Input: 0.034690645 0.0034973524 0.003322309 0.0031914029 0.005648026 0.0028638865 0.0027881516 0.0030128488 0.0060858843 0.0028774287 0.0029070205 0.002792164 0.0034211157 0.002782133 0.0026908496 0.002915547 0.002906519 0.0026788122 0.0028347964 0.002790158 0.0040305066 0.0030660138 0.002752541 0.0027229493 0.00282627 0.0028944816 0.0027395007 0.0027510365 0.0027665847 0.0027269619 0.0027520396 0.0027079026 0.0036157195 0.0027309742 0.0026923544 0.16951701 0.0050597005 0.0028413166 0.00271994 0.0026246442 0.002813731 0.002671289 0.002769594 0.002804703 0.0028337932 0.0028839489 0.003878535 0.0064023663 0.0033814928 0.0028117248 0.0028247652 0.0028583696 0.0029010018 0.0028653913 0.0027565537 0.0035204238 0.002898494 0.0026998778 0.002880438 0.0028558618 0.0029581792 0.0029060175 0.002983257 0.0026858342 0.0026823233 0.0032390507 0.0031267023 0.0030855746 0.0047723083 0.005005532 0.002808214 0.002690348 0.0027013824 0.0028709085 0.0029145437 0.0039382204 0.0029847617 0.0030564843 0.0029692135 0.0028192482 0.004198528 0.0026878403 0.0028413166 0.0030675186 0.0029501542 0.0031924061 0.002799186 0.0029511575 0.0027816314 0.0027670863 0.0028468338 0.0027405038 0.0028347964 0.0028202513 0.00278765 0.0028327901 0.00269737 0.006856777 0.0036056885 0.0043424745 0.0037375977 0.008280193 0.0029536653 0.0038078157 0.0031457613 0.00604576 0.0029050142 0.0027209432 0.0063843103 0.0036292616 0.007502781 0.005495553 0.004178466 0.0028322886 0.0060813706 0.007270059 0.0067384094 0.0038389121 0.0029677087 0.0041187806 0.0031126586 0.0029962976 0.0030775496 0.0027610676 0.002822759 0.0028468338 0.0027410053 0.0028448275 0.0024084735 0.0026502237 0.0027304727 0.0034271344 0.0028648898 0.0031522815 0.0031964185 0.002708404 0.0027405038 0.0045932527 0.0027485287 0.0046198354 0.0028493416 0.0029998084 0.0029040112 0.0028277745 0.00274251 0.0025674668 0.0027690926 0.0027766158 0.0027610676 0.0027871486 0.0028423197 0.0027249556 0.0027329805 0.002746021 0.002718937 0.0026898466 0.0026998778 0.0028357995 0.0027319773 0.0026773077 0.0025895354 0.0029090268 0.0026918529 0.0027620706 0.0026602547 0.0028428212 0.002933603 0.002796678 0.00269737 0.0026988746 0.0025950524 0.0026657719 0.002569473 0.0026988746 0.0027480272 0.0026411957 0.0027259586 0.0026968685 0.0026527315 0.0027099089 0.0028031983 0.0028077124 0.0028052046 0.0034346578 0.0029070205 0.00269737 0.0028062076 0.0026326692 0.0027670863 0.0027144228 0.0027555504 0.002701884 0.0027746097 0.0028784317 0.0028924753 0.003125699 0.0027354881 0.0028463323 0.0027008809 0.0040871827 0.0026256475 0.0027359899 0.0027625724 0.0027861453 0.00268132 0.0026677782 0.0028072107 0.002774108 0.0027710986 0.0026968685 0.0028307838 0.002974229 0.0026602547 0.0026858342 0.002671289 0.002724454 0.0027726034 0.002663264 0.002796678 0.0027736065 0.002782133 0.0026998778 0.0027400022 0.0027400022 0.0028237621 0.0028989955 0.002773105 0.002898494 0.002942631 0.002965201 0.002743513 0.0030424406 0.0038123296 0.0030334126 0.0026697842 0.002898494 0.0031873905 0.0028949832 0.002746021 0.0028929769 0.0032485803 0.0030599951 0.0028418181 0.0028322886 0.0031226897 0.0026286568 0.002736993 0.0028563633 0.00347729 0.002800189 0.0027856438 0.0027465224 0.0032019357 0.0027415068 0.0028944816 0.0064068804 0.0 0.0 0.1659815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0036614e-06 1.2545767e-06 2.0073228e-06 1.2545767e-06 7.52746e-07 2.5091535e-07 3.76373e-06 5.0183066e-06 7.0256297e-06 5.269222e-06 8.029291e-06 5.269222e-06 3.010984e-06 2.7098857e-05 0.00044286557 3.286991e-05 4.0146456e-06 0.00080242724 1.3800343e-05 3.010984e-06 2.5091533e-06 0.000110151836 7.9540165e-05 7.0256297e-06 8.029291e-06 6.2728836e-06 6.2728836e-06 4.2655606e-06 3.76373e-06 3.713547e-05 0.0004205341 0.0004235451 6.5237987e-06 1.7564074e-06 7.0256297e-06 2.5091533e-06 5.5201376e-06 6.2728836e-06 6.021968e-06 1.0789359e-05 1.7564074e-06 2.5091533e-06 6.021968e-06 2.0073228e-06 1.0036614e-06 1.7564074e-06 2.8855264e-05 0.00044060734 6.5237987e-06 5.7710527e-06 2.2833296e-05 2.1578719e-05 1.5305835e-05 7.301637e-05 3.8139133e-05 1.6811327e-05 2.3836958e-05 3.0862586e-05 3.186625e-05 3.3622655e-05 2.258238e-05 0.00018040813 0.0010917326 0.0024740254 6.774714e-06 0.00036056535 0.0002780142 0.0001816627 3.7386384e-05 0.00089250586 0.00051262 7.35182e-05 5.018307e-07 0.0 0.0 2.0073228e-06 0.0 2.4840618e-05 0.0002943237 0.0030993063 6.0470597e-05 0.0007213816 0.00038716238 0.00026772666 7.000538e-05 0.0014191772 0.0007933943 7.5776436e-05 1.1040275e-05 1.0287529e-05 1.129119e-05 1.3047597e-05 1.0789359e-05 3.186625e-05 0.00021152163 0.00175164 8.907494e-05 0.00038841696 0.0001979722 0.0002995929 0.00020549966 0.0011660035 0.00063481583 0.0001437745 6.849989e-05 4.8175745e-05 6.197609e-05 8.455847e-05 9.886064e-05 0.00055678113 0.00088472746 0.010571816 0.001040295 0.002566613 0.00077633205 0.0015985817 0.0011080421 0.012849625 0.007268014 0.00022180915 0.00022657655 0.0002501626 0.000598684 0.00028353435 0.00032694268 0.00082977704 0.0011070385 0.0055414652 0.00037812942 0.0011481886 0.0002732468 0.0017052207 0.00029206547 0.00044186192 0.0004631897 0.0019039456 0.00016911695 0.00015682209 0.00012821774 0.00076453906 0.00015807667 0.0008257624 0.0010663902 0.007353074 0.0005447372 0.0018394603 0.0005801163 0.0027001 0.000551261 0.000643096 0.0008174822 0.003313337 0.00025894464 0.00030335665 0.00032142256 0.0013200656 0.00033120826 0.0017323195 0.0020560003 0.0012001281 0.00024263513 0.0003630745 0.0002732468 0.00031414602 0.00021829635 0.00043734544 0.00041601763 0.0005211512 0.00022456923 8.556213e-05 0.000118682954 0.0001701206 0.00010061705 0.00018116088 0.00027199223 0.0003502778 5.971785e-05 8.1045655e-05 4.3659267e-05 5.6205037e-05 8.3052975e-05 0.0001375016 0.00016008399 0.000114166476 8.1798404e-05 6.749623e-05 6.172517e-05 6.724531e-05 5.3695883e-05 6.900172e-05 5.495046e-05 0.05199267 0.043516748 0.04469304 0.04395058 0.044526685 0.044527687 0.05587809 0.0500142 0.043038506 0.04274368 0.042555492 0.04328365 0.043151416 0.04289498 0.0427497 0.042476706 8762.0 54.270943 475522.0 0.0028684267 0.0008811369 0.00086641626 0.7004786 0.001804333 0.0008033277 0.00081594544 0.00079071 0.0011797561 0.00086851924 0.00086221035 0.0009631521 0.0010199317 0.0011019469 0.0045423764 0.016562851 0.0015688023 0.0011082558 0.0009105783 0.0010220348 0.00086221035 0.00089375465 0.00091478415 0.0008243572 0.00086641626 0.00085800444 0.0010325495 0.0008874458 0.0008306661 0.00078019523 0.00079071 0.00067715056 0.0007234155 0.0011902709 0.0017181119 0.0019157894 0.00136061 0.0013353745 0.0012239182 0.0009084753 0.000879034 0.0012470506 0.0009862846 0.0024520422 0.0015120226 0.0014973019 0.0015645964 0.0010514761 0.0036275925 0.0008559015 0.0012891097 0.0019704662 0.0013879484 0.0016213761 0.000967358 0.0012491535 0.00092950487 0.0010409612 0.0010073141 0.00089796056 0.00089796056 0.0009316078 0.00080963655 0.0015709052 0.000834872 0.015961407 0.004624392 0.0068766535 0.0045949505 0.022528926 0.0012912126 0.0050576 0.0021050551 0.013254907 0.0013500953 0.0010073141 0.015692228 0.0038441964 0.019652087 0.011465295 0.0059177075 0.0010725056 0.0139636025 0.01912635 0.015627038 0.0047758045 0.001537258 0.0035014153 0.001583523 0.0019178924 0.002504616 0.00084538676 0.0007949159 0.00078860705 0.0008559015 0.001188168 2.543053 0.0 0.0 2.0 22.0 1993794.0 135168.0 0.0 0.0 124.0 0.0 1.0 0.0 1.0 0.0 1371040300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 22.0 4.0 0.0 4.0 0.0 67584.0 1024.0 4096.0 7.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67584.0 -4096.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.986295 0.0 0.0 0.0 0.0 0.0 -1.2908521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0974135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3445487 -5.217922 5.9277773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196.0 0.0 0.0 -12108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67200.0 -3960.0 31144.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3960.0 90112.0 31144.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 98304.0 0.0 0.0 0.0 0.0 528.0 90820.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.001953125 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.0 0.0 0.001953125 0.001953125 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0030691964 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.003627232 0.00027901787 0.0016741072 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.005859375 0.0008370536 0.0027901786 0.0025111607 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00027901787 0.0011160715 0.00055803574 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024414062 0.03515625 0.03466797 0.03466797 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.026819924 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0 0.0 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.01532567 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.049808428 0.0038314175 0.019157087 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.0038314175 0.057471264 0.011494253 0.038314175 0.03448276 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.019157087 0.0 0.0 0.01532567 0.007662835 0.0 0.0 0.0 0.0 0.0 0.0 5.2506685 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1712968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.059589233 0.0070364787 0.006337509 0.005569743 0.008623607 0.0059378026 0.0055016344 0.0048095444 0.0057988344 0.0048473827 0.0048047286 0.004731117 0.0048446306 0.004744876 0.0050647785 0.006203356 0.005728662 0.004995982 0.005388809 0.004704974 0.004905859 0.0046423697 0.004181435 0.0041497885 0.0045797653 0.003813375 0.003975734 0.0038546529 0.0038931787 0.0035478217 0.0036406966 0.0035670847 0.00394684 0.0035086079 0.0037562742 0.0033262977 0.005126695 0.0034976003 0.0033778949 0.0031508673 0.0038601565 0.0035663967 0.003286396 0.00335588 0.0034755855 0.0033077227 0.0033338654 0.0032595654 0.0035285586 0.0039014344 0.003378583 0.0034453152 0.0034810894 0.0033909662 0.0031377962 0.0030008915 0.0032898358 0.0033180423 0.0034239884 0.0033297376 0.0035024162 0.0034583865 0.003431556 0.0032203516 0.003707429 0.0035072318 0.003597355 0.0034363717 0.0040080682 0.0041965703 0.0031900813 0.0031873293 0.003611114 0.0031432998 0.0034329318 0.0030696879 0.0033373053 0.0032052165 0.0030621202 0.0037528344 0.0034969125 0.00350448 0.0037734732 0.003338681 0.0031604988 0.003377207 0.0031811376 0.0031804498 0.003231359 0.0031247248 0.0031914571 0.0029995157 0.0029637415 0.0031329803 0.0028963212 0.0033290496 0.0030552407 0.003375831 0.003196273 0.0036799104 0.0029259038 0.0037652177 0.0031529313 0.0034453152 0.0029802527 0.0036179938 0.0030366657 0.0032341108 0.0034026615 0.0034019735 0.0032451183 0.0033090988 0.0032079683 0.002793127 0.0033441847 0.0034542587 0.0036936696 0.003304283 0.003051801 0.002977501 0.0030015795 0.003287084 0.0027958788 0.0028619233 0.002862611 0.0028220215 0.0028976973 0.0026589744 0.0032822683 0.002793127 0.0027222668 0.0038298862 0.0030586803 0.003634505 0.0027855595 0.002665854 0.0028935694 0.0041339654 0.0029988277 0.0040816804 0.0030002038 0.0034067894 0.0028275251 0.002936911 0.0036551438 0.0027807436 0.0028392205 0.0028233973 0.0031887053 0.0035375021 0.0029155842 0.0029843806 0.002974061 0.0030132749 0.0029341592 0.003066936 0.0031790738 0.0029850684 0.0030607444 0.002865363 0.0028770585 0.0028247733 0.0030965183 0.003030474 0.002956862 0.0028151418 0.0027642325 0.0028378444 0.0028006947 0.0028942574 0.0028715546 0.0026060012 0.0031536191 0.0029087046 0.0029087046 0.002664478 0.0026507187 0.002701628 0.0026864929 0.0027766158 0.002899761 0.002974749 0.0029066408 0.003047673 0.0029946999 0.0027284585 0.0029871324 0.0026300799 0.0030277222 0.0032299832 0.0029644296 0.0030180907 0.0035134235 0.00288669 0.002995388 0.0031439879 0.0030875748 0.0029981397 0.0032788285 0.004087184 0.0027511613 0.0027958788 0.0027071317 0.0031618748 0.0029830046 0.0027841835 0.0031281647 0.0031309165 0.0027841835 0.0029286556 0.003212096 0.0027635447 0.002571603 0.0028894418 0.0032850201 0.0028529798 0.0030800072 0.0027291465 0.0029609897 0.0030057074 0.0028619233 0.002718139 0.0030249702 0.0031013342 0.003029786 0.0028550436 0.0030972064 0.003084135 0.0030050194 0.0027951908 0.0028502278 0.0034542587 0.0027332744 0.002954798 0.002537893 0.003338681 0.003119909 0.0027484095 0.0025674754 0.0034184847 0.0031261006 0.002941727 0.0033455607 0.002921776 0.0025784827 0.002882562 0.0027649205 0.0034157329 0.0026204484 0.0030407934 0.002881874 0.002919024 0.0029073288 0.0030504249 0.0032038405 0.08495853 0.005611791 1.3773802e-06 0.0 6.886901e-07 0.0 0.0 0.0 1.3773802e-06 1.7217251e-06 0.0 0.0 0.0 1.8594632e-05 0.0 1.0330351e-06 5.1651755e-06 0.0013505212 2.0660702e-06 6.886901e-07 3.4434504e-07 1.0330351e-06 1.3773802e-06 1.3773802e-06 3.0991052e-06 1.3773802e-06 1.0330351e-06 3.4434504e-07 2.4104152e-06 4.2010095e-05 6.886901e-07 6.886901e-07 1.3773802e-06 0.0012888834 7.919935e-06 4.8208303e-06 3.4434502e-06 7.2312455e-06 2.0660702e-06 1.3773802e-06 3.4434502e-06 6.1982105e-06 6.886901e-07 2.0660702e-06 1.7217251e-06 1.7217251e-06 1.7217251e-06 2.0660702e-06 7.506722e-05 0.002308489 6.163776e-05 2.2726772e-05 5.8538653e-06 6.8869003e-06 2.0660702e-06 4.1321405e-06 2.4104152e-06 7.5755906e-06 1.7217251e-06 1.3773802e-06 3.0991052e-06 2.7547603e-06 2.0660702e-06 3.4434502e-06 0.0003846334 0.0017058853 6.5425556e-06 8.264281e-06 8.608626e-06 7.5755906e-06 1.5151181e-05 1.5495527e-05 1.6528562e-05 1.4118146e-05 3.8566643e-05 3.753361e-05 0.00013291718 6.8869003e-06 2.0660702e-06 5.1651755e-06 9.435054e-05 0.001070913 6.8869003e-06 4.8208303e-06 4.8208303e-06 1.790594e-05 3.7877953e-06 3.959968e-05 3.4434502e-06 4.1321405e-06 5.337348e-05 3.7877953e-06 7.506722e-05 2.4104152e-06 5.9916034e-05 5.8538655e-05 1.0330351e-06 0.0023969857 4.3387474e-05 5.1651754e-05 1.7217251e-05 8.918536e-05 2.9613673e-05 0.00012809635 0.00011363386 5.543955e-05 3.9944025e-05 1.4118146e-05 1.9627667e-05 2.4448496e-05 3.959968e-05 5.3717824e-05 0.00040942623 0.0053242627 0.0015082313 0.00034365634 0.00013670497 0.00015771002 0.00010054875 0.00013291718 9.228447e-05 5.0963063e-05 2.7203258e-05 2.4104153e-05 2.7203258e-05 3.581188e-05 1.5495527e-05 1.1707731e-05 0.001884256 0.005616612 0.00066699635 0.00026514567 0.0001515118 0.00033057123 0.00029200458 0.0005444095 0.00033401468 0.00012120945 0.00019558797 8.64306e-05 8.4708874e-05 0.0001322285 3.167974e-05 3.6156227e-05 0.0009837938 0.005191001 0.0015726237 0.00082332897 0.0003877325 0.0004786396 0.0002248573 0.0005151402 0.0003157644 0.00021693736 0.00010950172 0.00014634663 0.00026411263 0.00020867308 0.00013085111 0.00029785844 0.0025157847 0.01406615 0.0061172894 0.0032936602 0.0031989652 0.002738576 0.0025071763 0.0038170647 0.0023078003 0.0005172062 0.00065804337 0.0006597651 0.0007575591 0.0007768424 0.0010278699 0.001392187 0.016107427 0.01302003 0.004543977 0.0031941445 0.0037361435 0.0035285035 0.0023511879 0.002217582 0.0013098884 0.0009441941 0.001138749 0.0011404707 0.001129796 0.0014245554 0.0013715263 0.0013918426 0.017500991 0.025997706 0.012017986 0.0074654003 0.0059705987 0.0054595903 0.004882124 0.0039034951 0.0026583436 0.005137972 0.004025049 0.002965155 0.0026190884 0.0040395116 0.0028835454 0.0022947153 0.033913855 0.013218373 0.003489937 0.0031958662 0.0021735057 0.0032089513 0.0021173775 0.0016328841 0.0018233069 0.004613879 0.00251303 0.0016979653 0.00203198 0.0027836852 0.0022203368 0.002279564 0.014469034 0.00182434 0.00047381877 0.0006198211 0.0004641771 0.00062119844 0.0006270523 0.0005075646 0.0004927577 0.00075618166 0.00065838767 0.000558872 0.0004428277 0.0005561172 0.00035019888 0.00032092957 0.0020092533 0.043615084 0.03911725 0.03789517 0.03803222 0.03884315 0.038776692 0.039403748 0.039580394 0.038655486 0.039391004 0.038720567 0.03867993 0.03942682 0.03868062 0.03948811 0.03933832 4910.0 8.209165 40307.0 0.017664425 0.0059046815 0.007145161 0.0048130597 0.0056565856 0.005755824 0.0058550625 0.004738631 0.00843526 0.008658546 0.0087825935 0.0058550625 0.0064504924 0.010271169 0.011263552 0.010816979 0.008857022 0.0150346095 0.007740591 0.0068722554 0.00779021 0.008658546 0.009055499 0.009452453 0.008360831 0.0064504924 0.009551691 0.009477262 0.007666162 0.0065745404 0.0070707323 0.006301635 0.005631776 0.008385641 0.010047883 0.01560523 0.008658546 0.013397177 0.0071947803 0.008236783 0.00721959 0.010420026 0.006773017 0.00781502 0.00843526 0.010444836 0.010320788 0.0060783485 0.012355174 0.015853325 0.01200784 0.010047883 0.009427642 0.010420026 0.009229166 0.010370407 0.00779021 0.009650929 0.011337981 0.0057310145 0.005160394 0.006847446 0.008708165 0.015853325 0.0065001114 0.017813284 0.011586077 0.016448757 0.01443918 0.035006326 0.009948644 0.014091845 0.0117845535 0.027861165 0.0074924952 0.00781502 0.018383903 0.010023073 0.019525144 0.022551915 0.013818939 0.005805443 0.023370631 0.019177811 0.029622646 0.014141465 0.012379983 0.009799787 0.00900588 0.010271169 0.005259632 0.0076413527 0.0064504924 0.005210013 0.0044161063 0.003919915 6.42243 1.0 0.0 0.0 26.0 1453568.0 1478656.0 0.0 0.0 262.0 0.0 1.0 0.0 1.0 0.0 196608.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 24.0 4.0 0.0 4.0 0.0 107008.0 1024.0 4096.0 9.0 1.0 0.0 2.0 7.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 942080.0 0.0 0.0 0.0 0.0 0.0 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 -56320.0 -19968.0 432640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8050417 0.0 0.0 0.0 0.0 0.0 -1.6935279 0.0 0.0 0.0 0.0 0.0 7.909111 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.010375 -10.688853 6.4448137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 941576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1044.0 0.0 0.0 -100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55832.0 -19128.0 434176.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 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 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12292.0 1019904.0 354336.0 1044480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1040388.0 0.0 0.0 0.0 0.0 1092.0 1021236.0 0.0 0.0 0.0 0.0


Input: 0.24149816 0.03007238 0.036000688 0.020099955 0.02193819 0.00881204 0.028779872 0.011575138 0.0107421875 0.0071289064 0.016888786 0.0057157627 0.005290671 0.0034409468 0.003481158 0.0019588694 0.004107307 0.012293198 0.007737822 0.006169577 0.0029641544 0.0022575827 0.008898208 0.0049804687 0.0037683824 0.0018841912 0.0014361213 0.0022116269 0.0020622702 0.0032456343 0.002521829 0.0045496323 0.0075712316 0.0011488971 0.0010110295 0.0007467831 0.0010167739 0.0023265164 0.003383502 0.000792739 0.0107134655 0.0009880515 0.007398897 0.0033547794 0.0036707262 0.0032398896 0.0063763787 0.0013556986 0.0055951285 0.004796645 0.0046587777 0.003056066 0.0025850183 0.003113511 0.0021312041 0.001763557 0.0031537225 0.0022977942 0.0010914522 0.0010110295 0.0018152574 0.0015912225 0.00094784005 0.0010340074 0.0010857077 0.0067612594 0.0027745864 0.007622932 0.0038085938 0.005531939 0.0018841912 0.0016314338 0.00580193 0.004107307 0.00083295035 0.0017463235 0.0049057906 0.002935432 0.0019990809 0.0012350644 0.0027860755 0.000792739 0.0030388327 0.009702436 0.0055606617 0.0012063419 0.0045496323 0.0026826747 0.0031996784 0.0018267463 0.00078699447 0.00060891546 0.0005974265 0.00075252756 0.0006778493 0.01439568 0.0010799633 0.009587546 0.0022633271 0.0058766087 0.0049172794 0.019577205 0.0024471506 0.0054859836 0.0029871324 0.012212776 0.0012350644 0.0016199448 0.0061006434 0.0036534925 0.009501379 0.021335019 0.006238511 0.001005285 0.012419577 0.010558364 0.014522059 0.00390625 0.0021369485 0.0011086856 0.001585478 0.0033547794 0.0024241728 0.010018382 0.00085018383 0.0039981618 0.0012695312 0.00042509192 0.0054859836 0.0034581802 0.00049402576 0.0007410386 0.00045381434 0.00043658089 0.0028952206 0.00040211398 0.0004997702 0.0006261489 0.0005457261 0.0004308364 0.00076976104 0.0015050551 0.0024931065 0.0005859375 0.0007467831 0.0017807904 0.00040785846 0.00073529413 0.0003504136 0.0011546415 0.00065487134 0.00045955883 0.00047679228 0.00045955883 0.000591682 0.0003159467 0.001528033 0.00043658089 0.00056870404 0.00060891546 0.0006261489 0.00057444855 0.00041360295 0.00044806986 0.0004653033 0.0004710478 0.00045381434 0.00036190258 0.00079848344 0.00071806065 0.00040785846 0.000591682 0.00055721507 0.00052274816 0.000390625 0.00045381434 0.0006433824 0.00047679228 0.00033892464 0.00049402576 0.0012350644 0.00045955883 0.00037913604 0.00031020222 0.0006606158 0.0004710478 0.0005112592 0.00048828125 0.00048253677 0.00041360295 0.00036190258 0.00033318016 0.0015337776 0.0014820772 0.0003963695 0.00043658089 0.0011431526 0.00052274816 0.0012465533 0.00026424634 0.00041360295 0.0002814798 0.00032743567 0.00043658089 0.000390625 0.00053998164 0.00042509192 0.00047679228 0.0006318934 0.0004997702 0.0012063419 0.0006663603 0.00053998164 0.00037913604 0.0002757353 0.00036764707 0.00037339155 0.00050551473 0.00033318016 0.0004997702 0.00083295035 0.0004710478 0.001171875 0.00057444855 0.00050551473 0.00036190258 0.0002814798 0.000792739 0.0005112592 0.0004653033 0.00036190258 0.00031020222 0.001551011 0.0005112592 0.00080422795 0.00031020222 0.0004308364 0.00033892464 0.00026424634 0.00032743567 0.00044232537 0.0005170037 0.00031020222 0.0005629596 0.00048828125 0.00045955883 0.00021829044 0.0004710478 0.0011431526 0.0008272059 0.00025275737 0.0005170037 0.00040211398 0.00041934743 0.0010225184 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004827917 2.8892382e-05 0.00010979105 0.0020600269 0.0080407495 0.007581361 0.00071653107 0.00021091438 8.667715e-06 2.8892382e-06 2.3113906e-05 2.6003143e-05 1.1556953e-05 5.7784764e-06 5.7784764e-06 8.667715e-06 0.03315112 0.0022362703 0.002051359 0.004559218 0.017000277 0.014177492 0.05961654 0.030201206 0.00048539203 0.00025136373 0.00044494268 0.00027736687 0.00028603457 0.00030337 0.0003322624 0.00030625926 0.12474575 0.015682785 0.016410872 0.01244106 0.011753421 0.010173008 0.02013799 0.015824357 0.0023980676 0.0012394831 0.0009621163 0.0006876387 0.000860993 0.0014157267 0.0008032082 0.0011499168 0.18198155 0.033477604 0.026370076 0.011883437 0.009733844 0.010482156 0.020189997 0.021357248 0.007410896 0.004270294 0.0024847449 0.0025800897 0.0025974251 0.0036780003 0.0020802515 0.0026176497 0.04212798 0.009511372 0.004099829 0.0041229427 0.0022015995 0.0024963017 0.002753444 0.0027852256 0.0031752728 0.001771103 0.0011845876 0.0010199011 0.0016786474 0.0011007998 0.0010719073 0.0017393214 0.05170003 0.005948941 0.0027158838 0.0038195727 0.004524547 0.0047874674 0.005327755 0.0039004716 0.004827917 0.003007697 0.0020686944 0.0021062547 0.004053601 0.0021900425 0.002863235 0.0026667668 0.008242996 0.0024298492 0.0018577802 0.0010979105 0.0008349898 0.0019993528 0.00067030324 0.0010227903 0.002135147 0.00044205345 0.00048539203 0.00082343287 0.00040449333 0.00039004715 0.00050272746 0.00032937314 0.004839474 0.0020600269 0.0015486317 0.00079165125 0.000788762 0.0017075398 0.0007569804 0.0007483127 0.0014735115 0.00032937314 0.0006356324 0.000557623 0.0004622781 0.0002947023 0.00050272746 0.00025425295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1714.0 18.050175 30938.0 0.0005818088 0.00012929084 0.0 0.00016161356 9.696813e-05 6.464542e-05 0.0 0.0 3.232271e-05 6.464542e-05 9.696813e-05 0.00016161356 9.696813e-05 0.00012929084 0.003232271 6.464542e-05 0.0058504106 0.008209968 0.013446247 0.0061736377 0.005753442 0.009115004 0.0077574505 0.0029736892 0.008209968 0.0033615618 0.0 0.0 0.00051716337 0.0003232271 0.00048484065 6.464542e-05 6.464542e-05 0.030803543 0.01073114 0.035748918 0.016775487 0.02327235 0.0059473785 0.0037494344 0.025728878 0.015902773 3.232271e-05 0.004783761 0.017066391 0.009567522 0.00501002 0.0023918806 0.008048355 6.464542e-05 0.011312949 0.046577025 0.023078416 0.0024242033 0.0029413665 0.01002004 0.00084039045 0.00012929084 0.00022625897 0.0 0.0 0.0 0.0 0.06997867 0.00012929084 0.03982158 0.0046544704 0.02252893 0.016678518 0.09021268 0.0071756416 0.017098714 0.008985713 0.04150236 0.00045251794 0.0049776975 0.024145065 0.012961406 0.035554983 0.032904517 0.011991725 0.001002004 0.040565003 0.028831858 0.06257676 0.012347275 0.005591829 0.0010989722 0.0029736892 0.011119012 0.00155149 0.00016161356 0.0 0.0 3.232271e-05 0.0 5.2698293 0.0 0.0 0.0 1.0 174080.0 196608.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3470615600.0 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 172032.0 512.0 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 -172032.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0378437 0.0 3.2582421 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 -171812.0 0.0 972.0 0.0 0.0 0.0 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 79.0 179916.0 972.0 180224.0 0.0 0.0 0.0 0.0 12.0 188416.0 56.0 179816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.10921082 0.008154155 0.0047603864 0.003913842 0.0064155124 0.0033254374 0.0033766855 0.0035313792 0.008401854 0.0029031143 0.0028148536 0.0030957696 0.0062627173 0.0028376307 0.0024276453 0.0069574146 0.005853681 0.0026155552 0.0023887346 0.0024181549 0.0040656887 0.0029050123 0.002471301 0.0022482765 0.0034023095 0.0024067662 0.0022122131 0.0022701044 0.0030796358 0.0021315445 0.002240684 0.002280544 0.004368433 0.0023849383 0.0024039191 0.0023877856 0.0038986576 0.0023678555 0.002238786 0.002285289 0.0027190004 0.0022663083 0.0023223017 0.0031005146 0.0026639563 0.0031821323 0.0023317921 0.002141984 0.0036481111 0.0027389303 0.0028319363 0.0050280155 0.0030644513 0.0027787902 0.0026886312 0.0027171024 0.0034222393 0.0032333804 0.0030075088 0.0043665348 0.0032419218 0.0031289859 0.0026734467 0.003927129 0.00436084 0.0030691964 0.003389023 0.0030720436 0.0030986166 0.014014479 0.0062456345 0.00445005 0.0033795326 0.0022691553 0.002421951 0.0022027227 0.002707612 0.010213572 0.002447575 0.004097956 0.0067154095 0.0040903636 0.0030245916 0.0031878264 0.0027711978 0.0074490174 0.0039499057 0.0034943665 0.0025965744 0.0038293777 0.0021249014 0.0024826895 0.0024826895 0.0043076943 0.0029714452 0.003060655 0.0025443772 0.0032058582 0.0023270468 0.0025984724 0.003529481 0.0038929635 0.004003052 0.0023631104 0.0034744367 0.0030217443 0.004346605 0.0024067662 0.0034231886 0.0024143585 0.0029695472 0.0030217443 0.0030862791 0.002188487 0.0036623466 0.003459252 0.0071187513 0.008115244 0.0026886312 0.002421951 0.002684835 0.0024826895 0.002309015 0.0021438822 0.002519702 0.003502908 0.0023944287 0.0025956254 0.003578831 0.0026487715 0.0022473275 0.009976312 0.003626283 0.0067429314 0.0022539708 0.0021808946 0.003274189 0.011538432 0.002965751 0.026861638 0.002611759 0.009455289 0.002141984 0.0020594175 0.0026668033 0.002066061 0.0020907358 0.0022501745 0.0025301415 0.0028433248 0.0020888378 0.0020859907 0.0024134095 0.002236888 0.0020556212 0.0020850417 0.0024181549 0.0022682063 0.0020546722 0.0022273976 0.0032153486 0.0027607584 0.0022207543 0.0023801932 0.002473199 0.0020821944 0.0019863413 0.0020565705 0.002636434 0.0020821944 0.0020385387 0.00204708 0.002469403 0.0021457803 0.0019673605 0.0020859907 0.0026857841 0.0021258504 0.0020451818 0.0020271502 0.0024627596 0.002239735 0.0030226936 0.0026203003 0.003315947 0.0023346392 0.0022103149 0.0021125637 0.002775943 0.0024902818 0.002358365 0.0024105625 0.0063196598 0.003672786 0.0034136982 0.004332369 0.004473776 0.0025035683 0.003740168 0.004872373 0.0036661427 0.0031194955 0.00228434 0.0026003704 0.010826652 0.0021799456 0.0025377339 0.002517804 0.0032039601 0.0025472243 0.0026098609 0.0021799456 0.0027360832 0.0020840925 0.0024352374 0.0021002262 0.0035161944 0.0023593144 0.0021733025 0.0024304923 0.002819599 0.0024124605 0.002074602 0.0021733025 0.003574086 0.0023270468 0.0021676081 0.0020926339 0.0032030111 0.0029069106 0.0021723532 0.002074602 0.012304308 0.0036898688 0.0021372389 0.004723374 0.006023559 0.0020499271 0.0021552707 0.0023279958 0.0052102315 0.0023612124 0.0023393845 0.002258716 0.003925231 0.0020802964 0.0033368259 0.002875592 0.0049008443 0.0026297907 0.0024390337 0.0023659575 0.0064620157 0.0033140488 0.0049112835 0.03147587 0.026245592 9.499635e-07 1.899927e-06 4.7498176e-07 9.499635e-07 9.499635e-07 9.499635e-07 1.4249453e-06 2.3749087e-06 2.3749087e-06 1.4249453e-06 4.7498176e-07 9.499635e-07 4.7498176e-07 9.499635e-07 2.3749087e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00091149 2.8498905e-06 2.8498905e-06 2.3749087e-06 4.7498174e-06 4.2748356e-06 5.224799e-06 3.3248723e-06 4.7498174e-06 4.2748356e-06 3.799854e-06 5.699781e-06 4.2748356e-06 4.7498174e-06 2.8498905e-06 5.224799e-06 0.0008483174 4.7498174e-06 8.549671e-06 4.2748356e-06 3.4198685e-05 4.2748356e-06 9.499635e-07 1.6149379e-05 2.3749087e-06 2.8498905e-06 2.8498905e-06 3.3248723e-06 6.174763e-06 4.7498176e-07 2.8498905e-06 3.0398833e-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 0.0015816892 4.7023193e-05 4.369832e-05 8.0746895e-06 5.367294e-05 2.422407e-05 5.3197957e-05 2.0424215e-05 1.092458e-05 1.5674397e-05 1.092458e-05 7.599708e-06 1.7099343e-05 9.499635e-07 9.024653e-06 4.1323412e-05 0.0066250456 0.00012254529 0.00023844084 3.847352e-05 0.00050205574 0.00013726973 0.0006977482 0.00031633786 3.9423485e-05 0.00017431831 3.4198685e-05 4.4173303e-05 4.037345e-05 2.2324142e-05 4.4173303e-05 0.00065072504 0.011383888 0.0002892639 0.0007058229 0.00013489481 0.0012705763 0.0002469905 0.000963738 0.00051488023 0.00010544595 0.00017479328 6.4597516e-05 0.00014724434 8.359679e-05 7.124726e-05 0.00011019577 0.0012425523 0.006410829 0.00021374179 0.00051440526 0.00020091729 0.00080556906 0.00015816893 0.0013389736 0.00075759593 8.882159e-05 4.9398102e-05 0.000104021005 0.00013346988 0.00010212108 6.364755e-05 0.00014724434 0.00058422756 0.0071503753 0.0002892639 0.0006906235 0.00031443793 0.001640587 0.0005357794 0.0024860546 0.0012145283 9.784624e-05 8.929657e-05 0.00024841545 0.00022039154 0.00014154456 7.02973e-05 0.00011114573 0.00026361487 0.005603835 0.00022039154 0.0006127265 0.0004531326 0.001771207 0.00064170035 0.0026133496 0.0015052172 0.00017241838 0.00016529365 0.00014344449 0.000120170385 0.000130145 0.00010497097 0.000106870895 0.0002265663 0.004894212 0.00081934355 0.0011390062 0.008768164 0.0015194666 0.00082694326 0.0013327989 0.0010463848 0.0009100651 0.00070629787 0.0006269759 0.00063220074 0.00068064884 0.00063125073 0.00063837547 0.001092458 0.011849845 0.0012572767 0.0011660802 0.0018856776 0.0053169457 0.0030289588 0.0013213992 0.0013465732 0.010277655 0.0009689628 0.00074382144 0.0010069613 0.0038597018 0.0011694051 0.0032569498 0.008936781 0.037883595 0.005828501 0.0039964966 0.004932211 0.017203365 0.012798384 0.004720844 0.0075089866 0.031810954 0.002163067 0.0024485309 0.0037675553 0.017764319 0.0038858259 0.012653039 0.023241332 0.026226118 0.0060821413 0.0038706264 0.0053478195 0.011255642 0.01028288 0.00417224 0.009084976 0.020094104 0.0017047095 0.0020604709 0.0030916564 0.0101209115 0.0038150535 0.008945332 0.016841428 0.030384583 0.029837403 0.030090094 0.030288637 0.030110994 0.029889178 0.02985403 0.030073944 0.03062445 0.03017844 0.030179866 0.030085819 0.030144718 0.030045921 0.0299438 0.029785631 3789.0 9.218791 34930.0 0.023618666 0.003950759 0.004466075 0.004523332 0.013054681 0.005382193 0.00458059 0.0067849983 0.007386201 0.004981391 0.0051531633 0.00609791 0.0065273405 0.00850272 0.009619239 0.005382193 0.015373604 0.012024048 0.011880904 0.010105927 0.013255081 0.011451474 0.011709132 0.011022044 0.014886917 0.012711137 0.014199828 0.011823648 0.01545949 0.010621242 0.011909533 0.018121958 0.027626682 0.009962782 0.005095906 0.007872889 0.009075293 0.006842256 0.0068995133 0.0065273405 0.0075579733 0.0058975094 0.004466075 0.0051531633 0.008101918 0.005725737 0.005639851 0.005754366 0.01285428 0.0054967077 0.0058116233 0.00893215 0.008731749 0.006470083 0.01153736 0.009304323 0.007300315 0.0056971083 0.0046092183 0.0052963067 0.007271686 0.0049527627 0.0056112222 0.014400229 0.0071571716 0.024363011 0.010793014 0.016289722 0.019295733 0.03509877 0.008789007 0.008559977 0.009848268 0.021385629 0.0065273405 0.0055253366 0.017263098 0.010563985 0.019095333 0.027197251 0.012310335 0.004551961 0.025765818 0.021213856 0.037131406 0.012281707 0.008531349 0.0053535644 0.009189808 0.008359577 0.0052390494 0.00392213 0.005926138 0.0048668766 0.003950759 0.0046092183 6.340551 0.0 0.0 0.0 9.0 1053696.0 1069056.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541678700.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5802526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.58048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4158845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.52356 0.0 3.4436426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395784.0 0.0 6080.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1022104.0 6080.0 1040384.0 0.0 0.0 0.0 0.0 18540.0 1048576.0 28.0 462176.0 0.0 0.0 0.0 0.0 24.0 462368.0 64.0 462208.0 0.0 0.0 328.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.1771599 0.010246563 0.03081617 0.006653961 0.01088736 0.00756348 0.0051201805 0.0045207245 0.0081464 0.0093701165 0.0052524745 0.003051024 0.00446698 0.0045186575 0.0041011055 0.003234995 0.0023068718 0.0014841702 0.0015441158 0.002288268 0.0026624112 0.0023874883 0.0014986398 0.0013518765 0.0013663461 0.0012650588 0.0022820667 0.002337878 0.002358549 0.0013477423 0.0028753215 0.0014304259 0.002404025 0.0018603805 0.0018893197 0.0019720034 0.0032184583 0.0063831722 0.0022820667 0.0031357748 0.0029456024 0.00210223 0.0013477423 0.0013870171 0.002290335 0.0022386578 0.0016516044 0.0015792564 0.00823115 0.002191115 0.011344187 0.002935267 0.0025983315 0.0023978238 0.0025755935 0.0018727831 0.0016226652 0.0019596007 0.0015523842 0.0028112417 0.004301613 0.0025053124 0.0014717677 0.0016908792 0.004783245 0.0018335084 0.002590063 0.0016474703 0.0050416314 0.0027616315 0.0058664 0.0046798903 0.0029332 0.0023626832 0.0022117856 0.0014490297 0.0031337077 0.0020939617 0.003627742 0.0023482137 0.0057423743 0.0014262918 0.0012650588 0.002104297 0.0013498095 0.0029063278 0.0050498997 0.0018190388 0.0012133815 0.0019327287 0.0011472347 0.0013477423 0.0011906435 0.0014800361 0.0017900994 0.0013001993 0.0017012146 0.0016309336 0.0014407614 0.0027202896 0.0027719669 0.0025466543 0.0015585854 0.0013539436 0.0019306615 0.0022076515 0.0017694286 0.0030303532 0.0030365544 0.0015151766 0.0025755935 0.0023275428 0.0016516044 0.0015131094 0.0023420122 0.002424696 0.0032680684 0.003462375 0.004163118 0.0014655665 0.0014862373 0.0017487577 0.0013746145 0.0020650225 0.0035264546 0.0017032817 0.0013601448 0.0014366271 0.0022758655 0.0023688846 0.0018810515 0.0051263818 0.0015544513 0.0023440795 0.001362212 0.0020216135 0.003627742 0.0035553938 0.0029993467 0.004967216 0.004421504 0.003354886 0.0038509876 0.001409755 0.0019533995 0.0018996552 0.0016309336 0.002472239 0.0021373704 0.002060888 0.0020071438 0.0029704075 0.0019616678 0.0016578058 0.0023234086 0.002077425 0.0031171709 0.0039584762 0.0021146324 0.0020732908 0.0016929463 0.0019761375 0.0016309336 0.001316736 0.0011534359 0.003305276 0.0010790207 0.0027471618 0.0016557387 0.0022345237 0.0010934903 0.0025177149 0.0021166997 0.0010976245 0.0015668538 0.0012154486 0.0018169716 0.0027409606 0.0013105347 0.0011761739 0.0019885402 0.0012423208 0.0011679055 0.0029228644 0.00480805 0.004274741 0.0019988755 0.0033218127 0.0012919309 0.0012733272 0.0019968085 0.0013374069 0.0037848407 0.0029621392 0.0036690838 0.0024515681 0.004037026 0.0028753215 0.0021849135 0.0024825744 0.0031564457 0.0033404166 0.002331677 0.0017280867 0.005645221 0.052311834 0.0036380775 0.026119743 0.0017570261 0.0030799634 0.0012464549 0.003609138 0.0027161555 0.0014717677 0.0017032817 0.0012381866 0.0030096823 0.0018459109 0.001847978 0.0014655665 0.0015647868 0.004384297 0.0016350677 0.0014862373 0.0038551218 0.005401305 0.001318803 0.0030572254 0.0018996552 0.0022758655 0.0017735627 0.0083820475 0.013446417 0.010048122 0.0024908427 0.0036484129 0.0023068718 0.002749229 0.0018004349 0.005895339 0.009926164 0.002122901 0.0015027741 0.0018149045 0.002036083 0.0020174794 0.0029001264 0.0019947414 0.0024681047 0.002013345 0.0018955211 0.0017218855 0.005144986 0.0018459109 0.0029456024 0.015728483 0.014922123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.044585988 0.0 0.0 0.006309299 3.1100717e-06 4.1467624e-06 2.0733812e-06 0.0 0.0 4.1467624e-06 1.0366906e-06 2.0733812e-06 4.1467624e-06 6.2201434e-06 1.1403596e-05 3.1100717e-06 0.0020526473 1.2440287e-05 6.2201434e-06 1.0366905e-05 1.2440287e-05 6.2201434e-06 9.330215e-06 7.2568337e-06 1.1403596e-05 1.3476977e-05 1.1403596e-05 5.1834527e-06 1.2440287e-05 1.3476977e-05 9.330215e-06 9.330215e-06 0.0019676387 1.0366905e-05 9.330215e-06 1.4513667e-05 0.0039518643 1.0366906e-06 5.1834527e-06 4.1467624e-06 6.2201434e-06 3.1100717e-06 8.293525e-06 6.2201434e-06 0.0 0.0 4.1467624e-06 1.1403596e-05 2.4880574e-05 4.3541004e-05 5.287122e-05 0.0022465084 0.0034988306 1.9697121e-05 1.9697121e-05 4.4577693e-05 8.0861864e-05 6.842158e-05 0.00019489782 0.00014409999 2.1770502e-05 2.1770502e-05 2.073381e-05 2.6953954e-05 2.1770502e-05 2.1770502e-05 2.073381e-05 1.9697121e-05 0.0016866955 4.146762e-05 1.3476977e-05 1.0366905e-05 7.5678414e-05 1.1403596e-05 1.4513667e-05 1.7623739e-05 2.4880574e-05 1.5550359e-05 2.9027335e-05 7.2568337e-06 6.945827e-05 1.658705e-05 4.9761147e-05 3.9394243e-05 0.004556255 6.323813e-05 5.598129e-05 0.0001648338 7.153165e-05 2.1770502e-05 0.0001637971 2.5917263e-05 1.0366905e-05 1.1403596e-05 3.5247478e-05 4.9761147e-05 0.0007598942 2.3843882e-05 0.0010138834 0.0014648438 0.004136395 9.019208e-05 9.9522294e-05 6.7384884e-05 0.00013684315 5.0797837e-05 0.00023947551 0.0001202561 5.598129e-05 5.9091362e-05 9.330215e-06 0.000304787 0.00045718055 7.2568337e-06 0.00041156614 0.00012336618 0.03671647 0.001041874 0.0012626891 0.0023812782 0.0012512855 0.00064585824 0.0027254594 0.00083764596 0.0015270452 0.0011445064 0.0002840532 0.0018784833 0.004837198 0.00058469345 0.0058510816 0.00072464667 0.040719133 0.0015498524 0.0020992984 0.0024839106 0.0017779242 0.0014679538 0.00274101 0.0016545581 0.0015488156 0.0018670796 0.00040119924 0.001993556 0.0037237925 0.0006147575 0.007773106 0.0018940336 0.054989178 0.0028934034 0.0039021033 0.004111515 0.0023263337 0.0034604731 0.003862709 0.0033516206 0.0014669171 0.0025917264 0.0019012905 0.0023812782 0.0056655137 0.0019344646 0.012122023 0.0034428493 0.08238165 0.0036232334 0.00562923 0.007021505 0.002589653 0.0073211086 0.005869742 0.008127654 0.004221404 0.005122288 0.0053016357 0.004704502 0.00998955 0.005868705 0.01699032 0.009951193 0.0030914112 0.00044163017 0.00054633594 0.00054633594 0.0010138834 0.00030375033 0.0004706575 0.0003628417 0.0012689092 0.00057743664 0.00042504314 0.00072049996 0.0040451665 0.00083142583 0.0014555135 0.000884297 0.015235204 0.0031867868 0.0040182127 0.0046350434 0.009349912 0.0016390077 0.0011880473 0.0021677199 0.008926942 0.002110702 0.001346661 0.002445553 0.00783116 0.0043945312 0.0045676585 0.0055131204 0.014908647 0.0040876707 0.007150055 0.01678091 0.017063927 0.0040679737 0.0029877422 0.004575952 0.014223394 0.009393453 0.0048931795 0.0065135267 0.022800973 0.0057712565 0.006016952 0.011630631 0.013656325 0.01375481 0.013907203 0.013860553 0.013645958 0.014000506 0.013644921 0.013634554 0.01389891 0.013532959 0.0137517005 0.013668765 0.01419955 0.013969406 0.014153936 0.013526739 1819.0 6.9037933 12558.0 0.018076127 0.004937092 0.004140787 0.00613155 0.0043000476 0.03081701 0.005255614 0.01568721 0.009953815 0.007485268 0.002787068 0.0046982 0.0043796785 0.004937092 0.0078037903 0.002946329 0.05685619 0.0100334445 0.08432872 0.008679726 0.009874184 0.008998248 0.012183469 0.010192706 0.0040611564 0.0050167223 0.0050167223 0.0070074853 0.012024208 0.011626055 0.0046982 0.0053352444 0.009953815 0.007485268 0.00931677 0.007963051 0.015289059 0.007166746 0.019987259 0.0066093327 0.011307533 0.008281574 0.0078037903 0.0031852205 0.011387164 0.006370441 0.010989011 0.0054945056 0.023809524 0.0034241122 0.006370441 0.011068641 0.0058130277 0.009635292 0.016881669 0.006370441 0.002627807 0.0062111802 0.0025481766 0.003583373 0.0043000476 0.0043000476 0.004777831 0.0030259595 0.0050167223 0.016961299 0.0053352444 0.016324256 0.016324256 0.028905876 0.007564899 0.006688963 0.0067685936 0.016164994 0.0036630037 0.006688963 0.017996496 0.007963051 0.017837236 0.018155757 0.008361204 0.0039815255 0.019509476 0.012740882 0.02333174 0.010192706 0.014970536 0.0039815255 0.0054148748 0.008520465 0.0039018951 0.00915751 0.013457557 0.0039815255 0.0028666984 0.0036630037 6.1288743 0.0 0.0 0.0 5.0 483772.0 528384.0 1.0 0.0 62.0 0.0 1.0 0.0 0.0 0.0 1489160700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 49152.0 8192.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.021158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.828218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5441804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6626.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -456888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46986.0 0.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 62552.0 16.0 524288.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 57600.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 62384.0 0.0 0.0 252.0 57344.0 0.0 0.0 0.0 0.0