Input: 0.030887386 0.004467492 0.0042396993 0.0038295106 0.0045242375 0.0036657592 0.0038384278 0.0037443924 0.0043272497 0.0035352446 0.0036519782 0.0035474044 0.0041172914 0.0035652388 0.0035676707 0.0041059423 0.003955972 0.0035676707 0.003439588 0.0034712034 0.0039105755 0.0035303808 0.0036276588 0.0035911794 0.0036908893 0.0033552803 0.0034485052 0.0036762978 0.0036673807 0.0035401084 0.003650357 0.0037492563 0.00533813 0.0032750259 0.0035125464 0.0034290494 0.005157355 0.0036276588 0.0033982447 0.0034914694 0.0033990555 0.0035060612 0.0034866056 0.0037995165 0.003569292 0.0036033392 0.0035214636 0.0036365758 0.0038157296 0.0035498363 0.003414458 0.004407504 0.0037354752 0.003557132 0.0037184516 0.003659274 0.0035636174 0.0035887475 0.0038546408 0.0039802915 0.0039956938 0.0037249366 0.0036998065 0.003960025 0.0049668527 0.004654752 0.003909765 0.003935706 0.0039405697 0.0055318754 0.0036033392 0.0035660493 0.0035117357 0.0034412092 0.0035587535 0.0035125464 0.0037062918 0.0037962738 0.0034517476 0.0036438718 0.004416421 0.003539298 0.0035936115 0.0039300313 0.0038627472 0.004261587 0.0038465343 0.0037735756 0.0035701026 0.0038708537 0.0037476348 0.0037071025 0.0034776884 0.003761416 0.0038489662 0.0038927412 0.0033252863 0.00389112 0.003497144 0.0034752565 0.004139179 0.0040800013 0.0037719544 0.0035563216 0.0041861967 0.003955972 0.0040783803 0.0034679607 0.0039567826 0.0036892681 0.0038822028 0.004057303 0.00346715 0.0033528483 0.0039802915 0.0037808716 0.0049336157 0.0041983565 0.0035749665 0.0036608954 0.0038254573 0.0035384872 0.0035376765 0.0035660493 0.0040402794 0.0036957534 0.003775197 0.0038432917 0.0039227353 0.003626848 0.0032709728 0.0044683027 0.0037922207 0.004180522 0.0034014874 0.003587937 0.0036844043 0.005199509 0.0035798303 0.010091782 0.0033877064 0.004568823 0.0034987654 0.0035741557 0.0036560316 0.00344202 0.0032474638 0.0035149783 0.003416079 0.0035238955 0.0034566117 0.003455801 0.0033163691 0.0034428306 0.0034241856 0.00356686 0.0033496057 0.003469582 0.0034590436 0.0036835936 0.0034412092 0.003969753 0.0034079726 0.0034955228 0.0034525583 0.0034801203 0.0033342035 0.0034647181 0.0034095938 0.0034655288 0.0032207125 0.003381221 0.0035895582 0.0034233748 0.003358523 0.003553079 0.0036446825 0.0036219843 0.0034955228 0.0034849844 0.0035725345 0.0034444518 0.0035547002 0.0035482151 0.003812487 0.0035498363 0.003617931 0.0035149783 0.0036309012 0.003557132 0.0036795402 0.0037508775 0.0047763498 0.0034387773 0.0036560316 0.004643403 0.0037135875 0.0034874163 0.0037905993 0.0038473448 0.0036260374 0.00359199 0.0034412092 0.00344202 0.0035109252 0.0035060612 0.0034622862 0.0036471144 0.0039527295 0.0035060612 0.0037443924 0.0035425406 0.0036576528 0.0034387773 0.003488227 0.003687647 0.0040662205 0.0034817418 0.0035579428 0.0036900789 0.0035579428 0.0035052507 0.003550647 0.0038668006 0.003696564 0.0037216942 0.0036033392 0.0035384872 0.0035660493 0.0036195521 0.0034703927 0.0036073925 0.0063263127 0.0038740963 0.0035068719 0.0042307824 0.0039138184 0.0035749665 0.0033301502 0.0037095344 0.004324007 0.0037135875 0.0037930314 0.0036236055 0.004197546 0.0036600847 0.0036746764 0.0036738657 0.004505593 0.0038416702 0.0036900789 0.0036146883 0.0049028113 0.0038108656 0.0049919826 0.01154933 0.0016405926 0.0 8.117727e-07 4.0588634e-07 4.4647495e-06 3.2470907e-06 8.523612e-06 4.0588634e-06 0.0 0.0 4.0588634e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073140714 2.0294317e-06 2.8412044e-06 4.0588634e-07 8.117727e-07 8.117727e-07 4.0588634e-07 1.1770703e-05 1.9076657e-05 0.0 4.0588634e-07 0.0 1.6235454e-06 0.0 4.0588634e-07 5.9259404e-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 0.00042415122 0.0 0.00035149755 2.0294317e-06 3.6529768e-06 2.0294317e-06 2.9629702e-05 1.4611907e-05 0.0 4.0588634e-07 8.117727e-07 4.0588634e-07 8.117727e-07 4.0588634e-07 8.117727e-07 0.0 0.00086169667 1.6235454e-06 0.00062831206 1.4611907e-05 2.2323748e-05 6.088295e-06 7.874195e-05 3.6935657e-05 0.0 1.217659e-06 1.6235454e-06 2.0294317e-06 2.0294317e-06 8.117727e-07 2.435318e-06 2.0294317e-06 0.003271038 6.900068e-05 0.0004968049 2.9629702e-05 0.00015788978 7.143599e-05 0.00088848517 0.00055159954 7.995961e-05 4.870636e-06 1.33942485e-05 5.276522e-06 8.117727e-06 2.8412044e-06 7.3059537e-06 0.00016113686 0.0016811811 3.5717996e-05 0.00025854958 0.00012988363 0.00027681448 0.00012095412 0.0010374455 0.000492746 3.4906225e-05 1.0553044e-05 9.741272e-06 9.335386e-06 1.2582476e-05 1.217659e-05 2.0294316e-05 1.33942485e-05 0.0026682967 0.0001396249 0.00014977205 9.903626e-05 0.00016803695 7.955372e-05 0.00038193903 0.00017574878 0.00010187747 0.00012501299 4.302395e-05 6.210061e-05 9.091854e-05 3.2876793e-05 8.158315e-05 0.0005881293 0.0011109109 9.010676e-05 0.000113242284 3.0441475e-05 0.00023176109 0.000103501014 0.00031902664 0.00017168991 6.6971246e-05 2.1917862e-05 8.523612e-06 3.652977e-05 6.656536e-05 1.1770703e-05 2.2323748e-05 8.848322e-05 0.0016056863 0.00024272002 0.00042536887 0.0027717978 0.00038965087 0.00025449073 0.00036935657 0.00025733194 0.00034297394 0.00022729635 0.00017006637 0.00019523132 0.00022364336 0.0001899548 0.00020294316 0.00044403964 0.004376672 0.0007273483 0.0016653516 0.0003705742 0.0015090854 0.0007971607 0.00049964606 0.00047975764 0.0020740791 0.00012826009 0.00018670771 0.00021511976 0.0004160335 0.00025773782 0.00042658654 0.00083247287 0.011136709 0.001414108 0.0013049245 0.0012225296 0.003756478 0.0027620564 0.0019912783 0.001738817 0.0059600347 0.0007236953 0.0007719958 0.0010252688 0.0019803194 0.0011957411 0.002728368 0.0060067116 0.0066784536 0.0011474406 0.0010812812 0.0013589074 0.0030591653 0.0033871215 0.0015874214 0.0016970107 0.00533497 0.00054267 0.00061167066 0.00091202656 0.0026017313 0.0013536309 0.0027007677 0.0058459807 0.05276644 0.054036457 0.053314388 0.054245085 0.053197086 0.053557105 0.053825397 0.055156298 0.053878568 0.05368699 0.05367928 0.055063758 0.05422763 0.05529024 0.055148993 0.057587963 5981.0 6.5527506 39192.0 0.012936314 0.0074505 0.008343539 0.007552562 0.0108185345 0.008292508 0.007833231 0.007144315 0.0091600325 0.0076801386 0.008751786 0.009185548 0.009542764 0.008037355 0.009415187 0.0075270464 0.010767504 0.00995101 0.010257196 0.00995101 0.010104103 0.010053072 0.010129618 0.009517249 0.010333742 0.010002041 0.01117575 0.010639926 0.012502551 0.010333742 0.0105888955 0.010104103 0.00839457 0.0110992035 0.0076801386 0.0110481735 0.010257196 0.011813635 0.009823433 0.00928761 0.00928761 0.009364156 0.009517249 0.009313125 0.00995101 0.009491733 0.008139417 0.008853848 0.009593795 0.008828333 0.010180649 0.011532966 0.010869565 0.00900694 0.009593795 0.009440702 0.007884262 0.008343539 0.008088386 0.009057971 0.009134517 0.008649725 0.009644825 0.009772402 0.008190447 0.016533986 0.008828333 0.011864666 0.012681159 0.028041437 0.009517249 0.010333742 0.010793019 0.019060012 0.008113901 0.008547663 0.017044295 0.012043274 0.017069811 0.01824352 0.009772402 0.0073484383 0.021024698 0.014441723 0.021866707 0.010997143 0.008624209 0.010180649 0.01084405 0.010486834 0.0077822004 0.0076801386 0.0089303935 0.0075780773 0.008471116 0.008037355 6.5251284 1.0 0.0 3.0 18.0 1233578.0 180224.0 0.0 0.0 12.0 1.0 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 2.0 -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 1.0 0.0 4.0 0.0 117760.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117760.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7150817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.311625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4649806 0.0 0.0 0.0 0.0 0.0 0.0 -4.9610357 3.1667542 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5821.0 0.0 0.0 0.0 0.0 0.0 -2136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117316.0 0.0 0.0 0.0 0.0 0.0 0.0 -5054.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5054.0 135168.0 13824.0 159744.0 0.0 0.0 0.0 0.0 6688.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05204605 0.0020561293 0.0017313593 0.0016462472 0.0023831388 0.0016731247 0.0019105427 0.002250991 0.0023629807 0.0016238493 0.0051918384 0.0018366296 0.0016865635 0.0016932829 0.0018388693 0.0019307008 0.002360741 0.0016350483 0.0019127826 0.0019351804 0.0018836652 0.0021905168 0.0017851143 0.0018836652 0.0017201604 0.0018231908 0.001659686 0.0018814254 0.001820951 0.0018500683 0.0020449301 0.0016977624 0.0017582368 0.0015768136 0.0016216096 0.0016148902 0.0018881448 0.0017403185 0.0016843237 0.0016395279 0.0017963133 0.0018142316 0.0016507268 0.0016977624 0.0017112012 0.0017627164 0.0017313593 0.0016529666 0.0015812933 0.0014648241 0.0016574461 0.0026362354 0.001973257 0.0021098843 0.0017492777 0.0016014514 0.0016753646 0.0016507268 0.0017156808 0.0017000022 0.0026743119 0.0016014514 0.0017268797 0.0016260891 0.15641141 0.0015857728 0.0017492777 0.0016798441 0.0015140995 0.001852308 0.0023226645 0.0015611352 0.0016148902 0.0016462472 0.0016865635 0.0016552064 0.0016014514 0.0020314914 0.0014827424 0.001529778 0.0021412412 0.0018679866 0.0018612673 0.0018321499 0.001529778 0.0016574461 0.0018612673 0.0013998701 0.0017828746 0.0015096199 0.0017873541 0.0017403185 0.0017022421 0.0017492777 0.0017224002 0.0024279347 0.0019083029 0.0022151545 0.0016328085 0.0018388693 0.0018881448 0.0018859049 0.0030438774 0.0017492777 0.0018836652 0.0017604766 0.0018276704 0.0016731247 0.001789594 0.0016843237 0.0019553385 0.0019844559 0.0016148902 0.0013438753 0.0017470379 0.0016507268 0.0019351804 0.0014827424 0.001971017 0.0017291196 0.0015096199 0.0016417677 0.0015880127 0.0016417677 0.001691043 0.0016305686 0.0016440074 0.0015857728 0.0021054046 0.0020561293 0.001529778 0.0016552064 0.0016507268 0.0020090935 0.0035478307 0.020529935 0.001691043 0.0019441396 0.0014267477 0.0020023743 0.0016686452 0.0021613995 0.0014782628 0.0015252985 0.0021860371 0.0017806347 0.001843349 0.0014625842 0.001789594 0.0017201604 0.0017380787 0.0017201604 0.0018411091 0.002575761 0.001659686 0.0019239815 0.0016305686 0.0016820839 0.0023226645 0.0017313593 0.0017515174 0.0017000022 0.0019307008 0.0018635071 0.0016395279 0.0021793179 0.0017089614 0.0017851143 0.0017268797 0.0016820839 0.0017022421 0.0015454566 0.0016843237 0.0017604766 0.0022465116 0.0016260891 0.0028579747 0.0027571842 0.0028960512 0.002748225 0.003081954 0.003039398 0.0029117297 0.0027011894 0.0028490156 0.0029654847 0.0029475666 0.0026205569 0.0028714135 0.0027751024 0.0027616636 0.14999664 0.0020583689 0.0018859049 0.0016260891 0.001843349 0.0016238493 0.14272851 0.0016776043 0.001691043 0.0016753646 0.001605931 0.0016776043 0.0018388693 0.0028176585 0.0017268797 0.0016641655 0.0018567877 0.0018567877 0.0016776043 0.0017044818 0.0016664054 0.0018500683 0.0016507268 0.0017783949 0.0019329407 0.001767196 0.0018679866 0.0016798441 0.0018836652 0.0017380787 0.0019307008 0.0016440074 0.0015029005 0.0020090935 0.0018231908 0.0019083029 0.0020494098 0.0018724662 0.0017649562 0.0016753646 0.0015992116 0.001843349 0.0017156808 0.0020292518 0.0016305686 0.0027056688 0.0022778686 0.0018388693 0.0018926243 0.0020606087 0.0018052724 0.0018567877 0.0019172621 0.0018903846 0.0018881448 0.0017559971 0.0019553385 0.0018679866 0.0017694358 0.0017156808 0.0017716755 0.0017425583 0.0017559971 0.001735839 0.0057831435 0.025263784 2.2449713e-06 1.1224856e-06 1.1224856e-06 0.0 0.0 0.0 1.1224856e-06 0.0 0.0 0.0 0.0 4.4899425e-06 0.0 6.7349138e-06 6.7349138e-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 0.0020822107 3.2552085e-05 2.3572198e-05 3.3674569e-06 2.1327227e-05 1.4592313e-05 3.367457e-05 1.9082256e-05 2.1327227e-05 5.612428e-06 1.1224856e-06 1.1224856e-05 8.979885e-06 1.0102371e-05 5.612428e-06 4.4899425e-06 0.0019239404 2.1327227e-05 2.0204741e-05 4.153197e-05 3.2552085e-05 3.1429598e-05 0.000102146194 4.153197e-05 0.017266074 1.1224856e-06 5.612428e-06 0.017255971 5.612428e-06 0.0 2.2449713e-05 1.0102371e-05 0.0017522001 3.3674569e-06 0.0 1.6837284e-05 6.6226654e-05 0.000116738505 0.00021214978 0.000110003595 2.2449713e-06 1.1224856e-06 1.0102371e-05 4.4899425e-06 1.1224856e-06 1.1224856e-06 0.0 1.1224856e-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 0.0031586746 4.2654454e-05 2.2449713e-05 7.632902e-05 0.00021663973 6.847162e-05 0.00012571839 5.8369253e-05 0.0001638829 4.153197e-05 7.745151e-05 5.0511855e-05 3.816451e-05 2.4694684e-05 0.000108881104 0.00032327586 0.0014917834 8.530891e-05 9.316631e-05 3.591954e-05 0.00010551365 1.4592313e-05 0.00011112608 3.7042028e-05 5.612428e-05 3.1429598e-05 3.1429598e-05 6.173671e-05 2.0204741e-05 1.4592313e-05 2.2449713e-05 8.643139e-05 0.0013593301 8.755388e-05 6.6226654e-05 7.632902e-05 0.0003838901 7.969648e-05 8.867637e-05 6.510417e-05 0.0008452317 7.4084055e-05 6.398168e-05 0.0009911548 0.00017735273 5.5001798e-05 6.398168e-05 0.000120105964 0.0024088542 8.643139e-05 9.316631e-05 0.0001403107 0.000272764 0.0001717403 0.00039960488 0.00024806932 6.0614224e-05 0.00011449354 6.847162e-05 0.00011337105 5.2756826e-05 6.734914e-05 6.2859195e-05 0.00023684447 0.0064643947 0.00040184986 0.00032664332 0.00074308546 0.00046470904 0.00050624105 0.001167385 0.0003984824 0.0011516702 0.00075318787 0.00032103088 0.00085533404 0.0006555316 0.00017510777 0.00036256286 0.0013447378 0.0071693156 0.00091033586 0.00019643498 0.0012392241 0.0008418642 0.0008115571 0.0013323905 0.0003367457 0.0021181304 0.000820537 0.0007958423 0.0010012572 0.0012650413 0.00032215338 0.0011056483 0.0027220277 0.02499102 0.024887752 0.023712508 0.023204023 0.17655352 0.023391478 0.023525054 0.022400323 0.023556484 0.024185076 0.023670977 0.16977483 0.16480334 0.024626212 0.025193067 0.02451284 0.0015142331 0.0007217583 0.0002491918 0.0003838901 0.000822782 0.00070828845 0.0005949174 0.00036480784 0.0010158495 0.00032439834 0.00022898708 0.00023796696 0.00032439834 0.00041980963 0.00037154273 0.0009125808 0.0023920168 0.0028387662 0.0025738596 0.0032462284 0.00254243 0.0027096802 0.0030587732 0.0023661996 0.0028163164 0.0033180676 0.0033225575 0.0028578483 0.0030250987 0.0024705909 0.0033753144 0.0030632634 1071.0 6.341737 6792.0 0.007803298 0.0097173145 0.009128386 0.0060365135 0.00795053 0.0067726737 0.0076560657 0.008097762 0.0069199055 0.008097762 0.009128386 0.009128386 0.007508834 0.0069199055 0.008686691 0.008833922 0.0054475856 0.0058892816 0.009275618 0.008981154 0.008686691 0.0055948175 0.008686691 0.007508834 0.008539458 0.0072143697 0.008097762 0.007361602 0.040047113 0.0058892816 0.0072143697 0.0072143697 0.040636044 0.010453475 0.0097173145 0.011778563 0.008686691 0.008833922 0.008833922 0.006625442 0.006625442 0.0072143697 0.00795053 0.0069199055 0.008686691 0.009128386 0.0058892816 0.008392226 0.009422851 0.009864546 0.014134276 0.011778563 0.007361602 0.009275618 0.009128386 0.006625442 0.011189635 0.0060365135 0.0076560657 0.012809187 0.0072143697 0.007508834 0.008244994 0.045494698 0.012809187 0.027385158 0.014428739 0.011484099 0.016931685 0.016637221 0.010747938 0.008392226 0.009275618 0.014134276 0.010011778 0.011042403 0.010306243 0.0097173145 0.012661955 0.016048292 0.010453475 0.0051531214 0.020612486 0.013692579 0.018698469 0.0097173145 0.018698469 0.0060365135 0.0063309777 0.009275618 0.0054475856 0.0072143697 0.008686691 0.0064782095 0.005005889 0.0063309777 6.380656 1.0 0.0 0.0 5.0 446470.0 450560.0 0.0 0.0 53.0 0.0 1.0 0.0 0.0 0.0 1474498800.0 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 2.0 7.0 6.0 0.0 4.0 0.0 4.0 0.0 425984.0 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 -425984.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8661556 0.0 5.0471115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -422472.0 0.0 8280.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 425412.0 8280.0 438272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 236.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.38928312 0.017510941 0.0126287285 0.060675845 0.023588663 0.033126343 0.008559918 0.00073662086 0.0010413467 0.004086206 0.0012081062 0.012932255 0.00072102464 0.0006382448 0.0007054284 0.000933373 0.0017353779 0.0016412009 0.0021390799 0.001751574 0.002093491 0.0022476534 0.0031900243 0.0021720717 0.0018943393 0.0008475939 0.0008056041 0.0006958308 0.00067003706 0.0004588884 0.00025073902 0.00028733013 0.0036915021 0.00047688402 0.0006430436 0.0035997245 0.012104456 0.0005338702 0.0003215218 0.00042949556 0.00033951743 0.0025139886 0.00036591102 0.00028972953 0.0009243752 0.002512189 0.0035535358 0.0003479154 0.009425508 0.010604821 0.008834652 0.006669178 0.006468827 0.0058473777 0.0055816425 0.00546887 0.005041174 0.005530055 0.00031972225 0.00030412604 0.00028073174 0.00030412604 0.00025133888 0.00032212166 0.0005584642 0.009883796 0.007200649 0.017082045 0.008583313 0.018388528 0.0035793295 0.0057178093 0.0019045369 0.014788804 0.00546767 0.0029368857 0.011113497 0.0062438813 0.011602978 0.01200728 0.00707228 0.00040490154 0.008543123 0.0078041023 0.013618488 0.011904105 0.002746732 0.0022050638 0.0014984356 0.001250096 0.0005806588 0.00033771788 0.00034731554 0.00029692778 0.00031612313 0.010820168 0.004037618 0.0010491449 0.00039170473 0.0025565783 0.0007324219 0.0019069363 0.0005842579 0.00042769598 0.0004444919 0.0009795618 0.0003113243 0.0003383177 0.0008571915 0.000481083 0.0009981572 0.0012165041 0.000600454 0.0003383177 0.001225502 0.0007480181 0.0012716907 0.0006430436 0.00035331407 0.00042469671 0.00031012457 0.00036591102 0.00029692778 0.00029692778 0.009395515 0.00029992705 0.00022374559 0.00035331407 0.0008475939 0.00036051232 0.00034491613 0.00095616747 0.00022314573 0.00027053422 0.002462401 0.00030652544 0.00026213625 0.00025793727 0.00021354806 0.00023154369 0.0022848444 0.00027413334 0.00028673027 0.00020574997 0.0002183469 0.00026513552 0.0002183469 0.00022074631 0.0002117485 0.0002405415 0.00020814937 0.00022374559 0.00020874923 0.00026453566 0.00018535492 0.00024534034 0.00042529657 0.00032632065 0.0001895539 0.00022554515 0.0011031317 0.00033411875 0.00021774705 0.0028511067 0.00020574997 0.00023034398 0.0003623119 0.00023454295 0.0002393418 0.00024773975 0.00019255317 0.0002405415 0.00021954661 0.00021594748 0.00022794456 0.00025433814 0.00021954661 0.00025673755 0.00027953202 0.0002183469 0.00023814208 0.00024773975 0.00020095112 0.0002525386 0.00024893947 0.00027113405 0.00022674486 0.00021714719 0.00022014647 0.00023994164 0.00019795186 0.00026873464 0.0003623119 0.00024354077 0.00020634981 0.001759972 0.00021954661 0.0002393418 0.00030772516 0.00024114136 0.00020574997 0.00024114136 0.00022434544 0.0002693345 0.00022794456 0.00024474048 0.00020455025 0.00024114136 0.00025193873 0.00025073902 0.00022314573 0.00023574267 0.00022134617 0.0002471399 0.00020754953 0.00034551596 0.00038750574 0.0002273447 0.00021954661 0.0002417412 0.00022194603 0.0005584642 0.00023574267 0.00023274339 0.0009831609 0.00031732282 0.0002183469 0.0044047288 0.00036651085 0.00025673755 0.0010089546 0.00023874194 0.00022254587 0.00025793727 0.00020335054 0.00023274339 0.00023514281 0.00023814208 0.00020754953 0.00021474778 0.00034731554 0.0004432922 0.00019915156 0.00024893947 0.00024354077 0.00041269962 0.00020095112 0.0002903294 0.00022134617 0.0003059256 0.00028912968 0.00029992705 0.00044509175 0.000999357 0.0021210841 0.012306008 0.008604794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011623314 8.70323e-06 3.901448e-06 3.001114e-06 4.501671e-06 9.003342e-07 3.001114e-06 3.3012254e-06 6.002228e-07 3.001114e-07 3.001114e-07 6.002228e-07 6.002228e-07 0.0 6.002228e-07 3.661359e-05 0.0022403316 5.4620275e-05 1.2004456e-05 5.402005e-06 8.403119e-06 9.903676e-06 5.732128e-05 2.5209358e-05 9.003342e-07 2.1007797e-06 0.0 9.003342e-07 7.2026737e-06 3.001114e-07 1.8006684e-06 3.211192e-05 0.018207459 0.00034302732 0.00013144879 6.482406e-05 0.00043306075 0.0005260953 0.00011254178 7.8629186e-05 0.00027700284 7.89293e-05 7.11264e-05 7.142651e-05 8.313086e-05 5.0418716e-05 4.321604e-05 0.00032502064 0.2720522 0.0061936993 0.0022913506 0.0020737697 0.009768026 0.01053331 0.0021710058 0.0021055816 0.0050016567 0.0017415464 0.0014207273 0.0015848883 0.001532669 0.0015527764 0.0015257663 0.0054332167 0.104858026 0.0042318706 0.00086972286 0.0010038726 0.003216894 0.0029044782 0.0011248175 0.0011869406 0.0019447219 0.000800097 0.0008451137 0.0007505786 0.00082050456 0.00081960426 0.0006395374 0.0048990184 0.020375162 0.000560308 0.0019081082 8.0729966e-05 0.0001497556 0.0002842055 0.0010915052 0.000120644785 0.00023588756 7.742874e-05 0.0007043615 6.482406e-05 0.00029410917 0.00017946662 0.00096996006 0.0011764367 0.060750652 0.0023402688 0.008689426 0.010832521 0.008962527 0.0016692196 0.0038111147 0.0016182007 0.0007922941 0.00013204901 0.0022181233 0.00017316428 0.0011644323 0.00021908132 0.0038321225 0.0040425006 0.056562297 0.0042870915 0.01446597 0.052735876 0.10484632 0.048533715 0.003954868 0.008911808 0.00074877794 0.00047597667 0.0012601678 0.00050958915 0.0008361104 0.00058521726 0.001586989 0.0020962781 0.014939846 0.0014033209 0.0026121696 0.0034497806 0.0074343598 0.0037402883 0.0026520845 0.0017061334 0.0003604338 0.00019837363 0.0004288592 0.00023918878 0.00030881463 0.0004081515 0.00052189373 0.0007763882 0.0049134237 0.00045586922 0.0013450993 0.0006503414 0.0018042697 0.001144925 0.0020143478 0.0010491895 9.7236094e-05 4.74176e-05 7.682852e-05 4.74176e-05 5.8521724e-05 9.99371e-05 9.873665e-05 0.00023288645 0.00077188655 0.00041685475 4.47166e-05 4.081515e-05 4.1415373e-05 4.951838e-05 4.081515e-05 4.111526e-05 5.4920387e-05 5.52205e-05 5.101894e-05 4.74176e-05 4.501671e-05 5.1919273e-05 4.9818493e-05 4.1415373e-05 0.0025770566 0.0024414062 0.0002707005 0.00033072277 0.0004129533 0.00035443157 0.00025599502 0.00027940373 0.00025959636 0.00025419437 0.00029110807 0.00029741038 0.00027190094 0.00032291986 0.00032231965 0.00027730293 0.00015725837 0.00014885525 1.740646e-05 2.4008912e-05 5.4020053e-05 3.5413144e-05 1.3805125e-05 2.1908132e-05 1.9807352e-05 1.5905904e-05 1.3505013e-05 1.8306795e-05 1.8606906e-05 2.1007798e-05 1.920713e-05 1.5605792e-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 35997.0 12.132372 436729.0 0.0063311574 0.0003274342 0.0013646907 7.785148e-05 0.04376627 0.00031140592 8.930023e-05 0.00015112346 0.00018317996 0.00018317996 1.6028247e-05 0.00011448748 8.930023e-05 0.00039154716 0.004142157 4.350524e-05 0.029253839 0.035165973 0.029544637 0.021828182 0.020332975 0.019252213 0.0190095 0.018308837 0.01698994 0.0170884 0.0002587417 4.579499e-06 4.579499e-06 3.892574e-05 4.579499e-06 6.869248e-05 9.158998e-06 0.02503841 0.026274875 0.047473375 0.03172448 0.06918936 0.012486004 0.02055737 0.0064112986 0.04661472 0.014585705 0.0028988228 0.034508813 0.022476181 0.042907614 0.04478979 0.022531135 0.00048313715 0.03170387 0.028147891 0.044073097 0.016456429 0.0058800764 0.005364883 0.0041078106 0.0036178043 0.000977723 0.0 0.0001625722 0.0 0.0 0.038504425 1.8317996e-05 0.0028736356 0.00057243736 0.0012914187 0.0016051144 0.0055824094 0.00064112985 0.0006777659 0.00077851483 0.002688166 3.2056494e-05 0.00031369567 0.0023286752 0.0008357586 0.002779756 0.0035880373 0.000996041 1.6028247e-05 0.0030659745 0.0017837149 0.0037735072 0.0012502032 0.0004029959 0.0005586989 0.0002679007 0.0003938369 5.724374e-05 0.0 0.02613062 0.0 0.0 2.2897495e-06 5.245512 0.0 0.0 7.0 2.0 1667072.0 1667072.0 0.0 0.0 12.0 0.0 1.0 0.0 0.0 0.0 1065417150.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1638400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.814296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6779218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9008317 0.0 3.89743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1635456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -289.0 0.0 15632.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 482.0 1648830.0 15632.0 1650688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1649248.0 0.0 0.0 0.0 0.0


Input: 0.021671563 0.0037002186 0.0036415234 0.0036012754 0.003675809 0.0035917722 0.0035640085 0.0035936355 0.0036689145 0.003598853 0.0036407781 0.0036115237 0.0035899088 0.0035623314 0.0036336973 0.0036443183 0.0036081697 0.0036247533 0.0035925175 0.0036493493 0.0035964306 0.0037035726 0.0036458091 0.003603325 0.0036118962 0.0042048106 0.0035891635 0.0039754338 0.0036322067 0.004468287 0.006153118 0.0037363674 0.003773075 0.0036148776 0.0037048769 0.0035742568 0.0036292253 0.003675809 0.0036048156 0.0036519582 0.0036465544 0.0036512127 0.00367879 0.0036644426 0.003701523 0.003713262 0.0035999708 0.003716616 0.0037348766 0.003738976 0.0037477338 0.0038841302 0.0037175475 0.0037661807 0.0038597204 0.003741771 0.00380587 0.0038613975 0.0038777948 0.00404829 0.003799721 0.0038407142 0.003962577 0.0039126393 0.004230711 0.0037505287 0.0038872978 0.003958477 0.0039100307 0.004016986 0.0041341903 0.0037814602 0.0040305885 0.0039284774 0.00397357 0.003938726 0.003909285 0.004052576 0.0041261776 0.0037570505 0.004045309 0.003989968 0.0039832597 0.0039925766 0.0040205265 0.004032079 0.0040095327 0.0041075447 0.004255121 0.003745684 0.00400916 0.0039692847 0.0038742544 0.003894565 0.0038435094 0.003851708 0.0037943171 0.0038574843 0.003626803 0.0035873002 0.0036411507 0.0036944423 0.0036827032 0.0036404054 0.003686989 0.0036333248 0.0036735728 0.0035746295 0.003653076 0.0036350016 0.003619536 0.003674318 0.0036553121 0.0036249396 0.0036350016 0.0036364924 0.0037550007 0.003806429 0.0035477974 0.0036186043 0.003668169 0.0035923312 0.003613387 0.0035817102 0.0036199086 0.0036528897 0.0036064927 0.003573139 0.0036238218 0.003647486 0.0035897226 0.003696492 0.0036711504 0.003695374 0.0035889773 0.0035692258 0.003626803 0.0036629518 0.003602766 0.0037140073 0.0036029522 0.003614505 0.00361171 0.0036260576 0.0035863686 0.003603325 0.0036303434 0.0035817102 0.0035658719 0.0036780448 0.0035940083 0.003601089 0.0035878592 0.0036746908 0.0036387283 0.003649722 0.0035813376 0.0035791015 0.0036070517 0.0036344428 0.003635188 0.0036055609 0.0036085423 0.0036271757 0.0036983553 0.003598853 0.0036074242 0.0036254986 0.0036305296 0.0036146913 0.0035908406 0.003635188 0.003613946 0.0036437593 0.0036156229 0.0036040703 0.0036182317 0.003587673 0.0036057474 0.0035953126 0.0036050018 0.0036076107 0.0036443183 0.0036124552 0.0035811511 0.0035886045 0.003622331 0.0036029522 0.0035919587 0.0035930765 0.0036182317 0.0035710891 0.0036948149 0.0036389148 0.003616741 0.003622331 0.0036357471 0.003599412 0.003622331 0.003658107 0.0036051883 0.0035968032 0.0035975487 0.0035869277 0.0036426415 0.003618977 0.003631834 0.003632952 0.0036003436 0.0035792878 0.0036098466 0.0036137595 0.0036569892 0.003800839 0.005505794 0.003611151 0.0036922062 0.0037046906 0.0036098466 0.0036208404 0.0036651879 0.0036055609 0.0036130142 0.0036711504 0.0036445048 0.0036579208 0.0035843188 0.0036230762 0.0036253124 0.0035928902 0.003604443 0.0035899088 0.0037313364 0.0036739456 0.003621213 0.0036057474 0.0036551259 0.0036206539 0.0036275485 0.0036132007 0.0041940035 0.006162621 0.007041372 0.0047537503 0.0037596591 0.0037190383 0.003718852 0.0037169887 0.0036676102 0.003728914 0.0037134483 0.003711026 0.00372556 0.0037358084 0.0037969258 0.026923385 0.011259641 5.5920736e-07 5.5920736e-07 9.320123e-08 1.8640246e-07 9.320123e-08 1.8640246e-07 0.0 9.320123e-08 0.0 0.0 0.0 0.0 2.7960368e-07 0.0 0.0053445315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003331944 1.7801434e-05 6.524086e-06 1.8640246e-07 9.320123e-08 1.8640246e-07 2.7960368e-07 2.7960368e-07 9.320123e-08 1.0997745e-05 0.0 9.320123e-08 2.7960368e-07 1.1743356e-05 0.0 0.0 0.00046423535 2.3300308e-06 1.5844209e-06 3.634848e-06 2.2275095e-05 2.0783875e-05 3.4484456e-06 2.2368295e-06 2.1436283e-06 1.4912197e-06 1.3980184e-06 9.320123e-07 2.0504272e-06 1.9572258e-06 2.423232e-06 3.9703726e-05 0.0002936771 1.3980184e-06 1.3980184e-06 4.3338572e-05 3.0476802e-05 5.2006286e-05 5.0328663e-06 2.9824394e-06 3.4484456e-06 2.0504272e-06 3.3552444e-06 3.262043e-06 1.3980184e-06 1.3048173e-06 4.473659e-06 0.00031390175 0.00064206327 0.0005883794 6.691848e-05 0.0003701021 0.00025425295 0.0004235996 2.339351e-05 1.211616e-05 1.1836556e-05 1.9479057e-05 1.4446191e-05 1.7615033e-05 1.6403417e-05 0.00031334255 2.6748754e-05 0.0029255867 0.0009334103 0.00078410195 0.00028733938 0.0017952421 0.0026699356 0.002722408 0.00036451002 0.000114637514 7.008733e-05 7.5493e-05 6.0207996e-05 6.253803e-05 5.228589e-05 0.0004766311 9.8700104e-05 0.011383225 0.0020403613 0.0019562007 0.00023654473 0.0009308939 0.0020053177 0.002228255 0.00044550188 0.0001136123 7.325617e-05 8.630434e-05 7.8289035e-05 7.894144e-05 7.288336e-05 0.0011028502 0.00018500445 0.008598653 0.00073601014 0.0007704946 0.00013243895 0.00027811248 0.000393682 0.0003781174 0.0002707496 0.00013737862 3.541647e-05 4.54822e-05 4.9862658e-05 4.715982e-05 4.6693818e-05 0.00044811153 8.937998e-05 0.0020580697 0.00024791528 0.0005641471 0.00014809676 0.00017139707 0.00015974691 9.730209e-05 9.357404e-05 5.1819883e-05 1.062494e-05 1.40733855e-05 2.3673112e-05 1.286177e-05 1.5564605e-05 0.00032834793 9.478565e-05 0.0008292114 0.00047411467 0.00013262536 8.695675e-05 0.00027979008 9.2921626e-05 6.477485e-05 0.00012973612 8.807516e-05 4.7532627e-05 2.870598e-05 5.8343972e-05 3.2247626e-05 3.485726e-05 9.683608e-05 3.8492108e-05 0.00022275094 0.00018081038 6.934172e-05 1.742863e-05 1.8640247e-05 3.569607e-05 1.5285003e-05 1.7242228e-05 2.2554697e-05 3.3272838e-05 1.5657806e-05 1.2768569e-05 1.2395763e-05 2.2275095e-05 3.9517323e-05 1.9479057e-05 4.026293e-05 9.87933e-05 1.7521832e-05 1.0811343e-05 1.5378204e-05 4.035613e-05 2.115668e-05 1.7055825e-05 2.6375948e-05 4.911705e-05 2.3300308e-06 3.1688419e-06 5.0328663e-06 1.8733448e-05 8.201709e-06 1.6403417e-05 3.1315612e-05 0.0009884923 0.00021520164 0.00014492791 0.0001969342 0.00040617096 0.0003538851 0.00019497698 0.00026357308 0.00048082514 4.3338572e-05 6.253803e-05 8.835477e-05 0.00020662713 9.469245e-05 0.00025965864 0.0005808301 0.057251744 0.05729527 0.057478502 0.05721698 0.057296015 0.057269175 0.057126764 0.057371136 0.057346717 0.05746928 0.057607867 0.05730366 0.057532094 0.057258364 0.05725659 0.057461355 23150.0 5.722894 132485.0 0.01046911 0.010642714 0.011012567 0.010129449 0.010340793 0.009631279 0.010348341 0.010174736 0.010038872 0.009759596 0.010023776 0.009880364 0.010363437 0.010182285 0.010046421 0.010235121 0.010069065 0.010106805 0.010318149 0.010869155 0.010876703 0.009910556 0.010197381 0.010152093 0.010348341 0.010167189 0.010378533 0.010340793 0.010597426 0.010303053 0.01046911 0.010212477 0.010242669 0.010167189 0.010038872 0.010574782 0.010627618 0.010906895 0.010484206 0.01050685 0.010265313 0.010567234 0.010235121 0.010597426 0.010363437 0.010620071 0.010084161 0.010318149 0.010552138 0.009797336 0.010242669 0.0108465105 0.010763483 0.010046421 0.01046911 0.010989923 0.00978224 0.0099332 0.010053968 0.010446466 0.009623731 0.009676567 0.010363437 0.010257765 0.0099332 0.011359776 0.010136996 0.01043137 0.011027664 0.0134656755 0.010808771 0.010408726 0.010076612 0.011601313 0.010031324 0.010861607 0.011246556 0.010182285 0.010703098 0.01172963 0.010227573 0.010257765 0.011382421 0.011020116 0.011714534 0.010891799 0.009714307 0.01050685 0.010604974 0.010423821 0.010378533 0.009616183 0.010303053 0.009789787 0.009910556 0.010212477 6.5830746 1.0 0.0 0.0 75.0 5366710.0 2785280.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 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 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28672.0 1024.0 4096.0 6.0 1.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 403968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8455846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.499061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4727823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527772 0.0 5.1692424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1904640.0 -3978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10898.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28432.0 0.0 403872.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39780.0 403872.0 2375680.0 0.0 0.0 6216.0 37805470.0 2488.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.56988794 0.011492301 0.007472826 0.004302536 0.0049818843 0.0034250454 0.006567029 0.0030004529 0.002830616 0.0025192483 0.0069633154 0.002660779 0.0016700634 0.0018965127 0.0020663496 0.00056612317 0.001415308 0.0017832881 0.0033401267 0.0010190217 0.0011039402 0.0009341033 0.0006510417 0.0006510417 0.00056612317 0.00042459238 0.00050951086 0.0005944293 0.0009907156 0.0008208786 0.0007642663 0.00073596014 0.00707654 0.00025475543 0.0011888586 0.0009057971 0.0015568387 0.000537817 0.00087749097 0.0006510417 0.0020663496 0.00036798007 0.0011605525 0.0011605525 0.0015568387 0.0009341033 0.009709013 0.00087749097 0.0034250454 0.0013870018 0.0015285326 0.002122962 0.0009907156 0.002632473 0.0012454711 0.0008208786 0.0008208786 0.0006510417 0.00079257245 0.0004812047 0.00073596014 0.0016417572 0.0005944293 0.00033967392 0.00079257245 0.0027456975 0.00079257245 0.0026890852 0.0018965127 0.0013870018 0.0025758606 0.000707654 0.00067934784 0.0042176177 0.00016983696 0.00087749097 0.00056612317 0.002462636 0.0008208786 0.0007642663 0.0027740037 0.0006510417 0.0014436141 0.0059159873 0.0012737772 0.00084918475 0.0014436141 0.0028872283 0.00028306158 0.00039628622 0.00042459238 0.00022644928 0.0013303895 0.00036798007 0.00033967392 0.0020663496 0.00045289856 0.010161911 0.003708107 0.004812047 0.0047554346 0.023607338 0.0018682065 0.004245924 0.0023777173 0.010360055 0.00025475543 0.0013303895 0.010105299 0.005661232 0.013417119 0.014549366 0.0057461504 0.00056612317 0.013332201 0.012199955 0.01621943 0.0069350093 0.0009624094 0.002660779 0.0011605525 0.0036514946 0.00042459238 0.00031136777 0.00011322464 0.00045289856 0.00050951086 8.491848e-05 0.0016417572 0.0011039402 0.00033967392 0.00025475543 0.00019814311 0.00011322464 0.000537817 5.661232e-05 8.491848e-05 0.00031136777 5.661232e-05 5.661232e-05 0.0020663496 0.00011322464 0.00025475543 0.00025475543 0.00014153079 0.00045289856 0.00016983696 0.000707654 8.491848e-05 5.661232e-05 0.00045289856 2.830616e-05 0.00016983696 0.0009624094 5.661232e-05 0.00025475543 0.00016983696 0.00014153079 0.00011322464 0.00028306158 0.00014153079 0.00039628622 0.00014153079 0.00016983696 0.00039628622 0.00042459238 0.00016983696 0.00019814311 0.00056612317 0.0004812047 8.491848e-05 0.00016983696 5.661232e-05 0.00014153079 2.830616e-05 0.00022644928 0.00014153079 0.00042459238 5.661232e-05 0.00014153079 0.00019814311 0.00019814311 0.00014153079 0.00033967392 0.00014153079 0.00073596014 0.00011322464 0.000537817 0.00039628622 0.00011322464 0.00016983696 0.00014153079 0.00025475543 0.00062273553 8.491848e-05 0.00084918475 0.0018965127 0.00033967392 2.830616e-05 2.830616e-05 0.00014153079 0.00019814311 0.00022644928 2.830616e-05 0.0 0.00031136777 0.00011322464 5.661232e-05 0.00016983696 0.00019814311 0.00016983696 8.491848e-05 0.00050951086 2.830616e-05 2.830616e-05 0.00031136777 0.00011322464 0.00033967392 2.830616e-05 0.00011322464 0.00028306158 0.00016983696 0.00011322464 2.830616e-05 0.00025475543 0.00022644928 0.0008208786 0.00019814311 0.00019814311 0.00019814311 0.00016983696 8.491848e-05 0.00019814311 0.00039628622 2.830616e-05 8.491848e-05 0.00019814311 0.0 5.661232e-05 0.00022644928 5.661232e-05 0.0008208786 0.00014153079 8.491848e-05 0.00011322464 0.00019814311 8.491848e-05 5.661232e-05 0.00014153079 0.00031136777 0.00011322464 0.00019814311 0.00011322464 0.0009057971 0.0008208786 0.04163836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13679273 0.00034031723 0.00039950284 0.00032552084 0.00039950284 0.00048828125 0.00013316762 0.00048828125 0.00048828125 0.00042909564 0.00031072443 0.00032552084 0.00042909564 0.00032552084 0.00025153882 0.009588068 0.20746034 0.00048828125 0.00034031723 0.00044389206 0.00044389206 0.0017163826 0.00036991003 0.00069543085 0.0017459753 0.00050307764 0.00069543085 0.00060665247 0.0014796401 0.00036991003 0.00075461646 0.024310488 0.049701113 0.000118371216 0.0 0.00022194603 0.00026633524 0.00060665247 0.00014796402 0.00020714963 0.00047348486 0.00029592804 0.00016276042 0.00016276042 0.00044389206 0.00014796402 0.00029592804 0.0073538115 0.023881393 8.877841e-05 0.00041429925 0.00032552084 0.0007102273 0.00036991003 0.0017163826 0.0008877841 8.877841e-05 8.877841e-05 0.000103574814 0.000118371216 0.0 0.000118371216 0.000118371216 0.0012724905 0.023111979 0.000118371216 0.00068063446 0.00062144885 0.00060665247 0.0007990057 0.0017459753 0.0012133049 0.00022194603 8.877841e-05 4.4389206e-05 8.877841e-05 4.4389206e-05 0.00014796402 7.398201e-05 0.00069543085 0.04267282 0.0031812263 0.0046460703 0.0013168798 0.0040394175 0.0030036694 0.018658262 0.01134884 0.00022194603 0.00035511365 0.00023674243 0.00017755682 0.00026633524 0.00025153882 0.00014796402 0.00038470645 0.021129262 0.0015980114 0.0030480586 0.0009321733 0.0029000947 0.0029000947 0.015654594 0.0093069365 0.0006510417 0.000517874 0.00042909564 0.00036991003 0.00041429925 0.00019235323 0.00020714963 0.00035511365 0.06517815 0.002766927 0.007412997 0.004823627 0.0065548057 0.0051047583 0.03182706 0.0189098 0.0011393229 0.0011393229 0.0010209517 0.0010653409 0.0011689158 0.00063624524 0.0008285985 0.0019383286 0.038633406 0.004128196 0.008537523 0.0068063447 0.0060665244 0.005859375 0.029326469 0.015935725 0.0016276041 0.00068063446 0.00069543085 0.00075461646 0.00060665247 0.00048828125 0.00054746686 0.000517874 0.021676729 0.0032552083 0.0042909565 0.00390625 0.002544981 0.0024118135 0.011851918 0.00649562 0.0010653409 0.00026633524 0.00023674243 0.00039950284 0.00050307764 0.000103574814 0.00020714963 0.0013908617 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 311.0 22.180065 6898.0 0.0166715 0.00014496956 0.0034792693 0.001304726 0.00086981733 0.0 0.0 0.0 0.0 0.00014496956 0.0 0.00014496956 0.004928965 0.002609452 0.03247318 0.0037692084 0.010147869 0.003914178 0.0021745434 0.0076833866 0.002899391 0.0024644826 0.0021745434 0.00086981733 0.0017396347 0.001304726 0.0030443608 0.0010147869 0.0018846042 0.0071035083 0.0018846042 0.00043490867 0.00014496956 0.010872717 0.0033343 0.012322412 0.0050739343 0.004494056 0.010292838 0.0018846042 0.0017396347 0.016961439 0.0 0.002319513 0.0011597564 0.008553204 0.0020295738 0.0015946651 0.010002899 0.0 0.0047839954 0.016961439 0.004928965 0.002319513 0.003914178 0.012467382 0.00043490867 0.0 0.0002899391 0.0 0.0030443608 0.0 0.0 0.008843143 0.00043490867 0.041171353 0.014496956 0.021745434 0.020585677 0.10307335 0.007538417 0.018846042 0.008553204 0.044360686 0.0007248478 0.0055088433 0.04218614 0.024644824 0.057118006 0.049144678 0.020295737 0.0021745434 0.053638738 0.05537837 0.07233981 0.030733546 0.004204117 0.011307625 0.004639026 0.01609162 0.00086981733 0.0 0.00014496956 0.0 0.0 0.0 5.212111 4.0 4.0 0.0 1.0 35328.0 57344.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1490629100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 15872.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6594734 0.0 1.5186021 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 -15508.0 0.0 18420.0 0.0 0.0 0.0 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 23612.0 18420.0 24576.0 0.0 0.0 0.0 0.0 12.0 49152.0 28.0 23300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2220294 0.0036687078 0.0027647277 0.0038204708 0.0032464105 0.0038534629 0.003338788 0.0034839527 0.0030154667 0.0019993137 0.0027515308 0.0027581293 0.003055057 0.0022302575 0.0035103462 0.0033981735 0.0038600613 0.0022500528 0.0021906672 0.0025139886 0.0029428843 0.0026657516 0.0038072742 0.0025931695 0.0034443624 0.002606366 0.0025997676 0.00267235 0.003088049 0.002335832 0.002421611 0.0022434543 0.009303737 0.0025931695 0.002553579 0.0026327597 0.004830025 0.0025799726 0.00267235 0.0021444785 0.0036027238 0.0030748523 0.0023424304 0.0026261613 0.0026987437 0.0027251372 0.0028439083 0.0026393582 0.00600454 0.002923089 0.0025601774 0.0025469805 0.004025021 0.0027647277 0.003992029 0.0033321895 0.0029824746 0.002454603 0.0022632496 0.0022632496 0.0024414062 0.0020784945 0.00213788 0.0022302575 0.0041042017 0.003787479 0.003503748 0.0042493665 0.004387933 0.0045330976 0.0025337837 0.0026459566 0.0041767843 0.003088049 0.0031804265 0.0026789485 0.0037412902 0.004091005 0.0039260453 0.0028900972 0.0051995353 0.002652555 0.004143792 0.0049356 0.0032464105 0.004684861 0.002652555 0.002870302 0.0029428843 0.0026459566 0.002606366 0.0027647277 0.0025271855 0.004222973 0.0027977196 0.0027647277 0.0029098922 0.0071592587 0.0032002218 0.0032925992 0.0037610852 0.006710568 0.0033585832 0.003239812 0.0039722337 0.0045330976 0.0023754223 0.002454603 0.0037016997 0.0026657516 0.0049685915 0.0031804265 0.003338788 0.0022500528 0.0046320735 0.0041833827 0.0047640414 0.004091005 0.003305796 0.0025139886 0.004005226 0.0025601774 0.004038218 0.0021048882 0.002771326 0.0034245672 0.0022962415 0.0024612015 0.0028900972 0.0027053421 0.00267235 0.0033453864 0.0025799726 0.002454603 0.0021642738 0.0022104625 0.0025073902 0.006176098 0.0029164907 0.0056614233 0.0035367399 0.003939242 0.0024348078 0.0034245672 0.0031276394 0.002421611 0.0025271855 0.00283731 0.0026855469 0.0038534629 0.002619563 0.0025271855 0.0025601774 0.0027779243 0.002487595 0.0024941934 0.0021642738 0.0021840688 0.002203864 0.002355627 0.0024348078 0.0028109164 0.0026129645 0.0024084144 0.0019861169 0.0025931695 0.0027647277 0.0024743981 0.002652555 0.002804318 0.0036093222 0.002771326 0.0025271855 0.004123997 0.0024348078 0.0031738281 0.0023424304 0.0021642738 0.0026591532 0.002487595 0.002217061 0.0024678 0.0033123945 0.003774282 0.003305796 0.0021906672 0.0023490288 0.0023490288 0.0023754223 0.002586571 0.003022065 0.0026987437 0.002771326 0.002421611 0.0027251372 0.004058013 0.0040976033 0.003774282 0.0036621094 0.003318993 0.00267235 0.0028900972 0.0038996516 0.0025601774 0.002553579 0.0031936234 0.0022764464 0.0024084144 0.0038072742 0.0029824746 0.0028439083 0.002771326 0.002520587 0.0027845227 0.0026591532 0.0041833827 0.0029296875 0.002652555 0.0021774704 0.0025667758 0.002804318 0.0023886191 0.0022434543 0.0022500528 0.002203864 0.002335832 0.002738334 0.0023952175 0.0029824746 0.0026393582 0.0026327597 0.0026393582 0.0034311656 0.0039260453 0.0027845227 0.00300227 0.0028505067 0.0024480047 0.0028175148 0.0023292336 0.0024414062 0.002289643 0.0023754223 0.0048102303 0.0022632496 0.0018409523 0.002421611 0.0024612015 0.0030484586 0.0022566512 0.0024809965 0.0022566512 0.002355627 0.002289643 0.0023820207 0.006664379 0.06802721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006397481 9.964923e-06 9.3005954e-05 6.643282e-06 0.0001694037 6.643282e-06 0.0 0.0 0.0 6.643282e-06 1.3286564e-05 1.3286564e-05 3.321641e-06 0.0 0.0 8.304103e-05 0.0063443347 9.964923e-06 4.982462e-05 5.64679e-05 2.3251489e-05 2.6573129e-05 0.00022254996 6.6432825e-05 0.0 0.0 0.0 0.0 0.0 0.0 3.321641e-06 0.0 0.018069727 0.00017604697 0.00014947385 6.311118e-05 0.0003321641 0.00018269026 0.0007141529 0.0002989477 6.311118e-05 3.9859693e-05 1.9929847e-05 6.6432825e-05 5.978954e-05 4.3181335e-05 7.30761e-05 5.64679e-05 0.011526095 7.9719386e-05 6.6432825e-05 0.0010961415 5.978954e-05 9.3005954e-05 9.3005954e-05 7.30761e-05 7.30761e-05 8.636267e-05 9.964924e-05 6.6432825e-05 4.6502977e-05 2.6573129e-05 3.9859693e-05 7.9719386e-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 0.009954958 0.00011625744 0.00034212903 0.00036538052 0.00043181336 0.00014947385 0.0011791826 0.00061450363 7.30761e-05 5.3146257e-05 4.982462e-05 9.3005954e-05 7.30761e-05 3.3216413e-05 3.9859693e-05 3.653805e-05 0.032193348 0.00034545068 0.0033581792 0.00053810584 0.0015013817 0.0009367028 0.008696057 0.0043546716 0.00023915817 0.00030226936 0.00022254996 0.00021258503 0.0003620589 0.00019597683 0.0004517432 0.00051153277 0.01973055 0.00024912308 0.0016807504 0.00036538052 0.002248751 0.001750505 0.003999256 0.001610996 0.00044509993 0.00018601191 1.6608206e-05 2.989477e-05 0.0006543633 1.9929847e-05 2.3251489e-05 0.0010031356 0.01020076 0.00013950893 0.0015611714 0.00014283057 0.0009300595 0.0006045387 0.0027702488 0.0018501541 0.00087026996 0.00012622237 1.9929847e-05 0.00022919325 0.000259088 0.00013618729 0.00031555592 0.00025244473 0.0080184415 0.00029562606 0.00025576638 0.00040524022 0.0005347842 0.0005214977 0.00031887754 0.0003388074 0.0003620589 0.00024580144 0.00034877233 0.0004683514 0.0005812872 0.00031223428 0.00021922831 0.0003786671 0.011735358 0.00027569622 0.0015412415 0.0012655453 0.0020926339 0.0009865274 0.0032718165 0.0020328443 0.00082708866 0.00027569622 0.0002923044 0.0005812872 0.0007573342 0.0003388074 0.00040191857 0.0005347842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019132653 5.978954e-05 0.0005148544 0.0007739424 0.0005015678 0.0003952753 0.00056800066 0.0003620589 0.00027237457 0.00011957908 9.6327596e-05 0.00032884246 0.00047499468 0.00021258503 0.00011957908 8.968431e-05 0.017963436 0.003295068 0.005098719 0.0037733843 0.0070850607 0.0054408484 0.00325853 0.0037335246 0.010579427 0.0029396524 0.0028632546 0.0029496173 0.004992427 0.003424612 0.0050455728 0.0059922407 0.042586762 0.039424557 0.037434895 0.03845464 0.041885894 0.042855814 0.036680885 0.037693985 0.038149048 0.037717234 0.040431015 0.03750465 0.04133118 0.040118784 0.037674055 0.03590694 561.0 7.087344 3976.0 0.012072435 0.010814889 0.0060362173 0.008802817 0.009557344 0.0045271628 0.0070422534 0.004275654 0.009557344 0.005784708 0.0045271628 0.0075452714 0.009305835 0.0045271628 0.009808853 0.0138329975 0.03420523 0.009305835 0.011066399 0.008048289 0.014336016 0.008299799 0.008299799 0.010311871 0.012575453 0.0077967807 0.0065392354 0.0060362173 0.005784708 0.0045271628 0.0045271628 0.0077967807 0.005784708 0.010814889 0.0062877266 0.016348088 0.012323944 0.008048289 0.009557344 0.008299799 0.008551308 0.013078471 0.0072937626 0.0067907446 0.012575453 0.0072937626 0.009305835 0.013078471 0.012072435 0.0072937626 0.012072435 0.018863179 0.009557344 0.011317908 0.009305835 0.012575453 0.009557344 0.008802817 0.008802817 0.005784708 0.0100603625 0.0077967807 0.0077967807 0.0090543255 0.008048289 0.019114688 0.0077967807 0.013581489 0.01056338 0.032193158 0.011317908 0.01056338 0.0138329975 0.020372234 0.008802817 0.010814889 0.018108651 0.011820925 0.017605634 0.02087525 0.012323944 0.004275654 0.019617707 0.012323944 0.02917505 0.011569416 0.005784708 0.0090543255 0.0100603625 0.008048289 0.0060362173 0.0032696177 0.0055331993 0.0065392354 0.005784708 0.011569416 6.424303 0.0 0.0 0.0 4.0 151552.0 159744.0 1.0 0.0 44.0 1.0 1.0 0.0 0.0 0.0 1542302500.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 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 -7.9402575 0.0 0.0 0.0 0.0 0.0 5.14579 0.0 0.0 5.959263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5499068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7505155 0.0 4.123698 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100333.0 0.0 0.0 0.0 0.0 0.0 2398.0 0.0 0.0 352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9368.0 0.0 16704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 17352.0 16704.0 135168.0 0.0 0.0 0.0 0.0 352.0 155648.0 56.0 16608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212.0 16384.0 64.0 83328.0 0.0 0.0