Input: 0.37475914 0.0024434105 0.0021744869 0.00234607 0.0022173827 0.0022371807 0.0019435096 0.002172837 0.0023477199 0.0020424998 0.0021546888 0.0019666073 0.0022206823 0.0021167425 0.0019435096 0.0025770476 0.0022916254 0.0021480895 0.0020359005 0.0021051937 0.0019567083 0.0018709167 0.001785125 0.0020227018 0.0022998746 0.0020490992 0.0023345212 0.0019418597 0.001989705 0.0018989639 0.0019666073 0.002111793 0.041290503 0.0019138125 0.0018742164 0.0021546888 0.0018428694 0.0023114234 0.002091995 0.0021051937 0.015950637 0.001908863 0.002011153 0.0022223322 0.002131591 0.0018890649 0.0019517587 0.0020029037 0.0023114234 0.0020870455 0.002072197 0.002162938 0.0020260015 0.002285026 0.0020128028 0.0021134429 0.0024401108 0.002560549 0.0020177523 0.0019814558 0.002194285 0.002080446 0.0021596383 0.0020227018 0.002816274 0.002316373 0.0021035438 0.0021480895 0.0021777865 0.0022833762 0.002316373 0.0021365406 0.0023856661 0.0021365406 0.0019220617 0.0020837458 0.002223982 0.0021068435 0.0022833762 0.00204085 0.00234607 0.0020870455 0.0020029037 0.002499505 0.0024665082 0.0021068435 0.002062298 0.0021002442 0.0021876856 0.0019715568 0.0021860357 0.002050749 0.002111793 0.002021052 0.002019402 0.0023114234 0.0021579885 0.00224378 0.0021744869 0.0019319607 0.002082096 0.00224378 0.0030274533 0.0020128028 0.0023328713 0.0022371807 0.0022520293 0.0020936448 0.0020903451 0.0021893354 0.0021513891 0.0020672474 0.0022833762 0.0020738468 0.0022883257 0.0024236124 0.0022107833 0.0023345212 0.002101894 0.0025374512 0.0023741173 0.0018412196 0.0018923646 0.0020293011 0.0020062034 0.0019913549 0.002062298 0.001918762 0.002375767 0.0021497393 0.0019913549 0.0021959348 0.0023609186 0.0028129744 0.002184386 0.0024137134 0.0031693394 0.002082096 0.0020771464 0.0021596383 0.0021447898 0.0025522998 0.0021480895 0.002418663 0.002204184 0.0020375503 0.0020392002 0.0021398403 0.002080446 0.0063122814 0.0018940144 0.0020144526 0.0019171122 0.002123342 0.0068303305 0.006683495 0.002001254 0.0022058338 0.0021909853 0.0019633076 0.002131591 0.0022833762 0.002153039 0.002121692 0.0019253613 0.002428562 0.002275127 0.0021381904 0.002184386 0.0020490992 0.0022025341 0.0022124331 0.0023196726 0.0020326008 0.0021084934 0.0019963044 0.0023229723 0.002233881 0.0021695374 0.002194285 0.002182736 0.0021761367 0.0022833762 0.0022866759 0.0021183924 0.0022157328 0.0020062034 0.0022718273 0.0022404804 0.002072197 0.0021777865 0.0022008843 0.0022256318 0.002091995 0.0022701775 0.0024648583 0.0020870455 0.0021860357 0.0020952947 0.002573748 0.0021959348 0.002428562 0.002766779 0.0022817263 0.0022322312 0.0020639477 0.0023444202 0.002275127 0.002336171 0.0024566092 0.0023625684 0.0025902463 0.0021167425 0.0019402099 0.0020144526 0.0021513891 0.002182736 0.0023708176 0.0022157328 0.00204085 0.00224378 0.0021678875 0.0021662377 0.0020457995 0.0022520293 0.0020573484 0.0019154623 0.0019979542 0.002285026 0.0024830066 0.002050749 0.0021513891 0.0026380916 0.002072197 0.0020672474 0.0019484591 0.0018742164 0.0018626675 0.0020243516 0.0020556985 0.0021893354 0.0020655976 0.002062298 0.0026298424 0.0018362701 0.0018973141 0.002131591 0.0026793375 0.002184386 0.0018709167 0.002111793 0.002060648 0.002233881 0.0018098727 0.0026314922 0.0079703685 0.010169491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014557402 9.103549e-06 0.0 7.4483582e-06 0.0 0.0 8.2759533e-07 8.275953e-06 4.965572e-06 0.0 0.0 0.0 4.1379767e-06 0.0 4.965572e-06 0.00019945047 0.077528305 1.48967165e-05 0.037586898 4.965572e-06 1.9862287e-05 7.4483582e-06 2.482786e-05 1.1586335e-05 9.931144e-06 2.482786e-06 3.3103813e-06 5.7931675e-06 2.1517479e-05 4.965572e-06 5.7931675e-06 1.6551907e-06 0.003951768 2.8138242e-05 0.013246491 3.724179e-05 7.7793964e-05 3.724179e-05 9.517346e-05 4.634534e-05 3.55866e-05 0.012692003 1.241393e-05 2.9793433e-05 1.241393e-05 2.2345073e-05 3.0621028e-05 0.00015310514 0.0054902676 6.7035224e-05 7.944915e-05 7.7793964e-05 0.00012993246 9.848385e-05 0.0001067598 7.5311174e-05 0.000121656514 9.931144e-05 4.3862554e-05 4.8828126e-05 4.055217e-05 4.3862554e-05 1.6551907e-05 0.00024000264 0.0055680615 6.7035224e-05 0.0007870432 9.765625e-05 0.00015641552 0.00022179555 0.0002813824 0.00019945047 5.9586866e-05 0.00047007416 3.724179e-05 4.8828126e-05 5.4621294e-05 7.365599e-05 5.4621294e-05 0.00029710672 0.01023901 0.00018951933 0.0005048332 0.00034262447 0.00032855535 0.00022262314 0.00029545152 0.00077214645 0.0009219412 0.00018869173 0.00014979475 0.00013903601 0.00011669094 0.00011669094 5.7931673e-05 0.00066869706 0.008316506 0.00029545152 0.0002681409 0.00030869307 0.00054207497 0.00023669227 0.00061821373 0.00071255956 0.0006960077 0.00013076006 0.00014400159 0.00015144995 0.00015144995 0.00014979475 9.186308e-05 0.0007456634 0.010191009 0.00026152012 0.0009732521 0.00046924656 0.00058014435 0.0005958686 0.00090042374 0.0008524232 0.00070428365 0.0009707693 0.0003732455 0.00045683264 0.0004080045 0.00036745233 0.00024414062 0.00029545152 0.0045691538 0.0001944849 0.00020276086 0.00024579582 0.000355866 0.00024414062 0.00037655586 0.00036579714 0.00030538268 0.00018951933 0.00018124338 0.00022179555 0.00020027807 0.00018455376 0.00011255297 0.00052469544 0.15839182 0.0090481 0.009755694 0.00926493 0.009421346 0.00930631 0.009465208 0.009358448 0.009686176 0.009579416 0.009646451 0.010036249 0.009902178 0.009535554 0.009214447 0.010082594 0.04140542 0.0028171346 0.0028494108 0.0030952066 0.003268174 0.003384865 0.0035743844 0.003198656 0.0034494174 0.003204449 0.003360037 0.0036844544 0.003846663 0.003494935 0.0032243114 0.0036679024 0.0029718948 0.0006024894 0.00031531384 0.00024165784 0.0006562831 0.0008698027 0.00059090304 0.000251589 0.0011470472 0.00028800318 0.000599179 0.00034593485 0.0005884203 0.0005966962 0.0007837328 0.0027103748 0.0010684256 0.00031200345 0.00051724707 0.0008218022 0.00035917637 0.0002987619 0.0009567002 0.00036993512 0.0010568392 0.00071669754 0.00049241923 0.0004609706 0.0012049788 0.0011859441 0.00083256094 0.0012099444 0.066618115 0.018855933 0.018668069 0.019419525 0.019525457 0.018920485 0.017924888 0.018101992 0.019020624 0.018129304 0.019544492 0.01950394 0.020039393 0.019642975 0.01905621 0.019570975 2498.0 7.1104884 17762.0 0.009402094 0.006530796 0.0054610968 0.0061366963 0.0057425965 0.007881995 0.0064744963 0.0075441953 0.0063055963 0.0057425965 0.006530796 0.0072626956 0.0061366963 0.0070937956 0.008388695 0.008613895 0.008501295 0.0104154935 0.008951695 0.008050895 0.008444995 0.008951695 0.007769395 0.010471794 0.008557595 0.0110910935 0.008388695 0.009402094 0.008670195 0.008839095 0.008163495 0.007938296 0.008670195 0.010133994 0.011597793 0.010865893 0.010133994 0.014863191 0.014806891 0.013568291 0.011654093 0.010302894 0.011710393 0.011372593 0.011991893 0.013793492 0.012498593 0.009627294 0.011822993 0.012442293 0.011147393 0.019986488 0.015200991 0.009176894 0.012948993 0.010359194 0.008951695 0.010696993 0.009908794 0.011485193 0.009458395 0.008501295 0.008219795 0.01795969 0.008670195 0.019479789 0.013343092 0.011316293 0.012160793 0.01632699 0.009739894 0.011654093 0.009514694 0.015257291 0.01627069 0.009683594 0.011485193 0.012498593 0.011597793 0.011259994 0.013005292 0.008388695 0.0147505915 0.013906091 0.013680892 0.010809594 0.013061592 0.013906091 0.010302894 0.0075441953 0.0072063957 0.010696993 0.010471794 0.006812296 0.010133994 0.0053484966 6.5268674 1.0 4.0 0.0 86.0 606120.0 602112.0 0.0 0.0 58.0 0.0 1.0 1.0 0.0 0.0 1154974200.0 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 6.0 6.0 0.0 4.0 0.0 4.0 0.0 573440.0 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 -573440.0 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 -5.890378 0.0 4.333062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -572192.0 0.0 18894.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 575028.0 18894.0 581632.0 0.0 0.0 4008.0 602112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 284.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19958988 0.012429557 0.0061084623 0.0057955417 0.010425707 0.004032771 0.0038529264 0.0032791581 0.012243926 0.0021991236 0.0021943022 0.0018524518 0.008429572 0.0017651812 0.0013153276 0.009076629 0.0075713303 0.0014749219 0.0012377001 0.001072802 0.0043654605 0.00266971 0.0010549622 0.0009069396 0.0034218768 0.001039051 0.0013640256 0.0011783947 0.0027757848 0.0009532268 0.0009286367 0.0011692337 0.007347127 0.00076614943 0.0010549622 0.0008423304 0.010308061 0.0016031761 0.0006268057 0.0006658605 0.0021923734 0.0007593992 0.000816776 0.0021504257 0.0017743423 0.000914172 0.0010882311 0.0008032756 0.0041788653 0.002356307 0.0023601644 0.006500457 0.0026648885 0.0019758844 0.001990349 0.0019368295 0.0033350885 0.0037984424 0.0021509079 0.0049175317 0.0027695168 0.0022724117 0.0017405911 0.0022868763 0.0045915926 0.002106067 0.001496137 0.0022941087 0.0050048023 0.013428588 0.0035539882 0.0024098267 0.0028842704 0.0025949755 0.0040882197 0.0015134946 0.0032801223 0.008804691 0.0020564047 0.0014035626 0.009942102 0.0042593856 0.002858716 0.004391497 0.0029975777 0.0064252405 0.0075862776 0.0058524366 0.0030573653 0.007088208 0.0017603596 0.0020891915 0.0017203406 0.005259864 0.0032449248 0.0030130066 0.001419956 0.0031089562 0.0011755017 0.0021595866 0.003319177 0.005615697 0.0033027837 0.0011374112 0.005835561 0.003050615 0.0056060534 0.0011706802 0.0031427073 0.0015535138 0.0030824374 0.0032237098 0.0027998928 0.0006668248 0.0034088586 0.003705868 0.012341321 0.012062634 0.0017131082 0.0016031761 0.0018375049 0.001045319 0.0005954654 0.0006393418 0.0026509059 0.003038079 0.0017121439 0.0013447392 0.003712136 0.0019059714 0.00060993014 0.015015371 0.003882338 0.008991769 0.0022497503 0.0010221754 0.0024305596 0.012310945 0.0019797417 0.03793235 0.0012994164 0.012074688 0.0014112771 0.001557371 0.0034209127 0.0005747326 0.00050337316 0.0007622921 0.0012434861 0.00084184826 0.0006981651 0.00043587104 0.0011239108 0.0008972965 0.0004546752 0.00040067348 0.0010732842 0.0005511068 0.00069286133 0.00052651676 0.001130661 0.0010559266 0.00046962211 0.00069093273 0.0009638343 0.0010838917 0.00044262124 0.00041803118 0.0017381804 0.00047010425 0.00043587104 0.0006012513 0.0011137854 0.0005366421 0.00042429924 0.0004778188 0.001395848 0.00046576484 0.00035872572 0.00059305463 0.0011938238 0.0006783966 0.0022565005 0.0011976811 0.003035668 0.0008968143 0.00049758726 0.000609448 0.0013037558 0.00089392136 0.0011301788 0.0009151363 0.008510092 0.002910307 0.0025462776 0.005226113 0.0064160796 0.0008052042 0.0038013353 0.003799889 0.003142225 0.0024416493 0.0008775279 0.0012184138 0.01016486 0.00062728784 0.0019189897 0.0010916062 0.0022555362 0.0010110858 0.0013587219 0.00070346886 0.0015699072 0.0004339424 0.0006755037 0.00059016165 0.0024059694 0.0010212112 0.00057858985 0.001435385 0.001419956 0.00084184826 0.0006036621 0.0007627743 0.0024580427 0.0017622883 0.0021904449 0.000588233 0.0019030785 0.0011393399 0.0005940189 0.0005019267 0.020717375 0.0040400038 0.0012651832 0.005022642 0.0049329605 0.0007704888 0.0005940189 0.0006383775 0.0041002734 0.00118852 0.0008307586 0.0011600726 0.002630173 0.0006374132 0.0025033655 0.0025207233 0.005252632 0.0016055868 0.0012020204 0.001859202 0.0079184845 0.002834608 0.006744429 0.051815134 0.02794976 3.0638203e-05 2.4365814e-05 7.2373705e-06 2.0264637e-05 3.859931e-06 5.7898964e-05 6.1758896e-05 1.447474e-06 0.0 0.0 4.824914e-07 2.894948e-06 0.0 2.412457e-07 1.2062284e-06 0.015509443 3.9323044e-05 5.2591557e-05 3.353315e-05 3.90818e-05 0.0002393157 0.00013919876 0.00012448277 2.6537025e-06 4.824914e-07 0.00011917536 9.649827e-07 7.23737e-07 9.649827e-07 9.649827e-07 1.447474e-06 0.013939416 6.947875e-05 0.00016139336 9.1914604e-05 0.00012158782 1.8334671e-05 0.0005138533 0.00029383722 6.537758e-05 1.2062284e-06 1.1579792e-05 2.894948e-06 7.23737e-07 1.30272665e-05 1.447474e-06 1.01323185e-05 0.014632033 9.987571e-05 0.00030710574 0.00018262297 0.00019396152 3.8599308e-05 0.0007406242 0.0004441333 8.901965e-05 1.6887197e-06 1.3751003e-05 2.171211e-06 3.6186852e-06 2.2194603e-05 1.9299655e-06 2.508955e-05 0.0049161045 0.00010204692 0.00011579793 9.046713e-05 8.515972e-05 3.8116817e-05 0.0003273704 0.0001753856 3.7634327e-05 4.342422e-06 4.5836678e-06 5.789896e-06 5.307405e-06 9.649827e-06 4.342422e-06 6.754879e-06 0.0011900649 2.460706e-05 2.5330795e-05 7.2373705e-06 1.7369688e-05 5.9828926e-05 4.294173e-05 2.9190727e-05 7.4786158e-06 4.8249135e-06 1.2544775e-05 3.6186852e-06 2.4848305e-05 7.4786158e-06 6.0311418e-06 1.8817163e-05 0.002152394 6.151765e-05 5.693398e-05 3.8840553e-05 5.645149e-05 0.00013775128 0.00011772789 6.513633e-05 1.30272665e-05 3.2568165e-05 1.6404707e-05 1.568097e-05 1.10973015e-05 2.677827e-05 3.305066e-05 0.00012906644 0.012958753 0.00036355722 0.0005222969 0.00014933107 0.0005085459 0.001606455 0.0009143211 0.00041180637 0.0001901016 0.000514577 0.00017779807 0.00019420277 0.0002007164 0.00019782146 0.00024631183 0.0020884639 0.0096158115 0.00024269315 0.00089646893 0.00025596167 0.0015350463 0.0020653042 0.0033168867 0.0017560272 0.00033726144 0.0005391841 0.00021036623 0.00012713647 0.00016887198 0.00020530006 0.00055944873 0.0028717886 0.0062103877 0.00016235834 0.0024746982 0.00091721606 0.0023632427 0.0015092329 0.008490159 0.004358103 0.00020312886 0.00028491113 8.298851e-05 5.814021e-05 6.513633e-05 8.733093e-05 0.00041928497 0.0009698076 0.011027822 0.0004921412 0.0020112651 0.0011823451 0.0036978137 0.0020891875 0.006446808 0.0034553618 0.0005748884 0.00067066296 0.00022894215 0.00022363474 0.0002846699 0.0002176036 0.0011196212 0.0018503544 0.011970852 0.0023087212 0.0020998025 0.018243723 0.0034157976 0.0023265732 0.0034809338 0.002565889 0.0025685427 0.0017118793 0.0014064623 0.0014747349 0.0016674901 0.0014124934 0.002197748 0.0029072517 0.01915756 0.0027036404 0.0023058262 0.0018281598 0.0046519404 0.0035103657 0.0028206445 0.0023849548 0.007123985 0.0011090063 0.00077246863 0.0013982599 0.00349372 0.001085123 0.0027345198 0.005666861 0.07797085 0.012490013 0.010904305 0.010510592 0.022787102 0.030651951 0.009762489 0.015536704 0.054606926 0.004915622 0.004558578 0.0071881562 0.029548494 0.0064304033 0.022816533 0.04196951 0.05388174 0.013020512 0.010850748 0.012631865 0.021220693 0.02633462 0.009743913 0.01855493 0.04162284 0.0034068713 0.003556685 0.0057952036 0.018972043 0.007027728 0.018042523 0.035238273 0.001452299 0.0009565391 0.0008858541 0.0010496599 0.0008139629 0.0009427881 0.0009681189 0.00093941065 0.0009876598 0.0009977921 0.0008626945 0.00092397095 0.0010670297 0.00091094367 0.0009543679 0.0010971853 10191.0 13.9022665 141678.0 0.053699233 0.001171671 0.0021668854 0.0012069623 0.010368582 0.010813253 0.0013763604 0.0022515845 0.0050537135 0.0023221672 0.0011857875 0.0015245839 0.004651393 0.004721975 0.0071429578 0.0034444304 0.01544347 0.009380426 0.01053798 0.008921639 0.0117167095 0.00851226 0.009013397 0.007601745 0.011300272 0.011032059 0.012415477 0.009909796 0.010312116 0.00976863 0.006705346 0.008731066 0.009563941 0.008843998 0.0021880602 0.008681659 0.010495631 0.010213301 0.005590141 0.0045737517 0.005935996 0.008321688 0.0012351953 0.002343342 0.009253377 0.003656178 0.005865413 0.0053289854 0.0130013125 0.004199664 0.008787532 0.01633987 0.011060292 0.0050537135 0.009415718 0.009112212 0.0057736556 0.0038114598 0.0014892926 0.0030068182 0.0048772567 0.0033032652 0.003409139 0.008180522 0.0031409252 0.032785613 0.00851226 0.020871272 0.024019254 0.056155507 0.012097856 0.008533435 0.014751761 0.032856196 0.004326713 0.00458081 0.02496506 0.013481274 0.033667896 0.034444302 0.018393822 0.0024915654 0.030110532 0.0307246 0.0463657 0.01835853 0.005914821 0.006705346 0.0074111717 0.0066629965 0.002293934 0.00078346673 0.0032326826 0.0010587388 0.001037564 0.0019480794 6.0009055 0.0 63.0 12.0 11.0 2074008.0 2093056.0 0.0 0.0 512.0 1.0 1.0 1.0 0.0 0.0 1541141200.0 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 9.0 0.0 5.0 0.0 5.0 0.0 1446400.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -91136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 283648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1446400.0 0.0 62976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.899595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.570705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7012224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6481304 0.0 6.4422336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90826.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 283266.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -191612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1446162.0 0.0 62504.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 -1.0 0.0 1.0 0.0 1.0 2.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 3.0 2.0 0.0 -1.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -3.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 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 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 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 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -2.0 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 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 1.0 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 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 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 3.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 1725756.0 62504.0 1933312.0 0.0 0.0 15768.0 2058240.0 72828.0 1998848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1655216.0 0.0 0.0 2196.0 1454080.0 0.0 0.0 0.0 0.0


Input: 0.1664718 0.01647924 0.008741389 0.004285049 0.009012288 0.0048584994 0.0032479984 0.0028914541 0.009524297 0.0019903183 0.001933532 0.0026531373 0.007196984 0.0016672873 0.0015611618 0.01106591 0.0050139637 0.0012893316 0.001246509 0.0038810277 0.0030096816 0.0032591696 0.0018106498 0.0013451871 0.0033643642 0.0011031466 0.0012306833 0.0018860548 0.0047691306 0.0011292124 0.0015518526 0.0014606218 0.004016012 0.0014001117 0.0012027555 0.001084528 0.0075134984 0.0011636567 0.0009458201 0.0009867809 0.0019642524 0.0010193633 0.000959784 0.0016617017 0.0014010427 0.0013302923 0.0010659095 0.0010389127 0.0031893502 0.0017631726 0.0020117296 0.0055771735 0.0026503445 0.0019177062 0.0019046733 0.0019512195 0.0027890522 0.0030953267 0.0020843418 0.004952523 0.0032526532 0.0032498604 0.0025498045 0.004973003 0.0042059207 0.0033327127 0.0020638616 0.0032219326 0.004836157 0.010240179 0.0042077824 0.0039331596 0.00618693 0.0040467326 0.0019623907 0.0056395456 0.0056395456 0.0056423387 0.0023850307 0.008278719 0.007074102 0.003056228 0.0022025693 0.004137032 0.0027816049 0.004912493 0.004750512 0.0040336996 0.0022156022 0.0034146341 0.0012362689 0.002182089 0.00208248 0.003627816 0.0033513312 0.0036082666 0.0018962949 0.0029528951 0.0018804691 0.0024753304 0.0027127163 0.0044088624 0.005902067 0.0023338299 0.0043427665 0.0029007634 0.006687768 0.001858127 0.0024855707 0.0056935395 0.002133681 0.0020340718 0.0020889963 0.00082945445 0.002516291 0.0022267734 0.00845094 0.009157512 0.0025237387 0.0042589833 0.0016319121 0.0013908024 0.0008052504 0.002020108 0.0016989388 0.0028653883 0.0017054552 0.0017594489 0.0029026251 0.0019819401 0.0009448892 0.010484081 0.0045578103 0.007728542 0.001048222 0.0012064793 0.0020778254 0.010035375 0.0012651276 0.028073916 0.0013070191 0.0085970955 0.0010156395 0.00096164586 0.0012781605 0.00069633214 0.00068888476 0.0007531186 0.0010938373 0.0010035376 0.00078477006 0.0007549804 0.0011469 0.0010500838 0.00074753305 0.00078383915 0.0011236268 0.0008136287 0.0007019177 0.00087972445 0.0012576801 0.0010575312 0.00071215787 0.000922547 0.0010277416 0.0009653696 0.0007382238 0.0008033886 0.0013163284 0.0010696332 0.000934649 0.0009560603 0.001434556 0.001308881 0.0008043195 0.0008778626 0.0022798362 0.0037506982 0.00074846396 0.0008527276 0.0010891827 0.00091696146 0.0014708621 0.0021150624 0.0018320611 0.0012232359 0.0011394526 0.000860175 0.0012250978 0.0010910445 0.0011413145 0.0026866505 0.0070471046 0.002856079 0.0028411841 0.002531186 0.00249488 0.00088531 0.0020163844 0.005831316 0.002618693 0.0034509401 0.0012651276 0.0017743437 0.0026736176 0.0017156954 0.0035803388 0.003106498 0.003215416 0.003280581 0.0031437348 0.0029072799 0.0034304599 0.0032889592 0.0030152672 0.0020731706 0.0031604916 0.0019977659 0.0013721839 0.0029463787 0.0029240365 0.0024380935 0.0016914913 0.0015490598 0.0025274623 0.0011794824 0.0012735059 0.00094954384 0.0023356916 0.0017222118 0.0011524856 0.0012679204 0.015028859 0.005619996 0.0022472537 0.005763359 0.006161795 0.002720164 0.003215416 0.003343884 0.0041817166 0.0015593 0.0014792404 0.0011981009 0.002318935 0.0011403835 0.0025870416 0.0025423572 0.0065164776 0.003776764 0.0029016943 0.0033029232 0.004163098 0.0023915472 0.0130310925 0.06546267 0.024801705 0.0 1.8636689e-06 0.0 0.0047476967 8.8524275e-06 2.7955034e-06 0.0 0.0 0.0 4.6591722e-07 0.0 1.6307104e-05 4.6591722e-07 0.0 0.0 0.0008773221 1.8636689e-06 0.0 2.329586e-06 0.0 0.0 0.0 9.3183445e-07 2.7955034e-06 0.0 0.0 0.0 2.329586e-06 0.0 1.8636689e-06 6.476249e-05 0.0008871064 1.3977517e-06 1.3977517e-06 2.9818702e-05 4.6591722e-07 1.8636689e-06 9.3183445e-07 9.3183445e-07 1.3977517e-06 9.3183445e-07 0.0 1.4443434e-05 2.329586e-06 0.0 9.3183445e-07 1.0250179e-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 0.004833891 9.3183444e-05 0.00010250179 0.00014676392 0.0006713867 2.4227696e-05 6.848983e-05 0.00044961012 1.9102607e-05 1.3977517e-05 1.3045682e-05 5.1716812e-05 3.8205213e-05 3.2614207e-05 1.6307104e-05 0.000104365456 0.013628079 0.0018017018 7.408084e-05 0.00067697774 0.0034901858 0.0018809078 0.0011154058 9.970629e-05 3.540971e-05 2.189811e-05 0.000422121 0.0002301631 2.7489115e-05 8.246735e-05 0.00011647931 0.00015188902 0.014412683 0.0019405453 0.00044774645 0.00077435444 0.0009798239 0.00047523557 0.0021967997 0.00032334655 5.8239653e-05 0.0001108883 7.920593e-05 0.00057494186 0.00012300214 0.0011242583 0.0003517675 0.0017905199 0.021225791 0.0015980961 0.0017998383 0.0012752154 0.0021357646 0.001193214 0.0052876947 0.0017495191 0.00014443434 0.00014629801 0.0008680038 0.00044448502 0.00039416598 0.0010567002 0.0003759952 0.0022895173 0.012196781 0.00069095526 0.00086148095 0.0005600325 0.0015137651 0.0008232757 0.0035391073 0.00146298 0.00012626356 0.00016260511 0.00021571967 0.0004603262 0.0005618962 0.0007170466 0.00042864383 0.002396678 0.02099889 0.0006005673 0.0008032413 0.00069561444 0.0059106257 0.002094298 0.0051367376 0.0028174014 0.0005726123 0.0005493164 0.0008563559 0.00058798754 0.0035255956 0.0017350757 0.0016367672 0.0039598304 0.003399798 0.0021227188 0.00029911887 0.0004757015 0.0030783152 0.004092617 0.006180858 0.0028733115 0.00046079213 0.00038857496 0.00030144845 0.0023677913 0.0023896894 0.008375328 0.007811102 0.016451538 0.0066155586 0.0019619775 0.0012868633 0.013766456 0.0032260108 0.0020574904 0.0045189313 0.0023822347 0.0011997368 0.0010385294 0.0011182013 0.0022210274 0.0019955235 0.005240171 0.0046358765 0.009712511 0.013129082 0.0018040314 0.0014285023 0.0036886667 0.004890733 0.0029175736 0.0031924648 0.0021003548 0.0039262846 0.0008060368 0.0010138359 0.001930295 0.003461765 0.004315791 0.0046079215 0.011672159 0.060690377 0.008949338 0.0071690683 0.009167853 0.020068452 0.016147759 0.007920126 0.013077364 0.038714927 0.0028709818 0.002690206 0.0052844333 0.014759325 0.0067977323 0.015512714 0.033538118 0.04918362 0.010802757 0.009569474 0.0100242095 0.020235252 0.018014224 0.008671185 0.013600124 0.033938807 0.0031472708 0.003608529 0.0051651583 0.014292011 0.007831137 0.015454474 0.031232761 0.006116561 0.0050118715 0.004926609 0.0066546956 0.0049345293 0.004984848 0.00489679 0.005021656 0.0050677815 0.005055668 0.005004883 0.0051027252 0.005126953 0.005160965 0.0056105754 0.0052923537 3192.0 13.342105 42588.0 0.018479384 0.0020663098 0.002817695 0.0027237718 0.010284587 0.0027237718 0.0019489058 0.0035690805 0.004414389 0.0033342727 0.0024185216 0.003287311 0.004038696 0.0036630037 0.003052503 0.0027707336 0.0120691275 0.009603644 0.010002818 0.012984878 0.012750071 0.010355029 0.009321875 0.009227952 0.012045647 0.012750071 0.011951723 0.017140979 0.012890955 0.012256973 0.012045647 0.011716915 0.0033342727 0.005893679 0.0027942143 0.008194797 0.010730722 0.006198929 0.00533014 0.0068563917 0.0075138537 0.007584296 0.0019958674 0.0041326196 0.0057058325 0.004578755 0.003968254 0.16044426 0.013078801 0.0050248895 0.0043674274 0.0113881845 0.0065041794 0.005236217 0.006574622 0.011223819 0.004766601 0.0051422934 0.0028646567 0.0029350992 0.003616042 0.0027237718 0.002817695 0.018526345 0.003498638 0.022024984 0.005236217 0.013266648 0.012092608 0.041631445 0.0099323755 0.007020757 0.009533202 0.020498732 0.008852259 0.0039212923 0.01599042 0.009603644 0.019982155 0.022400675 0.008781817 0.0022541562 0.02397389 0.016483517 0.035150748 0.012468301 0.004884005 0.0050483705 0.0058467174 0.0060580447 0.0023011176 0.027308162 0.003968254 0.0024185216 0.0019019442 0.0029116182 5.8262563 0.0 0.0 0.0 6.0 1074200.0 1101824.0 1.0 0.0 496.0 1.0 1.0 0.0 0.0 0.0 1539032300.0 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 0.0 0.0 0.0 0.0 0.0 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 11.0 0.0 5.0 1.0 5.0 1.0 570880.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -570880.0 0.0 250880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2812057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7800956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.002691 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6814923 0.0 6.8250766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 183362.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -570703.0 0.0 250692.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 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 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -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 -2.0 -1.0 -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 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 2.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 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 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 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 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 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 749572.0 250692.0 802816.0 0.0 0.0 0.0 0.0 27724.0 1056768.0 28.0 579792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 730928.0 0.0 0.0 2144.0 577536.0 0.0 0.0 0.0 0.0


Input: 0.081862435 0.013212316 0.018999007 0.011130233 0.016872374 0.009566327 0.0150177255 0.008342399 0.014956764 0.008035245 0.012490152 0.007348252 0.012715243 0.0072450857 0.01149835 0.008572179 0.012311956 0.006379896 0.0107785305 0.0064572706 0.015732856 0.0074912775 0.009866446 0.0059836432 0.009622599 0.0056694555 0.008930916 0.005348233 0.008851197 0.0054115397 0.008778512 0.0051184534 0.010504202 0.0061337035 0.008581557 0.0049027423 0.0085393535 0.0047737844 0.0074865883 0.0044291154 0.0074326606 0.004389256 0.007024685 0.004422081 0.007113783 0.0041125827 0.0069449656 0.003936731 0.0069308975 0.0039625224 0.006619054 0.0046307584 0.0064408574 0.004619035 0.0062063886 0.003664747 0.0063001765 0.004011761 0.0065627815 0.0046166903 0.0060821204 0.003620198 0.0058570304 0.003388074 0.00623218 0.0036108193 0.005378714 0.003800739 0.0056671104 0.0059672305 0.0059015793 0.0034513806 0.0052614794 0.0031653286 0.0047878525 0.0031137455 0.00518176 0.003657713 0.004937913 0.0028863107 0.0065393345 0.0030668518 0.004612001 0.0041055484 0.004738614 0.00360613 0.0052075516 0.003777292 0.0046073114 0.0031489157 0.0042931237 0.0026588761 0.0043962896 0.003012924 0.004492422 0.0027245274 0.003920318 0.003162984 0.0038288753 0.0026823229 0.0045862095 0.0039906586 0.004072723 0.0023751687 0.005191139 0.0031278136 0.0050785937 0.0021993173 0.004485388 0.0023704795 0.004220438 0.002998856 0.003988314 0.0021125637 0.004297813 0.0028347278 0.006241559 0.004778474 0.0034560699 0.0022649686 0.003094988 0.002192283 0.0028933447 0.0018147884 0.003749156 0.0026049481 0.0031067114 0.0017233456 0.003964867 0.0018640269 0.0027784551 0.0039085946 0.003357593 0.0030762304 0.002621361 0.0014912215 0.0028652085 0.0032802182 0.0030363707 0.0048159887 0.0024244073 0.0029707195 0.0025228842 0.0013528849 0.002314207 0.0013505402 0.002337654 0.0013364721 0.0022110406 0.001298957 0.002072704 0.001291923 0.0021125637 0.0013013018 0.0020375338 0.0012942677 0.0019742271 0.0011746886 0.001946091 0.0011957908 0.0022907602 0.0012520633 0.0018194778 0.0015334259 0.0017843074 0.0011020033 0.0016319028 0.0010129052 0.001772584 0.0010809011 0.0015990771 0.0010809011 0.0017022433 0.000984769 0.0015732856 0.0009331858 0.0016553496 0.00090270484 0.0014560511 0.0009800795 0.0015592175 0.00086050044 0.001735069 0.0009941476 0.0014068127 0.0008065726 0.0013505402 0.0008370536 0.001359919 0.00080422795 0.0013341274 0.0008065726 0.0026917018 0.0010058711 0.0012403398 0.0012590974 0.0018429246 0.0007385767 0.001479498 0.001036352 0.0012637868 0.0009495986 0.0009777348 0.0006776148 0.0009988371 0.0005345888 0.00096132205 0.000586172 0.002757353 0.0039320416 0.0009800795 0.0005275548 0.0008323642 0.00047597164 0.0013716425 0.0005041079 0.0010011818 0.00048769507 0.00068699353 0.00055334636 0.00086284516 0.0004267332 0.00059320603 0.00044080132 0.001036352 0.00040094162 0.0005767932 0.0003868735 0.0007432661 0.00026494972 0.0004923845 0.00025791567 0.002072704 0.00080188323 0.00045018006 0.001172344 0.0010129052 0.00025791567 0.0003845288 0.0002485369 0.0007971939 0.0002532263 0.00030480942 0.00021571129 0.000773747 0.00016178346 0.0006143082 0.00034701382 0.0013505402 0.00053224416 0.0002743285 0.0003282563 0.00072685326 0.0003845288 0.00045018006 0.009390475 0.019277109 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022343278 3.529744e-06 8.236069e-06 2.1178465e-05 2.1178465e-05 3.0591116e-05 5.1769577e-05 2.8237951e-05 0.0 0.0 0.0 0.0 2.3531627e-06 1.1765813e-06 1.1765813e-06 5.8829064e-06 0.004320407 0.00011530497 3.2944277e-05 3.1767697e-05 4.471009e-05 4.8239835e-05 7.883095e-05 5.5299322e-05 2.2355045e-05 8.236069e-06 1.0589232e-05 9.412651e-06 1.2942394e-05 1.0589232e-05 7.059488e-06 1.0589232e-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 0.014622552 0.0003153238 0.0006424134 0.0002329631 0.00023766943 0.00030473457 0.0014519014 0.0019284168 0.0006859469 0.00030120483 0.00021766755 0.00014001317 0.000103539154 0.00016236822 0.000118834716 0.00022119729 0.0065088477 1.1765813e-06 0.0008271367 0.00032944276 0.000744776 0.00059417356 0.003487387 0.0019295934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.529744e-05 0.0065417923 0.0003470915 0.0008365493 0.00057064195 0.0006612387 0.00054711034 0.0026967244 0.0015754424 0.00012236446 0.00010118599 8.118411e-05 6.235881e-05 6.4711974e-05 8.589044e-05 5.4122742e-05 0.000109422064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010459808 0.00055769953 0.00036591679 0.00031650037 0.000108245484 0.000118834716 0.0003200301 0.000151779 0.000108245484 6.9418296e-05 0.00019766566 6.353539e-05 8.82436e-05 0.00063417736 0.00017884036 0.0004941642 0.18984845 0.12117023 0.093480565 0.07792498 0.06672393 0.05544169 0.046105515 0.04001553 0.036269296 0.026181288 0.02132789 0.017458113 0.013861304 0.009482069 0.0064900224 0.0047251508 0.012614128 0.00997035 0.0044474774 0.004060382 0.0043521742 0.007852504 0.0040333206 0.0053863893 0.008991434 0.00058358436 0.0012601186 0.0010648061 0.004005083 0.005784074 0.0036179875 0.011132812 0.00026708396 0.00032826618 0.00014589609 0.000103539154 0.00014001317 0.000117658135 9.294992e-05 0.00013060053 0.0001953125 1.4118976e-05 6.7065135e-05 4.353351e-05 0.00013413027 0.00029767508 0.000109422064 0.00022237387 4246.0 6.424164 27277.0 0.023243025 0.010998277 0.018550428 0.009861789 0.016974008 0.010888294 0.016570738 0.010118415 0.016534077 0.009971771 0.017597243 0.008138725 0.015837518 0.009165231 0.017377278 0.008688639 0.015837518 0.008798622 0.015287605 0.008505334 0.013674525 0.009165231 0.014774352 0.008322029 0.013711185 0.008908604 0.014591048 0.009568501 0.014151116 0.008248707 0.0126113575 0.0077721155 0.012648018 0.008761961 0.0119148 0.009421857 0.0129413055 0.010851633 0.013014628 0.007992081 0.011841478 0.008615317 0.011328225 0.007625472 0.012428053 0.007735455 0.011401547 0.0074055064 0.011804817 0.0069289147 0.010778312 0.009201892 0.0126113575 0.0068922536 0.010924955 0.009751805 0.010265059 0.006122374 0.009825127 0.00516919 0.010081754 0.0059390697 0.009421857 0.0060123913 0.0087252995 0.01154819 0.009201892 0.007735455 0.012061444 0.020346813 0.008761961 0.0059390697 0.01110826 0.010814972 0.009201892 0.0053158337 0.013784507 0.006708949 0.013931151 0.00993511 0.01110826 0.0045826156 0.015250944 0.009971771 0.018843714 0.007735455 0.008248707 0.004435972 0.006379001 0.005242512 0.0064156614 0.003849397 0.0066356272 0.004435972 0.00634234 0.003299483 6.488362 1.0 0.0 0.0 14.0 426496.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 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 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5182528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557308 0.0 2.2244334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.30463484 0.01678826 0.02657782 0.0223269 0.0167356 0.018425437 0.014485677 0.01683613 0.014993107 0.014222388 0.027650123 0.0018143 0.0023600261 0.0019196155 0.001957912 0.0026711856 0.002431832 0.0019148284 0.002087163 0.001957912 0.0020584406 0.0016371784 0.0017760034 0.0019674862 0.0023408777 0.001546224 0.0019770605 0.0024126838 0.0019674862 0.0015988818 0.00201057 0.0020536536 0.0027382046 0.0019435509 0.0016706878 0.002015357 0.007869945 0.00201057 0.0021302467 0.0019244025 0.001957912 0.001953125 0.0016467525 0.0021781174 0.0026424632 0.001957912 0.0016994103 0.0018430224 0.0019244025 0.002096737 0.0022786458 0.0020392924 0.0020297181 0.0019483379 0.0019914217 0.0025227864 0.0023073682 0.0019100413 0.0016419654 0.0017999387 0.002225988 0.0018430224 0.002221201 0.0019435509 0.001881319 0.0019626992 0.0018047258 0.001953125 0.0042748544 0.0022642845 0.0023743873 0.0024174708 0.0028483074 0.0017999387 0.001756855 0.0021158855 0.003508923 0.002225988 0.001546224 0.0017616422 0.0019722732 0.0018573835 0.0019244025 0.0019004672 0.002494064 0.0023121554 0.00228822 0.0021829044 0.0018956801 0.001819087 0.0020823758 0.0025275736 0.0021206725 0.0018525965 0.002087163 0.0019387638 0.0019291897 0.0019339767 0.0016946231 0.0019770605 0.0020775888 0.0019866345 0.0021015243 0.0018621706 0.002149395 0.0018956801 0.0018143 0.0016371784 0.00209195 0.0027908625 0.0018621706 0.0024414062 0.002096737 0.0021254595 0.0021206725 0.0020536536 0.0026568244 0.0022594975 0.0019962087 0.0017424938 0.0017329197 0.0019100413 0.0023313037 0.001756855 0.0019100413 0.0018047258 0.0021206725 0.0015988818 0.001819087 0.0019818475 0.0014839921 0.0026376762 0.002556296 0.0025802313 0.0017472809 0.0024509805 0.0020775888 0.004844516 0.0020488664 0.004255706 0.0019052543 0.0023217294 0.0017089844 0.0015749463 0.0019244025 0.0020728018 0.002154182 0.0015988818 0.0018956801 0.0016515395 0.0016706878 0.002293007 0.002096737 0.001819087 0.0015653722 0.0019291897 0.0021110983 0.0018382353 0.0018669578 0.0020632276 0.0018717448 0.0018382353 0.0020584406 0.001756855 0.0020009957 0.0018286612 0.0019148284 0.0017137715 0.001752068 0.0022020526 0.0017377068 0.0019052543 0.0019866345 0.0021015243 0.001819087 0.002158969 0.0020057827 0.0017377068 0.0017233456 0.001685049 0.0018908931 0.0016132429 0.001752068 0.0018095128 0.0017760034 0.0016754749 0.002015357 0.0017472809 0.0019004672 0.0016228171 0.0021206725 0.002293007 0.0022116269 0.0023983226 0.002561083 0.0020823758 0.0019962087 0.0018143 0.002293007 0.0026568244 0.001953125 0.001756855 0.0020536536 0.0015605852 0.001819087 0.0020392924 0.0021206725 0.0019291897 0.0021781174 0.0019339767 0.0017472809 0.0018669578 0.0018621706 0.0023600261 0.0019244025 0.0022977942 0.0019004672 0.001752068 0.0016802619 0.0019818475 0.0019818475 0.0018478094 0.001881319 0.0017137715 0.0018430224 0.0016228171 0.002293007 0.0018143 0.0020584406 0.0018382353 0.0019291897 0.0020392924 0.0025802313 0.0021254595 0.0018478094 0.0019866345 0.0021972656 0.0020488664 0.0019196155 0.0019339767 0.0018908931 0.0019914217 0.0022068399 0.001752068 0.0015653722 0.0020775888 0.0018478094 0.0021015243 0.0031929763 0.0016754749 0.0021685432 0.0021350337 0.0022786458 0.0019291897 0.0019244025 0.0032073376 0.25581607 7.215979e-06 3.367457e-05 2.1647937e-05 4.8106525e-05 6.013316e-05 6.2538486e-05 3.367457e-05 0.0 9.621305e-06 2.4053263e-06 1.4431958e-05 1.4431958e-05 7.215979e-06 1.4431958e-05 1.2026631e-05 0.004760141 1.924261e-05 1.924261e-05 1.2026631e-05 4.8106526e-06 4.8106526e-06 1.2026631e-05 7.215979e-06 1.6837284e-05 1.4431958e-05 7.215979e-06 1.2026631e-05 9.621305e-06 1.2026631e-05 7.215979e-06 7.215979e-06 0.03185855 0.00014672491 0.00020685807 0.0005363878 0.0002092634 0.00014191425 0.00022129003 0.00017799415 0.00011786099 0.00010583436 0.000110645015 0.0001274823 0.0001274823 0.000108239685 0.0001371036 0.00014913024 0.0043969364 3.367457e-05 3.6079895e-05 2.8863917e-05 4.57012e-05 2.645859e-05 3.367457e-05 3.1269243e-05 3.848522e-05 3.848522e-05 3.1269243e-05 3.6079895e-05 2.1647937e-05 4.8106525e-05 3.848522e-05 4.0890547e-05 0.020991283 0.00013950893 0.00018039948 0.0002188847 0.00039928418 0.00023812731 0.00096213055 0.00069754466 0.00011305034 9.861838e-05 0.000108239685 9.621305e-05 0.00010583436 9.621305e-05 0.000108239685 7.697044e-05 0.012067522 0.00021166872 0.00026699124 0.00015394088 0.00022369534 0.00021166872 0.0001371036 0.00022610067 0.00022129003 0.00014431958 9.14024e-05 0.00013229295 0.00019723676 0.00014191425 0.0001731835 0.00017799415 0.022706281 0.00045220135 0.0005460091 0.0005075239 0.0006037369 0.0004738493 0.0006662754 0.0005315771 0.00035117764 0.0003559883 0.00036320428 0.0003824469 0.00039447352 0.00039447352 0.00042814808 0.00039928418 0.014388662 0.00028623384 0.00038966286 0.00035117764 0.0003559883 0.0003752309 0.0003030711 0.00039928418 0.0004185268 0.00035358296 0.00029826048 0.00030788177 0.0004185268 0.00032952972 0.000346367 0.0003824469 0.013282212 0.0004377694 0.00041612145 0.00048587593 0.00048106528 0.00044979603 0.00039687884 0.00040650016 0.00038725755 0.0004473907 0.00041131082 0.00039928418 0.00042574276 0.00040890547 0.00042574276 0.00044258006 0.008916545 0.0003848522 0.0004377694 0.0003175031 0.0005652517 0.00042333745 0.00027661253 0.0003199084 0.00072400324 0.00031509774 0.00025736992 0.00027180187 0.00042574276 0.00028623384 0.0004016895 0.0004546067 0.011766857 0.00046663333 0.00058930495 0.00058208895 0.0005772783 0.0004930919 0.00046903864 0.0005339825 0.0005724677 0.00048828125 0.00045941732 0.00042333745 0.00058930495 0.0005844943 0.0005003079 0.0006085476 0.017825874 0.0011064501 0.0012074738 0.0010848022 0.0011737993 0.0011737993 0.0011521514 0.0011882312 0.0010415063 0.0010583436 0.0010775862 0.0009933998 0.001024669 0.0011232874 0.0011232874 0.0011280981 0.01794133 0.0013421722 0.0015201663 0.0014095212 0.0015394088 0.0014023053 0.0013974946 0.0013181189 0.0014552225 0.0014768704 0.0013974946 0.0014480065 0.0014383851 0.0014167372 0.0015177609 0.0013878733 0.02152767 0.002749288 0.005816079 0.0027108027 0.0040890547 0.0030643858 0.0024197584 0.0026194004 0.00626347 0.0022610067 0.002070986 0.0021503617 0.0032087055 0.0023740572 0.0024438116 0.0031966788 0.017681554 0.003028306 0.0052099368 0.0031678148 0.004437827 0.003538235 0.0029032289 0.0027516934 0.005592384 0.002638643 0.0025472406 0.0026554803 0.0035021552 0.0026097791 0.003059575 0.003641664 0.026439346 0.021032173 0.02144108 0.021284733 0.021874039 0.021330435 0.02089507 0.021077875 0.020856585 0.020885449 0.021561345 0.020050801 0.02149159 0.021104334 0.021506023 0.021996709 540.0 6.0518517 3268.0 0.0125458995 0.01132191 0.009485924 0.009485924 0.01621787 0.0076499386 0.010097919 0.008261934 0.007955937 0.006425949 0.008567931 0.009791922 0.012239902 0.010709914 0.015299877 0.010403917 0.008261934 0.013463892 0.01376989 0.008567931 0.010097919 0.009485924 0.012239902 0.010403917 0.010097919 0.011627907 0.006119951 0.008567931 0.007955937 0.0058139535 0.0076499386 0.01376989 0.006731946 0.009791922 0.0091799265 0.01376989 0.010097919 0.0125458995 0.013157895 0.0125458995 0.008567931 0.009791922 0.011933904 0.008261934 0.011933904 0.009485924 0.0076499386 0.008261934 0.008873929 0.008873929 0.011015912 0.010709914 0.008261934 0.011015912 0.008261934 0.011015912 0.011627907 0.012239902 0.009791922 0.007955937 0.009485924 0.0073439414 0.008261934 0.009485924 0.008567931 0.0125458995 0.007955937 0.0125458995 0.01132191 0.017747859 0.017747859 0.010709914 0.010709914 0.011015912 0.007955937 0.009485924 0.015605875 0.011015912 0.01376989 0.018053856 0.008261934 0.011933904 0.01499388 0.010097919 0.015299877 0.014075887 0.010097919 0.0091799265 0.010403917 0.0091799265 0.010097919 0.009791922 0.008567931 0.0070379437 0.005507956 0.006425949 6.5398517 0.0 0.0 0.0 4.0 208896.0 208896.0 1.0 0.0 14.0 1.0 1.0 0.0 0.0 0.0 1164401300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 0.0 5.0 0.0 5.0 0.0 114688.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -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 -40960.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 -4096.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3241167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5393554 7.3865795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4135036 -4.840268 3.2508266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39311.0 36318.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112114.0 -484.0 880.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68.0 140360.0 4156.0 159808.0 880.0 200704.0 0.0 0.0 0.0 0.0 208.0 204800.0 28.0 120112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 159744.0 0.0 0.0 0.0 0.0


Input: 0.0409372 0.0046079354 0.0036248765 0.0039932188 0.0033687446 0.0037078145 0.0037029358 0.0037297686 0.003412653 0.0035029089 0.0037517229 0.0037078145 0.0038810084 0.004266426 0.0037541622 0.003968825 0.003559014 0.0036370733 0.0037956312 0.0038200247 0.003815146 0.004771372 0.0037248898 0.00428838 0.0035687715 0.0037248898 0.0040224907 0.004002976 0.0033663053 0.003802949 0.0041176258 0.004051763 0.004451817 0.0038932052 0.004054202 0.0042786226 0.0035565747 0.0039005233 0.0034394858 0.0035687715 0.0033077607 0.0035419385 0.005061655 0.0036858602 0.00364927 0.0038736903 0.0044005904 0.003683421 0.0034931516 0.0033102 0.00417617 0.0037151326 0.0035809681 0.004002976 0.0034224102 0.00398834 0.0031394456 0.003405335 0.0037297686 0.0036736636 0.0032345802 0.0039395527 0.00357365 0.003739526 0.0038273428 0.003976143 0.004098111 0.0042493506 0.0035370598 0.004232275 0.004517679 0.0038127066 0.0056836894 0.0033248363 0.003802949 0.0033126394 0.0032980035 0.0037029358 0.0035199844 0.0036687849 0.004622571 0.004583542 0.003932235 0.0035956043 0.0053494982 0.004134701 0.0038053885 0.0040420056 0.00338582 0.00312237 0.0039224774 0.003322397 0.004786008 0.003878569 0.0034614399 0.003759041 0.0032370195 0.0033126394 0.003141885 0.003468758 0.0033175182 0.004744539 0.0033467903 0.0034736367 0.0033126394 0.00413958 0.0046518436 0.0035248632 0.003476076 0.0036297552 0.004498164 0.0039005233 0.0032004293 0.006391101 0.0036712242 0.003656588 0.0040054154 0.0040639597 0.003141885 0.0039005233 0.0030930978 0.003454122 0.0038005097 0.0033565478 0.0032784885 0.003907841 0.0035834075 0.0040273694 0.0038492968 0.0034590005 0.003551696 0.0041908063 0.003088219 0.00357365 0.0036297552 0.0033467903 0.003990779 0.0041273828 0.004451817 0.005071412 0.0035321813 0.0040200516 0.0036199978 0.003954189 0.0047128275 0.004493286 0.0030930978 0.0033028822 0.0034102136 0.004120065 0.0034199709 0.0036687849 0.0030833404 0.0034858335 0.0037248898 0.0032931247 0.0031882327 0.0035394991 0.0032760492 0.003698057 0.0040761568 0.0042908196 0.0035126663 0.0040395665 0.005527571 0.0035029089 0.0033053216 0.0032516557 0.0057202796 0.0036639061 0.004263987 0.003239459 0.0028711169 0.0035273025 0.0039517498 0.0033126394 0.0030833404 0.0027906182 0.00338582 0.0031052947 0.0033053216 0.0039224774 0.0032931247 0.0038005097 0.0063715866 0.0031126128 0.0034224102 0.003183354 0.0030296748 0.0036248765 0.003405335 0.0035248632 0.00338582 0.0032931247 0.0029857664 0.003322397 0.00519094 0.0047201454 0.0035199844 0.0033541084 0.003337033 0.003329715 0.0034150924 0.0037126932 0.006242301 0.0031589603 0.0030711438 0.0035273025 0.0034297283 0.0029638123 0.00556904 0.0031857933 0.004032248 0.003759041 0.0030687044 0.003822464 0.0027442705 0.0031882327 0.0034565614 0.0035004695 0.0048640673 0.0032784885 0.0033053216 0.0035004695 0.0035638928 0.0027467099 0.006098379 0.0035834075 0.0031370062 0.0033394725 0.0034321677 0.003212626 0.0034663186 0.0048933392 0.003510227 0.0034224102 0.0031126128 0.003510227 0.003934674 0.003510227 0.003393138 0.0031931112 0.0032980035 0.003468758 0.004583542 0.003351669 0.0031174913 0.0038517362 0.0034150924 0.0033663053 0.0041078683 0.0036443914 0.0038297821 0.004010294 0.0038517362 0.005986169 0.017453302 1.2237625e-06 1.1013863e-05 3.304159e-05 4.89505e-06 4.89505e-06 1.7132676e-05 4.89505e-06 0.0 2.447525e-06 1.2237625e-06 2.447525e-06 0.0 2.447525e-06 2.447525e-06 2.447525e-06 0.0024242736 6.1188125e-06 1.2237625e-05 4.89505e-06 1.3461387e-05 0.0 1.95802e-05 1.5908912e-05 1.2237625e-06 0.0 1.2237625e-06 0.0 2.447525e-06 0.0 3.6712877e-06 1.2237625e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005384555 5.9964364e-05 0.00010157229 8.566338e-05 0.00012849507 0.00011013863 0.0002741228 0.00011625744 4.89505e-06 4.89505e-06 8.566338e-06 6.1188125e-06 0.0011809309 4.89505e-06 1.5908912e-05 3.1817824e-05 0.001973929 4.89505e-06 5.5069315e-05 3.793664e-05 7.83208e-05 5.9964364e-05 0.00021171091 7.220199e-05 2.447525e-06 0.0 3.6712877e-06 2.447525e-06 0.0 0.0 1.2237625e-06 2.447525e-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 0.0014538299 3.6712877e-06 9.7901e-06 1.1013863e-05 0.00016887923 9.0558424e-05 0.0004870575 0.00025087132 0.0 6.1188125e-06 7.3425754e-06 8.566338e-06 3.6712877e-06 1.2237625e-06 2.447525e-06 1.2237625e-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 0.00317444 0.0010389744 0.00020314458 0.00016153665 0.00018356438 0.0002582139 0.00022639606 0.00017255051 0.00015908913 0.00014807527 8.3215855e-05 9.9124765e-05 0.001293517 8.81109e-05 0.00011625744 0.00011258615 0.0012274338 2.9370301e-05 0.00015786536 9.667724e-05 0.00046747728 0.00047114858 0.0016373943 0.0007159011 2.447525e-05 2.9370301e-05 2.447525e-05 2.5699013e-05 2.8146538e-05 2.0803964e-05 1.8356437e-05 3.793664e-05 0.0027436756 0.00016031289 0.00014318022 0.0001566416 0.00013461387 0.00016153665 0.000170103 0.00016887923 0.00012360001 0.00014073269 0.00012482378 0.00015052278 0.00016153665 0.00012849507 0.00017377429 0.000170103 0.0015272556 0.0010034853 0.00024108122 0.0002055921 0.0001896832 0.0002484238 0.0005494694 0.00031817827 7.83208e-05 9.0558424e-05 8.199209e-05 9.0558424e-05 8.566338e-05 8.3215855e-05 0.00010524358 0.00011380992 0.0014012081 0.00018356438 0.0002447525 0.000118704964 0.0003169545 0.0004760436 0.00020192082 0.00018723567 0.00068775454 0.00028024163 2.3251489e-05 6.241189e-05 0.0003389822 7.587328e-05 0.00017744557 0.00023618617 0.0041497787 0.002870947 0.0026714737 0.0022296954 0.0033873746 0.005276864 0.002123228 0.0013179922 0.003391046 0.0017426378 0.0052891015 0.0013277824 0.0022015488 0.0019604675 0.0012457903 0.0014207884 0.05422859 0.05674342 0.058559485 0.055030152 0.057580475 0.05659779 0.053242236 0.057223137 0.057072613 0.055142738 0.056532934 0.05460306 0.054295897 0.055363018 0.056644298 0.058383264 1978.0 6.5308394 12918.0 0.01811426 0.0095990095 0.006734789 0.009289363 0.006425143 0.012540641 0.007276668 0.0077411365 0.0061154976 0.011147236 0.01308252 0.010605357 0.0071218456 0.01076018 0.008360427 0.0102183 0.008747485 0.008128193 0.010527945 0.011843938 0.0056510298 0.009831243 0.0085926615 0.010605357 0.0061154976 0.009444186 0.008824895 0.0085926615 0.0061154976 0.00967642 0.008205605 0.007663725 0.00789596 0.010992413 0.010140888 0.010915003 0.009366775 0.020978479 0.011689116 0.011456882 0.011843938 0.010682768 0.010605357 0.008283016 0.008050782 0.011843938 0.008205605 0.008205605 0.009289363 0.017959436 0.012230995 0.0121535845 0.01416628 0.012772875 0.011147236 0.010915003 0.0071992567 0.00789596 0.01076018 0.0071218456 0.008205605 0.0113020595 0.007044434 0.00905713 0.0054962067 0.0155596845 0.0069670225 0.010063477 0.012230995 0.031429015 0.008050782 0.009211952 0.008205605 0.017804613 0.009366775 0.008128193 0.014243691 0.011456882 0.020126954 0.01873355 0.008979718 0.010373123 0.016488621 0.011689116 0.020901069 0.014940393 0.007586314 0.008979718 0.0063477317 0.0085926615 0.008824895 0.0068122 0.0054187956 0.008902307 0.006425143 0.007586314 6.493619 0.0 0.0 0.0 4.0 409945.0 217088.0 0.0 0.0 87.0 1.0 1.0 0.0 0.0 0.0 972421570.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 65536.0 4096.0 4096.0 6.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 4096.0 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 6.427079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9460297 0.0 0.0 0.0 0.0 0.0 4.292111 0.0 3.3690488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6126.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36408.0 0.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 -76140.0 0.0 1120.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 85956.0 1120.0 126976.0 0.0 0.0 0.0 0.0 60.0 212992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 364.0 81920.0 0.0 0.0 0.0 0.0