0.0033018147 0.0033057227 0.0032084573 0.00341862 0.00339083 0.003312236 0.0032640374 0.0031954306 0.003255353 0.0033057227 0.0033977774 0.0032874853 0.0032992093 0.0032223524 0.0032475372 0.0032666428 0.0032579585 0.003194128 0.00329617 0.003255353 0.00330442 0.003363474 0.0033274337 0.0032575242 0.004222363 0.003327868 0.0033382892 0.0033209205 0.0032075888 0.0033747638 0.0032874853 0.0032722878 0.0033487105 0.0033387234 0.0033265653 0.0032536162 0.0032853144 0.0033660794 0.0033152755 0.003326131 0.0032779325 0.0033248283 0.0033626056 0.0032970384 0.0033643425 0.0032462345 0.003287051 0.0032883538 0.0032757614 0.003247103 0.0032722878 0.0033087623 0.0032918276 0.003355224 0.003263169 0.00339083 0.003263169 0.00323755 0.0032892223 0.003308328 0.0032909592 0.0033018147 0.0031837067 0.0033217887 0.0033287364 0.0032701166 0.0033560924 0.0041798092 0.0033091966 0.0031984702 0.0032696824 0.0032731562 0.0032523135 0.003294433 0.0032822748 0.0032149705 0.0032462345 0.0032392868 0.0032757614 0.003333513 0.0032948672 0.003363474 0.0034273046 0.0032861826 0.0032488399 0.0032618663 0.0032562215 0.0032983408 0.0033026831 0.0034520552 0.0032970384 0.0031797986 0.0033287364 0.0034090672 0.0033100648 0.0035210962 0.0054312334 0.004445792 4.3441392e-07 0.0 4.3441392e-07 0.0 0.0 0.0 4.3441392e-07 0.0 0.0 0.0 8.6882784e-07 0.0 4.3441392e-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 0.00081843586 4.3441392e-07 1.1294762e-05 8.6882784e-07 1.9548627e-06 2.3892767e-06 2.1720696e-07 9.339899e-06 4.561346e-06 1.5204487e-06 1.0860348e-06 1.3032418e-06 0.0 1.1294762e-05 0.0 2.49788e-05 0.0011592335 3.1060594e-05 6.516209e-06 1.9331419e-05 7.1678296e-06 5.647381e-06 6.0817947e-06 7.602244e-06 6.733416e-06 6.0817947e-06 6.733416e-06 3.9097254e-06 1.3032418e-06 1.7376557e-06 1.3032418e-06 6.4076055e-05 0.0018310547 1.1077555e-05 7.819451e-06 3.084339e-05 4.7785534e-06 4.7785534e-06 6.9506227e-06 6.9506227e-06 6.516209e-06 1.6724936e-05 4.344139e-06 1.1946383e-05 4.1269323e-06 4.344139e-06 6.516209e-06 0.00071026676 0.0029722601 0.00031625334 0.00040661142 8.3190265e-05 2.715087e-05 1.5421694e-05 8.1235405e-05 4.5179047e-05 0.0005091331 1.0860348e-05 3.0408974e-06 6.9506227e-06 5.430174e-06 2.8236905e-06 0.00025087403 0.00015682343 0.0009735216 4.8002737e-05 8.8837645e-05 3.7794012e-05 3.0408975e-05 1.2598004e-05 4.1920943e-05 2.2372316e-05 0.00024805035 8.036657e-06 1.7376557e-06 1.7376557e-06 4.3441392e-07 6.516209e-07 0.00012380797 0.00013944687 0.004655831 0.00033753962 0.0004989244 0.000104693754 0.00072286476 0.00071026676 0.0039416547 0.0021103828 0.00027020546 1.8679799e-05 1.0425934e-05 5.647381e-05 1.8028179e-05 1.0208727e-05 0.00014248777 0.00018136781 0.029197177 0.0025654314 0.0037628934 0.0007091807 0.0009111832 0.0009548418 0.00557049 0.002388625 0.001148156 0.00035057202 0.00035448177 0.00041052117 0.00039705433 0.00030495858 0.0004274633 0.0008138745 0.033566512 0.0032083641 0.0070772544 0.0012202687 0.0013816535 0.00097004627 0.004633459 0.0036045494 0.0012465507 0.0007458887 0.0006848535 0.00044831517 0.00058189745 0.0006253389 0.00073177024 0.00066117797 0.008561864 0.0008275585 0.0014952527 0.0009107488 0.0012217892 0.00061122037 0.00094398146 0.0007211271 0.00073806924 0.00030821667 0.00023002217 0.00027259474 0.00037555082 0.00024870198 0.00030995434 0.000461782 0.0014691879 0.00037381318 0.0002495708 0.00015921271 0.00016464287 0.00013293065 0.00037055506 0.00019049051 9.513665e-05 4.7785532e-05 4.3658598e-05 5.2346877e-05 4.4961842e-05 4.99576e-05 3.9097253e-05 7.5370815e-05 0.0010554086 0.00023871045 0.00021677255 0.00014444263 0.00013922967 0.00013640597 0.00043854085 0.0002556526 0.000110341134 5.147805e-05 5.777705e-05 4.9088772e-05 5.9514707e-05 3.9097253e-05 6.4727676e-05 5.6691017e-05 0.0012819555 0.00035035482 0.00027867654 0.00014987281 0.00029518426 0.00027302915 0.00053910766 0.00026955383 0.00010643141 9.5353855e-05 0.00012706607 0.00015356533 0.00015269649 0.000103824925 0.00012532841 0.00014639749 0.0005908029 0.00011055834 0.00017506881 0.00013684039 0.00011924662 0.00013184463 0.0003153845 0.00022415759 9.861196e-05 0.00010013241 0.000103390514 0.00010795186 0.00011403365 0.00010730024 0.00010556258 0.00012815211 0.054674685 0.051382046 0.051332302 0.051385738 0.051420923 0.05138943 0.052303217 0.051602077 0.05147566 0.051243685 0.051029302 0.052143138 0.05120285 0.05116614 0.050984338 0.051776927 10702.0 7.7629414 83079.0 0.016201448 0.0061266986 0.006752609 0.006475764 0.0064637274 0.005934111 0.0062229927 0.0064276173 0.0069572334 0.006620205 0.0070535275 0.0067766826 0.0087386705 0.0080886865 0.012506169 0.0064035435 0.009749756 0.008883111 0.0071859313 0.007077601 0.00745074 0.007667401 0.007342409 0.007414629 0.00752296 0.009533095 0.006475764 0.0063553965 0.0064637274 0.007799805 0.0064998376 0.0061868825 0.005970221 0.010038638 0.009521058 0.013649658 0.010207152 0.008919221 0.008834965 0.008052576 0.0075590704 0.01091732 0.0062711397 0.006054478 0.007980356 0.008895148 0.012421912 0.0075470335 0.010664548 0.006475764 0.009821977 0.012409875 0.010339556 0.006704462 0.008100724 0.0069692703 0.010821026 0.0067766826 0.0075590704 0.0061628087 0.006848903 0.006030405 0.006235029 0.012903381 0.0066803885 0.024940116 0.00925625 0.01570794 0.015082031 0.050397813 0.010905283 0.012145067 0.009484948 0.02349571 0.0067285355 0.007823879 0.017128276 0.014949626 0.024506794 0.028972425 0.012012662 0.0065479847 0.028226146 0.024217913 0.036302797 0.014889442 0.0092321765 0.009749756 0.009159956 0.01216914 0.006475764 0.006030405 0.006608168 0.0061266986 0.0064516906 0.006572058 6.359955 2.0 2.0 0.0 26.0 2302976.0 2326528.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1455051600.0 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 -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 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 2295808.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2295808.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.823676 0.0 2.2818165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2295612.0 0.0 5904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 2303708.0 5904.0 2318336.0 0.0 0.0 0.0 0.0 12.0 2310144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.16720958 0.009993369 0.00663809 0.0044060685 0.01510238 0.0026487138 0.0031270043 0.003011055 0.010018733 0.0070330417 0.0067322985 0.0065366346 0.011783334 0.0047430457 0.0010906468 0.0037393607 0.011029664 0.0012537005 0.0017102503 0.00074279937 0.006971444 0.006576492 0.000757293 0.0005580054 0.0069678207 0.00041306892 0.00055075856 0.001373273 0.0047937734 0.0018624335 0.0013768964 0.0022428918 0.0073482785 0.0010580362 0.001170362 0.001126881 0.05633318 0.002456673 0.0005906161 0.0010616595 0.0036995031 0.00039857527 0.00060873316 0.0016595225 0.0031052637 0.0009674509 0.0007500462 0.00062685023 0.0031451213 0.00048191374 0.0031994723 0.0037466076 0.0030219252 0.0006014863 0.0004021987 0.00036596457 0.0026305967 0.00060873316 0.00044205622 0.002887859 0.0028842357 0.0012174663 0.00052177126 0.0005290181 0.00339876 0.001496469 0.00078990374 0.00076816324 0.020570107 0.0020472275 0.0026958182 0.00076091645 0.0026414671 0.0005833693 0.0004891606 0.0006558375 0.01821489 0.0038154523 0.0029023527 0.009435364 0.01729092 0.009913654 0.011102133 0.007290304 0.006706935 0.0029132229 0.006837378 0.004192287 0.0019059145 0.0006123566 0.00039857527 0.0018117058 0.003355279 0.0017392376 0.004561875 0.0025653753 0.001355156 0.00026813245 0.00019566422 0.00030798998 0.008844748 0.00042756257 0.00077178667 0.0002536388 0.012971814 0.00036958797 0.013475467 0.00052177126 0.0020544743 0.0005906161 0.00047466691 0.0003732114 0.0014384944 0.00039495187 0.0004058221 0.00035509432 0.007931648 0.0031922257 0.0006558375 0.00035147092 0.0015798075 0.00044567962 0.00057612243 0.00039495187 0.0028914826 0.0010109318 0.0009746977 0.00053988834 0.0016776395 0.0019312784 0.00032610705 0.01081226 0.006315606 0.0061199423 0.0021812937 0.00039495187 0.0027682865 0.01585605 0.0012645706 0.04594486 0.0019095379 0.026784258 0.0037647246 0.0004637967 0.041763443 0.0004021987 0.00035147092 0.00045654987 0.0011957259 0.0006884482 0.0009167231 0.00035509432 0.0007536696 0.0004021987 0.00027537928 0.00027175588 0.0013479091 0.00028987293 0.0010906468 0.00021378128 0.0007935271 0.0037284906 0.0002862495 0.00036234115 0.0011957259 0.0006630843 0.0002500154 0.0002790027 0.0008225144 0.00024639198 0.0005036542 0.0007826569 0.000880489 0.00026088563 0.00052177126 0.0004348094 0.00095295726 0.00027537928 0.00028987293 0.00048553717 0.0010797767 0.0003116134 0.00023552176 0.0003152368 0.001619665 0.0012102195 0.00032610705 0.00038408162 0.0008768656 0.00038770505 0.00095295726 0.00041669235 0.0070004314 0.001945772 0.0046850713 0.003627035 0.0071453676 0.00060873316 0.011381136 0.0074606044 0.002253762 0.00089498266 0.0006558375 0.0011015171 0.0023298536 0.0011232576 0.0029603273 0.002094332 0.0009384636 0.0008152676 0.0005652522 0.0008406315 0.0006812014 0.0007935271 0.0008696188 0.0018950442 0.0014022603 0.0005290181 0.00027537928 0.00088411244 0.0006304736 0.00025726223 0.00026088563 0.0002826261 0.0008732422 0.0007210589 0.00033697727 0.00023552176 0.0007464228 0.00030074315 0.00026088563 0.00024276858 0.028331455 0.001779095 0.00030074315 0.0018261995 0.0026124797 0.00051090104 0.00029711975 0.0002536388 0.0015000924 0.0028480014 0.00035871775 0.0017718483 0.000677578 0.00030436658 0.0014384944 0.00069569505 0.0027610397 0.0006884482 0.00070294185 0.0005253947 0.0018515633 0.00082613784 0.001065283 0.028244494 0.0074626864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032321303 0.0001493995 4.008279e-05 1.2753615e-05 5.2836403e-05 2.3685285e-05 6.7411966e-05 3.8260845e-05 3.6438898e-06 5.465835e-06 5.465835e-06 1.093167e-05 1.2753615e-05 6.559002e-05 3.6438898e-06 7.2877797e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024250087 8.92753e-05 0.00013482393 5.101446e-05 0.00012207031 9.656308e-05 6.376807e-05 3.6438898e-05 0.00026600398 9.656308e-05 1.2753615e-05 3.6438898e-06 0.00010567281 4.9192513e-05 7.2877796e-05 0.00010567281 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035527926 0.0003516354 0.0005065007 0.00018401645 0.00065043435 0.0008763555 0.00040629372 0.00030973065 0.0016452163 0.0010366867 0.00010202892 8.92753e-05 0.00071055855 0.0001493995 0.00030062092 0.00032248427 0.16868842 0.03155609 0.054009736 0.016115103 0.04499111 0.051533714 0.02771725 0.014559162 0.084574685 0.03200975 0.007515523 0.0061964346 0.036912605 0.007273204 0.02584611 0.02856081 0.07754562 0.017007856 0.02828023 0.010308565 0.025585573 0.030832775 0.01510028 0.008227903 0.042061422 0.017862348 0.004345339 0.0037878235 0.019658785 0.0043489826 0.013506078 0.017361313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 908.0 5.715859 5190.0 0.035260115 0.0011560693 0.00038535646 0.007707129 0.13217726 0.00327553 0.00038535646 0.003468208 0.019460501 0.0 0.00057803467 0.002504817 0.012524085 0.00057803467 0.0013487476 0.0 0.010982659 0.00038535646 0.009055877 0.004816956 0.008863199 0.001734104 0.00019267823 0.001734104 0.010019268 0.001734104 0.0011560693 0.0019267823 0.0073217726 0.00038535646 0.0015414258 0.0044315993 0.0071290946 0.00096339115 0.002504817 0.0015414258 0.038535647 0.00057803467 0.005202312 0.00096339115 0.0063583814 0.0015414258 0.0019267823 0.0 0.048169557 0.00057803467 0.0036608863 0.0038535646 0.06223507 0.044123314 0.07630058 0.044123314 0.031984586 0.01753372 0.020038536 0.018882466 0.0040462427 0.0023121387 0.0007707129 0.014258189 0.005202312 0.018111754 0.027552987 0.021387283 0.0040462427 0.0011560693 0.00038535646 0.00096339115 0.03815029 0.0007707129 0.00038535646 0.00019267823 0.06512524 0.0007707129 0.028516378 0.00038535646 0.004238921 0.00038535646 0.0011560693 0.0007707129 0.0063583814 0.0 0.0011560693 0.00038535646 0.006743738 0.0026974953 0.0 0.00019267823 0.0019267823 0.00038535646 0.0 0.00019267823 0.011175337 0.00057803467 0.0007707129 0.00057803467 5.0393724 0.0 0.0 0.0 1.0 275983.0 2150400.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1446531500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 983040.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -983040.0 0.0 884736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2104588 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -982531.0 0.0 882136.0 0.0 0.0 0.0 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 1992.0 1185744.0 480.0 1166944.0 882136.0 1265664.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 991600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4452.0 987136.0 0.0 0.0 0.0 0.0


Input: 0.20061183 0.014037039 0.0052149254 0.0058905804 0.0041972394 0.0036633648 0.0034814577 0.0029770094 0.006680883 0.0022998257 0.0030114036 0.0033217156 0.002765294 0.005506894 0.0020961356 0.009121725 0.0056360634 0.0016654438 0.0018465866 0.0024182945 0.0021828855 0.0029601944 0.001593598 0.0012355163 0.0034470635 0.0013459598 0.0014250665 0.0008453331 0.0013746216 0.0013895258 0.0016963986 0.0017292642 0.009519169 0.003581965 0.0016784371 0.0021932037 0.014820462 0.001063163 0.0007432969 0.0008227858 0.0039259074 0.0006917057 0.00079068454 0.0035024765 0.0007505579 0.0014766578 0.0008617659 0.00066839403 0.004937861 0.0013333486 0.0018844202 0.006197071 0.0018729555 0.001026858 0.00076125836 0.0006305604 0.0026869515 0.0014533462 0.00077845546 0.0018828915 0.0008552692 0.00079565257 0.0005697973 0.0007593476 0.004382204 0.011194549 0.0027893698 0.0027710262 0.008908863 0.005390718 0.0013165337 0.0013795897 0.038826853 0.006107264 0.0010322082 0.0015114342 0.008725427 0.0030362438 0.001811428 0.0015469749 0.0036966125 0.00076775503 0.0018664588 0.002719435 0.0030519124 0.001433474 0.0016062093 0.0016944878 0.0019673484 0.00077425176 0.0005311994 0.0011472377 0.003469993 0.0010092788 0.001300483 0.0074092755 0.0019096426 0.0029945886 0.0012832859 0.0033366198 0.0034478279 0.0057694367 0.0021912928 0.0016379284 0.0018530833 0.0036331743 0.000532728 0.0009901709 0.0029292398 0.0016814944 0.0030022317 0.002678162 0.0037298603 0.00057132595 0.0033962366 0.0035510105 0.009891009 0.0044001653 0.0011587025 0.0009527194 0.0015492678 0.0015511785 0.00054457487 0.0006305604 0.0017934666 0.0006985845 0.0009599804 0.00079527043 0.00550613 0.0010773028 0.00072953926 0.007083295 0.0027874592 0.0070202393 0.0008995995 0.0005869944 0.0018798343 0.008411294 0.0006168027 0.028320951 0.0009817635 0.008744535 0.0006748907 0.0005457214 0.0013719465 0.00045362132 0.00049795164 0.00044597816 0.0009894066 0.0006041915 0.00053731387 0.0004712006 0.0010004891 0.0005331102 0.00040508728 0.00042343087 0.0007329787 0.0004005014 0.00040203 0.0004264881 0.001319591 0.00070355256 0.0006959094 0.00065157906 0.0008090281 0.00062177074 0.0007058455 0.0006160384 0.0010688954 0.00065463636 0.00062215293 0.0006993488 0.00090991776 0.00064202514 0.0006106882 0.00096800574 0.0010987037 0.00044292092 0.00040126572 0.00044597816 0.00065731147 0.00041387693 0.002292947 0.0007073741 0.0046458924 0.0010283866 0.0015859549 0.0005697973 0.00073985755 0.00048686904 0.00056368276 0.0005361674 0.008260723 0.0054472773 0.0017713015 0.005032636 0.0041762204 0.00091756094 0.0013979333 0.0031180256 0.0030587912 0.0022218656 0.0012316946 0.0020262008 0.15657732 0.0011575561 0.0016921948 0.0019283684 0.002223394 0.0011181937 0.0015190773 0.0010685133 0.00070813845 0.000741004 0.0010192149 0.0009905531 0.0018309181 0.0010818888 0.0007998563 0.0010765386 0.0005889052 0.0004910728 0.0005503073 0.0006450824 0.004465132 0.00089272065 0.00067068695 0.0006187135 0.00074711855 0.0004941301 0.0006286496 0.00054648565 0.013212725 0.0045457673 0.0010860926 0.0026689903 0.0012981901 0.001256535 0.00081055675 0.0010077502 0.0027079703 0.0012817573 0.00091908954 0.0009779419 0.0011785747 0.00096074474 0.0017632762 0.0013222661 0.0024320523 0.0016795836 0.0011441805 0.001058195 0.00083386834 0.0010516983 0.0019849278 0.018400516 0.027386574 3.25011e-06 2.8677441e-06 1.3382806e-06 1.7206465e-06 1.1470977e-06 1.3382806e-06 2.2941954e-06 3.632476e-06 1.9118295e-07 5.7354885e-07 0.0 0.030540328 5.7354885e-07 1.9118295e-06 5.7354885e-07 0.0014944772 8.603232e-06 7.456135e-06 6.1178544e-06 1.2235709e-05 8.603232e-06 1.2235709e-05 5.9266713e-06 1.300044e-05 2.6765613e-06 4.2060246e-06 1.7206465e-06 0.0003708949 1.3382806e-06 5.3531226e-06 2.8677441e-06 0.002529924 3.116282e-05 3.4221746e-05 1.491227e-05 3.116282e-05 2.5618516e-05 3.4604112e-05 1.7015282e-05 2.1794856e-05 4.779574e-06 4.3972077e-06 1.0706245e-05 0.00073070126 1.0515062e-05 1.1088611e-05 1.1279794e-05 0.0042088926 8.622351e-05 5.314886e-05 1.5868185e-05 2.6956795e-05 2.7530345e-05 3.0971638e-05 2.2750772e-05 0.00012350419 1.43387215e-05 1.4147538e-05 1.0132696e-05 0.0007716144 1.6824099e-05 4.03396e-05 1.8353563e-05 0.0061752093 0.00019424187 0.00017053519 9.176781e-05 8.698824e-05 6.270801e-05 0.000168241 0.000115474504 0.00017129992 2.9442173e-05 6.6340486e-05 2.5618516e-05 0.00036037987 3.9574872e-05 4.6457455e-05 2.657443e-05 0.007686128 0.0003867631 0.00026497958 0.0001064889 0.00019041821 9.922395e-05 0.00022865481 0.00016996164 0.0004552066 4.5692726e-05 2.8868626e-05 7.895856e-05 0.00097618013 9.654739e-05 6.6914035e-05 8.2208666e-05 0.018281488 0.0011700396 0.00064409536 0.00044258853 0.0005326357 0.00032443745 0.00060241745 0.00046189802 0.0011145966 0.00019653607 0.00017168229 0.0001929036 0.001059727 0.00023209609 0.0002175662 0.00019710962 0.02682832 0.0022108397 0.0014803295 0.0007760116 0.0010008428 0.00071961264 0.002372007 0.0014665644 0.0018682397 0.00021125715 0.00022808126 0.00026670023 0.0010755953 0.00025064085 0.00034107038 0.00040741087 0.030399619 0.0028532143 0.0024618628 0.0020802617 0.004544992 0.0054584644 0.010817322 0.0061019864 0.00065441924 0.0002848626 0.00022253695 0.00019385951 0.0015306107 0.00030206906 0.0005259443 0.00047948683 0.02475647 0.002450583 0.0028826564 0.0033361425 0.0057377825 0.006763479 0.011375385 0.006323567 0.0008542054 0.00028390667 0.0002948041 0.0003858072 0.0029151577 0.00040091065 0.0006314773 0.0006938029 0.007892032 0.00071024464 0.0014812854 0.0011360091 0.0017143375 0.0010268436 0.002097277 0.0011799812 0.00078423246 0.00022903718 0.00042461732 0.00025771462 0.0031143702 0.00024700837 0.00042308785 0.00038293944 0.01726191 0.00246626 0.0045421245 0.0022987837 0.006339244 0.0016606151 0.0013610314 0.0015315666 0.0047155274 0.0013178241 0.004407914 0.0014562405 0.013856366 0.0016518207 0.0025933967 0.0022339728 0.05024842 0.009545573 0.016613798 0.008111892 0.03952937 0.00832812 0.0041148304 0.00777216 0.03029638 0.0029078927 0.0025775286 0.006329494 0.08320798 0.006004483 0.014970389 0.014453431 0.041157674 0.008321238 0.013612608 0.0074471496 0.035909895 0.007660892 0.0043530446 0.008345518 0.030081298 0.002565484 0.002266665 0.0055450704 0.056132652 0.0051908083 0.012406244 0.015855758 0.00579877 0.0012256738 0.001706499 0.0014231659 0.004029181 0.0011719514 0.0011036992 0.0014969625 0.0036171814 0.00050376705 0.00046533928 0.00076874666 0.0023699037 0.0008790592 0.0015204779 0.002459951 0.0027283719 0.0011195673 0.0011201409 0.0011163172 0.0010773159 0.0011042727 0.0011732897 0.001145377 0.0011101994 0.001088978 0.0011079052 0.0010914635 0.001092037 0.0011251116 0.0011549362 0.0023964783 14105.0 14.431691 203559.0 0.027215697 0.00049617066 0.0003586184 0.00058950967 0.009672871 0.0021418852 0.00047160775 0.00044704485 0.0018766058 0.0010611174 0.0005845971 0.00091374 0.0006140726 0.009471456 0.0033110792 0.00082531356 0.010773289 0.008940897 0.0092110885 0.0072018434 0.0021860984 0.0063912673 0.0021271475 0.0015130749 0.0034191562 0.007472035 0.0018913435 0.0011495439 0.00074179965 0.0011102433 0.0006386355 0.0002800171 0.0031931775 0.038765173 0.0059147472 0.01591185 0.009672871 0.023020353 0.00395954 0.0050697834 0.008159797 0.011854057 0.0010218167 0.0054775276 0.0077667898 0.005619992 0.012969213 0.009589357 0.01618204 0.0012477955 0.012477955 0.022106612 0.015690783 0.0071969307 0.010414671 0.0072706193 0.007064291 0.003713911 0.00034879323 0.0019011687 0.007378696 0.004765203 0.0078650415 0.077127516 0.0010119916 0.030787142 0.008975285 0.027952584 0.025285052 0.06515064 0.0112694595 0.013691362 0.008022244 0.03891255 0.0009874287 0.0052417237 0.017027004 0.01450685 0.030718368 0.026292132 0.019753486 0.0011741067 0.033469412 0.031666495 0.050398163 0.012699021 0.0061407257 0.0039791903 0.004603088 0.010738901 0.0007565374 0.00016702774 0.001920819 0.00019159065 0.00034388065 0.00034879323 5.669855 9.0 19.0 0.0 5.0 2616720.0 2650112.0 1.0 4079.0 146.0 1.0 1.0 1.0 0.0 0.0 1534394600.0 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 12.0 0.0 6.0 0.0 6.0 0.0 1667072.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 741888.0 0.0 0.0 0.0 0.0 111104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1667072.0 -6656.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5484757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.17765 0.0 0.0 0.0 0.0 5.851379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0712266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6848793 -3.8013668 2.2096877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27023.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 741391.0 0.0 0.0 0.0 0.0 110976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1666585.0 -6527.0 1728.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 -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 -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 1.0 0.0 1.0 0.0 6.0 -9.0 7.0 12.0 1.0 8.0 -3.0 0.0 12.0 5.0 0.0 -4.0 0.0 -2.0 -6.0 0.0 0.0 -8.0 6.0 3.0 1.0 -1.0 10.0 -8.0 -8.0 2.0 9.0 6.0 -3.0 2.0 3.0 1.0 -2.0 0.0 -3.0 8.0 -3.0 -6.0 -4.0 2.0 -4.0 -1.0 -2.0 -8.0 11.0 -11.0 -10.0 -16.0 -4.0 -4.0 -6.0 -4.0 0.0 -7.0 2.0 -3.0 5.0 -6.0 0.0 7.0 4.0 -4.0 -4.0 -9.0 -3.0 9.0 -10.0 -3.0 0.0 5.0 -4.0 -6.0 15.0 -2.0 -2.0 7.0 7.0 2.0 3.0 -2.0 -3.0 6.0 -1.0 -8.0 6.0 4.0 5.0 3.0 5.0 1.0 -4.0 -2.0 -1.0 -12.0 -11.0 3.0 6.0 -5.0 -5.0 0.0 -9.0 -10.0 -8.0 -3.0 -3.0 -4.0 2.0 -1.0 -12.0 -1.0 3.0 4.0 -4.0 0.0 -2.0 -1.0 3.0 -1.0 3.0 0.0 5.0 2.0 5.0 4.0 5.0 4.0 -4.0 -3.0 145183.0 2267376.0 100.0 2610888.0 1728.0 2617344.0 100620.0 2494464.0 7056.0 2609664.0 18796.0 2621440.0 56.0 1674192.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 2105200.0 0.0 0.0 1736.0 2609152.0 0.0 0.0 0.0 0.0