Input: 0.47125065 0.0029160082 0.0020725082 0.0022149866 0.0024740058 0.0017871964 0.0019961172 0.002214276 0.0028954004 0.0016905528 0.0014638667 0.0018742468 0.002685769 0.0019186601 0.0019875898 0.0031501558 0.0022071698 0.0015637081 0.0013526555 0.001897697 0.0017136477 0.0016404544 0.0016489818 0.001867496 0.0019215026 0.0019730222 0.0015381259 0.001830544 0.0020796144 0.0019840368 0.0019325172 0.0023198023 0.0018440456 0.001408794 0.0013992006 0.0017744054 0.0018337417 0.0015054377 0.001655022 0.0020312925 0.001569393 0.0014578265 0.0014240722 0.0019058691 0.0016386779 0.0019325172 0.001696593 0.002089563 0.0017143585 0.0016372567 0.0017957238 0.002299905 0.0016763405 0.0014553393 0.0017068969 0.0018461775 0.0021325552 0.0018863272 0.0020717976 0.0022359497 0.0022053933 0.0020661128 0.002210723 0.0025887701 0.0021453463 0.0019417552 0.0017939473 0.0019861686 0.0015764991 0.0041038007 0.0017875517 0.0022043274 0.0016305059 0.001551983 0.0015711695 0.0016486265 0.0017040545 0.0035800778 0.0019932748 0.0021471228 0.0024022337 0.0019293193 0.001620202 0.0018543495 0.0015715248 0.00298174 0.0020359117 0.002272191 0.0015566018 0.0020010916 0.0015402577 0.0019211473 0.0017953685 0.0022252905 0.0028069287 0.0034511012 0.0016322824 0.0017719181 0.0014439694 0.0019826156 0.002156716 0.0021655988 0.00195881 0.0021140792 0.0020817462 0.001990077 0.0019573886 0.0017328344 0.0020657575 0.0019861686 0.001975154 0.0023716772 0.0020408859 0.0018934334 0.0025383164 0.0021282916 0.003112493 0.0028008886 0.001978707 0.0019200814 0.0021641776 0.0021186983 0.001966982 0.0019364256 0.0022494514 0.002296352 0.0023404101 0.0021666647 0.002038754 0.0018788658 0.0015175181 0.0034589178 0.0016646154 0.0024867968 0.0016102534 0.001940334 0.0016067002 0.0038174232 0.0015889349 0.007636623 0.0018291227 0.003007322 0.0020174356 0.0020682446 0.0018632322 0.0016404544 0.0014645773 0.0019815497 0.0016649707 0.0019367809 0.0015072142 0.0018863272 0.0015100567 0.0016450734 0.0014524969 0.0017587718 0.001959876 0.0019730222 0.0019858133 0.0021105262 0.0017758266 0.0019293193 0.0014436141 0.0020916949 0.0015804075 0.0015921326 0.0015402577 0.002002868 0.001578631 0.0015217818 0.0014144789 0.0018955652 0.0015669058 0.0017044098 0.0019261217 0.002121896 0.0016269528 0.0015743673 0.0016273081 0.0017580612 0.0019197261 0.0016830914 0.0021368188 0.0019580992 0.0019826156 0.0017644567 0.0018628769 0.0018461775 0.0020821015 0.0020312925 0.0021556502 0.0022199608 0.002549331 0.0022114336 0.0019509932 0.0023677687 0.001994696 0.0018038959 0.002176258 0.0028460126 0.0020856548 0.0021307787 0.0019740881 0.0017783138 0.0041897856 0.0016525349 0.0020185015 0.0020273842 0.0022995498 0.0020625596 0.0018952099 0.0019861686 0.001793592 0.0017793797 0.0016280187 0.0020103294 0.0019122646 0.0018291227 0.0019858133 0.0019769305 0.0019158177 0.0019211473 0.0018777999 0.0020792591 0.002462636 0.0020426626 0.0017903942 0.0020504792 0.002306656 0.002272191 0.0016372567 0.0020469262 0.0041332915 0.0024139588 0.0020458603 0.0023858894 0.002742618 0.0020394647 0.0019232791 0.002035201 0.0029131656 0.0020153038 0.0023396995 0.0019072903 0.0026797287 0.0020248971 0.0020625596 0.0022043274 0.0027891635 0.0022231587 0.0024711632 0.0019282534 0.0031096507 0.0022494514 0.0027127722 0.007776614 0.44630507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00030075424 1.7775074e-05 1.2442551e-06 2.1330088e-06 6.7545275e-06 1.4220059e-06 2.1330088e-06 2.4885103e-06 2.1330088e-06 2.4885103e-06 1.7775072e-06 5.865774e-06 1.1553798e-05 1.2442551e-06 2.1330088e-06 2.1330088e-06 0.00030182075 4.79927e-06 4.2660176e-06 3.910516e-06 5.1547713e-06 4.4437684e-06 4.4437684e-06 3.3772637e-06 4.088267e-06 3.7327652e-06 4.2660176e-06 3.199513e-06 3.910516e-06 3.199513e-06 4.088267e-06 5.332522e-06 0.0015140807 1.5464313e-05 9.598539e-05 3.2883883e-05 2.5596104e-05 3.181738e-05 0.00029506622 0.00041007093 6.7545275e-06 2.5773856e-05 1.2975803e-05 3.0217623e-06 2.666261e-06 2.666261e-06 4.088267e-06 6.9322785e-05 0.003604607 6.701203e-05 0.00016637468 2.1507838e-05 0.00026431534 0.00021045686 0.00030679777 0.00020014732 5.421397e-05 0.0001215815 3.8216407e-05 2.5596104e-05 3.3239387e-05 1.8841578e-05 3.661665e-05 0.00029097794 0.0018642496 5.7591235e-05 0.00011980399 3.8216407e-05 0.00011678223 0.00016104216 0.00024867326 0.000310886 2.8084614e-05 2.8973369e-05 1.31535535e-05 1.9908082e-05 1.6175316e-05 3.1106378e-05 2.6484859e-05 0.0001951703 0.0027144314 0.00016210867 0.00018788251 8.869761e-05 0.00020210257 0.00030644226 0.00044739858 0.00026289333 8.123208e-05 0.00017775073 4.1771422e-05 5.2436466e-05 8.318734e-05 6.4168016e-05 7.32333e-05 0.00015073262 0.002065819 8.140983e-05 0.00023729722 0.00015588739 0.00035532372 0.00046055214 0.0009788732 0.0005474723 5.4924974e-05 4.159367e-05 4.7814945e-05 6.914503e-05 9.7940654e-05 0.00013402406 4.4793185e-05 8.763111e-05 0.0012444329 0.000118381984 9.9718156e-05 0.000113049464 0.00017935048 0.00019463705 0.00035958973 0.00024902876 0.00012833603 0.00017917274 4.3193428e-05 4.7459445e-05 0.000111449706 3.0217623e-05 4.0171664e-05 0.00013811231 0.0026061812 0.00037718704 0.00013544605 0.00022467691 0.0013729467 0.0009369241 0.00030110974 0.00021507838 0.0024911764 0.00014735536 0.00014006757 0.00016868544 0.0010131792 0.00022858744 0.0008260076 0.0015565631 0.011550954 0.0015585184 0.0010401972 0.0013681473 0.0046796435 0.0041856742 0.0015377216 0.001779107 0.008753334 0.00060008647 0.00075064134 0.0011047208 0.0050566527 0.0011614233 0.0035887873 0.0062534483 0.0039750393 0.00083134015 0.00062905985 0.0008316957 0.001076103 0.0017533331 0.00075224106 0.0011176965 0.0025828958 0.00022023315 0.0003055535 0.00048099348 0.0015140807 0.0006750973 0.0012709177 0.002369595 0.026498724 0.026190681 0.024418328 0.028649328 0.02508916 0.02573475 0.026111582 0.03050949 0.026001198 0.026804455 0.026299287 0.028263254 0.027828122 0.0286184 0.030425591 0.032310106 5789.0 6.9877353 40452.0 0.015969545 0.0067981808 0.0053643826 0.007688124 0.011074854 0.0071442695 0.007935331 0.0098141 0.007416197 0.0067240186 0.00791061 0.00791061 0.0066498565 0.007984772 0.0112973405 0.009245525 0.007960051 0.006847622 0.009665777 0.00751508 0.0066745775 0.0064520915 0.00828142 0.008133096 0.009294967 0.008825274 0.0098141 0.009097202 0.009641056 0.008355582 0.009319687 0.012113121 0.022322753 0.010456838 0.006575695 0.009591615 0.0068723424 0.0069959457 0.009566894 0.0098882625 0.007613962 0.007119549 0.0064520915 0.006897063 0.00751508 0.008207258 0.008602789 0.008825274 0.011025413 0.0067734597 0.0074409177 0.009542174 0.009097202 0.008083655 0.011445664 0.011816474 0.009220805 0.008256699 0.0077622863 0.008405023 0.0077128448 0.008924157 0.009665777 0.015227924 0.008306141 0.01957876 0.010283793 0.016266191 0.015277366 0.026228616 0.009591615 0.012014239 0.009245525 0.018911302 0.008380302 0.0068723424 0.017156135 0.0121872835 0.01774943 0.025116187 0.013695244 0.008330861 0.020493424 0.019405715 0.028305152 0.013522199 0.010308513 0.007787007 0.011149016 0.011544547 0.0077128448 0.0089735985 0.008825274 0.0094432905 0.009987146 0.0085286265 6.474408 0.0 0.0 0.0 19.0 2814464.0 2830336.0 1.0 0.0 74.0 0.0 1.0 0.0 1.0 0.0 1542539500.0 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 15.0 6.0 0.0 6.0 0.0 1993216.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1993216.0 0.0 729600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6329885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3672643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7198586 0.0 7.956085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1993098.0 0.0 729200.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 2080004.0 729200.0 2097152.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 2060320.0 0.0 0.0 0.0 0.0 24.0 2060512.0 64.0 2060352.0 0.0 0.0 300.0 1998848.0 0.0 0.0 0.0 0.0


Input: 0.056675613 0.008301544 0.006174642 0.005649647 0.0057573384 0.0049714 0.004196851 0.005415626 0.0050438843 0.0056289374 0.0037412345 0.0044577955 0.004947583 0.003176891 0.0043273233 0.0046390067 0.0050376714 0.0037598733 0.0049289446 0.0041554314 0.004356317 0.0031820685 0.0041098697 0.0038447839 0.00507702 0.0033498183 0.0031696428 0.0029366568 0.0041492186 0.0034492256 0.0037826542 0.0037950801 0.006166358 0.0038147545 0.003481326 0.0030153543 0.0048823473 0.0041595735 0.0038364998 0.0037215601 0.0047228816 0.0038882745 0.0033353216 0.0030930163 0.0043677078 0.0037246668 0.0037225957 0.0035848753 0.00551814 0.0039555817 0.0030992292 0.00290145 0.0036677145 0.0030681645 0.0026891741 0.0028652078 0.0041782125 0.0033187536 0.0035123907 0.0033518893 0.0039980365 0.0032255594 0.0035072132 0.0034626871 0.0065960875 0.003954546 0.0036190464 0.0032152045 0.0041543962 0.0032214173 0.0035486328 0.0030702355 0.0050024646 0.0037722993 0.0037101698 0.0035848753 0.0041295444 0.0031292585 0.003558988 0.0034657936 0.005174356 0.003628366 0.0036563242 0.003328073 0.003924517 0.0033788122 0.0033612088 0.003529994 0.004631758 0.0036501111 0.0038085415 0.0035051422 0.0041098697 0.0033912382 0.0036987793 0.0037878316 0.005915769 0.0036356144 0.0033518893 0.0029542602 0.0040083914 0.0030578095 0.0032638726 0.0030319223 0.0049714 0.0031686071 0.0032100268 0.00304849 0.0035786622 0.0028393206 0.0030847322 0.0031924236 0.004500251 0.0032907953 0.0032307368 0.0031458263 0.0038944874 0.0033456765 0.003291831 0.003628366 0.0046214033 0.0033001148 0.0034802905 0.0031655007 0.0040373853 0.0032007075 0.003464758 0.00334257 0.008648434 0.004598622 0.00401564 0.003527923 0.0043759914 0.0034378353 0.0030122478 0.003387096 0.004534422 0.0038354644 0.0029552956 0.0031965654 0.0037350217 0.0028103269 0.0028496755 0.002977041 0.005236486 0.0032069203 0.0034927162 0.0030267448 0.003670821 0.0031862105 0.0033032212 0.0032680144 0.004545812 0.0028372495 0.0030433126 0.002703671 0.0035165327 0.0032317722 0.0029822185 0.0031686071 0.0050024646 0.003407806 0.003281476 0.0027927235 0.0037691928 0.0030163897 0.0030660934 0.0031799977 0.004136793 0.0029977509 0.003128223 0.0030143189 0.0036407919 0.0028434626 0.002915947 0.0030391705 0.004672142 0.0031137262 0.0038385708 0.002856924 0.003569343 0.0031541104 0.002999822 0.00312201 0.004249661 0.0031489327 0.0033228956 0.0031706782 0.0036501111 0.0031862105 0.0033249666 0.0033549957 0.0067130984 0.0040653436 0.0037174183 0.0033373924 0.0041129766 0.0032586951 0.0033032212 0.0032390207 0.0043407846 0.0033249666 0.0031168326 0.0030795548 0.0036501111 0.0029822185 0.0030712709 0.0028020428 0.004248626 0.003275263 0.0030857679 0.0029956799 0.0037143116 0.0030288156 0.0029397632 0.0029552956 0.0039762915 0.003107513 0.0027254163 0.0026394704 0.0035289587 0.0029470117 0.0035828042 0.0028879887 0.0049548317 0.0032348786 0.0033860607 0.002979112 0.0038126835 0.003075413 0.003193459 0.002899379 0.0044474406 0.005459117 0.003464758 0.0031416845 0.0037857608 0.003073342 0.0032390207 0.003189317 0.004614155 0.0033187536 0.0034160898 0.0030370997 0.003744341 0.0030878386 0.0033125407 0.003252482 0.0043552816 0.0030308866 0.003183104 0.0028579594 0.0040104627 0.0030940517 0.0042165257 0.0045147473 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099158935 0.062037118 0.06240877 0.05532351 0.06061737 0.059559945 0.054983474 0.05450038 0.060486745 0.05319363 0.052136205 0.05294897 0.056427587 0.050558362 0.05663959 0.053817715 4025.0 5.704099 22959.0 0.01711747 0.010496973 0.009364519 0.008624069 0.013415218 0.012456989 0.011760094 0.011542315 0.012631212 0.009756522 0.008493401 0.008580513 0.013850777 0.010584084 0.01180365 0.009887191 0.016769024 0.011847205 0.008754737 0.007535171 0.009800078 0.008493401 0.007796507 0.008319178 0.010235637 0.00840629 0.009582299 0.008841849 0.011542315 0.009016072 0.009800078 0.009277408 0.0180757 0.010888976 0.010409861 0.009103184 0.010801864 0.008885404 0.0106711965 0.008362734 0.01424278 0.011585871 0.009756522 0.008972516 0.011411647 0.009364519 0.011629426 0.009582299 0.014765452 0.009582299 0.009974302 0.0090596285 0.012152097 0.009364519 0.009625855 0.009756522 0.013632998 0.009190296 0.010584084 0.009538743 0.011106756 0.009843634 0.010409861 0.0106711965 0.017901476 0.010976088 0.009712966 0.00818851 0.013110328 0.0082320655 0.009364519 0.008319178 0.01541879 0.009277408 0.008885404 0.008667625 0.011324535 0.007970731 0.009887191 0.007970731 0.013197439 0.007927175 0.008754737 0.008754737 0.011542315 0.009538743 0.008319178 0.007970731 0.010976088 0.008841849 0.011977874 0.008536957 0.011237423 0.0090596285 0.009974302 0.008798293 6.554753 0.0 0.0 0.0 14.0 965724.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.15184925 0.011534845 0.0048013064 0.0056411168 0.012995312 0.0026206432 0.0038008946 0.003851919 0.013312332 0.0019180131 0.0014529389 0.0013048847 0.007255493 0.0055708536 0.0027310567 0.019586653 0.037589878 0.0035357354 0.0015491323 0.0013943863 0.0027753892 0.009544896 0.0035717033 0.0019732197 0.002342937 0.00078042137 0.00039648416 0.0010765299 0.0016662373 0.00059472624 0.00054955715 0.00083981035 0.0041990518 0.0007369252 0.00092178385 0.0014328636 0.0036854625 0.0034830382 0.0002969449 0.0006390589 0.0013375067 0.00047260243 0.00033793165 0.001449593 0.0009928833 0.0005303185 0.00042576043 0.0003864466 0.0015851002 0.00037055378 0.0005629406 0.007208651 0.00092011096 0.00053282786 0.00046591074 0.00046256487 0.0009318215 0.0006056003 0.00089418056 0.002506884 0.0010505994 0.001001248 0.00032371175 0.0004307792 0.003077353 0.0025361604 0.0023755592 0.002389779 0.0021145823 0.028807838 0.0041195876 0.0022216497 0.0016377975 0.0010740204 0.0021438585 0.0008339551 0.0011978172 0.017400134 0.0022542719 0.0014186437 0.013423583 0.002477608 0.0011350823 0.0029786502 0.0027327295 0.0043320497 0.004081947 0.0030355297 0.00097615406 0.0023847602 0.0002659957 0.0019138308 0.00081722584 0.005015441 0.0031133208 0.003088227 0.00080551533 0.0017038782 0.00042826982 0.0011041331 0.0071567902 0.0039723697 0.0013751476 0.00058134284 0.0064181923 0.0019180131 0.006012507 0.00034545985 0.0054972447 0.0006708445 0.001836876 0.0018218197 0.0019991503 0.00042994274 0.00281303 0.0022082662 0.008145492 0.008889944 0.0011794149 0.0011518116 0.0015365853 0.0008958535 0.00037975487 0.00037724548 0.001084058 0.0023630122 0.0011936348 0.0006189837 0.0021547326 0.0011049696 0.0002643228 0.011397665 0.0025963858 0.008707595 0.00041572287 0.00041823226 0.0012187287 0.015758991 0.0008674137 0.043768004 0.00086323137 0.025946293 0.00036302558 0.00029778137 0.0010263419 0.00030530954 0.00029025317 0.00051860797 0.0011334094 0.0004190687 0.00024341117 0.00021246198 0.0008749419 0.00046340135 0.00018987744 0.0003605162 0.00071434065 0.00041154053 0.00025261228 0.00028439792 0.0011526481 0.003914654 0.00024675703 0.0019840938 0.0009811729 0.0003370952 0.00024675703 0.00021915369 0.0013232868 0.00048682233 0.00035047863 0.00033876812 0.00086574076 0.0002659957 0.00023337359 0.00031785652 0.001330815 0.0002802156 0.0002517758 0.00027603327 0.0010037574 0.0006306942 0.0004918411 0.0007528181 0.0032981795 0.0009301485 0.00043245216 0.0003228753 0.001012122 0.00039899358 0.00035298802 0.00041823226 0.006480927 0.004807998 0.0028899848 0.0039916085 0.0040610353 0.0020284264 0.0094988905 0.014185602 0.0047561373 0.0020376276 0.00072605116 0.0014546118 0.033768073 0.0009853552 0.0020660674 0.0016679103 0.002838124 0.0007101584 0.0010556182 0.0005746511 0.0017523931 0.0002308642 0.0007193595 0.0005855251 0.0030982646 0.00085904903 0.0004976964 0.0012078547 0.0025779835 0.00039062893 0.00041321345 0.0005370102 0.0038761764 0.00048013063 0.00037975487 0.0004148864 0.0036904814 0.0026925793 0.00029610842 0.00033291287 0.015031267 0.0077481708 0.00030029076 0.002430766 0.008726834 0.00025261228 0.00033291287 0.00042994274 0.009812565 0.0027461129 0.002364685 0.0010079397 0.0056871222 0.0012471685 0.0021564055 0.0027636788 0.0027486223 0.0022818751 0.0021329846 0.008380538 0.014106974 0.0021530597 0.0034462337 0.060921382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016135058 0.00015326838 8.375321e-05 5.862725e-06 0.00025754113 0.00020017018 1.0469152e-05 1.2562982e-05 5.9464783e-05 1.7588176e-05 1.0469152e-05 4.1876606e-06 2.9313626e-06 6.281491e-06 3.7688947e-06 0.00013107379 0.025766676 0.0023555593 0.0015707916 0.00030193035 0.0013907221 0.0011000985 0.0056650676 0.0028861358 0.00020352032 0.0003484134 9.8828794e-05 0.00016708767 0.0002579599 0.00023074012 0.00029062366 0.0019627565 0.022511609 0.0037018922 0.0016093181 0.00050670694 0.001476988 0.0010439839 0.004107258 0.0025339536 0.00030653676 0.0003915463 0.00050796324 0.00032077482 0.00012730488 0.00025419102 0.00020561414 0.0015607412 0.0062915417 0.00062144885 0.000839626 0.00023492778 0.0008140813 0.00062312395 0.001718616 0.0010343522 7.8309255e-05 9.7991266e-05 8.500952e-05 6.2814914e-05 4.4389206e-05 4.81581e-05 4.1039075e-05 0.00022906504 0.005018074 0.00065369386 0.0006666756 0.00027094164 0.0006955705 0.0005222013 0.0015058828 0.00093887356 8.626581e-05 0.00014908072 9.966633e-05 0.00011809204 8.877841e-05 9.422237e-05 8.333445e-05 0.0001578748 0.004904588 0.0008379509 0.00065076246 0.00030444295 0.00048660618 0.00051759486 0.001521796 0.00087899 0.0003245437 0.00023492778 0.00018635091 0.00020645167 0.00030695554 0.00016122495 0.0001666689 0.00031700594 0.02140774 0.0056437105 0.00087731495 0.0012877057 0.005546138 0.0036579217 0.0022542179 0.0021327757 0.009574668 0.000481581 0.0010230455 0.00087187096 0.007952368 0.0012357787 0.003114782 0.010125345 0.14881146 0.050121695 0.012781997 0.015000201 0.058720216 0.039943583 0.022233967 0.021907747 0.09558964 0.0051889303 0.010113619 0.008957826 0.07955341 0.013842732 0.038552023 0.099950254 0.0134771485 0.006059545 0.00218219 0.0019497749 0.006289029 0.0042169746 0.0026654461 0.0029732392 0.01006253 0.0007864427 0.0011499317 0.0014795006 0.0071609 0.002191403 0.0050130486 0.00952986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 689.0 12.332366 8497.0 0.05625515 0.0008238202 0.00058844296 0.0023537718 0.014946451 0.0030599034 0.00058844296 0.003177592 0.0042367894 0.0022360834 0.0015299517 0.0024714605 0.004589855 0.012239614 0.009768154 0.0014122631 0.007179004 0.004119101 0.0050606094 0.0044721668 0.0070613157 0.003177592 0.002000706 0.0011768859 0.0035306579 0.0030599034 0.013298811 0.005766741 0.0056490526 0.00035306579 0.00070613157 0.00070613157 0.0038837236 0.008238202 0.0022360834 0.012239614 0.010709662 0.0064728726 0.007649759 0.0025891492 0.0044721668 0.0081205135 0.0023537718 0.002000706 0.0070613157 0.0048252326 0.00670825 0.0034129692 0.018594798 0.0134165 0.010238908 0.018947864 0.00917971 0.004589855 0.01930093 0.015299518 0.0038837236 0.00058844296 0.0014122631 0.0017653289 0.002000706 0.0021183947 0.0023537718 0.003177592 0.0008238202 0.04107332 0.008002824 0.023184653 0.024832293 0.07708603 0.01082735 0.011415794 0.011886548 0.037542664 0.006119807 0.0027068376 0.026715312 0.01000353 0.046016242 0.048134636 0.01259268 0.0038837236 0.039307993 0.026833 0.06472873 0.029186772 0.00670825 0.004119101 0.0068259384 0.007885136 0.0012945746 0.00047075437 0.00058844296 0.00035306579 0.00070613157 0.00070613157 5.6433907 1.0 0.0 0.0 2.0 1195508.0 1617920.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1515418600.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 12.0 5.0 1.0 5.0 1.0 1039360.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -86528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 456704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1039360.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.528927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.36366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 456300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1039100.0 0.0 1584.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176452.0 1308048.0 680.0 1484500.0 1584.0 1523712.0 0.0 0.0 14816.0 1597440.0 86380.0 1527808.0 84.0 1142992.0 0.0 0.0 0.0 0.0 24.0 1143076.0 64.0 1049712.0 0.0 0.0 3316.0 1044480.0 128.0 1302820.0 0.0 0.0


Input: 0.09903001 0.01113341 0.014723098 0.0076572057 0.012453412 0.0053218175 0.006749331 0.0051784692 0.0060206424 0.0041810013 0.014770881 0.0044915904 0.005214306 0.00470064 0.0047305045 0.0042586485 0.005835484 0.0052083335 0.004539373 0.0042228117 0.0042407303 0.0041332184 0.004378106 0.0037748471 0.005142632 0.0040675174 0.003733037 0.0027355696 0.003912223 0.0026400038 0.004109327 0.0038943044 0.013241829 0.0043124044 0.0037449829 0.003960006 0.0031297782 0.0030222668 0.0033029912 0.0025026281 0.0060445336 0.0036255256 0.0039659785 0.0033448013 0.0038883314 0.0028490538 0.0038465215 0.002550411 0.0053755734 0.004246703 0.0040675174 0.0035478785 0.0039002772 0.0029625383 0.0026459766 0.0026041667 0.0041332184 0.003350774 0.0033029912 0.002669868 0.0035359326 0.002980457 0.0028371082 0.0028968367 0.005913131 0.0053218175 0.005172496 0.004879826 0.004246703 0.0036972 0.0035299598 0.0032790997 0.004455753 0.0037987386 0.0033029912 0.0032193712 0.0035956614 0.0031238054 0.0028550269 0.0023831709 0.0046827216 0.0030043481 0.00382263 0.0042347573 0.004276567 0.0028371082 0.0027773795 0.002251768 0.0036912272 0.0023891437 0.0028729453 0.0026280582 0.0029505924 0.001988962 0.0022935779 0.0044676987 0.0044617257 0.006402905 0.004497563 0.0044676987 0.003912223 0.009060828 0.0027116782 0.0031835341 0.0040436257 0.004915663 0.0029446196 0.002759461 0.005656298 0.0041810013 0.0048320433 0.011706804 0.006056479 0.0029924025 0.0073346714 0.007215214 0.008320193 0.0038106842 0.0023652522 0.0022338494 0.0044318615 0.0031238054 0.0024488724 0.00797974 0.0031656155 0.0028251624 0.0019650706 0.0022278766 0.0070360284 0.005088876 0.0037151184 0.0040555713 0.004103354 0.003440367 0.0039659785 0.0034523127 0.0039241686 0.0028132168 0.0033567469 0.0029625383 0.003482177 0.0029565655 0.0028669725 0.0029386468 0.0044438075 0.0030282396 0.0026161124 0.0025802753 0.0033388285 0.0027116782 0.0024847095 0.0018993693 0.0031476968 0.0020725823 0.0023652522 0.001953125 0.0028729453 0.002126338 0.0019710436 0.0016843464 0.004873853 0.0034702313 0.0032133984 0.0026220852 0.0030282396 0.0023592794 0.0024309538 0.0023592794 0.0035777427 0.0024369266 0.002424981 0.002042718 0.0034045298 0.0021024465 0.0021562022 0.001529052 0.0038823585 0.0024787367 0.0025623566 0.002251768 0.0030640769 0.0021920393 0.002377198 0.0016783734 0.0032014525 0.002078555 0.001953125 0.0018515864 0.0021980123 0.0020068807 0.0017381021 0.001612672 0.005041093 0.003350774 0.003350774 0.0036314984 0.0032193712 0.0029744839 0.0026579225 0.0025683295 0.0035359326 0.002586248 0.0023533066 0.001785885 0.003058104 0.0021800937 0.0021084193 0.0020188265 0.0036255256 0.0024428994 0.0022219038 0.0021980123 0.0024130351 0.0019590978 0.001994935 0.0016246177 0.0027116782 0.0022457952 0.0021323108 0.0016425364 0.0021741209 0.0017679663 0.0017381021 0.0013916763 0.003858467 0.0031297782 0.0027415424 0.0026758409 0.0025981937 0.0016007263 0.0018635321 0.0018814506 0.0026758409 0.001779912 0.0019232607 0.0015947535 0.0023055237 0.0016724006 0.001785885 0.0015051606 0.0038345756 0.0023413608 0.0019232607 0.0018635321 0.0022816323 0.0016246177 0.0020546636 0.001779912 0.0027833525 0.0015589163 0.0018097764 0.0014991877 0.0021442566 0.0020307722 0.0033806383 0.006426797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024513528 0.0017903646 0.0023087866 0.0010971258 0.0019591532 0.0016276041 0.0086865835 0.006787712 0.00013261959 2.7126736e-05 6.0281636e-05 5.4253473e-05 3.616898e-05 0.00014166185 3.3154898e-05 0.00012659143 0.06216845 0.0064260224 0.006561656 0.00272473 0.0045874324 0.0026614342 0.014060692 0.0144434795 0.0011483652 0.0006419994 0.00034963348 0.00050937984 0.00021701389 0.00016878858 0.00013261959 0.0004822531 0.023060739 0.0028513214 0.002432364 0.0010639708 0.0017210407 0.0016547309 0.0073905285 0.0055157696 0.0010187597 0.00032250676 0.00037676023 0.00044307002 0.00040690103 0.00047321085 0.00034360532 0.00030743633 0.0033064478 0.0007022811 0.00028633777 0.00013563369 0.0001657745 0.00017180266 0.00013563369 0.00028633777 7.233796e-05 0.0001989294 0.000105492865 7.836612e-05 0.00010247878 0.00025318286 9.343654e-05 7.836612e-05 0.009834949 0.0014075761 0.0045422213 0.0012689284 0.0010187597 0.0020947868 0.0049069254 0.00287242 0.0007143374 0.00035264756 0.0002983941 0.00029538 0.0004460841 0.0003104504 0.00027729553 0.00022304205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011091821 0.00020495756 0.0009765625 0.0003827884 0.00032853492 0.00043402778 0.0007655768 0.0005123939 0.00024414062 0.00015673225 0.00013563369 0.00015070409 0.00022002797 0.00011754919 0.00025318286 0.0001808449 0.08201317 0.053698882 0.050344206 0.04863221 0.053442683 0.04294765 0.043628834 0.038113065 0.057364006 0.039972752 0.043083284 0.035912786 0.04540413 0.033130787 0.034770448 0.038281854 1370.0 10.5167885 14408.0 0.05330372 0.004164353 0.0051360354 0.0032620765 0.0027068295 0.0021515824 0.0033314824 0.002429206 0.005830094 0.0067323707 0.005830094 0.004303165 0.0057606883 0.0035397 0.011660188 0.0038867295 0.0082593 0.009716824 0.008189894 0.0062465295 0.0061077178 0.0045113824 0.002915047 0.0036785118 0.002984453 0.0049972236 0.0074958354 0.0038867295 0.0063159354 0.007842865 0.004164353 0.0033314824 0.0068711825 0.011451971 0.014644641 0.014644641 0.008467518 0.005968906 0.0049972236 0.0056218766 0.0067323707 0.010827318 0.0061077178 0.008398112 0.0057606883 0.008467518 0.0036785118 0.0045807883 0.009716824 0.006038312 0.010272071 0.016588006 0.010549694 0.005968906 0.004094947 0.0031232648 0.0038867295 0.004303165 0.0052054413 0.005274847 0.005968906 0.0027762353 0.0028456412 0.031093836 0.0045113824 0.0318573 0.014436424 0.018184341 0.012354247 0.06683787 0.0062465295 0.014228206 0.008814547 0.028525818 0.0056912825 0.008120488 0.027692948 0.01922543 0.028387006 0.03727096 0.011937812 0.0024986118 0.03220433 0.030955024 0.054900054 0.018947806 0.004650194 0.0047196 0.0094392 0.011660188 0.0031232648 0.0030538589 0.004233759 0.0020127706 0.0020821765 0.0015963353 5.979603 1.0 0.0 0.0 5.0 167424.0 196608.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541314000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 -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 6.0 0.0 164864.0 512.0 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 -164864.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 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 -7.555189 0.0 4.243889 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 -164604.0 0.0 1452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 172708.0 1452.0 180224.0 0.0 0.0 0.0 0.0 12.0 188416.0 28.0 172396.0 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: 0.1888962 0.011660709 0.016215375 0.007356696 0.011060205 0.0038784356 0.0030554156 0.0033634652 0.012007507 0.002385295 0.0028861167 0.0018240206 0.00526064 0.0018920295 0.0015367112 0.0047976 0.010928851 0.0017574588 0.0019831904 0.0011333205 0.0031444863 0.0030126488 0.0010612922 0.0016354286 0.005573995 0.00097238226 0.0008985854 0.00093186635 0.0021259608 0.00084327796 0.0008616066 0.0009329918 0.006329328 0.0007977779 0.0008730218 0.001580282 0.0059529473 0.0012145132 0.0008651437 0.0009423169 0.0017666231 0.0007506701 0.00062574603 0.0016531142 0.0017706426 0.00083748996 0.0024124663 0.0007807355 0.0050988975 0.0031073466 0.0030779243 0.00886077 0.0037081721 0.0038393666 0.0027951167 0.0027354683 0.003954644 0.0030007511 0.0031745515 0.003986639 0.004155616 0.0030187583 0.0031234245 0.0027391661 0.011461988 0.003031299 0.0026328922 0.0062894546 0.0055301026 0.0118566975 0.0032145851 0.0023587665 0.005347781 0.0047066 0.0017433104 0.0018884925 0.003503824 0.0036311597 0.0017987787 0.0017248209 0.0064614867 0.0023232347 0.002801387 0.008888101 0.005069636 0.0069391564 0.004259317 0.0031168326 0.0021574732 0.0033409563 0.0018708069 0.0033385446 0.0013090504 0.002628712 0.0025234027 0.002421952 0.0018619641 0.009126856 0.0017290012 0.0041226563 0.0071171373 0.017008008 0.004615118 0.0029454436 0.004860304 0.007535963 0.0027967244 0.001442978 0.008378437 0.0045136674 0.007992731 0.008214283 0.003643861 0.0009608063 0.008554971 0.0077440087 0.016873438 0.007133215 0.0017957238 0.0017187115 0.00356299 0.0038427429 0.0010161138 0.003062972 0.0020981464 0.0018962098 0.0013048701 0.0008620889 0.0040229745 0.0011664407 0.00061384845 0.008381974 0.00283097 0.004839885 0.0008342744 0.0009934441 0.0023420458 0.008614458 0.0012416845 0.04069375 0.0016196725 0.0065042535 0.0013825257 0.0015170964 0.0034419247 0.0005289579 0.0009218982 0.0007201224 0.0014735258 0.00069648813 0.00046110986 0.00042123703 0.0011334814 0.0005820145 0.00037814866 0.00069873896 0.002146701 0.00041464515 0.00043458157 0.00044020877 0.0010696526 0.0015868739 0.00036030237 0.00066449336 0.0009466579 0.0006636895 0.00041368048 0.00042316638 0.0010756014 0.0004064455 0.0004257388 0.00038683065 0.00096434343 0.0007599952 0.00040033596 0.00081305177 0.002133035 0.0005813714 0.0011994 0.0005032336 0.001121423 0.0005627212 0.0014280257 0.0008325059 0.0078044613 0.0014741689 0.0023832049 0.0006757478 0.0010561474 0.00046979185 0.0006365181 0.00058346154 0.007616673 0.0010913577 0.0014190222 0.007425026 0.002674212 0.0009579123 0.0031311417 0.0022069926 0.002469864 0.0016555259 0.00090115785 0.00076626556 0.004007379 0.0006450393 0.000767391 0.000691504 0.0051120813 0.0007736613 0.002313588 0.0011870202 0.0018918688 0.00068330433 0.0014230416 0.0010530925 0.0033723079 0.0009744724 0.0010545396 0.0019433176 0.0015233668 0.000773179 0.00065967004 0.0007429528 0.0018669482 0.0007501878 0.0006993821 0.00063201634 0.0017188722 0.0010474654 0.00051850744 0.0006664227 0.01546985 0.0028594278 0.0007522779 0.0040858383 0.0031116877 0.0008043698 0.00066401105 0.0007003468 0.00410063 0.0007477761 0.0012063135 0.0007124051 0.00423504 0.00081916136 0.0016508633 0.00085324614 0.004626533 0.0010662763 0.001352621 0.0013257712 0.0054862103 0.0012555114 0.00208239 0.035018623 0.012816237 7.879395e-06 3.7788932e-06 1.4472357e-06 0.00016812055 9.648238e-07 1.4472357e-06 1.3668338e-06 1.3668338e-06 5.628139e-07 5.628139e-07 4.0200993e-07 9.648238e-07 4.0200993e-07 1.1256278e-06 1.7688436e-06 0.00061435153 4.9286416e-05 4.0200993e-07 3.2160793e-07 0.0001498693 5.628139e-07 4.0200993e-07 4.824119e-07 3.2160793e-07 6.4321586e-07 3.2160793e-07 9.648238e-07 8.0401986e-07 1.5276377e-06 2.4120595e-07 2.8140694e-06 0.00014247232 2.1145723e-05 1.0452258e-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 0.0007998389 0.0003233768 2.2512556e-06 6.351757e-06 4.422109e-06 2.4120595e-06 2.0904515e-06 9.648238e-07 1.6884417e-06 9.648238e-07 8.0401986e-07 9.648238e-07 1.9296476e-06 1.2864317e-06 1.5276377e-06 1.7688436e-06 0.00028880392 0.00012317584 3.730652e-05 1.7608034e-05 6.0301486e-06 4.824119e-07 3.2160793e-07 4.0200993e-07 8.844218e-07 9.648238e-07 4.0200993e-07 6.432159e-06 6.4321586e-07 8.844218e-07 1.3668338e-06 8.281404e-06 0.00051191944 1.4391955e-05 1.0452258e-05 9.809042e-06 1.7527633e-05 3.5376872e-06 2.1306525e-05 5.708541e-06 1.5195975e-05 3.6984914e-06 2.8140694e-06 1.0613062e-05 4.0200994e-06 1.8492457e-06 2.3316575e-06 2.347738e-05 0.002525748 0.000102271326 0.0002516582 0.00014625122 0.00030110544 0.00011111554 0.000987256 0.00040739684 6.255275e-05 4.253265e-05 3.8271344e-05 8.361806e-05 3.9959785e-05 3.971858e-05 4.3417072e-05 8.6351734e-05 0.0045111943 0.000178814 0.0011729042 0.00012012057 0.00048337673 0.00027071347 0.0043771644 0.0021673962 4.663315e-05 9.889444e-06 1.1979896e-05 4.494471e-05 2.2190947e-05 1.4793965e-05 4.2773856e-05 0.00019216075 0.013096358 0.0007007837 0.0013231755 0.0011631756 0.001496683 0.0010724016 0.0065092645 0.003183195 0.00053402997 3.5055265e-05 3.2482403e-05 0.00014866327 0.00046432146 5.2100484e-05 0.00016900497 0.00064667314 0.011905444 0.0012233162 0.0009077384 0.0009299294 0.0024040998 0.0017665119 0.0072184904 0.0032602202 0.0007774872 0.00034315567 0.000100422076 0.00010588941 0.0008217887 0.00013443212 0.00016040196 0.00054399983 0.05564798 0.006233566 0.0031032753 0.0024494464 0.01213885 0.0060593346 0.023818767 0.0127055235 0.0030130644 0.0014571252 0.00092012034 0.0024200997 0.0021056475 0.001591718 0.0009850851 0.0036675364 0.059806455 0.010900579 0.0070129023 0.0389542 0.017236577 0.010538047 0.024962002 0.016852578 0.0058067115 0.0038315565 0.003298009 0.0077601583 0.0044611846 0.005679033 0.0035291647 0.006770812 0.016573664 0.0016900497 0.001395698 0.0012127835 0.0034096069 0.0026116173 0.0054288222 0.003450612 0.003672843 0.00086528616 0.0006207837 0.0010604218 0.0019099491 0.0012643212 0.001466291 0.0032602202 0.053034276 0.0073218066 0.006337445 0.006361405 0.0150764175 0.01491103 0.010266529 0.011871594 0.032995287 0.0035324611 0.002407155 0.0051748324 0.011479232 0.006230752 0.012212258 0.022259612 0.044652607 0.00823437 0.0070042186 0.008321686 0.017200558 0.021446908 0.009860259 0.011471996 0.039919503 0.0041863704 0.0033076573 0.005954973 0.016459733 0.009790228 0.017062828 0.028378202 0.0010977283 0.0006770651 0.0005792963 0.00068623095 0.00063445204 0.0006611455 0.00080064294 0.0006888842 0.0007659093 0.0005858089 0.00062070333 0.00067529624 0.0006595375 0.00068253244 0.00067545706 0.00070641184 70288.0 13.627604 957857.0 0.013616855 0.0012872486 0.001127517 0.000743326 0.0028615962 0.0020556303 0.0017560032 0.0016891875 0.0023803136 0.00094586145 0.0007715139 0.0009928413 0.0030944077 0.001104549 0.011377481 0.0011588369 0.008916779 0.0071806125 0.0074698 0.008237137 0.008343626 0.0072797923 0.006674274 0.006272335 0.007874871 0.0069310972 0.007364356 0.0073518283 0.010590307 0.0072714402 0.009271739 0.0061856834 0.0027070846 0.0099137975 0.004344072 0.017561076 0.010922299 0.007373752 0.0087747965 0.004783595 0.019414172 0.020148102 0.0008894856 0.0018186431 0.009787474 0.005482029 0.004447428 0.0058871 0.009321851 0.002250858 0.0067807618 0.015868757 0.019568684 0.0053348257 0.0062514553 0.0061042514 0.0045977635 0.0035412384 0.0015586878 0.0027227446 0.0020274424 0.0026768087 0.0027039526 0.005568681 0.0021370621 0.046557054 0.0064498144 0.02021805 0.019728415 0.083460264 0.0075846394 0.013114693 0.0102698 0.03836481 0.0017184194 0.0037959737 0.031299036 0.022003284 0.04216496 0.04077853 0.013245192 0.0009270695 0.04346056 0.036789417 0.060271002 0.015082628 0.005445489 0.0034347507 0.008678748 0.013978078 0.0022477258 0.00067964214 0.002545265 0.00087591365 0.0008070098 0.00057419844 5.750204 1.0 35.0 0.0 4.0 6219776.0 6496256.0 0.0 1.0 632.0 1.0 1.0 0.0 1.0 0.0 1541012500.0 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 5.0 0.0 5.0 0.0 4956160.0 1024.0 4096.0 11.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -423936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -269312.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -4926976.0 -17408.0 550912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.9999 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6847343 -5.827714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.753982 0.0 0.0 0.0 0.0 0.0 3.9255672 0.0 0.0 -6.4577007 -5.2257338 5.9017215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72.0 0.0 0.0 -423578.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93.0 -28688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 246804.0 0.0 0.0 -268860.0 0.0 0.0 0.0 0.0 0.0 93.0 0.0 0.0 -4926516.0 -17004.0 550912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -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 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 0.0 -2.0 -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 -2.0 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 0.0 0.0 0.0 1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 -1.0 1.0 0.0 3.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -3.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 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 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 3.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 4.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 -3.0 1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -4.0 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 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 -1.0 -3.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 3.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 -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 -3.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 2.0 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 0.0 1.0 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 2.0 0.0 -1.0 0.0 2.0 2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 3.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -2.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93.0 5509120.0 17004.0 5484544.0 550912.0 5943296.0 0.0 0.0 0.0 0.0 421184.0 5521408.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5517312.0 0.0 0.0 0.0 0.0 2624.0 5487668.0 2394.0 5505024.0 0.0 0.0


Input: 0.6082067 0.005180705 0.0027646064 0.0033644421 0.0039542248 0.0017492418 0.0014644036 0.0016520617 0.003622472 0.0015783389 0.0014811588 0.0011929695 0.002640618 0.0016353065 0.0013035538 0.0024797681 0.002891946 0.0009416417 0.0009081313 0.000971801 0.0021882278 0.0017726991 0.0010756832 0.0009550458 0.001675519 0.0011494061 0.0009215354 0.0014476484 0.0016051471 0.0010656301 0.0011192467 0.0015917431 0.004932728 0.0010924384 0.0016118493 0.0012164268 0.002918754 0.0010053114 0.00084446155 0.0012231289 0.0011862675 0.0008913761 0.00082100433 0.0012800965 0.0011862675 0.0012097247 0.0023557798 0.0010053114 0.0025769481 0.0022619506 0.0023222694 0.0034046546 0.0021848767 0.0018866344 0.0019670592 0.002024027 0.0016822211 0.0018028584 0.0017391887 0.0024998744 0.001856475 0.0024596618 0.0016319555 0.0018665282 0.0024596618 0.0020474843 0.004426721 0.0048020375 0.0028182229 0.0029288072 0.0019503041 0.0019905167 0.0017492418 0.0017425397 0.0011963205 0.0011862675 0.0017559439 0.0019637083 0.0019469531 0.0013638724 0.0031332206 0.001233182 0.0011695123 0.002302163 0.001501265 0.0015950941 0.0020809947 0.0018732302 0.0013069048 0.0019100916 0.0007204732 0.0015414775 0.0009885562 0.0013873298 0.0014476484 0.0012633413 0.0010790342 0.0025434378 0.000884674 0.0020173248 0.0019637083 0.0046881023 0.0013739256 0.0011762143 0.0023390246 0.0024931722 0.0021614195 0.0008913761 0.002385939 0.0013370642 0.002463013 0.0026305648 0.0017090294 0.00079084496 0.003351038 0.0024362046 0.0055895313 0.004406615 0.0017726991 0.0017291356 0.0012298309 0.0012633413 0.000703718 0.00084446155 0.000971801 0.001236533 0.00096845 0.0011494061 0.0023189182 0.0010321197 0.0007003669 0.003877151 0.0013940318 0.0021547175 0.0006769097 0.00074393046 0.0014744567 0.0028651375 0.0011695123 0.0079118 0.0008578657 0.0025099274 0.0005093578 0.00081430224 0.0009114823 0.0004758474 0.00051605987 0.0006936649 0.0006601545 0.00060653785 0.00058308063 0.0005194109 0.0007573346 0.0004758474 0.0004959536 0.0005462192 0.00055292126 0.0004959536 0.00058308063 0.0005730275 0.00074393046 0.0009382906 0.00061323994 0.00082100433 0.0007305263 0.0006433993 0.00055292126 0.00060653785 0.0007238242 0.0005395171 0.00060653785 0.00065010134 0.0006970159 0.00059313374 0.00058978266 0.00058308063 0.0007472815 0.00060653785 0.0006433993 0.00060318684 0.00076403667 0.0005395171 0.0006635055 0.0007841429 0.0008947271 0.000442337 0.0006266441 0.0006266441 0.00084111054 0.00062329305 0.00084111054 0.0006702076 0.0028249251 0.0010890873 0.0008980782 0.002020676 0.0015984451 0.0006333462 0.0011695123 0.0013839786 0.0013370642 0.0011494061 0.000703718 0.0006769097 0.0026104585 0.00056297437 0.0005730275 0.0007472815 0.0011225977 0.0010488749 0.000794196 0.0008578657 0.0007171221 0.00056967646 0.0008980782 0.0007841429 0.0011762143 0.0006333462 0.00059648475 0.00077073876 0.0006869628 0.0006601545 0.0011494061 0.0010120135 0.0014409464 0.0006467503 0.00057637854 0.000703718 0.0015850409 0.0005730275 0.00077073876 0.0006635055 0.004319488 0.0009583969 0.0010388218 0.0015716368 0.0015448285 0.00061323994 0.00060653785 0.00056967646 0.0016286045 0.0006266441 0.0006635055 0.0009382906 0.0010220666 0.00062999513 0.0009550458 0.0010890873 0.0019804635 0.0009416417 0.00077073876 0.0007841429 0.0020809947 0.0008746209 0.0017291356 0.019774476 0.48965013 1.6837284e-06 0.0 0.0 1.6837284e-06 0.0 1.6837284e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033068426 1.6837284e-05 1.6837284e-05 5.0511853e-06 1.8521014e-05 1.6837284e-06 2.5255928e-05 2.0204741e-05 5.0511853e-06 1.6837284e-06 3.3674569e-06 3.3674569e-06 1.0102371e-05 3.3674569e-06 5.0511853e-06 5.0511853e-06 0.0063729123 6.903287e-05 2.8623384e-05 2.8623384e-05 7.745151e-05 2.5255928e-05 6.229795e-05 3.0307112e-05 0.00010102371 8.418642e-06 8.418642e-06 1.5153556e-05 1.34698275e-05 6.7349138e-06 1.1786099e-05 3.7042028e-05 0.012163254 0.00016668912 0.0001245959 9.260506e-05 0.00024414062 5.556304e-05 0.00011449354 0.00016500539 0.00020204742 3.53583e-05 3.7042028e-05 5.219558e-05 4.2093212e-05 5.0511855e-05 5.724677e-05 0.00019026131 0.0055815596 5.556304e-05 4.8828126e-05 8.0818965e-05 5.556304e-05 4.5460667e-05 6.0614224e-05 9.260506e-05 0.00010775862 2.3572198e-05 2.5255928e-05 3.367457e-05 3.7042028e-05 1.8521014e-05 0.00014311692 0.00048659754 0.0028000404 2.3572198e-05 1.0102371e-05 3.7042028e-05 5.724677e-05 9.260506e-05 3.8725753e-05 2.6939655e-05 0.00013301455 3.199084e-05 1.0102371e-05 6.7349138e-06 3.199084e-05 3.8725753e-05 2.8623384e-05 8.0818965e-05 0.012171673 0.00028623384 0.00023403825 0.0050495015 0.00480031 0.00019026131 0.0004209321 0.000272764 7.2400326e-05 2.3572198e-05 8.0818965e-05 3.8725753e-05 2.188847e-05 8.587015e-05 0.00014311692 0.00024582434 0.02744309 0.00076104526 0.002133284 0.0011701912 0.00092099945 0.00025929417 0.004061153 0.0022410427 0.0006027748 0.0001414332 0.00016500539 0.00011280981 0.00038220634 0.00014480065 0.0003434806 0.0073932516 0.013983365 0.00042935077 0.0011028422 0.0009479391 0.0012914197 0.00048154633 0.0018756735 0.0014160157 0.0007778825 8.755388e-05 8.9237605e-05 0.00010607489 0.00012796336 6.0614224e-05 0.00027613147 0.0010843212 0.010171403 0.00046134158 0.0010708513 0.0015978583 0.0027562634 0.0010742188 0.0059300917 0.0030525997 0.00024582434 9.933998e-05 7.07166e-05 9.597252e-05 0.00013469828 0.00010775862 0.00014480065 0.0005724677 0.004340652 8.0818965e-05 0.0004680765 0.00021551724 0.0012392241 0.0004849138 0.00332368 0.0020322602 0.00011280981 8.4186424e-05 8.4186424e-05 7.2400326e-05 6.398168e-05 0.00011449354 7.4084055e-05 0.0010018185 0.0032479123 0.00052195584 0.00051185343 0.0049131196 0.0008485991 0.00047649516 0.0005977236 0.00037547146 0.00028791756 0.00028623384 0.00028791756 0.00024582434 0.00025929417 0.00029970365 0.00030643857 0.00032664332 0.0069790543 0.0011516702 0.0008081897 0.0018689386 0.0014614763 0.00080145476 0.0016349003 0.0014143318 0.0010203394 0.0002828664 0.00025592672 0.00038220634 0.0006465517 0.00051185343 0.0006095097 0.00086038525 0.011117659 0.0019447063 0.0023403824 0.0018066406 0.0039550783 0.0032967404 0.0022797682 0.0031418372 0.006527815 0.000527007 0.0006802263 0.0007391568 0.0031081627 0.001183661 0.0020305766 0.003596444 0.023940936 0.00565396 0.00515726 0.0055108434 0.008959119 0.009014682 0.0037530307 0.0068797143 0.01367861 0.0010573815 0.001581021 0.001606277 0.007608769 0.0031233162 0.00663389 0.01308257 0.011006533 0.01065295 0.010728718 0.010900458 0.009678071 0.009198208 0.008280576 0.0089877425 0.0071390085 0.0066945045 0.007213093 0.0073612607 0.0074336613 0.0076862206 0.007354526 0.007615504 1452.0 10.810606 15697.0 0.029113844 0.00286679 0.003886093 0.0022297255 0.004586864 0.0025482576 0.0025482576 0.005096515 0.003312735 0.002166019 0.0022297255 0.0030579092 0.003185322 0.0041409186 0.012359049 0.0038223865 0.017837804 0.017073326 0.017137032 0.015671784 0.014397656 0.008791489 0.009173728 0.009619673 0.008855196 0.009110021 0.009428553 0.009428553 0.007963305 0.01700962 0.009364847 0.009237434 0.0068802955 0.016945913 0.0072625345 0.023698796 0.018411161 0.008664076 0.010766389 0.016563674 0.008281837 0.014206536 0.0054787537 0.0073262407 0.009364847 0.007899598 0.016945913 0.0070077083 0.014333949 0.0036949737 0.0054150475 0.0124864625 0.0058609927 0.0029304964 0.007198828 0.008536663 0.008345543 0.00286679 0.0027393769 0.009237434 0.0040772124 0.0027393769 0.003312735 0.0036312672 0.0047142766 0.026183346 0.005669873 0.021023126 0.014397656 0.054277886 0.0061158184 0.007963305 0.008664076 0.027521182 0.0026756704 0.0035675606 0.02236096 0.010957507 0.023889916 0.028413072 0.012422756 0.002611964 0.035293367 0.02166019 0.04223737 0.013187233 0.0074536535 0.0072625345 0.00573358 0.008218131 0.0030579092 0.0029304964 0.0024845512 0.0021023126 0.002611964 0.0019748996 6.1418967 0.0 1.0 0.0 6.0 298415.0 348160.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 1099778400.0 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 -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 5.0 1.0 6.0 4.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 181248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109056.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.461667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8134696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4644375 0.0 3.549142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180969.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110926.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 197212.0 1932.0 57344.0 24.0 17360.0 0.0 0.0 3264.0 232960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 4096.0 0.0 0.0 0.0 0.0