Input: 0.020010991 0.0037573823 0.0030783003 0.0037573823 0.0032312467 0.0031664995 0.0033199557 0.0041443366 0.0038593465 0.0031318315 0.0028188014 0.003552944 0.003600867 0.0036742813 0.0037354599 0.004935069 0.0033393288 0.0030237495 0.002483849 0.0034020368 0.0027805648 0.0030747317 0.0031629307 0.003966409 0.0032924253 0.0036676538 0.003333211 0.0040530786 0.0037395384 0.0039842525 0.004085707 0.0044609355 0.003891975 0.0032863074 0.0029477861 0.0036747912 0.0029421782 0.0030053959 0.0032944647 0.004131081 0.002933511 0.0029916307 0.002902922 0.0033107789 0.003241953 0.003595769 0.003812443 0.004074491 0.0032959941 0.0035901607 0.0036758108 0.003832326 0.0034851376 0.003526943 0.003623809 0.004621529 0.0035203153 0.0038394635 0.0039128778 0.0049371086 0.0043283817 0.0041550426 0.004170337 0.005041112 0.0037599313 0.0043406175 0.00370691 0.0036533787 0.002988062 0.0044726613 0.0035687485 0.003950095 0.0031139879 0.0028478613 0.0030869674 0.0032470513 0.003418351 0.0043156366 0.0039322507 0.0044150515 0.0034504698 0.0035187858 0.002976336 0.0036110636 0.0031384593 0.0038756607 0.003310269 0.0038843276 0.0031471262 0.003509609 0.0032077949 0.0036589867 0.0039021715 0.004035745 0.004045431 0.0042819884 0.0029233147 0.0035391788 0.0029151577 0.0040444117 0.0036890663 0.0041937893 0.0037002822 0.0033694082 0.0034754511 0.004131591 0.0034581171 0.003797658 0.0036487903 0.00396284 0.004174416 0.0052475897 0.0038853474 0.0038343652 0.004097433 0.004213162 0.0047744755 0.004480309 0.0041535133 0.0048086336 0.0038792295 0.004440543 0.0037706376 0.0040953937 0.005948084 0.0042264177 0.004573606 0.0043895603 0.0035254136 0.0032144226 0.0027749569 0.0044186204 0.003484118 0.00362075 0.0032399136 0.0037227143 0.0030961442 0.0036686733 0.0028789602 0.0062886444 0.003595769 0.004529761 0.0037940894 0.004355912 0.003857817 0.0034912555 0.0030604566 0.004068883 0.0034474109 0.003529492 0.003330662 0.0040153516 0.0032995627 0.0033745065 0.003171088 0.004130571 0.0035136878 0.004352853 0.003863935 0.004319715 0.0030084548 0.0032929352 0.0031206156 0.0035942395 0.0033847028 0.0032343057 0.0034224298 0.0038782097 0.003236345 0.0032506199 0.0031817942 0.0035320413 0.0032123832 0.00350706 0.0037996974 0.0039307214 0.0031027717 0.0034448619 0.0035687485 0.0033265832 0.003638594 0.0035198056 0.003584043 0.0043283817 0.003946526 0.0038822885 0.0038797392 0.0041484153 0.0041137473 0.0037410678 0.006069931 0.004319715 0.003794599 0.0032898763 0.003490236 0.0041484153 0.0034005074 0.00319301 0.0042034755 0.0046409024 0.004486936 0.004486936 0.0038231493 0.004179514 0.0048687924 0.0038817786 0.004031666 0.003923074 0.0034249788 0.003498393 0.0039730365 0.004025548 0.0035605913 0.0035116484 0.0035401983 0.003889426 0.00362126 0.00359271 0.0038731117 0.0040872367 0.004041862 0.0042274375 0.003897583 0.005993968 0.0035865922 0.003883308 0.003527453 0.0046368237 0.005386261 0.0044063847 0.003912368 0.004453288 0.0044588964 0.0041958285 0.0037823634 0.004265674 0.004271792 0.0041361796 0.0041188453 0.0049605602 0.00427689 0.0044242283 0.0060918536 0.0046832175 0.0040270775 0.0038537383 0.004256497 0.004410973 0.0046577263 0.0060265963 0.004043902 0.004279949 0.004833105 0.0044527785 0.0043385783 0.007088044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000686502 7.398201e-06 5.6889614e-05 7.653311e-07 2.9082583e-05 1.9898609e-05 0.00014082092 7.347178e-05 3.0613244e-06 1.0204415e-06 5.1022075e-06 1.7857726e-06 6.3777593e-06 2.806214e-06 2.040883e-06 7.908421e-06 0.0020100146 3.6991005e-05 0.00012015698 2.6786589e-05 0.000226538 7.398201e-05 0.00023521176 0.00015867865 1.5306623e-05 2.066394e-05 9.439083e-06 1.1479967e-05 6.88798e-06 1.6071954e-05 1.6327063e-05 0.00015026 0.00032322484 4.847097e-06 1.4286181e-05 2.7807031e-05 4.6174977e-05 1.6327063e-05 2.1939491e-05 1.9133278e-05 5.1022075e-06 3.0613244e-06 5.8675387e-06 3.316435e-06 2.5511038e-06 2.5511038e-06 3.5715452e-06 2.2704822e-05 0.0039116074 0.00014439247 0.00035460343 0.00015893376 0.0007342076 0.00018265903 0.001091107 0.0006740016 9.388062e-05 6.071627e-05 0.00029312182 0.00011377923 0.00022781357 5.7910052e-05 4.745053e-05 0.00021327227 0.0021911429 9.668683e-05 0.00020179231 0.0001426067 0.00054261973 0.00014719869 0.00093370397 0.00056736544 8.291087e-05 4.3878983e-05 0.00017041372 8.59722e-05 0.00033011282 4.3113654e-05 5.9695827e-05 0.000107911685 0.0010831986 0.00019286344 0.00013240229 0.0017551593 0.0002385282 0.00015561732 0.0002655699 0.00018725102 0.00015867865 0.00013622893 0.0001670973 0.00014439247 0.00015332134 0.0001229632 0.00014821913 0.00018316925 0.0024852853 0.00033062304 0.00020153719 0.00037577757 0.0009768176 0.00061787735 0.00040052328 0.00033878657 0.0014061683 0.00011199345 0.00011735077 0.00023036466 0.0007870155 0.00016199509 0.0005461913 0.00083854777 0.0057800356 0.0008780899 0.00057450857 0.0008094652 0.0019702173 0.0016077056 0.00075385114 0.0011324349 0.003227146 0.0002188847 0.0003176124 0.00043343252 0.0021722647 0.0005655797 0.0014459656 0.0026687095 0.004091205 0.0008987538 0.00073982007 0.0010092166 0.0013880555 0.0014719869 0.0008403336 0.0012291218 0.0023393622 0.00027373343 0.00032781682 0.0005561406 0.0014579558 0.0007405854 0.0013002976 0.0022342566 0.050828956 0.053288728 0.05166189 0.059153464 0.05269713 0.053296126 0.055614825 0.06522917 0.05291295 0.05799016 0.053202502 0.061072912 0.058739416 0.061082862 0.06445644 0.06935762 8337.0 6.6030946 55050.0 0.01613079 0.0065395096 0.00626703 0.008138056 0.009209809 0.0064850138 0.008283379 0.010499546 0.006630336 0.0075567667 0.00839237 0.006939146 0.008737511 0.008374205 0.010263397 0.009700272 0.010681199 0.010481381 0.011444142 0.0097910995 0.011117166 0.0097910995 0.010245232 0.010245232 0.010027248 0.010081744 0.011080836 0.011298819 0.010990009 0.010281562 0.012297911 0.012661217 0.01582198 0.00897366 0.007920072 0.010644868 0.0066485014 0.007338783 0.008592189 0.009064487 0.008174387 0.006339691 0.0072479565 0.007702089 0.007847412 0.008192552 0.009118983 0.010463215 0.008882834 0.007502271 0.008628519 0.008465032 0.009100817 0.008174387 0.0085195275 0.010590373 0.008773842 0.007974569 0.008828338 0.009082652 0.009718438 0.0095912805 0.009809264 0.010517711 0.0080835605 0.016530426 0.010190736 0.015149863 0.015603997 0.020399638 0.010227066 0.010317893 0.012043597 0.018237965 0.008628519 0.009227974 0.014586739 0.011734786 0.01678474 0.01938238 0.013060854 0.007974569 0.01763851 0.01647593 0.021453224 0.012933697 0.010245232 0.009209809 0.010299727 0.011226158 0.009373297 0.009427793 0.013333334 0.007956403 0.009445958 0.007901907 6.524468 0.0 0.0 0.0 41.0 1961472.0 1982464.0 1.0 0.0 69.0 1.0 1.0 0.0 1.0 0.0 1538126100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 91648.0 1024.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 -512.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92160.0 0.0 1801728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.554671 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.677762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3502975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.818673 0.0 7.9809446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -7224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91854.0 0.0 1801496.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 149576.0 1801496.0 172032.0 0.0 0.0 0.0 0.0 7224.0 1974272.0 28.0 143104.0 0.0 0.0 0.0 0.0 24.0 143228.0 64.0 143136.0 0.0 0.0 284.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.056626946 0.008291312 0.006168305 0.0056489343 0.0057523944 0.004960923 0.004196351 0.0054161483 0.005041622 0.0056168614 0.0037473333 0.0044529326 0.004950577 0.0031938206 0.0043277456 0.0046319193 0.005046795 0.0037566447 0.004938162 0.004157036 0.004351542 0.0031855437 0.004105306 0.0038487245 0.0050716256 0.0033428033 0.0031741632 0.002923789 0.0041404827 0.0034472984 0.003792856 0.0037856137 0.006163132 0.0038197555 0.0034907516 0.0030137994 0.0048926394 0.0041715205 0.0038487245 0.0037225028 0.0047291717 0.0038932124 0.0033407342 0.0030965677 0.0043670605 0.0037152607 0.0037307797 0.003580762 0.005511332 0.003949081 0.0031048446 0.0028999932 0.0036790494 0.003077945 0.0026930724 0.002858609 0.004165313 0.0033221114 0.0035217898 0.0033376303 0.0040132264 0.0032207202 0.0035010977 0.003458679 0.0065935273 0.003945977 0.003618008 0.0032227894 0.004156002 0.0032258932 0.003534205 0.003077945 0.0050064456 0.0037814751 0.0037183645 0.003583866 0.004129102 0.003127606 0.003547655 0.003458679 0.005161636 0.0036221463 0.003640769 0.0033345267 0.003928389 0.0033924642 0.0033665993 0.003547655 0.0046443343 0.003649046 0.0038176863 0.0035124784 0.0041063405 0.0033862568 0.0036862916 0.0037918212 0.005905516 0.0036283538 0.0033417689 0.0029496541 0.0040132264 0.003054149 0.0032724503 0.0030344916 0.0049640266 0.0031617477 0.0031958898 0.0030572528 0.0035776584 0.0028348132 0.0030810488 0.0032052011 0.0045005246 0.0032962463 0.0032207202 0.0031441594 0.0038942469 0.0033272842 0.0032900386 0.0036283538 0.004617435 0.0032972808 0.0034783364 0.003156575 0.004038057 0.0031907167 0.0034679903 0.0033459072 0.008649284 0.0045874314 0.0040225377 0.0035300667 0.0043763723 0.0034245371 0.0030251802 0.0034028103 0.004542943 0.0038311363 0.0029610347 0.003192786 0.0037287103 0.002803775 0.0028503323 0.0029827615 0.0052278508 0.0032114089 0.0034835094 0.0030272494 0.0036666342 0.0031783015 0.0033086615 0.003278658 0.004546047 0.0028441246 0.0030458723 0.0027065224 0.0035176515 0.0032196855 0.0029879345 0.0031462288 0.005004376 0.003409018 0.0032724503 0.0027965328 0.00376906 0.003009661 0.0030510454 0.003189682 0.0041425517 0.003004488 0.0031203637 0.0030241455 0.0036449076 0.002832744 0.0029248237 0.0030417338 0.004676407 0.0031151907 0.003841482 0.0028513668 0.0035642085 0.0031472633 0.002988969 0.0031286406 0.0042553237 0.0031472633 0.0033376303 0.0031772668 0.003659392 0.0031834745 0.0033262498 0.0033614263 0.006705264 0.004053576 0.003724572 0.003343838 0.004118756 0.0032465854 0.0033086615 0.0032279624 0.004329815 0.0033345267 0.0031110523 0.003088291 0.0036500806 0.0029848306 0.0030758758 0.0028017059 0.0042553237 0.0032755542 0.0030758758 0.0030086266 0.003709053 0.0030106958 0.0029351697 0.002937239 0.0039759804 0.0031069138 0.0027323875 0.0026537576 0.003542482 0.0029568963 0.0035900737 0.002882405 0.004966096 0.003244516 0.0033914298 0.0029765537 0.003813548 0.003072772 0.0031958898 0.0028999932 0.0044436213 0.0054368405 0.0034597137 0.003134848 0.0037938904 0.0030738066 0.003254862 0.0032052011 0.004613296 0.0033210767 0.0034235024 0.0030562184 0.0037462986 0.0030810488 0.0033179729 0.0032372738 0.004350507 0.0030344916 0.0031834745 0.0028730936 0.0040121917 0.0030996716 0.004243943 0.0045108707 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099148564 0.062029343 0.06246164 0.055312105 0.060622036 0.059573423 0.054951858 0.05446513 0.060494523 0.05316149 0.052123763 0.052950524 0.056431733 0.05054644 0.05665514 0.05387059 4029.0 5.7021594 22974.0 0.017106295 0.010403064 0.009358405 0.008661966 0.013493515 0.012492383 0.011882998 0.011534778 0.0126229655 0.009663098 0.00857491 0.008618439 0.013841734 0.010577174 0.011795944 0.00996779 0.016758075 0.011926525 0.00874902 0.0074867243 0.00979368 0.008444329 0.0077914163 0.008313746 0.0102724815 0.008444329 0.00961957 0.008879603 0.011491251 0.00892313 0.00961957 0.009227823 0.018020371 0.010881866 0.010403064 0.009140768 0.010838339 0.008879603 0.010664229 0.008400801 0.014233481 0.011578306 0.00979368 0.008966658 0.011447724 0.009358405 0.011621834 0.00961957 0.014755811 0.00961957 0.00996779 0.008966658 0.012057108 0.009314878 0.009576042 0.009880735 0.013711152 0.00927135 0.010533647 0.009532515 0.011186559 0.00979368 0.010403064 0.010664229 0.018020371 0.010968922 0.009750152 0.008139636 0.013101767 0.008226691 0.009358405 0.008313746 0.015408723 0.009314878 0.008879603 0.008661966 0.011317141 0.008009054 0.009880735 0.008009054 0.013145295 0.008009054 0.008705493 0.008792548 0.011447724 0.0094454605 0.008096108 0.007965527 0.010881866 0.00892313 0.012013581 0.008487856 0.011404196 0.0090101855 0.010098372 0.008792548 6.554608 0.0 0.0 0.0 14.0 966554.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.121105514 0.0073418673 0.0052122553 0.005682888 0.005094597 0.00477692 0.0037885918 0.004471009 0.0041886293 0.0042709904 0.00404744 0.0036826995 0.0042592245 0.003965079 0.003141472 0.0042827562 0.0042945216 0.0030708772 0.0031650038 0.003023814 0.0029649849 0.0029414534 0.0029061558 0.0028708584 0.0036826995 0.0029885166 0.0037179969 0.0026826055 0.0029649849 0.002635542 0.0030591115 0.0035532757 0.0038944841 0.002717903 0.0026120106 0.0035650413 0.0037179969 0.0039768447 0.00340032 0.003835655 0.0036826995 0.0055769957 0.0033179594 0.0027532002 0.002459055 0.0029061558 0.0029296875 0.0029296875 0.0032003012 0.0028002635 0.003212067 0.0026943712 0.002717903 0.002706137 0.0029414534 0.0028943901 0.0027884978 0.0029414534 0.0026826055 0.0032591303 0.003141472 0.0028237952 0.0033650226 0.004070971 0.004341585 0.0038121236 0.0033767885 0.0024237575 0.0028826243 0.002647308 0.0034473832 0.0028708584 0.003141472 0.003588573 0.004082737 0.0034356175 0.003094409 0.0033179594 0.002847327 0.003153238 0.003965079 0.002776732 0.0035532757 0.0033414909 0.0029767507 0.0026826055 0.0029885166 0.0028590926 0.0028237952 0.0029414534 0.0028002635 0.002847327 0.0029414534 0.0031297063 0.0030708772 0.0032591303 0.004082737 0.0032591303 0.0028708584 0.0032003012 0.002717903 0.0027532002 0.0028826243 0.0033532567 0.0029296875 0.0030355798 0.0025531815 0.0029296875 0.0048239836 0.0027414344 0.0031061748 0.003212067 0.004023908 0.003012048 0.002835561 0.0032708962 0.0033767885 0.0026826055 0.003141472 0.003918016 0.0038003577 0.0033767885 0.0027414344 0.0032355986 0.0036944654 0.0028826243 0.003659168 0.0041180346 0.0062005837 0.003529744 0.0033297252 0.003212067 0.0031767695 0.002635542 0.0029179216 0.0029532192 0.0032708962 0.0026826055 0.0026002447 0.0032944276 0.0042709904 0.002847327 0.0038121236 0.0033179594 0.0033297252 0.0029649849 0.0025061183 0.002835561 0.0028826243 0.0026708397 0.0024355233 0.0027884978 0.0032473644 0.0025296498 0.0024119918 0.0029061558 0.0026826055 0.0030002824 0.0023649284 0.0029649849 0.0037885918 0.002717903 0.0028826243 0.0029885166 0.0023649284 0.002847327 0.0024825865 0.0026943712 0.0027414344 0.0025767132 0.0026943712 0.0026120106 0.0027884978 0.0021531438 0.002635542 0.0033179594 0.0029532192 0.0026590738 0.0019178275 0.0024119918 0.002706137 0.0024237575 0.0030355798 0.0026943712 0.0024943524 0.002459055 0.002635542 0.003141472 0.0024355233 0.0029885166 0.003012048 0.004400414 0.0051416606 0.003588573 0.0031767695 0.0033532567 0.0034826808 0.0043768827 0.006000565 0.004035674 0.003835655 0.0031179406 0.003223833 0.0028943901 0.0023413969 0.0026708397 0.0038827183 0.0033414909 0.0033650226 0.002764966 0.0032826618 0.002647308 0.0023766942 0.002776732 0.0026590738 0.0030355798 0.0028120293 0.0028120293 0.0034238517 0.0027884978 0.002835561 0.0025414156 0.0027532002 0.0032944276 0.0045651356 0.0023060993 0.002647308 0.003094409 0.0028002635 0.0027884978 0.0033650226 0.0033297252 0.0039768447 0.003223833 0.003588573 0.0033767885 0.003965079 0.0036474022 0.0026826055 0.003918016 0.0040003764 0.0037650603 0.0028590926 0.0035062123 0.0035415099 0.003459149 0.0038944841 0.0036826995 0.004659262 0.0031179406 0.0034826808 0.004329819 0.0044474774 0.00390625 0.0183782 0.035838667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010599276 0.00014291158 0.00016077554 2.3818597e-05 0.00011909299 0.00012504763 0.0004346894 0.00025009527 9.527439e-05 1.1909298e-05 2.9773248e-05 2.9773248e-05 2.3818597e-05 4.7637193e-05 3.5727895e-05 6.5501146e-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 0.009914491 5.3591844e-05 6.5501146e-05 4.7637193e-05 5.3591844e-05 0.00010718369 0.00063714746 0.00016673018 0.00026200459 1.7863948e-05 5.9546495e-05 1.7863948e-05 0.0004704173 5.954649e-06 0.00014291158 0.00017268483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007776772 0.00027986852 0.00089319743 0.00022032202 0.00010122904 0.00016077554 0.00018459413 0.00022032202 0.00013695694 5.9546495e-05 5.3591844e-05 0.00013100229 0.00023223132 7.145579e-05 0.00020841273 0.0014648438 0.01170684 0.00010718369 6.5501146e-05 8.336509e-05 2.9773248e-05 2.3818597e-05 0.001494617 0.0013814786 0.002090082 1.1909298e-05 3.5727895e-05 1.7863948e-05 0.003513243 4.1682546e-05 0.0012742949 0.002512862 0.022949219 0.0014231612 0.0029832793 0.0011135194 0.0013100229 0.0012623856 0.0014052973 0.001494617 0.00059546495 0.00032155108 0.0002560499 0.0007681498 0.0025069073 0.0005120998 0.0009467893 0.008931974 0.03818121 0.0026915015 0.0035489711 0.0026021819 0.003822885 0.0045374427 0.0036144722 0.0045731706 0.004299257 0.002107946 0.0010122904 0.001732803 0.006389339 0.0018935786 0.0042873477 0.0244617 0.008413919 0.0014707984 0.0022389481 0.0012802496 0.0028165493 0.0011016101 0.0010837462 0.0025188166 0.0012266578 0.0019888529 0.00080387766 0.0010777916 0.0029415968 0.0019293064 0.002870141 0.015017626 0.018125953 0.0025902726 0.0044421684 0.0026260004 0.0035072884 0.002018626 0.0020126714 0.0020722179 0.0018995332 0.001476753 0.0014588891 0.002191311 0.0032810117 0.0019173971 0.0026438644 0.008711652 0.003429878 0.0004823266 0.00058355567 0.0005061452 0.00058355567 0.00052400917 0.0005061452 0.0005299638 0.00054782775 0.0005418731 0.0004704173 0.00036323362 0.00052400917 0.00044064404 0.0007086033 0.0014529345 0.055020962 0.04137886 0.039455507 0.039914016 0.040295113 0.039276868 0.03909823 0.040723845 0.043099754 0.038157392 0.04024152 0.03818121 0.038889814 0.039437644 0.040414207 0.044951648 291.0 7.6391754 2223.0 0.009896536 0.004048583 0.0044984254 0.010346379 0.008097166 0.032838505 0.015744489 0.035537563 0.017993702 0.013045434 0.018893387 0.007197481 0.0067476383 0.027440395 0.0116959065 0.0062977956 0.0062977956 0.009446694 0.035987403 0.0058479533 0.007197481 0.0067476383 0.0044984254 0.012595591 0.0067476383 0.021592442 0.004948268 0.008547009 0.020242915 0.011246064 0.015744489 0.020242915 0.02474134 0.019343229 0.0067476383 0.0044984254 0.019343229 0.007197481 0.0067476383 0.015744489 0.0067476383 0.0062977956 0.007197481 0.0044984254 0.0062977956 0.0058479533 0.0053981105 0.004948268 0.008547009 0.0053981105 0.004948268 0.008996851 0.0062977956 0.004048583 0.004048583 0.0067476383 0.008547009 0.0062977956 0.0044984254 0.0076473234 0.007197481 0.004948268 0.009896536 0.0076473234 0.008097166 0.010796221 0.010346379 0.008547009 0.0116959065 0.015294647 0.0116959065 0.009896536 0.004948268 0.0076473234 0.0031488978 0.0053981105 0.030139452 0.0062977956 0.0067476383 0.007197481 0.010346379 0.004948268 0.009896536 0.019343229 0.010796221 0.016644174 0.008097166 0.012145749 0.009896536 0.009446694 0.0067476383 0.004948268 0.0062977956 0.008547009 0.0076473234 0.010796221 6.3294563 1.0 0.0 0.0 1.0 84992.0 98304.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1183057300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 8.0 0.0 4.0 0.0 4.0 0.0 512.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 0.0 512.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.000467 0.0 0.0 7.992674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3709506 0.0 7.2943377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0 0.0 62218.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62218.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 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


Input: 0.50614697 0.0041193822 0.0024721434 0.0015804244 0.0026880063 0.00092769624 0.0012180831 0.0007221126 0.00326878 0.00075038034 0.0043789316 0.00071440317 0.002664878 0.0044174786 0.00050367997 0.0064938734 0.0023667817 0.0014981909 0.0021432096 0.00039060894 0.0011050121 0.0030400683 0.00022871181 0.00026982854 0.0008711607 0.00032122445 0.0004214465 0.00037262036 0.00073496153 0.0006604375 0.0006450187 0.00055764563 0.032631267 0.00045228403 0.0005293779 0.0012797583 0.00090199825 0.0017012047 0.00052423833 0.0005216685 0.0007478105 0.00081462524 0.0006501583 0.0005447967 0.0012257926 0.0008197648 0.0019813124 0.00092769624 0.0008968587 0.0019736032 0.0012257926 0.0027111345 0.00044457466 0.0008840097 0.0003983183 0.00022357222 0.0008326138 0.0014827721 0.0010124994 0.0033176062 0.0009379754 0.001408248 0.0004291559 0.00046513302 0.0015829941 0.001295177 0.0005447967 0.0016112619 0.0016420995 0.0050367997 0.002161198 0.0008094856 0.001395399 0.0011898153 0.009739526 0.00063987914 0.0012283623 0.0018348341 0.0011718269 0.0011230008 0.0056792484 0.0008480326 0.0010381974 0.0031736977 0.0014570742 0.0013517125 0.002790798 0.0025595166 0.0006707167 0.0041527897 0.00026982854 0.0011461289 0.0006527281 0.0016164015 0.0011178611 0.0010870235 0.00042658608 0.007783911 0.0015495868 0.003990893 0.00452798 0.013971979 0.0069461577 0.00163439 0.006182928 0.007848156 0.0025800748 0.0005679248 0.004563957 0.0035308993 0.0075654783 0.0075911763 0.0032610707 0.0003546318 0.0067354343 0.0068433657 0.012923502 0.0062780106 0.0018605321 0.0018759508 0.0015984129 0.0016061222 0.00025697958 0.00031865467 0.00091998687 0.0014288063 0.0005396571 0.0003083755 0.0015418774 0.0007118334 0.00032636404 0.0055533284 0.003420398 0.008336417 0.00026725876 0.0004034579 0.00061161135 0.004453456 0.00026211917 0.009739526 0.00051395915 0.004322396 0.00024413058 0.00020301386 0.0073007895 0.00013105958 0.00022100242 0.0002467004 0.00046513302 0.0002467004 0.00015932733 0.00021329304 0.0005216685 0.00027496813 0.00019273467 0.00021072324 0.00038546935 0.00075038034 0.00019787427 0.00026468895 0.0005062497 0.0011589779 0.0002364212 0.0006552979 0.0004111673 0.00060133217 0.00024927018 0.00015675754 0.00043172567 0.00011307101 0.00013362938 0.00027496813 0.00026725876 0.00013105958 0.0002852473 0.00010793142 0.0004728424 0.00011307101 0.00014390856 0.0001773159 0.00044200485 0.0013568521 0.00018502529 0.00041373709 0.00084032316 0.00055250607 0.0004728424 0.0003083755 0.0004728424 0.00062959996 0.00022614202 0.00063730933 0.0045716665 0.00057306443 0.001156408 0.0008711607 0.001182106 0.00026468895 0.00062189053 0.00125663 0.0008942889 0.0010279183 0.00018502529 0.00024156079 0.00073496153 0.000238991 0.00022100242 0.0002312816 0.004602504 0.00087887014 0.0024078984 0.0032559312 0.0004856914 0.00013876897 0.00066557707 0.00073496153 0.0014493647 0.00028781712 0.00026725876 0.0006450187 0.0010613257 0.00024413058 0.00018502529 0.00019273467 0.0009097077 0.00025440977 0.00019530447 0.00019273467 0.00081462524 0.00021843263 0.00025697958 0.00045228403 0.006226615 0.0035000616 0.00024156079 0.0016138316 0.002186896 0.00022614202 0.00031608486 0.000477982 0.0014056782 0.00028010772 0.00031094527 0.00043172567 0.0032559312 0.0017140537 0.0009970807 0.0008249044 0.0021714773 0.0016806463 0.0015187493 0.0013619917 0.0020224291 0.0032225237 0.0029861026 0.04551622 0.27689928 0.0 2.4478479e-05 6.441705e-06 4.2515254e-05 1.1595069e-05 1.8036775e-05 1.288341e-05 1.2883411e-06 0.0 1.2883411e-06 2.5766822e-06 0.0 6.441705e-06 0.0 1.8036775e-05 0.0126978895 1.288341e-05 9.276055e-05 1.8036775e-05 0.00012496908 5.9263686e-05 2.9631843e-05 4.2515254e-05 2.5766822e-06 1.2883411e-06 1.2883411e-06 2.5766822e-06 1.2883411e-06 3.8650232e-05 1.2883411e-06 6.570539e-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 0.002289382 1.0306729e-05 0.00010177894 4.766862e-05 3.3496868e-05 2.4478479e-05 3.2208525e-05 4.3803597e-05 2.705516e-05 1.2883411e-06 3.8650232e-06 3.8650232e-06 2.5766822e-06 6.441705e-06 7.7300465e-06 2.5766822e-06 0.0021888914 2.5766822e-06 1.288341e-05 1.0306729e-05 0.00023705474 0.00012496908 1.2883411e-06 1.2883411e-06 7.7300465e-06 1.1595069e-05 2.5766822e-06 2.5766822e-06 5.1533643e-06 2.576682e-05 3.8650232e-06 0.0 0.004038949 8.116548e-05 0.00034398705 7.8588804e-05 9.147221e-05 6.312871e-05 0.00025380318 0.00016748434 1.4171751e-05 5.1533643e-06 1.0306729e-05 1.6748434e-05 5.1533643e-06 4.6380275e-05 9.018388e-06 5.153364e-05 0.0047063096 1.8036775e-05 0.00093791226 1.4171751e-05 0.00019582783 1.9325116e-05 0.0011942921 0.00054239156 3.607355e-05 3.2208525e-05 2.1901798e-05 3.4785207e-05 2.1901798e-05 0.00012368074 6.441705e-06 1.0306729e-05 0.16144717 0.00063772884 0.035283796 0.0034269872 0.0062239757 0.0044666785 0.061011966 0.028459454 0.00029889512 8.760719e-05 6.9570415e-05 5.6687004e-05 0.00014558254 4.5091936e-05 4.766862e-05 0.0017212236 0.012084639 0.0001855211 0.0012406724 0.00034141037 0.0011131266 0.00044705434 0.0016452115 0.0009198755 0.00022030632 0.00010822064 0.00019325115 8.631885e-05 0.00018423276 0.00017521439 0.00017521439 0.0019879101 0.006509987 0.00028987674 0.00043288257 0.00036331217 0.0009907342 0.0005926369 0.0028923256 0.0016207331 0.00013398747 0.00022803636 0.00013914083 0.00015588927 0.00029245342 0.00018680946 0.0003169319 0.0033239198 0.0067689437 0.00068153243 0.00085159345 0.00047797454 0.00093920063 0.00040067406 0.0010396912 0.00075883284 0.0003233736 0.0003104902 0.00018165608 0.0001442942 0.0001004906 0.00018423276 0.0002860117 0.0023821425 0.0019234931 0.00034012203 0.00030920186 0.00021257627 0.00036846552 5.6687004e-05 0.00014687088 0.00019711618 0.0001004906 0.00015460093 3.3496868e-05 2.0613457e-05 4.5091936e-05 9.276055e-05 0.00011208567 0.001163372 0.0017740456 0.00015331258 0.00014815922 0.0002473615 0.0002860117 0.00013656415 0.00015717761 0.0003452754 0.00029889512 0.00015717761 9.920226e-05 0.00011079733 0.00028987674 9.6625576e-05 0.000166196 0.00081036653 0.005536001 0.0013746598 0.0006879741 0.0012471142 0.0018784013 0.0021618363 0.001518954 0.001507359 0.004377783 0.00083097996 0.0004934346 0.00097269745 0.0013463164 0.0016967452 0.0021566828 0.009152374 0.04306795 0.011528076 0.00557594 0.011962246 0.020007936 0.020628916 0.011079733 0.012191571 0.034485023 0.009666422 0.0043764943 0.005715081 0.011637584 0.014569849 0.014547947 0.048642606 0.0006969925 0.00033496867 0.00015460093 0.0001855211 0.00047668617 0.00043674762 0.00028343502 0.00034656373 0.0006634956 0.00020871125 9.7913915e-05 9.40489e-05 0.00022417134 0.00024864983 0.00028214668 0.00054239156 453.0 12.101545 5482.0 0.0040131337 0.0014593215 0.003101058 0.003101058 0.0049252096 0.0014593215 0.009668005 0.0045603793 0.0036483034 0.016234951 0.015322875 0.00054724555 0.0010944911 0.0049252096 0.009485589 0.002918643 0.006019701 0.07734404 0.051988326 0.010762495 0.0012769062 0.0010944911 0.00091207586 0.0018241517 0.00072966074 0.0047427947 0.007843853 0.0023713973 0.0016417366 0.00036483037 0.0020065669 0.00054724555 0.0032834732 0.0052900403 0.0021889822 0.013681138 0.0052900403 0.007114192 0.014228384 0.009485589 0.0067493618 0.008938343 0.007843853 0.0023713973 0.007114192 0.002918643 0.0032834732 0.0025538125 0.009850419 0.0036483034 0.005107625 0.020612914 0.007296607 0.0021889822 0.014410799 0.020612914 0.00091207586 0.013681138 0.00036483037 0.0021889822 0.00091207586 0.0021889822 0.0032834732 0.012404232 0.00036483037 0.023713972 0.002918643 0.02152499 0.014045969 0.07770886 0.012586648 0.010762495 0.014228384 0.030828165 0.009668005 0.005472455 0.030828165 0.0134987235 0.028091937 0.034294054 0.013681138 0.00054724555 0.03703028 0.024626048 0.057643197 0.019518424 0.0049252096 0.011127326 0.0052900403 0.0076614376 0.0012769062 0.00054724555 0.00072966074 0.004195549 0.00018241518 0.00054724555 5.656665 0.0 0.0 0.0 2.0 389136.0 397312.0 1.0 0.0 189.0 0.0 1.0 0.0 0.0 0.0 1208114000.0 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 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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 129024.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129024.0 0.0 141824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.1724627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5902042 0.0 3.8347735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128544.0 0.0 141472.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 2.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 -2.0 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 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 128576.0 141472.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 132548.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 103232.0 88.0 584.0 768.0 4096.0 128.0 127752.0 0.0 0.0


Input: 0.42116827 0.0044147233 0.0027332737 0.003230733 0.0028470836 0.002024715 0.0023459527 0.0025900933 0.0022082794 0.0018778637 0.0021054833 0.0021917587 0.0022560062 0.0021293468 0.001927426 0.006375191 0.0027222598 0.0019990162 0.0020779488 0.00196781 0.0024267212 0.0016998062 0.0031150875 0.0015272556 0.001659422 0.0018374794 0.0016722715 0.0018943844 0.0020981408 0.0017915884 0.0017989309 0.0017089844 0.0021146617 0.0015970101 0.0020338933 0.0018723566 0.0018723566 0.0018576715 0.0015309269 0.0015731468 0.0017126556 0.001633723 0.0017879171 0.0019384399 0.0018007666 0.0015658041 0.0015584616 0.0015621328 0.0019292616 0.0020706062 0.0018044378 0.0021311825 0.0018081091 0.0016869566 0.0016961349 0.0019641388 0.0018815349 0.0015180774 0.0017218338 0.001653915 0.0017199982 0.0017769032 0.0016006813 0.0017970953 0.007278328 0.0031059093 0.0017401903 0.0019751526 0.001973317 0.0032050342 0.002210115 0.003087553 0.00219543 0.0020173725 0.0016722715 0.0018154517 0.0020338933 0.0016741072 0.0017787388 0.0019953449 0.0034803806 0.0016484081 0.0020283863 0.0021421963 0.0020008518 0.0019384399 0.0023000618 0.0017879171 0.0020540855 0.0015345982 0.0016520794 0.0014740219 0.001813616 0.0015144062 0.0016318873 0.0021513745 0.0018631784 0.0026782043 0.0021164974 0.0022431568 0.002349624 0.0035574776 0.004422066 0.0020687706 0.0031958558 0.0027075745 0.0022431568 0.002030222 0.0022927192 0.0018723566 0.0024928043 0.0024102002 0.002360638 0.001844822 0.0031628143 0.0026910538 0.0030728676 0.0022431568 0.00215321 0.0015859962 0.00212384 0.0018540003 0.0017603824 0.0016722715 0.0017310121 0.0017236695 0.0016098596 0.0016722715 0.00212384 0.0016245447 0.0019512894 0.0020889626 0.0017126556 0.0025956004 0.0015988457 0.0015841606 0.0019255903 0.028481849 0.0015290913 0.002030222 0.0017970953 0.0032270618 0.0016557507 0.0019255903 0.00219543 0.0015970101 0.0015658041 0.0015584616 0.001742026 0.0016190378 0.0017438616 0.0015970101 0.0017053131 0.0015878319 0.0015731468 0.0016741072 0.0015529547 0.0017493685 0.0019109052 0.0017787388 0.0017567112 0.0018925488 0.0016025171 0.0017567112 0.0017016418 0.0024212142 0.0015676398 0.0015933388 0.0017603824 0.0015199131 0.0016906279 0.001571311 0.0017089844 0.0017475329 0.0015896675 0.0018081091 0.0016979706 0.0015804893 0.0014776932 0.0015033922 0.0016722715 0.0021220043 0.0017603824 0.0016814497 0.0023569667 0.0016814497 0.0016318873 0.0017199982 0.0019567963 0.0017897527 0.0024817905 0.0019072338 0.028285434 0.0017053131 0.0017860815 0.001850329 0.0020706062 0.0014850359 0.0016208735 0.0021348537 0.002628642 0.0018099447 0.0016942993 0.0017089844 0.0018099447 0.0018062735 0.0016704359 0.0019402755 0.0023716518 0.0016741072 0.0015419408 0.0019017269 0.0017842457 0.0015731468 0.0016722715 0.0018264656 0.0022688557 0.001767725 0.0018668497 0.0029150024 0.0020063587 0.0019310972 0.0017897527 0.0020173725 0.0026928894 0.0019053982 0.00201003 0.0017034775 0.0019164121 0.0018631784 0.0019751526 0.0018723566 0.0034289826 0.001850329 0.0018595072 0.00196781 0.0020852913 0.0017824101 0.0016484081 0.0019127409 0.0020779488 0.0017713963 0.0016502438 0.0018521646 0.0018907131 0.0019641388 0.0016759428 0.0021091548 0.0032747886 0.0021477032 0.0019476181 0.0020063587 0.0025827507 0.0019659745 0.0022743626 0.0117921755 0.17324513 1.8391007e-06 1.8391007e-06 9.1955036e-07 9.1955036e-07 9.1955036e-07 9.1955036e-07 0.0 0.0 9.1955036e-07 9.1955036e-07 2.7586511e-06 9.1955036e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017112832 0.0 0.0 2.7586511e-06 2.390831e-05 3.8621114e-05 6.528808e-05 4.1379768e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033637153 5.9770773e-05 3.2184264e-05 1.5632357e-05 4.3218868e-05 1.8391007e-05 0.000109426495 5.0575272e-05 1.8391007e-06 1.01150545e-05 1.1954155e-05 7.356403e-06 6.436853e-06 7.356403e-06 8.275953e-06 2.0230109e-05 0.0015761093 1.2873706e-05 1.7471457e-05 2.7586511e-05 2.8506061e-05 2.7586511e-05 8.6437736e-05 5.4253473e-05 1.2873706e-05 9.1955036e-07 4.5977517e-06 1.10346045e-05 9.1955036e-07 9.1955036e-07 1.10346045e-05 1.01150545e-05 0.008781706 0.0004947181 0.000107587395 0.0001462085 0.00073288166 6.436853e-05 0.000121380646 6.0690323e-05 3.7701564e-05 2.0230109e-05 7.724223e-05 0.000120461096 0.00015080626 7.448358e-05 0.00013425435 0.00017471457 0.031296898 0.0020358844 0.00041195858 0.00054253475 0.003131069 0.00020689884 0.0003089689 0.00033563588 0.0004055217 0.0002960952 0.00028965838 0.00030804938 0.00021425524 0.00037333745 0.0006372484 0.0006372484 0.0052671847 0.00023172669 0.000119541546 8.0920436e-05 0.0006252943 0.000107587395 0.00018574917 0.0001406912 8.2759536e-05 7.540313e-05 0.000102989645 7.356403e-05 5.0575272e-05 5.4253473e-05 0.000113104696 0.00022161164 0.0062363907 0.000116782896 6.712718e-05 0.00012505885 0.00018115142 0.0003052907 0.0034363598 0.001257945 0.02308991 5.3333923e-05 5.6092573e-05 4.2299318e-05 0.023969 0.001497028 0.0016128913 0.00198347 0.0040230327 0.0001425303 0.00012505885 0.000120461096 0.00030988848 0.00015080626 0.00043678642 0.0002942561 0.0020423215 0.000121380646 0.00017839277 0.000102070095 0.002135196 0.00033839454 0.0003034516 0.00047540755 0.005021665 0.00034942914 0.00027494557 0.00020873794 0.0003687397 0.0002611523 0.0005443738 0.00038069385 0.00019954242 0.00021057704 0.00018391007 0.00019034692 0.00023908309 0.00020781839 0.00021793344 0.00055724755 0.028303761 0.0023770377 0.0014059925 0.0012974855 0.004501199 0.0019200211 0.0061628264 0.0035807292 0.0010639197 0.0012459907 0.0013241526 0.0013305894 0.0012882901 0.0011853004 0.0017296743 0.003429923 0.0631492 0.0052773 0.0051283324 0.0053140814 0.006260299 0.0056230505 0.007810661 0.006148114 0.0052469545 0.0050648833 0.0049931584 0.005094309 0.005403278 0.0051035048 0.0052552302 0.0060202964 0.07231988 0.008457105 0.008344 0.008247447 0.010220802 0.00987965 0.009432748 0.00836331 0.011199204 0.0079789385 0.008553658 0.008108595 0.008981248 0.0081380205 0.009649762 0.014931659 0.04951411 0.008305379 0.007926525 0.008161929 0.008962858 0.008562854 0.008121469 0.008130664 0.009544933 0.008069054 0.008059859 0.00865113 0.008605152 0.009156883 0.008358713 0.008892972 0.008063537 0.004143494 0.004058895 0.0044984403 0.004405566 0.0040110787 0.0037471678 0.0044570607 0.0050023543 0.004041424 0.0038823418 0.00501063 0.0050345385 0.0048175245 0.004477291 0.0056782234 1779.0 8.881956 15801.0 0.005126258 0.003923802 0.010442377 0.003354218 0.0054426934 0.003227644 0.003354218 0.0035440794 0.0034175052 0.0034175052 0.0031010695 0.006518575 0.0027213467 0.0031010695 0.004113664 0.003797228 0.003797228 0.012404278 0.0058857035 0.0057591293 0.0058857035 0.004113664 0.005252832 0.005316119 0.009429783 0.004176951 0.0031643566 0.0036706538 0.003227644 0.0029744953 0.0031010695 0.003923802 0.003733941 0.019745586 0.008100753 0.0114549715 0.011897981 0.01702424 0.00816404 0.011834694 0.0060122777 0.011961268 0.004113664 0.005252832 0.010758813 0.0072780205 0.011897981 0.011328397 0.008100753 0.0036706538 0.012277704 0.018796278 0.015188912 0.007910891 0.007847604 0.005632555 0.0043668123 0.0040503764 0.003923802 0.0029112082 0.003227644 0.008480476 0.0029744953 0.016960952 0.003923802 0.038795013 0.012910576 0.019049427 0.022150496 0.0654389 0.008227328 0.015315486 0.011201823 0.034364913 0.010189229 0.010252516 0.026454022 0.014429467 0.03550408 0.02892222 0.016011644 0.0040503764 0.041832797 0.032592874 0.035440795 0.014745902 0.015821783 0.006075565 0.006265426 0.011011961 0.003733941 0.003354218 0.0031643566 0.003733941 0.003860515 0.0036073667 6.0618296 1.0 0.0 0.0 2.0 544768.0 573440.0 0.0 0.0 67.0 0.0 1.0 0.0 0.0 0.0 1541565000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 516096.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -516096.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.417338 0.0 7.228538 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -515320.0 0.0 19938.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 517908.0 19938.0 552960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 372.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.29882616 0.026857069 0.031115167 0.0054991613 0.02834664 0.009880283 0.030574353 0.0070576263 0.0070231794 0.005837231 0.03979818 0.0053244676 0.0028807241 0.0034062816 0.0027650818 0.0021160084 0.0035622756 0.004793005 0.0023586112 0.0039697303 0.0021273266 0.0021356922 0.005512448 0.0043604537 0.0026651865 0.0048299124 0.0013325933 0.0010653856 0.0011943146 0.00074404763 0.0016381842 0.0041267085 0.009681969 0.002233619 0.0045410525 0.0023143226 0.00055508316 0.002704062 0.0033511668 0.0048525487 0.01166708 0.00079030456 0.0042512086 0.002320228 0.0030273683 0.00077947846 0.0013660557 0.00043501196 0.0021155165 0.0028890898 0.0013586743 0.0014703798 0.0011195161 0.0013493245 0.0010097789 0.0012189193 0.0012573027 0.0016647574 0.0005206365 0.00064415234 0.0010358599 0.0010348757 0.000813433 0.0011411683 0.0012518896 0.0033964396 0.0017617 0.0024270124 0.0011529785 0.0024314413 0.0018310854 0.002352214 0.0026878228 0.00075044483 0.00072190334 0.0011962829 0.0024540776 0.0024944295 0.0012440161 0.0015884826 0.0019117891 0.00073223736 0.0012494292 0.0026745363 0.0032616055 0.0029545382 0.0021780124 0.0010540675 0.0013931209 0.0010629252 0.0023123543 0.00073322153 0.0006879488 0.0006953302 0.0008045753 0.0034584436 0.00096844294 0.0059184264 0.0050552916 0.0022547792 0.002377803 0.012295977 0.0014944925 0.0022469058 0.0038014338 0.0047270646 0.0015456703 0.0012390952 0.0049987007 0.0016145636 0.0066959364 0.046610747 0.0053121652 0.0005152234 0.009471352 0.008656443 0.00834101 0.004822531 0.0011367394 0.0010875299 0.0013714688 0.00079916226 0.001860119 0.0051497743 0.0011539627 0.002315799 0.008748464 0.0032493032 0.0063819797 0.002086975 0.0006790911 0.0009108678 0.0020195579 0.00050587364 0.00097582437 0.00048717402 0.0012710814 0.0005767353 0.00072239543 0.00079325715 0.00055557524 0.0012090774 0.0009900951 0.0004955396 0.00055557524 0.0006480891 0.00046601394 0.00041483607 0.00059346657 0.00064366026 0.0003710396 0.00044731435 0.00045420366 0.00070517213 0.0004335357 0.00059395866 0.00034741906 0.00048520564 0.000419757 0.00096302986 0.0006982828 0.0011593758 0.0016189925 0.0007942413 0.0015840537 0.0005098104 0.00071255356 0.00045814042 0.0005383519 0.000512763 0.0034377757 0.0036100089 0.0006072452 0.00096745876 0.00082032237 0.000564925 0.0019546014 0.00042664635 0.000419757 0.00052260485 0.0016618047 0.0007268243 0.0005565594 0.0008616583 0.0017056012 0.00080801995 0.0007228875 0.0007071405 0.0005344151 0.0006180713 0.0005604962 0.002751795 0.0037802737 0.0031671233 0.0023379433 0.0006284053 0.00056148035 0.00074060296 0.0006569468 0.00036907123 0.00072387175 0.00043451987 0.0014438067 0.0017174114 0.000715014 0.00037940525 0.00037694475 0.0036149297 0.00057181437 0.0008587057 0.0011111505 0.001699204 0.0014009944 0.0004315673 0.0012627158 0.0002770495 0.000637263 0.00056640134 0.0008232749 0.00067367806 0.00090496265 0.0012400794 0.0015815933 0.0011564232 0.00084886386 0.0008719923 0.00038137363 0.0005900219 0.0006594073 0.002564799 0.001668202 0.00064316817 0.00062446855 0.00096745876 0.001523034 0.0007455239 0.00042566218 0.00051620766 0.00045814042 0.0018842317 0.0006874567 0.0005344151 0.00044386968 0.00061905547 0.00054622546 0.00058510096 0.0007529053 0.00043599616 0.0010609567 0.00036759494 0.00042861473 0.00055508316 0.00080949627 0.0048968373 0.004728541 0.013013944 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004402657 0.0 0.0 0.0 2.462336e-07 0.0 0.0 0.0 4.924672e-07 0.0 2.462336e-07 6.2297106e-05 0.0 0.0 7.387008e-07 0.0 0.0016736499 0.0 0.0 0.0 4.5306984e-05 0.0 0.0 0.0 4.5553217e-05 0.0 4.924672e-07 0.00018516768 2.0929858e-05 0.0 4.6045687e-05 0.0 0.010075879 0.0 0.0 0.0 0.00047227606 0.0 0.0 0.0 0.0004717836 0.0 1.1326746e-05 0.00078474655 0.00030803826 0.0 0.00048311034 0.0 0.007316832 5.663373e-06 1.502025e-05 2.7085698e-06 0.0005188142 1.969869e-06 4.924672e-07 9.849344e-07 0.0005195529 0.0 1.969869e-06 0.00023687673 0.00043804958 4.924672e-07 0.00052201527 0.0 0.0013350786 0.00020535883 2.2161024e-05 1.1326746e-05 6.6483076e-06 4.9246723e-06 9.15989e-05 8.125709e-06 0.00014774017 7.879476e-06 1.502025e-05 7.3870083e-06 1.2311681e-06 6.968411e-05 5.4171396e-06 7.7563585e-05 0.032698594 0.0014215066 0.0025113367 0.00089949137 0.001667494 0.0013392646 0.010163538 0.0039956328 0.0007290977 0.00021249961 0.0003282294 0.00018516768 0.00018959989 0.0013444355 0.00026642476 0.000544915 0.16387191 0.01138338 0.014619135 0.0058650384 0.010150734 0.009177127 0.047976404 0.02472087 0.0037567862 0.0014047627 0.0018686668 0.0017837163 0.0013404958 0.0033010077 0.0017664799 0.0031153476 0.16349764 0.019413797 0.016173854 0.006989587 0.008434486 0.008606111 0.033095274 0.022847524 0.006735228 0.001694826 0.0042258613 0.0052295094 0.0042155194 0.0036841473 0.004562709 0.0047643743 0.07659072 0.009374606 0.012062739 0.0032552083 0.0047643743 0.0031549912 0.007431823 0.007182881 0.0033027313 0.0018809786 0.004839229 0.003143172 0.0056609106 0.0030042962 0.0038427217 0.005828842 0.030676521 0.0028540937 0.0056902124 0.0012383088 0.0027620024 0.0017979979 0.0024047175 0.0022215196 0.0019314565 0.0013862952 0.0033374503 0.0016623231 0.0052716155 0.0018176965 0.002408411 0.0046523376 0.010441783 0.00093519525 0.0013729986 0.0012085146 0.0005458999 0.0019006772 0.00084704364 0.001571463 0.00097410014 0.0010952471 0.0029188532 0.0008197117 0.0022495904 0.0011912782 0.0006054884 0.0071264934 0.008625563 0.00084285764 0.0023635963 0.0011627151 0.000386833 0.0011962029 0.0018043999 0.001439728 0.0020599903 0.0008660036 0.0010600357 0.0014485923 0.0019651905 0.00079361093 0.0008738831 0.0043765563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8035.0 18.340012 147362.0 0.004587343 5.428808e-05 0.015709613 0.0012961279 0.00012893419 0.0001357202 1.357202e-05 2.035803e-05 0.0030944205 0.0001357202 1.357202e-05 1.357202e-05 0.0019136549 0.00038680257 0.004648417 0.00015607823 0.008319648 0.02540682 0.008794669 0.01054546 0.006256701 0.004716277 0.0029722725 0.0043226886 0.0012146957 0.0011332637 0.00038680257 0.0021986673 0.00024429636 0.0016286424 0.00023751035 0.00065824296 0.0005021647 0.023038505 0.013198789 0.0058359685 0.0064059934 0.021274142 0.0034540792 0.0029044123 0.016917523 0.0032437127 0.0017168606 0.0056391745 0.020385174 0.016998954 0.0067860098 0.010436883 0.008577516 0.0003528725 0.00409875 0.016272852 0.026716521 0.0029926305 0.0072067427 0.0018932967 8.143212e-05 6.107409e-05 0.009873644 0.00031215645 6.107409e-05 6.78601e-06 0.00012893419 0.031351365 1.357202e-05 0.043138664 0.045473054 0.014270979 0.009941504 0.083929375 0.007464611 0.014406699 0.024097122 0.02872518 0.0092154015 0.0073560346 0.033855405 0.0077360515 0.038890623 0.030957777 0.006100623 0.00011536217 0.03781843 0.03447293 0.074822545 0.031622805 0.0045466265 0.0060056187 0.009520772 0.00396303 0.009059323 6.78601e-06 0.0021986673 6.78601e-06 2.714404e-05 0.00016965024 5.447995 1.0 1.0 0.0 1.0 2032128.0 2048000.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542108200.0 0.0 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 80.0 0.0 4.0 0.0 4.0 0.0 2022912.0 512.0 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 -2022912.0 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 -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 -5.658393 0.0 6.1713552 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 -2022852.0 0.0 8180.0 0.0 0.0 0.0 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 2030956.0 8180.0 2031616.0 0.0 0.0 0.0 0.0 12.0 2039808.0 28.0 2030644.0 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