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 0.007055411 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 0.0044315658 0.0017689092 0.0040237764 0.0023740334 0.0057910457 0.0134417415 0.005521555 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 0.00071445125 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 0.0005121965 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 0.001422343 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 0.0004914244 0.025400463 0.0039144494 0.0013272285 0.0053274995 0.007928933 0.0006040311 0.00076966133 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 0.024340205 0.036606323 0.01211977 0.025704384 0.062461156 0.010304786 0.010343356 0.008525911 0.02756587 0.011687019 0.029143963 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 -10.639047 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: 0.4001058 0.008666992 0.0030517578 0.0024210613 0.0056355796 0.0033365886 0.0013224283 0.0007324219 0.0038045247 0.00059000653 0.0008544922 0.0005289714 0.0038452148 0.0006713867 0.00079345703 0.003967285 0.010884603 0.0066731772 0.00061035156 0.00020345052 0.0036214192 0.010721843 0.0020345051 0.0007527669 0.0020141602 0.00010172526 6.1035156e-05 0.00036621094 0.0010579427 0.0006306966 0.0005289714 0.0020548503 0.0021565754 0.00036621094 0.00016276042 0.0004679362 0.0044555664 0.0028279622 0.0014648438 0.00034586588 0.0036417644 0.00016276042 0.00016276042 0.0017089844 0.003194173 0.00014241536 0.0005289714 0.0002644857 0.0012410482 0.0004679362 0.0006510417 0.0013427734 0.0012817383 0.00056966144 0.00022379558 0.00014241536 0.000773112 0.0016276041 0.00032552084 0.0026855469 0.00061035156 0.00036621094 4.0690105e-05 0.00028483072 0.020853678 0.0025634766 0.0008748372 0.0012207031 0.0028686523 0.011433919 0.0013224283 0.00036621094 0.00197347 0.0022786458 0.00018310547 0.00036621094 0.0018513998 0.01578776 0.0008951823 0.0004679362 0.012898763 0.010274251 0.008036296 0.0019327799 0.0027058918 0.0056966147 0.004435221 0.0006510417 0.00091552734 0.00014241536 0.00036621094 0.0005493164 0.0010375977 0.0011189779 0.0006713867 0.005452474 0.0013020834 0.0048217773 0.002339681 0.00069173175 0.0028076172 0.0032145183 0.0033365886 0.000386556 0.0064493814 0.0014038086 0.0049438477 0.00030517578 0.0021565754 0.0007324219 0.0016072592 0.0020751953 0.0017089844 0.00024414062 0.0072631836 0.001159668 0.0043945312 0.0038655598 0.0030517578 0.00044759116 0.0059814453 0.000773112 6.1035156e-05 8.138021e-05 0.0005493164 0.0030721028 0.00012207031 0.00034586588 0.004292806 0.0019124349 0.00010172526 0.005554199 0.0022786458 0.005452474 0.00012207031 0.00030517578 0.004292806 0.009256999 0.00010172526 0.035786945 0.0006306966 0.031229654 0.00012207031 0.0005289714 0.0037231445 0.0004679362 0.0004679362 0.0004272461 0.0006713867 0.0021565754 0.00010172526 0.00010172526 0.002380371 0.00018310547 8.138021e-05 0.00022379558 0.0004679362 0.00034586588 0.00012207031 8.138021e-05 0.0013427734 0.0009765625 0.00071207684 0.00069173175 0.0013631185 8.138021e-05 0.00010172526 0.00010172526 0.002339681 0.00014241536 8.138021e-05 8.138021e-05 0.0015869141 2.0345053e-05 6.1035156e-05 0.00014241536 0.0020955403 0.00018310547 0.00016276042 8.138021e-05 0.0005289714 0.0004679362 0.00016276042 0.00014241536 0.001953125 0.00036621094 0.0010375977 0.00014241536 0.0006306966 0.0021769207 0.00018310547 0.0006306966 0.008768718 0.0015869141 0.0008951823 0.0007527669 0.0018310547 6.1035156e-05 0.00040690103 0.00575765 0.0010782877 0.0015869141 0.0002644857 8.138021e-05 0.0022379558 0.00014241536 0.0002644857 0.00018310547 0.007039388 0.00018310547 6.1035156e-05 0.0057373047 0.002400716 6.1035156e-05 0.0033569336 0.0026448567 0.0028076172 0.0004679362 0.00012207031 0.00081380206 0.00071207684 0.00044759116 0.00016276042 0.0002644857 0.0010986328 0.00012207031 0.0005493164 8.138021e-05 0.0022379558 0.00040690103 0.00018310547 0.00010172526 0.0016682943 0.0009969076 0.00018310547 0.0018920898 0.0022176106 8.138021e-05 0.00034586588 0.00016276042 0.0006713867 0.00016276042 0.00016276042 8.138021e-05 0.0004272461 2.0345053e-05 0.0005086263 0.00040690103 0.0032348633 0.00010172526 0.0014444987 0.0006306966 0.0011189779 0.002400716 0.0030314128 0.07411703 0.17021276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01954164 2.0777925e-05 0.0 6.233378e-05 0.0 0.0 0.0 2.0777925e-05 0.0 0.0 0.0 0.0 6.233378e-05 0.0 0.0 0.0015687334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019302692 0.00017661236 0.00020777926 3.116689e-05 0.000280502 0.00012466755 0.00031166887 0.00014544548 0.00014544548 4.155585e-05 0.00012466755 0.00011427859 0.00020777926 2.0777925e-05 1.0388962e-05 3.116689e-05 0.033732962 0.0001662234 0.00020777926 0.00038439163 0.00043633644 0.0003947806 0.0008934508 0.00057139294 0.0006025598 2.0777925e-05 0.0 0.00014544548 0.00027011303 0.0 0.0001662234 0.0045607546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013058926 0.0 0.0 0.000280502 0.0009453956 0.0017453458 0.003334857 0.0019115692 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014191323 0.00014544548 0.00020777926 0.00032205784 0.00043633644 0.0003947806 0.0008934508 0.000550615 0.0006025598 2.0777925e-05 0.0 0.00014544548 0.00020777926 0.0 0.0001662234 0.0029920214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.048308678 0.0032933012 0.0025660738 0.0015999003 0.005661985 0.0029712433 0.006493102 0.0051425365 0.00110123 0.0006337267 0.0018180684 0.00059217087 0.00043633644 0.00036361368 0.0009557846 0.0031686337 0.0097136805 0.00038439163 0.000561004 0.00046750333 0.0015895113 0.0016102892 0.0034803026 0.0023894615 0.00012466755 7.272274e-05 7.272274e-05 7.272274e-05 0.00027011303 1.0388962e-05 9.350067e-05 0.00036361368 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026325632 0.0070333276 0.0036776927 0.0012570645 0.009059176 0.003947806 0.0072099403 0.008155336 0.018835189 0.0017245678 0.0018804022 0.0010804521 0.0036776927 0.010025349 0.0008934508 0.022876495 0.050261803 0.016674286 0.0068567153 0.0045088097 0.028185256 0.024663398 0.010731799 0.009183843 0.048017785 0.0046334774 0.0026284077 0.0050802026 0.012632979 0.0115629155 0.0060152095 0.034958858 0.02574385 0.015147108 0.008030668 0.003958195 0.019822141 0.0221181 0.005734707 0.00561004 0.034564078 0.0050698137 0.0033868018 0.0038335272 0.008477394 0.005859375 0.004280253 0.019853307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159.0 11.962264 1902.0 0.005783386 0.0010515247 0.0 0.0010515247 0.0021030493 0.0 0.0005257623 0.0 0.0 0.0 0.0 0.0 0.0 0.0010515247 0.0047318614 0.0 0.0031545742 0.0021030493 0.007886435 0.0031545742 0.0052576237 0.0015772871 0.0047318614 0.0 0.0021030493 0.0 0.0005257623 0.0 0.0 0.0 0.0 0.0 0.0005257623 0.0068349107 0.0063091484 0.017350158 0.0047318614 0.009463723 0.012618297 0.0031545742 0.0031545742 0.018927446 0.0005257623 0.0021030493 0.009989485 0.007886435 0.005783386 0.0068349107 0.005783386 0.0021030493 0.0063091484 0.018927446 0.0031545742 0.0036803365 0.027865404 0.0005257623 0.0 0.0 0.0005257623 0.0 0.0042060986 0.0 0.0005257623 0.12776025 0.0005257623 0.10147213 0.057833858 0.0105152475 0.027339643 0.052050475 0.012092534 0.0042060986 0.0042060986 0.021030495 0.01104101 0.0026288119 0.021030495 0.011566772 0.02471083 0.029442692 0.013669821 0.0015772871 0.071503684 0.021556256 0.04258675 0.013144059 0.06414301 0.0026288119 0.0031545742 0.009989485 0.0 0.0 0.0 0.0 0.0 0.0 4.979414 1.0 0.0 0.0 1.0 49152.0 49152.0 0.0 0.0 74.0 0.0 1.0 0.0 0.0 0.0 1514702700.0 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 36864.0 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 -36864.0 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 -6.019638 0.0 3.0267725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33780.0 0.0 2248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36228.0 2248.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 404.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14369386 0.008706515 0.0042228224 0.0034540105 0.0062959814 0.003983274 0.002046821 0.0019778411 0.0079527525 0.0015238281 0.0017169719 0.0015188114 0.0046141264 0.0013846143 0.0012416377 0.003924328 0.0062182224 0.0015188114 0.0011977415 0.00090426346 0.0024933089 0.0020004164 0.00077508297 0.0008340294 0.0023290114 0.0007625412 0.00083904614 0.0007186449 0.0016329418 0.00061078544 0.000600752 0.00057190587 0.003926836 0.0005932269 0.00065969845 0.00054933067 0.0042040097 0.0013331929 0.00047031732 0.0005681433 0.0011977415 0.00066095265 0.0005907186 0.00095443067 0.0011187282 0.0023703994 0.00068478205 0.00052424707 0.0050367853 0.0025309343 0.002563543 0.010037199 0.0026977402 0.0017445638 0.0020831923 0.0014473232 0.0032081914 0.0017984934 0.0007236616 0.0015012529 0.0016881257 0.0009882934 0.00047157152 0.0005355347 0.0119259935 0.0039795116 0.004965297 0.0089423 0.0039193113 0.032984924 0.003311034 0.0027441448 0.0034276727 0.0035944786 0.0022173894 0.0023854496 0.002745399 0.0044448124 0.0011751662 0.0015514201 0.009178086 0.002172239 0.0020831923 0.009884189 0.0032470708 0.014019219 0.0032646293 0.002123326 0.0019515033 0.006599493 0.0027780076 0.0033022547 0.0015865371 0.0046981564 0.0024092789 0.0036521708 0.005840714 0.004407187 0.0015589452 0.0032182247 0.009205678 0.006141717 0.0038114516 0.0015188114 0.0077357795 0.004224077 0.0035593617 0.0013306845 0.0033825221 0.0016969049 0.0042704814 0.0040183915 0.0029523387 0.0016617879 0.004782187 0.0038327726 0.010168888 0.0055698114 0.0016040957 0.001054765 0.0026701482 0.0012805173 0.00053804304 0.00059824367 0.0016755839 0.0025522553 0.0010773402 0.00088670495 0.005315213 0.0011739121 0.001103678 0.009186865 0.003164295 0.0032709003 0.0010484941 0.00062708976 0.0026989945 0.015396308 0.0022637942 0.05243474 0.0012127917 0.0111509105 0.00086914643 0.00068979873 0.0026927234 0.00045025046 0.0007374576 0.0006546817 0.001138795 0.0009494139 0.0015326074 0.0005756684 0.0011902164 0.00059698947 0.00050668855 0.0007224074 0.0009694808 0.00048285912 0.00047157152 0.00042516686 0.00090928015 0.0033749973 0.0004728257 0.0025861182 0.0014435607 0.00082901266 0.00057190587 0.00045902972 0.0010610359 0.00046404643 0.000516722 0.0004941467 0.000859113 0.00045652135 0.0007525077 0.00066722353 0.0013432263 0.0006948155 0.0017545972 0.0005443139 0.0008904675 0.0006797653 0.0007224074 0.0016015873 0.0031943952 0.002569814 0.004715715 0.0008352836 0.0010146312 0.00048662166 0.0008653839 0.00072491576 0.012164287 0.0011651329 0.002318978 0.01049372 0.0044184746 0.0010735777 0.0036070205 0.003415131 0.0018963194 0.0017897142 0.0009970728 0.001320651 0.0017056842 0.00090551766 0.001005852 0.0009556848 0.0029147132 0.001166387 0.003016302 0.0013720724 0.0018386273 0.0007788455 0.0016266708 0.00088795915 0.003415131 0.000663461 0.0011011696 0.0018122895 0.0015175573 0.0007286783 0.0005706517 0.00085409626 0.002473242 0.00066722353 0.0008904675 0.0010045979 0.0024669713 0.002465717 0.0005581099 0.0007035947 0.027995797 0.0061103627 0.0011086947 0.0059824362 0.006624576 0.0010572734 0.00068979873 0.00076504954 0.0073444755 0.0009908018 0.0018423898 0.0009318554 0.009265878 0.0022010852 0.0041538426 0.0026300144 0.010209021 0.0030965693 0.0031166363 0.0036634584 0.015097814 0.004052254 0.0043620365 0.0699017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018010477 0.0 0.0 0.00052472955 0.00024822535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006661237 0.0 0.0 0.0028593047 0.0020624697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006321891 0.0 0.0 0.00037642274 0.00027838943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055866415 3.7705115e-06 1.822414e-05 6.786921e-05 0.00015082046 7.666707e-05 6.284186e-06 7.541023e-06 1.5710464e-05 0.0 0.0 1.8852558e-06 8.169442e-06 3.142093e-06 5.027349e-06 0.00036322596 0.0061779832 0.00020863497 0.00021617599 0.00055803574 0.0019361577 0.0004945654 0.0024797397 0.0010789947 0.00019732345 0.00010180381 9.363437e-05 7.6038654e-05 0.00068057736 0.0003852206 0.00040595842 0.0029271739 0.013500317 0.0006497848 0.0009583384 0.0021089728 0.004184011 0.0036567678 0.007059026 0.0032520662 0.00046000243 0.00023879907 0.00031483773 0.0003349471 0.0021102296 0.0011192135 0.0011368092 0.009108927 0.021047624 0.0013203075 0.0012499245 0.0021058307 0.0074140825 0.0025953688 0.0067806365 0.003299826 0.0024238105 0.000987874 0.0009897593 0.0013536137 0.0041123712 0.0026852326 0.002709741 0.009709068 0.020495243 0.0015829864 0.0012681488 0.0022981267 0.0095544765 0.004098546 0.0059649493 0.0034537886 0.0058901673 0.0014327944 0.0018029329 0.0023364604 0.0039150477 0.0017966487 0.004099803 0.009803958 0.075051405 0.009954779 0.0073826616 0.010222485 0.042652026 0.031032568 0.021603147 0.014148217 0.05219645 0.005365438 0.006140278 0.009271059 0.017023232 0.00717277 0.027826376 0.061927512 0.061104283 0.01027213 0.009246551 0.011835636 0.028515123 0.031036338 0.017919356 0.014815597 0.050520457 0.0059680915 0.006573887 0.009279229 0.021395767 0.011091588 0.02543587 0.04921146 0.00023691381 4.8388232e-05 8.7350185e-05 5.2787163e-05 9.174911e-05 0.000100546975 4.39893e-05 6.6612374e-05 0.00013636684 2.9535675e-05 3.3934604e-05 2.9535675e-05 8.5464926e-05 6.0956605e-05 7.4153395e-05 0.00010871642 5347.0 14.449598 77262.0 0.0060573113 0.00014237271 0.0006212627 0.00010354379 0.0037275762 0.0006342057 0.00014237271 0.0001941446 0.0004400611 0.00045300406 0.0008154073 0.00064714864 0.00055654784 0.015855143 0.0012554683 0.0005177189 0.020346355 0.016515234 0.021161761 0.011338045 0.016372861 0.013460692 0.017175326 0.010250835 0.020009836 0.013447749 0.0009189511 0.00056949083 0.0010613238 0.00059537677 0.00012942973 0.00015531568 0.0015143278 0.0094872 0.008231731 0.016139887 0.007934042 0.01793896 0.005254847 0.003416945 0.0054748775 0.019569775 0.0027309672 0.0044394396 0.0075845825 0.0074163238 0.004931273 0.010250835 0.014353758 0.002912169 0.006652688 0.02276669 0.014534959 0.0069633196 0.006562087 0.003882892 0.0030933707 0.005953768 0.0016955294 0.003326344 0.0012942973 0.0031063135 0.0032357434 0.02468225 0.00028474542 0.033276383 0.0119981365 0.0287334 0.026804898 0.05768683 0.010574409 0.010574409 0.01823665 0.037560508 0.006122026 0.006639745 0.024604592 0.012269938 0.039450184 0.036861587 0.017887188 0.0022261913 0.040718593 0.030661903 0.04383785 0.011428646 0.009448371 0.0055784215 0.013033574 0.007429267 0.0011648675 0.00032357432 0.00060831977 0.00028474542 0.00033651732 0.0003494603 5.776682 0.0 2.0 14.0 4.0 797334.0 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 -6.564599 0.0 0.0 0.0 0.0 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: 0.17658737 0.0062163733 0.0045119952 0.004465931 0.0045626657 0.0033005048 0.0044613243 0.003420272 0.00409972 0.0034916715 0.0031208543 0.0033258402 0.003926979 0.0030264226 0.0029803582 0.0033258402 0.004143481 0.00320377 0.0031277637 0.0034133624 0.0030494547 0.002998784 0.0028559847 0.0028882297 0.0033511755 0.0030471515 0.0030126031 0.0027477336 0.003162312 0.0030149063 0.0027684625 0.0031530992 0.0044014407 0.003226802 0.00281683 0.0030632738 0.003745025 0.0033857238 0.003517007 0.0038693985 0.002872107 0.0029412035 0.003054061 0.0029734485 0.0030241192 0.0030816996 0.0031093382 0.003042545 0.0037035672 0.0033488723 0.0028306493 0.0031254606 0.0030724867 0.003238318 0.002784585 0.0032982016 0.0031277637 0.0029227778 0.0031139445 0.0028882297 0.0032751695 0.002989571 0.0033926335 0.0034594266 0.0059376843 0.0031530992 0.0030033903 0.0031162477 0.003247531 0.00403523 0.0029273843 0.0033281434 0.002869804 0.0028191332 0.0025842055 0.0031001254 0.0032291051 0.0030402418 0.002987268 0.0033396594 0.003604529 0.0029250812 0.0028767136 0.003033332 0.0041043265 0.0030033903 0.002805314 0.003031029 0.0032774727 0.0030402418 0.0028191332 0.0033580852 0.0029020489 0.0030356352 0.0032728664 0.0033304465 0.0037588445 0.0036459868 0.0035216133 0.0031254606 0.0034156656 0.0034340913 0.0030909125 0.0032221957 0.0032889887 0.0030056934 0.0029918742 0.0030586675 0.0030840028 0.0031968602 0.0033097176 0.0031853442 0.0035308262 0.0027638562 0.0033580852 0.0032889887 0.0033834206 0.0034133624 0.0034479105 0.0029435067 0.0029204746 0.002860591 0.003171525 0.002998784 0.003031029 0.0030471515 0.0029596293 0.0037081738 0.0055023767 0.003443304 0.0028790168 0.0029849645 0.0029319907 0.0031438863 0.002858288 0.0030586675 0.0030909125 0.0030609707 0.0027799786 0.0032337117 0.0030494547 0.00320377 0.0029319907 0.003042545 0.0035469488 0.0031093382 0.0029365972 0.0030079968 0.0027039726 0.0027615528 0.0027707657 0.002849075 0.003194557 0.0025865086 0.0031070348 0.0027385207 0.0030678804 0.0028744105 0.0031646152 0.0033419628 0.0034893684 0.0029688422 0.0027039726 0.0030402418 0.0026602116 0.0031438863 0.0030816996 0.0028099203 0.0031577055 0.0029849645 0.0030379386 0.0029089586 0.003431788 0.0029504164 0.0032820792 0.0032982016 0.0035446454 0.0028237398 0.0028444687 0.003044848 0.0030701836 0.0028651976 0.002699366 0.0032797758 0.0031001254 0.0028997457 0.0027684625 0.0030287257 0.003162312 0.0034617297 0.0032935953 0.0033972398 0.0046570976 0.0029550227 0.0031646152 0.0032129828 0.003086306 0.0029250812 0.0027247015 0.0033834206 0.0029619324 0.002860591 0.0026371793 0.0030978222 0.0031254606 0.0028997457 0.0033949367 0.003217589 0.0036805351 0.002826043 0.0030494547 0.0030517578 0.0028214364 0.0028444687 0.0027661594 0.0030471515 0.0030978222 0.0029803582 0.002978055 0.003378814 0.003183041 0.003388027 0.003183041 0.0031853442 0.0038325472 0.0030886093 0.0030402418 0.0032244988 0.0029066554 0.0030126031 0.002740824 0.0030701836 0.0038210312 0.0030586675 0.002913565 0.0032014668 0.0030195129 0.0035124004 0.0031692218 0.0040306235 0.0033949367 0.0031231574 0.0028444687 0.0030678804 0.0032337117 0.0028859265 0.0032014668 0.0030287257 0.0034893684 0.0028513782 0.003689748 0.0034156656 0.0033396594 0.003560768 0.0033189305 0.009194428 0.12765957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00428487 4.7327496e-05 3.8092865e-05 1.616061e-05 4.271018e-05 2.77039e-05 9.465499e-05 4.617317e-05 3.4629875e-06 2.6549571e-05 2.6549571e-05 1.500628e-05 2.1932256e-05 1.1543292e-05 9.234634e-06 1.616061e-05 0.0039212564 3.9247192e-05 0.00014890847 7.50314e-05 6.810542e-05 6.925975e-05 0.000106198284 5.656213e-05 2.6549571e-05 1.8469267e-05 5.771646e-06 3.3475546e-05 2.5395242e-05 1.500628e-05 1.616061e-05 0.0001027353 0.0018769393 4.617317e-05 1.2697621e-05 2.1932256e-05 0.00012120457 1.7314938e-05 1.8469267e-05 1.9623596e-05 1.8469267e-05 1.616061e-05 1.9623596e-05 1.9623596e-05 1.7314938e-05 5.656213e-05 3.001256e-05 5.1944815e-05 0.0051425365 0.00010504395 2.4240913e-05 6.579676e-05 0.00038554595 0.00019161864 0.00037284833 0.00022855718 3.9247192e-05 3.9247192e-05 4.271018e-05 5.8870788e-05 3.232122e-05 0.00012005024 0.00011427859 0.00012928488 0.0017014813 5.4253473e-05 4.617317e-06 2.5395242e-05 0.00017892102 1.1543292e-05 3.9247192e-05 3.4629877e-05 3.4629875e-06 1.500628e-05 1.8469267e-05 1.8469267e-05 1.2697621e-05 9.8117984e-05 4.271018e-05 0.00010504395 0.0030843676 0.00014775414 0.00013159352 7.618573e-05 0.00023432882 6.579676e-05 0.00024587213 0.00019508164 3.6938534e-05 6.002512e-05 0.00012235889 6.233378e-05 4.617317e-05 3.9247192e-05 3.5784204e-05 0.00014429115 0.004217919 0.00013967384 0.000107352615 0.00015237146 0.00037053967 0.000117741576 0.0002574154 0.00018815565 0.00011543292 0.00011312426 0.00010042664 0.0001108156 0.00012697621 0.0002100879 0.00020085328 0.0005633127 0.0013309416 4.8481827e-05 0.0001662234 3.3475546e-05 0.0001027353 7.734005e-05 0.000107352615 2.1932256e-05 1.385195e-05 3.001256e-05 0.00011312426 5.1944815e-05 1.9623596e-05 5.54078e-05 0.00011889591 7.272274e-05 0.005368785 0.00019046431 0.00033821847 0.00032321218 0.00083227135 0.00040170655 0.0008749815 0.0005309914 0.0002920453 0.00018122968 0.00019854463 0.00022971151 0.00032898382 0.00027819333 0.0003878546 0.0010631372 0.0008738272 0.00012697621 0.0013459479 0.00019508164 0.00017892102 0.00079302414 0.00029897125 0.0007560856 8.1957376e-05 0.00040516956 0.00037400267 0.0011347056 0.0007941785 0.000368231 0.0010100381 0.0007191471 0.0060232896 0.00078148086 0.0011970394 0.00093500665 0.0020385454 0.0015941287 0.0021470522 0.0017372655 0.0016587711 0.0008230367 0.0011878047 0.0013632628 0.0013309416 0.00086343824 0.0013251699 0.0033625609 0.0013482565 0.00063949835 0.002111268 0.0007710919 0.0011393229 0.0016125978 0.0011670268 0.0005379174 0.0008784445 0.0006164118 0.0014382942 0.00053907174 0.0006014055 0.0010146553 0.0013586455 0.0007745549 0.06639471 0.047668025 0.04659796 0.047995854 0.047126643 0.045547523 0.046693772 0.046578337 0.04814707 0.045508273 0.04540323 0.045754146 0.047049303 0.046440974 0.047110483 0.05066928 1386.0 8.265512 11456.0 0.011609637 0.009514665 0.008379889 0.006372207 0.011173184 0.010736732 0.011173184 0.012831704 0.010474861 0.011173184 0.009340084 0.009252793 0.007943436 0.0075069834 0.00864176 0.0061103352 0.011260475 0.00698324 0.006634078 0.009340084 0.00872905 0.0100384075 0.00698324 0.0075069834 0.009863826 0.009078212 0.0072451117 0.00864176 0.014577514 0.0061103352 0.011522346 0.00864176 0.008467179 0.014315642 0.009252793 0.011173184 0.011173184 0.011347765 0.008292598 0.0100384075 0.006546788 0.007594274 0.007768855 0.008205308 0.008554469 0.011260475 0.013268156 0.013704609 0.007594274 0.0075069834 0.009776536 0.011173184 0.010212989 0.009427374 0.011696927 0.007768855 0.007419693 0.010649442 0.007419693 0.00864176 0.0064594974 0.008903631 0.009078212 0.018331006 0.013006285 0.02077514 0.015886871 0.011085894 0.016236033 0.022608241 0.009689245 0.011085894 0.008205308 0.01387919 0.0101256985 0.00872905 0.013617318 0.014664805 0.013791899 0.013180866 0.011609637 0.0044518155 0.022782821 0.014402933 0.017981844 0.008554469 0.015275838 0.004539106 0.010562151 0.008990922 0.008990922 0.009951117 0.009951117 0.01038757 0.0049755587 0.011609637 6.51178 1.0 0.0 0.0 3.0 434176.0 446464.0 0.0 0.0 52.0 0.0 1.0 0.0 0.0 0.0 1542114200.0 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 372736.0 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 -372736.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.30635 0.0 7.6864853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -372664.0 0.0 49860.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 375620.0 49860.0 393216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 236.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.09695102 0.009464631 0.0053758896 0.0055529713 0.009242618 0.004094028 0.004363615 0.0034359174 0.0105720535 0.0025980822 0.0026562286 0.0034861348 0.0065969615 0.0031795453 0.0028650267 0.0062031527 0.006266585 0.0025346498 0.0022280603 0.0024950048 0.0044270474 0.0032905517 0.0021752 0.0022333465 0.003967163 0.0027090888 0.002169914 0.0024500734 0.0036024274 0.0020747655 0.0020932667 0.0020615505 0.004976794 0.0019954753 0.0021170538 0.0024077853 0.009070822 0.0021937012 0.0022439184 0.0021117677 0.0030341796 0.0021276257 0.0020113331 0.0034068443 0.0026826586 0.0019928322 0.0022280603 0.0022122022 0.0029126008 0.0020483355 0.0022677055 0.005806701 0.0028333105 0.0019716881 0.0021646281 0.0021276257 0.0032773367 0.0030368224 0.0020853376 0.0053573884 0.0028993858 0.0024606455 0.0020694796 0.0020906236 0.0050164396 0.0044534774 0.009271692 0.0034729196 0.004540697 0.008748375 0.004868431 0.002748734 0.0039698062 0.0025425788 0.0021434838 0.0022412755 0.0036182855 0.007677954 0.00371872 0.002339067 0.006620749 0.004099314 0.002743448 0.0038905158 0.0032086184 0.0034253455 0.00550804 0.004252609 0.00278045 0.0036843608 0.0020985526 0.003322268 0.0025875103 0.0037477931 0.0052860267 0.0039883074 0.0023919272 0.0024712177 0.0020853376 0.002325852 0.0032799798 0.004154817 0.005037584 0.0021091248 0.003517851 0.002917887 0.003750436 0.0019188278 0.0034967067 0.0022359893 0.0025901531 0.0028623836 0.0027196608 0.0019849031 0.004194462 0.0032191903 0.008732516 0.008484073 0.003380414 0.002582224 0.0024659315 0.0022254174 0.0020853376 0.0020404065 0.0030077493 0.0032059753 0.0030421084 0.0020509784 0.004498409 0.0030341796 0.0022941357 0.009010033 0.0036129993 0.005708909 0.0029126008 0.0022967786 0.003750436 0.012792185 0.0028227384 0.027283829 0.0022439184 0.010104241 0.0025716522 0.002146127 0.005949423 0.0021434838 0.0020192622 0.0025716522 0.0023972131 0.0021011957 0.0021038386 0.001778748 0.0023866412 0.0020404065 0.0019796172 0.0020509784 0.0024395015 0.0021937012 0.0022914927 0.0020086903 0.002339067 0.00198226 0.0020166193 0.001950544 0.0022677055 0.0020430493 0.001990189 0.0017998922 0.0022518474 0.0018104642 0.0020219053 0.0019241138 0.0020219053 0.001953187 0.0019056126 0.0020166193 0.0031399 0.002352282 0.0020351203 0.0020932667 0.0022571336 0.0020747655 0.0028042372 0.0024580024 0.004498409 0.0022544905 0.0021434838 0.0020641936 0.0024632886 0.0020430493 0.002339067 0.002196344 0.0065573165 0.005074586 0.004506338 0.0048420005 0.0029998203 0.0021725572 0.00470985 0.0043504 0.0033645562 0.0036605736 0.0022069162 0.0023787122 0.006945839 0.0022307034 0.0031636872 0.0026668005 0.0028359534 0.0024765036 0.0025927962 0.002346996 0.0026377274 0.0020985526 0.0022254174 0.002558437 0.003147829 0.002365497 0.0022386324 0.0026509424 0.0026905877 0.0020483355 0.0021170538 0.0022307034 0.0032324055 0.0023020648 0.0023972131 0.0020589074 0.0033989153 0.002159342 0.0027566631 0.0021064817 0.013175422 0.005851632 0.0022095593 0.004450835 0.003977735 0.002325852 0.0020932667 0.002317923 0.005283384 0.0033989153 0.0022227743 0.0026033684 0.002931102 0.0018712535 0.0029998203 0.0028095234 0.0034438465 0.0029998203 0.0025002907 0.0025055767 0.005663978 0.0027566631 0.0055688294 0.034660477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023790442 1.7249065e-05 1.3268512e-05 2.6537024e-05 3.184443e-05 2.122962e-05 5.0420345e-05 1.9902769e-05 5.3074047e-05 2.9190727e-05 1.1941661e-05 1.3268512e-05 9.287958e-06 1.4595364e-05 1.5922215e-05 1.061481e-05 0.002103059 1.4595364e-05 2.122962e-05 1.8575916e-05 0.00013268512 3.7151833e-05 0.00015656845 0.00010084069 4.6439793e-05 3.9805536e-06 9.287958e-06 1.061481e-05 2.6537024e-05 1.4595364e-05 1.4595364e-05 6.634256e-06 0.005665655 7.5630516e-05 0.00023485266 7.6957374e-05 0.00026537024 6.368886e-05 0.0006435228 0.0003290591 4.245924e-05 0.00014860733 4.378609e-05 1.8575916e-05 1.7249065e-05 1.8575916e-05 1.5922215e-05 0.0004922618 0.025206193 0.000757632 0.0010110607 0.00022954526 0.002015487 0.00032507855 0.0015603771 0.00088766345 0.0007589589 0.0011105745 0.00018443233 0.0001632027 0.00018045177 0.00033038596 0.00024944803 0.0030729875 0.008824888 0.00027731192 0.00029190726 8.624533e-05 0.00088766345 0.00016718326 0.00032242484 0.00028925357 0.00044449515 0.0004166313 5.1747196e-05 6.634256e-05 9.022588e-05 8.624533e-05 0.0001711638 0.0011132282 0.0014874003 1.7249065e-05 3.184443e-05 4.378609e-05 0.000570546 0.00037151834 0.0018496306 0.0009062394 1.8575916e-05 2.3883322e-05 1.1941661e-05 3.0517578e-05 3.184443e-05 1.1941661e-05 2.122962e-05 6.634256e-06 0.0025568423 0.00025475543 0.00012737772 7.6957374e-05 0.00030384894 0.00020035454 0.0006289275 0.00030517578 0.00015922215 5.44009e-05 3.8478687e-05 7.2976814e-05 0.00027333136 5.8381454e-05 0.00011676291 0.00020698879 0.004726244 0.0004604174 0.0004219387 0.00024281377 0.0013241975 0.00027863876 0.0007616126 0.0007921302 0.00038213315 9.686014e-05 8.889903e-05 0.000160549 0.0003595767 0.00013268512 0.00041795813 0.00022291101 0.0052636187 0.00056125806 0.0005771803 0.0004843007 0.0027956755 0.0005320673 0.0010575004 0.0011742633 0.0022423787 0.0003861137 0.00032773224 0.00076559314 0.001524552 0.00067271356 0.0023870054 0.0037045686 0.051525615 0.008832849 0.00817075 0.008762525 0.019671896 0.017055346 0.005055303 0.012167226 0.03741455 0.004033628 0.0016797937 0.0052131983 0.01752107 0.0049491553 0.013736891 0.026058031 0.038247813 0.0074595576 0.0073096235 0.007276452 0.014595363 0.014257017 0.0064086914 0.010548467 0.027001422 0.0039765732 0.0016187585 0.0044157607 0.013586956 0.004476796 0.010967752 0.020787777 0.028150475 0.028033713 0.02857772 0.028098729 0.028857687 0.028033713 0.028598951 0.02792093 0.028721021 0.028173031 0.02821151 0.028255297 0.02825397 0.028446363 0.028764809 0.028706426 1198.0 6.8489146 8205.0 0.015600244 0.0071907374 0.0068251067 0.0056063375 0.01925655 0.0046313223 0.0056063375 0.0071907374 0.006581353 0.006581353 0.0058500916 0.0073126145 0.007678245 0.005971968 0.0073126145 0.0081657525 0.005971968 0.006337599 0.007556368 0.009140768 0.0058500916 0.005484461 0.0068251067 0.0057282145 0.0081657525 0.01182206 0.005484461 0.011578306 0.0068251067 0.006581353 0.0043875687 0.0057282145 0.012675198 0.013162706 0.008043876 0.012675198 0.0130408285 0.010725168 0.0138939675 0.012309567 0.009262645 0.010725168 0.00865326 0.0057282145 0.011456429 0.0081657525 0.0070688603 0.006581353 0.0138939675 0.009140768 0.008775137 0.016453382 0.009018891 0.008043876 0.009506399 0.014747106 0.0057282145 0.007678245 0.0071907374 0.0067032296 0.007556368 0.006581353 0.009506399 0.01182206 0.007556368 0.01852529 0.008043876 0.014503351 0.013406459 0.04095064 0.013284583 0.00865326 0.010359537 0.022912858 0.007678245 0.0047531994 0.023887873 0.012675198 0.020109689 0.023034735 0.00987203 0.0062157223 0.024253504 0.016087752 0.041560024 0.017428398 0.007434491 0.008531383 0.009993906 0.009993906 0.0073126145 0.0047531994 0.007921998 0.007921998 0.007800122 0.0052407067 6.3822184 0.0 0.0 0.0 4.0 378356.0 241664.0 0.0 0.0 135.0 0.0 1.0 0.0 0.0 0.0 1525089500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 168960.0 1024.0 4096.0 5.0 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 -512.0 0.0 0.0 26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168960.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.4576354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.384035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6768003 0.0 3.2724173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 25776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168645.0 0.0 8336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 198948.0 8336.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 564.0 176128.0 0.0 0.0 0.0 0.0


Input: 0.2962919 0.017946105 0.013898324 0.008221996 0.01076955 0.0066840276 0.02122962 0.0061952746 0.006502868 0.0026173762 0.006836881 0.0025985055 0.002124849 0.0030193236 0.0023607337 0.003928895 0.0065821256 0.0027287137 0.003396739 0.0021569293 0.0016247736 0.002926857 0.0013662439 0.001609677 0.0030853713 0.0020606883 0.0013209541 0.001634209 0.0018568841 0.0009473128 0.0011246981 0.0014492754 0.0071992 0.0012247132 0.0016059028 0.001955012 0.0034533516 0.0012662288 0.0012360356 0.0011114886 0.0060367603 0.0011265852 0.0034514645 0.0014549366 0.0023569595 0.0017247887 0.0023569595 0.00090013584 0.0053630737 0.0014700332 0.0014870169 0.0033174818 0.0014228562 0.0012058424 0.0010945048 0.0011190368 0.0028362772 0.0021814613 0.0022305252 0.003243886 0.0014228562 0.0012171648 0.0014096467 0.0012115036 0.0033155947 0.003051404 0.012156552 0.0024324427 0.0033023853 0.0025683122 0.001196407 0.0014190822 0.03095373 0.003223128 0.0010360054 0.0013832276 0.0028457125 0.001660628 0.0013492602 0.0012511322 0.0032627566 0.0008888134 0.0014700332 0.0034325935 0.0016228865 0.001392663 0.001539855 0.002243735 0.0019493508 0.0012360356 0.0011756491 0.012156552 0.001122811 0.0015341939 0.001343599 0.0028928895 0.0025475544 0.0035703504 0.0014756945 0.0021569293 0.0023078956 0.006714221 0.0017757397 0.0014058726 0.0021173006 0.0036533817 0.0008925876 0.001147343 0.0031646285 0.002489055 0.003511851 0.004829031 0.003911911 0.00075294386 0.0039968295 0.0035250604 0.0071123946 0.003732639 0.0010718598 0.00069255737 0.0027985356 0.0019248188 0.0011850846 0.004636549 0.0007680405 0.0019418026 0.00085107185 0.00057933276 0.006265097 0.0011888586 0.0007548309 0.004695048 0.0016511927 0.003685462 0.0010831824 0.00046044687 0.0014247433 0.0026551178 0.00078691123 0.02018984 0.0010511021 0.0044251964 0.00046422103 0.0004736564 0.004930933 0.0009397645 0.002194671 0.0009454257 0.0017059179 0.0008812651 0.0010888436 0.0007774758 0.0014096467 0.00091145834 0.0007472826 0.000732186 0.00062084844 0.00068689615 0.00047554346 0.0004812047 0.0024116847 0.0014002114 0.0018814161 0.0013379378 0.001734224 0.0014775816 0.0011284723 0.0013586957 0.0018776419 0.0014002114 0.0011869717 0.0012549064 0.0013398249 0.0016776117 0.0010963919 0.00096052233 0.0022116546 0.0006151872 0.0009435387 0.0018266909 0.0013643568 0.00096995773 0.001613451 0.0007774758 0.0022135417 0.0015209843 0.0013096316 0.00078125 0.0008737168 0.0007246377 0.0007208635 0.0006548158 0.004857337 0.0013473732 0.0010341184 0.0030608394 0.002613602 0.000805782 0.0010095864 0.0015266455 0.0023305404 0.0018719807 0.00090391 0.0020795593 0.02611715 0.0008756039 0.0008340882 0.0020531402 0.0023833786 0.00090957124 0.001169988 0.0016587409 0.0010133605 0.0007906854 0.00092089374 0.0012832126 0.0032419988 0.0014587108 0.00086239434 0.0011397947 0.00068689615 0.00047931762 0.00056989735 0.00052083336 0.003051404 0.0008812651 0.0006906703 0.00063594506 0.0009869414 0.00046988224 0.00043591484 0.00056046195 0.010273249 0.0019418026 0.000537817 0.0018776419 0.0020059631 0.0004812047 0.00039251207 0.00055857486 0.0018134813 0.00075105677 0.00051139796 0.002319218 0.00079634663 0.00047931762 0.0036873491 0.004123264 0.0031910478 0.0009963769 0.005181914 0.0022324123 0.007323747 0.0023494111 0.0011058273 0.03807367 0.026945366 2.1764474e-05 3.5958696e-05 2.3657038e-05 1.7033068e-05 1.6086786e-05 2.3657038e-05 2.460332e-05 1.5140504e-05 1.892563e-06 0.0 9.462815e-07 0.0 0.0 0.0 5.677689e-06 0.018476145 3.5958696e-05 5.677689e-06 4.447523e-05 0.0002043968 0.00030470264 6.6239704e-06 2.1764474e-05 1.5140504e-05 1.9871912e-05 3.785126e-06 1.7979348e-05 1.892563e-06 1.892563e-05 9.462815e-07 0.00020155795 0.0017184472 4.7314074e-06 1.0409097e-05 4.7314074e-06 1.892563e-06 0.0 3.785126e-06 3.785126e-06 9.462815e-07 0.0 0.0 0.0 0.0001892563 0.0 0.0 0.0 0.008465434 6.718599e-05 9.6520715e-05 3.5958696e-05 0.0001532976 0.00010692981 3.122729e-05 2.1764474e-05 7.191739e-05 3.6904978e-05 1.9871912e-05 2.8388446e-05 1.4194223e-05 1.7979348e-05 0.00010314468 0.0004192027 0.020184183 0.00034917786 0.00018641746 0.0002450869 0.0005157234 0.00041731013 0.00014194222 0.00010314468 0.00021669846 0.00013721082 0.0001173389 7.286367e-05 0.001260447 0.000100305835 0.0001987191 0.00094722776 0.032109223 0.001173389 0.0003633721 0.00034444645 0.0011118808 0.0010002195 0.00011166122 0.00015519017 0.0002905084 0.00016276042 0.00019588027 0.00012490916 0.0016569389 0.00022710756 0.00032173572 0.0032864357 0.00999084 0.00041257872 0.00072295906 0.0005280251 0.00029334726 0.00031984315 0.00014383478 0.00016938438 0.0005214011 0.0003945994 0.00051950855 0.00035390927 0.00042866552 0.00040122334 0.0003728349 0.0076828594 0.015777351 0.0005706077 0.0008052855 0.00080339296 0.0026543196 0.0020278813 0.011468932 0.00634671 0.00029902495 0.00023183896 0.00023183896 0.00017695464 0.00020818193 0.00014004965 0.00011923147 0.0007740583 0.07815055 0.005096672 0.008266715 0.0059114206 0.004351002 0.0033772786 0.010917249 0.010571857 0.0015925918 0.0010863312 0.0010106286 0.0010106286 0.0009708848 0.0010115749 0.0008024467 0.0034690679 0.058894668 0.004909308 0.0051051886 0.0035353077 0.005967251 0.0054874863 0.0061035156 0.006013619 0.0023041954 0.0010333394 0.00095195917 0.0019446085 0.0010532113 0.0008223186 0.0011781205 0.0070990035 0.05543506 0.0062539745 0.0025805095 0.0041626925 0.005342705 0.0055556186 0.003573159 0.0029552372 0.0035722125 0.0025322493 0.002046807 0.004037783 0.0042175767 0.0021594143 0.0029164397 0.010875613 0.025543923 0.0031577414 0.0021537368 0.0028596628 0.0030479727 0.0028965676 0.0024745262 0.0022549888 0.0020581624 0.0021490052 0.010860473 0.00217834 0.0023713815 0.0022124061 0.0019360919 0.0054884325 0.009908513 0.001973943 0.0011109344 0.0014222611 0.0025454971 0.001496071 0.00094344263 0.00091694674 0.0016635628 0.0006406326 0.0006548268 0.0011951536 0.0035012416 0.0008904509 0.0022814847 0.0037387582 0.034992542 0.006545429 0.008614001 0.007259872 0.039123062 0.011316581 0.0038239234 0.0061971974 0.033278827 0.0040955064 0.0017373728 0.00412768 0.032292802 0.007751938 0.012230689 0.026922654 0.009135402 0.0029864644 0.006054309 0.003197485 0.0057240566 0.0030564892 0.0019550174 0.0020174722 0.003331857 0.0050578746 0.0027659808 0.0020089557 0.0032694025 0.0015509553 0.0017572447 0.0023325838 0.004838337 0.0023713815 0.0024111252 0.0019152737 0.0022597201 0.0019606953 0.002114939 0.0017837406 0.002141435 0.0019748895 0.0019569101 0.001868906 0.002007063 0.0018045588 0.001600162 0.0018745837 1864.0 12.949035 24137.0 0.01711066 0.00024858103 0.0014914861 0.001242905 0.0028586816 0.0005385922 0.00091146375 0.0015743464 0.0043501677 0.00091146375 0.0019886482 0.0005385922 0.0012843353 0.001242905 0.012967643 0.0008700336 0.0037701454 0.002900112 0.002941542 0.0028586816 0.0015329162 0.003148693 0.0016157766 0.0013671956 0.0022786593 0.0019057879 0.0010771845 0.0014086257 0.0055516427 0.0016157766 0.0050959107 0.0013671956 0.0013257654 0.023035174 0.0052202013 0.009156068 0.00969466 0.00973609 0.002900112 0.004598749 0.011641878 0.008948917 0.0009528939 0.001242905 0.004101587 0.0030658324 0.008078883 0.0037701454 0.0047644693 0.00033144135 0.0071674194 0.021377968 0.010688984 0.010316112 0.011890459 0.010523263 0.008244604 0.0007043129 0.0006628827 0.0101918215 0.0045158886 0.010730414 0.010606123 0.024940962 0.0018229275 0.04590463 0.013381945 0.021336537 0.020466505 0.10274682 0.00990181 0.0123047605 0.008866056 0.04192733 0.0018229275 0.0023200894 0.03194266 0.02937399 0.043335956 0.03923437 0.016364917 0.0020715084 0.043253098 0.035174213 0.075485766 0.020052202 0.006545967 0.0017814973 0.0064631063 0.014997722 0.0016986369 0.0013671956 0.00029001117 0.00091146375 0.0007871732 0.00037287152 5.504718 0.0 2.0 0.0 1.0 529920.0 544768.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1533611000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 6.0 0.0 0.0 3.0 2.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -106496.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -384512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4484262 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6334305 0.0 0.0 0.0 -3.9488647 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0663183 0.0 0.0 -3.797655 0.0 0.0 0.0 0.0 0.0 -6.519996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4164.0 0.0 0.0 0.0 -21024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -106272.0 0.0 0.0 -172.0 0.0 0.0 0.0 0.0 0.0 -384200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1100.0 135168.0 13548.0 138576.0 0.0 0.0 10772.0 532480.0 28.0 519296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 136272.0