Input: 0.037647147 0.004290921 0.003986168 0.0037829997 0.0063916845 0.0033319653 0.003567641 0.0043193647 0.0041893367 0.0036245282 0.0037139223 0.0033644724 0.004059309 0.003352282 0.0033482187 0.007858562 0.003929281 0.0038033165 0.0033482187 0.003535134 0.0034010427 0.0033482187 0.003567641 0.0034010427 0.003437613 0.0036164015 0.003165367 0.0033238386 0.0036529717 0.003567641 0.003352282 0.003514817 0.0058878264 0.0033725991 0.0034660567 0.003327902 0.009634255 0.0033604088 0.0033766625 0.003283205 0.0036651618 0.0036285915 0.003275078 0.0032994584 0.0037383025 0.0033969793 0.0033238386 0.003283205 0.004136513 0.0044697095 0.0041080695 0.004278731 0.004652561 0.0039211544 0.0038927107 0.005741545 0.004526597 0.004116196 0.0031125431 0.0034498032 0.003522944 0.0033360287 0.0034538666 0.0037667463 0.0036367183 0.0034538666 0.0032710147 0.003392916 0.004311238 0.00415683 0.0038723939 0.003600148 0.003392916 0.0035432607 0.0033644724 0.0034782467 0.003600148 0.0033197752 0.0034416765 0.0033725991 0.003697669 0.0034619933 0.0034498032 0.00345793 0.0034294862 0.003612338 0.0034498032 0.003437613 0.0033604088 0.003295395 0.0036692251 0.0034457399 0.0034091694 0.0033604088 0.0035188803 0.009203538 0.004863857 0.0042055906 0.0038764572 0.0041852733 0.0055830735 0.0041893367 0.007724471 0.0032588246 0.0042177807 0.0036814155 0.0034660567 0.003283205 0.003994295 0.0033969793 0.0034538666 0.0037383025 0.00345793 0.0034538666 0.0036367183 0.0036773519 0.004559104 0.003754556 0.003502627 0.0034213595 0.0035066903 0.0035270073 0.0035757676 0.0032141276 0.0033482187 0.0034904368 0.0035513875 0.0032344444 0.0037911264 0.003502627 0.0036814155 0.004234034 0.0037586195 0.0037261124 0.0035513875 0.003697669 0.0041893367 0.0054164752 0.0035188803 0.003941471 0.0032547612 0.0056684045 0.0034660567 0.0036732885 0.003392916 0.0033116485 0.003417296 0.0034294862 0.0033685358 0.0034132327 0.0032669513 0.0031369235 0.0036610984 0.0035066903 0.0035188803 0.003275078 0.005944714 0.0032872683 0.0033685358 0.0034741834 0.0033197752 0.003275078 0.0031166065 0.0036895422 0.0033319653 0.0032263177 0.0032263177 0.0034213595 0.0030922263 0.003262888 0.0033482187 0.0035107536 0.003522944 0.0032344444 0.0034498032 0.0034538666 0.0034498032 0.003262888 0.0033441554 0.0033888526 0.003275078 0.00345793 0.0036042114 0.0038114432 0.004034929 0.0034294862 0.0040430557 0.0036936055 0.0033969793 0.0035066903 0.0039008374 0.0031369235 0.0044372026 0.00418121 0.0035107536 0.0036285915 0.003941471 0.0035960844 0.0044006323 0.0040511824 0.0037504926 0.0036854788 0.0033157119 0.0033644724 0.003352282 0.0034132327 0.003340092 0.003522944 0.0038236333 0.0032466345 0.004034929 0.0036164015 0.0034416765 0.0033888526 0.0032588246 0.0035432607 0.0037708096 0.0034091694 0.0034294862 0.0033157119 0.0033847892 0.0033847892 0.0036407816 0.003632655 0.003612338 0.003405106 0.0035391974 0.0034416765 0.003327902 0.0033238386 0.0034904368 0.0034945002 0.005721228 0.006221023 0.0035595142 0.0034538666 0.0034294862 0.0033685358 0.003522944 0.0033441554 0.003405106 0.0034660567 0.0036367183 0.0035432607 0.0033847892 0.0039983583 0.004067436 0.0037057956 0.004018675 0.0042137173 0.0037951898 0.0033766625 0.0036773519 0.0036204648 0.0039658514 0.010893901 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 246101.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 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 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.13533698 0.013398269 0.007184312 0.008496528 0.010771209 0.007655027 0.007129089 0.0061561037 0.009790335 0.0051173763 0.013145819 0.00568013 0.009937597 0.006050916 0.00389983 0.010873767 0.009895522 0.0059772846 0.0039682016 0.0033712622 0.0059036533 0.008170446 0.0035974155 0.0034080779 0.0058931345 0.0032134808 0.0039261268 0.0035185248 0.007549839 0.0029163258 0.0025376505 0.0030267728 0.008538603 0.0024429818 0.0022326065 0.0021537158 0.010529278 0.003602675 0.0022930894 0.00237198 0.003939275 0.002066936 0.0029163258 0.0032555559 0.0034974874 0.0023877583 0.0025744662 0.0018802282 0.0040733893 0.002229977 0.002009083 0.005185748 0.004688737 0.0027112102 0.001967008 0.0017855593 0.003187184 0.0031582573 0.003008365 0.003694714 0.0031845542 0.002679654 0.0016225185 0.0019801564 0.0063875164 0.008806831 0.0027822116 0.0028190273 0.006145585 0.010055933 0.003142479 0.0027979899 0.0027953603 0.0023509427 0.0041733175 0.00262706 0.0044073598 0.0031240713 0.0020616767 0.00203275 0.011494374 0.004620365 0.0032239996 0.0043468773 0.003965572 0.0042574676 0.004670329 0.0049201497 0.0023325349 0.0014594778 0.002432463 0.002684913 0.0032213698 0.0023693505 0.0022247175 0.0025613178 0.0024535004 0.0032687043 0.0016146295 0.00237198 0.0039182375 0.004875445 0.00465981 0.0017697812 0.006263921 0.0031398495 0.0060982504 0.001788189 0.0040917974 0.0018828579 0.0032529263 0.0036316016 0.0029952165 0.0018039672 0.0039024595 0.003145109 0.009887633 0.0068003777 0.0018355234 0.0022404958 0.002177383 0.0016645936 0.0021642346 0.001754003 0.0037341595 0.0024692786 0.0017618921 0.0018749688 0.005109487 0.0036342312 0.0015751842 0.009353806 0.0054460876 0.008775274 0.0020879735 0.002009083 0.0031845542 0.0065268897 0.004686107 0.018523535 0.0022589036 0.0065663354 0.0015488872 0.0014857746 0.0044073598 0.0016067404 0.0012149167 0.0010939509 0.0018407828 0.001414773 0.0011728416 0.0010939509 0.0014174028 0.002584985 0.0019038954 0.0012333245 0.0017171873 0.0011255072 0.0010650243 0.0012780292 0.008065258 0.004907001 0.0032765933 0.0029636603 0.0023772395 0.0015567763 0.0012832886 0.0019643782 0.0027427664 0.0022036799 0.0010492462 0.0009861337 0.0011912495 0.0008467601 0.0010886915 0.0014384403 0.003237148 0.002466649 0.001830264 0.0015778139 0.0019459703 0.0011675822 0.0011544338 0.0015830732 0.0024166848 0.0013911058 0.000949318 0.0010439868 0.0012780292 0.00152522 0.0021037518 0.0018171156 0.006916084 0.0044809915 0.0027848415 0.004338988 0.00313459 0.00152522 0.0025639476 0.004249579 0.0026559867 0.0023351645 0.0011202479 0.0010518759 0.0016461858 0.0008546492 0.000991393 0.0010098008 0.003542192 0.0023667207 0.0019564892 0.0017355952 0.0015331091 0.0013411418 0.0010913212 0.001338512 0.0024508708 0.0014436997 0.0009361695 0.0016198888 0.0014279215 0.0009519477 0.00094142894 0.0010965806 0.0026454679 0.0013411418 0.0011728416 0.0011675822 0.001593592 0.0008283523 0.0008756867 0.00080205535 0.008512306 0.0043626553 0.00073105376 0.0035816375 0.0022694222 0.0012596213 0.000983504 0.00085201947 0.0029978463 0.0016067404 0.0012596213 0.0014305512 0.0020906033 0.0010387275 0.0018328937 0.0017750405 0.0038156798 0.0019538593 0.0023009784 0.0016382966 0.0024640192 0.0024061662 0.002787471 0.019883083 0.021535842 1.8475506e-05 2.6393582e-06 5.2787163e-06 2.1114865e-05 6.5983954e-06 5.2787163e-06 2.6393582e-06 9.237753e-06 0.0 0.0 0.0 0.0 0.0 1.3196791e-06 1.3196791e-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 0.0024638409 2.5073901e-05 6.5983954e-06 2.6393582e-05 3.0352618e-05 1.0557433e-05 7.9180745e-06 1.0557433e-05 5.6746198e-05 5.2787163e-06 7.9180745e-06 1.3196791e-05 3.9590373e-06 2.5073901e-05 6.5983954e-06 2.6393582e-06 0.004720492 5.1467483e-05 4.8828126e-05 4.3549408e-05 8.18201e-05 3.959037e-05 0.00017947635 9.633657e-05 1.7155828e-05 1.0557433e-05 1.9795185e-05 3.9590373e-06 2.3754223e-05 1.7155828e-05 9.237753e-06 4.222973e-05 0.0021880278 0.0 5.2787163e-05 4.091005e-05 4.091005e-05 4.222973e-05 0.00021246832 0.00011217272 0.0 1.3196791e-06 0.0 0.0 1.1877111e-05 0.0 0.0 0.0 0.012576541 0.0005819785 0.0002335832 0.00037874788 0.00020586993 0.00011481208 0.00073374156 0.00050675677 0.00023754223 6.862331e-05 6.466427e-05 9.501689e-05 0.00010557433 0.0001451647 6.994299e-05 9.765625e-05 0.010086307 0.0003470756 0.00023490287 0.00023622255 0.00038006756 0.00021774705 0.00054502743 0.0002903294 0.00038930532 0.00016627955 4.7508445e-05 9.237754e-05 0.000120090794 5.410684e-05 6.466427e-05 0.00024150127 0.008828653 0.00022566512 0.0010636613 0.00020982897 0.00031012457 0.00016891892 0.003474715 0.0016839105 0.00012932855 1.45164695e-05 1.0557433e-05 1.8475506e-05 2.9032939e-05 2.3754223e-05 1.45164695e-05 1.0557433e-05 0.0072569153 0.000100295605 0.0006690773 0.00069151184 0.000567462 0.00026261614 0.002170872 0.0010900549 2.6393582e-05 0.00054502743 1.0557433e-05 1.5836149e-05 1.8475506e-05 5.2787163e-06 9.237753e-06 7.3902025e-05 0.0083456505 0.0004473712 0.00046320734 0.0004394531 0.0015651394 0.00065060175 0.0032028612 0.0016443201 0.00018739443 0.0008472339 0.000100295605 0.00014780405 0.00010161529 6.0705235e-05 8.18201e-05 0.0006334459 0.0051744618 0.00023226351 0.00053974875 0.0002956081 0.0009884397 0.00054238806 0.0024493244 0.001179793 0.00034575592 0.00032464103 6.202491e-05 0.00010557433 0.00019003378 4.4869088e-05 0.0001636402 0.00087494723 0.00571553 0.00069019216 0.00067831506 0.0006677576 0.0007918074 0.0002784523 0.0013658678 0.00078916806 0.0005041174 0.00031408362 0.00020059121 0.00019663217 0.00026921454 0.00024678 0.00024941933 0.0005555849 0.043145586 0.008939506 0.004178104 0.0039300043 0.012803527 0.0064875423 0.004323269 0.0032134184 0.018243244 0.0012246622 0.0023081186 0.0022183806 0.004310072 0.0017644109 0.0049210833 0.01582691 0.016676784 0.0038719384 0.0028689823 0.0021853885 0.004518581 0.0027502112 0.0046452703 0.0031144426 0.0048960093 0.0018000422 0.0021352407 0.0010412268 0.002483636 0.0011415224 0.0016891892 0.0036409944 0.02401156 0.009351246 0.007326858 0.0055334144 0.008597709 0.007989337 0.0069388724 0.0065851985 0.009923986 0.0043193097 0.005336782 0.002742293 0.0051375106 0.0029666384 0.0033744194 0.006081081 0.08552972 0.052246094 0.038481843 0.032630384 0.035787057 0.041418128 0.024961729 0.030047772 0.0481023 0.016616078 0.027764728 0.0208892 0.029001268 0.01936761 0.022439823 0.023364918 2344.0 7.631826 17889.0 0.029179944 0.005254626 0.0042484207 0.004304321 0.023589915 0.00816144 0.004304321 0.004304321 0.010229751 0.004304321 0.004472022 0.005925429 0.007714238 0.0064285314 0.00816144 0.0036335178 0.011068254 0.005590027 0.007993739 0.010956454 0.007155235 0.005142825 0.0058695287 0.003857119 0.0065962323 0.007826039 0.0058136284 0.004695623 0.007322936 0.0037453184 0.0026832132 0.0033540165 0.007490637 0.013527866 0.008776343 0.010900553 0.02856504 0.01235396 0.008329141 0.007826039 0.005310526 0.009223545 0.007490637 0.0064285314 0.012577562 0.007378836 0.006763933 0.0070993346 0.0202359 0.010732853 0.011850858 0.016937783 0.013304265 0.011850858 0.011291855 0.01632288 0.005534127 0.0039689196 0.00413662 0.005310526 0.0076583377 0.004639723 0.0038012187 0.0062049306 0.0038012187 0.02470792 0.007546537 0.015763877 0.017832188 0.045838226 0.011850858 0.01011795 0.013975069 0.023813516 0.008385041 0.005478227 0.025266923 0.0108446535 0.02442842 0.029906647 0.012745262 0.0031304155 0.025658226 0.021298004 0.042092904 0.017664487 0.005310526 0.0076583377 0.00804964 0.0068198335 0.0056459275 0.0025714126 0.0054223267 0.002850914 0.0031304155 0.0026832132 6.2268896 0.0 1.0 0.0 11.0 380273.0 126976.0 0.0 0.0 170.0 0.0 1.0 0.0 0.0 0.0 957209150.0 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 5.0 10.0 4.0 0.0 4.0 0.0 64000.0 1536.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64000.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.555734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8374258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.902322 0.0 3.7832074 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5246.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63990.0 0.0 17728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 -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 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 1.0 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 -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 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 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 -2.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 71168.0 17728.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 69632.0 0.0 0.0 0.0 0.0


Input: 0.13670902 0.0082832975 0.0040175547 0.0032861137 0.005989939 0.0037896505 0.0019473267 0.0018816999 0.007566176 0.0014497561 0.0016335112 0.0014449833 0.004389838 0.0013173092 0.0011812828 0.0037335695 0.0059159594 0.0014449833 0.0011395202 0.00086030795 0.0023721112 0.0019031778 0.00073740684 0.0007934879 0.0022158 0.0007254747 0.0007982608 0.00068371213 0.0015535658 0.00058109564 0.0005715499 0.000544106 0.0037359558 0.0005643907 0.00062763103 0.00052262814 0.0039996565 0.0012683874 0.0004474556 0.00054052635 0.0011395202 0.00062882423 0.0005620042 0.00090803654 0.0010643477 0.0022551762 0.00065149536 0.0004987638 0.0089884875 0.0035784515 0.0067249592 0.010732968 0.0068335417 0.0029007054 0.006096135 0.002642971 0.007199859 0.0029174103 0.000688485 0.0014282783 0.0016060673 0.0009402533 0.00044864882 0.0005095028 0.011346281 0.003786071 0.0047239377 0.008507622 0.0037287965 0.03138155 0.0031500873 0.0026107542 0.0032610563 0.0034197539 0.002109604 0.0022694948 0.0026119475 0.0042287535 0.0011180424 0.0014760068 0.008731946 0.002066648 0.0019819299 0.009403727 0.0030892333 0.0133377565 0.0031059384 0.002020113 0.0018566424 0.006278697 0.002642971 0.0031417347 0.0015094168 0.004469783 0.0022921658 0.0034746418 0.005556802 0.004764507 0.0026226863 0.0036751018 0.010059995 0.0063753473 0.0047740526 0.001998635 0.008706889 0.0046225144 0.004570013 0.0018220391 0.004503193 0.0022026747 0.005185712 0.004389838 0.0042836415 0.0020976719 0.0056880554 0.0042036963 0.010855869 0.005796638 0.0027515537 0.0015559522 0.0038135147 0.0012182724 0.0005118892 0.00056916353 0.0015941351 0.0024281924 0.0010249716 0.00084360293 0.0050568446 0.0011168491 0.0010500291 0.008740299 0.0030104811 0.0031119045 0.0009975276 0.00059660745 0.0025677984 0.014647906 0.0021537528 0.04988593 0.0011538388 0.010608873 0.0008268979 0.0006562682 0.0025618323 0.00042836415 0.00070161035 0.0006228582 0.0010834391 0.0009032637 0.0014581087 0.00054768566 0.0011323609 0.0005679703 0.00048205882 0.0006872918 0.0009223551 0.00045938772 0.00044864882 0.00040449985 0.0008650808 0.0032109413 0.00044984202 0.0024604092 0.0013733903 0.000788715 0.000544106 0.00043671665 0.0010094598 0.0004414895 0.00049160456 0.00047012666 0.0008173522 0.00043433023 0.00071592897 0.00063479034 0.0012779331 0.00066104106 0.0016693077 0.0005178553 0.0008471826 0.0006467225 0.0006872918 0.0015237355 0.0030391184 0.0024448973 0.004486488 0.00079468114 0.00096531084 0.00046296738 0.00082331826 0.0006896782 0.0115729915 0.0011084967 0.0022062543 0.009983629 0.0042036963 0.001021392 0.003431686 0.0032491242 0.001804141 0.0017027176 0.0009486058 0.0012564553 0.0016227723 0.00086150115 0.00095695833 0.00090922974 0.0027730314 0.0011096898 0.002869682 0.0013053771 0.001749253 0.00074098643 0.0015475997 0.00084479613 0.0032491242 0.0006312107 0.0010476427 0.0017241956 0.00144379 0.00069325784 0.0005429128 0.00081257935 0.0023530198 0.00063479034 0.0008471826 0.00095576514 0.0023470537 0.0023458605 0.00053098064 0.0006693936 0.026634943 0.005813343 0.001054802 0.005691635 0.006302561 0.0010058802 0.0006562682 0.0007278611 0.0069874665 0.0009426398 0.0017528327 0.0008865587 0.008815472 0.002094092 0.0039519276 0.0025021716 0.00971277 0.0029460476 0.002965139 0.0034853807 0.014363921 0.0038552773 0.0041500013 0.06650383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003799868 0.0 0.0 0.0006861039 0.00040998892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011399604 0.0 0.0 0.0028854613 0.0016268073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016069055 0.0 0.0 0.009487717 0.0062669734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004607295 0.0 0.0 0.0037454818 0.0026631348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053131214 3.5859089e-06 1.7331893e-05 6.454636e-05 0.00014343635 7.291348e-05 5.976515e-06 7.1718177e-06 1.4941286e-05 0.0 0.0 1.7929544e-06 7.769469e-06 2.9882574e-06 4.781212e-06 0.00034544256 0.0058755116 0.00019842028 0.0002055921 0.0005307145 0.0018413642 0.00047035172 0.0023583327 0.0010261675 0.00018766256 9.681954e-05 8.905007e-05 7.231583e-05 0.00064725656 0.00036636036 0.00038608286 0.0027838605 0.012839346 0.00061797164 0.00091141846 0.0020057184 0.0039791637 0.0034777338 0.0067134188 0.0030928464 0.00043748086 0.00022710756 0.00029942338 0.00031854823 0.0020069135 0.0010644173 0.0010811515 0.008662958 0.020017141 0.0012556658 0.0011887287 0.00200273 0.007051092 0.0024683005 0.0064486596 0.003138268 0.0023051417 0.0009395081 0.00094130106 0.0012873412 0.0039110314 0.0025537647 0.0025770732 0.009233715 0.019491805 0.0015054841 0.0012060606 0.0021856115 0.009086693 0.0038978828 0.005672908 0.0032846925 0.005601787 0.0013626453 0.0017146621 0.0022220681 0.0037233687 0.0017086855 0.0038990781 0.00932396 0.07137692 0.009467397 0.007021209 0.009721996 0.0405638 0.029513225 0.020545464 0.013455525 0.04964093 0.005102748 0.0058396524 0.008817152 0.01618978 0.0068215937 0.026464008 0.058895566 0.05811264 0.009769211 0.008793844 0.011256168 0.027119033 0.02951681 0.017042032 0.014090231 0.048046995 0.005675896 0.0062520322 0.008824921 0.02034824 0.010548549 0.024190541 0.046802085 0.00022531461 4.6019162e-05 8.307355e-05 5.0202725e-05 8.725711e-05 9.562424e-05 4.1835603e-05 6.335106e-05 0.00012969036 2.8089618e-05 3.227318e-05 2.8089618e-05 8.12806e-05 5.7972193e-05 7.0522874e-05 0.0001033937 5347.0 22.068449 118000.0 0.003966102 9.322034e-05 0.00040677967 6.779661e-05 0.002440678 0.00041525424 9.322034e-05 0.00012711865 0.0002881356 0.00029661017 0.0005338983 0.0004237288 0.0003644068 0.010381356 0.0008220339 0.00033898305 0.04312712 0.01912712 0.04429661 0.01583051 0.041025423 0.017627118 0.0404661 0.01570339 0.042559322 0.017372882 0.0006016949 0.00037288136 0.00069491524 0.0003898305 8.474576e-05 0.00010169492 0.0009915255 0.0062118643 0.0053898306 0.010567796 0.0051949155 0.011745763 0.003440678 0.002237288 0.0035847458 0.01281356 0.0017881356 0.0029067798 0.0049661016 0.004855932 0.0032288136 0.0067118644 0.009398305 0.0019067797 0.004355932 0.01490678 0.009516949 0.0045593223 0.00429661 0.0025423728 0.0020254238 0.0038983051 0.0011101695 0.002177966 0.0008474576 0.0020338984 0.002118644 0.016161017 0.00018644068 0.025847457 0.015949152 0.023169491 0.026796611 0.04155085 0.015076271 0.010855932 0.021508474 0.028881356 0.0124152545 0.00829661 0.025237288 0.012211865 0.033805083 0.028161017 0.022186441 0.0051271184 0.034745764 0.024033898 0.037093222 0.011016949 0.014889831 0.007576271 0.017576272 0.004864407 0.00076271186 0.0002118644 0.0003983051 0.00018644068 0.00022033899 0.00022881356 5.6618023 0.0 2.0 14.0 4.0 838072.0 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 -6.6283274 0.0 0.0 0.0 0.0 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: 0.13157739 0.009048027 0.0063050683 0.005223864 0.005220199 0.0043457067 0.0038054714 0.0047294423 0.0045835716 0.0053843954 0.0032505754 0.004075589 0.0044549266 0.0027785108 0.0039487765 0.0039385143 0.0044355015 0.0030156428 0.0042801015 0.0036749938 0.0035829998 0.002486769 0.003572371 0.0032212546 0.0042210934 0.0030244389 0.0027810764 0.0022492707 0.004021712 0.0029423407 0.0033498995 0.003547082 0.0057164533 0.003604624 0.00298339 0.0024002728 0.0038938 0.0043119877 0.0033407367 0.0034723138 0.0040253773 0.0040242774 0.003140989 0.0032256527 0.0038963656 0.0036900206 0.0033187463 0.003398279 0.004918195 0.0040033865 0.0033715237 0.0032916246 0.0031933999 0.0026678247 0.0025553063 0.0024607468 0.0036357772 0.0030405654 0.003160414 0.002957734 0.003249476 0.0026832183 0.0031032385 0.0031343917 0.005546393 0.003194866 0.0029654307 0.0026062513 0.0034906394 0.002668558 0.002711073 0.0023852459 0.00422146 0.003035434 0.0032619373 0.0033605283 0.0033139817 0.002448652 0.0031860697 0.0032135579 0.0048086084 0.0035496475 0.003085646 0.002862075 0.003254607 0.0031156999 0.0028767355 0.0030493615 0.003791544 0.0030401987 0.0034866077 0.0032454443 0.0033194793 0.0028873642 0.0033718902 0.0036115877 0.005110246 0.0032417793 0.003160414 0.0027334301 0.0032472769 0.0029089884 0.0029595667 0.0024761402 0.0037438977 0.0028191933 0.002508393 0.002966164 0.003234449 0.002316342 0.0027510226 0.0029602996 0.0037886119 0.00292035 0.0028880972 0.002969829 0.0034004778 0.0028888301 0.0027539546 0.00305266 0.003221621 0.0028847987 0.002977159 0.0029067893 0.003232983 0.0029602996 0.003124496 0.0037666212 0.00854261 0.003919822 0.003235182 0.002969096 0.0036434738 0.0028250576 0.002657929 0.0028012344 0.0037552593 0.0035775022 0.002560804 0.0031549165 0.0030028147 0.0025149903 0.002800135 0.0026121153 0.004052499 0.002714005 0.003140256 0.0026942135 0.0030577912 0.0027792437 0.0029973171 0.0029621322 0.003422102 0.003072085 0.00245305 0.0022353432 0.0030790488 0.0028602425 0.00250766 0.0027407603 0.0041536554 0.002672223 0.002675155 0.0024350912 0.0030882116 0.0025586048 0.0026839513 0.0025633695 0.003232983 0.0024915335 0.0031607805 0.0026901818 0.0028386184 0.0024017387 0.0023929426 0.0026648927 0.0035632083 0.002849247 0.002823225 0.0025039949 0.0029350105 0.0027854745 0.002508393 0.0026799196 0.003662166 0.003194866 0.0028668398 0.0029544355 0.0034825762 0.0031285277 0.0029045902 0.0035034672 0.005717919 0.0037750509 0.0030962748 0.002955535 0.0033370717 0.0027495564 0.0027173036 0.0028276232 0.003455821 0.002974227 0.0027165706 0.0027979359 0.004530061 0.0023896438 0.0026436353 0.0026645262 0.003527657 0.002785108 0.002774479 0.0027271993 0.0032469104 0.002467344 0.0037724853 0.0028672062 0.0032780636 0.0028459486 0.0027191362 0.0024761402 0.0032974887 0.0054291096 0.0026505988 0.002972761 0.0054620956 0.0029331779 0.0031120346 0.0029177845 0.0036625324 0.0027774114 0.0030761168 0.0028393515 0.0038391901 0.0041305656 0.0031780065 0.002779977 0.0035063992 0.0028847987 0.0033304745 0.0036929527 0.0044945097 0.0037750509 0.0031937663 0.003097741 0.0033891161 0.002977892 0.003159681 0.0035840992 0.003997889 0.0032428787 0.0032751316 0.0032219877 0.0037684538 0.0035404847 0.0036137865 0.027179267 0.007813783 1.3568461e-05 1.1001455e-05 2.5670063e-06 2.9337214e-06 1.8335759e-06 1.2835031e-06 2.3836485e-06 2.9337214e-06 7.3343034e-07 1.1001455e-06 3.4837942e-06 3.4837942e-06 7.3343034e-07 5.5007276e-06 1.8519117e-05 0.0061052577 3.4104512e-05 1.6502183e-05 1.6318825e-05 6.7842307e-06 1.063474e-05 5.684085e-06 1.6868898e-05 2.2919698e-05 5.5007276e-06 6.4175156e-06 1.0084667e-05 4.400582e-06 7.3343035e-06 1.5585394e-05 9.937981e-05 0.007887676 4.3089032e-05 8.6911496e-05 4.5105968e-05 2.5303347e-05 2.2369626e-05 3.575473e-05 3.0804073e-05 3.7771664e-05 1.6502183e-05 1.9069188e-05 1.2651673e-05 2.3836486e-05 1.668554e-05 3.428787e-05 0.00029905624 0.00688031 3.3737797e-05 4.620611e-05 3.6121444e-05 2.3653129e-05 2.7870354e-05 2.9520572e-05 2.9153856e-05 8.5627995e-05 4.9689905e-05 2.5670062e-05 3.062072e-05 4.2722317e-05 4.1805528e-05 7.3893105e-05 0.0004292401 0.0062713795 6.307501e-05 9.167879e-06 4.418918e-05 9.534594e-06 1.3751819e-05 2.6036778e-05 4.033867e-05 7.517661e-05 0.00011129805 1.6868898e-05 5.3357056e-05 5.977457e-05 3.960524e-05 9.9929886e-05 0.0009523593 0.011757622 0.00018427438 6.344172e-05 0.00014320227 7.756026e-05 8.966186e-05 0.00010836434 9.112872e-05 0.00018299087 0.0001521868 9.5162584e-05 0.00018464109 0.00029153857 0.0006716388 0.00020719407 0.0018465943 0.011471401 0.00015108666 0.0001608046 0.00022626326 7.554333e-05 0.0001426522 0.0001270668 9.369573e-05 0.0002770533 0.00017712342 0.0002308472 0.0001366014 0.00049011485 0.00030290673 0.00045142637 0.0023836487 0.013767221 0.00022406297 0.00027173595 0.00026898558 0.0001547538 0.00024698267 0.00058692764 0.0002511999 0.0004607776 0.00024221538 0.00017198942 0.00022277946 0.00077156874 0.0019674269 0.00053192035 0.003892498 0.019245028 0.00060287974 0.00067072205 0.00037459953 0.00050386664 0.000693275 0.0016879899 0.0010143341 0.0008966186 0.00031280803 0.00025725068 0.000332794 0.00041182115 0.00084747875 0.00092668924 0.005018314 0.01045395 0.00045252652 0.0002875047 0.00032490963 0.0003269266 0.0005385212 0.00035039635 0.00037808335 0.0005909615 0.00032050905 0.00030180658 0.0006644879 0.00042979018 0.0007490157 0.0006368009 0.004222725 0.007975872 0.00049689907 0.0004374912 0.00037918348 0.00046114431 0.00039495225 0.00040448684 0.00046187776 0.0006872242 0.00034159518 0.0003181254 0.00052366924 0.00036451488 0.000945025 0.0010803429 0.0038789297 0.0040696217 0.00038321735 0.0006976756 0.00039916945 0.00047452943 0.0002200291 0.00025138326 0.0003712991 0.00048424737 0.00046096096 0.00041273792 0.00050405 0.00062781636 0.00039678582 0.0007691851 0.0033713959 0.0035804235 0.00027595318 0.0006193819 0.0004222725 0.00055318984 0.00034856278 0.00034856278 0.0004508763 0.00042337266 0.00032931022 0.00030235667 0.0004275899 0.0006180984 0.00051780185 0.0007185784 0.0028312246 0.0020248177 0.00022681334 0.00039403545 0.0006261662 0.0002853044 0.00023414764 0.00024918295 0.0003008898 0.0002935555 0.00024331552 0.00020902765 0.00025193332 0.000236898 0.00028493768 0.00031134117 0.0013379602 0.00038541763 0.0001111147 0.00013678476 0.00018574123 8.782828e-05 9.497923e-05 0.00025358354 0.00016007117 9.167879e-05 5.1156767e-05 5.5190634e-05 4.638947e-05 5.299034e-05 4.9506547e-05 5.5373992e-05 5.977457e-05 0.08288148 0.05111111 0.05452761 0.047926556 0.048545938 0.050285634 0.04465839 0.04604109 0.049970258 0.043966033 0.042287577 0.044954695 0.046934225 0.043009087 0.04821956 0.0488978 9422.0 5.923371 55810.0 0.018652571 0.010392403 0.011342053 0.0059845904 0.011485397 0.011754166 0.010087798 0.010894105 0.015714029 0.012005017 0.007973482 0.008457266 0.011969181 0.011987099 0.01049991 0.011790002 0.017075792 0.01250672 0.010607418 0.013223437 0.010679089 0.008206415 0.0070955027 0.0071313386 0.010876187 0.008958968 0.009406916 0.008815625 0.009478588 0.008063071 0.008726034 0.008582692 0.017469987 0.009836947 0.008708117 0.008063071 0.012560473 0.007973482 0.007489697 0.0072030104 0.013080093 0.010105716 0.011037448 0.008743953 0.010697008 0.007579287 0.009406916 0.008743953 0.013510124 0.013080093 0.011521232 0.009729439 0.010571582 0.014208923 0.010446156 0.009317326 0.012560473 0.009819029 0.011700412 0.011180792 0.010123634 0.00912023 0.009783193 0.010983694 0.018975094 0.012739653 0.01076868 0.009442752 0.010697008 0.009335245 0.008134743 0.008134743 0.012470883 0.010338649 0.008098907 0.008170579 0.010804515 0.008457266 0.008779788 0.009245655 0.0122200325 0.009138147 0.010714926 0.008152661 0.012829242 0.008690199 0.008690199 0.0112703815 0.00946067 0.008994804 0.010087798 0.008636445 0.009998208 0.008582692 0.010947859 0.010213223 6.550011 0.0 19.0 0.0 28.0 2728440.0 5521408.0 0.0 0.0 1.0 1.0 1.0 1.0 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 104448.0 1024.0 4096.0 8.0 1.0 0.0 5.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 51200.0 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 2038272.0 0.0 0.0 0.0 0.0 0.0 616960.0 0.0 0.0 512.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.469003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.97738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2514844 0.0 0.0 0.0 0.0 0.0 7.9306645 0.0 0.0 0.0 0.0 0.0 4.5317516 0.0 0.0 1.1430979 0.0 0.0 -4.1222277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2703360.0 0.0 0.0 0.0 0.0 0.0 2039808.0 0.0 0.0 0.0 0.0 0.0 616768.0 0.0 0.0 4096.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116.0 139360.0 616768.0 4902912.0 0.0 0.0 7672.0 2720768.0 8.0 139768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.62663925 0.012520926 0.0057896203 0.0031738281 0.004499163 0.0023716518 0.0054757255 0.0024762836 0.003941127 0.002406529 0.0061732703 0.0011160715 0.00069754466 0.0012207031 0.0011160715 0.00027901787 0.0009765625 0.00327846 0.0014648438 0.0010114397 0.00055803574 0.0004185268 0.0013253348 0.00059291295 0.00059291295 0.00062779017 0.00027901787 0.0010463169 0.00069754466 0.00048828125 0.00024414062 0.0010811941 0.009102957 0.00055803574 0.0012555803 0.00052315847 0.00052315847 0.00062779017 0.0010463169 0.00031389509 0.0026506695 0.0007672991 0.0008370536 0.00031389509 0.0013253348 0.00069754466 0.009591239 0.00038364955 0.003313337 0.0017089844 0.0014648438 0.0011509487 0.0009765625 0.00059291295 0.000453404 0.0009765625 0.0007672991 0.0007672991 0.000906808 0.00017438616 0.0006626674 0.0018833706 0.00052315847 0.00024414062 0.000453404 0.0031040737 0.00052315847 0.003313337 0.0047084265 0.0015345982 0.001813616 0.0017089844 0.00027901787 0.00226702 3.4877234e-05 0.001953125 0.0018484934 0.0013253348 0.0009765625 0.0012555803 0.0031389508 0.00027901787 0.002406529 0.0040108818 0.0024762836 0.0004185268 0.00080217636 0.0004185268 6.975447e-05 0.0001046317 0.0001046317 0.0001046317 0.0010114397 0.0001046317 0.0 0.00226702 0.00027901787 0.0138811385 0.0041155135 0.005092076 0.004499163 0.022356305 0.0017438616 0.0049176896 0.002546038 0.012486049 0.000453404 0.000906808 0.0080217635 0.007045201 0.011579241 0.012137277 0.006452288 0.00024414062 0.014264788 0.010532924 0.01702009 0.007672991 0.0011509487 0.0014648438 0.0011858259 0.0042201453 0.0009416853 0.001499721 0.0 0.0009765625 0.0001046317 0.00038364955 0.003313337 0.0002092634 3.4877234e-05 0.00013950893 0.00017438616 0.00024414062 0.00024414062 6.975447e-05 0.00069754466 0.00013950893 0.0 6.975447e-05 0.00069754466 0.00013950893 0.00013950893 6.975447e-05 0.00017438616 0.00034877233 0.0 6.975447e-05 0.0002092634 0.0001046317 3.4877234e-05 6.975447e-05 3.4877234e-05 0.0002092634 0.00013950893 0.00013950893 0.00013950893 0.00013950893 6.975447e-05 3.4877234e-05 6.975447e-05 0.00017438616 0.00038364955 3.4877234e-05 6.975447e-05 3.4877234e-05 0.0 0.0001046317 0.00013950893 6.975447e-05 6.975447e-05 0.0 0.0 0.0001046317 3.4877234e-05 0.00013950893 0.0002092634 0.0002092634 0.00013950893 3.4877234e-05 0.0001046317 6.975447e-05 0.0001046317 0.0004185268 0.00017438616 0.00024414062 3.4877234e-05 6.975447e-05 6.975447e-05 0.0001046317 0.00013950893 0.00013950893 0.0004185268 3.4877234e-05 0.0001046317 3.4877234e-05 0.00024414062 6.975447e-05 3.4877234e-05 0.0 0.00013950893 3.4877234e-05 3.4877234e-05 0.0 0.000906808 0.0002092634 0.0001046317 3.4877234e-05 0.00027901787 0.00013950893 0.0001046317 0.0 3.4877234e-05 0.0001046317 6.975447e-05 0.0 0.0001046317 0.00013950893 3.4877234e-05 0.0 3.4877234e-05 0.00013950893 0.000453404 0.0001046317 0.00017438616 0.00013950893 3.4877234e-05 3.4877234e-05 0.0001046317 3.4877234e-05 3.4877234e-05 6.975447e-05 0.00017438616 3.4877234e-05 6.975447e-05 6.975447e-05 0.0001046317 6.975447e-05 6.975447e-05 0.00013950893 3.4877234e-05 0.001499721 3.4877234e-05 0.0 0.0007324219 0.0 0.0 0.0001046317 0.000453404 0.00017438616 6.975447e-05 3.4877234e-05 3.4877234e-05 0.0 0.00048828125 0.012172154 0.2961878 0.0 0.0 3.616898e-05 0.0 3.616898e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.616898e-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 0.034704138 0.00023509839 0.0003978588 1.808449e-05 0.00028935185 0.0001808449 0.0005787037 0.00025318286 7.233796e-05 1.808449e-05 3.616898e-05 9.042245e-05 3.616898e-05 0.0 3.616898e-05 9.042245e-05 0.031846788 9.042245e-05 0.0003978588 0.00061487267 0.0005606192 0.00032552084 0.0020073785 0.0006510417 0.00021701389 5.4253473e-05 1.808449e-05 7.233796e-05 3.616898e-05 1.808449e-05 9.042245e-05 3.616898e-05 0.03000217 0.0019712094 0.0014105903 0.0006510417 7.233796e-05 7.233796e-05 0.0007776331 0.0014286748 9.042245e-05 7.233796e-05 9.042245e-05 0.0 5.4253473e-05 0.0001808449 5.4253473e-05 0.000108506945 0.058846932 0.0008318866 0.002242477 0.0013020834 0.0008318866 0.0007052951 0.005081742 0.003056279 0.00047019677 9.042245e-05 9.042245e-05 0.0001808449 9.042245e-05 0.00016276042 5.4253473e-05 3.616898e-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 0.0028935184 1.808449e-05 0.0003616898 7.233796e-05 0.0033456308 0.002242477 0.017306857 0.010796441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062120225 0.0034179688 0.00745081 0.0032190394 0.0040690103 0.0018265336 0.010850694 0.007703993 0.0018627025 0.00016276042 0.0001989294 0.00016276042 0.00074146414 0.0004159433 0.00021701389 0.0066912617 0.09910301 0.0044307 0.011031539 0.0052987556 0.011266638 0.0075050634 0.044089988 0.026186343 0.0026403356 0.0005606192 0.0003978588 0.0005967882 0.000922309 0.0004159433 0.0003616898 0.0074146413 0.054669414 0.0039966726 0.007957176 0.0059497976 0.007378472 0.0052987556 0.034939237 0.020308884 0.0011935764 0.0010127315 0.00061487267 0.0011574074 0.0005787037 0.00061487267 0.0005606192 0.001916956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 261.0 19.015326 4963.0 0.017126737 0.00020149103 0.0046342937 0.0008059641 0.0 0.00040298206 0.0 0.00020149103 0.0 0.0 0.0 0.0 0.0046342937 0.0020149103 0.020753577 0.0012089462 0.008664114 0.0032238564 0.0036268386 0.0032238564 0.0028208746 0.0024178925 0.0010074552 0.0020149103 0.0010074552 0.0022164013 0.0014104373 0.0 0.0024178925 0.006044731 0.0024178925 0.00040298206 0.00040298206 0.012089462 0.0020149103 0.013096917 0.019947613 0.0032238564 0.006246222 0.0050372756 0.0006044731 0.0098730605 0.0 0.0038283297 0.006246222 0.0038283297 0.0038283297 0.0030223655 0.008664114 0.00020149103 0.0050372756 0.016925247 0.009268587 0.0018134193 0.0030223655 0.0008059641 0.0 0.0 0.0 0.0 0.0022164013 0.0 0.0 0.010679025 0.00020149103 0.05520854 0.019141648 0.024581905 0.015917791 0.103163406 0.007858151 0.014708846 0.007253677 0.053395122 0.0006044731 0.0034253476 0.03546242 0.03526093 0.05057425 0.04654443 0.016119283 0.0006044731 0.06044731 0.04735039 0.07797703 0.03324602 0.006447713 0.007052186 0.00584324 0.020350594 0.0044328026 0.0 0.0 0.0 0.0 0.0 5.151116 0.0 0.0 0.0 1.0 28672.0 40960.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1415389600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.218001 0.0 4.088037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13044.0 0.0 2552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 21152.0 2552.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 28.0 20840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.4385246 0.01590116 0.008048636 0.0060074604 0.00802062 0.0026775422 0.0029697106 0.00272557 0.011402568 0.0032938973 0.0028496415 0.0021172196 0.007836514 0.0024854315 0.0015649014 0.004658683 0.018214492 0.0014488345 0.0009685579 0.0007164127 0.0032538741 0.0027776 0.0010446017 0.0007564357 0.002385374 0.0019251088 0.0008244749 0.0008324795 0.0018290535 0.0008244749 0.0005883389 0.00064437115 0.0039662845 0.000576332 0.0005323066 0.00092453253 0.006203573 0.0008324795 0.00042024205 0.001048604 0.0010526063 0.0005563204 0.0006964011 0.0011686732 0.0021572425 0.0009885695 0.0006964011 0.00063236424 0.0027495837 0.0016569544 0.0014768507 0.004546619 0.0027335745 0.0020131597 0.0016289382 0.0014368276 0.0027055584 0.003093782 0.0011846824 0.0037981877 0.0016729636 0.0020131597 0.0013847976 0.0014168161 0.0028216252 0.0019691342 0.0014368276 0.0015408875 0.003710137 0.0083328 0.0035500447 0.00133677 0.0017970351 0.0014008068 0.00046826972 0.0008364818 0.001704982 0.0036220863 0.0013807954 0.00080046104 0.0059594326 0.002045178 0.0010045787 0.003682121 0.0015929175 0.0028376344 0.004590644 0.0069279904 0.0016089267 0.0029537014 0.000524302 0.0014208184 0.0013007493 0.0024293994 0.002897669 0.0022613024 0.0013087539 0.0027335745 0.0008244749 0.0014088114 0.002425397 0.0060915085 0.0037141393 0.00092853484 0.0027375768 0.0022893187 0.0038862384 0.0006003458 0.0027776 0.0012447169 0.0023613602 0.0028656507 0.0019171042 0.00039222592 0.0036340933 0.002661533 0.0099857515 0.0103939865 0.0012527215 0.00079645874 0.0012647285 0.00092853484 0.00042424435 0.00045626282 0.0019451204 0.0026415216 0.0016329406 0.0011766778 0.0047867573 0.0013567815 0.000288166 0.008392834 0.0015849129 0.0048027663 0.00024814293 0.00021612449 0.0014488345 0.007052062 0.0012687307 0.020143602 0.0009885695 0.006107518 0.0005803343 0.00065237575 0.00090452103 0.0003562052 0.00021212218 0.00026815446 0.000720415 0.0005162974 0.00034820056 0.00025214523 0.0005963435 0.00046026512 0.000144083 0.0002921683 0.0005643251 0.00021212218 0.0003642098 0.00022813141 0.0006843942 0.00090452103 0.00032418672 0.0005683274 0.0005443135 0.0003722144 0.0002241291 0.00020011526 0.00085649337 0.00028016136 0.0004482582 0.00042424435 0.0005723297 0.00020411758 0.00043224898 0.00032418672 0.0015128714 0.001324763 0.0010165855 0.00061235274 0.00092853484 0.0007044057 0.0009525487 0.000852491 0.0018490651 0.00049228355 0.00040823515 0.000852491 0.0009525487 0.00078044954 0.00092853484 0.0017730213 0.0057393056 0.0027936092 0.0026415216 0.0038982453 0.0025774846 0.0003722144 0.0018410605 0.0029737127 0.0018370581 0.0022573003 0.0011366548 0.0008444864 0.0015288807 0.00050829275 0.0013888 0.0010005763 0.001664959 0.0008484887 0.0008404841 0.0009805649 0.00094054174 0.0005883389 0.0011846824 0.00090452103 0.001941118 0.0017650167 0.00064837345 0.0018490651 0.0013527792 0.0010846248 0.00063636655 0.00076844264 0.0020651896 0.00063236424 0.0005483158 0.0007004034 0.0011606686 0.00040823515 0.0005283043 0.0005403112 0.007888543 0.0018130443 0.0006083504 0.0039502755 0.003185835 0.0003001729 0.00042824668 0.00042824668 0.002505443 0.0010325948 0.00042824668 0.00078845414 0.0016969774 0.00023613601 0.0017930327 0.0016289382 0.003946273 0.0010165855 0.00087250257 0.0011286502 0.0043224897 0.0011126408 0.0018290535 0.030941822 0.28799954 2.009388e-05 1.2056327e-05 2.0093878e-06 4.0187756e-06 4.0187756e-06 0.0 0.0 2.0093878e-06 2.0093878e-06 0.0 2.0093878e-06 4.0187756e-06 0.0 4.0187756e-06 1.004694e-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 0.0038459683 1.6075102e-05 1.6075102e-05 2.009388e-05 8.037551e-06 1.4065715e-05 1.808449e-05 2.009388e-05 2.009388e-05 2.2103266e-05 1.4065715e-05 1.808449e-05 1.004694e-05 3.616898e-05 1.4065715e-05 2.2103266e-05 0.0035726917 1.2056327e-05 0.0001306102 2.0093878e-06 2.2103266e-05 2.4112655e-05 0.00021902328 0.00011051633 2.0093878e-06 0.0 2.0093878e-06 0.0 4.0187756e-06 2.0093878e-06 4.0187756e-06 8.037551e-06 0.014033564 0.00052043144 0.00020294817 0.00011051633 0.00032953962 0.00015673225 0.00019692001 0.000108506945 0.0001306102 7.032858e-05 3.817837e-05 9.444123e-05 0.00015874165 4.822531e-05 6.430041e-05 0.00019692001 0.013304157 0.0004943094 0.0002632298 0.00016476981 0.00014668531 0.00015070409 0.00011051633 8.8413064e-05 0.00015070409 0.00010046939 8.037552e-05 6.229102e-05 0.00016075103 6.6309796e-05 9.042245e-05 0.0010267972 0.04035052 0.002937725 0.0010247878 0.0012196985 0.00108306 0.00066912617 0.001093107 0.00047220616 0.0016919046 0.00022103266 0.0002833237 0.00028533308 0.00038781186 0.0006088445 0.00036972738 0.00079973636 0.002983941 0.00019290124 6.229102e-05 8.8413064e-05 8.8413064e-05 0.00010247878 8.2384904e-05 3.2150205e-05 0.00015472286 1.6075102e-05 3.2150205e-05 1.2056327e-05 1.6075102e-05 2.009388e-05 1.2056327e-05 0.00021902328 0.005340953 0.00023710777 0.00012257266 0.00017280735 0.00050636573 0.00030542695 0.0004963188 0.0002813143 0.000114535105 8.640368e-05 8.439429e-05 0.00015673225 9.8460005e-05 8.8413064e-05 7.032858e-05 6.831919e-05 0.01542607 0.0006108539 0.0008620274 0.0018888246 0.0020495756 0.0012860083 0.004408597 0.0024152843 0.00053650653 0.00021299512 0.00024112655 0.00027930492 0.0003797743 0.0006128633 0.0003174833 0.0013945152 0.009134677 0.0008499711 0.0015371817 0.0014748907 0.002170139 0.0009303466 0.004247846 0.0024675282 0.00019290124 0.00015874165 0.00022103266 0.00020093878 0.00035767103 0.00015472286 0.00013864777 0.00045412165 0.014899611 0.0024594907 0.0019872845 0.013239857 0.0028694058 0.002740805 0.0070951483 0.0041493857 0.0011795107 0.0010247878 0.0011895576 0.0012860083 0.0013704025 0.0018526556 0.0011332948 0.0032511896 0.015679253 0.0035043724 0.0009182902 0.0011513792 0.0022042985 0.002941744 0.0047361273 0.0029980068 0.0011031539 0.0011232478 0.0007957176 0.0008057645 0.0010529192 0.00087006495 0.0012558674 0.0041272826 0.04264122 0.010454845 0.006337609 0.006128633 0.012086468 0.014314879 0.0066651395 0.012618956 0.024803884 0.0011775013 0.0017361111 0.0064039193 0.011983989 0.0054996945 0.008704668 0.017742895 0.050134227 0.016621657 0.008833269 0.009612911 0.013020833 0.020206405 0.008620274 0.015542615 0.029779129 0.0018385899 0.0024735564 0.0061567645 0.017312886 0.007957176 0.012910317 0.025892971 0.00030341756 0.0001808449 0.00017280735 0.00034159594 0.00018687308 0.00035365226 0.0002833237 0.00032753023 0.00027528615 0.00039986818 0.00019491062 0.0002150045 0.00016878858 0.00025117348 0.0001808449 0.00027930492 1119.0 13.727435 15361.0 0.02610507 0.000911399 0.0012368986 0.0010415989 0.0023435974 0.001887898 0.0007160992 0.010481088 0.002538897 0.0014321984 0.0007160992 0.00097649894 0.003710696 0.007942191 0.0052730944 0.0010415989 0.016795782 0.012043486 0.011132088 0.010025389 0.014256884 0.009374389 0.009960289 0.008397891 0.010415989 0.011522687 0.0072260923 0.005598594 0.0051428946 0.010285789 0.0067703924 0.005403294 0.0052079945 0.00917909 0.008202591 0.013996485 0.011717987 0.010871688 0.0138011845 0.007291192 0.0057938937 0.012043486 0.0013019986 0.0039710957 0.007942191 0.006184493 0.004426795 0.005728794 0.012824686 0.0039710957 0.008332791 0.01855348 0.008202591 0.0050126943 0.009504589 0.049020246 0.004556995 0.0019529979 0.0010415989 0.0014321984 0.0022133975 0.00097649894 0.0019529979 0.002799297 0.0029945967 0.03710696 0.0067052925 0.016274981 0.019790377 0.07610182 0.009764989 0.010871688 0.010611288 0.02727687 0.002734197 0.0050126943 0.024803072 0.014256884 0.031117765 0.031508364 0.013280385 0.0010415989 0.046155848 0.029555367 0.049475946 0.015819283 0.008007291 0.002799297 0.0058589936 0.007095892 0.0020180978 0.0024086973 0.0016925981 0.0026690972 0.0011066988 0.0013670985 5.8742666 0.0 0.0 0.0 2.0 249856.0 262144.0 0.0 4.0 181.0 1.0 1.0 0.0 0.0 0.0 1236741400.0 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 106496.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 -61440.0 0.0 0.0 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 -106496.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7867813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5953684 0.0 0.0 -0.56027013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2713559 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.737925 0.0 5.377733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12161.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25353.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104026.0 0.0 34344.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 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 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 -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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 161.0 122592.0 180.0 118704.0 34344.0 151552.0 0.0 0.0 0.0 0.0 6716.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 756.0 110592.0 0.0 0.0 0.0 0.0