Input: 0.17021705 0.015343484 0.0060233655 0.006545401 0.008250354 0.0037745112 0.0033803876 0.0033946002 0.010883492 0.0015475223 0.0017787486 0.0020449597 0.008718274 0.0020722912 0.0016338904 0.0067274305 0.0062649776 0.0016459164 0.0011965829 0.0011080281 0.0030070362 0.0048945653 0.0017180722 0.001024393 0.0027588643 0.0033382967 0.00076583494 0.0017650827 0.0020766645 0.0008964806 0.0008112056 0.0010878026 0.0050241174 0.00090249354 0.0013529203 0.00095989014 0.0029124685 0.00088554784 0.0007149979 0.00074287626 0.0018241192 0.0007576354 0.00093747815 0.0029807978 0.0016322506 0.001166518 0.00089757383 0.0005023571 0.0021094624 0.00068001327 0.00082541804 0.0070581445 0.0013764256 0.0009358382 0.00075654214 0.00070023874 0.001534403 0.0032163973 0.0006723604 0.0026960012 0.0013889982 0.0011255204 0.00067290704 0.0010473516 0.0070548644 0.005375057 0.0024379897 0.0032836334 0.002421044 0.016389742 0.0031201895 0.002589954 0.002190911 0.0021613927 0.002530371 0.00130263 0.0015453356 0.008796442 0.00203676 0.001426716 0.012333167 0.0044321124 0.0017689092 0.0040237764 0.0023740334 0.0057910457 0.0134417415 0.0055210083 0.0021772452 0.005358658 0.0020291072 0.0042478964 0.0025850344 0.005336792 0.0036121607 0.002823367 0.0015196438 0.0017623496 0.0007833272 0.0017186188 0.0023920725 0.003234983 0.0017180722 0.00082541804 0.0051001 0.0015825068 0.0076802145 0.0007909801 0.0021067292 0.0009905017 0.0014988717 0.0017656294 0.002971505 0.0006925859 0.0020012287 0.0022379216 0.012096475 0.015293193 0.0019175938 0.0015436958 0.0019350861 0.0010282195 0.0007559955 0.0007139046 0.0014283559 0.004284521 0.0016377169 0.0010878026 0.0023308494 0.0018476245 0.0005674066 0.011735695 0.003182506 0.012331528 0.002030747 0.0015262035 0.0017590697 0.0151702 0.00080519257 0.046632294 0.0012873242 0.017147377 0.001845438 0.0011189608 0.003946701 0.000599658 0.0012343007 0.0012670987 0.0015420559 0.00220731 0.0013720526 0.0013966511 0.001987563 0.0009560637 0.0004154422 0.00048705132 0.0011730776 0.0014059439 0.0008970272 0.0008937474 0.0028900565 0.0018088135 0.000611684 0.00083799066 0.0013348814 0.004444685 0.0005258624 0.00043840086 0.0015540818 0.00085657625 0.00061769696 0.0004170821 0.0017087794 0.0004170821 0.00043348115 0.00050673017 0.0017082328 0.00051274314 0.00044769363 0.0010211132 0.0013403477 0.0012069689 0.0012479665 0.0013791588 0.003402253 0.00081721856 0.0005187561 0.0010342324 0.0014485813 0.0008062859 0.0015169107 0.0007505291 0.010687251 0.00277581 0.004601022 0.0035055669 0.0023483417 0.0013436276 0.0032027315 0.0030649796 0.0043359045 0.0025713686 0.0008500166 0.002473521 0.0048683267 0.00081667193 0.0033989733 0.0023980855 0.0022668932 0.0009883151 0.0010910825 0.0006925859 0.0024751609 0.0004170821 0.0010981887 0.000758182 0.0030923113 0.0014217963 0.0012348472 0.0019175938 0.002446736 0.0016327972 0.000747796 0.0006718138 0.0033951467 0.0010380589 0.0005285955 0.00064502866 0.00260526 0.0016819943 0.000827058 0.00049197103 0.025400463 0.0039144494 0.0013272285 0.0053274995 0.007928933 0.0006040311 0.00077020796 0.0014485813 0.0063272943 0.0025003061 0.0014338222 0.0014633405 0.0033262707 0.0010391522 0.0037111016 0.0024128447 0.0050492627 0.002101263 0.0019044746 0.0019301664 0.00899979 0.0025396638 0.003877825 0.06828995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008903952 2.9816614e-05 2.1063113e-05 1.0941877e-05 2.5986958e-05 2.571341e-05 2.8722427e-05 1.5865722e-05 9.847689e-06 4.376751e-06 1.1215424e-05 7.11222e-06 9.5741425e-06 6.565126e-06 9.5741425e-06 1.3677346e-05 0.0011300223 1.8601191e-05 7.139575e-05 4.3767508e-05 0.00032032345 0.00018354999 0.00031211704 0.00013704701 2.7354693e-06 2.7354693e-07 5.7444854e-06 5.4709386e-07 1.3677346e-06 4.103204e-06 1.9148285e-06 7.385767e-06 0.02357099 0.00069234724 0.0009995404 0.00027299984 0.0006652661 0.002486268 0.0009150144 0.0006425617 0.0001917564 0.00060235034 0.00024044774 0.00023333552 0.00039910496 0.00034193366 0.00033783045 0.003262594 0.014018732 0.00035451681 0.00044752276 0.0003602613 0.0011732427 0.0024550837 0.0011989562 0.0006400998 0.00015263919 0.00018272935 0.0001906622 0.0002798385 0.0005520177 0.00054052874 0.00026151087 0.0012812938 0.0059780944 0.00042481837 0.00030144872 0.00022731749 0.0017539829 0.0013236935 0.0030092897 0.0015258447 0.00011981355 0.00015373337 0.00011789872 0.00010941877 0.00011735163 0.000120360644 0.0001474418 0.00025576638 0.009279532 0.0009667148 0.00075280113 0.000650221 0.0035541952 0.002014126 0.002995886 0.001752068 0.000527672 0.00031731444 0.0005087973 0.00020543374 0.00028312107 0.00029351586 0.00061083026 0.0010580795 0.011446845 0.0010736716 0.0007404915 0.0005635067 0.004103204 0.0015789128 0.0018166251 0.0010602679 0.00043001576 0.0005364255 0.0005085237 0.00043329832 0.000559677 0.0006428353 0.0008966868 0.0010599943 0.021219581 0.002925858 0.0019126401 0.0017000941 0.010419128 0.003928407 0.003798746 0.0025415244 0.0051098564 0.0017821582 0.0017088476 0.0016612505 0.0025587578 0.0022244835 0.003531217 0.010288374 0.07878972 0.010274696 0.007269783 0.010014279 0.018093213 0.027057894 0.00907191 0.017430957 0.052076768 0.0076713497 0.005447687 0.0075485273 0.020924972 0.0069054184 0.022776885 0.046545103 0.085052304 0.017302664 0.011382287 0.012719932 0.024339657 0.036606323 0.01211977 0.025703836 0.062461156 0.010304786 0.010343356 0.0085264575 0.02756587 0.011686471 0.029145056 0.052835315 0.0006338082 0.00030281645 0.00029871325 0.00024564515 0.00025549284 0.00025193673 0.0002128195 0.00020379246 0.00032552084 0.00023579744 0.00032798277 0.00016057205 0.00030336354 0.00019804797 0.0002546722 0.00027081146 3617.0 13.622616 49273.0 0.012725022 0.0006494429 0.0009944595 0.00056826253 0.0043431493 0.0022933453 0.000446492 0.0014206563 0.0019077385 0.00073062326 0.00052767235 0.0016033122 0.0016236072 0.00093357416 0.011365251 0.00048708217 0.0064538387 0.0021106894 0.0041807885 0.0019483287 0.0012380006 0.00075091835 0.00046678708 0.0029427882 0.0011365251 0.005195543 0.0014003613 0.0020903943 0.0016844926 0.0006900331 0.00077121344 0.0105534475 0.025977716 0.026850404 0.018610599 0.036490574 0.013760071 0.016682565 0.019402107 0.008808069 0.004850527 0.017332008 0.0005885576 0.0019483287 0.010370791 0.017129056 0.010289611 0.014693646 0.023379944 0.005418789 0.014145678 0.018630894 0.019544173 0.007407708 0.018224992 0.012704726 0.004038723 0.0024151157 0.001339476 0.0019280337 0.0039372477 0.0025571815 0.0034501655 0.021979583 0.0016033122 0.03795182 0.009376332 0.018915024 0.018630894 0.06183914 0.0057232156 0.009761939 0.01124348 0.03186329 0.005337609 0.0048099365 0.02782457 0.012258234 0.031396504 0.04337061 0.012988858 0.000669738 0.038905688 0.022750797 0.05506058 0.017575549 0.0043431493 0.004911412 0.0074685933 0.006981511 0.0014612465 0.00054796744 0.00093357416 0.00048708217 0.0010553447 0.0008320987 5.737512 1.0 0.0 0.0 7.0 1829376.0 1945600.0 1.0 0.0 594.0 0.0 1.0 0.0 1.0 0.0 1479739000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1471488.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 324096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472512.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2143264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.710152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.6390505 0.0 5.4184713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 323690.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1471968.0 0.0 8752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 -1.0 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 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -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 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 -1.0 0.0 2.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -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 -3.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 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 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 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -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 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 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -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 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 2.0 -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 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -2.0 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 -1.0 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 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1789128.0 8752.0 1933312.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1688816.0 0.0 0.0 0.0 0.0 24.0 1688996.0 64.0 1688904.0 0.0 0.0 2436.0 1478656.0 0.0 0.0 0.0 0.0


Input: 0.642291 0.0016652044 0.0015288639 0.0016124098 0.0017179989 0.0015141686 0.0014681774 0.0014279012 0.0015544448 0.0014053138 0.0013740181 0.0013740181 0.0014368817 0.0013971498 0.0014330718 0.0014474951 0.0014347046 0.0013255778 0.0013732017 0.0013859922 0.001421642 0.0013650376 0.0013255778 0.001429534 0.0013827265 0.0013661261 0.0013843593 0.0013938841 0.001369936 0.0013821822 0.0013761952 0.001391707 0.0016537746 0.0013555129 0.0014289897 0.0013824544 0.001429534 0.0013606835 0.0013827265 0.0014009597 0.0013993268 0.0013541521 0.001334014 0.0013903463 0.0013185022 0.0013386403 0.0014534821 0.0013661261 0.0013527914 0.0013266663 0.0013824544 0.001437426 0.0014025925 0.0013868086 0.0013878971 0.0013808216 0.0013642212 0.0013533358 0.0013783723 0.0013623163 0.00135388 0.0013753788 0.0013655819 0.0013631326 0.0014806957 0.001379733 0.0013234008 0.001367759 0.001427357 0.0015664188 0.0014074909 0.0013865364 0.0013258499 0.0013386403 0.0013767395 0.0017563702 0.0017590915 0.0015860127 0.001415655 0.0013631326 0.0014191929 0.0013623163 0.0013443553 0.0014028646 0.0013979662 0.0019457773 0.0017824953 0.0014464065 0.0013680311 0.0014488557 0.0013993268 0.0013364633 0.0013612277 0.0013612277 0.0013533358 0.00135769 0.0013566014 0.0014181043 0.0016741849 0.0013849036 0.0013402732 0.0014240913 0.0013666705 0.0013843593 0.0013416338 0.0014240913 0.0014137501 0.0013546965 0.0013993268 0.0013130595 0.0014159272 0.0013642212 0.0014113009 0.0013228564 0.0014330718 0.0014341604 0.0015392051 0.00138572 0.0013372797 0.0013234008 0.0013236728 0.0013013576 0.0013258499 0.0013174138 0.00135388 0.0013957891 0.0013394568 0.0013087053 0.0013914349 0.0013443553 0.0012910165 0.0014575641 0.0013285714 0.001369664 0.001367759 0.0013201351 0.001351975 0.0015533562 0.001373746 0.0016714635 0.0013495259 0.0014240913 0.001345716 0.001312243 0.0013432667 0.0013484373 0.0012989084 0.0017038478 0.0013503423 0.0013370075 0.0013555129 0.0013378239 0.0013258499 0.0013655819 0.0013726575 0.0013990547 0.0013767395 0.0013555129 0.001306256 0.0013614999 0.0013380961 0.0013410896 0.0014638233 0.001365854 0.0013487095 0.001347893 0.0013497979 0.0021207612 0.0014826007 0.0013729295 0.0013443553 0.0014031368 0.0013481651 0.0012929214 0.0013416338 0.0013606835 0.0013291156 0.0013152366 0.0012833966 0.001310066 0.0013364633 0.0013225843 0.0013625884 0.0013010855 0.0013585064 0.0013293878 0.0013302041 0.0012812195 0.0013492537 0.0013342862 0.0013174138 0.0013462602 0.0014251799 0.0013900741 0.0013389125 0.0013285714 0.0013495259 0.0013073446 0.0014015039 0.0013810936 0.0013685754 0.001312243 0.0013364633 0.0013076168 0.0014344325 0.0013609555 0.0023460903 0.0015745829 0.0013794609 0.0013748346 0.0013476209 0.0014259962 0.0013631326 0.0013106103 0.0013454438 0.0014058581 0.0013345584 0.001317958 0.0013353748 0.0013127874 0.0013236728 0.0013530636 0.0017196317 0.0013247614 0.0013941563 0.0013593228 0.0013438109 0.0013465324 0.001359867 0.0013293878 0.0013291156 0.0013647655 0.0014349767 0.0013993268 0.0013348304 0.0013511586 0.0013530636 0.0013593228 0.0013136038 0.0013427224 0.0014232749 0.0013209515 0.0013274828 0.0013683033 0.0013906185 0.0013315649 0.0013097939 0.0013666705 0.001393612 0.0013375519 0.0013476209 0.0012817638 0.0013998711 0.001312243 0.0013356468 0.0034218468 0.0019475438 0.0 2.5863797e-06 0.0 4.0837574e-07 0.0 0.0 0.0 1.3612524e-07 0.0 4.0837574e-07 0.0 0.0 2.7225047e-07 1.3612524e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005171398 6.9423872e-06 6.125636e-06 4.0837574e-07 6.3978864e-06 1.9057534e-06 2.3141292e-06 4.0837574e-07 6.8062623e-06 4.0837574e-07 1.2251272e-06 4.0837574e-07 2.7225049e-06 9.528767e-07 1.4973776e-06 1.9057534e-06 0.000493454 4.6282585e-06 2.7225049e-06 1.3612524e-06 8.439765e-06 2.7225049e-06 1.9057534e-06 2.4502544e-06 5.4450097e-06 2.4502544e-06 1.1842896e-05 1.7696282e-06 4.083757e-06 3.267006e-06 1.9057534e-06 9.120391e-06 0.00047480484 2.9947553e-06 1.6335029e-05 4.2198826e-06 8.30364e-06 2.1780038e-06 1.9329784e-05 5.3088847e-06 8.167515e-07 1.9057534e-06 8.167514e-06 2.85863e-06 2.5863797e-06 1.3612524e-06 1.3612524e-06 5.036634e-06 0.0002237899 7.895264e-06 3.267006e-06 3.267006e-06 8.439765e-06 2.0418786e-06 3.947632e-06 4.7643834e-06 3.947632e-06 1.0890019e-06 7.895264e-06 2.0418786e-06 1.633503e-06 5.4450095e-07 2.7225047e-07 3.947632e-06 0.0023075952 4.3423952e-05 6.1120234e-05 4.6282585e-05 4.6010333e-05 4.0020823e-05 5.7989353e-05 5.1455343e-05 5.091084e-05 4.9413462e-05 4.696321e-05 4.2334952e-05 4.383233e-05 4.383233e-05 4.3015578e-05 9.242904e-05 0.45728022 0.01152028 0.011535525 0.011469913 0.011540698 0.011532667 0.0114458185 0.01161053 0.011509254 0.011559756 0.011592289 0.011564111 0.011524499 0.011520144 0.011494143 0.011631902 0.1761394 0.005220267 0.0054055336 0.005249262 0.0051739844 0.00522966 0.0054361615 0.0053043924 0.005219586 0.0051402254 0.005255932 0.0051818797 0.005237827 0.005133147 0.0052208113 0.0052609686 0.017233592 0.00061297195 0.00063938025 0.0005990872 0.00066823885 0.0006357049 0.0008072227 0.0006745006 0.00061746413 0.0005985427 0.0006014013 0.0005994956 0.0006203227 0.00060194585 0.0006003123 0.0006531289 0.00042253276 4.982184e-05 3.8115068e-05 2.3549666e-05 2.0827163e-05 2.7497299e-05 2.3005166e-05 1.6198905e-05 2.518317e-05 9.801018e-06 1.1298395e-05 6.8062623e-06 1.660728e-05 1.0481644e-05 1.8785284e-05 0.00011584258 0.0004854226 6.4251115e-05 7.6910765e-05 6.4251115e-05 0.00018186333 0.0001633503 0.00019288946 3.4984187e-05 2.1235539e-05 0.00016076391 0.0001547744 1.5926653e-05 0.00029797817 0.00015572728 1.8376908e-05 0.00014157026 0.0008245106 0.000103999686 0.00010046043 8.766466e-05 0.00019111985 0.00015341314 0.00011230333 6.397886e-05 0.00011979022 8.8889785e-05 8.8209155e-05 4.20627e-05 0.0001682508 8.957041e-05 6.411499e-05 0.00021072188 0.0015687073 0.00052557955 0.000549946 0.00047371586 0.00064237503 0.00048406137 0.00028858552 0.0002751091 0.00058152707 0.00021535014 0.00023699405 0.00013694199 0.00037339155 0.00023195741 0.00024162231 0.0012588863 0.0011973577 0.00040510873 0.00038727632 0.00037271093 0.0010272011 0.0010005205 0.00032847023 0.00038346482 0.00064305565 0.00027265886 0.0008212436 0.0002507427 0.00087814394 0.0003487529 0.00034698326 0.0008149818 0.0036209314 0.0035451096 0.0035252355 0.0035803663 0.0036424394 0.0037784283 0.0036327743 0.0034216442 0.0034549949 0.003843088 0.0037913602 0.003365016 0.003798575 0.0038405014 0.0036698005 0.003476911 1128.0 6.856383 7734.0 0.012800621 0.0065942593 0.00969744 0.0074993535 0.008404448 0.004654771 0.005171968 0.0076286527 0.007887251 0.009180243 0.007887251 0.0067235585 0.005171968 0.0068528573 0.009438842 0.012542022 0.0073700543 0.008792345 0.0069821565 0.008275148 0.0062063616 0.007240755 0.007240755 0.006335661 0.0073700543 0.0056891646 0.008792345 0.0056891646 0.010214637 0.009309542 0.010861132 0.0074993535 0.00801655 0.018101888 0.008404448 0.010602534 0.02236876 0.0109904315 0.012154125 0.01784329 0.009050944 0.017326092 0.008792345 0.009826739 0.014222912 0.010085338 0.019782778 0.009568141 0.018101888 0.007111456 0.008792345 0.014093612 0.010602534 0.008792345 0.013576415 0.01292992 0.01448151 0.009438842 0.008275148 0.005042669 0.007240755 0.007757952 0.006335661 0.0073700543 0.007240755 0.018489785 0.009050944 0.014998707 0.010343936 0.029997414 0.0069821565 0.00969744 0.0062063616 0.020946471 0.007887251 0.00969744 0.017326092 0.014093612 0.020041376 0.021205068 0.01124903 0.009438842 0.018877683 0.01292992 0.02585984 0.011766227 0.0074993535 0.0076286527 0.0076286527 0.009180243 0.007111456 0.004654771 0.005947763 0.0055598654 0.006335661 0.005042669 6.444931 0.0 0.0 0.0 11.0 3674624.0 10072064.0 0.0 0.0 71.0 0.0 1.0 0.0 0.0 0.0 1435615200.0 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 1.0 12.0 0.0 5.0 10.0 5.0 1.0 26624.0 1024.0 4096.0 6.0 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 2013184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1377792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 -2560.0 240640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3088439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.512081 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.74301445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4262233 -5.366608 7.8110695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2012904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1377616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6394396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26502.0 -2062.0 240176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 6431020.0 240176.0 9830400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 6430720.0 0.0 0.0 0.0 0.0


Input: 0.06504161 0.0019974136 0.0016907153 0.0014626293 0.002157406 0.0007180281 0.00069754466 0.001608228 0.0035447448 0.00063111185 0.0011791826 0.0006543633 0.0023090942 0.00072134973 0.0008088196 0.0010352448 0.0039378055 0.001289904 0.0011282507 0.0010535138 0.0009206482 0.004942602 0.00060121703 0.00047499468 0.00092175545 0.00044067105 0.0006300046 0.0006377551 0.0007169209 0.0005159616 0.00057685835 0.0007119384 0.004117174 0.0004423319 0.0005004606 0.00080328353 0.00089019985 0.00068093644 0.0004356886 0.00076342386 0.0014033933 0.0005004606 0.002066061 0.00047056584 0.0012046485 0.0006953302 0.00067152514 0.00052592653 0.00087082357 0.000644952 0.0006377551 0.0005945738 0.0015467776 0.00059512735 0.00053810584 0.00046502976 0.0009389172 0.000404133 0.000561911 0.0005785192 0.00071913534 0.0007839073 0.0005159616 0.0007966403 0.005966221 0.0024391918 0.00126167 0.0012295608 0.0011398765 0.0035607994 0.0009344884 0.00073795795 0.0010330305 0.0008221062 0.00087635964 0.0006532561 0.0011066601 0.0036798248 0.0010512994 0.000888539 0.005128614 0.0032917464 0.0031489157 0.0014211088 0.0021435658 0.0040009166 0.0015705826 0.002099831 0.0011431981 0.00084258965 0.0008597514 0.0013142626 0.0008724844 0.0016641422 0.00059346657 0.0010917127 0.00084867934 0.0016918225 0.0019298735 0.0011426446 0.0016945906 0.0022980222 0.001502489 0.0006416303 0.0029053288 0.0014975065 0.0022974685 0.00069975905 0.0013336389 0.000997046 0.0014017326 0.0015512065 0.0016060135 0.00077228155 0.0016370155 0.0010225119 0.0021823181 0.0011869331 0.0016359083 0.0021197607 0.0010501922 0.00076010224 0.0004960318 0.00043070613 0.000694223 0.0016026918 0.0005751975 0.0011852722 0.0021557452 0.0006122892 0.0004672442 0.002324595 0.0006189325 0.004664691 0.00047333387 0.0007346363 0.0012173814 0.0072118365 0.0020594175 0.009757321 0.00064273755 0.006825419 0.00055471406 0.0012345433 0.0019520178 0.00056800066 0.00061782525 0.0004677978 0.00072854664 0.0023816167 0.00052039046 0.00048219156 0.0007113848 0.000419634 0.00048772764 0.00046392254 0.0006670963 0.0005021214 0.0010463169 0.0005663398 0.0009782233 0.0008597514 0.00045395762 0.0006156108 0.0009859739 0.0005320162 0.000549178 0.00063277263 0.0011299116 0.00069034775 0.00097158004 0.0017538265 0.0008464649 0.00059291295 0.0013906604 0.00057962636 0.0008597514 0.0016563918 0.00052869454 0.00044067105 0.0009549718 0.00064661284 0.0006161644 0.0006316654 0.0016015846 0.0008276423 0.00063443347 0.0013901069 0.00093061314 0.00091179047 0.00045894008 0.0006920086 0.0014343953 0.00044067105 0.00044952877 0.00068093644 0.0016491949 0.0019370704 0.00047388748 0.0023694374 0.0007922114 0.00044177828 0.00041797318 0.0005059967 0.0011470735 0.00037423824 0.00035209395 0.000388632 0.0012046485 0.0005320162 0.00054585637 0.0008697164 0.0012965472 0.00054198114 0.0011177323 0.00087691325 0.0019226766 0.00044067105 0.00052205124 0.0014249841 0.0013463718 0.00053810584 0.00043125974 0.00054530276 0.00090846885 0.00042240202 0.0016480876 0.00045008239 0.0008619659 0.0005630182 0.00053644506 0.0003620589 0.0011254827 0.00066211383 0.00055360683 0.00094666774 0.0027193169 0.00049658533 0.089926235 0.006771719 0.00392618 0.004033026 0.0024308877 0.002152977 0.0029927986 0.0021020453 0.001896657 0.0025072854 0.0024236909 0.0014952922 0.0019138189 0.0015960486 0.0026534377 0.0032662805 0.003803279 0.5072772 0.0028925748 0.0 0.0011233515 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00010136752 0.04069269 0.000115492505 3.0465649e-06 0.0005265018 1.3848022e-06 2.7696044e-07 0.0 3.3235253e-06 1.1078417e-06 2.7696044e-07 0.0 0.0 0.0 0.0 2.7696044e-07 0.006139105 0.06921601 0.0008918126 1.1078417e-06 5.5392087e-07 2.2156835e-06 2.7696044e-07 0.0 0.0 1.911027e-05 1.246322e-05 0.0 0.0 0.0 2.2156835e-06 0.0 0.047297087 0.26714468 0.00083974405 1.301714e-05 9.970576e-06 1.301714e-05 1.3848022e-05 1.0247536e-05 1.9941152e-05 7.83798e-05 4.1821026e-05 2.7696044e-06 2.492644e-06 5.262248e-06 5.262248e-06 2.492644e-06 0.04131031 0.11361554 0.0010028738 5.539209e-06 8.308813e-06 1.7448507e-05 8.862734e-06 8.031852e-06 3.212741e-05 9.111998e-05 5.6499928e-05 2.7696044e-07 0.0 2.492644e-06 8.862734e-06 2.7696044e-06 0.001035555 0.0022569506 0.0011942534 2.4649478e-05 1.4124982e-05 2.1602915e-05 5.4561206e-05 3.738966e-05 3.2404372e-05 0.0002822227 0.00010413712 5.262248e-06 3.3235253e-06 1.883331e-05 1.6617627e-06 1.1078417e-06 2.2156835e-06 0.0016055397 0.004340801 8.585773e-05 0.00040685487 0.00013294102 0.00035506327 0.00020993601 0.00027889916 0.0011936994 0.00066692074 1.3294101e-05 2.2987717e-05 5.4007287e-05 2.5757321e-05 1.3294101e-05 1.7171547e-05 0.0046612443 0.010011289 0.00020522768 0.00037749708 0.00014734296 0.0012269347 0.00048384987 0.0020074092 0.0022591662 0.0008203568 2.0495072e-05 2.1048992e-05 6.619354e-05 3.6558777e-05 2.492644e-05 3.794358e-05 0.002673499 0.013167253 0.00023347765 0.0012662631 0.00034620054 0.0021276101 0.0010560502 0.003578052 0.001742635 7.450236e-05 5.5115128e-05 5.7884732e-05 4.2374948e-05 5.677689e-05 3.683574e-05 4.0990144e-05 0.0010754374 0.004235833 0.00012906357 0.00039245293 0.00028443837 0.00062260707 0.00055087433 0.0010809766 0.0005716463 0.0001008136 5.622297e-05 7.394844e-05 8.5580774e-05 4.9298957e-05 4.7360234e-05 8.613469e-05 0.00014097286 0.0062257936 0.0002534188 0.00049188174 0.0002863771 0.0010474643 0.00073256035 0.0015842137 0.00082755776 0.00023624726 0.0001553748 0.00013321797 0.00016839194 0.00013875718 0.00011493858 0.00016645322 0.00048329597 0.005878208 0.00074945495 0.0007065261 0.0004320583 0.0012033931 0.0012803881 0.0011020256 0.00061568303 0.0022901858 0.00050517585 0.00027723738 0.00032515154 0.0004193181 0.0003514628 0.00040630097 0.0033099542 0.0060646026 0.0017390345 0.00019193358 0.0003304138 0.0018401252 0.0019575565 0.0009596679 0.00058687915 0.0077119633 0.001176251 0.00035783288 0.00063811685 0.0010604815 0.00055253605 0.00094138854 0.009058545 0.013236216 0.0048038787 0.0017135543 0.0014601354 0.00731314 0.007837149 0.0037807869 0.0015855985 0.014345997 0.0024311587 0.0011751432 0.0020489532 0.002703134 0.002506215 0.0020985291 0.016042657 0.00714918 0.003002528 0.0009627145 0.0010103517 0.004477619 0.005542532 0.002219561 0.0013432581 0.0068514473 0.0014883854 0.00093834195 0.0011826211 0.0019356764 0.0021159777 0.0016324049 0.0052262433 0.008546722 0.008254529 0.007983108 0.0067077046 0.0070993267 0.011494689 0.007757939 0.007764863 0.008262837 0.006679455 0.010506217 0.00914828 0.0074170004 0.008394117 0.0077022696 0.009576461 2976.0 9.589046 28537.0 0.1632267 0.002487998 0.0018221957 0.014752777 0.0036093493 0.0019974068 0.0008760556 0.0031888424 0.009321232 0.002803378 0.0032238849 0.0016119424 0.004310194 0.0038196025 0.008059712 0.0039948137 0.0038896871 0.006202474 0.0050110384 0.0027683359 0.011774188 0.003539265 0.003258927 0.0025931248 0.0027332937 0.0031888424 0.005606756 0.0013666468 0.0039247293 0.0025580826 0.0036093493 0.0024179136 0.0027683359 0.013946806 0.00441532 0.010337457 0.0146476505 0.006237516 0.006237516 0.0031888424 0.0044503626 0.0064477697 0.002803378 0.002663209 0.0071135717 0.007183656 0.006342643 0.0050811227 0.009146021 0.0024529558 0.0059571783 0.015348495 0.020394575 0.0048358273 0.0101622455 0.0039247293 0.004029856 0.0023828715 0.0030486737 0.002803378 0.0032238849 0.00220766 0.0019623647 0.02109542 0.0025931248 0.03490206 0.015208326 0.019553563 0.013281004 0.032308932 0.007989627 0.0072186985 0.036654167 0.018677507 0.032869607 0.0044503626 0.015348495 0.010687879 0.01811683 0.021060377 0.0146476505 0.004064898 0.025370572 0.016820269 0.025931247 0.007744332 0.013210919 0.04250622 0.007884501 0.0063076005 0.002032449 0.002628167 0.0012965624 0.023092827 0.001857238 0.0032939692 5.6594753 8.0 10.0 0.0 5.0 1806336.0 1822720.0 0.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1413298400.0 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 1794048.0 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 -1794048.0 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 -4.141562 0.0 3.0898979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1793780.0 0.0 2360.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 -1.0 0.0 0.0 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 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 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 3.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 0.0 0.0 40.0 1794420.0 2360.0 1818624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 860.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05684691 0.008310016 0.006184995 0.005660491 0.005762276 0.0049698073 0.004196034 0.005423685 0.0050518583 0.0056366026 0.003747349 0.0044608824 0.0049469573 0.0031729909 0.0043258616 0.004642641 0.0050435495 0.0037618896 0.004934494 0.004156566 0.0043559815 0.0031771453 0.0041160597 0.0038418635 0.0050799013 0.0033381318 0.0031677978 0.0029330691 0.004149296 0.0034409554 0.0037888938 0.0037940869 0.0061725318 0.0038138207 0.0034814617 0.003018236 0.0048898333 0.004164875 0.0038418635 0.0037203447 0.0047278083 0.0038948334 0.0033319 0.003095094 0.004370522 0.0037161903 0.0037234607 0.0035894783 0.005522354 0.003959228 0.0031023645 0.0028946402 0.0036725681 0.0030722446 0.002688993 0.0028634814 0.004181493 0.003318398 0.003521968 0.0033422862 0.00400285 0.0032186902 0.0035063885 0.003463805 0.0066056373 0.0039529963 0.0036175211 0.0032207675 0.004151373 0.0032155744 0.003540663 0.00306809 0.0050071976 0.003774353 0.0037037267 0.003585324 0.004131639 0.0031293686 0.0035541651 0.003466921 0.0051806476 0.0036299846 0.0036517957 0.0033329388 0.0039270306 0.003378638 0.0033589043 0.00353547 0.0046447185 0.0036517957 0.0038086276 0.0035084658 0.0041056736 0.0033879855 0.0036912633 0.0037868165 0.0059180693 0.0036299846 0.0033474793 0.0029517643 0.0040121977 0.0030535492 0.0032612737 0.0030306997 0.004976039 0.0031657205 0.0032031108 0.0030504335 0.0035790922 0.0028333613 0.0030836693 0.0031885703 0.0045024273 0.0032872392 0.0032218061 0.0031407936 0.003892756 0.0033319 0.0032872392 0.0036268688 0.004627062 0.0032903552 0.003480423 0.0031709136 0.004039202 0.0031937633 0.003466921 0.0033391705 0.008661071 0.004600058 0.0040205065 0.0035261223 0.0043757153 0.0034378394 0.003013043 0.003386947 0.004538779 0.0038294 0.0029517643 0.0031896087 0.0037244991 0.0027980483 0.0028416703 0.002979807 0.0052419263 0.0032041494 0.0034908091 0.003026545 0.0036652978 0.0031854543 0.00330178 0.003263351 0.0045450106 0.0028354386 0.0030390085 0.002699379 0.0035146975 0.0032290765 0.0029860388 0.003150141 0.005006159 0.003403565 0.0032695828 0.002787662 0.003774353 0.003013043 0.0030504335 0.0031854543 0.004139948 0.0029922705 0.003126253 0.003013043 0.0036466026 0.0028385546 0.0029091807 0.0030421244 0.0046696453 0.0031158666 0.0038429021 0.0028489407 0.0035614355 0.0031542957 0.0029912319 0.0031252143 0.0042510806 0.003139755 0.0033277455 0.0031646818 0.003650757 0.003186493 0.0033246297 0.0033495566 0.006730272 0.00406309 0.0037203447 0.0033339772 0.0041150213 0.0032488103 0.00330178 0.0032311536 0.0043341704 0.0033256684 0.0031106735 0.003081592 0.003642448 0.0029850001 0.0030753603 0.002801164 0.0042510806 0.0032695828 0.0030826307 0.0029922705 0.0037151517 0.003016159 0.0029351464 0.0029455326 0.0039820774 0.003106519 0.0027294992 0.0026329074 0.003530277 0.002944494 0.003582208 0.0028821765 0.004951112 0.0032363469 0.003386947 0.0029756527 0.0038117436 0.0030649742 0.0031958406 0.002900872 0.004438033 0.005460037 0.0034679596 0.0031324846 0.003782662 0.003071206 0.0032353082 0.0031854543 0.0046145986 0.003320475 0.0034160283 0.0030338154 0.0037452716 0.0030857467 0.0033090503 0.0032436172 0.004359097 0.003031738 0.0031875316 0.0028603657 0.004011159 0.0030878237 0.004221999 0.004528393 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045962916 0.00029380075 0.0002719607 0.0002714407 0.00030056076 0.00024128062 0.00033280085 0.0003083608 0.00033228085 0.0003520409 0.00032916083 0.0003525609 0.00052260136 0.0001539204 0.00018460047 0.0007410019 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.09929633 0.06202316 0.062433958 0.055317223 0.060602516 0.05955991 0.0549475 0.054459218 0.060461596 0.053153496 0.052101534 0.052909095 0.056414943 0.05051189 0.056609426 0.053820137 4016.0 5.7036853 22906.0 0.01711342 0.010433948 0.009386187 0.008600366 0.013489915 0.0124858115 0.011743648 0.011525365 0.012573125 0.009735441 0.008469396 0.008600366 0.013882825 0.010521261 0.011874618 0.009953724 0.016807823 0.011961931 0.00868768 0.00750895 0.009822754 0.008469396 0.007814546 0.008382083 0.010302978 0.008513053 0.009604471 0.00881865 0.011569021 0.008993277 0.009735441 0.009211561 0.018073868 0.010914171 0.010346634 0.009167904 0.010870514 0.008862306 0.010652231 0.008382083 0.014275735 0.011612678 0.0097790975 0.008993277 0.011438051 0.009386187 0.011656335 0.009604471 0.014799615 0.009604471 0.009953724 0.008993277 0.012049245 0.009386187 0.009560814 0.0097790975 0.013708198 0.009211561 0.010608574 0.009517157 0.0111324545 0.009822754 0.010390291 0.010695888 0.017986555 0.0110014845 0.009735441 0.0081637995 0.013097005 0.008251113 0.009386187 0.008338426 0.015454466 0.009298874 0.008905963 0.00868768 0.011350738 0.007945516 0.009910068 0.0079018595 0.013184318 0.0080328295 0.008731336 0.008731336 0.011438051 0.009429844 0.008207456 0.007858203 0.010914171 0.00881865 0.011874618 0.00855671 0.0112634245 0.008993277 0.009997381 0.008731336 6.554459 0.0 0.0 0.0 14.0 962814.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14309604 0.008670293 0.0042052544 0.0034396409 0.0062697884 0.0039667026 0.0020383056 0.0019696127 0.007919666 0.0015174886 0.0017098287 0.0015124928 0.0045949304 0.0013788538 0.0012364722 0.0039080014 0.0061923526 0.0015124928 0.0011927586 0.00090050144 0.002482936 0.001992094 0.0007718584 0.0008305596 0.002319322 0.00075936876 0.00083555543 0.0007156551 0.0016261482 0.0006082444 0.0005982527 0.0005695266 0.0039104996 0.0005907589 0.0006569539 0.00054704526 0.00418652 0.0013276464 0.00046836067 0.0005657797 0.0011927586 0.00065820286 0.000588261 0.0009504599 0.0011140739 0.0023605379 0.00068193313 0.000522066 0.0053780293 0.0026365584 0.0029163258 0.01012908 0.0030075 0.0018559572 0.0023792721 0.0015674471 0.0034796076 0.0019084136 0.00072065095 0.0014950073 0.0016811026 0.0009841819 0.00046960963 0.0005333067 0.011876378 0.003962956 0.0049446397 0.008905098 0.0039030057 0.032847695 0.003297259 0.0027327284 0.0034134125 0.0035795246 0.0022081644 0.0023755254 0.0027339773 0.0044263205 0.0011702772 0.0015449658 0.009139903 0.0021632018 0.0020745255 0.009843068 0.003233562 0.013960895 0.0032510476 0.0021144922 0.0019433845 0.006572037 0.0027664504 0.0032885163 0.0015799367 0.0046786107 0.0023992555 0.0036369767 0.005816415 0.00441508 0.0016811026 0.003237309 0.009292276 0.0061648753 0.0039017566 0.0015424679 0.00779602 0.004250217 0.0036544623 0.0013663642 0.0034808565 0.0017210693 0.004368868 0.0040416406 0.0030874335 0.0016910943 0.0049184114 0.0038530473 0.010237739 0.0055741165 0.0017535423 0.0010853478 0.002781438 0.00127519 0.0005358046 0.00059575477 0.0016686129 0.0025416373 0.0010728582 0.000883016 0.0052931 0.0011690282 0.0010990864 0.009148645 0.0031511306 0.0032572923 0.001044132 0.0006244809 0.0026877658 0.0153322555 0.002254376 0.052216593 0.0012077461 0.0111045195 0.0008655305 0.000686929 0.002681521 0.00044837728 0.0007343895 0.00065195805 0.0011340573 0.00094546407 0.0015262313 0.00057327346 0.0011852648 0.0005945058 0.00050458056 0.000719402 0.00096544746 0.00048085029 0.00046960963 0.00042339804 0.0009054973 0.0033609562 0.0004708586 0.0025753593 0.0014375551 0.00082556374 0.0005695266 0.00045712 0.0010566217 0.00046211586 0.00051457225 0.00049209094 0.0008555388 0.0004546221 0.00074937707 0.00066444767 0.0013376381 0.0006919248 0.0017472976 0.0005420494 0.00088676286 0.0006769373 0.000719402 0.0015949243 0.0031811057 0.0025591226 0.0046960963 0.00083180855 0.0010104101 0.00048459717 0.0008617836 0.0007218999 0.01211368 0.0011602856 0.0023093303 0.010450063 0.0044000926 0.0010691113 0.003592014 0.003400923 0.0018884302 0.0017822685 0.0009929247 0.0013151568 0.001698588 0.0009017504 0.0010016673 0.0009517089 0.0029025872 0.0011615345 0.003003753 0.0013663642 0.001830978 0.00077560527 0.0016199035 0.00088426494 0.003400923 0.0006607008 0.0010965884 0.0018047498 0.0015112438 0.0007256468 0.0005682776 0.000850543 0.0024629526 0.00066444767 0.00088676286 0.0010004184 0.0024567079 0.002455459 0.000555788 0.00070066756 0.027879326 0.006084942 0.0011040822 0.0059575476 0.006597016 0.0010528748 0.000686929 0.0007618667 0.00731392 0.0009866798 0.0018347249 0.0009279786 0.00922733 0.002191928 0.0041365614 0.0026190728 0.010166549 0.0030836866 0.00310367 0.0036482175 0.0150350025 0.0040353956 0.004343889 0.06961089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017941206 0.0 0.0 0.0005227113 0.00024727063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008765275 0.0 0.0 0.0038380157 0.002781325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006297576 0.0 0.0 0.00037497497 0.0002773187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005565154 3.7560096e-06 1.8154047e-05 6.7608176e-05 0.00015024039 7.63722e-05 6.260016e-06 7.5120192e-06 1.5650041e-05 0.0 0.0 1.8780048e-06 8.138021e-06 3.130008e-06 5.008013e-06 0.00036182892 0.006154222 0.00020783253 0.00021534455 0.00055588945 0.001928711 0.00049266324 0.0024702023 0.0010748447 0.0001965645 0.00010141226 9.327424e-05 7.57462e-05 0.00067795976 0.00038373898 0.00040439703 0.0029159156 0.013448392 0.00064728566 0.00095465244 0.0021008614 0.0041679186 0.0036427034 0.007031876 0.0032395583 0.00045823317 0.00023788061 0.0003136268 0.00033365886 0.0021021133 0.0011149088 0.0011324369 0.009073894 0.020966671 0.0013152293 0.0012451172 0.0020977315 0.007385567 0.0025853866 0.006754557 0.0032871345 0.0024144882 0.0009840745 0.0009859526 0.0013484075 0.0040965546 0.002674905 0.0026993188 0.009671724 0.020416416 0.001576898 0.0012632712 0.0022892877 0.009517728 0.0040827827 0.005942007 0.003440505 0.005867513 0.0014272836 0.0017959985 0.002327474 0.0038999899 0.0017897385 0.0040840344 0.009766251 0.07476275 0.009916492 0.007354267 0.010183168 0.04248798 0.030913211 0.021520058 0.0140938 0.051995695 0.0053448016 0.0061166617 0.009235402 0.016957758 0.007145182 0.02771935 0.06168933 0.060869265 0.010232622 0.009210988 0.011790114 0.028405448 0.030916966 0.017850436 0.014758614 0.050326146 0.0059451372 0.0065486026 0.00924354 0.021313477 0.011048928 0.02533804 0.049022187 0.0002360026 4.8202124e-05 8.7014225e-05 5.2584135e-05 9.1396236e-05 0.00010016026 4.3820113e-05 6.635617e-05 0.00013584235 2.9422075e-05 3.3804088e-05 2.9422075e-05 8.513622e-05 6.0722155e-05 7.386819e-05 0.00010829828 5347.0 15.072564 80593.0 0.005806956 0.00013648828 0.0005955852 9.92642e-05 0.0035735113 0.0006079933 0.00013648828 0.00018612038 0.00042187286 0.0004342809 0.0007817056 0.0006204013 0.0005335451 0.015199832 0.0012035784 0.000496321 0.023103744 0.016986586 0.023897856 0.012197089 0.018885015 0.014083109 0.019493008 0.011080367 0.022011837 0.014058293 0.0008809698 0.0005459531 0.001017458 0.0005707692 0.00012408025 0.0001488963 0.001451739 0.009095083 0.007891504 0.015472808 0.00760612 0.017197523 0.0050376584 0.0032757188 0.0052485946 0.018760934 0.0026180933 0.004255953 0.007271103 0.0071097985 0.0047274577 0.009827157 0.013760501 0.0027918057 0.006377725 0.021825718 0.013934213 0.0066755177 0.006290869 0.0037224076 0.002965518 0.005707692 0.0016254514 0.0031888625 0.0012408026 0.002977926 0.0031020064 0.023662105 0.00027297655 0.0321616 0.012780266 0.027868425 0.026937824 0.055786483 0.011192039 0.010435149 0.018401101 0.03644237 0.0069609024 0.0067747817 0.024704378 0.012073009 0.038973607 0.03573511 0.018612038 0.0024940132 0.04058665 0.029754445 0.043130297 0.011229263 0.010608862 0.005695284 0.013710869 0.0071222065 0.0011167222 0.00031020064 0.0005831772 0.00027297655 0.00032260866 0.0003350167 5.77702 0.0 2.0 14.0 4.0 800665.0 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 -6.5716305 0.0 0.0 0.0 0.0 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: 0.11258575 0.014206053 0.006934422 0.0070705432 0.017516261 0.0039908118 0.004122292 0.0031988367 0.016730472 0.0024176894 0.0021377138 0.0028693627 0.011929125 0.003962969 0.0017355391 0.01224313 0.009941452 0.0027502573 0.0011260896 0.00095439184 0.008252318 0.0028275985 0.0012915999 0.0008755037 0.005652103 0.00076103857 0.0007471171 0.0010410141 0.004708539 0.00095439184 0.0006109964 0.0011353705 0.004453313 0.00052746775 0.00048725028 0.0008584886 0.033521272 0.00081981794 0.0004176431 0.00051045266 0.0033875497 0.0007471171 0.00052592094 0.0024316108 0.002547623 0.0005661384 0.00052437413 0.00048415663 0.0024610006 0.0005352019 0.0007130869 0.005226726 0.0020804813 0.00054293603 0.00040836213 0.00042073676 0.0023388013 0.0026914778 0.00068524404 0.006539982 0.00226146 0.0012730381 0.0005290146 0.0004470328 0.004855488 0.002761085 0.0021005902 0.0014462826 0.011871892 0.007500561 0.005958375 0.003107574 0.0042893495 0.0014416421 0.00087241 0.0007007123 0.007789817 0.0058965017 0.0028724563 0.0037603348 0.012066792 0.015316674 0.0049003456 0.004015561 0.005658291 0.0069684526 0.00869471 0.0052375537 0.0014586572 0.0011632134 0.00033411448 0.003969156 0.0038608785 0.0041547753 0.0059645623 0.004826098 0.0010100775 0.00033875497 0.00025367952 0.00046714154 0.0010719507 0.00024285173 0.0038330355 0.00019954059 0.0050828713 0.0004578606 0.007205117 0.0003635042 0.0020510918 0.00027997556 0.000578513 0.00035422322 0.0015854969 0.00037897244 0.0022552728 0.0015901375 0.0122091 0.007825394 0.0024857498 0.0010456545 0.0016551041 0.00066513533 0.0006156369 0.00047487568 0.0037974585 0.0013596603 0.00180824 0.0011028871 0.0037773498 0.0029513445 0.0016458231 0.0254422 0.004142401 0.008654493 0.0015514668 0.0011152618 0.0033148488 0.02402376 0.0021717441 0.065498814 0.0014370016 0.011310394 0.0007625854 0.00053365505 0.0012714912 0.00053365505 0.00038670658 0.0003696915 0.0011616666 0.0012142586 0.00053365505 0.00038051928 0.00095129816 0.0003464891 0.00025367952 0.00034184862 0.00082600524 0.0002985375 0.00046714154 0.0003232867 0.0016427295 0.0017602884 0.0006125432 0.0012127118 0.00092500215 0.00021036838 0.00027533507 0.00023202394 0.0011523856 0.00019799377 0.00021964933 0.00047332884 0.00079042825 0.00020882156 0.0002954438 0.00041609627 0.0010781379 0.00034494227 0.0002815224 0.0002954438 0.0020294362 0.00025831998 0.0027502573 0.0027935682 0.0034045647 0.0012745849 0.0010425609 0.0005645916 0.0009977029 0.0007068996 0.0022212425 0.00069143134 0.008631291 0.005180321 0.003474172 0.0078021917 0.012405547 0.0013271769 0.0029807342 0.007825394 0.0024099555 0.0021794783 0.0012096182 0.0007826941 0.033909526 0.00063110515 0.0015236239 0.00083373935 0.0029528914 0.0012915999 0.0020464512 0.0020773876 0.001460204 0.0011121681 0.00093273626 0.00080899015 0.0028987525 0.0016875875 0.0007177274 0.0018376296 0.00083373935 0.0014323612 0.0004408455 0.000658948 0.0035143893 0.0010224521 0.0011477451 0.00046250108 0.0011477451 0.0016257145 0.00045631375 0.00040372167 0.019867437 0.0027409762 0.0009188148 0.004934376 0.0035824496 0.0008476608 0.00070844643 0.00081827113 0.0031632597 0.0009280958 0.0009126275 0.00063265197 0.0019722036 0.0006063559 0.0021500885 0.0021315266 0.0059011425 0.0018639257 0.0012544761 0.0018902217 0.004782787 0.0019010495 0.0037711626 0.03658399 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024770584 0.00014648438 0.00012788319 0.00013485864 0.00036117312 0.00027281747 0.00026506698 0.00017128597 0.0023708767 0.00040225073 4.9603175e-05 0.00038364955 0.000530909 0.0002108135 0.00021623884 0.0029901413 0.01905692 0.0022584945 0.0015687004 0.0014671689 0.005722966 0.0059950086 0.001141648 0.0022143167 0.0150421625 0.0007672991 0.0005495102 0.0013214595 0.0066755023 0.0011959015 0.0037558903 0.0074575273 0.14099082 0.026581876 0.031230623 0.016824001 0.04165504 0.052195717 0.013395182 0.024277654 0.09852741 0.0060577877 0.006158544 0.012682912 0.0589681 0.013189019 0.027280971 0.041095454 0.060691807 0.014663938 0.019929625 0.010728236 0.019543651 0.03014013 0.008973524 0.014177207 0.04250837 0.002421255 0.003875248 0.0063368054 0.026994977 0.008611576 0.012995257 0.018995691 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1862.0 5.743824 10695.0 0.026928471 0.0017765311 0.002057036 0.0021505377 0.13585788 0.0019635344 0.0014025245 0.0015895278 0.015240767 0.0029920524 0.0009350164 0.0073866295 0.011033193 0.0013090229 0.0016830295 0.0012155212 0.011033193 0.0018700327 0.0012155212 0.011126694 0.009911173 0.0013090229 0.0014960262 0.001028518 0.009817672 0.035717625 0.0015895278 0.018326322 0.009817672 0.0014025245 0.0011220196 0.0011220196 0.013277233 0.003927069 0.0015895278 0.002805049 0.038522676 0.0014025245 0.006171108 0.006451613 0.008976157 0.00084151473 0.0009350164 0.0009350164 0.036278635 0.001028518 0.002805049 0.0040205703 0.05301543 0.049555868 0.03309958 0.021411875 0.030201029 0.015801776 0.027582983 0.02346891 0.004862085 0.0059841047 0.00037400654 0.015240767 0.01944834 0.016830295 0.025806451 0.022907902 0.003927069 0.0005610098 0.00037400654 0.011781206 0.0044880784 0.00037400654 0.0024310425 0.00018700327 0.028143993 0.0005610098 0.010191678 0.0002805049 0.007947639 0.00037400654 0.0019635344 0.001028518 0.003366059 0.00018700327 0.007199626 0.0035530622 0.01888733 0.015147265 0.023001403 0.002057036 0.0034595605 0.00037400654 0.00084151473 0.00018700327 0.0125292195 0.0005610098 0.0036465637 0.0014025245 5.4230757 0.0 0.0 0.0 1.0 646485.0 3850240.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1516190800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 1018368.0 1024.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -36352.0 0.0 0.0 -1872384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1048576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5690446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35988.0 0.0 0.0 -1881941.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1048576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872416.0 2940928.0 0.0 0.0 13144.0 3830784.0 35988.0 3813376.0 28.0 1025648.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1139216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.43050987 0.013363487 0.0042146384 0.005859375 0.0028782894 0.0015419408 0.0038034539 0.0015419408 0.004317434 0.0016447369 0.0029810856 0.0012335526 0.0023643093 0.0041118423 0.0026726974 0.0005139803 0.0010279606 0.0034950657 0.0011307566 0.00030838815 0.0006167763 0.0009251645 0.0006167763 0.0002055921 0.0004111842 0.00071957236 0.0005139803 0.00030838815 0.0004111842 0.0011307566 0.0005139803 0.0004111842 0.00832648 0.0010279606 0.00030838815 0.0005139803 0.0005139803 0.0002055921 0.00010279605 0.0002055921 0.0004111842 0.0004111842 0.00071957236 0.00010279605 0.00030838815 0.0002055921 0.011513158 0.0 0.0024671052 0.0006167763 0.0015419408 0.0005139803 0.001850329 0.00010279605 0.00071957236 0.0 0.0004111842 0.0004111842 0.00071957236 0.0002055921 0.0002055921 0.00030838815 0.00030838815 0.0002055921 0.0012335526 0.008634868 0.002158717 0.008532072 0.0030838817 0.0027754933 0.0023643093 0.00071957236 0.0004111842 0.012541118 0.0014391447 0.0004111842 0.0060649673 0.0033922698 0.0020559211 0.00442023 0.004317434 0.0002055921 0.0029810856 0.008429277 0.0029810856 0.0024671052 0.0041118423 0.0006167763 0.0014391447 0.0006167763 0.0002055921 0.00030838815 0.0 0.00010279605 0.0006167763 0.0013363487 0.0006167763 0.02477385 0.0065789474 0.009046053 0.012438322 0.04296875 0.0027754933 0.008634868 0.003700658 0.02837171 0.0006167763 0.005448191 0.015419408 0.01223273 0.02888569 0.026932565 0.013877467 0.0009251645 0.032997534 0.018092105 0.031558387 0.0076069077 0.0060649673 0.0026726974 0.0004111842 0.0064761513 0.0002055921 0.0006167763 0.00010279605 0.0006167763 0.0002055921 0.0 0.0006167763 0.00010279605 0.0 0.00010279605 0.0002055921 0.00030838815 0.0002055921 0.0002055921 0.0 0.00030838815 0.0013363487 0.0002055921 0.0002055921 0.0002055921 0.0005139803 0.0 0.0002055921 0.0004111842 0.00010279605 0.00010279605 0.0002055921 0.00010279605 0.0002055921 0.0 0.0 0.00010279605 0.0 0.00030838815 0.001953125 0.00010279605 0.0 0.0 0.00010279605 0.0016447369 0.00071957236 0.00010279605 0.00010279605 0.0002055921 0.0 0.0002055921 0.0 0.00030838815 0.0 0.0005139803 0.0 0.00010279605 0.00010279605 0.00010279605 0.00010279605 0.0002055921 0.00010279605 0.00010279605 0.00010279605 0.0002055921 0.00030838815 0.0002055921 0.0014391447 0.00030838815 0.00010279605 0.0 0.00010279605 0.00010279605 0.00010279605 0.0 0.00030838815 0.00010279605 0.00010279605 0.00010279605 0.00010279605 0.00010279605 0.0004111842 0.00010279605 0.0002055921 0.0002055921 0.00010279605 0.0 0.0 0.0002055921 0.00010279605 0.0004111842 0.0002055921 0.0 0.0002055921 0.0002055921 0.00010279605 0.00010279605 0.0002055921 0.0002055921 0.00010279605 0.00010279605 0.00010279605 0.00010279605 0.0 0.00010279605 0.00010279605 0.00010279605 0.00030838815 0.0 0.0002055921 0.00010279605 0.00010279605 0.0 0.0008223684 0.0002055921 0.0 0.0002055921 0.0002055921 0.0 0.00010279605 0.0002055921 0.0 0.00030838815 0.00010279605 0.00010279605 0.0 0.00010279605 0.0 0.0 0.0 0.00010279605 0.0004111842 0.00030838815 0.0002055921 0.0002055921 0.0 0.00010279605 0.00010279605 0.00030838815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.097595215 0.00048828125 0.0018920898 0.0016479492 0.0031738281 0.0021362305 0.012023926 0.005432129 0.00012207031 0.0 6.1035156e-05 0.00012207031 0.0 0.00012207031 6.1035156e-05 0.00012207031 0.18884277 0.006652832 0.010681152 0.0045166016 0.006164551 0.0031738281 0.0071411133 0.0041503906 0.0030517578 0.00390625 0.0028076172 0.0028686523 0.0015258789 0.0012207031 0.0017700195 0.0015258789 0.010192871 0.0 0.0020141602 0.00018310547 0.02935791 0.01184082 0.13134766 0.06506348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12121582 0.00579834 0.010925293 0.0041503906 0.02960205 0.017578125 0.11236572 0.06585693 0.0010375977 0.00030517578 0.0017700195 0.0008544922 0.0010375977 0.00091552734 0.001159668 0.0004272461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 187.0 21.02139 3931.0 0.0033070466 0.0002543882 0.0002543882 0.0007631646 0.0 0.0 0.0 0.0 0.0 0.0 0.0002543882 0.0 0.0002543882 0.0 0.019333502 0.0 0.0010175528 0.0002543882 0.0005087764 0.0005087764 0.0033070466 0.0 0.0 0.0 0.0005087764 0.0002543882 0.0 0.0 0.0002543882 0.0002543882 0.0002543882 0.0 0.0002543882 0.020096667 0.0045789876 0.019333502 0.006614093 0.0055965404 0.0027982702 0.0007631646 0.0 0.028491478 0.0005087764 0.0 0.013736962 0.0071228696 0.0033070466 0.00839481 0.008649198 0.0 0.006868481 0.01831595 0.0055965404 0.005342152 0.007886034 0.0015263292 0.0022894938 0.0 0.0 0.0 0.0 0.0 0.0 0.002543882 0.0005087764 0.054439075 0.015772069 0.020859832 0.027473925 0.10099211 0.005342152 0.01984228 0.008140422 0.063088275 0.0005087764 0.012973798 0.03434241 0.026965149 0.063597046 0.05800051 0.030780971 0.0015263292 0.07377258 0.041719664 0.0732638 0.017552786 0.012973798 0.006359705 0.0010175528 0.013991351 0.0 0.0010175528 0.0 0.0010175528 0.0 0.0 4.9186606 0.0 0.0 0.0 1.0 9728.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528757200.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 7168.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 1536.0 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 -5.107075 0.0 3.216202 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 -6772.0 0.0 1068.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 14872.0 1068.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0