Input: 0.05744182 0.0051354636 0.0039944425 0.0041820076 0.0044564083 0.0040760683 0.0037947204 0.0037356722 0.0045554014 0.003626259 0.0033483848 0.0032876 0.004155957 0.0035758945 0.003492532 0.0041160127 0.0042427927 0.0034439042 0.0034855853 0.0034612713 0.0038190344 0.0036418894 0.0036488364 0.0033032303 0.00365752 0.0033674887 0.003219868 0.0032980202 0.0035012157 0.0034421673 0.0033726988 0.0034317472 0.0043904134 0.0040621744 0.0033553317 0.0033483848 0.005625217 0.0032302884 0.003516846 0.00341438 0.004070858 0.0033918028 0.0034282736 0.0036002083 0.0036523098 0.0035620006 0.0034716916 0.003572421 0.004744703 0.0038693992 0.003742619 0.004187218 0.0039336574 0.0037686697 0.003650573 0.0039215004 0.0043660994 0.0038294548 0.0034855853 0.0039597084 0.0037148315 0.0036853075 0.0034439042 0.0036245224 0.004360889 0.0035758945 0.0034473776 0.0036470997 0.004374783 0.007219521 0.0046318164 0.0037339353 0.0035220562 0.003244182 0.0033483848 0.0032962835 0.0038798193 0.0037252519 0.0033622785 0.0033744355 0.0043209447 0.0035880513 0.0033483848 0.0038850296 0.004124696 0.0038867663 0.0040500173 0.0038294548 0.0035706842 0.003930184 0.0035012157 0.0034821117 0.0034109065 0.0037078846 0.003468218 0.0035203195 0.0033848558 0.0038381382 0.0033431747 0.0034907954 0.0037096215 0.0041924277 0.0033987495 0.0033813824 0.0039336574 0.003975339 0.0037165682 0.003365752 0.003791247 0.003645363 0.003669677 0.0038364015 0.0036939909 0.0034282736 0.0039805486 0.0035376868 0.0049131643 0.00474644 0.0033918028 0.0033553317 0.0034178535 0.003353595 0.0035012157 0.0035203195 0.0037096215 0.0036748871 0.0034300105 0.003353595 0.0038850296 0.0034769017 0.0034439042 0.005218826 0.0037252519 0.004124696 0.0033014936 0.0033570684 0.00390587 0.0055453284 0.0035793679 0.006622091 0.0035255298 0.0045085098 0.0033553317 0.0035012157 0.003370962 0.0031243488 0.0036401527 0.003212921 0.0035481069 0.0034178535 0.003268496 0.0032876 0.0036592567 0.0034195902 0.0032424452 0.0035654742 0.0034421673 0.00341438 0.0031747133 0.0034421673 0.00353595 0.003268496 0.003299757 0.0035081625 0.003304967 0.0032945466 0.0034004862 0.0032737062 0.003749566 0.0033883292 0.0032719695 0.0036800972 0.0035585272 0.0033153873 0.003445641 0.0032719695 0.0034664813 0.003256339 0.0033865925 0.003225078 0.0033674887 0.003390066 0.0033188607 0.003153873 0.003584578 0.003190344 0.0033553317 0.0031573463 0.0034404306 0.0033796458 0.0034595346 0.0034960057 0.00413859 0.0035550538 0.0033518584 0.0037443556 0.0036401527 0.003523793 0.0033032303 0.0039701285 0.0035620006 0.0034126432 0.0033205973 0.0031851337 0.003718305 0.0034821117 0.0033483848 0.003212921 0.0040743314 0.0035498438 0.003244182 0.0034664813 0.004538034 0.0046491837 0.0036071553 0.003390066 0.0036175756 0.003438694 0.0032841265 0.0033952761 0.003523793 0.0034491143 0.0032858632 0.0032424452 0.004246266 0.0034300105 0.0033952761 0.0033205973 0.0037165682 0.0033205973 0.003329281 0.0033101772 0.005017367 0.0035880513 0.0033970128 0.0039232373 0.0040864884 0.0032771796 0.003358805 0.003463008 0.0037582493 0.0034282736 0.0034647447 0.0035515805 0.0035324765 0.0035185828 0.0035949983 0.0036279957 0.003966655 0.003523793 0.0035863146 0.0034161168 0.0038971866 0.0038607155 0.0036992012 0.010682529 0.012477718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0062266737 5.048184e-05 6.963012e-05 4.003732e-05 0.00014013062 6.614862e-05 0.0001671123 0.000107926695 4.003732e-05 1.0444519e-05 2.0889038e-05 2.262979e-05 4.787071e-05 1.9148285e-05 4.6129957e-05 5.4833723e-05 0.0029775582 7.572276e-05 7.137088e-05 3.3944685e-05 7.920427e-05 3.307431e-05 0.00015318628 5.57041e-05 1.1314895e-05 6.9630123e-06 4.3518826e-06 7.833389e-06 1.0444519e-05 2.524092e-05 3.4815062e-06 1.5666777e-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 0.0026825005 9.4000665e-05 8.355615e-05 3.1333555e-05 0.00017233456 4.003732e-05 4.003732e-05 5.048184e-05 5.1352217e-05 2.3500166e-05 3.742619e-05 2.6981674e-05 3.2203934e-05 7.137088e-05 8.094502e-05 4.7000332e-05 0.0024649063 3.1333555e-05 3.1333555e-05 0.0003342246 0.00016189004 5.1352217e-05 4.3518827e-05 4.525958e-05 4.4389206e-05 2.8722427e-05 5.3092972e-05 3.3944685e-05 2.262979e-05 3.829657e-05 0.00010879707 7.137088e-05 0.0018495502 2.4370544e-05 7.224125e-05 4.525958e-05 0.00031507632 8.964878e-05 0.0005135222 0.00028026124 4.4389206e-05 2.001866e-05 2.001866e-05 1.6537155e-05 2.6111296e-05 0.00014796402 5.7444853e-05 4.264845e-05 0.005976876 0.00023500167 0.00043344754 0.0007433016 0.00034728023 0.00026198334 0.0008338207 0.00044737355 0.00030115028 0.00013838988 0.000134038 0.0001296861 0.00016798268 0.0001444825 0.00017581607 0.00022455715 0.0021646265 0.00013316762 0.0003342246 0.00012533422 0.00023935355 0.00013142686 0.0009574142 0.0005187444 0.000112278576 3.568544e-05 3.6555815e-05 4.3518827e-05 4.4389206e-05 5.6574478e-05 2.9592804e-05 0.00038470645 0.003834879 0.00041691036 0.0006049117 0.004647811 0.00078507967 0.00048741087 0.00079987606 0.0006597454 0.00067715294 0.0003707804 0.00037687304 0.0003603359 0.00039776208 0.0005422446 0.0004421513 0.0006388564 0.0025127772 0.00017755682 0.000282002 0.00016885305 0.0003525025 0.00020279773 0.00069543085 0.00050220726 0.00045520693 0.00012098234 0.00012446386 0.00016537154 0.00017929757 0.00016885305 0.00022107565 0.00080074643 0.009008397 0.0010348777 0.0021080521 0.0015518814 0.004630403 0.0017938461 0.0008346911 0.001375195 0.0043466603 0.000751135 0.00062928227 0.00068585674 0.0014465658 0.0029766879 0.0018913283 0.004150826 0.0114454515 0.0025092957 0.0033709684 0.0029575396 0.0044258647 0.004535532 0.0021950896 0.0035189325 0.0073947194 0.00092956214 0.0010174701 0.0011166931 0.0036860448 0.0017642532 0.0032351897 0.0065034535 0.05270304 0.051556755 0.05224261 0.051236458 0.05110764 0.051985852 0.051407922 0.0514967 0.05165859 0.051841367 0.052182555 0.051084142 0.050482713 0.051877055 0.051972795 0.05225828 2723.0 7.4759455 20357.0 0.023824729 0.007122857 0.007368473 0.006435133 0.010610601 0.00717198 0.00731935 0.007073734 0.008743921 0.006435133 0.0076140887 0.007712335 0.008842167 0.008596552 0.009628138 0.008350936 0.019551015 0.01341062 0.010708847 0.011052709 0.011445695 0.010807093 0.011494817 0.011347448 0.013459744 0.010708847 0.009529891 0.010021123 0.010463231 0.008547428 0.010364985 0.010364985 0.008596552 0.010364985 0.007712335 0.011298325 0.009972 0.009136906 0.008547428 0.009922877 0.009480768 0.008007074 0.00810532 0.00717198 0.009922877 0.009284276 0.007368473 0.008989537 0.013263251 0.00731935 0.009480768 0.01434396 0.010905339 0.007122857 0.010315862 0.010905339 0.007859704 0.008301812 0.00810532 0.006778995 0.007810581 0.0063368864 0.006140394 0.0072702263 0.008449182 0.017684335 0.008694798 0.014098344 0.01341062 0.024659822 0.00810532 0.010266739 0.011986049 0.019403646 0.008154443 0.007368473 0.017880827 0.010512355 0.018273812 0.020533478 0.012772019 0.0076140887 0.019551015 0.013656236 0.025200177 0.011396571 0.007663212 0.0066316254 0.009972 0.00903866 0.00825269 0.00731935 0.008989537 0.0063860095 0.007024611 0.006778995 6.490616 0.0 12.0 0.0 13.0 575800.0 581632.0 0.0 0.0 83.0 1.0 1.0 1.0 0.0 0.0 1541379600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 0.0 5.0 0.0 49152.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 -147456.0 0.0 0.0 0.0 339968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.371197 0.0 0.0 0.0 0.0 -7.996146 0.0 0.0 0.0 7.9887433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4839354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.452121 0.0 3.187438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5808.0 0.0 0.0 0.0 0.0 -146907.0 0.0 0.0 0.0 338276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47557.0 0.0 952.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121.0 389468.0 952.0 569344.0 0.0 0.0 6456.0 569344.0 5808.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 352.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.08576535 0.0073824986 0.0041581797 0.004407978 0.012619294 0.004857615 0.003485646 0.0021738852 0.008887693 0.0023147971 0.0017383395 0.0016358582 0.0047192653 0.0020701229 0.019047435 0.0035804415 0.014048909 0.0011670061 0.00089030655 0.001081178 0.0032473772 0.003913506 0.0016922229 0.0009466713 0.0031474577 0.001231057 0.00082241267 0.0010363425 0.0028899736 0.00095051434 0.0008236937 0.00094795227 0.003953217 0.0007878252 0.0011106414 0.00086596725 0.01446652 0.0018677223 0.0008262557 0.00085956213 0.0018856565 0.018729744 0.0010299374 0.0016102379 0.0015051945 0.0009902258 0.0013232902 0.0009005547 0.0029553054 0.0026619525 0.0024236834 0.0043234313 0.0024044681 0.0030923742 0.0016320152 0.0015192857 0.0022417791 0.001766522 0.001617924 0.003156425 0.0024352125 0.0016063949 0.019289548 0.0032883696 0.008463677 0.003242253 0.0023007058 0.0022699614 0.0058081294 0.0232607 0.002319921 0.00146164 0.0024070302 0.0014770122 0.0017140002 0.0010286564 0.00480125 0.0047282325 0.0015525921 0.0011388238 0.005628787 0.0036444922 0.0024518657 0.003073159 0.021481367 0.004409259 0.0038955715 0.002708069 0.0017690839 0.0015769314 0.0014834172 0.001464202 0.0017652409 0.0018100765 0.0019907 0.0029745207 0.0011682871 0.0034087852 0.0010901451 0.0017652409 0.004478434 0.004500211 0.0016115189 0.0016127999 0.021328926 0.0034459347 0.002699102 0.0010683679 0.0031500198 0.0014014322 0.002765715 0.0026388941 0.0018305727 0.00075067574 0.0039480934 0.003228162 0.007651512 0.0037585027 0.0014001512 0.0011772542 0.0013975891 0.0012489912 0.0008787774 0.0007468327 0.019484263 0.0015115996 0.0011260136 0.00087621534 0.002159794 0.0015333769 0.018555526 0.006971292 0.0024544278 0.0029975788 0.0009441092 0.0007481137 0.0018190435 0.008090901 0.001464202 0.023315784 0.0016627596 0.0070084417 0.00087365333 0.0006699717 0.001236181 0.00085187604 0.0008429089 0.001081178 0.0012144038 0.00096972956 0.00077501504 0.0007199313 0.0009812587 0.00087365333 0.0007276174 0.018332629 0.0010171272 0.0007481137 0.0008570001 0.00068790594 0.0010196893 0.036853567 0.0007481137 0.0011657252 0.0010363425 0.00067381473 0.00061104493 0.0006379463 0.00092233194 0.0007058402 0.0007583618 0.0006840629 0.0009761347 0.018367216 0.00077501504 0.018738711 0.0014296145 0.0008147266 0.00065844256 0.0008313798 0.0013053559 0.0008147266 0.0013002319 0.0011913455 0.001849788 0.001082459 0.0009082408 0.0008723723 0.0010145651 0.00085828116 0.0009761347 0.00084931403 0.0038571411 0.0021392978 0.001999667 0.002463395 0.0038059005 0.0009543574 0.002464676 0.0033357672 0.0017114382 0.0012630824 0.00085187604 0.0010286564 0.013606958 0.0008813394 0.0013937461 0.0010542767 0.019157603 0.0010504336 0.0011055174 0.0011388238 0.0010619628 0.00088774454 0.00091208384 0.0009082408 0.0015244097 0.018609328 0.018458169 0.0010517146 0.0012797356 0.00085187604 0.01852222 0.00086852926 0.0024557088 0.0009415472 0.0010414665 0.0008006354 0.0015474681 0.0012118417 0.00072377437 0.00074555166 0.006097639 0.002164918 0.0010184082 0.0021866953 0.0024057492 0.00089286856 0.00082241267 0.001001755 0.0019394591 0.0011298567 0.0008570001 0.0008890255 0.01941893 0.00080832146 0.001314323 0.0011708492 0.002468519 0.0012015935 0.0010440286 0.0009646055 0.019963363 0.001156758 0.0015218478 0.017218145 0.0013140604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007931843 0.00010586913 0.00011677686 8.341204e-05 0.00010779402 0.00030028334 0.00013730905 9.8169556e-05 6.8012894e-05 2.8231767e-05 3.2081552e-05 2.8873399e-05 4.3630913e-05 2.8873399e-05 3.2081552e-05 5.5180273e-05 0.0031241018 4.0422758e-05 7.0579415e-05 0.00019698073 2.8873399e-05 7.3145944e-05 3.9139497e-05 3.0156662e-05 8.6620195e-05 2.5665244e-05 2.6306874e-05 7.2504314e-05 2.4381981e-05 3.3364817e-05 2.1815456e-05 4.8122332e-05 0.013048209 0.001928743 0.0004254014 8.9828354e-05 0.00013025111 7.5712465e-05 0.000109718916 7.9562255e-05 7.8278994e-05 0.00032017392 8.8545086e-05 7.2504314e-05 8.341204e-05 6.8012894e-05 0.00018286485 0.0016156271 0.009077155 0.00062623195 0.00084502815 0.00037022113 0.00045234992 0.00028552584 0.001130554 0.00067371264 2.951503e-05 9.2394876e-05 2.7590137e-05 2.374035e-05 2.5665244e-05 4.6839068e-05 0.00017901507 0.00056912674 0.007156753 0.00067435426 0.00082898734 0.00039716964 0.00068141223 0.0003715044 0.002212344 0.0011055303 6.0313323e-05 8.341204e-05 6.2238214e-05 8.341204e-05 6.672963e-05 8.5978565e-05 0.00012575969 0.0004587662 0.0051401067 0.00029386702 0.0011876591 0.0024394814 0.011759815 0.0072183497 0.011763022 0.0069912123 5.0047223e-05 5.1330488e-05 2.3098719e-05 4.0422758e-05 3.4648077e-05 6.4804735e-05 0.0001238348 0.00012447643 0.0032254795 0.00016874897 0.00084374484 0.00088095944 0.0015553137 0.0008950753 0.0030272154 0.0016419339 0.00030926618 6.0954953e-05 4.4914177e-05 9.431977e-05 0.00011613523 0.00010715239 6.8654525e-05 0.00010073608 0.009849037 0.0013647493 0.0014731849 0.010585629 0.0019794318 0.001495642 0.0025511251 0.0019781487 0.0021180243 0.0009958114 0.00085978565 0.001160069 0.0012293651 0.0010805067 0.0009816956 0.0010336677 0.016698448 0.0030073249 0.0015880369 0.001972374 0.0067076115 0.0043175356 0.002288698 0.0016791485 0.0107075395 0.00077444874 0.00044721685 0.001666316 0.0029245545 0.00094512256 0.0024683548 0.0035681105 0.061405376 0.014233944 0.027606176 0.023895625 0.027742203 0.028879173 0.02122323 0.022115098 0.043871526 0.017429266 0.06510887 0.002868091 0.01975903 0.06577745 0.008551017 0.04493471 0.019301547 0.0074621695 0.006706328 0.004832765 0.0059973258 0.0074223885 0.0029123635 0.0039415397 0.013358759 0.0008873758 0.0015540305 0.0014455948 0.009265153 0.0026480115 0.004370791 0.0077624526 0.0111759305 0.008960378 0.011033488 0.010703689 0.010887196 0.010839716 0.010749245 0.010671608 0.01061707 0.011156681 0.016455913 0.009177249 0.00927221 0.016547024 0.008939204 0.01283968 2869.0 20.05542 57539.0 0.018474426 0.0011470481 0.0020681624 0.0010949095 0.021255149 0.001981265 0.0009906325 0.0012339457 0.0019117468 0.0023636143 0.0008689758 0.0012513252 0.002798102 0.0012687047 0.0029371383 0.0026764455 0.009941083 0.008046716 0.009072107 0.0058395173 0.0071777403 0.0047619874 0.006082831 0.005005301 0.0066389753 0.0056135836 0.0057004816 0.005891656 0.009019969 0.005057439 0.008342168 0.030083943 0.08769704 0.026503762 0.0076817465 0.015693704 0.014216444 0.010531987 0.008029337 0.0040146685 0.0048662648 0.0046229516 0.0054919273 0.0020681624 0.0133127095 0.005179096 0.0039451504 0.0018596082 0.008933071 0.007838162 0.0071256016 0.019864788 0.020420931 0.006969186 0.022854064 0.0131389145 0.007699126 0.0027459636 0.010219156 0.002659066 0.0024157527 0.002589548 0.002554789 0.019899547 0.0017031926 0.03455048 0.005856897 0.014929005 0.01835277 0.045238882 0.0036149395 0.010027981 0.0109838545 0.033003703 0.0026938252 0.0033194877 0.024366083 0.008081475 0.026677558 0.025669547 0.00825527 0.0011818071 0.040077165 0.026920872 0.050383218 0.011348824 0.0037539755 0.0026938252 0.0035106624 0.0055093067 0.0013556023 0.0007473192 0.0017727107 0.0009558734 0.0012339457 0.0009906325 5.812797 0.0 0.0 1.0 7.0 780630.0 806912.0 1.0 473.0 238.0 1.0 1.0 0.0 0.0 0.0 1474228900.0 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 9.0 0.0 5.0 0.0 5.0 0.0 269312.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -635392.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.276518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9212184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5549529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.459783 0.0 5.2329106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19106.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -637828.0 0.0 5456.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 -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 -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 0.0 1.0 -1.0 -3.0 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 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 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 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 -2.0 0.0 -1.0 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 -1.0 0.0 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 2.0 0.0 0.0 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 -2.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 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 2.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 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 -1.0 1.0 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 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -3.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 2.0 1.0 -1.0 -1.0 3.0 -3.0 -3.0 -1.0 -1.0 1.0 -1.0 2.0 -2.0 1.0 2.0 -1.0 1.0 1.0 -1.0 -2.0 -1.0 -1.0 2.0 1.0 0.0 1.0 -2.0 -1.0 1.0 2.0 -3.0 0.0 0.0 3.0 0.0 -1.0 -1.0 -3.0 -2.0 1.0 1.0 -1.0 1.0 -1.0 0.0 3.0 -1.0 2.0 -1.0 -2.0 -2.0 4.0 0.0 1.0 -1.0 -4.0 0.0 -3.0 1.0 -1.0 1.0 -1.0 0.0 3.0 0.0 0.0 2.0 1.0 1.0 3.0 -1.0 3.0 -1.0 0.0 0.0 3.0 2.0 -1.0 -2.0 0.0 -2.0 0.0 3.0 1.0 0.0 -2.0 -2.0 -2.0 1.0 1.0 -2.0 -1.0 0.0 1.0 0.0 2.0 1.0 2.0 0.0 -2.0 1.0 2.0 -2.0 1.0 0.0 0.0 -1.0 3.0 3.0 -1.0 5.0 4.0 -1.0 2.0 -2.0 -2.0 2.0 0.0 1.0 -2.0 -1.0 -2.0 0.0 3.0 0.0 -1.0 34288.0 351664.0 240.0 342764.0 5456.0 409600.0 0.0 0.0 0.0 0.0 16392.0 417792.0 28.0 276144.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 322080.0 0.0 0.0 1624.0 274432.0 0.0 0.0 0.0 0.0


Input: 0.37188083 0.0028049578 0.0025670822 0.0025644244 0.0026794702 0.002584358 0.0023829327 0.0024159655 0.0026677 0.0023819834 0.0023696434 0.0023759084 0.0025069013 0.0023876787 0.0023316746 0.002551515 0.0025693602 0.0023810342 0.0023257893 0.0023111713 0.0024968395 0.0024600097 0.0022999705 0.0023240808 0.002441215 0.0023512286 0.002383882 0.002339648 0.0023557849 0.002348191 0.0023565441 0.0023483809 0.0025695502 0.0023624294 0.0023734404 0.0023603411 0.0029646172 0.002383882 0.0023582529 0.0023721114 0.0024286853 0.0023390786 0.0023398378 0.002530442 0.0023966015 0.0023341426 0.0024283056 0.0025165833 0.0026067598 0.002633148 0.0025915722 0.0026587772 0.0025359476 0.002531771 0.0025610072 0.002534049 0.0026094175 0.002613594 0.0023711622 0.0024736784 0.002415396 0.0023791357 0.002310412 0.0023865397 0.002689532 0.0027087063 0.0025598682 0.0025858767 0.002717819 0.0027781897 0.002657828 0.002601444 0.0032962763 0.0026031528 0.002523228 0.0025621462 0.0027052893 0.002629541 0.0025813205 0.0025260756 0.0026866845 0.0025911925 0.002609987 0.0026415014 0.0026648522 0.0026190996 0.002658018 0.0026466271 0.0026280223 0.002593091 0.0025393649 0.0023709724 0.0023816037 0.0024089413 0.0023939437 0.0024917137 0.0024013475 0.0026200488 0.0025887245 0.0026301106 0.0026238458 0.002703201 0.002634477 0.002552844 0.0026441591 0.0026407419 0.002666561 0.0025080405 0.0026377044 0.0026073293 0.0026266933 0.0025970777 0.0026010643 0.002511078 0.0026538412 0.0026139738 0.0029209529 0.0027464856 0.0025323406 0.0025547422 0.0025653737 0.0025266453 0.002518292 0.002333383 0.0024144468 0.0023707827 0.0023743897 0.0023797052 0.0024262173 0.0024328618 0.0023658467 0.0027419294 0.0026779515 0.0026082785 0.002364138 0.0023721114 0.0024343806 0.002873112 0.0024036258 0.0032529917 0.00236186 0.00253291 0.0023293963 0.0023318643 0.0024199523 0.0023529371 0.0023438246 0.002341926 0.0023588224 0.002320094 0.0023901467 0.0023216128 0.0022844032 0.0023350918 0.0023497099 0.0023489504 0.0023671754 0.0023442043 0.002364328 0.002342116 0.0023578731 0.0023745794 0.0023559746 0.002339458 0.0023835022 0.0023639482 0.0023462926 0.0023343323 0.002360531 0.0023451536 0.002331105 0.0023512286 0.0023012992 0.0023193345 0.0023345223 0.0022743414 0.0023459129 0.0023491404 0.002327308 0.0023470519 0.0023462926 0.0023578731 0.0023912857 0.0023523676 0.0024161555 0.0023857802 0.002400968 0.0023434449 0.0023438246 0.0023652771 0.0023611004 0.0023603411 0.0025985965 0.0024558331 0.0023956522 0.0024943715 0.0024271666 0.0023166768 0.0026377044 0.0025241773 0.0024273563 0.0023943232 0.0023652771 0.0023741997 0.0024518464 0.0023214228 0.0023590121 0.0023552154 0.002380085 0.0023559746 0.0023852107 0.0023586324 0.0023430653 0.0023542661 0.0023611004 0.0023823632 0.00238635 0.0023324338 0.0023417363 0.0023745794 0.0023601511 0.0023128798 0.002359392 0.0023400276 0.0023770474 0.0023472419 0.002348191 0.0023440144 0.0023762882 0.0023193345 0.0023415464 0.0023903365 0.0026177708 0.0023852107 0.0023798952 0.0024693122 0.002491524 0.0023069947 0.0023500894 0.0023544559 0.0024246986 0.0023354713 0.002366606 0.0024152063 0.0023797052 0.0023500894 0.0023933742 0.0023829327 0.0024594401 0.002375149 0.0023732507 0.002362999 0.002439886 0.0023561646 0.0024066633 0.0032205281 0.356785 0.0 1.1392913e-06 3.7976375e-07 1.8988188e-06 2.2785825e-06 2.2785825e-06 2.6583464e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055996166 1.2342322e-06 1.2342322e-06 1.519055e-06 1.2342322e-06 9.494094e-07 5.2217515e-06 3.9875194e-06 6.645866e-07 5.6964564e-07 1.613996e-06 8.5446845e-07 9.494094e-07 1.0443504e-06 8.5446845e-07 1.4241141e-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 0.0022162064 2.4494762e-05 3.7121907e-05 1.5095609e-05 2.2785825e-05 2.9906396e-05 8.53519e-05 3.845108e-05 9.304212e-06 4.841988e-06 1.015868e-05 7.690216e-06 1.006374e-05 3.5128148e-06 5.03187e-06 7.690216e-06 0.0011578047 1.5950078e-05 1.7848897e-05 1.0823267e-05 1.7279252e-05 3.2090036e-05 3.3893913e-05 2.0981948e-05 8.06998e-06 4.0824602e-06 5.6015156e-06 4.841988e-06 5.8863384e-06 1.5285492e-05 4.367283e-06 6.266102e-06 0.00031112146 2.0887007e-06 3.9875194e-06 2.0887007e-06 2.0887007e-06 1.7089369e-06 1.4241141e-06 4.0824602e-06 1.5285492e-05 9.589035e-06 1.8513483e-05 2.0887007e-06 3.03811e-06 3.9875194e-06 2.5634054e-06 5.2217515e-06 0.0009914682 3.522309e-05 4.2533542e-05 2.6678405e-05 1.6804546e-05 3.142545e-05 5.2312458e-05 4.566659e-05 4.0824605e-05 1.110809e-05 8.06998e-06 1.613996e-06 1.4336082e-05 4.747047e-06 1.0918208e-05 2.734299e-05 0.0012202759 2.1931357e-05 4.5096946e-05 2.933675e-05 4.2913303e-05 3.4938264e-05 9.636505e-05 6.474972e-05 3.7311787e-05 1.4620905e-05 1.7469132e-05 2.1741474e-05 2.231112e-05 2.6393582e-05 1.6994429e-05 3.750167e-05 0.00033039445 6.455984e-06 1.6804546e-05 9.399153e-06 2.1551594e-05 1.5855137e-05 9.190283e-05 4.7660353e-05 7.975039e-06 4.841988e-06 5.03187e-06 5.1268107e-06 5.03187e-06 5.03187e-06 4.747047e-06 5.5065743e-06 0.0007487992 3.142545e-05 0.00022083262 0.0009300414 0.0014442416 0.0010551736 0.001514118 0.0010712186 2.943169e-05 1.6899487e-05 1.41462e-05 2.3925117e-05 1.8418543e-05 1.9083129e-05 3.7596612e-05 1.8893246e-05 0.0015694686 7.272476e-05 0.00036818098 0.00094143435 0.0015181056 0.0011218222 0.0015148777 0.0010936246 0.0002409601 4.8989525e-05 6.484466e-05 6.0002672e-05 0.00015940584 5.8103855e-05 4.6046356e-05 6.560419e-05 0.00082066946 5.2312458e-05 0.00016709605 0.00014611411 0.00028956987 0.00018238154 0.0002033635 0.00015940584 0.00017431156 2.5918876e-05 2.0032538e-05 2.3355471e-05 0.0001335819 2.8102519e-05 4.984399e-05 5.1647872e-05 0.0011592289 8.050992e-05 0.0001115556 0.00012551193 0.00025121373 0.00017725474 0.00014915221 0.00014298105 0.00029460175 4.6426117e-05 3.6932026e-05 6.5319364e-05 0.0001493421 8.269356e-05 8.9529305e-05 0.00014877245 0.0030897579 0.00046606507 0.00050964294 0.00050242746 0.001419462 0.00078088924 0.00034700913 0.00055806286 0.0016853915 0.00016861511 0.00018266636 0.00028653175 0.00087260216 0.00026915755 0.00050964294 0.0009906137 0.0012032815 0.00026640427 0.00030086783 0.00022396568 0.000594805 0.0003550791 0.00018048272 0.00027219567 0.00077044574 0.00010937196 0.000102346334 0.00010718832 0.00043359527 0.0001514308 0.00026602452 0.00049568666 0.037194822 0.037020322 0.037219696 0.037253875 0.037088774 0.037109755 0.037409578 0.037097886 0.037202608 0.037126463 0.03699326 0.037190836 0.03707757 0.037066653 0.037161972 0.037186086 15668.0 10.016084 156932.0 0.0069138226 0.0058432953 0.0055947797 0.005460964 0.0061937654 0.005938878 0.005760457 0.005531058 0.0056585018 0.005486453 0.005728596 0.011648357 0.0059834835 0.00544822 0.006678052 0.011801289 0.011915989 0.011960594 0.012272832 0.012234598 0.01174394 0.011775801 0.011814035 0.011641985 0.012330181 0.012655163 0.005728596 0.0056457575 0.0053717536 0.005352637 0.005422731 0.0059197615 0.0058751563 0.014299187 0.011922361 0.01326052 0.012833584 0.012986517 0.012929167 0.012164504 0.012667907 0.012221854 0.011763057 0.012253715 0.013279637 0.012126272 0.012597813 0.012317437 0.012463997 0.012196366 0.01357913 0.013566385 0.012769862 0.012578697 0.012680652 0.012604185 0.01229832 0.012049805 0.012202738 0.0055501745 0.005792318 0.005938878 0.0058879005 0.008704407 0.005633013 0.013942344 0.011775801 0.013470802 0.01387225 0.016395636 0.012330181 0.012699768 0.012623302 0.014197232 0.012508603 0.011278771 0.013840389 0.01282084 0.014209976 0.014203604 0.012636046 0.011310631 0.014840823 0.013878623 0.01524227 0.012406647 0.012597813 0.012132644 0.011877756 0.0129674 0.01148268 0.0055820355 0.005288915 0.0052060764 0.0055501745 0.0053781257 6.5022726 6.0 1.0 0.0 91.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.72655296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 5.991379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.01261176 0.004298519 0.0040906677 0.004113851 0.004188198 0.00403151 0.0041786046 0.0039044013 0.0039275847 0.0040371064 0.0038620317 0.0038748225 0.0038508398 0.0039515677 0.003832453 0.0039771493 0.003870026 0.0038836163 0.0037852868 0.0039060002 0.0037357223 0.0038404472 0.0038484414 0.0038940087 0.0038780202 0.0037301262 0.0037381204 0.0038764214 0.0038372495 0.0037868856 0.003699748 0.0038388483 0.0040451004 0.0038228598 0.003921989 0.0038020746 0.0040642866 0.0038580345 0.0038028741 0.0038860145 0.0037828884 0.0038900117 0.0038524386 0.0038900117 0.003770897 0.003858834 0.003980347 0.0038292552 0.004372066 0.0040211175 0.003881218 0.0038636306 0.0038340518 0.003896407 0.003842046 0.0039211893 0.003922788 0.0038620317 0.0038852151 0.0038412465 0.0038412465 0.003814066 0.0038828168 0.003924387 0.003988341 0.003926785 0.0038940087 0.0038900117 0.003937178 0.0038292552 0.003694152 0.003877221 0.0039763497 0.0038860145 0.0038764214 0.0039331806 0.0038852151 0.00393398 0.003896407 0.0037900833 0.0038236591 0.0038060718 0.0038716248 0.0039683557 0.003939576 0.003957963 0.0039067995 0.00394837 0.0038612322 0.0037772923 0.0039067995 0.0037581061 0.003765301 0.0038660287 0.003886814 0.0038508398 0.00379488 0.0039683557 0.0037772923 0.0039603612 0.0039851433 0.0040562926 0.003953966 0.003995536 0.0038900117 0.0040866705 0.003821261 0.0037892838 0.0039547654 0.003950768 0.0039523668 0.0039531663 0.0039067995 0.00380847 0.0040251147 0.0040474986 0.0041026594 0.003939576 0.0037788914 0.0038916105 0.0037716965 0.003924387 0.0039179916 0.0037069428 0.0038500403 0.0037732953 0.003842046 0.0038988052 0.003950768 0.0038124672 0.0039307824 0.0038396476 0.0038260575 0.0038012753 0.0039643585 0.0038060718 0.0037229315 0.0038836163 0.0038540375 0.0038668283 0.0039531663 0.0038468426 0.0037285273 0.0038180633 0.003858834 0.00379488 0.0037732953 0.0038204615 0.0038924098 0.003798877 0.003748513 0.003699748 0.0037884845 0.0038020746 0.0039515677 0.0038108684 0.0038268568 0.003811668 0.0038460433 0.0038036734 0.0038380488 0.0039699543 0.003881218 0.0038820175 0.00383645 0.003921989 0.0037669 0.0037940803 0.0038292552 0.0038636306 0.0038380488 0.0039012036 0.0038652294 0.0038092695 0.0038404472 0.00379488 0.003787685 0.0038884128 0.0037676992 0.003748513 0.0038292552 0.003909198 0.0037421177 0.003862831 0.0038228598 0.0036869573 0.0038012753 0.0037732953 0.0038372495 0.003832453 0.0038220603 0.003853238 0.0038036734 0.003875622 0.003896407 0.0039307824 0.003917192 0.0038636306 0.0038740232 0.0038092695 0.0038340518 0.0038692264 0.0038972064 0.0038820175 0.0037684988 0.003834851 0.003847642 0.0039195903 0.0038396476 0.003832453 0.003875622 0.003862831 0.00386443 0.003870026 0.0037716965 0.0038404472 0.003821261 0.003907599 0.003877221 0.0037445158 0.0038708253 0.0038748225 0.0038340518 0.0037413181 0.0038404472 0.003849241 0.0037629027 0.0037868856 0.0038188626 0.003769298 0.0038196621 0.0038436449 0.0037748942 0.0038724241 0.0037772923 0.003834851 0.0038804186 0.0037956792 0.0038172638 0.0038556363 0.003821261 0.0036629743 0.0038108684 0.0038396476 0.0038180633 0.003765301 0.0038652294 0.0037285273 0.0037101405 0.0037325246 0.0037916822 0.003782089 0.003776493 0.0038164645 0.0037852868 0.0059813126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007172131 5.6032272e-06 8.4048415e-06 2.7615906e-05 6.803919e-06 4.8027664e-06 4.8027664e-06 2.4013832e-06 1.12064545e-05 3.2018443e-06 2.8016136e-06 4.002305e-06 5.202997e-06 5.6032272e-06 2.8016136e-06 7.2041494e-06 0.0020860014 4.0023053e-05 2.5614754e-05 5.6032273e-05 1.4008068e-05 1.560899e-05 1.600922e-05 1.0005763e-05 6.4837346e-05 1.52087605e-05 1.4408299e-05 1.600922e-05 2.3613602e-05 2.0011526e-05 2.2012679e-05 1.9611296e-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 0.000631964 2.2012679e-05 2.5614754e-05 1.600922e-05 2.2412909e-05 4.002305e-06 2.5614754e-05 6.4036885e-06 1.32076075e-05 7.2041494e-06 6.803919e-06 8.805072e-06 2.8016136e-06 7.2041494e-06 4.8027664e-06 1.480853e-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 0.0016213339 3.4019595e-05 0.00018010374 0.00017970351 0.00011126409 4.5626282e-05 0.00024454086 0.00012807376 0.00012367124 7.0840804e-05 4.4825818e-05 6.923988e-05 9.685579e-05 6.603804e-05 7.60438e-05 0.00018650743 0.00038822362 2.0011526e-06 3.8822363e-05 5.0829276e-05 3.081775e-05 1.0405994e-05 3.3219134e-05 1.6809683e-05 2.6815445e-05 5.8033427e-05 3.2018443e-06 1.2407147e-05 5.0429047e-05 3.2018443e-06 4.8027664e-06 8.9651636e-05 0.00065597787 1.480853e-05 0.000115666626 0.0002045178 0.00010205879 2.7615906e-05 0.00018810834 9.645556e-05 5.283043e-05 0.0001468846 0.00010165855 6.68385e-05 0.0001324763 0.00013167584 0.00012807376 0.00029336897 0.0017998368 0.00015528945 0.00055471953 0.00044225474 0.00063436537 0.00043585105 0.0006948002 0.0004890817 0.0004666688 0.0002845639 0.0005178983 0.00021732519 0.0005687276 0.00035220286 0.0003117796 0.0010910284 0.0024306 0.0005915407 0.00087730534 0.0011034355 0.0006659836 0.0007524334 0.0013807954 0.0009777632 0.0006219582 0.0004258453 0.0005775327 0.00035580495 0.00049228355 0.0004862801 0.00039502754 0.0009801646 0.0619817 0.06031114 0.060233496 0.060517658 0.060654137 0.060628522 0.060236696 0.060444016 0.06025751 0.060075402 0.0604188 0.060266312 0.06050165 0.060411196 0.06021228 0.060062595 5894.0 6.25246 36852.0 0.017041137 0.010067296 0.009605992 0.009117551 0.010420059 0.009578856 0.0086833825 0.00881906 0.009524585 0.009334636 0.009280365 0.008791924 0.009823076 0.01047433 0.01359492 0.013323564 0.016525561 0.013025073 0.0108542275 0.010420059 0.010365788 0.010365788 0.008710518 0.009388907 0.01004016 0.010094432 0.0097416695 0.008194942 0.010067296 0.008412027 0.009416043 0.009198958 0.008981873 0.010610008 0.009470314 0.011912515 0.010148703 0.008059264 0.008710518 0.00881906 0.009117551 0.009904482 0.009497449 0.0097416695 0.009823076 0.008954738 0.009226094 0.008493433 0.008520569 0.00789645 0.00857484 0.011098448 0.009551721 0.009578856 0.010257245 0.0097416695 0.009361772 0.008493433 0.01023011 0.009388907 0.009687399 0.008656247 0.009388907 0.009009009 0.008981873 0.013323564 0.009633127 0.015005969 0.012048192 0.014626072 0.010989905 0.01218387 0.0107999565 0.017312493 0.008249213 0.0093075 0.011532617 0.01218387 0.012129599 0.015168783 0.011695431 0.009605992 0.0161728 0.014354716 0.017014002 0.009958754 0.008846195 0.010555737 0.0086833825 0.010664279 0.009524585 0.00857484 0.008927602 0.009877347 0.009985889 0.008873331 6.5570273 1.0 42.0 0.0 17.0 1250896.0 3719168.0 0.0 0.0 8.0 1.0 1.0 0.0 0.0 0.0 1517849300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 1.0 9.0 0.0 4.0 0.0 4.0 0.0 1196032.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1193472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9997425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6137247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1196032.0 0.0 0.0 0.0 0.0 0.0 2494464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 516.0 3716300.0 21708.0 3694592.0 0.0 0.0 36344.0 1217024.0 24.0 3716816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 3691464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.17891656 0.009263729 0.0058066896 0.0043538343 0.009022375 0.002837091 0.003125769 0.0022833967 0.007836902 0.0017273364 0.0019899863 0.0024797926 0.0059888884 0.0019024363 0.0013534746 0.008518372 0.005773563 0.0017107729 0.0017770269 0.0014836163 0.0034144472 0.0032346149 0.0015546028 0.0010458668 0.0024561305 0.0013534746 0.0016752797 0.0012020369 0.002572075 0.0010529653 0.0010529653 0.0012848544 0.00486257 0.0010293032 0.0017368012 0.0012186003 0.0033884188 0.0011807409 0.001114487 0.003324531 0.0017249702 0.00075008994 0.00075482234 0.0022550023 0.0015049123 0.0025271168 0.001370038 0.0013842353 0.0044366517 0.0024987222 0.0021958468 0.0067650066 0.0023875101 0.0021177616 0.0020420428 0.0022479035 0.0027779355 0.0052506295 0.0040675225 0.004408257 0.0025697087 0.003147065 0.0020018173 0.0045999205 0.0036936605 0.0024845249 0.003005092 0.009594998 0.0059415638 0.008184735 0.0029128098 0.0021035646 0.0017841256 0.0014788839 0.0012327976 0.00092755596 0.0016374203 0.005023473 0.0016113919 0.0017770269 0.0067886687 0.0026123004 0.0013629394 0.003565885 0.00190007 0.0036983928 0.004363299 0.0035919133 0.0017297026 0.004221326 0.003192023 0.0015617014 0.0013298125 0.0039373804 0.0028323585 0.0029648663 0.0014268272 0.003279573 0.0013747704 0.002439567 0.005137051 0.00570021 0.005170178 0.001270657 0.003920817 0.0032275163 0.0057711964 0.0011807409 0.0028205274 0.0020515078 0.0031423324 0.0034617714 0.0033458269 0.0032298823 0.003927916 0.0034972646 0.010136862 0.009436462 0.0016634486 0.0016634486 0.00205624 0.0013747704 0.0009748803 0.00070513185 0.0014291934 0.0021911145 0.0017060405 0.0016965757 0.0033316296 0.0041669034 0.0011334167 0.009983058 0.0026477939 0.008428455 0.00092755596 0.00079504796 0.0015995608 0.0080356635 0.0012611921 0.024760066 0.0011499801 0.008918261 0.0006649062 0.00055842655 0.0013321786 0.0005158347 0.0005252996 0.00085893576 0.0010032748 0.00081871013 0.00055606035 0.00053713063 0.0010245708 0.0014220948 0.00050636986 0.00063651166 0.0009133587 0.0008116115 0.000530032 0.0009654154 0.0014765176 0.001424461 0.0006081171 0.00088496413 0.001159445 0.00088969653 0.0005252996 0.0005016374 0.0017036742 0.0006081171 0.0005229334 0.0015285744 0.0011523464 0.0006980332 0.00057499006 0.0005868211 0.0012682908 0.0005158347 0.00055132795 0.0005276658 0.0010174721 0.00090862624 0.0015096447 0.0014268272 0.0020633389 0.00078794936 0.00086130196 0.0007406251 0.0013534746 0.0015380393 0.000960683 0.0013937001 0.008007269 0.0039799726 0.0024537642 0.004207129 0.002728245 0.0011168531 0.0028441895 0.002948303 0.0026880193 0.0028631191 0.0010979234 0.00096778164 0.0022384387 0.0010624302 0.0015380393 0.0012966854 0.0019095349 0.0014410245 0.0013889677 0.0010032748 0.0014717852 0.0006767373 0.001026937 0.0009867114 0.0023662143 0.0015120109 0.0032346149 0.0017580972 0.0013416435 0.0012209666 0.00086130196 0.0010553316 0.0023543832 0.0009914438 0.00090389384 0.0008636682 0.0017912242 0.0017226039 0.0008258088 0.00088969653 0.012926629 0.0028205274 0.0009157249 0.004308876 0.0044792434 0.00097014784 0.0010293032 0.0011121207 0.0037173226 0.0017391675 0.0015191096 0.0013321786 0.0022005793 0.001126318 0.0029648663 0.0028867815 0.0045573288 0.00198762 0.0017202378 0.0017013081 0.005290855 0.0030074583 0.0056079277 0.16370417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023083466 2.4948677e-05 7.1281934e-06 3.5640967e-06 4.752129e-06 5.9401614e-06 5.9401614e-06 7.1281934e-06 9.504258e-06 5.9401614e-06 3.5640967e-06 7.1281934e-06 1.069229e-05 2.8512773e-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 0.0020529197 8.316226e-06 7.1281934e-06 1.4256387e-05 1.1880322e-06 1.1880322e-06 4.752129e-06 5.9401614e-06 1.7820483e-05 1.1880322e-06 3.5640967e-06 9.504258e-06 1.6632452e-05 2.3760645e-06 2.613671e-05 0.00026017905 0.013049346 0.00014969206 4.3957192e-05 6.652981e-05 3.207687e-05 5.5837514e-05 5.821358e-05 6.771784e-05 0.00011167503 7.3658e-05 3.9205064e-05 6.415374e-05 0.00011167503 0.00012355535 0.0001877091 0.010095898 0.022649834 0.00024829875 0.000184145 0.00030176018 0.00019602531 0.00015206813 0.00011761519 0.00016632452 0.00030413625 9.6230615e-05 0.00033027297 0.0002174099 0.00026493118 0.00031482853 0.00041937537 0.025131634 0.02065988 0.000405119 0.0006676741 0.0007793491 0.00084469095 0.00022097399 0.0016038435 0.0008945883 0.00077578507 0.00028037562 0.0007959816 0.00021859792 0.0003397772 0.0003457174 0.00042531555 0.021837221 0.017159937 0.00046333257 0.0012296133 0.0029071148 0.0013899977 0.0015040488 0.002541201 0.0016002795 0.0028809782 0.0002839397 0.0005856999 0.00021265777 0.00034809345 0.0005678794 0.00078528933 0.028800277 0.01259433 0.0005856999 0.001324656 0.0015420659 0.001290203 0.0018652106 0.0034738062 0.0018580824 0.0014280147 0.00031126445 0.00043719585 0.00023760645 0.00047046077 0.00095517794 0.000773409 0.024380798 0.01672987 0.0015242454 0.0020576718 0.0008660755 0.003496379 0.0017392793 0.0061944 0.003613994 0.0005488709 0.0005108539 0.00039323868 0.00037660621 0.0016382964 0.0011262546 0.0006154007 0.012096544 0.015828153 0.0018759029 0.0030972 0.001511177 0.0037969511 0.0022014237 0.006704066 0.0044373004 0.00051441794 0.00084231485 0.00042293948 0.00041105915 0.0019353045 0.0019590652 0.000993195 0.01429678 0.01028836 0.0015943393 0.001984014 0.015155727 0.0023855688 0.0014030661 0.0041129678 0.0026469359 0.0012747586 0.0010217078 0.0010300239 0.0009991351 0.0013020834 0.0011345708 0.00097181037 0.0013567328 0.009080131 0.0011725879 0.0024200217 0.004467001 0.0022382527 0.0011191263 0.004270976 0.0027336623 0.002616047 0.00074370817 0.00065460574 0.00081499014 0.0012426818 0.0005369906 0.0008922122 0.0039264467 0.039483063 0.007332535 0.004689163 0.0074679707 0.012370979 0.012302074 0.006230041 0.009629001 0.025741095 0.0018699628 0.0019982702 0.0038824894 0.011570246 0.003869421 0.0110843405 0.025394188 0.058318127 0.013510303 0.008431464 0.013275072 0.021448733 0.023501653 0.011750827 0.017263297 0.038444724 0.0034749943 0.004644018 0.0056978026 0.019339977 0.008385131 0.018141253 0.033642698 0.0071388856 0.0036258744 0.0038943696 0.0051655644 0.003870609 0.003611618 0.0042781043 0.0040963353 0.0038504126 0.0033359944 0.0033645073 0.0041402923 0.0034227208 0.0038052672 0.0035652847 0.0045275907 1568.0 15.999362 25087.0 0.035596125 0.0011559773 0.01024435 0.0019133416 0.0062582213 0.001116116 0.0014748675 0.0035875156 0.0037469605 0.0016343126 0.00067764183 0.0021525093 0.0038266832 0.0055805794 0.012715749 0.011240882 0.016941044 0.018097023 0.01303464 0.011759078 0.013233946 0.01275561 0.011081437 0.011400327 0.012636026 0.0137920035 0.01837605 0.009845736 0.011918523 0.011958385 0.008251285 0.008171563 0.005620441 0.0073743374 0.0032686251 0.01120102 0.011081437 0.0061386377 0.0073743374 0.0054211346 0.004504325 0.007294615 0.0009168095 0.0011559773 0.0059791924 0.0068561407 0.0024315382 0.0026308447 0.013353529 0.0039064055 0.0064176666 0.012476581 0.009367402 0.0018734803 0.0060190535 0.01024435 0.0055407183 0.0014350062 0.002830151 0.001993064 0.0035476543 0.0015944513 0.002232232 0.0047434927 0.0045840475 0.031769443 0.009805876 0.022960098 0.026707059 0.059791923 0.011121298 0.007334476 0.011240882 0.029935824 0.0055407183 0.0044246023 0.02208315 0.019452306 0.028460955 0.03731016 0.020289393 0.0021525093 0.03296528 0.024514688 0.04783354 0.012077969 0.005102244 0.006098776 0.014230478 0.007733089 0.0027105673 0.001275561 0.0033483477 0.0010762546 0.0016343126 0.0014350062 6.0018663 0.0 40.0 0.0 9.0 422616.0 442368.0 1.0 0.0 226.0 1.0 1.0 1.0 1.0 0.0 1522757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 193024.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71680.0 0.0 0.0 0.0 0.0 0.0 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 -193536.0 0.0 131584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6440063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4770446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7262518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.536373 0.0 4.5988636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -11432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71546.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193463.0 0.0 131096.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 2.0 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 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 -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 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 -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 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 266796.0 131096.0 294912.0 0.0 0.0 8920.0 413696.0 11432.0 430080.0 84.0 254784.0 0.0 0.0 0.0 0.0 24.0 254964.0 64.0 254872.0 0.0 0.0 940.0 200704.0 0.0 0.0 0.0 0.0


Input: 0.22230448 0.012377219 0.008071644 0.005911195 0.008395832 0.0036491347 0.003171723 0.0026781827 0.010070805 0.0027265688 0.0026854405 0.0020564185 0.013822358 0.0039523556 0.003303979 0.008051483 0.008731311 0.0013620747 0.0011072402 0.0009249851 0.005695069 0.0076055224 0.0012354639 0.0007499879 0.005043467 0.0006911179 0.0006854728 0.0009177271 0.01819406 0.00090401765 0.0005790229 0.00063386076 0.010810309 0.00060886116 0.00070644025 0.00077256816 0.030507572 0.0015144917 0.00048708892 0.0006725698 0.0024975403 0.00060886116 0.00078627764 0.0013007855 0.002351575 0.001327398 0.0009572426 0.0004862825 0.0038184868 0.0015346527 0.0017781971 0.0067603746 0.0027297947 0.0017636812 0.0014612668 0.0013249787 0.0036725213 0.002719311 0.0023160917 0.0031620457 0.0029152755 0.0027475364 0.0016386833 0.0025160885 0.0037870356 0.0042708986 0.001327398 0.0025193142 0.01259899 0.0057781325 0.002903179 0.0021338365 0.0020394833 0.0015951355 0.0005225722 0.00069676293 0.005808777 0.0015894904 0.0014894921 0.0011354656 0.013464299 0.0049692746 0.0028967275 0.0050555635 0.004239448 0.0035346204 0.0064466703 0.0053128176 0.001825777 0.0014282027 0.00038709052 0.0045757326 0.0026830211 0.004232996 0.005666844 0.0052797534 0.001458041 0.0051289494 0.001595942 0.0024975403 0.006428122 0.0075152013 0.00869744 0.0013725585 0.0071837553 0.0046894406 0.0076031033 0.0007540201 0.00509266 0.0016975533 0.0049007274 0.0048579862 0.0024499604 0.00039838068 0.004884599 0.0032346253 0.015009435 0.008462767 0.0012088515 0.0011846583 0.0021378687 0.0012362704 0.00042338026 0.0003427364 0.004897502 0.0013322366 0.0012306253 0.0011241754 0.004764439 0.0036104256 0.0005749907 0.0196142 0.0047870195 0.012757053 0.0029007597 0.0013249787 0.002331414 0.009045822 0.002059644 0.03186723 0.0031781746 0.009993387 0.00137901 0.0006467638 0.0018394864 0.0003782197 0.00047902454 0.00047499232 0.0013120756 0.00034354284 0.00045483137 0.00032257545 0.00082982535 0.00126127 0.00025241528 0.00034838147 0.0009999839 0.0003008016 0.00045402494 0.0007040209 0.0011120788 0.0012854631 0.003183013 0.0010386929 0.003009629 0.000991113 0.0012911082 0.00066127966 0.0010878857 0.0003427364 0.00029515653 0.00038547764 0.000840309 0.0003193497 0.0003911227 0.00037660683 0.00088950177 0.0003467686 0.00037902614 0.00036854245 0.0012653022 0.00029757584 0.0003612845 0.00062257063 0.0023378655 0.0006145062 0.0004556378 0.0006620861 0.0015483621 0.0011354656 0.0015411042 0.0011701424 0.010469186 0.0022289963 0.0016798116 0.0061023207 0.01092805 0.0006378929 0.0018209384 0.0064765085 0.0018007774 0.0016870695 0.00048063742 0.00045886356 0.0045781517 0.00037257464 0.00046934726 0.0004935404 0.0012193351 0.00053144305 0.0008080515 0.00079272914 0.0009314366 0.000972565 0.00071289175 0.0007774068 0.0013983645 0.00080724503 0.00034354284 0.0012846567 0.00071369816 0.00075966516 0.00040241287 0.00043467042 0.001693521 0.00090321124 0.000505637 0.0004032193 0.0009338559 0.00032257545 0.00036692957 0.00037983258 0.009875647 0.0026176998 0.0003741875 0.0035475234 0.0020015805 0.00074434286 0.00038144545 0.00042499314 0.0021056111 0.00066692475 0.00048305673 0.0006249899 0.0009709521 0.00030886597 0.0018217448 0.001399171 0.0031362397 0.0016298124 0.00083063176 0.0011628845 0.0018886792 0.0014144933 0.0019660974 0.02757133 0.008262414 0.0 0.0 0.0 1.615488e-06 0.0 0.0 0.0 0.0 1.615488e-06 0.0 0.0 0.0 0.0 8.07744e-07 4.846464e-06 0.00080451305 2.423232e-06 2.01936e-06 4.03872e-07 6.865824e-06 0.0 5.654208e-06 0.0 4.03872e-07 8.07744e-07 4.03872e-07 4.03872e-07 0.0 1.211616e-06 1.615488e-06 4.03872e-07 0.0015444065 6.461952e-06 9.692928e-06 2.9886529e-05 7.269696e-06 6.461952e-06 6.461952e-06 4.846464e-06 2.827104e-06 6.461952e-06 4.846464e-06 5.250336e-06 5.250336e-06 6.05808e-06 5.250336e-06 2.827104e-06 0.009700602 7.390857e-05 4.7253023e-05 3.594461e-05 7.269696e-05 3.02904e-05 0.0010052375 0.0005104942 2.9078785e-05 1.6962624e-05 4.846464e-06 1.615488e-06 8.07744e-06 1.615488e-06 2.01936e-06 3.9175586e-05 0.017210197 0.0001817424 5.856144e-05 7.713955e-05 0.00012237321 0.00012923904 0.0022184688 0.0011344765 4.5637535e-05 3.5136865e-05 4.1194944e-05 3.7560098e-05 4.3214302e-05 4.03872e-05 4.0791074e-05 8.9255715e-05 0.0031833192 0.00013973971 5.452272e-05 7.673568e-05 0.00010217962 5.6138208e-05 0.00028634525 0.0001643759 8.07744e-06 7.269696e-06 1.2923904e-05 1.0500672e-05 7.269696e-06 7.269696e-06 8.481312e-06 1.0500672e-05 0.007877523 0.00051372516 0.0002625168 0.000105410596 0.00034450283 0.000100968 0.0004939355 0.00022091798 0.00017810756 0.00016195267 5.452272e-05 5.411885e-05 6.3407904e-05 5.815757e-05 5.9773058e-05 0.00020314762 0.03634 0.0006732546 0.0043145646 0.001035124 0.0021744468 0.00097131217 0.015059579 0.0065487847 0.00014175907 8.521699e-05 5.654208e-05 6.7042754e-05 7.108147e-05 4.886851e-05 4.5637535e-05 0.00019143533 0.017488869 0.00027705618 0.0019115262 0.0008259182 0.0018057118 0.0010395666 0.0058957236 0.0027871206 0.00022172573 0.00037438935 3.998333e-05 4.9676255e-05 6.663888e-05 3.1502015e-05 4.442592e-05 0.00022536058 0.007867427 0.0002637284 0.0014353611 0.0010989357 0.0022079682 0.0013339892 0.007551599 0.0036400983 0.00015912557 0.0001643759 0.00011187254 0.000111468675 0.00013448938 9.773702e-05 9.692928e-05 0.00019305082 0.008255144 0.00028674913 0.0019539327 0.0011550739 0.0023424577 0.0013053144 0.004190576 0.002261683 0.00065992685 0.00027382522 0.00015831782 0.0001659914 0.00022455283 0.00012075773 0.00017770368 0.00045475987 0.007591986 0.0012584651 0.0015347135 0.015442854 0.0025520672 0.00162195 0.0027741967 0.0017532083 0.001836406 0.0013065259 0.0009551573 0.0010843963 0.0012415026 0.001006853 0.0011752675 0.002356593 0.025330853 0.0036796778 0.002722905 0.0018856784 0.005584338 0.0054268283 0.0035423613 0.0019543367 0.011766811 0.0012067695 0.0013416628 0.0017960188 0.003940983 0.00097090827 0.0030367137 0.006871882 0.11363787 0.03128958 0.02729569 0.012402909 0.020170983 0.040295523 0.01907124 0.017333379 0.06489375 0.004392108 0.009219994 0.0070314114 0.02971569 0.0059619583 0.012809205 0.02203041 0.046991315 0.016431533 0.014801101 0.008541893 0.012675523 0.019713396 0.009377908 0.011219564 0.030973347 0.0026199177 0.004564965 0.003464818 0.015173875 0.0044684396 0.007936085 0.015198511 0.0001991089 6.1792416e-05 6.3407904e-05 0.0002047631 8.3197636e-05 7.188922e-05 7.7543424e-05 8.965958e-05 9.410218e-05 0.00010904544 6.502339e-05 0.0001312584 6.381178e-05 8.3197636e-05 7.2293085e-05 0.00018416563 8265.0 9.968179 82387.0 0.027176619 0.0016750216 0.002463981 0.0018328134 0.037578743 0.009661718 0.0010559919 0.0014079891 0.0058140242 0.0023304648 0.0043089325 0.0020755702 0.0049886513 0.006554432 0.004381759 0.001492954 0.01503878 0.007683251 0.011288188 0.0105356425 0.01049923 0.0077318023 0.0074404944 0.0066879485 0.010996881 0.009783097 0.010305024 0.008666416 0.009734546 0.007877456 0.0074283564 0.00729484 0.00684574 0.010875503 0.004491 0.014553267 0.02301334 0.009346135 0.006335951 0.0070399456 0.0049400995 0.008278005 0.0015536431 0.0021362593 0.015572845 0.0049643754 0.0060810563 0.0042603808 0.024566982 0.011288188 0.011118259 0.016956558 0.011907218 0.009673856 0.011700875 0.016701665 0.004248243 0.00297377 0.0007161324 0.0024761187 0.0060931942 0.004333208 0.0030465971 0.0050493404 0.0018935027 0.026873171 0.006360227 0.017162902 0.022734169 0.054316822 0.010292886 0.009576754 0.010936191 0.03052666 0.006918567 0.0041390024 0.027419375 0.011263913 0.029106533 0.030004734 0.01178584 0.0010681297 0.0315341 0.021981623 0.04293153 0.013084589 0.0042603808 0.006056781 0.0062024347 0.0072827023 0.0018449513 0.0008375108 0.0068214647 0.00095888914 0.0012987485 0.005595543 6.0661235 3.0 1.0 1.0 11.0 1240020.0 176128.0 0.0 0.0 194.0 0.0 1.0 0.0 0.0 0.0 1210881300.0 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 5.0 10.0 4.0 0.0 4.0 0.0 85504.0 1536.0 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 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -85504.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.357491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1916196 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.949319 0.0 4.2630086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7706.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -85266.0 0.0 26172.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 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 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 93600.0 26172.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 796.0 90112.0 0.0 0.0 0.0 0.0