Input: 0.13337277 0.0098407455 0.008194361 0.0036151593 0.0036088992 0.0033271986 0.003095578 0.0033491086 0.003070538 0.0023475061 0.0032395583 0.0037528796 0.003058018 0.0029828977 0.0024101061 0.007042518 0.0034430088 0.0028420473 0.003079928 0.0027857071 0.0026072967 0.0032270383 0.0026886768 0.003083058 0.0033491086 0.0025008763 0.0028044872 0.0026730269 0.0024664463 0.0029422075 0.0028858674 0.0022035257 0.0033365886 0.0031863481 0.0029015173 0.0033459787 0.0026886768 0.002716847 0.0028263973 0.0024570562 0.003446139 0.003130008 0.003518129 0.0028232671 0.0029046475 0.003142528 0.0030048077 0.002303686 0.0032332982 0.0032301683 0.0023944562 0.0030361079 0.0038405198 0.002716847 0.0024069762 0.0025791265 0.0057216547 0.0025572164 0.002338116 0.0030079377 0.0029046475 0.0024069762 0.0032426883 0.0029046475 0.0038593 0.0023819362 0.02339994 0.0033271986 0.0049360227 0.0039187702 0.0028889973 0.002704327 0.0029954177 0.003126878 0.0029015173 0.003108098 0.0030048077 0.0031237479 0.003092448 0.002729367 0.002726237 0.0027606671 0.0028576974 0.002729367 0.0029422075 0.0036652393 0.0032552083 0.0030298478 0.0025227864 0.0029265576 0.0024038462 0.0028608274 0.0028608274 0.0035118689 0.0034179688 0.0025227864 0.0036495894 0.0033397186 0.0032990284 0.0033897986 0.0032458182 0.0038311298 0.0052646734 0.0031738281 0.00393755 0.0029109074 0.0032489484 0.0030110676 0.0034148388 0.0032332982 0.0036558493 0.0026323367 0.0033428485 0.0026292067 0.003502479 0.0032082582 0.0034743089 0.0031957382 0.0030861879 0.0056402744 0.0029390776 0.0026792868 0.002413236 0.0027700572 0.0028170072 0.0024257563 0.0034492689 0.0031487881 0.0034743089 0.0030361079 0.0026448567 0.0030079377 0.003164438 0.0028420473 0.0033553685 0.002328726 0.0029703777 0.0036840194 0.0027481471 0.0026323367 0.0032645983 0.0030893178 0.0028263973 0.003101838 0.0028952574 0.0033710187 0.0030767978 0.0032833784 0.002754407 0.003101838 0.0029954177 0.0032207782 0.0029891576 0.0027481471 0.0029140376 0.0031613081 0.0030392378 0.0033115484 0.0032364284 0.003104968 0.0029109074 0.0034492689 0.0032395583 0.0029735076 0.003095578 0.0028733474 0.0032019983 0.0028076172 0.003079928 0.0028201372 0.0034743089 0.0033084184 0.0029891576 0.0028545673 0.0031800882 0.0028733474 0.0025979066 0.0030361079 0.0034148388 0.0029641176 0.0030173277 0.0027825772 0.003079928 0.0030298478 0.0025446964 0.0023725461 0.0036714994 0.0029359476 0.0029609876 0.0031926082 0.002766927 0.0029828977 0.0034179688 0.0039876304 0.0029515976 0.0032426883 0.0030079377 0.0028326572 0.0029390776 0.0038092197 0.0030016776 0.0030517578 0.002669897 0.0033428485 0.0026104266 0.0029296875 0.0031487881 0.0029672475 0.0033553685 0.0030767978 0.0029109074 0.0030204577 0.0033115484 0.0031487881 0.003108098 0.0033678885 0.0033929287 0.0029954177 0.0029453374 0.003521259 0.0031800882 0.0032552083 0.0029797677 0.003108098 0.002788837 0.0032552083 0.0030016776 0.0035494291 0.0024946164 0.0026354666 0.0034023188 0.0032239084 0.003095578 0.0032833784 0.0028827374 0.0032896383 0.0027356271 0.0031487881 0.0032802485 0.0030204577 0.0030016776 0.002776317 0.0026980669 0.0033428485 0.0032145183 0.0033365886 0.01572516 0.003104968 0.0033459787 0.0032802485 0.0032332982 0.0031487881 0.003114358 0.0032865084 0.002738757 0.034520857 0.03213079 0.0 1.5700361e-06 1.5700361e-06 4.7101084e-06 0.0 1.5700361e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.4130325e-05 0.0060132383 0.0 7.850181e-06 1.5700361e-06 6.2801446e-06 0.0 1.5700361e-06 7.065163e-05 1.5700361e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00032813757 0.0029406778 2.5120578e-05 3.4540797e-05 4.7101084e-06 3.1400723e-05 2.3550543e-05 6.123141e-05 2.6690615e-05 2.9830688e-05 1.5700361e-06 4.7101084e-06 1.0990253e-05 9.420217e-06 3.1400723e-06 3.1400723e-06 4.7101084e-06 0.025001256 4.082094e-05 5.65213e-05 8.4781954e-05 0.01433286 4.7101086e-05 0.00027632638 0.00010048231 0.0 0.0 1.2560289e-05 6.2801446e-06 0.0 9.420217e-06 6.2801446e-06 0.024333991 0.0099241985 2.826065e-05 4.7101086e-05 6.2801446e-06 0.00084310945 0.00011932275 1.2560289e-05 0.00030144694 0.0001083325 1.2560289e-05 3.4540797e-05 2.5120578e-05 1.8840434e-05 2.5120578e-05 1.5700361e-05 0.0013392408 0.021418434 0.0005856235 0.00014915343 0.00048828125 0.0029265473 0.00011147257 0.00017741408 0.0008509596 7.8501806e-05 4.7101086e-05 0.00035325813 0.00018526427 4.5531047e-05 5.9661375e-05 5.9661375e-05 0.0046174764 0.00914075 0.00012246282 0.00018526427 0.00012403286 0.002951668 6.594152e-05 0.00017898412 0.00045060038 8.007185e-05 8.007185e-05 0.00010676246 6.437148e-05 5.1811192e-05 5.809134e-05 6.123141e-05 0.0055704885 0.007762259 0.0001083325 0.00015700361 7.5361735e-05 0.0014098925 0.0001083325 0.00016328377 0.002091288 0.00014444333 5.1811192e-05 4.3961012e-05 3.4540797e-05 9.1062095e-05 2.5120578e-05 3.9250903e-05 0.0037712269 0.007465522 0.0002559159 0.00019625452 0.00020567473 0.00037523865 0.0001601437 0.00029673683 0.00022294513 0.00015072347 0.00013188303 0.00021195489 0.00012874296 0.00013502312 0.00014444333 0.00011461264 0.0026659213 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008851864 0.00048828125 0.0012073579 0.0024822273 0.0011885174 0.00043961013 0.0010079632 0.00046159062 0.00026219603 0.00016799387 0.0002904567 0.00025905596 0.0005903336 0.00025120578 0.00018369424 0.0011602567 0.011183368 0.0005903336 0.001042504 0.0016720885 0.0014852543 0.00069709605 0.0035859626 0.0013251106 0.00027946645 0.00023550543 0.00060603395 0.00039721915 0.001042504 0.0011351361 0.0012104979 0.0024508266 0.0035215912 0.00021195489 0.0002041047 0.00053695234 0.00027946645 0.00035953827 0.00071907655 0.00036424838 0.00020567473 0.00018683431 0.0003563982 0.00020881482 0.0003563982 0.00033127764 0.0003862289 0.0014177427 0.0028778764 0.000304587 0.00030144694 0.00031557726 0.0006295845 0.00030301698 0.0014255928 0.00062016427 0.0002339354 0.0002559159 0.00031557726 0.00023550543 0.00033755778 0.0004160596 0.00046944083 0.0006044639 0.0021415292 0.0005542228 0.00053695234 0.0012418986 0.0012371885 0.00045531048 0.0014617037 0.00076146756 0.0005039816 0.0010597744 0.00060603395 0.0007551874 0.0016610983 0.0009781326 0.00085252966 0.0012701593 0.043625027 0.042387836 0.043723937 0.041431684 0.043995555 0.04423106 0.04598479 0.043210536 0.046217155 0.047129344 0.046342757 0.04518093 0.045722593 0.047400963 0.045840345 0.044617288 2169.0 7.019825 15226.0 0.0072901617 0.0059766187 0.00709313 0.007027453 0.0058452645 0.005451202 0.006042296 0.0051884935 0.0072901617 0.0072244843 0.02679627 0.0063050045 0.0061736503 0.007027453 0.009917247 0.004860108 0.0077499016 0.007815579 0.005582556 0.0074871927 0.008078287 0.007421516 0.0061079734 0.006502036 0.04669644 0.0071588075 0.0047287536 0.0071588075 0.009654539 0.0052541704 0.008209641 0.012872717 0.0046630763 0.004991462 0.013069749 0.008997767 0.0067647444 0.014317615 0.008800736 0.011230789 0.012018915 0.0058452645 0.006042296 0.011099435 0.007946933 0.013201104 0.011427821 0.0071588075 0.0061079734 0.009457507 0.0064363587 0.010245632 0.012018915 0.011033758 0.013004072 0.00663339 0.0067647444 0.012281624 0.0046630763 0.009785892 0.009851569 0.010311309 0.012281624 0.0062393276 0.015237095 0.015762512 0.007946933 0.017929858 0.009785892 0.018323919 0.006502036 0.008866413 0.017929858 0.015893865 0.0057139103 0.011362144 0.0149743855 0.010508341 0.018849337 0.012544332 0.012741364 0.0051884935 0.013529489 0.010508341 0.012281624 0.01418626 0.011756207 0.05497176 0.010376987 0.00801261 0.0046630763 0.009785892 0.011756207 0.006042296 0.01556548 0.011821884 6.3613825 2.0 0.0 0.0 11.0 319488.0 335872.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1430878300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 282624.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -282624.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6915035 0.0 2.7452848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -279436.0 0.0 29480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 283268.0 29480.0 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 80.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.11961343 0.014001109 0.0053429976 0.007014417 0.0121989865 0.0032002535 0.004245881 0.0037072243 0.016246831 0.0016436946 0.0020516478 0.0022021546 0.009406686 0.0020754118 0.0017942016 0.008111534 0.009996831 0.0026814004 0.0017585552 0.0009347275 0.0041191382 0.008099652 0.001105038 0.0008119455 0.0029230039 0.0006693599 0.0006297529 0.0011406844 0.002388308 0.00074857415 0.00063371356 0.000764417 0.005921261 0.0008396705 0.00066539925 0.00092680607 0.0025229722 0.00078025984 0.0005980672 0.0004554816 0.002170469 0.00040003168 0.0004554816 0.0027487327 0.0015882446 0.000491128 0.00050697086 0.0004515209 0.0017585552 0.00051093154 0.00046340303 0.008475919 0.0012198986 0.0010495881 0.0007248099 0.0004871673 0.0014179341 0.0034576997 0.0004435995 0.0030537073 0.0012515843 0.001473384 0.0005307351 0.0004396388 0.0040320028 0.0028319075 0.0007683777 0.0016436946 0.0011921737 0.019688688 0.003125 0.001774398 0.0019565907 0.0010060202 0.00046736374 0.00080006337 0.0009545311 0.008883872 0.0018021229 0.0009347275 0.01634585 0.004368663 0.001568441 0.0045627374 0.0013822877 0.008467997 0.01997782 0.0074025667 0.0013307985 0.0045112483 0.0005148923 0.004107256 0.0028358682 0.008234316 0.0055331117 0.0031131178 0.0011565272 0.00038022813 0.00026932827 0.00026932827 0.0029428073 0.0015605197 0.0015803232 0.0002812104 0.0068876743 0.0003564639 0.01059886 0.00037626742 0.0010971166 0.00034458176 0.00030497464 0.00031685678 0.002237801 0.00083570974 0.0008555133 0.0013189163 0.013711977 0.021435361 0.002728929 0.0018060836 0.0018140051 0.00086343475 0.0004554816 0.0006376743 0.0012911914 0.0043647024 0.0020952155 0.00117237 0.0024596008 0.0017268695 0.00038418884 0.01450808 0.0034141317 0.015605196 0.0017823194 0.0013862484 0.0021229405 0.018346008 0.0006099493 0.056491602 0.0013268378 0.016131971 0.001568441 0.0007842205 0.004273606 0.0006178707 0.0007129278 0.0014575411 0.0018258872 0.0022061153 0.0018298479 0.0019684727 0.0024041508 0.0007564956 0.00029705322 0.00027328898 0.001105038 0.0014179341 0.00047132446 0.00058222434 0.001160488 0.0022576046 0.00025744614 0.0012634664 0.0010060202 0.0030893537 0.0003247782 0.00034854247 0.0018615336 0.00062183145 0.0002772497 0.0003247782 0.0015327947 0.00029705322 0.00030101393 0.0004554816 0.0013070342 0.0004475602 0.00026140685 0.0007208492 0.0014337769 0.0012476236 0.0009862167 0.0015209125 0.003833967 0.00082382764 0.00038022813 0.0007446134 0.0012436629 0.0005624208 0.0014852661 0.00070500636 0.013177281 0.0025031685 0.0065193283 0.005319233 0.0031883714 0.0014179341 0.004245881 0.0051013944 0.0032913499 0.0030141 0.0007327313 0.0018060836 0.0069946134 0.0008951204 0.0042656846 0.0023685044 0.0023249367 0.00087135617 0.0008951204 0.0006852028 0.0028200254 0.00026932827 0.0013426807 0.00095849176 0.0038181243 0.0013268378 0.0004435995 0.0020872941 0.0020635298 0.0014139734 0.00061391003 0.00051093154 0.0031051964 0.0004832066 0.00047924588 0.00045944232 0.0028477502 0.002332858 0.00033666033 0.0004079531 0.030398447 0.0024714828 0.00041983524 0.0064757606 0.010456273 0.0003564639 0.0004396388 0.00030497464 0.0066104247 0.0032636249 0.0004435995 0.00059014576 0.0034062103 0.00034458176 0.0038696134 0.0014694233 0.00435282 0.0016278517 0.0006535171 0.0009703739 0.008309569 0.004487484 0.007945184 0.075653516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021663744 0.00021922831 9.765625e-05 4.3845663e-05 0.0001554528 0.00026705995 0.00016741072 0.00017538265 0.0002471301 3.1887754e-05 2.989477e-05 7.573342e-05 0.00015744579 3.388074e-05 0.00010961416 0.000103635204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09024434 0.014130262 0.0077248085 0.009564334 0.017759487 0.035345584 0.011069037 0.020013552 0.05462771 0.008404416 0.005474729 0.0063297194 0.026983019 0.0069834185 0.022405135 0.04661392 0.11935786 0.025149474 0.013727679 0.01711974 0.03400829 0.058932558 0.01746851 0.03741231 0.08395647 0.01373565 0.009905134 0.011268335 0.037824858 0.015469547 0.03942921 0.07747927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 243.0 5.716049 1389.0 0.035277177 0.0028797695 0.005759539 0.0007199424 0.014398848 0.0021598272 0.0007199424 0.003599712 0.017278617 0.0021598272 0.0014398848 0.013678906 0.0079193665 0.0021598272 0.0064794817 0.0 0.011519078 0.0028797695 0.0014398848 0.0028797695 0.007199424 0.0014398848 0.0007199424 0.0021598272 0.0064794817 0.051835854 0.0007199424 0.010079194 0.013678906 0.003599712 0.0043196543 0.0007199424 0.018718503 0.0079193665 0.0 0.0021598272 0.010079194 0.009359252 0.0079193665 0.005759539 0.0021598272 0.0007199424 0.005039597 0.0021598272 0.0021598272 0.0028797695 0.003599712 0.005759539 0.08711303 0.040316775 0.013678906 0.032397408 0.007199424 0.0021598272 0.03671706 0.039596833 0.010079194 0.0079193665 0.003599712 0.012239021 0.005759539 0.030237582 0.03599712 0.03815695 0.003599712 0.005039597 0.0021598272 0.0028797695 0.009359252 0.003599712 0.007199424 0.0021598272 0.032397408 0.0028797695 0.035277177 0.0007199424 0.007199424 0.0014398848 0.003599712 0.0043196543 0.005039597 0.0007199424 0.0064794817 0.0079193665 0.05903528 0.028797695 0.0021598272 0.005759539 0.0043196543 0.0043196543 0.0007199424 0.0028797695 0.0028797695 0.0028797695 0.010799136 0.003599712 5.6208625 0.0 0.0 0.0 2.0 252480.0 1945600.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1479739000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1471488.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472512.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.486824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 323690.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1471968.0 0.0 8752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1789128.0 8752.0 1933312.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1688816.0 0.0 0.0 0.0 0.0 24.0 1688996.0 64.0 1688904.0 0.0 0.0 2436.0 1478656.0 0.0 0.0 0.0 0.0


Input: 0.43833694 0.0054688994 0.0038517476 0.0051433784 0.0038860915 0.0019060888 0.0013812237 0.0011826261 0.0061684703 0.0011042324 0.0012005448 0.0010265852 0.0025071078 0.0008668112 0.00070106436 0.002734823 0.0027564745 0.00062715024 0.0007861776 0.0007742319 0.0013737576 0.0015148665 0.0005562225 0.0005383039 0.0012072641 0.00059280626 0.00049500074 0.00066000095 0.0010870604 0.00050918624 0.0013319476 0.0013379204 0.003479937 0.0012826716 0.0012296624 0.0014924682 0.00504408 0.00092056696 0.0005069464 0.0005577157 0.0013438934 0.0008339605 0.0007570599 0.0014304998 0.0025332388 0.0011199111 0.0008802501 0.00072047615 0.0032163847 0.0018493466 0.0018530797 0.0055920896 0.0020576501 0.0015066537 0.0018724914 0.001768713 0.0026355241 0.0016529888 0.0015753417 0.002289845 0.002019573 0.0018015637 0.0012453411 0.0012289158 0.0039002772 0.0017351157 0.0016537354 0.002000908 0.0032858192 0.016411178 0.0032925387 0.0010982595 0.0013550925 0.0012423547 0.0006644806 0.0007622862 0.0016873328 0.0026571758 0.00084963924 0.00080260297 0.007565373 0.0017530342 0.0010683952 0.0023951165 0.0016156584 0.0072756894 0.0019172878 0.0013991423 0.0017470614 0.0030245066 0.0018463602 0.0015783281 0.0013073096 0.0020382383 0.0011721737 0.0009362457 0.0010639156 0.0013192553 0.0007062906 0.0009631236 0.0043161376 0.0023824242 0.001285658 0.00081081566 0.004882066 0.0016567218 0.0042698476 0.00074063457 0.0020606364 0.0009735761 0.0015805679 0.0015133732 0.0012998435 0.00062043074 0.001654482 0.0012864046 0.004166816 0.004564758 0.0008780103 0.0008571053 0.001272219 0.0010049336 0.0005905665 0.00047633552 0.0012692326 0.0012386217 0.00077124545 0.00060101895 0.0022487815 0.0015977399 0.0005114261 0.00491417 0.0025638498 0.009259425 0.00051889214 0.00048753465 0.001222943 0.0052344645 0.00085113244 0.024371507 0.001209504 0.016775522 0.00054726325 0.000500227 0.0013715178 0.00042332642 0.0004957473 0.0004106341 0.0010221056 0.0023324015 0.00046737623 0.00048604142 0.0013319476 0.0006756797 0.00046065677 0.00046961606 0.0011378297 0.0005517429 0.00042034 0.00047558892 0.0009967209 0.0018709982 0.00032776064 0.0006689602 0.0012192099 0.00043900515 0.00041511373 0.00041959336 0.0009257932 0.00041810016 0.0004711093 0.00040764766 0.001167694 0.00036733085 0.00044796444 0.00048678805 0.0013565856 0.0006353629 0.0005024668 0.0006831458 0.0010788477 0.0008951823 0.0004330323 0.00050470664 0.004292246 0.0016992785 0.0050918628 0.0005950461 0.0011512686 0.00074212777 0.00065178826 0.0005823538 0.0066948286 0.00083022745 0.0009466982 0.0038203902 0.0018463602 0.0004121273 0.001671654 0.0013558391 0.0017791655 0.0013252281 0.00043975178 0.0007257024 0.0012356353 0.00035613173 0.00054577005 0.0007197295 0.0016626947 0.00057488773 0.0012431013 0.00065029506 0.001365545 0.00043452551 0.0006540281 0.00055696914 0.002700479 0.0005241184 0.0005218786 0.0013633051 0.0014991877 0.00050619984 0.00057936733 0.00041660693 0.0021674014 0.0005480098 0.00045617713 0.00074660743 0.001962831 0.0010534631 0.0004546839 0.00043900515 0.025156938 0.0017530342 0.0005644352 0.0023898904 0.003128285 0.0005203854 0.00047558892 0.00046737623 0.0030461582 0.00052934466 0.0006137113 0.00056518184 0.0027721534 0.00044721784 0.0008421732 0.0020031477 0.004266115 0.00076303276 0.0023921302 0.0054054377 0.009066054 0.0058444426 0.006757544 0.068121955 0.34811202 0.0 0.0 8.218965e-06 4.8566612e-06 3.7358933e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.5317162e-05 1.04605015e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 2.9887146e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 7.4717864e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020528734 2.3162538e-05 3.250227e-05 9.7133225e-06 1.718511e-05 1.120768e-05 3.7358932e-05 1.7932287e-05 2.0921003e-05 0.0 1.4943573e-06 7.0981973e-06 1.3075626e-05 5.9774293e-06 1.8679466e-06 4.2962773e-05 0.0031459958 2.727202e-05 0.00010834091 4.1468415e-05 0.00014233754 6.64989e-05 6.6125314e-05 3.8479702e-05 1.0086912e-05 1.9053055e-05 9.7133225e-06 2.4656896e-05 2.8766379e-05 7.845376e-06 7.0981973e-06 8.181606e-05 0.0018025686 5.8279937e-05 2.4283307e-05 3.1007916e-05 4.2962773e-05 1.5690752e-05 4.2215594e-05 2.839279e-05 2.5030486e-05 1.681152e-05 1.1581269e-05 2.6151252e-05 2.0547413e-05 1.6064341e-05 8.592555e-06 0.00012515242 0.001666582 1.3449216e-05 2.4656896e-05 3.5490986e-05 8.0695296e-05 6.6125314e-05 0.0001572811 0.000102363476 7.35971e-05 3.7358932e-06 1.4943573e-06 4.4830717e-06 2.80192e-05 1.2702037e-05 5.2302507e-06 1.9426645e-05 0.0010983526 4.520431e-05 5.3796863e-05 4.0721236e-05 6.4630956e-05 1.6064341e-05 2.3909717e-05 7.02348e-05 2.5030486e-05 3.362304e-06 7.845376e-06 3.362304e-06 7.4717864e-06 8.218965e-06 3.2128683e-05 2.9887146e-05 0.0033014088 5.8653524e-05 0.00014308472 0.00033473605 0.00087980286 0.00052638736 0.0023465145 0.0012481619 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.0027839877 0.00013187704 0.0005674822 0.0014080582 0.0021473914 0.0013251214 0.0019505098 0.0013523934 0.00013523933 4.9313792e-05 5.566481e-05 8.5551954e-05 7.957453e-05 5.006097e-05 4.7819434e-05 7.172915e-05 0.0033014088 0.00011618628 0.00023835 0.0003676119 0.0008898898 0.0004755792 0.0006336075 0.0004158049 0.0006392113 0.00023311975 7.733299e-05 0.00012888832 0.00014794138 9.414451e-05 0.00024395384 0.0011783007 0.0060080634 0.0011121754 0.0013837749 0.013448842 0.0013841485 0.0011259982 0.0019770346 0.0015814037 0.0022628305 0.0011088131 0.0011708289 0.0012765548 0.001130855 0.001144304 0.0017596057 0.0057360907 0.011862208 0.0012093086 0.0025093996 0.0021671916 0.0036290467 0.002513509 0.0022661928 0.0015713167 0.008840244 0.0018705617 0.001024382 0.002220615 0.0018713089 0.0011906292 0.0032636763 0.015494618 0.040723477 0.0049975044 0.007846497 0.005981165 0.014688038 0.01248685 0.008068782 0.0065740515 0.028691286 0.0044871815 0.0032655443 0.0074516125 0.008358687 0.005189903 0.016368816 0.045172554 0.04942998 0.008104647 0.0109435525 0.010052541 0.019138234 0.01975279 0.0126953125 0.00928631 0.031751357 0.004461404 0.0051723444 0.009375972 0.012690456 0.007276773 0.02022239 0.04508588 0.00042850696 0.00023984435 0.00026039177 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3879.0 14.645012 56808.0 0.01635333 0.0015138712 0.0026580764 0.0017779187 0.0027108858 0.0012322208 0.001830728 0.0029573299 0.0055273906 0.0048584705 0.0015314744 0.0059850723 0.0028869174 0.0019715533 0.009892973 0.0070060557 0.017374314 0.017039854 0.019504296 0.01712787 0.013695254 0.012568653 0.015244332 0.01568441 0.015860442 0.014416983 0.010333052 0.015666807 0.010861146 0.012322208 0.009857766 0.0073581184 0.0031333615 0.012480636 0.0061787074 0.010473877 0.011776511 0.011318828 0.00915364 0.010121814 0.006266723 0.011477257 0.004400789 0.006143501 0.008766371 0.008308689 0.008783974 0.00719969 0.011512463 0.026862415 0.008625546 0.017321505 0.010597099 0.008255879 0.009276862 0.012251795 0.008467117 0.008431911 0.0070940712 0.0052105337 0.0044888044 0.0049640895 0.004664836 0.0047528516 0.0024820447 0.02080693 0.007217293 0.014663428 0.017620757 0.044888046 0.009118434 0.010649908 0.013026334 0.022003943 0.0056506125 0.008924799 0.025788622 0.012128574 0.023130545 0.024855655 0.009400085 0.00457682 0.025454162 0.0184129 0.029890155 0.013255175 0.008731165 0.008924799 0.0071292776 0.011248415 0.0057562315 0.002834108 0.0015490776 0.0030981551 0.0015314744 0.00088015775 6.2555447 0.0 0.0 0.0 68.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.620191 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6634803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.342981 0.0 0.0 0.0 0.0 0.0 0.0 -3.875565 6.7831097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6280.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.17518134 0.012790312 0.0075281863 0.0059160762 0.011942113 0.007120315 0.003947926 0.0033065698 0.011803572 0.002166273 0.003573963 0.002527157 0.00893297 0.0023735997 0.0019463518 0.010655525 0.007863397 0.0020974872 0.0012081139 0.0021154103 0.0050359066 0.0022059944 0.0014503179 0.0012119891 0.0031917652 0.0008893733 0.00095186196 0.0013834696 0.002285922 0.0006510445 0.00070820464 0.0010317892 0.0054273084 0.0008496518 0.0006331214 0.0008966394 0.0064683016 0.0012754466 0.0008491674 0.000764396 0.001610657 0.0006684832 0.00076730247 0.001932304 0.0014227066 0.0023600364 0.0013834696 0.00061374507 0.0059112324 0.0054936726 0.004684711 0.008882107 0.0052146534 0.004603815 0.00441974 0.004241477 0.0052756886 0.005309113 0.001012413 0.0038050257 0.0013616713 0.0011388435 0.0010032092 0.0016765365 0.0032862246 0.0056990613 0.0043504694 0.0049511353 0.00616264 0.01303736 0.007154708 0.0020858613 0.0019511959 0.00117033 0.00079055404 0.0009135937 0.0020306387 0.0059698457 0.0018848319 0.0012483197 0.010199698 0.0033060855 0.0012076295 0.0039159553 0.003221314 0.006812231 0.0065971543 0.0050547984 0.0016561913 0.006624765 0.0012802907 0.0029311534 0.00487363 0.005931577 0.0037967907 0.0038127762 0.0024089615 0.009056979 0.0021948533 0.0041194065 0.00398571 0.009677021 0.005068362 0.0014178626 0.0060337875 0.0045776567 0.0065545263 0.00094265817 0.0043911594 0.0020480775 0.0043044505 0.0066165305 0.003114744 0.0005793521 0.007575174 0.00702634 0.013439903 0.011614653 0.002109113 0.0026235543 0.0019516803 0.0016683015 0.00061035424 0.00082543143 0.0013703905 0.0027650015 0.0012555858 0.0012328187 0.0024811383 0.0015927339 0.00051056617 0.012937572 0.0044681802 0.008055222 0.0005623978 0.0005066909 0.0014958523 0.012940963 0.0012032697 0.034600787 0.0008554647 0.014765244 0.00039140176 0.0003875265 0.0009877081 0.0003705722 0.0003095368 0.0003826824 0.0008409325 0.00076730247 0.00031922496 0.0003279443 0.00076052075 0.00060647895 0.00034102332 0.00041707538 0.00083366636 0.00075664546 0.00039285497 0.0005599758 0.0009693006 0.0011732364 0.00034974265 0.0004655162 0.00074405083 0.0005250984 0.0003579776 0.0003279443 0.0012609144 0.00054011506 0.00047181352 0.0009978807 0.0009736603 0.00042821676 0.00038026038 0.00043402967 0.0013621557 0.001257039 0.00047326673 0.0005943687 0.001122858 0.0009678474 0.0009145625 0.0008898577 0.0013146836 0.00093926734 0.00061374507 0.0005134726 0.0008544959 0.00072079926 0.0005895247 0.00072612776 0.0086462 0.004023978 0.0029703905 0.004727823 0.0045636087 0.001254617 0.0030115652 0.0050567365 0.0025731758 0.0023886163 0.0011344838 0.0013742658 0.008983833 0.00086224644 0.0018431728 0.0013180745 0.0017085074 0.0011557977 0.0014285195 0.00063651224 0.0011441719 0.00052752043 0.0007411444 0.0006224644 0.0016939752 0.00083124434 0.0005066909 0.0014832576 0.0011432031 0.00053284894 0.0005013624 0.00060551014 0.0017894036 0.00060066604 0.0005439903 0.00083221315 0.0025644565 0.002272843 0.0005129882 0.0004538904 0.02011989 0.0021129881 0.00049748714 0.0039905543 0.005436028 0.00048586132 0.0006258553 0.0011417499 0.00293406 0.0015854677 0.0017850439 0.0015912807 0.0021783833 0.0012337875 0.003376809 0.002392976 0.005082894 0.0027364215 0.002021435 0.0018644868 0.0052340296 0.0020030276 0.0035792915 0.05042107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018859681 7.224817e-05 0.0 7.273306e-07 8.97041e-06 0.0 0.0 1.9395482e-06 8.97041e-06 0.0 0.0 0.0 7.2733055e-06 0.0 0.0 0.0 0.008924103 0.00043761055 9.697741e-07 1.9637926e-05 0.0001287375 1.9395482e-06 2.1819917e-06 3.1517657e-06 8.340057e-05 4.8488704e-07 3.3942092e-06 0.00024826216 6.764174e-05 9.697741e-07 0.0 8.000637e-06 0.0041942727 0.00028268914 1.0909958e-05 4.67916e-05 8.752211e-05 4.8488704e-07 9.697741e-07 7.758193e-06 5.4792235e-05 1.1394845e-05 7.2733055e-06 0.0001665587 5.164047e-05 4.8488704e-07 1.4546612e-06 4.0245624e-05 0.0035971345 0.0003988196 3.3942092e-06 3.7093858e-05 0.00014473878 1.6971046e-06 0.0004790684 7.758193e-06 8.218835e-05 1.794082e-05 7.758193e-06 0.00010788737 5.042825e-05 7.273306e-07 9.697741e-07 2.7638562e-05 0.009504271 0.00025044417 5.842889e-05 0.019979285 0.011884823 0.00013843525 0.00097510783 0.0004460961 0.00033748138 1.721349e-05 3.297232e-05 4.5821824e-05 3.0062996e-05 3.321476e-05 2.4244351e-05 0.00043276168 0.0052125356 0.00017310468 0.000233958 0.0003314203 0.00021456252 0.00019201527 0.0011394846 0.0004662189 0.00023589755 5.091314e-05 0.00014231434 3.660897e-05 4.4367163e-05 4.0972955e-05 3.248743e-05 0.00039057652 0.052231304 0.00063302 0.0021950835 0.011486974 0.0039884383 0.0023621272 0.0167303 0.009360259 0.0001197671 0.00010206872 0.00020874388 0.00010376583 0.00010497805 0.00023856442 9.794718e-05 0.0023206694 0.02731296 0.0009692892 0.0022447845 0.0038786114 0.0019094852 0.0022309653 0.011188769 0.006207524 0.0004931301 0.00014886032 0.00027759784 0.00014352656 0.00020268279 0.000229594 0.0001665587 0.002475106 0.0111902235 0.0011547585 0.002191447 0.0022818784 0.0022176309 0.0022923036 0.010506048 0.005587596 0.00022910912 0.00017504422 0.0003042666 0.00025311104 0.00026886986 0.00032560164 0.00028317404 0.00046088515 0.009294315 0.0022993344 0.0011622743 0.0020265854 0.0017926274 0.0016423124 0.004309676 0.0022452695 0.00031323702 0.00046209735 0.0006778721 0.00043494368 0.00041433598 0.0006044117 0.00052222336 0.00059689593 0.0060853325 0.001865118 0.0006834483 0.00080030604 0.0008643111 0.0013397429 0.002541293 0.001243008 0.00042088196 0.00036124085 0.0007089049 0.00054331595 0.00057337893 0.0004618549 0.00067835697 0.0006904791 0.009267404 0.0015118778 0.0014602373 0.0012796168 0.0016326146 0.0019717931 0.0023085473 0.0015947935 0.0036029532 0.0005682876 0.0007622424 0.0010058981 0.0021599294 0.0009838358 0.0014132033 0.0037299935 0.08457933 0.015600514 0.011487459 0.014094211 0.02496756 0.03778288 0.014126942 0.020713404 0.06215064 0.0043024025 0.004288099 0.006459423 0.034902897 0.007252213 0.026078923 0.052265733 0.03738964 0.008206471 0.005800946 0.0073491903 0.012480265 0.02095803 0.008757545 0.011583951 0.029273115 0.0024060095 0.0026688182 0.0038710956 0.01550693 0.00468813 0.014342232 0.026236996 0.00070429844 0.00034717913 0.00037166593 0.00046112758 0.00039009162 0.00034839133 0.00039033405 0.00034523956 0.00041676042 0.0003481489 0.00031493412 0.00044294432 0.0003765148 0.00041579065 0.0003593013 0.00042209416 6565.0 29.792994 195591.0 0.026177073 0.00033743883 0.00042946762 0.00043458032 0.0021729015 0.00086404796 0.00025052277 0.0028784554 0.0013293045 0.00091006234 0.000316988 0.000669765 0.0013650935 0.001232163 0.003558446 0.0018917025 0.032649763 0.032128267 0.03230721 0.03277758 0.0329054 0.0320209 0.031847067 0.031576093 0.032971866 0.03252706 0.004105506 0.0013702062 0.00083337165 0.0007822446 0.0007260048 0.00046525657 0.00077201915 0.034797102 0.033299077 0.035385065 0.035175443 0.034045532 0.03488913 0.0009407386 0.0011247961 0.0031034148 0.00012270504 0.0004192422 0.001779223 0.0016769688 0.0015287002 0.0022853813 0.0045451988 0.0009765276 0.0030931893 0.0060790116 0.0025819184 0.002305832 0.0034306282 0.003026724 0.0005777362 0.0011043453 0.00030676258 0.0011810359 0.009448287 0.0007311175 0.0008896115 0.008614915 0.00080780813 0.026534963 0.00737764 0.016089698 0.015690906 0.044352755 0.0063653234 0.005741573 0.008666043 0.022429457 0.0026534963 0.0024745516 0.018441543 0.00877341 0.019786187 0.025307912 0.01066 0.00038856594 0.03170391 0.022276076 0.026759923 0.011232623 0.0050360193 0.0036913764 0.0023927481 0.0048877504 0.0009407386 0.00012781774 0.00050104555 0.00018917026 0.00024029736 0.00042946762 5.5408273 0.0 6.0 0.0 13.0 2064375.0 3047424.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1481732500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1351168.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 -512.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 796672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1352192.0 0.0 760320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.372485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.713837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25.0 -36.0 0.0 -65488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 796646.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1352010.0 0.0 760144.0 0.0 0.0 0.0 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 1124.0 2141632.0 440.0 2142756.0 760144.0 2220032.0 0.0 0.0 5112.0 3012608.0 65488.0 2981888.0 56.0 2133232.0 0.0 0.0 0.0 0.0 24.0 2133288.0 64.0 2118448.0 0.0 0.0 1560.0 1355776.0 64.0 2141524.0 0.0 0.0


Input: 0.122386776 0.0028074475 0.0012590729 0.001216968 0.0019449757 0.000785053 0.0008081428 0.0007660379 0.0021677243 0.0006234245 0.0006139169 0.0005949018 0.0015307176 0.0005826778 0.00045228834 0.0018906468 0.0015728225 0.0004971097 0.00040746696 0.0005025426 0.0008257997 0.00065058895 0.00050797546 0.00034091403 0.00066009647 0.00047130347 0.00033955582 0.0004332732 0.00068182807 0.0030709428 0.00034770515 0.0004957515 0.0011653556 0.00047673634 0.00041561632 0.00057996134 0.00086383 0.00045228834 0.00039931762 0.0004943932 0.00057996134 0.00048760214 0.0003870936 0.0005826778 0.00054057286 0.001216968 0.0004617959 0.00030560023 0.0009548309 0.00061934977 0.00085160596 0.0016325844 0.0007524557 0.000772829 0.00061120046 0.0004916768 0.00083123264 0.0008040682 0.00060033466 0.0011327582 0.00048081102 0.00077962014 0.000431915 0.0008475313 0.00085703883 0.0007062761 0.0005731702 0.00064787245 0.0006831863 0.0020454843 0.0009263082 0.00060984225 0.0005663791 0.0005555133 0.0003517798 0.00029065978 0.0005636626 0.0010499066 0.00058675243 0.0003449887 0.0014804633 0.0007347988 0.000456363 0.0007891277 0.00048624392 0.0010512648 0.0010254586 0.0009290247 0.00055143866 0.0011572061 0.00038845185 0.0005500804 0.00053649815 0.0011368329 0.00092087535 0.00074023166 0.0008257997 0.0009059349 0.0004848857 0.0006560218 0.0006831863 0.0012495654 0.001356865 0.00037758605 0.00079863524 0.0007945606 0.0011490568 0.0004780946 0.0007823366 0.00062885735 0.0007673961 0.0008366655 0.00077962014 0.00044142254 0.0009548309 0.0008774122 0.00250728 0.002500489 0.0006370067 0.00045772124 0.00055143866 0.0005242742 0.0005432893 0.00035585448 0.0006614547 0.0024285032 0.00047130347 0.0006533054 0.00087197934 0.00071985833 0.00033819757 0.002822388 0.00079863524 0.0017779142 0.00066281296 0.00085024774 0.00067639514 0.0021011713 0.0006044093 0.005731702 0.00045093012 0.0015959123 0.00031510778 0.00045093012 0.0005949018 0.00041697454 0.000304242 0.0003680785 0.00061934977 0.00043055677 0.00030152555 0.00032461536 0.000468587 0.00034091403 0.00040746696 0.0003680785 0.00039388472 0.0003680785 0.00033955582 0.0003517798 0.0006655294 0.000571812 0.00035449627 0.00034770515 0.00036400382 0.000304242 0.00026621175 0.0002811522 0.00047537812 0.00033955582 0.00033683935 0.00041833275 0.0004332732 0.00030152555 0.00035857092 0.0002974509 0.0006641712 0.0003273318 0.0002974509 0.00049982616 0.00046043767 0.00041425807 0.00041289986 0.00057860307 0.0006044093 0.0004210492 0.00046043767 0.0003517798 0.00041969097 0.00061799155 0.00041289986 0.00041154164 0.0019463339 0.0011151013 0.0007538139 0.0013256259 0.0008339491 0.0003680785 0.0008339491 0.00086790463 0.00079184416 0.0008353073 0.00040067584 0.00033140648 0.0011327582 0.0005378564 0.0004631541 0.00044685544 0.0007022014 0.0005025426 0.0005229159 0.0004631541 0.0005201995 0.00038030252 0.00048760214 0.00041425807 0.00058811065 0.0006954103 0.0003680785 0.00063972315 0.00040610874 0.000608484 0.00038981007 0.00041833275 0.00076060503 0.0004971097 0.00030695845 0.00036536204 0.00054872216 0.00053513993 0.00038437717 0.000468587 0.0027463273 0.0009263082 0.0003966012 0.0012699388 0.0010947279 0.00041697454 0.00038301895 0.00032869002 0.0010308914 0.00044549722 0.0004848857 0.0005446475 0.0007008432 0.00038166074 0.00082036684 0.00079048594 0.001283521 0.0005025426 0.000493035 0.0003979594 0.0013093272 0.00051069196 0.0010145927 0.6894749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052126404 0.00021081782 0.00031894696 0.00013465137 0.0002570617 0.00015097276 0.00036655096 0.00026590246 0.00014825253 4.9644193e-05 4.4883793e-05 4.556385e-05 4.8964135e-05 8.432713e-05 9.7248216e-05 0.0009201177 0.00087455387 7.208609e-05 2.1081782e-05 0.00012105022 8.9767585e-05 1.8361552e-05 3.3322816e-05 2.1081782e-05 1.4961264e-05 1.8361552e-05 1.9041609e-05 2.7202299e-05 1.7001435e-05 1.36011495e-05 1.1560976e-05 1.9721667e-05 0.0030827005 0.0002523013 0.00030738596 0.00012037017 0.00031894696 0.00017205454 0.0013669155 0.0010398078 8.63673e-05 6.052511e-05 2.2441896e-05 2.9922528e-05 5.2364423e-05 2.1081782e-05 1.2921091e-05 1.7681494e-05 0.003386006 0.0006147719 0.00042639603 0.0002495811 0.000260462 0.00014009184 0.0010289269 0.0010466084 0.0002237389 0.00018089528 7.8206605e-05 9.5208045e-05 8.296701e-05 6.460546e-05 4.6243906e-05 0.0004318365 0.0043863705 0.00064537453 0.0003801521 0.0027066288 0.0004427174 0.00038287236 0.0010003645 0.00088951515 0.00037335153 0.00038627264 0.00033050793 0.00031690678 0.000509363 0.000378792 0.00026386228 0.00053452514 0.001609016 0.00021829845 0.00016457391 0.00024414062 0.00014961264 0.0002461808 0.0001550531 0.00025978195 0.0009915237 0.00021489816 0.00018429557 0.00023938023 0.00032710764 0.00013669155 0.00021625827 0.0016069758 0.009655456 0.0017307462 0.0011159743 0.0019728467 0.0017817505 0.002163943 0.0014165597 0.002591699 0.0049324566 0.0006106916 0.00065149507 0.0008582325 0.002472689 0.00087659404 0.002023851 0.00414223 0.012349163 0.0038396043 0.0018545167 0.0026427032 0.0036899918 0.0050841095 0.002414884 0.0046815155 0.009399074 0.0007086199 0.0009840431 0.0011513373 0.0050739087 0.0020027691 0.00449994 0.007868945 0.0037573173 0.0024767693 0.002296554 0.0023638797 0.0024318853 0.0024196445 0.0024250848 0.0025073718 0.0028888842 0.002261871 0.0021367406 0.002284993 0.0026359027 0.0022564307 0.002510092 0.0027365512 577.0 10.708838 6179.0 0.03333873 0.0025894158 0.0021039003 0.0027512542 0.0035604467 0.0030749312 0.0019420618 0.008901116 0.006635378 0.0033986082 0.0027512542 0.0030749312 0.0051788315 0.0033986082 0.0046933163 0.0027512542 0.011652371 0.012623402 0.019420618 0.01909694 0.016831202 0.017316718 0.011166856 0.012299725 0.015860172 0.011166856 0.007282732 0.0074445703 0.0067972164 0.010843178 0.0058261855 0.010519502 0.005664347 0.007930086 0.0043696393 0.009224794 0.0064735394 0.007282732 0.008091925 0.009062955 0.008415601 0.005988024 0.0027512542 0.0027512542 0.007930086 0.006311701 0.0051788315 0.0035604467 0.018773265 0.0051788315 0.0058261855 0.011328694 0.008739279 0.0035604467 0.00954847 0.010519502 0.006311701 0.0045314776 0.0038841236 0.0040459624 0.0048551545 0.0048551545 0.0037222852 0.008901116 0.010357663 0.030749312 0.0074445703 0.025408642 0.022171872 0.057452664 0.008415601 0.00954847 0.0100339865 0.024437612 0.007606409 0.0029130927 0.029292766 0.007930086 0.023142904 0.031396665 0.013432594 0.0030749312 0.03819388 0.023304742 0.04806603 0.016345687 0.006635378 0.0040459624 0.0100339865 0.009224794 0.0029130927 0.0027512542 0.0033986082 0.0024275773 0.0024275773 0.0035604467 6.0984015 0.0 0.0 0.0 7.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18.0 4.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.685002 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4289256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9364014 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84211.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.056677375 0.008306979 0.0061800117 0.005661214 0.005756482 0.004974661 0.004198017 0.0054178652 0.005050254 0.005616686 0.0037413507 0.004469325 0.0049529145 0.0031821674 0.0043253866 0.0046432926 0.0050554317 0.0037610258 0.00493324 0.004156596 0.0043543815 0.0031821674 0.0041058557 0.0038407613 0.0050782133 0.0033426739 0.0031759543 0.002930535 0.004146241 0.0034389775 0.0037848428 0.0037889848 0.0061779404 0.003816944 0.0034917893 0.0030237322 0.004886641 0.004167987 0.00383869 0.0037154627 0.00473649 0.0038946085 0.0033385316 0.0030993253 0.00436163 0.0037164981 0.0037237469 0.0035787735 0.0055172755 0.00395674 0.003106574 0.002889114 0.0036740417 0.003080686 0.0026871867 0.0028632258 0.0041742 0.0033250698 0.0035280327 0.0033519934 0.0040074806 0.0032339436 0.0034959314 0.003455546 0.006603541 0.003954669 0.0036201945 0.0032246239 0.0041493475 0.0032121977 0.0035373524 0.0030651533 0.0050057266 0.003777594 0.0037113205 0.0035911996 0.0041358857 0.003122107 0.003562205 0.0034586526 0.005163126 0.0036284786 0.0036512602 0.0033343895 0.0039267098 0.003376846 0.0033613131 0.0035487432 0.004649506 0.0036564379 0.0038117664 0.0035083578 0.0041079265 0.0033851303 0.0036812904 0.0037858784 0.0059076683 0.0036305496 0.0033416383 0.0029491743 0.0040126583 0.0030475492 0.003268116 0.003037194 0.0049663763 0.0031645636 0.0031914872 0.0030475492 0.0035715248 0.0028466575 0.0030837925 0.003181132 0.0045066033 0.0032805423 0.0032173754 0.003135569 0.0038852887 0.0033323185 0.0032908975 0.003625372 0.0046287957 0.003289862 0.0034783275 0.0031738833 0.0040323334 0.0031925228 0.0034721144 0.0033385316 0.008641453 0.004598765 0.0040147295 0.0035301037 0.004359559 0.0034431196 0.0030185545 0.0033882367 0.004535598 0.0038335125 0.0029595296 0.0031821674 0.003732031 0.00279281 0.0028373378 0.00298956 0.0052294 0.0032163397 0.003494896 0.0030226966 0.0036740417 0.003181132 0.0033033239 0.0032753646 0.0045418115 0.00283216 0.003041336 0.0026923642 0.003518713 0.0032277305 0.002976098 0.0031562792 0.005017117 0.003412054 0.0032629385 0.0027969521 0.0037765587 0.0030154479 0.0030485848 0.0031821674 0.0041338145 0.002995773 0.003122107 0.0030154479 0.003647118 0.0028394088 0.0029170732 0.003043407 0.004665039 0.0031158938 0.0038449033 0.002855977 0.003564276 0.003161457 0.0029823112 0.0031231425 0.0042580776 0.0031500661 0.0033364606 0.0031666346 0.0036491891 0.0032018423 0.0033271408 0.003344745 0.0067122714 0.004063399 0.0037216758 0.0033343895 0.004130708 0.0032536187 0.0032991818 0.0032318726 0.0043316 0.0033354252 0.0031158938 0.003076544 0.0036398694 0.0029792045 0.0030775794 0.0027990234 0.0042539355 0.0032784713 0.0031013966 0.002995773 0.0037185692 0.0030123414 0.0029408901 0.0029388191 0.0039702016 0.0031158938 0.002727572 0.0026478367 0.0035425301 0.0029533166 0.0035901642 0.002889114 0.004954986 0.0032474054 0.0033954855 0.0029719558 0.0038034823 0.0030734374 0.0031935582 0.0029118955 0.00444033 0.00545618 0.0034710788 0.0031386754 0.0037962336 0.0030868992 0.003242228 0.0031780254 0.0046091205 0.0033323185 0.003414125 0.0030444427 0.0037434218 0.0030972543 0.0033188567 0.0032370503 0.00435231 0.0030320163 0.0031780254 0.0028611547 0.004004374 0.0030900058 0.0042332252 0.004514888 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099201955 0.062034007 0.062462162 0.05534787 0.06061011 0.059568238 0.05491972 0.054451134 0.06044839 0.053157862 0.05212895 0.052951563 0.056421883 0.05058946 0.056662396 0.053842597 4036.0 5.7024283 23015.0 0.01720617 0.010558331 0.009602433 0.008603085 0.013556376 0.012470128 0.011818379 0.01142733 0.012643928 0.009645883 0.008472735 0.008733435 0.013817076 0.010471432 0.011688029 0.009863133 0.01664132 0.011992179 0.008646535 0.007473387 0.009819683 0.008559635 0.007820986 0.008516185 0.010210732 0.008603085 0.009558983 0.008907234 0.01142733 0.009124484 0.009558983 0.009167934 0.018118618 0.010862481 0.010297632 0.008994134 0.010775581 0.008820334 0.010819031 0.008298935 0.014338475 0.011688029 0.009732783 0.008950684 0.01151423 0.009298284 0.0116445795 0.009558983 0.014772974 0.009558983 0.009993482 0.009167934 0.012122529 0.009428633 0.009515533 0.009732783 0.013686726 0.009211384 0.010471432 0.009472083 0.01121008 0.0099065825 0.010341082 0.010688681 0.017857919 0.011036281 0.009645883 0.008168586 0.013078427 0.0082120355 0.009385183 0.008342385 0.015424723 0.009254834 0.008907234 0.008646535 0.01134043 0.008038236 0.0099065825 0.007907886 0.013121877 0.008081686 0.008646535 0.008733435 0.01142733 0.009558983 0.008429285 0.007951336 0.01112318 0.008863784 0.011818379 0.008472735 0.01121008 0.008907234 0.010123832 0.0087768845 6.55476 0.0 0.0 0.0 14.0 965694.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0