Input: 0.1556766 0.013032102 0.00720791 0.0071911374 0.010071785 0.0042266278 0.0042643654 0.003786354 0.009342189 0.002620677 0.003031599 0.0028009794 0.006717319 0.0031406193 0.0016353024 0.01082654 0.006998256 0.0036689476 0.0012034149 0.0021091208 0.003987622 0.0035557344 0.0016730401 0.0013753313 0.0042727515 0.0018785013 0.0011866426 0.0011027808 0.0032580255 0.0014885445 0.0011782564 0.0014214552 0.005388112 0.0010105331 0.0014214552 0.001966556 0.0034634867 0.0018868874 0.0011740633 0.0014382275 0.0020168729 0.00068347255 0.0010189192 0.002167824 0.0018449565 0.0036689476 0.0019581697 0.0012746972 0.00821425 0.0045327228 0.0031867432 0.007568515 0.003027406 0.0026626077 0.0020420314 0.002167824 0.003027406 0.0026584147 0.0019749422 0.0070192213 0.0027296972 0.0032202879 0.0018365704 0.0031028816 0.010256281 0.004453054 0.0023648988 0.010625273 0.0021929825 0.010683976 0.0033041495 0.0020420314 0.002469726 0.0016940056 0.0011824494 0.0008679682 0.0017694811 0.0050107343 0.0020084868 0.0009686022 0.008096843 0.002876455 0.0013543658 0.0039205328 0.0018826943 0.005451008 0.005107175 0.0037570025 0.0021007347 0.003677334 0.0011027808 0.0023355472 0.0016520747 0.005199423 0.0038953742 0.003434135 0.001614337 0.0034257488 0.0011824494 0.0024152158 0.00323706 0.005455201 0.0071995235 0.001262118 0.0039498843 0.0039750426 0.0056271176 0.001266311 0.003031599 0.002276844 0.0031951293 0.0044614403 0.0038157057 0.0013837174 0.0051784576 0.0047214115 0.014596122 0.011866425 0.00217621 0.0018407635 0.00206719 0.0016772333 0.0010692362 0.00068347255 0.0014214552 0.0023439336 0.001513703 0.0018030257 0.0037444232 0.0030609507 0.0023523197 0.014600315 0.0038198987 0.015606655 0.0014466137 0.00096021604 0.0026080976 0.011891584 0.001765288 0.032127403 0.0018114119 0.011296166 0.0006667002 0.0005744524 0.0016856194 0.0005325216 0.000553487 0.0007170172 0.0013543658 0.0014549998 0.0005409077 0.00070863107 0.0011908356 0.0005954178 0.00055768003 0.00068766566 0.0010734292 0.0014172621 0.000553487 0.0006121901 0.0017443226 0.002163631 0.0006708933 0.0010860085 0.0013166281 0.0008134581 0.0005912247 0.0005409077 0.0015765992 0.0006499279 0.00045285298 0.0007170172 0.0009140921 0.0005451008 0.00064154173 0.00060380396 0.001714971 0.0005954178 0.0005367146 0.00067927944 0.0011908356 0.0014466137 0.0012537319 0.002318775 0.0020923484 0.0015807924 0.0015640199 0.0007924927 0.0012411526 0.0014088759 0.0010943947 0.0011153601 0.00888095 0.0047801146 0.002826138 0.0058074202 0.004411123 0.0009769883 0.002922579 0.0069353594 0.003383818 0.002821945 0.0012956627 0.0011363255 0.010704941 0.0009811814 0.0020504177 0.0014801583 0.0023355472 0.0015891785 0.0019875213 0.0010985878 0.001413069 0.00058703165 0.0011740633 0.00095602294 0.0021887894 0.0014801583 0.0009308644 0.0018449565 0.0014382275 0.0015304753 0.00076314114 0.00085958204 0.0029645097 0.0011195532 0.00080087886 0.00064154173 0.0027213108 0.0023732851 0.00089731975 0.00072540337 0.014126497 0.002977089 0.0007379826 0.0054258495 0.0051700715 0.0007337895 0.0008511959 0.0010943947 0.005258126 0.001463386 0.0010860085 0.0013459796 0.0027800142 0.0009895676 0.0054929387 0.002180403 0.0058661234 0.002218141 0.0020084868 0.0016269162 0.0055432557 0.0026542216 0.006562175 0.061013553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035469087 0.00011625744 0.00013528139 6.341315e-06 0.00010568858 6.341315e-05 0.000118371216 7.820955e-05 1.9023944e-05 4.2275433e-06 2.9592804e-05 1.0568859e-05 6.341315e-06 2.1137717e-05 1.268263e-05 5.495806e-05 0.0056712492 3.804789e-05 0.0003952753 0.000536898 7.398201e-05 5.495806e-05 0.000906808 0.0005664908 4.861675e-05 3.804789e-05 6.1299375e-05 4.2275435e-05 3.5934117e-05 6.341315e-05 4.6502977e-05 7.820955e-05 0.013247007 0.00025153882 0.0013168798 0.00012048498 0.0012238738 0.00045234713 0.002194095 0.0013824067 0.0001268263 3.3820346e-05 3.3820346e-05 3.804789e-05 4.861675e-05 0.00014796402 5.073052e-05 0.0009765625 0.012676288 0.00045657466 0.00080111943 0.00028747294 0.0014458199 0.00042275432 0.0019869453 0.0012619217 0.00017755682 9.9347264e-05 7.609578e-05 0.00014585024 0.00014796402 0.0002451975 8.666464e-05 0.0013274486 0.0189711 0.0007630716 0.0017713406 0.0014880953 0.006246195 0.001638173 0.006248309 0.003221388 0.00040795794 0.00026422145 0.00028535916 0.00038259267 0.0002980418 0.00035511365 0.0002451975 0.000703886 0.008476225 0.0003276346 0.0008264847 0.00062144885 0.0011815984 0.0005918561 0.0021179991 0.0013443588 0.00024942507 0.00021771848 0.00021137716 0.00020714963 0.00025788014 0.00020503585 0.00021137716 0.000268449 0.015603863 0.0019150771 0.0022448255 0.018106569 0.002342059 0.0026316456 0.0059629497 0.0039400705 0.0017840232 0.0014754126 0.001407772 0.001471185 0.0015240293 0.001638173 0.0013781791 0.0015092329 0.01695879 0.0019383286 0.0020609275 0.004424124 0.0033989449 0.0024583165 0.0026591248 0.0026358732 0.0126784025 0.0016889035 0.0012450115 0.0020524722 0.0047982614 0.001758658 0.0025555498 0.018939395 0.07410249 0.012790432 0.0072523504 0.013039857 0.019417107 0.019138088 0.0106428405 0.017762024 0.04664037 0.0032636635 0.0035257712 0.0067788656 0.023974398 0.00562686 0.016436689 0.044283517 0.06780345 0.017825436 0.011312906 0.016153444 0.022712477 0.024741696 0.015039485 0.02130259 0.043118827 0.0036420284 0.0045572915 0.0062821293 0.027269768 0.008562889 0.018992238 0.037003685 0.0077342903 0.0038745434 0.0040690103 0.0040859208 0.0038914536 0.0037033278 0.005311908 0.0046672076 0.0036821903 0.003386262 0.0034856095 0.0031727713 0.0033080527 0.0035194298 0.0035046334 0.0035384537 1180.0 13.087288 15443.0 0.025448423 0.001748365 0.0034319756 0.0026549245 0.006475426 0.002266399 0.001748365 0.0016836107 0.003302467 0.0021368905 0.0012950852 0.002784433 0.002784433 0.0062164087 0.014634462 0.008547562 0.028038593 0.023894321 0.017742667 0.0130156055 0.012562326 0.010619698 0.012173801 0.010166419 0.012238555 0.009195104 0.009389367 0.009777893 0.011267241 0.007576248 0.00744674 0.009065596 0.008547562 0.011331995 0.0016836107 0.014828725 0.0062164087 0.006281163 0.0053746034 0.0061516543 0.004468044 0.008871334 0.0016188564 0.0023311533 0.004727061 0.007900019 0.0061516543 0.0029786958 0.01703037 0.0041442723 0.0077057565 0.014051674 0.009972156 0.0049213236 0.011072978 0.009842647 0.0058926377 0.0023311533 0.0043385355 0.0026549245 0.0019426277 0.001748365 0.0025901704 0.009518876 0.0031082043 0.028427118 0.006863951 0.02311727 0.022923008 0.047529627 0.012950852 0.009324613 0.011785275 0.03509681 0.006022146 0.0031082043 0.02039759 0.017095124 0.025513178 0.045133717 0.016382826 0.0018778734 0.040665675 0.0304345 0.04772389 0.01308036 0.0038852554 0.0046623065 0.0062164087 0.0051803407 0.0023959074 0.0016188564 0.0024606618 0.0014245936 0.0014245936 0.0016188564 6.0127716 2.0 20.0 0.0 5.0 238488.0 241664.0 1.0 0.0 117.0 1.0 1.0 1.0 0.0 0.0 1542961300.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 5.0 1.0 193536.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193536.0 -3584.0 12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7406106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9598532 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509344 -5.5316076 7.519031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193208.0 -3338.0 12656.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 209384.0 12656.0 212992.0 0.0 0.0 15768.0 222720.0 8336.0 229376.0 84.0 29216.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8864.0 0.0 0.0 484.0 208896.0 0.0 0.0 0.0 0.0


Input: 0.21196382 0.020406216 0.017126128 0.01039386 0.025616623 0.009473278 0.0018411624 0.0043333666 0.019755175 0.0013933121 0.005662404 0.0011196258 0.0026953954 0.003597316 0.0008003251 0.0034044918 0.0047729234 0.0009185078 0.0008189855 0.0005701798 0.0012502488 0.0026000198 0.00071116973 0.00060128054 0.0014492933 0.0009143611 0.00088326033 0.0008915539 0.0013518445 0.00072775676 0.00090606755 0.00093716825 0.0130312005 0.00069458265 0.0014264862 0.0013829452 0.0010740114 0.0007194632 0.0010366905 0.00077337114 0.001664925 0.0012689092 0.0012212215 0.0004727309 0.0033816847 0.0018847034 0.0022537652 0.00075263734 0.002040207 0.001273056 0.001708466 0.003383758 0.0012668358 0.0006551884 0.00067592226 0.00066555536 0.0010035165 0.00077544455 0.0007256834 0.0005598129 0.0013394041 0.0039021033 0.00079410494 0.0026311206 0.0011963409 0.0017706675 0.0007920316 0.0013559912 0.0018722632 0.0098734405 0.009653662 0.0036740312 0.00093924167 0.0013373308 0.0006344546 0.0005701798 0.001534302 0.004146762 0.0017188329 0.001577843 0.008803576 0.0056395964 0.006197336 0.0014119726 0.0016193107 0.004561438 0.0009350949 0.000897774 0.0013476977 0.0008003251 0.0006510417 0.0006240877 0.0011341395 0.0012585423 0.0005598129 0.0030976313 0.001088525 0.018749585 0.0018287222 0.0060729333 0.0045925393 0.008747594 0.00463608 0.0014492933 0.023018677 0.0049367202 0.029564342 0.00091643445 0.003367171 0.002857119 0.004619493 0.005931943 0.0029898155 0.000609574 0.005032096 0.0037507464 0.008550623 0.005374204 0.0018577494 0.0010263236 0.0011403596 0.0007775179 0.0006510417 0.00042504314 0.0008334992 0.0009330215 0.0004706575 0.00043748342 0.0017271264 0.0010781582 0.00049968483 0.036338076 0.0017478602 0.01299388 0.00058676687 0.00058676687 0.0014679538 0.0050777104 0.0005349323 0.0054281116 0.0011362128 0.016584976 0.0005370057 0.000636528 0.0014824675 0.0010221769 0.00062201434 0.0005598129 0.0013684315 0.0038544154 0.00083142583 0.0007194632 0.001229515 0.00074849057 0.00066555536 0.0005349323 0.0010491308 0.0005452992 0.00064274814 0.0006448215 0.0014555135 0.0010594977 0.0005701798 0.0013891653 0.0012813496 0.0005411525 0.00083764596 0.0006054273 0.0010905984 0.0005618863 0.001028397 0.0021480229 0.001360138 0.0006821424 0.0008500863 0.00093716825 0.0012481754 0.00081691216 0.00062823447 0.00058469345 0.0013580646 0.00070080283 0.0007090963 0.001001443 0.0022392515 0.0025772126 0.00066555536 0.0006572618 0.0012025611 0.0015197884 0.0005245654 0.00217083 0.010321291 0.00063860137 0.0012274416 0.0017271264 0.0346462 0.0009454618 0.004331293 0.0029628617 0.0020277668 0.0024113422 0.0006593352 0.0006489683 0.0016462646 0.000592987 0.0006344546 0.00075885747 0.0013518445 0.00067384884 0.00095790206 0.0004043093 0.00094960857 0.0004851712 0.00054322585 0.0005722532 0.001403679 0.00055359275 0.0006925093 0.00080654526 0.0014223395 0.0008397194 0.0005473726 0.00088533375 0.0014679538 0.0005266388 0.0006137208 0.00049553806 0.0011984142 0.0011196258 0.00044370355 0.00071738986 0.046711203 0.00245903 0.0006510417 0.0014679538 0.0023906084 0.0007339769 0.00095997547 0.00083764596 0.0014057524 0.0010636445 0.0010636445 0.0013995322 0.0014803942 0.00082105893 0.000881187 0.0004499237 0.0031142184 0.0006510417 0.00090399414 0.0009143611 0.0034086385 0.003172273 0.0043831277 0.038587697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004083901 8.622839e-05 1.0388962e-05 2.1816822e-05 2.0777925e-06 0.0 2.2855718e-05 0.0 0.0 0.0 1.1427859e-05 0.0 8.31117e-06 0.0 2.0777925e-06 6.2333775e-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 0.0019178025 4.5711437e-05 1.2466755e-05 1.8700133e-05 3.1166887e-06 5.194481e-06 5.1944815e-05 1.0388962e-06 1.0388962e-06 2.0777925e-06 8.31117e-06 4.5711437e-05 4.155585e-06 2.0777925e-06 3.1166887e-06 5.194481e-06 0.003565492 8.31117e-05 6.0255985e-05 5.8178193e-05 3.636137e-05 2.8050199e-05 0.00017453458 2.1816822e-05 1.0388962e-06 6.2333775e-06 4.467254e-05 0.00012674535 1.3505652e-05 9.350067e-06 9.350067e-06 1.662234e-05 0.0067486702 0.00013297872 0.00038127493 9.6617354e-05 0.00031790228 9.765625e-05 0.00029192984 6.233378e-05 1.7661238e-05 3.9478058e-05 7.791722e-05 0.00014544548 2.7011303e-05 1.8700133e-05 1.3505652e-05 4.155585e-05 0.0045430935 0.00012155087 0.00013401762 4.986702e-05 0.00038023604 0.00012362866 0.00045919215 0.00014856216 1.2466755e-05 1.3505652e-05 2.493351e-05 0.00012466755 8.934508e-05 1.8700133e-05 0.00011427859 2.493351e-05 0.015583444 0.0004778923 0.00033348572 0.0003615359 0.0007324219 0.000550615 0.0025681516 0.00055477064 0.00011739528 0.0002545296 0.00015479555 0.00048204788 0.00051737035 0.0002254405 0.00022751828 0.00026284077 0.02524518 0.00079371675 0.0020850648 0.00083007815 0.0015365276 0.0011479803 0.010310006 0.003367063 0.0001942736 0.00047062003 0.00034283576 0.0006721659 0.0008103391 0.0003646526 0.00031062998 0.00045503656 0.022407955 0.0005236037 0.0062479223 0.0021619431 0.003193567 0.0021567487 0.018275224 0.0059954706 0.00018284575 0.0002524518 0.00037088597 0.0003625748 0.00079891126 0.0001973903 0.0002836187 0.0004186752 0.023260888 0.00054022606 0.01064557 0.003767038 0.0055601727 0.003135389 0.01908972 0.0069159325 0.00023271277 0.00057139294 0.0003314079 0.0003397191 0.0009173454 0.00029504654 0.00037400267 0.0006191822 0.0057461355 0.00024517952 0.0012612201 0.00077189994 0.00076358876 0.0005319149 0.0032403176 0.00094124005 0.00073657744 0.00021712932 0.0001662234 0.0001683012 0.0011157746 0.00020154587 0.00073657744 0.00017765127 0.09065201 0.006027676 0.003594581 0.0046407497 0.010030543 0.010467919 0.029455826 0.0056214677 0.028626787 0.0043415474 0.0046054274 0.0056661405 0.024310173 0.0041587017 0.02371904 0.016421834 0.13458382 0.011172291 0.008077418 0.010417013 0.019988364 0.02121634 0.038295794 0.010969706 0.05670192 0.009990026 0.009916265 0.0100814495 0.03754571 0.0074769366 0.03692653 0.044725522 0.00054022606 7.791722e-05 0.00022440159 0.0002254405 0.00015999003 0.00013401762 0.00034387468 0.00029504654 0.00022647939 0.00029608543 0.0003625748 0.000390625 0.00012674535 0.000118434175 0.00017141788 0.0005620429 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2495.0 19.438477 48499.0 0.11540444 0.0002474278 0.0036289408 0.0049073175 0.0002474278 6.185695e-05 0.0034433699 0.0008659972 0.0029278954 0.002412421 0.0057526957 0.00016495185 0.01802099 0.011773438 0.016288996 0.0020825171 0.0040207016 0.004721747 0.0037938927 0.0016701375 0.0012989958 0.0003299037 0.0005979505 0.0003505227 0.00072166434 0.002041279 0.0009897111 4.1237963e-05 0.002206231 0.014144622 0.00084537826 0.020309698 0.00018557084 0.009814635 0.0020206603 0.008185736 0.0068867397 0.013319862 0.0036289408 0.0020618981 0.00092785415 0.0072166435 0.00037114168 0.000103094906 0.003422751 0.0026804677 0.0074640713 0.009257923 0.0042062723 0.00030928472 0.006989835 0.005546506 0.00567022 0.0021649932 0.0021031362 0.00051547453 0.00063918845 0.00039176067 0.0003299037 0.00028866573 0.0009690921 0.00030928472 2.0618982e-05 0.022536548 8.2475926e-05 0.0571352 0.0099589685 0.054599065 0.031134663 0.077795416 0.018350894 0.009979587 0.013010577 0.04014516 0.0020206603 0.00074228336 0.023361307 0.02329945 0.038804922 0.0534444 0.020371554 0.0009690921 0.044227716 0.031464566 0.03321718 0.013608528 0.012515722 0.0052166022 0.0024948968 0.0036289408 0.0014227098 0.0 0.0 6.185695e-05 4.1237963e-05 4.1237963e-05 5.2015247 1.0 15.0 0.0 1.0 482304.0 2240512.0 0.0 0.0 125.0 0.0 1.0 0.0 0.0 0.0 1523952400.0 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 357888.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -357888.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2049603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7180395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.037699 0.0 6.5481367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1860620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -357396.0 0.0 7464.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 365060.0 7464.0 2232320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 516.0 364544.0 0.0 0.0 0.0 0.0


Input: 0.1414892 0.008572931 0.0041580326 0.0034010161 0.006199383 0.0039221593 0.002015417 0.0019474954 0.007830734 0.0015004483 0.0016906286 0.0014955085 0.004543333 0.0013633703 0.0012225875 0.0038641174 0.006122817 0.0014955085 0.0011793647 0.0008903895 0.0024550545 0.0019697242 0.00076319097 0.000821233 0.0022932778 0.00075084163 0.00082617276 0.00070761883 0.0016078878 0.00060141424 0.0005915348 0.0005631312 0.0038665873 0.0005841251 0.0006495768 0.0005409024 0.004139508 0.0013127379 0.0004631013 0.0005594264 0.0011793647 0.0006508117 0.00058165524 0.00093978696 0.0011015637 0.0023340306 0.0006742755 0.0005162036 0.006399443 0.0028341801 0.0039666174 0.010259856 0.004124689 0.002075929 0.0035702025 0.0017733694 0.004637188 0.0021352058 0.00071255857 0.0014782194 0.001662225 0.0009731302 0.00046433625 0.00052731804 0.011743015 0.0039184545 0.004889115 0.0088051 0.0038591777 0.03247884 0.0032602332 0.0027020418 0.0033750825 0.003539329 0.0021833684 0.00234885 0.0027032767 0.0043766163 0.0011571358 0.0015276169 0.009037268 0.0021389106 0.00205123 0.009732537 0.0031972516 0.013804124 0.0032145407 0.0020907482 0.0019215618 0.0064982376 0.0027353852 0.0032515887 0.0015621951 0.0046260734 0.0023723138 0.003596136 0.005751101 0.00449517 0.0018882185 0.0033602633 0.009389225 0.006222847 0.004123454 0.001622707 0.008036969 0.0043395683 0.0038394188 0.0014609303 0.0036480036 0.0018536402 0.0045334534 0.0041333335 0.0033874318 0.0017844838 0.005008904 0.003948093 0.010332717 0.0056424267 0.0019153871 0.0011781298 0.002989782 0.0012608705 0.0005297879 0.0005890649 0.0016498757 0.0025130964 0.0010608108 0.00087310036 0.005233662 0.0011559009 0.0010867445 0.009045913 0.0031157457 0.0032207153 0.0010324072 0.00061746844 0.0026575841 0.015160085 0.002229061 0.05163024 0.001194184 0.010979824 0.00085581123 0.0006792153 0.0026514095 0.00044334235 0.0007261429 0.00064463704 0.0011213226 0.0009348472 0.0015090929 0.00056683604 0.001171955 0.00058782997 0.0004989145 0.00071132364 0.00095460616 0.00047545068 0.00046433625 0.00041864358 0.0008953292 0.003323215 0.00046557118 0.0025464399 0.0014214123 0.00081629324 0.0005631312 0.00045198688 0.0010447566 0.00045692665 0.000508794 0.0004865651 0.00084593176 0.000449517 0.0007409621 0.00065698643 0.0013226174 0.00068415503 0.0017276767 0.0005359626 0.00087680516 0.0006693358 0.00071132364 0.0015770143 0.0031453841 0.0025303855 0.0046433625 0.00082246796 0.000999064 0.0004791555 0.00085210643 0.0007137935 0.011977653 0.0011472563 0.0022833983 0.010332717 0.0043506827 0.001057106 0.0035516785 0.0033627332 0.0018672246 0.0017622549 0.0009817748 0.0013003885 0.0016795141 0.0008916244 0.0009904194 0.0009410219 0.0028699932 0.0011484913 0.002970023 0.0013510209 0.0018104174 0.00076689577 0.0016017131 0.0008743353 0.0033627332 0.0006532816 0.0010842746 0.0017844838 0.0014942735 0.0007174983 0.00056189625 0.000840992 0.0024352954 0.00065698643 0.00087680516 0.0009891844 0.0024291207 0.0024278858 0.0005495469 0.0006927996 0.02756626 0.0060166125 0.0010916842 0.005890649 0.0065229363 0.0010410518 0.0006792153 0.0007533115 0.00723179 0.0009756001 0.0018141222 0.0009175581 0.009123714 0.0021673143 0.004090111 0.0025896626 0.010052386 0.003049059 0.003068818 0.0036072505 0.01486617 0.003990081 0.0042951102 0.06882921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019673589 0.0 0.0 0.0003434678 0.00022402765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035763972 0.0 0.0 0.0009703739 0.00052293745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009525507 0.0 0.0 0.0041141873 0.0028368584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027768288 0.0 0.0 0.0021158855 0.0014444214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055016734 3.7131654e-06 1.7946966e-05 6.6836976e-05 0.00014852661 7.550103e-05 6.188609e-06 7.4263307e-06 1.5471522e-05 0.0 0.0 1.8565827e-06 8.045192e-06 3.0943045e-06 4.950887e-06 0.0003577016 0.0060840216 0.00020546182 0.00021288815 0.0005495485 0.0019067104 0.00048704352 0.002442025 0.0010625841 0.00019432232 0.00010025546 9.221028e-05 7.488217e-05 0.00067022635 0.00037936174 0.00039978413 0.002882654 0.013294988 0.0006399022 0.0009437629 0.002076897 0.004120376 0.0036011515 0.0069516646 0.003202605 0.00045300619 0.00023516714 0.0003100493 0.00032985286 0.0020781348 0.0011021913 0.0011195194 0.008970389 0.020727508 0.0013002268 0.0012309144 0.002073803 0.007301321 0.0025558956 0.0066775093 0.0032496385 0.0023869465 0.0009728493 0.0009747059 0.0013330263 0.004049826 0.0026443927 0.0026685281 0.009561401 0.02018353 0.0015589106 0.0012488613 0.0022631744 0.009409161 0.004036211 0.0058742277 0.0034012594 0.0058005834 0.0014110028 0.0017755119 0.0023009249 0.0038555034 0.0017693234 0.0040374487 0.009654849 0.07390994 0.009803375 0.007270378 0.01006701 0.042003326 0.030560588 0.021274582 0.013933035 0.051402587 0.0052838344 0.00604689 0.009130055 0.016764322 0.0070636785 0.02740316 0.060985647 0.06017494 0.0101159 0.009105919 0.011655626 0.028081432 0.030564303 0.01764682 0.014590264 0.049752083 0.005877322 0.006473904 0.0091381 0.021070357 0.010922895 0.025049014 0.048462998 0.00023331057 4.765229e-05 8.602167e-05 5.1984316e-05 9.035369e-05 9.901774e-05 4.3320262e-05 6.5599255e-05 0.00013429282 2.9086463e-05 3.3418488e-05 2.9086463e-05 8.416508e-05 6.0029506e-05 7.3025585e-05 0.00010706294 5347.0 16.773144 89686.0 0.0052182055 0.00012265013 0.0005352006 8.92001e-05 0.0032112035 0.0005463506 0.00012265013 0.00016725018 0.0003791004 0.00039025044 0.00070245075 0.00055750064 0.00047945054 0.013658765 0.0010815512 0.0004460005 0.030528734 0.017315969 0.031253483 0.0131681645 0.02736213 0.014829516 0.028510582 0.011975113 0.030584484 0.0148741165 0.00079165085 0.00049060053 0.000914301 0.0005129006 0.00011150012 0.00013380015 0.0013045514 0.008172959 0.0070914077 0.013904065 0.0068349577 0.015453917 0.004526905 0.0029436033 0.004716455 0.016858818 0.0023526526 0.0038244543 0.0065339073 0.006388957 0.004248155 0.00883081 0.012365364 0.0025087527 0.0057311063 0.019612871 0.012521463 0.0059987064 0.0056530563 0.0033450036 0.002664853 0.0051290058 0.0014606516 0.0028655531 0.0011150013 0.002676003 0.0027875032 0.021263074 0.00024530027 0.030071583 0.013524964 0.026481278 0.02602413 0.051278908 0.012454564 0.0102580115 0.019501371 0.03398524 0.008295609 0.007080258 0.024061726 0.012220413 0.03695114 0.033349685 0.019746672 0.0032558036 0.037787393 0.02798653 0.040652946 0.011272662 0.011172312 0.0060656066 0.014483866 0.006400107 0.0010035011 0.00027875032 0.00052405056 0.00024530027 0.00028990032 0.00030105034 5.7566366 0.0 2.0 14.0 4.0 809758.0 3952640.0 0.0 0.0 0.0 0.0 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 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5886755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12213699 0.0044024596 0.0038359563 0.003720973 0.00407658 0.0032487 0.0032240206 0.0032773055 0.004476498 0.0030641658 0.0030495825 0.0030809925 0.0037030245 0.0031253032 0.0030265858 0.0049925204 0.0037669663 0.003025464 0.003003589 0.0028678528 0.0032716966 0.003233556 0.0029256248 0.002908237 0.0032773055 0.0028740226 0.0029615222 0.0029592784 0.0031976586 0.002967692 0.0029374037 0.00314213 0.0036446913 0.0029704964 0.0030069544 0.0029766662 0.0033479782 0.0029233813 0.0029015064 0.002967131 0.003008637 0.0029289902 0.0029839578 0.0033563918 0.0032296295 0.0033563918 0.003663201 0.0035706533 0.003206072 0.0029761053 0.0029239422 0.0039991764 0.0029800315 0.0030888452 0.00300415 0.0030019064 0.003089406 0.003179149 0.0029575957 0.0035695315 0.003068092 0.003089967 0.0030759445 0.0031550305 0.003169614 0.0032582353 0.0037091943 0.0033317124 0.0035852366 0.0044198474 0.003243652 0.0030955758 0.0031286685 0.0028891668 0.0029256248 0.0029704964 0.0030277076 0.0034887628 0.0030120027 0.0030220987 0.0040468527 0.003137643 0.002908798 0.0035487784 0.0031948541 0.0033462956 0.0036267429 0.003571775 0.0030361211 0.0035078332 0.003068653 0.0032969369 0.00353083 0.0041214516 0.0039318693 0.003376023 0.0030462171 0.0032212161 0.0030103198 0.0031056718 0.0030428518 0.0037551876 0.0040126382 0.0030114418 0.0032447737 0.0032442128 0.0036592747 0.002993493 0.0032313121 0.0031079154 0.0033502218 0.0033849974 0.00328011 0.0029323555 0.0036654444 0.003339565 0.0046632756 0.004704782 0.00317354 0.003259357 0.0029912496 0.0030720183 0.0029205768 0.0029974193 0.0031320339 0.0034753012 0.0032083157 0.0032357995 0.0032902062 0.0031612006 0.0028257857 0.0048898766 0.0032672095 0.0040849936 0.003243091 0.0029704964 0.0032683313 0.0043805847 0.0031410083 0.006799722 0.0029682529 0.0043710493 0.0030602396 0.0030507043 0.002898141 0.0029127244 0.0028762661 0.0028729008 0.0029233813 0.0029059935 0.0029968584 0.0028729008 0.0028790706 0.0027949365 0.0027870839 0.0029306728 0.002898702 0.0029716182 0.0030125636 0.0031090374 0.0029418909 0.003020977 0.003020416 0.0030439736 0.0028499041 0.002982275 0.0029076762 0.0029374037 0.0029390864 0.0028308337 0.002956474 0.0029766662 0.0028964584 0.0029749835 0.0029003846 0.003126425 0.0029929322 0.002876827 0.0029228204 0.0028381252 0.0029396473 0.002993493 0.003333956 0.0031802708 0.0031539088 0.002988445 0.0028942148 0.0030120027 0.0030249031 0.0030316338 0.003105111 0.003099502 0.003993007 0.003423138 0.0032627224 0.0034455738 0.0032352386 0.002886923 0.0033165682 0.0033193727 0.0030540696 0.0031079154 0.0030860407 0.0030394865 0.0030692138 0.0029474997 0.0030804316 0.0030793098 0.003037243 0.0030697747 0.003121377 0.0031494217 0.0030069544 0.0029396473 0.0030804316 0.0030927714 0.003095015 0.0029643266 0.002955913 0.0031511043 0.0030720183 0.0031062327 0.003105111 0.003190928 0.003248139 0.0029878842 0.002994054 0.0030355603 0.003084358 0.00307314 0.0030164898 0.0031438128 0.005031222 0.0034405258 0.0030220987 0.0037978156 0.0033681705 0.002988445 0.0030478998 0.0033322733 0.0033720967 0.0031432519 0.003078749 0.0032178508 0.0032554306 0.003089967 0.0034545483 0.003349661 0.0036749798 0.0034405258 0.0032447737 0.0034472565 0.0038118379 0.0034416476 0.0038819497 0.05392438 0.058015108 5.612428e-07 6.7349138e-06 8.699264e-06 0.0 1.0102371e-05 4.770564e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021773416 1.9643498e-06 3.9287e-05 3.3674569e-06 8.418642e-07 2.6659034e-05 2.2449713e-06 1.9643498e-06 1.6837284e-06 2.806214e-07 0.0 0.0 1.9643498e-06 0.0 5.612428e-07 4.0690105e-05 0.0030531608 1.8240391e-05 2.7500899e-05 7.857399e-06 1.9643498e-06 1.96435e-05 1.9643498e-06 3.9286997e-06 9.260507e-06 0.0 0.0 0.0 1.0944235e-05 0.0 5.0511853e-06 0.00028875942 0.0028098621 1.4872935e-05 4.4338183e-05 1.5714799e-05 3.9286997e-06 4.377694e-05 5.612428e-06 8.699264e-06 1.1786099e-05 2.1046606e-05 1.3750449e-05 9.260507e-06 6.7349138e-06 2.2449713e-06 8.699264e-06 0.00042794764 0.0011471803 2.3291577e-05 1.03829925e-05 6.4542924e-06 1.4311692e-05 2.5255927e-06 1.1224856e-05 1.2627964e-05 1.1786099e-05 1.6837284e-06 2.806214e-06 9.541128e-06 6.4542924e-06 8.418642e-07 6.7349138e-06 0.0004562904 0.0026897562 4.574129e-05 8.9237605e-05 4.995061e-05 2.1327227e-05 6.678789e-05 1.4872935e-05 3.788389e-05 4.4618802e-05 3.3674569e-06 5.3318067e-06 9.541128e-06 4.237383e-05 1.6556663e-05 2.6378413e-05 0.0014339754 0.00971371 0.00012796336 0.0006704045 0.00022590024 0.00016837285 0.0007357893 0.0002124304 0.00013806573 0.0001231928 9.933998e-05 0.00011982534 0.000106916756 0.0001414332 0.00014199443 0.00017482713 0.013536615 0.016026849 0.00022197154 0.0013977753 0.0004156003 0.00029577495 0.0014348172 0.00068078755 0.00039820178 0.00023291577 0.00026153916 0.00024947242 0.00022084905 0.00022197154 0.00031878593 0.00038192573 0.020918922 0.0054350756 0.00011337105 0.0005309357 0.00018970008 0.00019783809 0.00048800063 0.00066114403 0.00037294585 0.00011786099 0.00012796336 8.699264e-05 9.2043825e-05 0.00012178969 0.0001692147 0.00016556663 0.0049226605 0.0048149023 0.0002896013 0.0005070829 0.00041475846 0.00052841014 0.0005082054 0.001064397 0.00065665407 0.0001678116 0.00016725036 0.000117019124 0.00010944235 0.00011982534 0.00018717448 0.00026574847 0.0021506825 0.0036455528 0.00016696974 0.00040549794 0.00027220277 0.0004024111 0.00042850888 0.0010714126 0.0006588991 0.0001795977 0.00012431528 0.00015518363 0.00015686736 0.00022393589 0.00014508127 0.00023235452 0.0015013246 0.002013178 9.007947e-05 0.00023431888 0.00013918823 0.00018492951 0.00028090202 0.0003185053 0.00024834994 0.00012740212 9.148258e-05 8.9237605e-05 7.99771e-05 9.793687e-05 0.0002663097 0.00023712509 0.001248204 0.001423873 0.00018577137 0.0002702384 0.00018015894 0.00016135731 0.00015967358 0.0007944392 0.0003081223 0.00037883891 8.362518e-05 7.9135236e-05 0.00010551365 0.00021663973 0.00019727685 0.00029353 0.00090893277 0.010955741 0.0016214305 0.0010652388 0.0014418327 0.00303015 0.0028039692 0.0012540971 0.0025020204 0.007185592 0.0006934155 0.00044085624 0.0011331493 0.0026426117 0.0010093952 0.0026226877 0.005000112 0.0090261875 0.001971646 0.0010638358 0.001827126 0.0032588565 0.003493456 0.001471298 0.0027857288 0.005858814 0.00046639278 0.0008076284 0.0008404611 0.002821087 0.0009703888 0.0026586072 0.0055060727 0.043341417 0.044424895 0.04448018 0.04517612 0.044001438 0.044759676 0.044859577 0.045933515 0.04432836 0.044514693 0.045142442 0.04551988 0.04468138 0.045726415 0.045545697 0.046529837 6536.0 6.5566096 42854.0 0.020791525 0.007420544 0.010057405 0.00809726 0.008913987 0.0076072244 0.007933916 0.008750642 0.007747235 0.008400616 0.008587296 0.008820646 0.008680637 0.0102440845 0.009264013 0.009357353 0.009707378 0.008073925 0.008517291 0.009754049 0.008400616 0.008610631 0.0093340175 0.009170673 0.008423951 0.009240678 0.009053998 0.008633967 0.009450693 0.008750642 0.009474028 0.008540627 0.008587296 0.009660709 0.008517291 0.009917394 0.009380688 0.009357353 0.009707378 0.010384095 0.009357353 0.009287348 0.008283941 0.0074672145 0.0090306625 0.009240678 0.009474028 0.008913987 0.009777384 0.0081205955 0.009544034 0.013767676 0.010127409 0.0090306625 0.011270827 0.013160965 0.00800392 0.00791058 0.008983992 0.008680637 0.009077332 0.009287348 0.009007327 0.009497363 0.008983992 0.017921314 0.010057405 0.014257712 0.012834274 0.027372008 0.011130816 0.01082746 0.0093340175 0.018154664 0.008797312 0.008913987 0.015751155 0.012274234 0.017454613 0.019134736 0.012740934 0.0081906 0.01873804 0.016101182 0.02415177 0.012204228 0.009053998 0.009964064 0.009194007 0.009987399 0.00791058 0.007980585 0.008423951 0.008797312 0.008913987 0.008820646 6.51674 0.0 1.0 0.0 22.0 1782867.0 663552.0 1.0 0.0 218.0 0.0 1.0 0.0 0.0 0.0 1447838100.0 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 9.0 0.0 5.0 0.0 5.0 0.0 166912.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166912.0 0.0 326144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.397251 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4672313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7250314 0.0 2.9201899 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20691.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166484.0 0.0 326007.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192672.0 200.0 187476.0 326007.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183520.0 0.0 0.0 908.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.0049078404 0.003915904 0.0039093606 0.0039029855 0.0039318427 0.003900301 0.0039019228 0.00394258 0.0039008043 0.0039452086 0.0039024262 0.0039177495 0.0039113183 0.0038737927 0.0038499688 0.003909808 0.003917302 0.0039009722 0.0039057815 0.0039033769 0.0039447052 0.0039174138 0.0038833558 0.003927928 0.0038880536 0.0039042158 0.0039756875 0.0039258027 0.0038963303 0.0038669698 0.0039038802 0.0038680884 0.003948564 0.0038462218 0.003892136 0.0039007484 0.003907012 0.0038979521 0.0038941493 0.0038998537 0.003866746 0.003902482 0.00387877 0.003913108 0.0038993503 0.0038703813 0.0038830761 0.0039019787 0.003913667 0.0038890042 0.0039244606 0.0039534294 0.0038953237 0.003889116 0.0038642297 0.0038742402 0.00393956 0.003922615 0.003910032 0.0038749112 0.003885481 0.0038995182 0.0039192596 0.0039011398 0.0039617065 0.0038957712 0.003862496 0.0038753026 0.003952199 0.00390237 0.0038966099 0.0038863758 0.0038835795 0.003892192 0.0038899549 0.0039185323 0.0038975049 0.0039096405 0.0039145057 0.0039164633 0.0038737927 0.0039014195 0.0038360995 0.0038986793 0.0039259703 0.0039088577 0.0038888925 0.0038947086 0.00391171 0.003907236 0.0038903465 0.0038885009 0.0039242366 0.00398855 0.0039004688 0.0039099758 0.003887774 0.003931563 0.003978372 0.003935981 0.0038948762 0.0039043275 0.003969368 0.003897337 0.00393229 0.003924852 0.0039261943 0.003858805 0.0039633843 0.003944817 0.0039157365 0.0038997417 0.0038830761 0.0038776514 0.0039101997 0.003915848 0.003927648 0.00391747 0.0038879416 0.00393956 0.0038613216 0.0039302767 0.00394834 0.0038933663 0.003902538 0.0038883332 0.0038714998 0.0039053343 0.0040158974 0.0038559528 0.0038893956 0.0039199307 0.003923118 0.003947725 0.0038991265 0.0038829644 0.0038989028 0.0039047191 0.0039291023 0.0040000146 0.003880168 0.003908578 0.0038617689 0.003905446 0.003896554 0.003902538 0.003910535 0.0039185323 0.0038694306 0.0038627195 0.0039206576 0.0039083543 0.0038753585 0.0038850894 0.0038831881 0.003885425 0.003911542 0.0038978963 0.0038645652 0.003872842 0.003885537 0.003892136 0.0038910734 0.0039009722 0.0038905141 0.0038877178 0.0038397906 0.0038682001 0.003886991 0.0038857046 0.0038940934 0.003869822 0.0039177495 0.0038532123 0.003903992 0.0039303885 0.0038835236 0.0039028735 0.0038707168 0.0038915768 0.0038754705 0.0038584133 0.0038716116 0.003857183 0.0039052223 0.0039022025 0.0038990148 0.003884866 0.0038956592 0.0038717794 0.003910703 0.0038738486 0.0039089136 0.0039291023 0.0038502484 0.003909249 0.0039191474 0.00392955 0.0038769245 0.0038606504 0.0039147297 0.0039157923 0.00386395 0.0039323457 0.003880224 0.0039001333 0.0038961626 0.0038855928 0.0039501297 0.003901028 0.003907571 0.0038595877 0.0038947086 0.0038774838 0.003871332 0.003865404 0.003888389 0.0038990707 0.003894261 0.0038908496 0.0038682001 0.0039056698 0.0039275363 0.0038561204 0.0039372114 0.0038826289 0.0038864876 0.0039102556 0.0038867672 0.003876477 0.003892024 0.003874967 0.0039221677 0.0039105914 0.0039093047 0.0039239572 0.003929158 0.0038918564 0.0039148415 0.0038899549 0.0039180852 0.0038970574 0.0038564561 0.0039086337 0.0039319545 0.0038941493 0.003892807 0.0039003568 0.003970878 0.0039134435 0.0038836913 0.0039197067 0.0038838591 0.0039273687 0.003912996 0.004136583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1722447e-05 4.474257e-07 4.474257e-07 1.593954e-06 1.5380258e-06 4.474257e-07 4.250544e-06 2.9641951e-06 1.5100617e-06 5.592821e-08 1.3982053e-07 1.9574874e-07 8.389232e-07 1.6778463e-07 1.9574874e-07 7.5503084e-07 5.673917e-05 5.592821e-07 3.2718003e-06 5.592821e-07 6.2359954e-06 2.4328772e-06 2.9194527e-05 1.5408223e-05 0.0 0.0 0.0 0.0 2.7964106e-08 2.7964106e-08 5.592821e-08 2.7964106e-08 6.149307e-05 1.0346719e-06 1.0654324e-05 9.507796e-07 2.600662e-06 1.5380258e-06 2.1364576e-05 1.11856425e-05 2.7964106e-08 5.592821e-08 1.1185642e-07 8.389232e-08 8.389232e-07 5.592821e-08 9.787437e-07 1.5659899e-06 0.00013900957 1.7897028e-06 2.8858956e-05 1.4121873e-05 1.0878037e-05 4.6700056e-06 3.63813e-05 1.9686731e-05 4.418329e-06 4.418329e-06 1.845631e-06 1.0346719e-06 5.2292876e-06 4.4462927e-06 1.7058104e-06 7.857913e-06 7.469213e-05 2.125272e-06 4.753898e-06 2.7684464e-06 1.0123006e-05 5.061503e-06 2.6761649e-05 1.3310914e-05 3.6632978e-06 1.3702412e-06 5.592821e-07 1.7337745e-06 3.9429387e-06 4.83779e-06 6.4597084e-06 9.647616e-06 9.885311e-05 1.8176669e-06 6.4037804e-06 1.0598396e-05 1.0178935e-05 2.348985e-06 1.2527919e-05 9.172227e-06 1.0989894e-05 1.0514504e-05 1.5659899e-06 3.3277286e-06 1.4065945e-05 3.719226e-06 9.06037e-06 2.3937275e-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 0.00015425001 1.5296366e-05 2.00223e-05 1.7869064e-05 5.2153056e-05 3.8198967e-05 1.859613e-05 2.9334347e-05 7.785207e-05 8.417196e-06 9.340011e-06 1.2919417e-05 4.762287e-05 2.0749367e-05 3.282986e-05 7.4524345e-05 0.0002931757 5.0894672e-05 6.406577e-05 7.3377814e-05 0.00010886426 0.000119658405 8.727598e-05 9.250526e-05 0.00017857878 2.343392e-05 2.723704e-05 4.046406e-05 0.00011037433 5.2208987e-05 9.510593e-05 0.0001863528 0.062577404 0.062457383 0.062164795 0.062335346 0.062253386 0.062276818 0.062528744 0.062267423 0.06234765 0.06221927 0.062159818 0.0620974 0.062192366 0.06217394 0.062295247 0.06244586 83080.0 5.658546 470112.0 0.011322834 0.01009334 0.010695323 0.0101358825 0.010299673 0.010595348 0.010295419 0.010201824 0.010442193 0.010320945 0.010352852 0.010325199 0.010678306 0.010320945 0.010478354 0.010506007 0.010367742 0.01083997 0.01076552 0.010186934 0.010310309 0.01013801 0.010293292 0.010089085 0.010306055 0.009963583 0.0104996255 0.009999745 0.010357106 0.010084831 0.010248622 0.009863607 0.010478354 0.010582585 0.010046542 0.010625128 0.010446447 0.010506007 0.010133755 0.0102273505 0.010357106 0.010091213 0.010342216 0.010274148 0.010295419 0.011212221 0.01007845 0.010506007 0.01007845 0.010452828 0.010201824 0.010297546 0.010722977 0.010033779 0.010189061 0.010076323 0.009959329 0.01033158 0.010252876 0.010354979 0.010550677 0.010410286 0.010867623 0.010201824 0.01010823 0.011022905 0.010665543 0.010797427 0.010267766 0.01113139 0.010680433 0.010276275 0.01048899 0.011127136 0.0101529 0.010369869 0.011150534 0.010669798 0.010563441 0.010676179 0.01044432 0.010291165 0.011259019 0.011048431 0.010950582 0.010412413 0.010586839 0.0101656625 0.010595348 0.010189061 0.010720849 0.0096785445 0.0098465895 0.010431557 0.010157154 0.010510261 6.584258 2.0 14.0 0.0 392.0 17881184.0 81920.0 0.0 0.0 8.0 0.0 1.0 1.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.11619 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.573192 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.477829 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3660.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37444.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 0.0 0.0 6448.0 17874736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056668572 0.008304654 0.0061728396 0.005653087 0.005756623 0.004959393 0.004197365 0.005426342 0.00505154 0.005625132 0.003755265 0.0044717365 0.0049552517 0.0031692488 0.0043216087 0.0046342886 0.0050422223 0.0037780427 0.0049283323 0.004160092 0.004361988 0.003175461 0.0041052178 0.0038474123 0.005068106 0.003351473 0.0031599307 0.0029269736 0.00415388 0.003445691 0.003787361 0.0037883965 0.006167663 0.0038173867 0.0034839995 0.0030222272 0.0048962357 0.004162163 0.0038370586 0.003712815 0.00473679 0.0038940036 0.003338013 0.0030936673 0.0043723416 0.003730416 0.0037200626 0.003576147 0.005511242 0.003953019 0.0031040208 0.0029010896 0.0036786478 0.003066748 0.0026919462 0.0028741702 0.004165269 0.003320412 0.0035264494 0.003354579 0.004001681 0.0032199817 0.0035098835 0.0034519031 0.006598374 0.00395509 0.0036154906 0.0032168757 0.00415388 0.0032230879 0.0035430153 0.0030677833 0.004996666 0.0037863257 0.0037003905 0.0035865004 0.0041248896 0.0031257635 0.0035657932 0.0034632923 0.0051623243 0.0036279152 0.0036455162 0.003331801 0.0039333473 0.0033814984 0.0033597557 0.003536803 0.004657067 0.0036465516 0.0038059975 0.0035005654 0.0041093593 0.0033846046 0.0036858954 0.0037915027 0.005919175 0.0036310211 0.003336978 0.00295907 0.0040130704 0.0030512174 0.0032696791 0.0030263686 0.004969747 0.0031661429 0.003189956 0.0030532882 0.0035720053 0.0028296495 0.0030833136 0.0032013452 0.004510045 0.0032955632 0.0032230879 0.0031464708 0.0038919328 0.0033255888 0.0032965986 0.0036258444 0.0046166875 0.0032965986 0.0034788228 0.0031713196 0.004033778 0.0031961682 0.0034705398 0.0033400839 0.008643217 0.0046021924 0.004015141 0.0035378383 0.004364059 0.0034301605 0.0030211918 0.0033928875 0.0045390353 0.0038318818 0.0029652822 0.0031889207 0.0037231685 0.002796518 0.0028462154 0.002976671 0.005229623 0.0032116987 0.0035098835 0.0030315456 0.003658976 0.0031796026 0.0033048815 0.0032572548 0.0045400704 0.0028431092 0.0030367223 0.0027022997 0.0035181665 0.0032251584 0.0029808127 0.0031464708 0.005004949 0.003422913 0.0032676084 0.0028016947 0.0037739014 0.0030139443 0.0030491466 0.0031796026 0.0041435263 0.0030066967 0.0031226575 0.0030139443 0.0036444808 0.0028389678 0.002918691 0.0030305102 0.0046767388 0.003107127 0.003844306 0.0028638165 0.0035657932 0.0031464708 0.0029880602 0.0031195513 0.0042543104 0.0031485416 0.003338013 0.0031858147 0.00365587 0.0031909915 0.003331801 0.003346296 0.0067153703 0.004054485 0.0037262747 0.0033328363 0.004116607 0.003252078 0.003303846 0.0032251584 0.004330927 0.0033266242 0.0031174808 0.003084349 0.0036517284 0.0029870248 0.003081243 0.0027934117 0.004246027 0.00327175 0.0030957381 0.0030056613 0.0037138502 0.0030222272 0.0029404333 0.0029466457 0.0039799386 0.0031143746 0.0027271486 0.0026453547 0.003533697 0.0029414687 0.0035813237 0.0028928067 0.0049552517 0.0032313706 0.0033980643 0.0029746005 0.0038018562 0.0030698539 0.0031972036 0.002905231 0.004444817 0.005443943 0.0034674336 0.0031340464 0.0037915027 0.003084349 0.003252078 0.0031961682 0.004611511 0.0033214474 0.0034187716 0.003038793 0.0037335223 0.0030853844 0.0033183412 0.0032417243 0.0043495637 0.0030367223 0.0031961682 0.0028689934 0.0040161763 0.0030978087 0.004227391 0.0045141866 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 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 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 0.09918796 0.062032454 0.062438834 0.055331286 0.060597155 0.059548024 0.054940972 0.054484826 0.060469124 0.053155273 0.052133612 0.052971777 0.056427065 0.050578058 0.05665462 0.05384726 4026.0 5.7031794 22961.0 0.01715953 0.010452506 0.009363703 0.008710422 0.013457602 0.012499455 0.011846174 0.011454205 0.012673664 0.009755673 0.008492662 0.008579765 0.013936675 0.0104960585 0.01175907 0.009929881 0.01672401 0.011889726 0.008710422 0.007534515 0.009799224 0.008449109 0.007882932 0.008362005 0.010365402 0.008405557 0.009625017 0.00888463 0.011584861 0.008971735 0.009668568 0.009145943 0.017987022 0.010931579 0.01032185 0.009058839 0.010844476 0.008841079 0.010670267 0.008274901 0.0141979875 0.011584861 0.009755673 0.008928183 0.011454205 0.009450808 0.011715517 0.009537912 0.0147641655 0.009625017 0.010016985 0.008971735 0.012020382 0.009363703 0.009581464 0.009799224 0.013718914 0.009233047 0.010539611 0.009537912 0.011105788 0.009799224 0.010408955 0.010670267 0.017987022 0.010975132 0.009799224 0.008187797 0.013065633 0.008231348 0.009363703 0.008318453 0.015417447 0.0092766 0.00888463 0.008710422 0.011323549 0.008013588 0.009929881 0.007926484 0.01319629 0.007970036 0.00866687 0.008841079 0.011541309 0.009537912 0.008231348 0.007926484 0.010888028 0.009015286 0.011889726 0.008536214 0.011323549 0.008971735 0.010060538 0.008710422 6.5546494 0.0 0.0 0.0 14.0 965844.0 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