Input: 0.40738553 0.008729189 0.0057065934 0.0059749936 0.006693479 0.004686674 0.004579314 0.004628865 0.00904301 0.004372853 0.004393499 0.003997093 0.0067017376 0.00438937 0.0045338925 0.0058304705 0.0068958113 0.004092065 0.004038385 0.0037575979 0.005062434 0.0045338925 0.0038773455 0.0039021207 0.0046908036 0.0040218686 0.003980576 0.0040838066 0.0047155786 0.004145745 0.0039558006 0.0042407173 0.007250925 0.0038443115 0.0040838066 0.004166391 0.00481468 0.0039351545 0.0039847055 0.004323302 0.004538022 0.0038649577 0.003922767 0.0042283298 0.004286139 0.0039847055 0.0039021207 0.004034256 0.0048724893 0.004794034 0.004591702 0.0061236457 0.004410016 0.004670157 0.0041209697 0.004092065 0.0044967295 0.0048188097 0.0042943973 0.005661172 0.004426533 0.00481468 0.0041581327 0.0041168407 0.0026468353 0.0043811114 0.0005657043 0.0023619186 0.0012387685 0.0056157503 0.0010529532 0.00082171644 0.0010446948 0.00047073202 0.0015938821 0.0002188491 0.0006565473 0.0043274313 0.0004913782 0.000379889 0.0029152352 0.0017507928 0.0010116609 0.0012800607 0.0005822212 0.0029936905 0.0018251189 0.0012759316 0.00066480576 0.001990288 0.00016929836 0.00053679966 0.00048311971 0.0021141649 0.00094972254 0.0008175872 0.00069371035 0.002423857 0.00045421513 0.0012924485 0.001465876 0.0035304902 0.0011231501 0.0006854519 0.0017136298 0.0021926202 0.0026344478 0.0006359012 0.0015938821 0.0008010703 0.0014328422 0.0026344478 0.0012346393 0.00019820296 0.0021802327 0.0014865221 0.005008754 0.0057602734 0.0009827564 0.0006317719 0.00070609804 0.0011272794 0.000957981 0.00094972254 0.0014369715 0.002242171 0.010021637 0.018441133 0.018684758 0.011784818 0.0012924485 0.0060493196 0.0018705404 0.0039558006 0.000379889 0.00021059065 0.00095385173 0.0042324592 0.00064003037 0.014010471 0.0004666028 0.0022917218 0.0002766583 0.00025601216 0.00042943974 0.00012800608 0.000111489164 0.0003179506 0.00044595666 0.00038814745 0.00014039376 0.0001321353 0.0005202828 0.00017342759 0.00013626454 9.910148e-05 0.00028904597 0.00016516913 0.00012387685 0.00012800608 0.0006317719 0.0005533166 0.00013626454 0.0004666028 0.00044595666 0.00024362447 0.000107359934 0.00011561839 0.0004211813 0.00023123679 0.00012387685 0.00014039376 0.00042943974 0.0007639072 0.000107359934 0.0001321353 0.00040053515 0.00013626454 0.00012800608 0.00011974762 0.0003344675 0.00023949525 0.0005161535 0.00022297833 0.00065241806 0.00025188294 0.0003509844 0.0002477537 0.0003096921 0.00028078753 0.0002601414 0.00022297833 0.0027459369 0.0011892178 0.0007762949 0.0022710755 0.0016682083 0.00024362447 0.0007102273 0.0023123678 0.0008919133 0.00078042416 0.0002477537 0.00023536601 0.0069536204 0.00021471987 0.00016929836 0.0002188491 0.0007143565 0.00042943974 0.0003509844 0.0003633721 0.00057396275 0.000111489164 0.00037163054 0.00033033825 0.0006482889 0.00018168605 0.0022999803 0.0003509844 0.00044595666 0.00016516913 0.00018581527 0.0003055629 0.0011520548 0.0002766583 0.00016929836 0.00016516913 0.0011727009 0.0012098639 0.00029730445 0.00017342759 0.006714125 0.0007432611 0.00021059065 0.0018581528 0.002477537 0.00010323071 0.00020233219 0.0002188491 0.001969642 0.0006193842 0.00041292285 0.00038401823 0.0010034025 0.00019820296 0.00070609804 0.00066480576 0.0021926202 0.0005987381 0.0008753964 0.0004666028 0.0033694503 0.000524412 0.0016062699 0.023825647 0.27176487 1.0388962e-05 1.8700133e-05 6.2333775e-06 1.0388962e-05 2.0777925e-06 0.00034491357 0.00015791223 0.0 4.155585e-06 0.0 4.155585e-06 0.0 4.155585e-06 0.0 1.2466755e-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 0.0039893617 1.662234e-05 2.0777925e-05 8.31117e-06 6.2333775e-06 1.0388962e-05 3.9478058e-05 2.2855718e-05 6.0255985e-05 1.2466755e-05 1.2466755e-05 6.2333775e-06 1.2466755e-05 1.0388962e-05 1.8700133e-05 8.31117e-06 0.0037379488 6.648936e-05 2.0777925e-05 1.8700133e-05 0.00013297872 3.116689e-05 5.8178193e-05 4.7789228e-05 1.4544548e-05 6.2333775e-06 1.2466755e-05 1.0388962e-05 2.493351e-05 2.493351e-05 2.0777925e-06 4.5711437e-05 0.003565492 0.00015167886 0.000118434175 8.31117e-06 0.00017661236 3.116689e-05 5.8178193e-05 4.5711437e-05 4.155585e-06 2.0777925e-06 0.0 6.2333775e-06 2.493351e-05 2.2855718e-05 0.0 3.9478058e-05 0.012649601 0.00047165892 0.00037608045 0.0003885472 0.00023271277 7.480053e-05 0.00014544548 0.0010679853 0.0010347407 2.493351e-05 4.5711437e-05 2.0777925e-05 3.324468e-05 4.5711437e-05 3.9478058e-05 0.00036984708 0.040743433 0.00076878327 0.0012716091 0.00054022606 0.00040309175 0.00019323471 0.0050864364 0.023364777 0.02045379 8.31117e-06 3.324468e-05 1.4544548e-05 6.648936e-05 2.9089097e-05 3.7400267e-05 0.0006025598 0.0704247 0.055701464 0.055979885 0.05521526 0.0006046376 0.00011427859 6.233378e-05 0.0051737037 0.0051757814 0.00014544548 0.00012882314 6.441157e-05 0.00014336768 0.00027426862 0.00012258976 0.001732879 0.014170545 0.002162982 0.0021588264 0.003075133 0.0008955286 0.0003324468 0.0021775267 0.0020362367 0.0010638298 0.00011427859 0.00015791223 0.000112200796 0.00015167886 0.00013090092 0.00012674535 0.0009204621 0.006800615 0.0004197141 0.0015728889 0.00049451465 0.0012092752 0.0006441157 0.0058552194 0.0033223904 0.00023686835 0.00013090092 0.00012466755 0.00011427859 0.00011012301 8.5189495e-05 7.8956116e-05 7.687832e-05 0.0027967088 8.5189495e-05 0.0007293052 0.00038439163 0.0004737367 0.00026803525 0.0022481715 0.0010825299 4.155585e-05 5.1944815e-05 4.3633645e-05 4.3633645e-05 3.5322475e-05 3.9478058e-05 4.5711437e-05 0.0001412899 0.0063622007 0.00054645946 0.0008394282 0.005377327 0.0016248338 0.00076462765 0.0013609541 0.003696393 0.0032933012 0.00049451465 0.0004197141 0.00062333775 0.000891373 0.0022814162 0.00054022606 0.000671127 0.0049638464 0.00059840427 0.00025556848 0.00029504654 0.0023873837 0.0014357547 0.0008352726 0.001331865 0.0031146111 0.0001953125 0.00015167886 0.00020362367 0.0022481715 0.0006046376 0.0012674534 0.0013879654 0.029309342 0.005408494 0.003455369 0.004781001 0.013169049 0.010432596 0.0042490857 0.0058635306 0.02096285 0.0012612201 0.0023395943 0.00186378 0.01164395 0.002314661 0.009084109 0.01854222 0.01765916 0.003966506 0.0027406083 0.0043384307 0.006663481 0.007141373 0.0028652758 0.0063975235 0.012265209 0.0012840758 0.0016061337 0.0016019781 0.0063642785 0.0020050697 0.005867686 0.015105552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1557.0 8.776493 13665.0 0.037541162 0.012367362 0.012001463 0.012660081 0.012221003 0.011928284 0.012294183 0.016904501 0.01719722 0.012294183 0.012147823 0.011489206 0.013099158 0.013391877 0.014270033 0.012294183 0.01931943 0.016465422 0.01719722 0.0148554705 0.013538237 0.014050494 0.015587267 0.013172338 0.014416392 0.014343212 0.014709111 0.015367728 0.015587267 0.016611783 0.015075009 0.014416392 0.0043907794 0.0045371386 0.0010976949 0.009586535 0.002341749 0.0024881084 0.0032199048 0.0038053421 0.0030003658 0.0026344676 0.019612148 0.0008049762 0.0026344676 0.0028540066 0.0013904135 0.0015367728 0.007244786 0.0018294913 0.0032930844 0.00848884 0.0039517013 0.0016831321 0.008049762 0.007683864 0.0019026711 0.0010245151 0.00051225757 0.0013172338 0.0008049762 0.0010245151 0.00095133553 0.0032930844 0.0038053421 0.021807538 0.0036589827 0.015587267 0.011342847 0.03629711 0.0041712406 0.004903037 0.006220271 0.01946579 0.0015367728 0.0018294913 0.017563118 0.0064398097 0.01880717 0.025320161 0.008708379 0.0008781559 0.024734724 0.013684596 0.032272227 0.011050128 0.0040980605 0.0016099524 0.0032930844 0.009879254 0.0035126235 0.0030003658 0.0041712406 0.005268935 0.027222833 0.050054885 6.0880384 0.0 0.0 0.0 3.0 242176.0 270336.0 0.0 1.0 100.0 1.0 1.0 0.0 0.0 0.0 1514257000.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 1.0 5.0 1.0 60416.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -124928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60416.0 -1024.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9735634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.269533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.726786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5684705 -0.18753506 3.490926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6410.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13253.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60185.0 -4116.0 34784.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69.0 78720.0 140.0 76240.0 34784.0 225280.0 0.0 0.0 0.0 0.0 3032.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 72928.0 0.0 0.0 424.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.25090194 0.0030627076 0.0025176494 0.0030107973 0.0039192275 0.0024268064 0.0020958784 0.0022516092 0.0032119497 0.0020245016 0.0023943626 0.0021218334 0.0029134655 0.002043968 0.0018882371 0.0029069767 0.0028810217 0.0019661025 0.0017779277 0.0017844165 0.002348941 0.0021218334 0.0018103716 0.0018233493 0.0021737437 0.0020309906 0.0018038829 0.0019985465 0.0019920578 0.0019596138 0.0019012147 0.0020374793 0.0051975185 0.00920759 0.0020829008 0.001829838 0.0036207433 0.002258098 0.0063914554 0.0074621057 0.002381385 0.0020569456 0.0021932102 0.002290542 0.0021348111 0.0020569456 0.0023359635 0.0019466362 0.0025241382 0.002232143 0.0021802327 0.002926443 0.0020569456 0.002167255 0.0019985465 0.001985569 0.0021932102 0.0021088559 0.0020050353 0.0025241382 0.0023035195 0.0023424523 0.0020309906 0.002102367 0.005340272 0.0020829008 0.002102367 0.0020764119 0.0025241382 0.002809645 0.002258098 0.0019920578 0.0020245016 0.001985569 0.0019271699 0.0022061877 0.002537116 0.0019206811 0.002011524 0.002102367 0.0028810217 0.0020245016 0.002011524 0.0026344478 0.0024527616 0.0029978198 0.0029653758 0.0022126765 0.0023229858 0.002504672 0.0021283221 0.0023684073 0.0019725913 0.0023554298 0.002472228 0.0022840532 0.0023035195 0.0023943626 0.0020634343 0.0024203176 0.002926443 0.0024462729 0.0019336586 0.0019596138 0.0025436047 0.0025890262 0.0023554298 0.0019920578 0.0024268064 0.001829838 0.0024138289 0.0024787167 0.0024332954 0.0018882371 0.0023359635 0.0020309906 0.003542878 0.0030237748 0.001985569 0.0043474874 0.002102367 0.0020634343 0.0018493044 0.0020634343 0.0023554298 0.0020374793 0.0019920578 0.00240734 0.0029848423 0.002868044 0.0018752596 0.0032184385 0.0023878738 0.0027252906 0.0021088559 0.0021088559 0.0024008513 0.0037115864 0.0021153446 0.00647581 0.0020829008 0.0031600394 0.0019206811 0.0018493044 0.002225654 0.0019596138 0.0017260174 0.0020958784 0.002258098 0.0018622819 0.0017779277 0.0018687708 0.0022840532 0.0018882371 0.0019141922 0.0019336586 0.0022126765 0.0019141922 0.0018233493 0.0019596138 0.0022191652 0.0021153446 0.002069923 0.0023554298 0.002225654 0.0019596138 0.0018493044 0.0017779277 0.0019661025 0.0019466362 0.0019012147 0.0019012147 0.0020374793 0.0018817483 0.0019012147 0.002011524 0.0026279588 0.0020309906 0.001985569 0.0020764119 0.0019725913 0.0019077035 0.0020504568 0.0018103716 0.0023943626 0.0019596138 0.0021088559 0.001985569 0.0021348111 0.002011524 0.002102367 0.0020050353 0.003997093 0.0035558555 0.0031016404 0.010557257 0.0033741693 0.0027577346 0.0030951516 0.0027382683 0.0023359635 0.0022710755 0.0022126765 0.0022840532 0.0022970308 0.0021477886 0.00240734 0.0020764119 0.0021737437 0.002069923 0.0022840532 0.0022970308 0.0023359635 0.0023035195 0.0023035195 0.0019985465 0.0025695597 0.0020829008 0.0023619186 0.0024981832 0.002374896 0.0021088559 0.0023943626 0.0025695597 0.0024397841 0.0021867214 0.0023943626 0.0019206811 0.0021802327 0.0022710755 0.002374896 0.0021283221 0.0043474874 0.002777201 0.0021088559 0.003354703 0.0023359635 0.0023359635 0.0023684073 0.002290542 0.0025695597 0.0024527616 0.0023035195 0.0022645867 0.0023294748 0.0023424523 0.0025436047 0.0026344478 0.0032573713 0.002381385 0.002199699 0.0024203176 0.03424782 0.066062346 0.00674185 0.029257942 0.12751678 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006449245 9.831166e-06 1.6385276e-05 1.6385276e-05 1.9662331e-05 1.9662331e-05 7.537227e-05 5.8986996e-05 1.31082215e-05 6.5541108e-06 0.0 3.2770554e-06 9.831166e-06 0.0 3.2770554e-06 9.831166e-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 0.0016778524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005033557 0.013858668 3.2770553e-05 3.6047608e-05 0.00012125105 0.00033098258 0.00010814283 0.0007209522 0.00029821205 6.881816e-05 4.915583e-05 2.6216443e-05 3.2770553e-05 7.537227e-05 6.226405e-05 8.84805e-05 0.010935534 0.010922425 2.9493498e-05 0.00041290896 0.00023922505 0.00020317743 0.00011469694 0.00013763632 7.2095216e-05 0.00013108221 0.00013763632 7.537227e-05 0.0001245281 0.00048828125 0.0002425021 0.0003244285 0.026612967 0.016562238 9.175755e-05 0.0015729866 0.0001835151 0.00019334626 0.00016385278 0.0002785497 0.001533662 0.00042274015 0.00010814283 0.00012125105 0.0001540216 0.001130584 0.00025561033 0.0003244285 0.01717177 0.011492633 2.2939388e-05 0.0014451814 0.0001835151 0.00045223365 0.00022939387 0.0013272074 0.0019891725 0.0003080432 7.8649326e-05 6.226405e-05 7.537227e-05 0.00094379194 0.00041290896 0.00028838086 0.014245359 0.006144479 0.0001474675 0.00050794357 0.0002785497 0.0002490562 0.00018023804 0.00017040689 0.00019662332 0.00016385278 0.00022283976 0.00021956272 0.00016385278 0.0004194631 0.0002785497 0.00028182677 0.0037981072 0.011744967 0.0 0.0057840026 0.000530883 0.0003670302 0.00028182677 0.0002490562 0.0003145973 0.00035064493 0.00030148908 0.00030476614 0.00047517303 0.003942298 0.000888082 0.001186294 0.020258756 0.018456375 0.0 0.011587668 0.0007930474 0.000711121 0.0005407141 0.00059970113 0.00062264054 0.00096673134 0.00076027686 0.0006554111 0.0008585885 0.0071833055 0.0019957267 0.0021104238 0.025983771 0.0051220376 0.00014091338 0.0013304845 0.00022939387 0.0003604761 0.0003670302 0.0003375367 0.00030476614 0.000711121 0.00013108221 0.00011469694 0.00019990037 0.00092085253 0.00030148908 0.0003244285 0.0025266097 0.0028608693 6.5541106e-05 0.00011141988 0.00031787436 0.0004325713 0.00033425965 0.000711121 0.0002654415 0.0002654415 2.6216443e-05 6.226405e-05 9.175755e-05 0.0001835151 0.0001245281 0.00028838086 0.00057020766 0.0058167735 0.0006455799 0.000530883 0.00073078333 0.0010519348 0.0013468697 0.0003604761 0.00075372274 0.002660969 0.00017368393 0.00042601718 0.00044240247 0.0015664324 0.00058987 0.001002779 0.0020350514 0.013586672 0.0024446833 0.0031230338 0.003080432 0.004676358 0.0058364356 0.0023791422 0.0033983064 0.009529677 0.00079632446 0.0010945365 0.0016188653 0.0056594745 0.0026970166 0.00449612 0.009408426 0.030896079 0.029054374 0.029486945 0.029296875 0.029155962 0.02941485 0.029998165 0.028965892 0.02882498 0.029214948 0.029267382 0.029241165 0.0291789 0.029244442 0.02948039 0.029077312 445.0 6.919101 3079.0 0.009743423 0.004546931 0.0055212732 0.002598246 0.0077947387 0.004546931 0.0074699577 0.005196492 0.006820396 0.0048717116 0.00422215 0.0077947387 0.0048717116 0.005846054 0.010717765 0.005846054 0.009418642 0.005196492 0.009093862 0.010717765 0.007145177 0.006820396 0.006170835 0.0074699577 0.0074699577 0.006820396 0.0077947387 0.0074699577 0.009418642 0.0077947387 0.006170835 0.007145177 0.0064956155 0.012016889 0.006820396 0.0077947387 0.010068204 0.010392984 0.009418642 0.008769081 0.005846054 0.008119519 0.0077947387 0.007145177 0.013640792 0.008119519 0.0064956155 0.009743423 0.009418642 0.005846054 0.009093862 0.012991231 0.01266645 0.012016889 0.009093862 0.009418642 0.0077947387 0.011692108 0.009093862 0.010392984 0.008119519 0.013640792 0.010392984 0.008119519 0.006820396 0.022085093 0.006170835 0.014939915 0.015914258 0.032478075 0.008119519 0.010392984 0.008769081 0.018512504 0.007145177 0.005196492 0.019486846 0.008119519 0.0155894775 0.019811627 0.01266645 0.0048717116 0.022085093 0.010717765 0.023708997 0.01234167 0.006170835 0.104254626 0.009093862 0.007145177 0.0035725886 0.0055212732 0.007145177 0.004546931 0.0048717116 0.022734653 6.220625 0.0 0.0 0.0 1.0 154112.0 180224.0 0.0 0.0 5.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 8.0 2.0 0.0 2.0 6.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 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 -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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 137728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0134892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.412495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5193143 0.0 0.0 0.0 0.0 0.0 0.0 -4.379055 6.3756824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 1661.0 0.0 0.0 0.0 0.0 0.0 -164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12248.0 0.0 0.0 0.0 0.0 0.0 0.0 -994.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 994.0 24576.0 39056.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056905422 0.0083185695 0.006178885 0.0056590396 0.00575885 0.004966605 0.004199313 0.0054230294 0.0050487407 0.0056288885 0.0037501664 0.0044633946 0.004957248 0.0031783362 0.0043261554 0.004638063 0.0050466615 0.0037605632 0.0049374937 0.004152527 0.0043583857 0.0031772964 0.004104701 0.0038375005 0.0050820108 0.0033415677 0.0031627407 0.0029215324 0.0041452493 0.0034403384 0.0037907143 0.0037927937 0.0061768056 0.0038167066 0.0034840053 0.0030161443 0.004900065 0.004172281 0.0038468577 0.003721055 0.0047326745 0.0038946834 0.0033322105 0.003091002 0.0043729413 0.0037179359 0.0037293725 0.003579657 0.0055207605 0.003947708 0.0030993195 0.0028903417 0.0036763484 0.003077486 0.0026876018 0.0028529128 0.0041670827 0.0033186944 0.0035203947 0.0033426073 0.004016327 0.003222003 0.0035016802 0.003454894 0.0066072377 0.003948747 0.003617086 0.003223043 0.0041566854 0.0032199237 0.0035411883 0.0030670892 0.0050102724 0.0037771983 0.0037096185 0.003579657 0.004129654 0.0031242722 0.0035484661 0.003454894 0.005175583 0.0036285224 0.0036430783 0.0033342899 0.0039279535 0.0033769172 0.003364441 0.0035443075 0.004650539 0.0036430783 0.0038125478 0.0035079182 0.0041098995 0.0033821156 0.0036898642 0.0037938333 0.005912724 0.0036306018 0.0033415677 0.0029475247 0.004010089 0.0030556526 0.0032656703 0.0030296603 0.004977002 0.0031637806 0.0031939314 0.0030494144 0.0035734188 0.0028279603 0.0030837243 0.0031908124 0.0045039426 0.0032906227 0.003218884 0.0031367484 0.003892604 0.0033311709 0.0032885436 0.0036222844 0.0046287053 0.0032947815 0.003475688 0.0031596217 0.00404128 0.0031980902 0.0034642513 0.0033426073 0.008673104 0.004595435 0.004021526 0.0035245533 0.004370862 0.0034330606 0.0030213427 0.0033893934 0.0045424113 0.003832302 0.0029579217 0.003188733 0.003728333 0.002791571 0.0028435555 0.0029807948 0.0052306866 0.003206408 0.0034892038 0.0030192635 0.0036628323 0.0031731378 0.0033010198 0.0032708687 0.0045455303 0.0028362777 0.003041097 0.002696959 0.0035141564 0.0032272018 0.0029880726 0.003148185 0.0050133914 0.0034122667 0.0032708687 0.002791571 0.0037751189 0.0030130253 0.0030494144 0.0031835346 0.004139011 0.0029995092 0.0031159546 0.003017184 0.0036472369 0.002829 0.0029173736 0.0030358986 0.0046723727 0.0031097166 0.0038395799 0.0028466748 0.003563022 0.003152344 0.0029828742 0.0031159546 0.0042585754 0.0031429867 0.00333325 0.003172098 0.0036555545 0.003185614 0.0033238928 0.003347806 0.0067299213 0.004058955 0.003727293 0.0033374089 0.0041202963 0.0032500748 0.0033020594 0.003223043 0.0043271948 0.003327012 0.0031086768 0.003077486 0.0036409989 0.002983914 0.0030754067 0.0027957298 0.0042554564 0.003272948 0.0030837243 0.0029995092 0.003707539 0.003006787 0.00292985 0.0029412867 0.003979938 0.0031065976 0.0027281498 0.0026387365 0.0035307915 0.002946485 0.003582776 0.0028778655 0.0049510095 0.003236559 0.0033945919 0.0029714375 0.0038031905 0.003071248 0.0031960108 0.0029048973 0.0044436404 0.0054521407 0.0034652909 0.0031357089 0.0037834365 0.0030681288 0.0032417574 0.0031960108 0.0046151895 0.0033155754 0.0034205841 0.003044216 0.0037397693 0.0030806053 0.0033124564 0.0032386382 0.0043521477 0.0030327793 0.0031845744 0.0028643494 0.004016327 0.0030930815 0.004232583 0.004533054 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.004600151 0.00029359342 0.00027225065 0.00026860673 0.00030400453 0.00024153784 0.0003289912 0.00030348398 0.0003347173 0.00034981343 0.000331594 0.0003560601 0.0005205557 0.00015772838 0.00018896173 0.000742833 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09933036 0.06200547 0.06247085 0.05529759 0.060601015 0.05956719 0.05492279 0.054451168 0.06047452 0.05311594 0.05209305 0.05289887 0.05639284 0.05049859 0.056604188 0.053838473 4010.0 5.7049875 22877.0 0.017135113 0.010447174 0.009354373 0.008611269 0.013463303 0.012501639 0.011802247 0.011496263 0.0125890635 0.009704069 0.008480133 0.008611269 0.013900424 0.0105345985 0.011845958 0.00992263 0.016741706 0.011933383 0.008698693 0.0075184684 0.009835206 0.008480133 0.007824453 0.008348997 0.010272326 0.008436421 0.009660358 0.008829829 0.011496263 0.008960965 0.009616646 0.009179525 0.018053066 0.010884294 0.01035975 0.009135813 0.010840583 0.008829829 0.010709446 0.008305285 0.01425012 0.011627398 0.009791493 0.008960965 0.011496263 0.009354373 0.011671111 0.009572933 0.014818377 0.009616646 0.009966342 0.009004678 0.012108231 0.009354373 0.009572933 0.009835206 0.013725576 0.009223238 0.01057831 0.009529222 0.011146567 0.009835206 0.010447174 0.010709446 0.018009355 0.01101543 0.009704069 0.008174148 0.013113608 0.008261573 0.009398085 0.008348997 0.015474057 0.009354373 0.008917253 0.008698693 0.011365127 0.007999301 0.00992263 0.007955588 0.013201032 0.007999301 0.008742405 0.008742405 0.011408838 0.009398085 0.008130437 0.007868164 0.010884294 0.008873541 0.011977095 0.008480133 0.011321414 0.008960965 0.010010053 0.008742405 6.5543623 0.0 0.0 0.0 14.0 961824.0 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: 0.33889985 0.018515505 0.009753569 0.008773992 0.021255305 0.0040649916 0.004449287 0.0048491554 0.040822722 0.0011031539 0.004860207 0.0072056646 0.0077587487 0.0065290034 0.0015180926 0.0059990273 0.0060105813 0.0011604215 0.0027242275 0.0041830433 0.004947113 0.0009298442 0.0009815859 0.00054705585 0.003098476 0.003295396 0.0021997774 0.0059025767 0.0055283285 0.0006696285 0.0023836363 0.00041142217 0.009598846 0.0016803506 0.00078818237 0.0030914433 0.004787869 0.0031572506 0.00053449714 0.002138491 0.00403686 0.0018139749 0.0015080456 0.0023575143 0.004347311 0.0005495676 0.0013593509 0.002914617 0.00414386 0.0020319936 0.0023228524 0.002233937 0.0040358556 0.0014658484 0.0017079797 0.00042297615 0.0030849127 0.0004973235 0.0022907022 0.00026473685 0.0055529433 0.0020540967 0.0012237172 0.0006289384 0.008174692 0.003671654 0.00232235 0.0067389845 0.005409272 0.0031994479 0.002737791 0.0021837023 0.0037379637 0.0026614342 0.0012317548 0.000986107 0.0036575883 0.0025388615 0.0032481754 0.0018853082 0.0043543433 0.00086805556 0.002680021 0.0021590872 0.006302947 0.000896187 0.0018230171 0.0009102527 0.0065144356 0.0017873505 0.0007379477 0.0016883882 0.00416948 0.0016276041 0.0014206372 0.0016597543 0.0037449966 0.004085588 0.0010333277 0.0019340358 0.0048782914 0.004851667 0.0019948198 0.0010132338 0.0058819805 0.0027850117 0.0012553651 0.0045929584 0.0118388105 0.0018822941 0.0031818657 0.003516931 0.008432396 0.0005927694 0.0028960302 0.0019802516 0.008653428 0.0016170549 0.0023062748 0.0003114551 0.008333936 0.0003476241 0.0030743633 0.0001818496 0.001107675 0.00016024869 0.00040941278 0.0007982293 0.0024690353 0.00027880256 0.00020947869 0.00023911716 0.0013367452 0.00015773694 0.00024966645 0.00015974634 0.0010132338 0.0017019515 0.0013844683 0.00029990115 0.0010579427 0.00064551586 0.0022379558 0.000466178 0.0008992011 0.00092582544 0.0009680226 0.002798575 0.0025197724 0.00028533308 0.00025067115 0.00084896636 0.0038228603 0.000674652 0.00015673225 0.00012960551 0.0019943174 0.00015572755 0.00019692001 0.00017280735 0.0011875483 0.00026021572 0.0005882483 0.00018737542 0.0017652472 0.00011503745 0.000244643 0.00024162889 0.00068721065 0.00043051134 0.0007545251 0.00019340358 0.00079772697 0.00019491062 0.00021299512 0.00015422051 0.0013005763 0.00020495756 0.00015371817 0.00014819235 0.0012925387 8.439429e-05 0.0003712344 0.0004480935 0.0019295147 0.00086554384 0.0017848387 0.00023911716 0.0017225477 0.00022103266 0.00028081195 0.00024213124 0.0018963598 0.00051641266 0.00018034255 0.0014814212 0.0013121302 0.00034109358 0.0008665485 0.0005319854 0.0009087457 0.00011754919 0.00011353041 0.00038781186 0.0011147079 0.00014919705 0.00017230501 0.00018687308 0.0012412993 0.00025268053 0.00035264756 0.00027629084 0.0011448488 0.00018988716 0.00015321582 0.0002737791 0.00084193354 0.000113028065 0.00028382603 0.00021801858 0.0009459193 0.0001486947 0.00010197643 0.0002064646 0.0012041257 0.00077361433 0.000110013985 0.00014618297 0.0014934775 0.000102981125 0.0002632298 0.0012679237 0.0016160501 0.0005199291 0.00015170878 0.0011101868 0.00091427146 0.000233089 0.00036570858 0.0011282713 0.0010629662 9.94647e-05 0.0002727744 0.001401548 0.012322571 0.0072518806 0.0005244502 0.00037274146 0.0015683272 0.00020244582 0.00037475085 0.0028267063 0.004380968 0.0052590705 0.009538062 0.07048983 0.0041173445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023471678 1.558077e-05 1.2565138e-05 8.795596e-06 2.0355523e-05 1.6837284e-05 2.9905028e-05 1.4826863e-05 1.7591192e-05 3.266936e-06 4.2721467e-06 4.0208442e-06 4.2721467e-06 2.2617248e-06 4.5234497e-06 6.709783e-05 0.00044656498 2.7643302e-06 2.5130275e-06 1.5078165e-06 7.790385e-06 2.4376368e-05 1.4072954e-05 3.7695413e-06 1.5078165e-06 2.2617248e-06 7.5390824e-07 2.5130277e-07 2.2617248e-06 2.5130277e-07 7.5390824e-07 3.266936e-06 0.010620305 0.00051667844 0.00014098085 5.0511855e-05 0.0005116524 5.377879e-05 5.6040513e-05 7.6396034e-05 8.19247e-05 6.609262e-05 0.00013092873 0.00014575559 3.1664145e-05 6.709783e-05 6.684653e-05 0.00025004623 0.0073149204 0.00044179024 0.00018772316 5.302488e-05 0.00033021183 7.840646e-05 0.00012540007 7.363171e-05 4.7998827e-05 8.19247e-05 6.634393e-05 7.740125e-05 2.8145909e-05 2.8145909e-05 3.5936293e-05 0.00029301902 0.01845693 0.0011667986 0.00059483363 0.00023094723 0.0009325845 0.00022139773 0.0005443218 0.00032795008 0.00016636243 0.0002636166 0.00015631031 0.00013067744 9.951589e-05 0.00010705497 9.700286e-05 0.001207761 0.01737457 0.0011431762 0.0007403379 0.00039881747 0.0008292991 0.0005852841 0.0008014045 0.0010062163 0.0002922651 0.00026286268 0.00010705497 0.0001922466 0.00020807868 0.0001191175 0.00013042612 0.001542245 0.08784137 0.0026517466 0.009651031 0.0036071998 0.0127747245 0.009422597 0.015359876 0.008662406 0.0010054624 0.0010713036 0.0005144167 0.00060187007 0.00067776354 0.0003297092 0.00042118342 0.004954434 0.06505625 0.0044822358 0.004749873 0.0033031234 0.006196623 0.005006202 0.0071038264 0.0060287532 0.0016731737 0.0019023619 0.000802661 0.0006453455 0.0007267676 0.00058628933 0.0009305741 0.010723591 0.11487552 0.012127619 0.01016771 0.008671704 0.009381886 0.008574199 0.0137000205 0.010752491 0.003952741 0.0048971367 0.0016510591 0.0018337562 0.0022265424 0.0013756313 0.0027379435 0.037026696 0.13377675 0.018416973 0.01563656 0.014380046 0.0133652855 0.012680486 0.017636428 0.012509599 0.005247955 0.006630372 0.0026220928 0.0037898968 0.0040743714 0.0022840907 0.0043930234 0.05319426 0.017161967 0.0028042875 0.0020342958 0.0025509743 0.005686981 0.0017038326 0.0023421417 0.001243446 0.0009461549 0.000986866 0.00095595565 0.002215485 0.0016432687 0.0010539638 0.0016178872 0.007033964 0.006749992 0.0012190697 0.00076396036 0.0007227467 0.0043704063 0.001249226 0.0007782846 0.0005199454 0.00047973695 0.0006400681 0.0010067188 0.0016565877 0.0005588973 0.0007938654 0.0009692747 0.0017106178 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3058.0 12.241334 37434.0 0.018619437 0.0001602821 5.3427364e-05 0.0004274189 0.00013356842 2.6713682e-05 0.0024309452 0.003713202 0.0033392103 0.0007479831 0.0 0.0006411284 0.00013356842 5.3427364e-05 0.0037399156 0.00026713684 0.012341721 0.014772667 0.010471764 0.004140621 0.0036063471 0.002778223 0.0020035263 0.0023240903 0.0047550355 0.0053427364 0.00101512 2.6713682e-05 2.6713682e-05 2.6713682e-05 2.6713682e-05 0.00013356842 0.00024042315 0.019020142 0.0059304377 0.013623978 0.020943528 0.016802907 0.005316023 0.015841214 0.0021370947 0.008548379 0.00026713684 0.0012555431 0.0067852754 0.008494951 0.0063578566 0.0073729763 0.008628519 0.0008548378 0.018806433 0.036116898 0.016135065 0.004781749 0.037399154 0.004033766 0.012021157 0.0006144147 0.002110381 0.0004808463 0.0014692525 0.00013356842 5.3427364e-05 0.034514077 0.00010685473 0.04952717 0.01065876 0.019687984 0.029652188 0.0806219 0.0071058394 0.020703103 0.003018646 0.03430037 0.0005342737 0.0014959662 0.041192498 0.021985361 0.03584976 0.029331625 0.009643639 0.00037399156 0.033899665 0.03598333 0.06718491 0.015200086 0.014211679 0.0031789283 0.01450553 0.0034193513 0.00088155153 0.0 2.6713682e-05 5.3427364e-05 0.00010685473 0.00018699578 5.4248743 9.0 0.0 0.0 1.0 1990656.0 2093056.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1543349200.0 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 1982464.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1982464.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.404263 0.0 3.0233552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -101988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1979676.0 0.0 2272.0 0.0 0.0 0.0 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 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 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 -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 -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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1983156.0 2272.0 2088960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 416.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056602348 0.008290812 0.0061676945 0.0056640613 0.0057478277 0.004963939 0.004205904 0.005425172 0.005043569 0.0056289 0.003747774 0.004470648 0.0049473927 0.0031696819 0.0043134564 0.004636112 0.005033227 0.0037705253 0.004924641 0.0041614356 0.0043517197 0.003170716 0.004108694 0.0038449843 0.005064252 0.0033527273 0.0031583062 0.002934929 0.0041479915 0.0034437326 0.0037912084 0.0037932768 0.00616666 0.0038170624 0.0034882014 0.0030342077 0.0048998217 0.0041604014 0.0038470528 0.0037198518 0.004720913 0.003895658 0.0033361807 0.0031014278 0.0043641296 0.0037229543 0.0037250225 0.0035781728 0.0055048014 0.0039442633 0.003103496 0.0029070068 0.003674349 0.0030724714 0.0026877662 0.0028656407 0.004170743 0.0033144634 0.003526465 0.0033568637 0.004004244 0.003224492 0.003499577 0.0034509718 0.006591697 0.0039411606 0.003621607 0.003224492 0.004156265 0.0032213896 0.0035440456 0.0030600615 0.0049970318 0.0037767303 0.0037064077 0.0035905826 0.0041262745 0.0031283158 0.0035647287 0.0034633817 0.0051655993 0.0036247096 0.0036578025 0.0033434199 0.0039318535 0.0033734103 0.0033672054 0.0035347382 0.0046443855 0.003640222 0.003807755 0.0035150894 0.0041200696 0.0033951274 0.0036877932 0.003788106 0.005905019 0.0036319487 0.0033351465 0.0029566463 0.0040073465 0.0030548908 0.0032627557 0.0030404127 0.004977383 0.0031665794 0.003197604 0.0030466176 0.0035719678 0.0028387527 0.0030786763 0.0031965699 0.004502706 0.0032937804 0.0032327652 0.0031469306 0.0038987605 0.00333101 0.003290678 0.0036236756 0.0046206 0.003290678 0.0034768255 0.0031696819 0.0040404396 0.003197604 0.0034675184 0.003345488 0.008636219 0.0045968145 0.0040083807 0.0035223283 0.0043641296 0.0034354595 0.003029037 0.0033920251 0.00454097 0.003849121 0.0029669877 0.0031924334 0.0037353642 0.0028025573 0.00284806 0.0029793975 0.005232819 0.003203809 0.0035016453 0.003022832 0.0036578025 0.003183126 0.0033010195 0.0032730973 0.004539936 0.0028439234 0.0030455834 0.0027032786 0.0035212943 0.0032275945 0.002988705 0.0031552038 0.00501151 0.0034158106 0.003278268 0.002801523 0.0037767303 0.0030104222 0.003055925 0.0031800235 0.0041324794 0.0030042173 0.0031221109 0.003015593 0.0036464268 0.0028377185 0.0029214849 0.003029037 0.004667137 0.0031210766 0.0038511893 0.0028584015 0.003565763 0.003151067 0.0029928416 0.0031221109 0.0042555435 0.0031489988 0.0033403174 0.0031851942 0.0036443586 0.0031934674 0.0033361807 0.0033558297 0.0067106253 0.0040662936 0.003713647 0.003338249 0.004121104 0.0032617217 0.003305156 0.0032234578 0.004331037 0.003338249 0.003115906 0.0030838472 0.0036515978 0.0029856025 0.0030859155 0.0027973864 0.0042431336 0.0032793023 0.0030941886 0.0030052515 0.0037115787 0.0030249003 0.0029369972 0.0029473389 0.0039804587 0.0031107352 0.0027229274 0.002645366 0.00353267 0.0029473389 0.003580241 0.0028894262 0.0049535977 0.0032317312 0.0034044348 0.002975261 0.0038056867 0.003069369 0.003203809 0.0029163142 0.0044437596 0.005447923 0.00346545 0.0031345207 0.0037943108 0.0030921204 0.0032606875 0.0031986383 0.004616463 0.0033227366 0.003418913 0.003036276 0.0037363982 0.0030859155 0.003304122 0.0032358677 0.0043413783 0.0030280028 0.003189331 0.0028697771 0.004010449 0.0030921204 0.004222451 0.004508911 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09913352 0.062014308 0.06245754 0.05532853 0.060585193 0.059586365 0.054946396 0.05449229 0.060492508 0.05317657 0.05213684 0.05299845 0.056438167 0.05056947 0.0566981 0.053802587 4026.0 5.703676 22963.0 0.017245134 0.010451596 0.009406436 0.0087096635 0.013412882 0.012454819 0.011845143 0.011453208 0.012541915 0.009754823 0.008491922 0.0085790185 0.013891913 0.010582241 0.011845143 0.010016113 0.016722554 0.01188869 0.0087096635 0.007533859 0.009798371 0.008491922 0.0077951485 0.008361277 0.010320951 0.008491922 0.009624178 0.0088403085 0.011540304 0.0089709535 0.009667726 0.009188695 0.017985456 0.010887079 0.0103645 0.009145146 0.010887079 0.00879676 0.010625789 0.00827418 0.014196752 0.011583853 0.009711275 0.008927405 0.011453208 0.00931934 0.011714498 0.009537081 0.014806428 0.00958063 0.010059661 0.009145146 0.012062884 0.0093628885 0.00958063 0.009754823 0.013674172 0.0092322435 0.010538693 0.009537081 0.011148369 0.00984192 0.010408048 0.010669338 0.017941907 0.011017724 0.009667726 0.0081870835 0.013108043 0.00827418 0.0093628885 0.008361277 0.015416104 0.009275791 0.008883856 0.0087096635 0.01136611 0.00801289 0.009885468 0.0079257935 0.013238688 0.007969342 0.008666115 0.00879676 0.011540304 0.0094935335 0.008230632 0.0079257935 0.010887079 0.008883856 0.012019335 0.00853547 0.011322563 0.0089709535 0.009929016 0.008753211 6.554613 0.0 0.0 0.0 14.0 966974.0 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: 0.63883466 0.0072428384 0.0018310547 0.0013834635 0.0013427734 0.00056966144 0.0009765625 0.002319336 0.0012613932 0.00032552084 0.0011800131 0.00040690103 0.0006510417 0.00081380206 0.00056966144 0.00069173175 0.001546224 0.00048828125 0.00032552084 0.00032552084 0.00081380206 0.00040690103 0.00032552084 0.00048828125 0.00056966144 0.00040690103 0.00040690103 0.00061035156 0.00048828125 0.00032552084 0.0011393229 0.0007324219 0.0061035156 0.00048828125 0.0016682943 0.0011393229 0.00048828125 0.0008544922 0.0009765625 0.0012207031 0.0016276041 0.0012207031 0.0007324219 0.00048828125 0.0010172526 0.0021565754 0.0028076172 0.0013020834 0.0021158855 0.0010986328 0.00044759116 0.00069173175 0.0009358724 0.00061035156 0.00056966144 0.0018310547 0.00048828125 0.00040690103 0.0009358724 0.0010579427 0.0013020834 0.0014648438 0.0012207031 0.0008951823 0.001546224 0.001546224 0.0008544922 0.0018310547 0.0011393229 0.0008544922 0.0015055338 0.0012207031 0.0013834635 0.001546224 0.00069173175 0.0010986328 0.0020751953 0.0012207031 0.001546224 0.0010579427 0.0015869141 0.000773112 0.0025634766 0.0021565754 0.0017089844 0.0007324219 0.0009358724 0.00069173175 0.0013020834 0.0005289714 0.00044759116 0.00081380206 0.0011393229 0.0007324219 0.00016276042 0.0011393229 0.0013020834 0.0037027996 0.002319336 0.002726237 0.0014241537 0.0075276694 0.0016682943 0.0022379558 0.0018717448 0.0054117837 0.00024414062 0.000773112 0.0040690103 0.0028889973 0.00390625 0.0037027996 0.0018310547 0.0005289714 0.0044759116 0.0053710938 0.0057779946 0.0025634766 0.0012613932 0.0016276041 0.0020345051 0.001953125 0.0010172526 0.00044759116 0.0012207031 0.0011393229 0.0006510417 0.00081380206 0.0052490234 0.0006510417 0.00056966144 0.0013834635 0.00081380206 0.00061035156 0.0010986328 0.0017089844 0.0037841797 0.00044759116 0.00081380206 0.0011393229 0.0018310547 0.00048828125 0.0010579427 0.0015869141 0.00048828125 0.0012613932 0.0010579427 0.0012207031 0.000773112 0.0007324219 0.00069173175 0.00040690103 0.0009765625 0.00061035156 0.00044759116 0.0014241537 0.000773112 0.00069173175 0.0009358724 0.00036621094 0.00061035156 0.0012613932 0.0012613932 0.0008951823 0.00056966144 0.00056966144 0.00044759116 0.0013834635 0.0010579427 0.0006510417 0.0010172526 0.0015055338 0.0009765625 0.0007324219 0.0008544922 0.0012613932 0.0010579427 0.0008951823 0.00081380206 0.0007324219 0.0008951823 0.0016276041 0.0013020834 0.0009765625 0.0010579427 0.0009358724 0.00061035156 0.0009765625 0.0006510417 0.0012207031 0.00069173175 0.0009765625 0.0037841797 0.0009765625 0.0007324219 0.0011800131 0.0015869141 0.0015869141 0.0016682943 0.0014648438 0.0014648438 0.001546224 0.0010986328 0.0015055338 0.0020345051 0.0008951823 0.0013834635 0.0009765625 0.0010986328 0.0014241537 0.0015055338 0.0013427734 0.0013020834 0.0012613932 0.0011393229 0.0015869141 0.0009358724 0.0012207031 0.00069173175 0.0012613932 0.0012207031 0.0007324219 0.0010172526 0.0012613932 0.0013020834 0.0011800131 0.00069173175 0.0008544922 0.0010172526 0.0014648438 0.000773112 0.0012207031 0.0009358724 0.0012207031 0.0010986328 0.0008544922 0.0010172526 0.00061035156 0.0013020834 0.0010172526 0.0008951823 0.0010172526 0.00032552084 0.00056966144 0.0007324219 0.00081380206 0.0007324219 0.00061035156 0.0016682943 0.00056966144 0.00048828125 0.000773112 0.00061035156 0.00048828125 0.00040690103 0.03609212 0.25993547 0.0 0.00016983696 4.245924e-05 0.00012737772 4.245924e-05 0.00038213315 0.00014860733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.122962e-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 0.04080333 0.00025475543 0.0005307405 2.122962e-05 0.00044582202 0.00016983696 0.0005944293 0.00029721466 8.491848e-05 2.122962e-05 2.122962e-05 0.000106148094 6.368886e-05 0.0 2.122962e-05 4.245924e-05 0.038192086 0.00016983696 0.00023352582 0.00033967392 0.0006581182 0.00042459238 0.0017620585 0.0007854959 0.0003184443 6.368886e-05 0.000106148094 8.491848e-05 4.245924e-05 8.491848e-05 0.00012737772 8.491848e-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 0.03288468 0.0007430367 0.00084918475 0.00044582202 0.0009341033 0.0005944293 0.0038001018 0.002568784 8.491848e-05 0.000106148094 0.000106148094 8.491848e-05 8.491848e-05 4.245924e-05 6.368886e-05 8.491848e-05 0.03071926 0.00021229619 0.0021866509 0.0014436141 0.00027598505 0.00044582202 0.0041185464 0.0025263247 0.00021229619 0.000106148094 4.245924e-05 4.245924e-05 0.00048828125 0.000106148094 8.491848e-05 0.00046705164 0.027725883 0.00036090353 0.0011463994 0.00042459238 0.0012737772 0.0013374661 0.006857167 0.004076087 6.368886e-05 2.122962e-05 2.122962e-05 4.245924e-05 0.0 2.122962e-05 2.122962e-05 8.491848e-05 0.026706861 0.00021229619 0.00072180707 0.00072180707 0.001231318 0.0007430367 0.0046068276 0.0031207541 0.0033330503 6.368886e-05 0.000106148094 8.491848e-05 0.0005944293 8.491848e-05 0.00025475543 0.00089164404 0.045282777 0.0016983695 0.0034391985 0.001613451 0.002844769 0.002844769 0.011421535 0.0074940557 0.001613451 0.0009977921 0.0011039402 0.0012100883 0.0010827106 0.0008704144 0.0010402513 0.002398947 0.025390625 0.00067934784 0.002122962 0.0015709918 0.0016559103 0.0017408289 0.0011251698 0.0005519701 0.0009553329 0.00072180707 0.00027598505 0.0006581182 0.0013799253 0.0014223845 0.0012950068 0.0019318954 0.039317254 0.0012950068 0.0029721467 0.002632473 0.0033755095 0.0024201765 0.0040548574 0.0038001018 0.0063264268 0.0022503396 0.0014011549 0.0013162364 0.0033542798 0.0022078804 0.0018682065 0.00836447 0.017620584 0.00067934784 0.0030358357 0.0014436141 0.0024838655 0.001167629 0.00040336276 0.0006581182 0.0005731997 0.00082795514 0.0014860734 0.0014436141 0.0015497622 0.0016771399 0.001953125 0.006475034 0.059124492 0.0025263247 0.005073879 0.004861583 0.004245924 0.004628057 0.0073242188 0.0069633154 0.009128736 0.006751019 0.008428159 0.0078125 0.0126528535 0.009553329 0.00726053 0.017578125 0.0046068276 0.00072180707 0.002335258 0.0011888586 0.0020380435 0.0014436141 0.00072180707 0.00084918475 0.0014648438 0.0014648438 0.0025900137 0.0030995244 0.0035665762 0.0037576426 0.0032693613 0.010360055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93.0 17.698925 1646.0 0.046780072 0.0012150669 0.014580802 0.0024301338 0.0 0.00060753344 0.0018226003 0.0048602675 0.0036452005 0.0024301338 0.0012150669 0.00060753344 0.004252734 0.011543135 0.01944107 0.013973269 0.008505468 0.0048602675 0.0030376671 0.0012150669 0.0030376671 0.0024301338 0.0012150669 0.0024301338 0.0024301338 0.0012150669 0.005467801 0.0066828676 0.011543135 0.013365735 0.008505468 0.0018226003 0.0012150669 0.012758202 0.0012150669 0.010935602 0.004252734 0.0036452005 0.0018226003 0.0048602675 0.0030376671 0.0066828676 0.0012150669 0.004252734 0.013365735 0.005467801 0.005467801 0.005467801 0.007290401 0.0024301338 0.007897934 0.015795868 0.012150669 0.0018226003 0.0066828676 0.0030376671 0.0 0.0012150669 0.0018226003 0.007290401 0.00060753344 0.0036452005 0.0 0.004252734 0.0036452005 0.032806803 0.021871204 0.026123937 0.010328068 0.074119076 0.0066828676 0.015795868 0.012150669 0.045565005 0.0012150669 0.004252734 0.029769138 0.031591736 0.034629405 0.034021873 0.010935602 0.0018226003 0.04070474 0.05346294 0.059538275 0.027946537 0.009113002 0.005467801 0.007290401 0.017010937 0.0030376671 0.0 0.004252734 0.0036452005 0.0012150669 0.0012150669 5.647923 0.0 0.0 0.0 1.0 24576.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1421329500.0 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 -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 4096.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8169756 0.0 5.4099007 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 -2148.0 0.0 12096.0 0.0 0.0 0.0 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 10252.0 12096.0 16384.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 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