Input: 0.06037372 0.0043883277 0.0036020977 0.00342738 0.0033749647 0.0038350548 0.0035817141 0.0038932941 0.0044756867 0.0036283054 0.00434756 0.0039893887 0.0036661609 0.00405054 0.0037768155 0.0034535876 0.0032235426 0.003969005 0.0036865447 0.002976026 0.003491443 0.0036894567 0.003124536 0.0035205628 0.0034390278 0.0035001792 0.0028333396 0.0043359124 0.0031041522 0.0032934297 0.0033021655 0.0033720527 0.00464458 0.00451063 0.0030255292 0.003342933 0.003270134 0.0039282376 0.003820495 0.003043001 0.0034681475 0.003270134 0.0035380346 0.0033691407 0.0030837685 0.00295273 0.0042602015 0.003366229 0.004149547 0.0029090506 0.0035817141 0.0032351904 0.0035205628 0.0037913753 0.0034477639 0.003031353 0.002958554 0.003584626 0.0033633169 0.003506003 0.0029789377 0.0038437906 0.0037011045 0.002871195 0.005457018 0.004516454 0.003430292 0.0038583505 0.0057365666 0.011688618 0.0032322786 0.004889185 0.0036865447 0.003910766 0.0034506756 0.0038292308 0.003121624 0.004513542 0.0040447162 0.0033895245 0.0051978533 0.0037768155 0.0031478317 0.0036690729 0.0030517369 0.0041058674 0.003674897 0.0034215562 0.004895009 0.0038117592 0.004452391 0.0034128202 0.0028653713 0.0037244002 0.0030954164 0.003572978 0.0032148068 0.0031274478 0.003037177 0.0048105624 0.0039544455 0.0034186442 0.0035700663 0.0029818497 0.0038554384 0.003345845 0.0041582827 0.0037476958 0.0032235426 0.0035467704 0.003657425 0.004132075 0.0030546489 0.0032468382 0.00357589 0.0035234748 0.0047173793 0.0034128202 0.0033312852 0.003366229 0.0031012401 0.004155371 0.0038350548 0.0034564997 0.004210698 0.0043300884 0.002877019 0.002801308 0.0050289594 0.0040709237 0.0035613303 0.0035351226 0.004432007 0.0036981925 0.003424468 0.0034710595 0.003261398 0.004379592 0.0031478317 0.006540268 0.0033400212 0.0045455736 0.0040097726 0.0033109016 0.0044640386 0.00405054 0.0030983281 0.0031478317 0.0031274478 0.0038583505 0.0030197052 0.003348757 0.0029265224 0.0037739035 0.002949818 0.0029876737 0.0034564997 0.0029439942 0.0028304276 0.004370856 0.0030604727 0.0029964095 0.0036981925 0.003424468 0.0033866125 0.0038030231 0.0028449874 0.002888667 0.0029964095 0.0029672899 0.0029236104 0.0028595473 0.0044174474 0.0027983962 0.003671985 0.003660337 0.003511827 0.002725597 0.003744784 0.003275958 0.0029236104 0.004073836 0.0034099082 0.004271849 0.003261398 0.002973114 0.004344648 0.003112888 0.004437831 0.0037185764 0.0035555065 0.003744784 0.0030983281 0.0031623915 0.005058079 0.003736048 0.0029993216 0.0029177866 0.011190672 0.0033895245 0.0034652355 0.0034797953 0.002871195 0.0033982603 0.0057161828 0.0029236104 0.0037564319 0.0030808565 0.0034361158 0.0036224816 0.003578802 0.003261398 0.0029876737 0.004073836 0.0039835647 0.0029672899 0.0030692087 0.0045251898 0.003896206 0.0037709917 0.0030983281 0.0034972671 0.0039486215 0.004204874 0.0032060707 0.0033079896 0.003881646 0.0035205628 0.003424468 0.0032934297 0.0035234748 0.0031623915 0.0045397496 0.003925326 0.0028624593 0.0034506756 0.003736048 0.0038729103 0.0039427974 0.0033400212 0.0039631813 0.00451063 0.0031012401 0.0032439264 0.0037098404 0.0037913753 0.0032876057 0.0038379668 0.004434919 0.0039398856 0.0030051454 0.0037651677 0.004595077 0.0030808565 0.003270134 0.0062083043 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.055080757 0.051852837 0.053982854 0.052488774 0.051797286 0.05285425 0.051806055 0.053982854 0.05344633 0.05139672 0.050266653 0.05500766 0.0508485 0.05535852 0.05201511 0.052126218 1403.0 7.826087 10980.0 0.008652095 0.0070127505 0.0066484516 0.006193078 0.006284153 0.007468124 0.006010929 0.006193078 0.0071949 0.006193078 0.0064663026 0.0054644807 0.006557377 0.005919854 0.0071949 0.0048269583 0.0063752276 0.006010929 0.006921676 0.009380693 0.0058287797 0.0057377047 0.006557377 0.0070127505 0.0067395265 0.0071949 0.0071949 0.02003643 0.0048269583 0.006921676 0.005919854 0.0054644807 0.006830601 0.0356102 0.019854281 0.0070127505 0.066848814 0.007377049 0.0067395265 0.03852459 0.006557377 0.036703095 0.006193078 0.0055555557 0.0067395265 0.00856102 0.035336975 0.006193078 0.051275045 0.007468124 0.0063752276 0.007377049 0.0063752276 0.00564663 0.006830601 0.0076502734 0.036247723 0.0072859745 0.03306011 0.005919854 0.0055555557 0.00564663 0.0064663026 0.01010929 0.0063752276 0.010291439 0.006921676 0.008378871 0.011930783 0.017941711 0.0075591984 0.009653917 0.006557377 0.010291439 0.0072859745 0.0061020036 0.0104735885 0.010018215 0.010928961 0.0104735885 0.006921676 0.0055555557 0.0103825135 0.01010929 0.013661202 0.0072859745 0.0058287797 0.006284153 0.006557377 0.006284153 0.0064663026 0.0057377047 0.0058287797 0.0066484516 0.0066484516 0.006284153 6.1587114 0.0 0.0 0.0 9.0 343411.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 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 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -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 -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 2.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 2.0 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 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.30978024 0.021082798 0.0184908 0.009820386 0.012704439 0.0042895735 0.015004381 0.0045816298 0.004764165 0.0029753214 0.014566297 0.0045633763 0.0025919976 0.0018618575 0.008195824 0.0014602804 0.004052278 0.0038514894 0.009291034 0.0026467582 0.001916618 0.0041070385 0.0034681659 0.0022816882 0.0024824766 0.0021539135 0.001843604 0.001624562 0.0027745327 0.002245181 0.003614194 0.0022269276 0.011006863 0.0055673188 0.001916618 0.0012594918 0.0015332944 0.0017158295 0.0021174066 0.0018618575 0.008031542 0.0012412383 0.005165742 0.0021539135 0.0029935748 0.0023547022 0.0028292933 0.0012777454 0.0038514894 0.0016063084 0.0012412383 0.0012959988 0.0011317172 0.00069363316 0.0009856892 0.00067537965 0.0014237734 0.0009674358 0.0010039428 0.0007118867 0.0011682243 0.0010221963 0.0012959988 0.0012959988 0.0006571262 0.007301402 0.0023364485 0.006443487 0.0042165597 0.00817757 0.0024459697 0.0023729557 0.0022634345 0.0066442755 0.0008944217 0.0036689544 0.004125292 0.0053300234 0.0039975177 0.0047094044 0.005037967 0.0011682243 0.0053847837 0.009035485 0.006589515 0.001989632 0.0056585865 0.0016975759 0.00094918226 0.0016975759 0.00085791474 0.0004198306 0.00062061916 0.00062061916 0.00023729556 0.0033768984 0.0008214077 0.01787018 0.0029753214 0.007940275 0.008524387 0.036360983 0.0023912091 0.0057681073 0.0022634345 0.01582579 0.00093092874 0.0034864193 0.009656104 0.007903768 0.016117845 0.022159755 0.008323598 0.0013872663 0.019969335 0.01801621 0.02290815 0.0060236566 0.0024094626 0.001624562 0.0015698014 0.0068268105 0.001843604 0.0056585865 0.0007483937 0.0024459697 0.0014967874 0.00029205607 0.008779936 0.002026139 0.0003833236 0.0003833236 0.00060236565 0.0003833236 0.0013872663 0.00014602803 0.0003650701 0.0004380841 0.00020078855 0.00027380258 0.00052935164 0.0003833236 0.0021539135 0.00018253505 0.0007118867 0.0011864778 0.0005658586 0.00029205607 0.0012229849 0.00023729556 0.0003285631 0.00025554906 0.00029205607 0.0004380841 0.00031030958 0.00025554906 0.00060236565 0.00051109813 0.00023729556 0.00031030958 0.00060236565 0.0006571262 0.0004198306 0.0008214077 0.0004380841 0.0003833236 0.00018253505 0.00029205607 0.0004015771 0.00021904205 0.00021904205 0.00021904205 0.00060236565 0.00051109813 0.00012777453 0.0004928446 0.00034681658 0.00051109813 0.00016428155 0.0046181367 0.0004380841 0.00025554906 0.00016428155 0.00016428155 0.0003650701 0.0003285631 0.00020078855 0.00051109813 0.00062061916 0.0004380841 0.00027380258 0.0003650701 0.00034681658 0.0007849007 0.00025554906 0.00016428155 0.00031030958 0.0004563376 0.0013325058 0.00020078855 0.00029205607 0.0004380841 0.00025554906 0.0004380841 0.00034681658 0.00014602803 0.00021904205 0.00031030958 0.0004563376 0.0004563376 0.00027380258 0.00018253505 0.00025554906 0.00021904205 0.00029205607 0.00029205607 0.0004563376 0.00031030958 0.00012777453 0.00016428155 0.0008031542 0.00058411213 0.0010952103 0.00025554906 0.0004015771 0.0006571262 0.0004198306 0.00031030958 0.00034681658 0.00023729556 0.00085791474 0.0003650701 0.00031030958 0.0004380841 0.00025554906 0.00023729556 0.00023729556 0.00027380258 0.0003285631 0.00012777453 0.0004928446 0.0004380841 0.00014602803 0.00021904205 0.00020078855 0.00021904205 0.00018253505 0.00016428155 0.00018253505 0.0004563376 0.000109521025 0.00018253505 0.00027380258 0.00020078855 0.0008031542 0.0004928446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015052209 5.6340145e-05 0.0003192608 0.0003568209 0.0005164513 0.0002347506 0.0017841046 0.00079815206 2.8170072e-05 0.0 9.390024e-06 1.8780049e-05 0.0 0.0 3.7560098e-05 1.8780049e-05 0.013531025 0.0012958234 0.0014648438 0.0003192608 0.00022536058 0.00012207031 0.0005164513 0.0011549729 4.695012e-05 2.8170072e-05 1.8780049e-05 4.695012e-05 6.573017e-05 0.0001596304 0.00011268029 0.00012207031 0.08388109 0.0046198918 0.005962665 0.0017371544 0.041494515 0.024874173 0.10537485 0.056096002 0.00036621094 0.00049767125 0.00024414062 0.00037560097 0.00030987078 0.0003568209 0.000384991 0.00034743088 0.103393555 0.005840595 0.013230544 0.0069110575 0.0073148287 0.005408654 0.03892165 0.026564378 0.0010704627 0.0004601112 0.00024414062 0.00015024039 0.00013146034 0.0007418119 0.0004319411 0.0007230319 0.07457557 0.009634165 0.012038011 0.0032583384 0.0060471753 0.0044508716 0.005023663 0.008591872 0.0021315354 0.0014930138 0.0016714243 0.0012113131 0.0012207031 0.0018780048 0.0007136418 0.00067608175 0.08805965 0.019981971 0.011108398 0.004751352 0.00780311 0.0048170825 0.007033128 0.006263146 0.007408729 0.0029766376 0.0024226261 0.002000075 0.0025728666 0.001934345 0.002413236 0.0015305739 0.034076396 0.0048922026 0.005859375 0.0023850661 0.0026479869 0.0033428485 0.0048640324 0.0034179688 0.0047701322 0.0018028846 0.001558744 0.0028451772 0.001577524 0.0008544922 0.0012770433 0.00075120194 0.012798603 0.0052302433 0.0038499099 0.00087327225 0.0010047326 0.0032771183 0.0006666917 0.0006385216 0.0032865084 0.0007042518 0.0005915715 0.0033616286 0.0005446214 0.0004225511 0.0005164513 0.00069486175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 728.0 16.428572 11960.0 0.002090301 8.361204e-05 8.361204e-05 0.00033444815 8.361204e-05 0.0 0.00016722408 0.0 0.0 0.0 8.361204e-05 0.0 8.361204e-05 0.00033444815 0.00451505 0.0 0.0014214047 0.0010869565 0.00075250835 0.00075250835 0.0010869565 8.361204e-05 0.0 0.00016722408 0.00033444815 0.0005016722 8.361204e-05 0.0 0.0015050167 8.361204e-05 0.0015050167 0.0 8.361204e-05 0.010785953 0.004347826 0.0159699 0.0058528427 0.011120401 0.0052675586 0.0047658863 0.0038461538 0.011036789 0.0010033444 0.00409699 0.004849498 0.009615385 0.0054347827 0.006187291 0.011789298 0.0005016722 0.0090301 0.018478261 0.0100334445 0.0018394649 0.0016722408 0.0032608695 0.0005016722 0.0 0.0 0.0 0.00091973244 0.0 0.0 0.0137123745 0.00091973244 0.059531774 0.009113712 0.026588628 0.02867893 0.13436455 0.0064381273 0.019732442 0.006354515 0.055434782 0.0018394649 0.010953178 0.033277594 0.028428094 0.056772575 0.055685617 0.017558528 0.0026755852 0.05936455 0.053010035 0.07993311 0.020066889 0.007943144 0.0051003345 0.004264214 0.020066889 0.0025919732 0.0 0.0 0.0 0.0 8.361204e-05 4.9131665 1.0 0.0 0.0 1.0 54784.0 81920.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1530651100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 52224.0 512.0 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 -52224.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.699447 0.0 3.275704 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 -51764.0 0.0 1088.0 0.0 0.0 0.0 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 59868.0 1088.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 28.0 59556.0 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: 0.26118022 0.023225121 0.012090413 0.014699636 0.009557039 0.007478762 0.014805825 0.004990898 0.008783374 0.00943568 0.009223301 0.006841626 0.00948119 0.0034739077 0.008267597 0.0027154125 0.0032918688 0.009875607 0.0058252425 0.0042627426 0.004156553 0.002654733 0.008267597 0.003913835 0.002958131 0.0019569176 0.0024120146 0.0031856797 0.0031553397 0.0035497572 0.0021237864 0.0044902912 0.022921722 0.0014714806 0.001410801 0.0013652913 0.0018203884 0.0017748786 0.0037924757 0.001410801 0.009420509 0.0013349515 0.004065534 0.00465716 0.0015018204 0.0041868933 0.0049150484 0.0027305826 0.011301578 0.0044902912 0.0028822816 0.0021692961 0.0015776699 0.0019114078 0.0014714806 0.0045964806 0.008919903 0.0030794903 0.0023968446 0.0005309466 0.000940534 0.0014411408 0.001092233 0.00086468447 0.0011984223 0.005961772 0.0047785193 0.0069174757 0.0057038837 0.004429612 0.005021238 0.005021238 0.0049605584 0.0055825245 0.003731796 0.005309466 0.0043082526 0.0042779124 0.00467233 0.004202063 0.0060224514 0.0008950243 0.0015321602 0.00464199 0.002320995 0.0032008495 0.0021389562 0.0010618932 0.0036559466 0.0026850728 0.0012287621 0.0015169902 0.00086468447 0.0009253641 0.00077366503 0.0032008495 0.0015473301 0.011195389 0.0037924757 0.006113471 0.004793689 0.018598301 0.0024726943 0.004793689 0.0026850728 0.011089199 0.0011529126 0.001410801 0.006705097 0.005779733 0.010588592 0.012014563 0.0041413833 0.0009101942 0.011134708 0.008677185 0.014290049 0.005188107 0.0027912622 0.0016231796 0.0015776699 0.004550971 0.0012287621 0.0012135922 0.0009557039 0.0012742719 0.0013046117 0.000621966 0.0038531553 0.0030491506 0.0014866504 0.0005157767 0.0005309466 0.0006067961 0.0021389562 0.00034890778 0.00068264565 0.0012894417 0.0009101942 0.00080400484 0.0007433252 0.0017748786 0.0010770631 0.0004854369 0.0005461165 0.0013804612 0.0008950243 0.0009860437 0.00066747575 0.00066747575 0.00065230584 0.0005764563 0.0005157767 0.0005461165 0.0025637136 0.000470267 0.004566141 0.0005612864 0.00066747575 0.00040958737 0.0010012136 0.00078883494 0.0005309466 0.0004854369 0.000621966 0.0004399272 0.0017597087 0.00068264565 0.0005612864 0.0005916262 0.0005157767 0.0004550971 0.000470267 0.00078883494 0.0005309466 0.0005764563 0.0005006068 0.0005006068 0.00042475728 0.0005006068 0.00068264565 0.0006067961 0.00063713593 0.0004550971 0.00084951456 0.0010467233 0.0005006068 0.00036407766 0.0004854369 0.00042475728 0.0005916262 0.00037924756 0.0005612864 0.000470267 0.0005157767 0.000621966 0.0005309466 0.0005006068 0.0015018204 0.00086468447 0.00034890778 0.000470267 0.00078883494 0.000470267 0.00063713593 0.00068264565 0.0007281553 0.00078883494 0.0009557039 0.0007281553 0.00078883494 0.0007584951 0.00069781556 0.00084951456 0.00068264565 0.0005916262 0.0007433252 0.00071298546 0.0005309466 0.000621966 0.00068264565 0.000940534 0.0005309466 0.0005006068 0.0011529126 0.0006067961 0.0007433252 0.0005612864 0.000621966 0.0008950243 0.0009708738 0.0007433252 0.0007281553 0.0007433252 0.0005309466 0.00069781556 0.00071298546 0.00065230584 0.000621966 0.00065230584 0.00077366503 0.00083434465 0.0004854369 0.000621966 0.000621966 0.0005764563 0.00063713593 0.0009557039 0.00063713593 0.002639563 0.00031856797 0.0004854369 0.0004550971 0.0005309466 0.011771845 0.017763956 0.01578001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.3005954e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012710813 5.4253473e-05 0.00026351688 0.0003797743 0.00036427332 0.00017051092 0.0013485863 0.0004960318 1.5500993e-05 0.0 7.7504965e-06 2.3251489e-05 1.5500993e-05 0.0 7.7504965e-06 1.5500993e-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 0.012594556 0.00012400794 0.0004960318 0.00046502976 0.010129898 0.0012865823 0.0040535093 0.0021933904 6.200397e-05 4.6502977e-05 3.1001986e-05 6.200397e-05 6.200397e-05 2.3251489e-05 2.3251489e-05 9.3005954e-05 0.011114212 9.3005954e-05 0.00043402778 0.0005657862 0.012633309 0.0023096479 0.014206659 0.006107391 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015500993 0.034784228 0.0031467015 0.0032552083 0.0016896081 0.021709139 0.0060221353 0.023220487 0.012741815 0.00044952877 0.00085255457 0.0010773189 0.00036427332 0.00044952877 0.00027126737 0.0004960318 0.0005812872 0.17870319 0.032474577 0.031149244 0.0187562 0.018244667 0.0133463545 0.02938988 0.018973215 0.0077892486 0.006828187 0.0038209946 0.0024956597 0.0032552083 0.0028444321 0.0028056796 0.010075645 0.086681545 0.017368862 0.018980965 0.013005332 0.006339906 0.005595858 0.011881511 0.0078202505 0.0035264757 0.003952753 0.0010463169 0.000984313 0.0012865823 0.0013253348 0.0017748636 0.0089053195 0.019461496 0.0033792162 0.0036582341 0.0022786458 0.0014570933 0.0012090774 0.0040380084 0.00281343 0.0011625744 0.0013408358 0.0007750496 0.0011315724 0.0012865823 0.0026196677 0.0027359251 0.014144655 0.016624814 0.0040690103 0.003216456 0.0027126735 0.0011548239 0.0013718378 0.004751054 0.002983941 0.002015129 0.00072854664 0.0006355407 0.0010773189 0.000875806 0.0011083209 0.0009765625 0.0033172122 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017725384 0.005905878 0.0075722346 0.00968037 0.0047200522 0.0051695807 0.012470548 0.007688492 0.004875062 0.0027281747 0.0030769468 0.0024646576 0.002983941 0.002859933 0.0024336558 0.0028831845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 772.0 19.470207 15031.0 0.010112435 0.00013305835 0.00033264587 0.00059876253 0.0011975251 0.00033264587 0.0005322334 0.00046570422 0.0011309959 0.0002661167 0.0 0.0005322334 0.0027276962 0.0032599294 0.0133058345 0.0036591045 0.016499234 0.008116559 0.005322334 0.0043909256 0.0037921628 0.0037921628 0.0031934003 0.0029272835 0.0025946377 0.0029272835 0.0011309959 0.00013305835 0.0012640543 0.0029272835 0.00093140843 6.652917e-05 0.00033264587 0.022021156 0.01603353 0.027210431 0.021222806 0.016233118 0.01763023 0.018295523 0.016432706 0.020424455 0.013106247 0.01683188 0.014769477 0.01603353 0.015967002 0.015767414 0.017896347 0.0007983501 0.004324396 0.015634356 0.0063868007 0.0027942252 0.0045239837 0.0011975251 0.0013971126 0.00066529174 0.0011309959 0.00039917504 6.652917e-05 0.00033264587 6.652917e-05 0.010178964 0.0012640543 0.042179495 0.011975251 0.021555452 0.017031468 0.0736478 0.006586388 0.016964938 0.008449205 0.038586922 0.0010644668 0.0037256337 0.025081499 0.021422394 0.04084891 0.03871998 0.0135054225 0.0011309959 0.04111503 0.03053689 0.055817977 0.019093873 0.009047967 0.003925221 0.0031934003 0.015833944 0.002328521 0.00013305835 0.0 0.0002661167 0.00019958752 6.652917e-05 5.604298 0.0 15.0 0.0 1.0 65920.0 90112.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1541579500.0 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 1.0 0.0 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 6.0 0.0 4.0 0.0 4.0 0.0 55808.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55808.0 512.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.04038 6.843541 3.2874358 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 -55476.0 496.0 1060.0 0.0 0.0 0.0 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 75.0 63584.0 1060.0 73728.0 0.0 0.0 6528.0 59392.0 12.0 81920.0 28.0 63504.0 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: 0.0075036203 0.0027396046 0.0026184355 0.0025519403 0.002561545 0.0025704112 0.002462541 0.0024728847 0.0025415965 0.0025741053 0.0025512013 0.002597748 0.002543813 0.0026442946 0.0025940537 0.0024699294 0.0025859266 0.002660549 0.0025704112 0.002642817 0.002787629 0.0026583327 0.002489139 0.002512043 0.0024773178 0.0024972663 0.00260292 0.0024972663 0.0025024381 0.002494311 0.0025223868 0.0025246032 0.002593315 0.0024861838 0.0025238644 0.0025068712 0.0025445519 0.0024610634 0.0023960457 0.002543074 0.0025541566 0.002516476 0.002481012 0.0024152554 0.0025105653 0.0025645003 0.0024913556 0.0025246032 0.002679759 0.0025829712 0.0025415965 0.0026221296 0.0025718887 0.0024684516 0.0025386412 0.002529775 0.0025585897 0.0025275585 0.0024906169 0.0025630228 0.0025512013 0.002440376 0.0024920944 0.0024950497 0.0025733665 0.0025408575 0.0026014422 0.0025925762 0.002552679 0.0026354287 0.0025364247 0.0025837102 0.0024935722 0.0025534178 0.0024906169 0.0025940537 0.002701924 0.0026642433 0.0025696722 0.0026103084 0.0026391228 0.002535686 0.0025593285 0.002548985 0.0027765464 0.0026406005 0.0025408575 0.0025445519 0.0024728847 0.0025512013 0.0025681946 0.002494311 0.0025822325 0.0025002216 0.0024884003 0.0025386412 0.0024071282 0.0025696722 0.0024595857 0.0025556344 0.0026671987 0.0028785057 0.0025970093 0.002453675 0.0025696722 0.0025127819 0.002498005 0.0025674556 0.0026531608 0.0025423353 0.0026442946 0.002616219 0.0025696722 0.0025608062 0.002724828 0.002647989 0.0027521648 0.0025674556 0.0025223868 0.0026213909 0.0025563731 0.002535686 0.0025061322 0.34702915 0.0025327303 0.002462541 0.0024861838 0.002458847 0.0025016994 0.0025733665 0.0025016994 0.0025452906 0.002511304 0.0025674556 0.0025504625 0.0024994828 0.0025149984 0.0026213909 0.0024884003 0.0027492095 0.0025696722 0.002494311 0.0025401188 0.0025401188 0.0025940537 0.0024876615 0.0024736235 0.0024920944 0.002565978 0.0025216478 0.002489139 0.0024906169 0.0025275585 0.0025142594 0.0025593285 0.00263469 0.0025733665 0.0024751013 0.0025467684 0.0026095693 0.0025083488 0.0025068712 0.0024824897 0.0025460294 0.0025593285 0.0025098266 0.0025327303 0.0024898779 0.0025445519 0.0025726275 0.0024455478 0.0025105653 0.0024832285 0.0024603244 0.0024381594 0.002484706 0.0024817507 0.0025024381 0.0024928332 0.0025090878 0.0025327303 0.0025637615 0.0024618022 0.0025548956 0.0025497237 0.0026561162 0.0025423353 0.0025940537 0.0025179537 0.0025445519 0.0025068712 0.0024425925 0.0025674556 0.0024366817 0.0026132637 0.002543813 0.00250761 0.0024507197 0.0025541566 0.0025608062 0.00250761 0.0025098266 0.0024824897 0.0025608062 0.002628779 0.0025460294 0.0025268197 0.0024366817 0.002565978 0.0025630228 0.002575583 0.0025275585 0.0025970093 0.0025563731 0.0025127819 0.0024684516 0.0025327303 0.002511304 0.002543813 0.0025364247 0.0024765788 0.0024521973 0.0025290363 0.002548246 0.0025282975 0.0024344653 0.0024100835 0.0025127819 0.00257115 0.0025829712 0.002562284 0.0024765788 0.0025024381 0.0024994828 0.0025053935 0.0025593285 0.0025282975 0.002458108 0.0025275585 0.0025637615 0.0024388982 0.0025002216 0.0025127819 0.0024470254 0.0025157372 0.0024255991 0.0025105653 0.0025105653 0.00260292 0.002606614 0.0024558916 0.0023827467 0.0025342081 0.0024950497 0.0025519403 0.0027100511 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007657138 1.4426491e-05 1.5166312e-05 1.6276043e-05 0.00020234079 0.00013945608 0.0006928415 0.00031997217 1.0727391e-05 9.247751e-06 1.4796402e-05 1.7385772e-05 1.2576941e-05 2.1084872e-05 7.768111e-06 1.2946852e-05 0.0008770567 3.4401633e-05 4.6608664e-05 7.657138e-05 6.0665247e-05 3.9580373e-05 0.000106904 5.8445785e-05 3.3291904e-05 2.0714962e-05 3.3661814e-05 2.4414063e-05 2.1824691e-05 2.3304332e-05 2.9222892e-05 2.8483073e-05 0.0015854344 0.00040357184 9.802616e-05 9.58067e-05 0.00017459753 0.00013982599 0.00016239051 0.00089740177 0.00013538708 0.00017866655 0.00010505445 0.0001143022 0.00012207031 9.395715e-05 9.395715e-05 0.00014500474 0.0008559718 0.00034882515 0.00014278527 0.0001764471 0.00031516334 0.00027188388 0.00031923235 0.0020940606 0.00026670514 0.00023267341 0.00011282256 0.00016239051 0.00017089843 0.00016904889 0.00022305576 0.00019864169 0.040940903 0.040035363 0.03968099 0.040096767 0.0403742 0.040073093 0.039731666 0.38247624 0.04005053 0.040018346 0.03972094 0.03997063 0.039953243 0.04009714 0.039762 0.03959369 0.00034179687 8.507931e-05 5.4746684e-05 9.95058e-05 8.248994e-05 0.00016719934 0.00010172526 6.0665247e-05 0.00012761896 3.8100734e-05 5.2897136e-05 8.988814e-05 4.4389206e-05 4.4019296e-05 4.0320196e-05 8.47094e-05 0.00023267341 7.8420926e-05 5.3267046e-05 5.5486507e-05 7.36121e-05 0.00012798887 5.4006865e-05 5.1787407e-05 0.0001290986 7.8051016e-05 5.9185608e-05 9.506688e-05 0.00012872869 6.62139e-05 8.138021e-05 0.00015018348 13256.0 37.80733 501174.0 0.00076620094 0.0006564586 0.0006724211 0.0005926085 0.0006504727 0.00061854767 0.0006704258 0.00064847735 0.0006305195 0.0006744165 0.0005926085 0.0007342759 0.0006784071 0.0007083368 0.00070035557 0.00072230404 0.0007841588 0.0006923743 0.0007462478 0.0006764118 0.00070434617 0.00064847735 0.00064847735 0.0006385008 0.00064847735 0.00070434617 0.0006684305 0.0007322806 0.0007183134 0.0005965992 0.00060258515 0.00072829 0.0006764118 0.0007203087 0.0006684305 0.0007741822 0.0007701916 0.00070434617 0.0007143228 0.0007542291 0.0006385008 0.0007582197 0.0006923743 0.0007302853 0.00078016816 0.00080411194 0.0006544633 0.00072429935 0.0007841588 0.00064648205 0.0007462478 0.00078216346 0.0006784071 0.0006744165 0.0007143228 0.0008240651 0.00065845397 0.000652468 0.0006724211 0.0007063415 0.0006724211 0.00062453357 0.00060458045 0.0007063415 0.0006305195 0.0008879152 0.0006105664 0.0008340417 0.0008759433 0.0012789969 0.00068838365 0.00068638835 0.0007841588 0.0008719527 0.00066044927 0.00070035557 0.0008320464 0.00076021504 0.0009178449 0.0009577512 0.0007542291 0.00068838365 0.0010036435 0.00089589646 0.0011133858 0.0007921401 0.00068638835 0.0007961307 0.0007921401 0.00068638835 0.0007083368 0.93106186 0.0006664352 0.0007143228 0.00066443987 0.0006305195 0.8138825 0.0 4.0 0.0 15.0 1353480.0 2125824.0 0.0 0.0 157.0 0.0 1.0 1.0 0.0 0.0 1542693800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 1340416.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1340416.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6531835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6417093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.126454 0.0 3.2139354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1340385.0 0.0 762832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1348856.0 976.0 1359872.0 0.0 0.0 3336.0 1350144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 644.0 1347584.0 0.0 0.0 0.0 0.0


Input: 0.009294781 0.004776887 0.0044202292 0.0041970615 0.004200484 0.003907605 0.004139558 0.0041802893 0.0038858128 0.0038925444 0.00391582 0.0038504438 0.003959974 0.003878625 0.0038477054 0.0041300883 0.0043904507 0.0038997324 0.0039279135 0.0038297928 0.0039884974 0.0038975645 0.0038558063 0.0039196988 0.0038461082 0.003809484 0.0038973363 0.0038138197 0.0038394907 0.0038134772 0.003916048 0.0039109136 0.003970813 0.0037931686 0.003839947 0.0039157057 0.004002189 0.0038257996 0.0040794304 0.0038625377 0.0038253432 0.003831276 0.0043566786 0.0040290006 0.0038317323 0.003968417 0.0038564908 0.0038450814 0.0038576317 0.0038527257 0.0038586585 0.0038397189 0.0038268263 0.0038053766 0.0038310478 0.0038077726 0.0038097121 0.003866645 0.0038320746 0.0038548934 0.0038145042 0.0042052763 0.0037813028 0.0038945982 0.004053303 0.004009491 0.0038129068 0.0038681284 0.003877598 0.0039312225 0.003803323 0.0038342425 0.0038440544 0.0038528398 0.0038551216 0.003829907 0.0038647056 0.0038658464 0.003834813 0.0038510142 0.0038936853 0.0038440544 0.003847249 0.0038514705 0.003838578 0.003919927 0.003859457 0.0038821618 0.0038319605 0.0038381217 0.0038502156 0.003872464 0.0038527257 0.0038928867 0.0038265982 0.0038374371 0.003805833 0.0038793096 0.0038480477 0.0038671014 0.0038740612 0.0039348733 0.0038842156 0.003886155 0.0039001887 0.0038854706 0.00384086 0.0037952224 0.0038754304 0.003826256 0.003876229 0.0038733766 0.0038447392 0.0038356115 0.003861739 0.0038960814 0.004019303 0.0039011014 0.003832645 0.0038041216 0.0038649337 0.003856833 0.0038765713 0.0037925981 0.0038538666 0.0038478195 0.00387486 0.0038510142 0.004278296 0.003820437 0.0038478195 0.0039080614 0.0038545511 0.003882276 0.003854323 0.003806974 0.0038583162 0.0039189 0.0038159874 0.0041244975 0.003820323 0.0039037257 0.0038109673 0.0038479336 0.0039276853 0.0038278531 0.003854437 0.0038328734 0.0038845579 0.0038345847 0.0038169 0.0037840412 0.003883531 0.0038084572 0.0038187257 0.0038302492 0.003836296 0.0038256855 0.0038212356 0.0037684103 0.006432733 0.0038333298 0.0037987593 0.0038159874 0.0038171283 0.0038147324 0.0038223767 0.0037886049 0.0038341284 0.0038438262 0.0037894035 0.0038210074 0.0037611083 0.0037803901 0.003804578 0.0037932827 0.003811994 0.0038111955 0.003839947 0.0038254573 0.0038153029 0.0038076586 0.0038381217 0.0037931686 0.003871209 0.003776625 0.0038420008 0.0038163296 0.003820437 0.0038254573 0.0038157592 0.003878625 0.003947766 0.0038383498 0.0038163296 0.0039135376 0.0038397189 0.0038685848 0.0038780544 0.0038547793 0.0038238598 0.0038420008 0.003817699 0.0038213497 0.003842343 0.0037884908 0.0038150747 0.0038041216 0.0038329875 0.0038287658 0.0038453096 0.0038038935 0.003844511 0.0037956787 0.003809598 0.003822605 0.00384588 0.003808343 0.0038035512 0.0037991016 0.0038149606 0.0038159874 0.0038605982 0.003814276 0.0038156451 0.003809484 0.0037925981 0.0038268263 0.0037979605 0.0037933968 0.0038668732 0.0038206652 0.0039849607 0.003817699 0.003810625 0.003871095 0.0038126786 0.0038084572 0.0038150747 0.0038318464 0.0039280276 0.0038259136 0.0038287658 0.0038496451 0.0039047524 0.0038394907 0.0038401752 0.003827625 0.003911598 0.0037991016 0.0038293365 0.003867558 0.0038755445 0.0038254573 0.003953813 0.0047092293 0.0013837108 1.711666e-07 0.00022822212 5.1920533e-06 2.8527765e-07 0.0 5.7055534e-08 0.0 1.825777e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00032903926 1.1525218e-05 5.7055534e-08 1.711666e-07 0.0 0.0 5.7055534e-08 1.1411107e-07 5.762609e-06 0.0 0.0 0.0 3.423332e-07 0.0 2.2822213e-07 3.2521655e-06 0.00031563122 1.865716e-05 0.00020180542 2.2251657e-05 6.2761086e-07 7.417219e-07 1.1981662e-06 8.55833e-07 2.9098321e-06 1.1981662e-06 1.6146716e-05 2.8527765e-07 3.9938874e-07 2.8527765e-07 7.417219e-07 5.134998e-07 0.0003430749 8.792258e-05 1.1981662e-06 1.5404994e-06 2.1681103e-06 5.705553e-07 1.4263883e-06 1.1411106e-06 1.6546104e-06 8.55833e-07 2.2651047e-05 1.1411107e-07 1.0269996e-06 6.2761086e-07 6.2761086e-07 7.987775e-07 0.001755827 0.0005201182 0.00051806425 0.00032903926 8.215997e-06 5.36322e-06 3.3662764e-06 4.4503317e-06 0.00029737342 1.0384107e-05 0.00061654206 8.387164e-06 7.987775e-07 7.417219e-07 1.0269996e-06 1.0041774e-05 0.00057871424 0.00010481101 0.000105895066 5.8196642e-06 2.3963323e-06 1.2609273e-05 1.1182884e-05 2.9098321e-06 5.3461034e-05 7.074886e-06 0.00074577285 2.8527765e-07 1.2552217e-06 6.2761086e-07 2.2822213e-07 2.8527766e-06 0.0008584575 0.00036909225 4.2734595e-05 1.5804382e-05 5.4716256e-05 1.3236883e-05 3.177993e-05 2.105349e-05 3.868365e-05 4.2221094e-05 0.0008894387 3.3491597e-05 2.8527766e-06 2.4533879e-06 3.3662764e-06 3.446154e-05 0.00049124815 4.4332148e-05 0.00016146716 7.873664e-06 2.9041266e-05 1.5176772e-05 0.00010971779 5.9680086e-05 6.6184416e-06 5.36322e-06 0.00022091903 1.8257771e-06 3.423332e-06 2.8527766e-06 2.9098321e-06 6.0478865e-06 0.00044041165 3.206521e-05 0.00012152828 2.0368825e-05 3.617321e-05 4.484565e-05 0.00010047479 5.9052476e-05 2.5960268e-05 2.3050436e-05 0.00012877434 4.5644424e-06 3.0239432e-06 3.1380544e-06 3.0809988e-06 5.134998e-06 0.00064255943 4.9581256e-05 8.8664296e-05 6.310342e-05 8.19888e-05 4.9638315e-05 0.00014417933 9.362813e-05 2.772899e-05 0.00010104535 1.2666328e-05 9.756496e-06 1.2495162e-05 1.1182884e-05 5.1692314e-05 0.00019598576 0.00046557316 2.4020379e-05 6.8124304e-05 9.882019e-05 0.00016517576 9.653796e-05 0.00013647684 0.000109261346 3.1836986e-05 3.434743e-05 1.2666328e-05 2.4933268e-05 2.0654103e-05 1.648905e-05 8.564036e-05 0.00036218853 0.0003058747 1.4606217e-05 4.484565e-05 6.692614e-05 9.066124e-05 4.4617427e-05 8.4099855e-05 7.0292415e-05 3.177993e-05 3.4860932e-05 4.621498e-06 1.0269996e-05 7.0178307e-06 5.8196642e-06 1.7059605e-05 0.00010144474 9.48263e-05 4.1079984e-06 3.9140097e-05 3.822721e-05 7.497097e-05 3.3491597e-05 6.6869085e-05 4.9638315e-05 1.0269996e-05 8.101885e-06 4.7926646e-06 7.5313305e-06 9.699441e-06 8.786552e-06 2.78431e-05 0.000105952124 0.0005287336 5.41457e-05 6.7896086e-05 7.217525e-05 0.00016922671 0.00013219767 9.4940406e-05 0.0001062374 0.00024488234 2.8584822e-05 2.196638e-05 5.083648e-05 0.000114909846 5.9451864e-05 0.0001072644 0.00024984617 0.00090221915 0.00015810088 0.00017185126 0.00020899442 0.00032236375 0.00033993687 0.0002299338 0.00021663986 0.00056370866 8.09618e-05 7.913602e-05 0.000117819676 0.00028750283 0.0001535935 0.00027677638 0.0005644504 0.06098854 0.061065625 0.06097365 0.06078394 0.060952082 0.06095431 0.060835976 0.06102175 0.060995843 0.06098335 0.06078143 0.06092327 0.061051473 0.06088533 0.060702294 0.060978442 40343.0 6.064621 244665.0 0.011117242 0.009792983 0.009993256 0.011505528 0.013778023 0.00963358 0.018670427 0.009474179 0.009486441 0.009408783 0.027870761 0.015895203 0.009792983 0.012997364 0.010271187 0.009731674 0.0102548385 0.0094046965 0.010197617 0.009682627 0.009735761 0.009400609 0.010164919 0.009580446 0.009171724 0.009923773 0.009547749 0.009543662 0.009936035 0.021854373 0.009572272 0.009907424 0.010087262 0.009523226 0.009519138 0.009919686 0.009466005 0.010025954 0.009212597 0.010058652 0.009302516 0.009609058 0.009188074 0.009572272 0.009743935 0.009609058 0.009490528 0.009568185 0.009367911 0.009478266 0.009866552 0.009985082 0.009850203 0.009878814 0.009805243 0.009658104 0.009674453 0.009682627 0.009224858 0.009960558 0.009314777 0.009470092 0.009621319 0.009748023 0.009547749 0.010679909 0.009788895 0.010483722 0.010201705 0.011918337 0.009707151 0.010471461 0.009654017 0.010594077 0.009445569 0.00913494 0.010455112 0.009788895 0.010773916 0.010900619 0.009907424 0.009343388 0.010888358 0.01092923 0.01159136 0.010218053 0.010279361 0.009956471 0.010287536 0.009453743 0.00957636 0.009318865 0.009437394 0.009506877 0.010495984 0.009482353 6.553198 2.0 13.0 0.0 125.0 8764704.0 258048.0 0.0 0.0 122.0 0.0 1.0 1.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 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 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 140800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 5.0870876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 140768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 140768.0 114688.0 0.0 0.0 6352.0 8758352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.05196479 0.005375717 0.00360183 0.0052604927 0.003517901 0.0028350896 0.0039560385 0.00449802 0.0028606951 0.0024879938 0.005226352 0.0029986799 0.00404708 0.0031978332 0.003993024 0.003778223 0.002613176 0.003132397 0.0025420499 0.002583303 0.00406415 0.0027454707 0.003273227 0.0029403565 0.0039759534 0.0033400855 0.0033230153 0.0032661143 0.0037753778 0.004126741 0.0036359704 0.003637393 0.0060556834 0.0022319397 0.0029929897 0.003224861 0.00404708 0.0028365122 0.002936089 0.0029432015 0.006224964 0.0030442006 0.003180763 0.003284607 0.003727012 0.0033400855 0.0036217452 0.0037085193 0.003571957 0.0034382397 0.0037682652 0.0037284344 0.0036957164 0.0032902972 0.0057910937 0.0034410849 0.0040413896 0.0035733795 0.004237698 0.003392719 0.0038393913 0.0036217452 0.0039048274 0.0042832186 0.0042633032 0.0027042176 0.002463811 0.0029318214 0.0030826088 0.0038721093 0.0033841839 0.0036388156 0.0030698061 0.004381373 0.0037113642 0.003357156 0.0028678076 0.0033343956 0.0030171727 0.0034624226 0.0031978332 0.0037014065 0.0038479266 0.0028407797 0.003341508 0.0028692302 0.0035435064 0.0034709577 0.0035435064 0.0032333962 0.0038479266 0.0036544632 0.0033969865 0.0036587308 0.0036388156 0.003985911 0.0033912964 0.0033400855 0.0031964106 0.0042519234 0.0031096367 0.004485217 0.005745573 0.003732702 0.0032860297 0.00437426 0.003064116 0.0042561907 0.0059674866 0.0042633032 0.0041793743 0.0044240486 0.0035065208 0.0036231678 0.0040100943 0.0042561907 0.0050584944 0.0040513473 0.003547774 0.0038237437 0.0032632693 0.0041438113 0.00375404 0.0037981381 0.0036957164 0.004267571 0.004076953 0.0045079775 0.006970366 0.0032789172 0.002490839 0.0029104834 0.002186419 0.0028948358 0.0029460464 0.0031224394 0.0025164443 0.0026971048 0.0037170544 0.0033813387 0.003482338 0.003436817 0.0041594594 0.0036914488 0.0025292472 0.0031067918 0.004261881 0.003401254 0.003273227 0.0036174776 0.0036573084 0.0038152086 0.0027170202 0.0038095184 0.003422592 0.005485251 0.0036004074 0.003398409 0.0038635742 0.0043771053 0.003965996 0.002830822 0.006146725 0.0038450814 0.0034752253 0.0042263176 0.002911906 0.0033585783 0.0026089083 0.0033301278 0.0028734978 0.003876377 0.003276072 0.0040598824 0.0038009833 0.004264726 0.0028834555 0.0035961398 0.0030427782 0.005761221 0.003512211 0.004196445 0.003958883 0.0038635742 0.0031665377 0.0034353947 0.004034277 0.003661576 0.0033998315 0.004028587 0.0039873337 0.004354345 0.0033486206 0.0029659618 0.0026871471 0.003476648 0.0026046408 0.0037142092 0.003569112 0.0044197813 0.002493684 0.0032718044 0.0032504667 0.0042476556 0.0035790696 0.005783981 0.0043145143 0.004626047 0.0037355472 0.0040371222 0.003977376 0.0036957164 0.0028109069 0.0038749545 0.003637393 0.0044368515 0.0031451997 0.0057982067 0.003963151 0.0040499247 0.0033400855 0.0041338536 0.0036117877 0.0044098236 0.0029403565 0.0031722279 0.0031053692 0.0042789513 0.0029460464 0.003751195 0.0036416606 0.005202169 0.0045606107 0.0037768004 0.0034908731 0.004240543 0.0034183243 0.004076953 0.0037824905 0.004297444 0.0030826088 0.0037924482 0.003332973 0.0049446924 0.0038962923 0.00421067 0.0041295863 0.0040812204 0.0036231678 0.004372838 0.004223473 0.004563456 0.0041608815 0.0043827957 0.004754074 0.005441153 0.001459854 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013821567 3.5640967e-06 4.9897353e-06 7.1281934e-06 4.276916e-06 7.841013e-06 3.5640967e-06 9.266651e-06 6.415374e-06 4.9897353e-06 3.5640967e-06 2.8512773e-06 7.128193e-07 9.266651e-06 4.9897353e-06 4.276916e-06 0.0026958827 2.8512773e-06 0.0013037466 0.00013828695 3.4928147e-05 1.9246123e-05 0.000100507525 5.8451187e-05 3.5640967e-06 3.5640967e-06 2.138458e-06 4.276916e-06 4.276916e-06 2.138458e-06 2.138458e-06 3.5640967e-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 0.0012324647 8.553832e-06 1.2830748e-05 1.4969206e-05 9.266651e-06 1.1405109e-05 1.1405109e-05 1.8533303e-05 9.979471e-06 1.1405109e-05 1.4256387e-05 1.6394844e-05 1.4969206e-05 1.6394844e-05 2.4948677e-05 3.207687e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051993043 0.00029582003 0.0009929574 0.0006301323 0.00031791744 0.00017749201 0.0012837877 0.0008097628 6.557938e-05 8.9815236e-05 2.6374315e-05 6.486656e-05 9.908189e-05 7.2707575e-05 3.278969e-05 6.0589646e-05 0.005996236 0.0002544765 0.002383668 0.0002395073 0.00019246123 0.00011547673 0.00034286611 0.00020529197 0.0013842952 0.00015967153 0.0012730954 9.480497e-05 0.0001767792 9.765625e-05 9.694343e-05 0.00012545621 0.0037850707 0.00026017905 0.00026659443 0.00021313298 0.0002544765 0.00021170735 0.0008204551 0.0005132299 0.00022525091 0.00014185105 7.769731e-05 8.48255e-05 0.00017749201 7.056911e-05 0.00010834854 8.83896e-05 0.0014021157 0.00011191264 0.000729927 0.0005189325 0.00015183052 7.413321e-05 0.0010642393 0.00013971259 0.0006778912 0.00042555315 0.00062870665 0.00040274294 0.0004319685 0.00043624543 2.7087135e-05 7.6271666e-05 0.0052221147 0.0005944913 0.0006957117 0.00092381384 0.00044408644 0.00035070712 0.0020821453 0.0011925468 0.00029653285 0.00017464074 0.00019388687 0.00012117929 0.00018176893 0.00011191264 0.00015682026 0.00039632755 0.0022888628 0.00017963047 0.00036638914 0.00090029085 0.00033502508 0.00022453809 0.001290203 0.00037708142 0.0001546818 0.0005224966 0.0001660869 0.00047046077 0.00050610176 0.00051750685 0.00019388687 0.00026588162 0.002355155 0.00033074818 0.0009081318 0.00064011174 0.00033573792 0.00030009693 0.0010521214 0.00029653285 0.00060233235 0.00055742473 0.0006244297 0.0005082402 0.0005339017 0.00054388115 0.00026445597 0.00036567633 0.00188612 0.00037779426 0.00047830178 0.00051394274 0.00039704036 0.00038919935 0.00062799384 0.0004305429 0.00047830178 0.00045192745 0.000493271 0.00046333257 0.00045549156 0.00044907618 0.000398466 0.0004683223 0.07319087 0.050628707 0.049331374 0.05698064 0.05113695 0.053996064 0.056394704 0.059390683 0.050089814 0.0559164 0.055471603 0.058776233 0.055895727 0.06046419 0.059500456 0.065244354 3072.0 8.298177 25492.0 0.09096972 0.0038835714 0.008865527 0.0069041266 0.007100267 0.005452691 0.004589675 0.005491919 0.004393535 0.005609603 0.0050211833 0.0050211833 0.0140043935 0.0076886867 0.011768398 0.010199279 0.013494429 0.011376118 0.009806998 0.011572258 0.010003138 0.0072964067 0.0097285425 0.010238506 0.0080417385 0.00917935 0.010434646 0.005256551 0.005648831 0.010395418 0.005805743 0.006433391 0.004903499 0.0077279145 0.004511219 0.009297035 0.008551703 0.0071394946 0.006864899 0.009689314 0.0050996393 0.009885455 0.006433391 0.006707987 0.006433391 0.007335635 0.0051780953 0.0080417385 0.0069825826 0.005923427 0.008669387 0.008904754 0.010199279 0.008198651 0.007021811 0.008865527 0.007021811 0.0060018827 0.0071394946 0.0080417385 0.006511847 0.007100267 0.004981955 0.010277734 0.008277106 0.01741723 0.009100894 0.016475758 0.010591558 0.030793974 0.00976777 0.01153303 0.00859093 0.023301428 0.0078063705 0.010826926 0.015455829 0.015573514 0.020045504 0.025105916 0.012003765 0.0050211833 0.01875098 0.019339401 0.027538052 0.016083477 0.007335635 0.011572258 0.0074925465 0.010826926 0.008316334 0.0069825826 0.004746587 0.010591558 0.006786443 0.008630158 6.2660375 0.0 16.0 0.0 5.0 702976.0 720896.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1478770600.0 0.0 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 -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 529920.0 512.0 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 -529920.0 0.0 172032.0 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 -7.8046436 0.0 7.958162 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 -529660.0 0.0 171948.0 0.0 0.0 0.0 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 537764.0 171948.0 540672.0 0.0 0.0 0.0 0.0 12.0 712704.0 28.0 537452.0 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