Input: 0.22089277 0.10787092 0.09444319 0.07383946 0.10085188 0.09856088 0.0008806501 0.00091552734 0.0008741106 0.00089808874 0.0008544922 0.00096348353 0.0010310581 0.00093950547 0.000819615 0.0011269705 0.0011226109 0.0010964529 0.000906808 0.0009220668 0.0011880057 0.0009111677 0.00083051407 0.0009024484 0.0010027204 0.00081089564 0.0010702951 0.000819615 0.001310076 0.0008544922 0.0009591239 0.00083051407 0.0008959089 0.00097002304 0.0012010847 0.0009133475 0.0030561176 0.0008217948 0.00086757116 0.0011727469 0.0010005406 0.000906808 0.0009286063 0.00071062363 0.00096348353 0.0013776507 0.00091770716 0.0007869176 0.0013384138 0.0010223389 0.0009438651 0.0008152553 0.00081089564 0.001033238 0.00097220286 0.0009961809 0.0008152553 0.0012512207 0.0009046282 0.0008414132 0.0009264265 0.0011247908 0.00088282995 0.0008893694 0.005684989 0.001020159 0.0010027204 0.0011226109 0.0017939976 0.0010920933 0.0010702951 0.001109532 0.0012076242 0.0009024484 0.0008043562 0.00095476425 0.0011858259 0.0010942732 0.0012163435 0.0010245187 0.0012403216 0.0010136196 0.0011814663 0.0010920933 0.0011531285 0.0012860979 0.0010790144 0.0010070801 0.001146589 0.0012294224 0.0010637556 0.0011356899 0.0011226109 0.0013144357 0.00090026855 0.0007847377 0.0010463169 0.0011226109 0.00093514577 0.0013798305 0.001183646 0.008710588 0.0010528564 0.000906808 0.008954729 0.00096348353 0.01070949 0.00067574636 0.0012010847 0.0009460449 0.0010223389 0.0010441372 0.00094822474 0.0008915492 0.010896956 0.00081089564 0.0027836391 0.0009286063 0.0007040841 0.008666992 0.0010768345 0.0008370536 0.00096348353 0.0008217948 0.0009416853 0.0008784703 0.0012534006 0.000856672 0.0010790144 0.0012294224 0.0012686594 0.0011182512 0.0014212473 0.0009220668 0.0011923654 0.0009024484 0.001349313 0.0019313267 0.001059396 0.001902989 0.0009264265 0.0009743827 0.000856672 0.00086103164 0.0012860979 0.0008217948 0.0011117117 0.0013514927 0.0009373256 0.0012076242 0.00097220286 0.00093514577 0.001183646 0.0007367815 0.0009133475 0.0010572161 0.0010310581 0.0009416853 0.0010223389 0.0010550363 0.0008959089 0.0012359619 0.0009591239 0.0006888253 0.00091770716 0.00087629043 0.0010419573 0.00083269394 0.0011051723 0.00079781667 0.0008893694 0.0010724749 0.0010049002 0.000819615 0.0007346017 0.00079345703 0.0009416853 0.0009613037 0.0008959089 0.0009896414 0.0013078962 0.0011749268 0.00096784317 0.00073896133 0.0011356899 0.000856672 0.0007585798 0.00088500977 0.00090026855 0.0007825579 0.00078037806 0.0008261544 0.0010049002 0.0010157994 0.0012468611 0.0011226109 0.001299177 0.0010027204 0.0010528564 0.0013580322 0.00096566335 0.0010397775 0.00085231237 0.001083374 0.0009961809 0.00077819824 0.0010223389 0.0010310581 0.0010027204 0.001222883 0.00084795273 0.0008784703 0.00085013255 0.0012316023 0.0010986328 0.0008239746 0.0010157994 0.00084577285 0.00096784317 0.0010528564 0.0011291504 0.0012272426 0.0011182512 0.0010005406 0.0007847377 0.0009852818 0.00084359304 0.000806536 0.0009918213 0.001159668 0.0010136196 0.0009286063 0.0012010847 0.0009961809 0.0008784703 0.00084359304 0.001059396 0.0010005406 0.0007585798 0.00073024206 0.0007694789 0.00088500977 0.00079563685 0.00081307546 0.0009809221 0.0011444092 0.0009089879 0.0008392334 0.001146589 0.0010027204 0.0011356899 0.0011531285 0.00087629043 0.0010027204 0.0010724749 0.0016653879 0.36891013 8.738814e-06 1.2015869e-05 1.2015869e-05 9.831166e-06 1.9662331e-05 1.7477629e-05 1.6385276e-05 1.5292924e-05 2.2939388e-05 1.7477629e-05 1.2015869e-05 1.5292924e-05 1.7477629e-05 9.831166e-06 1.0923518e-05 0.010755296 1.9662331e-05 2.6216443e-05 1.8569981e-05 3.4955257e-05 3.4955257e-05 1.8569981e-05 3.4955257e-05 3.2770553e-05 3.3862907e-05 2.512409e-05 2.512409e-05 2.4031739e-05 2.7308795e-05 3.2770553e-05 4.1509367e-05 0.008306243 4.0417017e-05 4.6971127e-05 4.4786422e-05 4.8063477e-05 4.6971127e-05 4.1509367e-05 2.8401146e-05 4.8063477e-05 4.1509367e-05 3.8232312e-05 4.4786422e-05 4.1509367e-05 4.260172e-05 5.1340536e-05 3.7139962e-05 0.01788726 0.00012343575 0.0001496522 0.00017586864 0.00020208508 0.000176961 0.00033425965 0.00018897686 0.00010486577 0.00012562046 9.394225e-05 0.00012343575 0.0001245281 0.00011032753 0.00011032753 0.00010268107 0.026634814 0.00023922505 0.00025888736 0.00025779504 0.00026216442 0.00030695085 0.0006160864 0.0005177747 0.00028182677 0.00029275028 0.0002425021 0.0002785497 0.00031241262 0.00028947322 0.00025451797 0.0002741803 0.017522415 0.00022720917 0.00022065506 0.00025779504 0.00031350498 0.00026107207 0.0009339608 0.0006859969 0.00022611683 0.0002654415 0.0002785497 0.0002425021 0.00022393212 0.00022939387 0.0002468715 0.00023594798 0.062335055 0.00044349482 0.000453326 0.0004871889 0.00053416 0.00058331585 0.024451202 0.018631153 0.00048281948 0.0006532264 0.00044458717 0.00042601718 0.00048172713 0.00054289884 0.00044240247 0.00046424952 0.02472429 0.00057020766 0.0006073476 0.0005723923 0.0005778541 0.00061936345 0.0007406145 0.0006051629 0.000574577 0.00061936345 0.00056583824 0.0004850042 0.00058113114 0.00060079346 0.0005570994 0.0005560071 0.016792724 0.0005144977 0.00052651356 0.0004784501 0.00052651356 0.00057894643 0.0005363447 0.00046534187 0.0005483606 0.00050575886 0.00050794357 0.00045878775 0.0005734847 0.00059970113 0.00047517303 0.00051995943 0.06321658 0.002564842 0.002468715 0.0024708998 0.007150535 0.0025823195 0.0029449805 0.0027439876 0.0026161824 0.0023933428 0.0020077426 0.0019848032 0.0019596792 0.0019848032 0.0018515363 0.0019673256 0.012919244 0.00060297817 0.00061499403 0.00062482525 0.0006412105 0.0006565034 0.0006412105 0.00058113114 0.00066524226 0.00064230285 0.0005767617 0.00062373286 0.0006958281 0.00066087284 0.00059970113 0.00062482525 0.014802459 0.00089245144 0.001046473 0.00087825087 0.0010093331 0.0010672277 0.00085531146 0.0008006939 0.00116117 0.00096673134 0.00081380206 0.0009536231 0.0009831166 0.0010235336 0.00087278907 0.0009558078 0.009067612 0.00068271987 0.000707844 0.0006696117 0.0007908627 0.00078977033 0.00075590744 0.0006685193 0.00073952216 0.000788678 0.0006870893 0.0007427992 0.0008389262 0.0007591845 0.0007264139 0.00071876746 0.01959133 0.0020689142 0.0033043642 0.0021191626 0.0028707006 0.002542995 0.002163949 0.002005558 0.0038996958 0.0020252203 0.0019061539 0.0020437902 0.0025167784 0.0021967194 0.002092946 0.002580135 0.02231347 0.0034693093 0.0038166773 0.0035020798 0.0039794375 0.0038953265 0.0036877797 0.0034551087 0.0042088316 0.0039270045 0.003415784 0.0033524276 0.004018762 0.0038024767 0.0036506397 0.0038046613 0.009566817 0.0030869863 0.0032442848 0.0030225373 0.0033655358 0.0035916527 0.0031700048 0.0028838087 0.0034256151 0.0032868865 0.003073878 0.003127403 0.0035042646 0.0034551087 0.0030323686 0.003328396 1293.0 7.1593194 9257.0 0.004213028 0.0043210546 0.0021605273 0.0035648698 0.0049692127 0.0034568436 0.0031327645 0.002700659 0.0037809226 0.0032407907 0.0036728962 0.00237658 0.0028086854 0.0021605273 0.0036728962 0.0017284218 0.0044290805 0.002700659 0.00237658 0.003024738 0.0031327645 0.0035648698 0.0028086854 0.0049692127 0.0032407907 0.0034568436 0.0025926325 0.0019444744 0.003024738 0.0025926325 0.0021605273 0.0031327645 0.0032407907 0.00237658 0.0028086854 0.0050772387 0.004213028 0.0043210546 0.0028086854 0.008750135 0.0036728962 0.0031327645 0.0024846063 0.00237658 0.002700659 0.005185265 0.0055093444 0.0043210546 0.00475316 0.0032407907 0.0059414497 0.0037809226 0.0031327645 0.0033488171 0.00237658 0.0044290805 0.0016203953 0.0028086854 0.0036728962 0.0031327645 0.0025926325 0.0039969753 0.0024846063 0.002700659 0.0044290805 0.0048611863 0.0039969753 0.004537107 0.010586583 0.08760937 0.00237658 0.006049476 0.08166793 0.004213028 0.15447769 0.0031327645 0.0079939505 0.0031327645 0.006589608 0.0050772387 0.0038889488 0.0024846063 0.17014152 0.00475316 0.082100034 0.002700659 0.00237658 0.08145188 0.0098303985 0.0034568436 0.0075618452 0.0024846063 0.0035648698 0.0041050017 0.0064815814 0.0037809226 4.7584457 0.0 0.0 0.0 7.0 458752.0 471040.0 0.0 0.0 18.0 0.0 1.0 0.0 0.0 0.0 1542220900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 49152.0 4096.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212992.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 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 4.831482 0.0 0.0 0.0 0.0 0.0 4.5468884 0.0 0.0 -4.8274837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8596656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7392259 0.0 3.0822277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 210344.0 0.0 0.0 0.0 0.0 0.0 986.0 0.0 0.0 -144660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48586.0 0.0 728.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 102524.0 728.0 466944.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 102400.0 0.0 0.0 0.0 0.0


Input: 0.06584067 0.006123521 0.0073401453 0.0050591687 0.005593675 0.0053916816 0.004948849 0.0063969893 0.00673261 0.0063596983 0.006414081 0.0058174226 0.006985879 0.006417189 0.0065958756 0.008458881 0.015488266 0.007279547 0.0070464774 0.006339499 0.006484002 0.006420296 0.005828299 0.005332637 0.0064669102 0.0055299695 0.0064125275 0.0053139916 0.0057785776 0.004993909 0.00510889 0.00481833 0.0062493784 0.004468725 0.0040631834 0.0037710695 0.004432988 0.004100475 0.0037664082 0.0034525408 0.0039590793 0.00393888 0.0033064836 0.0033499901 0.0038021456 0.0034929395 0.003496047 0.0034292338 0.004398804 0.0040662913 0.0034649712 0.0044205575 0.003674734 0.003359313 0.003443218 0.0031386735 0.0037166865 0.0034774016 0.0035302306 0.00330493 0.0035317845 0.0035488764 0.0035613067 0.0032924996 0.007018509 0.00577547 0.0031852874 0.0032909457 0.0035193542 0.00506383 0.003056322 0.0030050466 0.0032521007 0.0030734139 0.003120028 0.0028077143 0.0032287939 0.0033406673 0.0027719769 0.0029149265 0.004549523 0.0030268 0.0029506637 0.0037291169 0.0030268 0.004285377 0.0032365627 0.0031215816 0.0033515438 0.003527123 0.003359313 0.0032831768 0.0030687526 0.0032785153 0.0034820628 0.003210148 0.003188395 0.0034805092 0.0030920594 0.003534892 0.0039497563 0.0038658513 0.0037803922 0.0028605436 0.003680949 0.003343775 0.0031386735 0.003320468 0.0032070405 0.002980186 0.003180626 0.0035457688 0.0035768447 0.0027082711 0.0035442149 0.0035690756 0.004648966 0.003674734 0.0026134895 0.0028838504 0.003303376 0.0031775185 0.0028263598 0.0031386735 0.0033111451 0.0032552083 0.0031868413 0.0032287939 0.009088169 0.0029444485 0.0028760815 0.0046769343 0.003235009 0.0035690756 0.0024954008 0.0028201446 0.0029320181 0.0045821522 0.0025653217 0.009400482 0.0030050466 0.004254301 0.002555999 0.0028512208 0.003952864 0.0022219322 0.0024487867 0.0024954008 0.0029662019 0.0022436853 0.002517154 0.0026119356 0.0028046067 0.002346236 0.0026150432 0.002686518 0.0028931731 0.0024379103 0.0027362395 0.0028652048 0.002723809 0.002803053 0.0025031697 0.002608828 0.002441018 0.0024907393 0.002632135 0.002402173 0.0024192645 0.0022747614 0.002554445 0.0025870749 0.0027502237 0.0025031697 0.0027533313 0.002857436 0.0030283537 0.0026911793 0.0023120525 0.0026740876 0.0024814166 0.0026445654 0.0025870749 0.0029056037 0.0027999454 0.0026072743 0.0027595465 0.0024752014 0.0027315782 0.0027579928 0.0027875148 0.0036840567 0.0049146656 0.002941341 0.0027673156 0.004547969 0.0028434517 0.0026585497 0.0036219049 0.0030671987 0.0023198214 0.0024348027 0.002476755 0.0025746445 0.0025746445 0.0025093849 0.0027673156 0.0031899489 0.0027160402 0.002709825 0.002649227 0.0027595465 0.0021986251 0.0024441255 0.0030936133 0.0032319014 0.0029397872 0.002500062 0.0025140464 0.00279373 0.0025140464 0.0024052805 0.0029087113 0.0033080375 0.0031277968 0.0025606602 0.0025202616 0.0028854043 0.0025078312 0.0027688693 0.0025466762 0.0032956072 0.006047385 0.0030361228 0.0021675492 0.0038782817 0.0030671987 0.0025435686 0.0023757583 0.003573737 0.0044982475 0.002840344 0.0027533313 0.0031215816 0.0025839673 0.0025435686 0.0028092682 0.0035442149 0.003642104 0.0033080375 0.0027300243 0.0032365627 0.004097367 0.0030501068 0.003404373 0.0132741025 0.001534932 5.6070574e-05 2.3362738e-06 0.0 0.0 0.0 7.7875796e-07 0.0 0.0 0.0 0.0 0.0 7.7875796e-07 0.0 0.0 0.0 0.0014679588 0.00012693755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002644662 0.00050697144 3.5044108e-05 3.1150319e-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 0.0060182414 0.0017335153 8.099083e-05 1.7132676e-05 2.9592804e-05 4.6725477e-06 1.0902611e-05 1.2460127e-05 1.40176435e-05 3.8937897e-06 3.8937897e-06 1.5575159e-06 1.5575159e-05 8.566338e-06 9.345095e-06 1.0123854e-05 0.015985565 0.008348285 0.00019001694 2.8814045e-05 2.2583981e-05 1.0123854e-05 7.787579e-06 1.0123854e-05 0.003921825 7.78758e-05 7.787579e-06 3.6601625e-05 5.4513057e-06 7.0088217e-06 8.566338e-06 3.9716655e-05 0.010046757 0.0032871375 0.00060665247 0.000103574814 0.0002001408 0.0002001408 0.00021104341 7.78758e-05 0.0007001034 1.3238886e-05 2.9592804e-05 0.0001853444 2.4141496e-05 1.869019e-05 2.1026466e-05 0.00022350354 0.00735459 0.002748237 0.00088544784 0.00024764505 0.0005389005 6.4636915e-05 2.4920255e-05 3.89379e-05 6.775194e-05 3.89379e-05 1.4796402e-05 0.00033019338 1.7911434e-05 9.345095e-06 3.1150317e-05 0.00034576855 0.007322661 0.005746455 0.0017724532 0.0003372022 0.00028035286 0.0001316101 0.0005264404 0.00035121985 0.000415078 0.00044934335 5.2176783e-05 5.37343e-05 4.3610446e-05 1.946895e-05 1.6353917e-05 2.5699013e-05 0.0066490355 0.0054209344 0.0020294434 0.00049451133 0.00047971492 0.0006222276 0.0017008074 0.0009337308 0.0004929538 0.00011369866 6.3858155e-05 5.2176783e-05 3.815914e-05 1.7911434e-05 1.869019e-05 1.0902611e-05 0.0053765452 0.0031134745 0.0015481708 0.0005731659 0.0003224058 0.00035978618 0.0011354291 0.0005684933 0.00020325583 0.00048127244 0.00010123854 0.000116034935 7.78758e-05 4.8282993e-05 4.4389206e-05 0.00028424666 0.0126151005 0.0056436593 0.002478008 0.0015972327 0.0019141871 0.00077875797 0.0018775854 0.0011619069 0.0005934136 0.00041741427 0.00038081265 0.00032941462 0.00043065316 0.00028268914 0.00083872234 0.00055836944 0.0047387425 0.0054427395 0.0024585389 0.0016392856 0.0009929164 0.000659608 0.00062144885 0.0005778384 0.00046413974 0.0002998218 0.0005061927 0.00023752118 0.00017210552 0.00010513233 0.00010435357 0.000118371216 0.0058438 0.011138575 0.0068717604 0.005530739 0.0042068507 0.0033066063 0.00243284 0.0017506479 0.0014991091 0.00094229716 0.000952421 0.00060509495 0.00040106036 0.00018612316 0.00025621138 0.0003278571 0.016160786 0.010151889 0.0055533233 0.0053890054 0.006573496 0.005335271 0.00355503 0.0037450471 0.006915371 0.0016610908 0.0014391447 0.0017093738 0.0031446246 0.0016455156 0.0033439868 0.006611655 0.014208439 0.0022763095 0.0020255495 0.0027490156 0.0055003674 0.0055206153 0.0032458631 0.0038603032 0.010073234 0.0010668985 0.0012506853 0.0018581165 0.0048251846 0.0027599183 0.005180298 0.010154225 0.042171303 0.03913882 0.036436528 0.03919489 0.037073553 0.037470717 0.038537618 0.039443314 0.038641192 0.03737571 0.036600847 0.038512696 0.039122466 0.038681686 0.039142713 0.042870626 3688.0 9.168655 33814.0 0.01975513 0.011888566 0.01141539 0.010202874 0.010143727 0.009611404 0.0100550065 0.008576329 0.009640977 0.011267522 0.009700124 0.00949311 0.009611404 0.010557757 0.01182942 0.011533684 0.011622405 0.011297096 0.013455965 0.013869994 0.012420891 0.013308098 0.0131306555 0.011651979 0.011858993 0.01233217 0.014875496 0.012775773 0.01508251 0.014313598 0.013515112 0.011770273 0.014461466 0.014934642 0.011178802 0.011888566 0.014047436 0.013485539 0.010794345 0.011918141 0.010794345 0.011740699 0.009670551 0.008605903 0.010646477 0.010114154 0.011533684 0.008931212 0.01141539 0.009670551 0.009049506 0.011504111 0.010025433 0.011504111 0.010025433 0.0100550065 0.009729697 0.009818418 0.008132726 0.009552256 0.0071272254 0.008191873 0.008546756 0.008546756 0.0070680785 0.015112083 0.0072455197 0.011356243 0.010232448 0.021854853 0.0073046666 0.007541255 0.0072750933 0.013071509 0.0047613415 0.0067131957 0.011119654 0.00866505 0.012036434 0.013012362 0.008073579 0.004465606 0.016176732 0.011681552 0.015230378 0.007422961 0.0055302535 0.0051457975 0.0064174603 0.0070976517 0.0050866506 0.00408115 0.003607973 0.005116224 0.005175371 0.005116224 6.5151286 0.0 1.0 0.0 5.0 643584.0 684032.0 0.0 0.0 135.0 0.0 1.0 0.0 1.0 0.0 1349154300.0 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 5.0 0.0 5.0 0.0 86016.0 1024.0 4096.0 8.0 2.0 0.0 2.0 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 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82944.0 -4096.0 548352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 -6.042624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7305634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4825587 -5.042266 7.8060575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22352.0 0.0 0.0 -3484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82936.0 -3998.0 548016.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 2.0 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 -3.0 0.0 0.0 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 -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 2.0 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 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 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3998.0 122880.0 548016.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 131072.0 0.0 0.0 0.0 0.0 588.0 123728.0 0.0 0.0 0.0 0.0


Input: 0.100660324 0.003456082 0.0031831258 0.0032730214 0.0032738387 0.0030768854 0.003159426 0.0030597234 0.0030817888 0.0031308227 0.0030352063 0.0029910759 0.0030924128 0.0033678205 0.0034961263 0.0034805988 0.0035165572 0.0033171521 0.003183943 0.0034691575 0.003313066 0.0031675983 0.003156157 0.0032346116 0.0031488019 0.0032493216 0.0032591284 0.003467523 0.0032640318 0.0032517733 0.0033334969 0.0032771076 0.0036301527 0.0029281487 0.0030727992 0.0028121015 0.00313164 0.0029248798 0.0030286685 0.0029167074 0.0031144782 0.0030172274 0.002964107 0.0038941193 0.0031553397 0.0034013272 0.003579484 0.0036268837 0.003827106 0.0034225753 0.004073093 0.0047023636 0.0034462751 0.0033048936 0.003299173 0.0034503613 0.0033956065 0.0035034814 0.0036007322 0.003191298 0.0032215358 0.0033433037 0.0032722042 0.0032983557 0.003211729 0.0034094995 0.003417672 0.003061358 0.0035696775 0.0032297082 0.0034070478 0.003543526 0.0031798568 0.0037323069 0.0032673008 0.003103037 0.0032158152 0.0033612826 0.0030221306 0.0030474649 0.0032452354 0.0028733942 0.0031488019 0.0032207186 0.0029886242 0.0033212383 0.0030098723 0.0029453107 0.0030017 0.0029281487 0.0028341669 0.0029583864 0.0029690105 0.0029404073 0.0031128437 0.003034389 0.0029681933 0.0031063058 0.00293959 0.0030466476 0.0030875094 0.0033334969 0.003403779 0.0029935276 0.0030229478 0.0031332744 0.0030033344 0.0029346866 0.0030907784 0.0031128437 0.0030499166 0.0032934523 0.003082606 0.002991893 0.003260763 0.0031054886 0.0032828283 0.0030629924 0.0030008827 0.003089144 0.0029632899 0.002998431 0.0029355038 0.0030008827 0.0029690105 0.0032730214 0.0030066033 0.0036456801 0.003166781 0.003027034 0.003015593 0.0029935276 0.0030025172 0.0030066033 0.0030392925 0.0030041516 0.0029518486 0.0031193816 0.0030286685 0.0033008074 0.0031692327 0.003051551 0.00309323 0.0030809715 0.0030629924 0.0030866922 0.0029943448 0.002936321 0.003079337 0.0029126212 0.0029910759 0.0030531855 0.003044196 0.003397241 0.0029510313 0.0030695302 0.0030785198 0.002995162 0.0030842405 0.003474061 0.0030474649 0.0031251023 0.0034511785 0.003915367 0.003652218 0.0038434507 0.0037233173 0.004117224 0.0040812655 0.003903926 0.0038990227 0.0036988002 0.0039611324 0.0040477593 0.0037919648 0.0054926286 0.0038058579 0.003340852 0.0039611324 0.0032370633 0.0038123957 0.0036089045 0.0034127685 0.003380079 0.0033857997 0.0036187114 0.003096499 0.0030597234 0.003107123 0.0030433787 0.0031504363 0.0031651466 0.0029796346 0.0031120265 0.0030768854 0.0030834232 0.0030883267 0.0030327546 0.0030507338 0.003037658 0.0029959793 0.0036056356 0.0030924128 0.0030474649 0.0029583864 0.0030017 0.0031161127 0.0030605407 0.0031038541 0.0030499166 0.003110392 0.002903632 0.0030809715 0.0031177471 0.0030785198 0.003278742 0.003529633 0.003163512 0.0033670033 0.0030433787 0.0034446407 0.0032983557 0.0031986532 0.0043223496 0.005644634 0.005742702 0.0057966397 0.005602955 0.004990847 0.0036530353 0.0032640318 0.0032002877 0.0041327514 0.003557419 0.0035361708 0.0031193816 0.0035288157 0.0029992482 0.0034242098 0.0031112093 0.003589291 0.0044163316 0.004166258 0.0029788173 0.0034340166 0.0030597234 0.0034756954 0.0031847602 0.004118041 0.003372724 0.003012324 0.0034413717 0.0030507338 0.0037037036 0.0040853517 0.056497008 0.015903726 0.0 0.0 1.1050791e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.146008e-05 0.0015847653 3.683597e-06 0.0 7.6127675e-05 0.0 0.0 0.0 0.0 0.0 4.0928856e-07 4.0928856e-07 3.683597e-06 0.0 0.0 1.6371542e-06 5.73004e-06 0.0052814595 7.367194e-06 1.6371542e-06 0.00012728875 8.185771e-07 4.0928856e-07 8.185771e-07 2.4557314e-06 7.367194e-06 2.86502e-06 4.0928856e-07 6.1393284e-06 0.0 6.9579055e-06 1.8827273e-05 0.00040273994 0.008756319 2.4557314e-05 2.4557314e-06 0.00027708834 0.00013138163 4.6658897e-05 4.092886e-06 1.0641503e-05 2.2101582e-05 8.185771e-07 1.3915811e-05 8.185772e-06 2.7831622e-05 2.1692294e-05 2.7422333e-05 0.0015217349 0.0025208083 9.004349e-06 2.046443e-06 1.3915811e-05 1.6371542e-06 0.0 1.2278657e-06 2.0055139e-05 2.251087e-05 0.0 0.0 0.0 2.1692294e-05 0.0 3.110593e-05 0.0015471107 0.0028351417 5.36168e-05 0.0001215587 0.00024966602 2.4557314e-06 9.004349e-06 3.970099e-05 5.73004e-06 1.3506522e-05 4.502174e-05 0.00033070517 7.817412e-05 1.9645851e-05 0.00013629309 0.00023206661 0.00923928 0.0035702242 0.00010887076 0.00020096068 0.00015716681 7.408123e-05 2.0464428e-05 9.086206e-05 4.4612454e-05 8.758775e-05 8.758775e-05 0.00023534092 4.1747433e-05 3.6017394e-05 0.00010109427 0.00018663559 0.004177199 0.0050289286 0.0005214336 0.0002574425 9.781997e-05 0.0002607168 7.940198e-05 0.00014529744 6.180257e-05 0.00022633657 6.79419e-05 0.00013833953 0.0003937356 5.2798223e-05 6.9988346e-05 0.00034421167 0.0031507034 0.017783588 0.0030291446 0.00042238578 0.00019809566 0.00046617966 4.0928855e-05 8.267629e-05 7.039763e-05 0.00011910297 0.00010764289 0.001971543 0.0023403119 0.00010150356 0.00102977 0.0048660315 0.0117965145 0.008370769 0.00084804586 0.00026276326 0.00208246 0.0008914305 3.9291703e-05 0.00021364863 0.0001285166 3.8063838e-05 0.0003462581 0.0032996843 0.00048418838 0.00045185458 0.0007760111 0.003553034 0.0050371145 0.013005553 0.00046577037 0.0011734302 0.0025334961 0.0025875224 8.676918e-05 0.0006049285 0.000740403 0.0004645425 0.00042279507 0.004608589 0.0014930847 0.00065322453 0.00093072216 0.004511588 0.010981621 0.01041885 0.0004191115 0.0013903532 0.002188875 0.001096484 0.00053494016 0.0004187022 0.0006994741 0.0004686354 0.00068064686 0.0033655798 0.0016048205 0.0008484552 0.0016952732 0.0034961428 0.010908359 0.0050547137 0.00028527412 0.0004117443 0.0010882983 0.00057464116 0.00038677768 0.00041338144 0.00056768325 0.00044448738 0.00046945398 0.0013187277 0.0009618281 0.0005455816 0.0007334451 0.0015286928 0.0044943974 0.00022224369 1.8417984e-05 9.8229255e-05 2.4557314e-05 6.835119e-05 2.1692294e-05 4.3793876e-05 3.6017394e-05 0.00011501009 6.9579055e-06 7.367194e-06 1.8417984e-05 7.449052e-05 1.1869368e-05 3.5608104e-05 3.5198816e-05 0.0011722024 0.00034421167 0.00041297215 0.0006298951 0.00033193303 0.00034380239 0.0006790097 0.00043139013 0.00033848165 0.00014570673 0.00017394764 0.0001682176 0.00018213342 0.00016330613 0.00016085041 0.0001895006 0.046977323 0.046469804 0.04643788 0.046561077 0.04631141 0.046917975 0.04671988 0.04684103 0.046687547 0.046859037 0.0463417 0.046629835 0.04637362 0.046451386 0.046376485 0.046224233 4406.0 6.4591465 28459.0 0.021856003 0.008362908 0.010260374 0.00892512 0.008292631 0.008960258 0.009417056 0.007695281 0.0097684385 0.009206226 0.008503461 0.009838715 0.009030535 0.011595629 0.012052426 0.012052426 0.016198741 0.013914755 0.011841597 0.011209108 0.009873854 0.009487333 0.009206226 0.009522471 0.009979269 0.009522471 0.009417056 0.007835834 0.009346779 0.009557609 0.009171088 0.007027654 0.008644015 0.00994413 0.008749429 0.011490214 0.01036579 0.008749429 0.008081802 0.0086791525 0.008960258 0.009698162 0.007870972 0.009030535 0.009030535 0.0106468955 0.008854844 0.009276503 0.009663024 0.007589866 0.009803577 0.010295513 0.009346779 0.008819706 0.009276503 0.009276503 0.008257493 0.007870972 0.009206226 0.008608876 0.008819706 0.007976387 0.008538599 0.010049545 0.008784567 0.013528233 0.008960258 0.015320285 0.01380934 0.01728803 0.011279385 0.00994413 0.011138831 0.016936645 0.008749429 0.00871429 0.0124038085 0.013528233 0.014055308 0.01967743 0.012544362 0.00913595 0.015987912 0.015706806 0.018131347 0.010611758 0.010682033 0.010822587 0.008081802 0.010260374 0.008046663 0.00892512 0.009873854 0.009030535 0.008152079 0.009487333 6.540544 2.0 17.0 0.0 4.0 1223640.0 2895872.0 0.0 0.0 17.0 0.0 1.0 1.0 1.0 0.0 1491919000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 5.0 0.0 913408.0 4096.0 4096.0 3.0 1.0 0.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -910336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9996195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.397085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -913408.0 0.0 0.0 0.0 0.0 0.0 1609728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1028.0 2825876.0 298644.0 2527232.0 0.0 0.0 9176.0 1211392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2523584.0 0.0 0.0 0.0 0.0 0.0 0.0 806.0 1236992.0 0.0 0.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016874425 0.0021685432 0.004983341 0.0018095128 0.0017377068 0.0023983226 0.0018238741 0.0020321116 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053208293 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.0036046645 0.0030732995 0.0026209215 0.0024055033 0.0044376147 0.0019459444 0.0020823758 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032743567 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016084559 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.0018884996 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.002283433 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.001989028 0.0016802619 0.0019028607 0.0019674862 0.00201057 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.002699908 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016730813 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021829044 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.004365809 0.0038631663 0.0036046645 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356273 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-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 0.013104022 0.00013382523 9.403935e-05 0.000101273145 0.0056966147 0.002090567 0.00018446181 0.000104890045 8.318866e-05 1.4467592e-05 1.4467592e-05 3.616898e-05 3.2552085e-05 0.00012297454 2.8935185e-05 0.0003797743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1375217800.0 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 49152.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.75560987 0.0013467977 0.0011938745 0.0010999743 0.0018002017 0.0007324219 0.00028974933 0.00019853194 0.0023823832 0.00024950635 0.0005875472 0.0003568209 0.0010570484 0.0004185268 0.0020604397 0.0010194883 0.004504529 0.002564818 0.0002682864 0.00011268029 0.0004158439 0.0050196387 0.00028706645 0.00021462912 0.00095778244 0.00014755753 8.8534514e-05 0.00048291552 0.0004024296 0.0003648695 8.316879e-05 7.5120195e-05 0.0016124012 0.00013682607 9.926597e-05 0.0002682864 0.000493647 0.0005312071 0.00046413546 0.00016097185 0.0019289792 0.00014487466 4.8291553e-05 0.00011804602 0.0005821815 0.00010194883 0.00054998713 5.365728e-05 0.0009792454 0.0002468235 9.121738e-05 0.00032462654 0.0009926597 0.00011536315 9.6583106e-05 0.00011268029 0.00045072116 8.316879e-05 0.0001341432 0.0001046317 0.00040779533 0.00022536058 7.5120195e-05 0.00016365471 0.007026421 0.00046681834 0.00057145004 0.0005660843 0.0053952397 0.003471626 0.0002682864 0.00019048335 0.0013870407 0.0005687672 8.8534514e-05 0.0006653503 0.0012394831 0.0023394574 0.00043730682 0.00055803574 0.005942544 0.0026157924 0.0030665135 0.0018592248 0.0011911916 0.00079949346 0.0008129078 0.0002682864 0.00048828125 8.048592e-05 7.243733e-05 0.00013146034 0.0006385216 0.00019853194 0.0001046317 0.0014863067 0.00028170072 0.0013843578 0.0006036444 0.00035145518 0.0013360663 0.0015024039 0.0013199691 0.000109997425 0.003527966 0.00066803314 0.0018806877 9.121738e-05 0.0007538848 0.00043462397 0.00069486175 0.0006868132 0.0006036444 5.0974417e-05 0.0010785114 0.00050437846 0.0013172863 0.0007672991 0.0004909641 0.00017438616 0.00039169815 0.00012877748 4.024296e-05 4.024296e-05 0.0005875472 0.0012797262 4.8291553e-05 0.0001341432 0.0006841303 0.00012609462 5.902301e-05 0.0016150841 0.00030048078 0.0065032626 3.4877234e-05 6.70716e-05 0.00032462654 0.003911616 7.243733e-05 0.009443682 0.0009416853 0.011785822 0.00012072888 7.243733e-05 0.0013602121 0.0001717033 0.00022536058 6.975447e-05 0.0006787646 0.0023770174 2.682864e-05 3.7560098e-05 0.00068144745 8.585165e-05 1.341432e-05 2.4145776e-05 0.0007485191 0.0002977979 4.560869e-05 3.7560098e-05 0.000453404 0.00021999485 2.1462913e-05 4.560869e-05 0.00061437587 4.8291553e-05 2.1462913e-05 3.7560098e-05 0.00025487208 5.365728e-05 0.00027096926 5.6340145e-05 0.00027365214 7.5120195e-05 5.902301e-05 5.0974417e-05 0.0004909641 5.902301e-05 1.6097185e-05 2.9511504e-05 0.00035950379 3.7560098e-05 0.00016097185 8.316879e-05 0.0010597312 0.00033267515 0.00021462912 3.219437e-05 0.000335358 0.00048828125 3.4877234e-05 0.00012072888 0.0018860534 9.121738e-05 0.00015560612 0.00019048335 0.0010302198 4.2925825e-05 7.780306e-05 0.002328726 0.0005312071 9.926597e-05 3.4877234e-05 5.0974417e-05 0.00055803574 2.9511504e-05 4.024296e-05 6.975447e-05 0.0017680074 5.6340145e-05 5.0974417e-05 0.0006573017 0.00028706645 1.6097185e-05 0.0011911916 0.0011107057 0.0012797262 8.316879e-05 2.9511504e-05 0.0010704627 0.0010033911 6.438874e-05 4.024296e-05 3.7560098e-05 0.0020926339 0.00011536315 0.0009604653 1.341432e-05 0.00033804087 9.390024e-05 6.438874e-05 1.8780049e-05 0.00045072116 0.00025218923 1.8780049e-05 0.0005258414 0.0008236393 1.341432e-05 0.010232443 1.0731456e-05 0.0007672991 1.341432e-05 1.341432e-05 1.8780049e-05 0.00031389509 5.365728e-06 3.219437e-05 9.6583106e-05 0.00038633242 2.4145776e-05 2.9511504e-05 0.00022536058 0.001655327 0.0028116414 0.0076676253 0.03804033 0.60268164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006241391 0.0 0.033178914 2.6902549e-06 1.3451274e-06 1.3451274e-06 0.0 0.0 0.0 1.6141528e-05 2.6902549e-06 0.0 0.0 0.0 1.3451274e-06 0.0 0.002512698 9.5504045e-05 0.042460293 8.070764e-06 1.3451274e-05 9.415892e-06 2.5557421e-05 1.3451274e-05 2.9592804e-05 2.8247676e-05 1.8831784e-05 4.035382e-06 9.415892e-06 4.035382e-06 8.070764e-06 5.3805097e-06 0.0069300965 1.8831784e-05 0.008873805 2.2867165e-05 2.9592804e-05 6.725637e-06 2.5557421e-05 1.0761019e-05 4.035382e-05 2.4212293e-05 2.1522039e-05 1.4796402e-05 2.8247676e-05 6.725637e-06 1.2106147e-05 6.725637e-06 0.0018912491 4.035382e-06 0.0045492207 3.631844e-05 6.9946625e-05 4.707946e-05 0.00014123837 7.398201e-05 0.00031475982 0.0001129907 1.6141528e-05 8.070764e-06 6.725637e-06 1.4796402e-05 1.3451274e-05 2.5557421e-05 8.070764e-06 7.129175e-05 0.0020620804 6.725637e-06 6.725637e-06 1.3451274e-06 2.6902549e-06 2.6902549e-06 0.0 8.33979e-05 0.000102229686 0.0 0.0 2.6902549e-06 2.017691e-05 0.0 3.3628185e-05 0.00043044076 0.010187995 0.00057705963 0.00023943267 0.00022329115 0.00096311123 0.0002703706 0.00041429925 0.00025288394 6.456611e-05 2.1522039e-05 0.00011702609 0.00020445937 4.169895e-05 2.8247676e-05 8.33979e-05 8.474303e-05 0.010863249 0.00040622847 0.00064566114 0.00018697271 0.0020728414 0.00092006713 0.00028247674 0.00014123837 0.00015737991 8.743328e-05 0.00016948605 0.00017621169 9.281379e-05 5.2459967e-05 8.33979e-05 0.00019100809 0.00817703 0.0001519994 0.0005245997 0.000121061465 0.0011393229 0.00071291754 0.0012240659 0.0005837853 0.00018562758 5.2459967e-05 0.00010088456 6.86015e-05 0.000102229686 7.6672266e-05 7.129175e-05 0.00048155562 0.005574208 0.00024884858 0.0006133781 0.0001963886 0.0010935885 0.0006106878 0.0012751808 0.00075461646 9.5504045e-05 5.1114843e-05 8.877841e-05 4.8424587e-05 3.766357e-05 3.9008693e-05 3.2283056e-05 0.0002596096 0.008147437 0.0003537685 0.00082321797 0.00029189265 0.001489056 0.0014634986 0.003559207 0.0019087358 0.00022867166 0.00014661888 0.00013989325 0.00011971634 9.415892e-05 0.00012913223 8.070764e-05 0.00030803418 0.0025086626 0.00012913223 0.00026768036 8.205277e-05 0.00046003357 0.00031072443 0.0007277139 0.00034973313 7.9362515e-05 7.801739e-05 8.474303e-05 5.649535e-05 7.9362515e-05 5.9185608e-05 5.9185608e-05 0.00017755682 0.0166742 0.0073121125 0.0025005918 0.001815922 0.00939706 0.008787718 0.004442956 0.0017661523 0.022342566 0.003832268 0.00091334153 0.0014123837 0.003452942 0.0055378894 0.0016424005 0.03489126 0.009810015 0.0043205493 0.0011783316 0.0011043496 0.005562102 0.004559982 0.0024306453 0.0011003142 0.009527537 0.0017809487 0.0006079976 0.0010707214 0.0022100443 0.0016316395 0.0012482782 0.012462606 0.0042788503 0.0024346807 0.00037125516 0.00052190945 0.0029122008 0.0020634255 0.00088912924 0.00051249354 0.0032982524 0.0008084216 0.00026902548 0.00067390886 0.0010586153 0.001171606 0.0007653775 0.0027642369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 698.0 9.189112 6414.0 0.024789523 0.00015590894 0.0006236358 0.004833177 0.00046772684 0.0009354537 0.006704085 0.0 0.029778609 0.0018709074 0.0 0.0006236358 0.00046772684 0.0010913627 0.0023386343 0.0 0.014031805 0.0034299968 0.002650452 0.0014031805 0.008107265 0.0 0.0012472715 0.0009354537 0.0010913627 0.00046772684 0.0021827254 0.0 0.0009354537 0.0 0.00015590894 0.0 0.008574992 0.0040536327 0.02073589 0.011069535 0.066105396 0.010913626 0.008730901 0.0040536327 0.0010913627 0.009198628 0.00015590894 0.0012472715 0.008263174 0.011225444 0.0077954475 0.0079513565 0.02073589 0.009042719 0.011693171 0.026972247 0.0074836295 0.0009354537 0.010601808 0.0003118179 0.0018709074 0.00015590894 0.0003118179 0.0 0.002494543 0.0 0.0 0.05238541 0.0003118179 0.061116308 0.030558154 0.011381353 0.013875896 0.053944495 0.015279077 0.002806361 0.05799813 0.02369816 0.02821952 0.0021827254 0.021047708 0.01637044 0.024789523 0.021983162 0.006392267 0.00046772684 0.04427814 0.018864984 0.038977236 0.0076395385 0.02385407 0.002494543 0.008107265 0.00296227 0.0 0.0 0.018085439 0.004833177 0.0 0.0 5.4230623 3.0 0.0 0.0 1.0 372736.0 380928.0 0.0 0.0 88.0 0.0 1.0 0.0 0.0 0.0 1080153100.0 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 360448.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -360448.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.354094 0.0 3.2326286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -360240.0 0.0 2340.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 362404.0 2340.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 464.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.37011683 0.015822357 0.0054357634 0.0054244855 0.010048267 0.0037779682 0.0043080114 0.0020186757 0.009642277 0.002334446 0.0024021112 0.002052508 0.005954529 0.0030336522 0.0014209672 0.0040373513 0.02175433 0.001702905 0.0015337423 0.0019510104 0.0034509203 0.003383255 0.0008007037 0.001003699 0.0025938288 0.0011164742 0.00060898595 0.000676651 0.0023570012 0.0012856369 0.000676651 0.0010488092 0.006191357 0.00087964634 0.0006879285 0.0008570913 0.011728617 0.0026276615 0.00096986647 0.00050748826 0.0015562974 0.0011277517 0.0007330386 0.0015562974 0.0012856369 0.0008119812 0.0014322447 0.0013871347 0.006326687 0.0020976183 0.002334446 0.0048493324 0.0025374414 0.0024923312 0.0015224648 0.0017141826 0.0025261638 0.0027742693 0.002266781 0.005277878 0.0027742693 0.0018607903 0.0017367377 0.0020863407 0.0022555033 0.0028419343 0.00060898595 0.0016126849 0.004691447 0.0058755865 0.0026051064 0.001702905 0.0019735654 0.0021878383 0.00075559365 0.00075559365 0.0038230782 0.0038118009 0.0011503068 0.0007104836 0.0059206965 0.0028419343 0.0015901299 0.0044095092 0.0024923312 0.0039584087 0.004736557 0.0029998196 0.0010600867 0.0038681885 0.00062026345 0.0019961204 0.0016690725 0.0020976183 0.0038005232 0.0026953267 0.0011954168 0.002920877 0.00049621076 0.0022780586 0.0037215806 0.006371797 0.0013871347 0.0016465175 0.0043305666 0.0037441356 0.0046576145 0.0005300433 0.0025261638 0.0014547997 0.0032366475 0.0032366475 0.0022329483 0.00056387583 0.004556117 0.0036990256 0.012236106 0.01021743 0.0017254602 0.0012630819 0.0014773548 0.0010600867 0.00050748826 0.00049621076 0.0014999098 0.001984843 0.0010149765 0.000676651 0.002898322 0.0017818477 0.001003699 0.012010556 0.003293035 0.004838055 0.0012630819 0.0003383255 0.0033494225 0.00835664 0.0030223746 0.021844551 0.00094731146 0.008108535 0.00060898595 0.0007217611 0.0071837786 0.00048493323 0.00025938288 0.0005413208 0.00064281846 0.00049621076 0.00025938288 0.00025938288 0.0005300433 0.00030449298 0.00023682787 0.00019171779 0.00063154096 0.00025938288 0.0004511007 0.00034960304 0.0009134789 0.0015675749 0.00029321545 0.0008232588 0.0011841393 0.0007781487 0.00037215807 0.00025938288 0.0007330386 0.0004059906 0.00038343557 0.00041726814 0.00043982317 0.00021427282 0.0011277517 0.0002706604 0.0008232588 0.00023682787 0.00023682787 0.00038343557 0.00094731146 0.0004511007 0.0007217611 0.00018044027 0.0018044028 0.0006879285 0.00050748826 0.00048493323 0.0006653735 0.0005751534 0.0011728618 0.0014435222 0.008773908 0.004161404 0.0020186757 0.0051989355 0.003428365 0.0005525983 0.002684049 0.002943432 0.0025148864 0.0026953267 0.00087964634 0.00096986647 0.003011097 0.0012179719 0.0011954168 0.0006653735 0.0009247564 0.0021765607 0.0011051967 0.0011728618 0.00094731146 0.0006879285 0.00089092384 0.00048493323 0.0012518044 0.0006653735 0.00049621076 0.000981144 0.0008345363 0.0002706604 0.0005751534 0.0004511007 0.0033494225 0.0011051967 0.00060898595 0.00042854564 0.0012969144 0.00064281846 0.00056387583 0.0006879285 0.011706063 0.0027178817 0.00048493323 0.0038794659 0.0031689822 0.0004511007 0.00063154096 0.0005413208 0.0027855467 0.0012292494 0.001353302 0.0017818477 0.001330747 0.0004623782 0.0019510104 0.002684049 0.0033043125 0.0010826417 0.0007781487 0.0007894262 0.0040486287 0.0010939192 0.0024810538 0.028419344 0.18822381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1488971e-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 0.02170841 0.000591682 0.00020680147 4.02114e-05 3.4466913e-05 4.5955883e-05 2.2977942e-05 0.00012063419 0.00014361214 5.170037e-05 3.4466913e-05 0.00012637868 0.00024701288 1.1488971e-05 1.7233457e-05 0.00012637868 0.020909926 0.0005629596 0.0005170037 0.00014935662 0.00017807905 0.00015510111 0.00022977941 0.0001608456 0.00017807905 5.170037e-05 4.5955883e-05 7.467831e-05 0.00021254596 2.8722427e-05 5.170037e-05 2.2977942e-05 0.010139016 0.0005629596 6.893383e-05 3.4466913e-05 5.7444853e-05 7.467831e-05 3.4466913e-05 9.191177e-05 7.467831e-05 3.4466913e-05 4.02114e-05 9.765625e-05 0.00028722428 2.2977942e-05 1.1488971e-05 0.00013212317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017371323 0.00034466913 0.0002355239 0.000114889706 0.0006663603 0.0003963695 0.0022173712 0.0012580423 7.467831e-05 5.170037e-05 0.00012063419 8.616728e-05 0.00018382353 0.00013212317 8.616728e-05 0.00018956802 0.006853171 9.191177e-05 0.0008789062 0.00024701288 0.00024701288 0.00024126838 0.0020507812 0.0010857077 5.7444854e-06 1.1488971e-05 2.8722427e-05 0.0 0.0 0.0 5.7444854e-06 1.7233457e-05 0.006577436 0.00018382353 0.00015510111 0.0027975643 0.00014935662 0.00022403493 0.00017807905 0.0001608456 0.00017807905 0.00017233456 0.00017233456 0.00016659008 0.00020105699 0.00012637868 0.00017233456 0.00014935662 0.027757352 0.0020278033 0.0011776194 0.0039119944 0.0010454963 0.0010569853 0.0017118566 0.001171875 0.0012293198 0.0007295496 0.0005974265 0.0008157169 0.001160386 0.0004653033 0.00065487134 0.0015452666 0.0038602941 5.170037e-05 8.04228e-05 9.765625e-05 0.0010627297 0.0005859375 0.0032973345 0.0017980239 5.170037e-05 5.170037e-05 7.467831e-05 8.616728e-05 6.893383e-05 0.0005112592 4.02114e-05 4.5955883e-05 0.019519761 0.0026137407 0.0032513787 0.013051471 0.002734375 0.0022748162 0.010581342 0.006025965 0.00087316177 0.0009880515 0.0010971967 0.0011029412 0.0014131434 0.0016486673 0.000970818 0.0024414062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049546186 0.011868106 0.0062672333 0.0057674632 0.012327665 0.0142520685 0.00636489 0.012568934 0.02780331 0.0020392924 0.0016659007 0.0021599266 0.013574218 0.003268612 0.01148897 0.019037224 0.074580655 0.026367188 0.019944852 0.017170267 0.018152574 0.026872702 0.0146197155 0.019577205 0.043767232 0.008438649 0.0056985295 0.0060087317 0.025654871 0.007157629 0.01868681 0.03200827 0.0019301471 0.00076976104 0.0008272059 0.0011259192 0.0006491268 0.0006950827 0.0015567555 0.0009995404 0.0006606158 0.00029871325 0.00036190258 0.00037913604 0.00030445773 0.0003963695 0.000390625 0.00041934743 479.0 14.507307 6949.0 0.04187653 0.0018707728 0.0018707728 0.000719528 0.008346525 0.0047488846 0.0015829615 0.00057562237 0.0034537343 0.002158584 0.00028781118 0.001439056 0.0059001297 0.0051806015 0.012088071 0.013239315 0.03266657 0.01309541 0.013383221 0.013239315 0.011512448 0.00978558 0.008634336 0.006763563 0.0060440353 0.009929487 0.012519787 0.0073391856 0.00849043 0.005036696 0.0077709025 0.009641675 0.0034537343 0.011080731 0.0020146784 0.011368542 0.0059001297 0.0069074687 0.00489279 0.005756224 0.004604979 0.0047488846 0.0017268672 0.002158584 0.0059001297 0.005324507 0.0030220177 0.002878112 0.012375881 0.004604979 0.008346525 0.020146783 0.00849043 0.0025903007 0.011080731 0.006763563 0.002158584 0.001439056 0.0023024895 0.001439056 0.0041732625 0.0017268672 0.0033098287 0.00359764 0.002446395 0.031371422 0.0038854512 0.024463952 0.021729745 0.06576486 0.008634336 0.015829615 0.010936826 0.044610735 0.002878112 0.002158584 0.024032235 0.013383221 0.037415456 0.037991077 0.016549144 0.0011512447 0.046625413 0.029212836 0.047488846 0.017700389 0.008202619 0.0061879405 0.005756224 0.008778241 0.0012951504 0.0008634336 0.0015829615 0.00057562237 0.001439056 0.0015829615 5.8417063 1.0 15.0 0.0 2.0 88672.0 86016.0 0.0 2.0 75.0 1.0 0.0 1.0 0.0 0.0 1142419800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.745626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0026255 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2304722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6438622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5190.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44894.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -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 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102.0 54944.0 60.0 53192.0 0.0 0.0 0.0 0.0 6752.0 81920.0 3012.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 308.0 49152.0 0.0 0.0 0.0 0.0