Input: 0.009044468 0.004040729 0.0039080097 0.0039247996 0.00397317 0.003883425 0.0038662355 0.0038928192 0.0039883605 0.0038906205 0.0039523826 0.0038504452 0.003862038 0.003865236 0.0039034127 0.0038984157 0.003832456 0.0039154054 0.0038964169 0.0038282587 0.003917404 0.0039657746 0.0038070716 0.003798277 0.0038664353 0.003857241 0.0038698332 0.0038426497 0.0038660355 0.0038748302 0.0039004146 0.003850845 0.0039645755 0.0038430495 0.0039283973 0.003819464 0.0038908203 0.0038744304 0.0038414507 0.0038788277 0.003832456 0.0038256603 0.0038368534 0.0038444488 0.00390821 0.0038100698 0.0038916199 0.0038432495 0.0038708325 0.0038128681 0.003852044 0.003948585 0.0038692337 0.0038402514 0.0038302573 0.0037830863 0.0038312569 0.0038748302 0.0038514445 0.0038802268 0.003852044 0.003893019 0.0038552422 0.0038858235 0.004093896 0.0038966169 0.0038852238 0.0038700332 0.003886223 0.004013745 0.00390821 0.0039152056 0.0039086095 0.0039014139 0.0038218626 0.0038316566 0.0038730314 0.0038976162 0.003889821 0.0038510447 0.0040217405 0.0038230617 0.0038426497 0.0039018136 0.003899415 0.0038976162 0.0039455867 0.003870233 0.0038502451 0.0038550422 0.0038648362 0.0038514445 0.0038420502 0.0038760295 0.0038920196 0.0038088704 0.0038818258 0.0038760295 0.0038542429 0.0038942182 0.0039563803 0.0040275366 0.0039669736 0.0038870226 0.0038740307 0.003912207 0.0039026132 0.0038660355 0.0039130067 0.0038452481 0.0039242 0.0038936187 0.0039417893 0.0038628376 0.0039265985 0.003938591 0.00397337 0.0039753686 0.003855442 0.003876629 0.003836054 0.003848646 0.0038446486 0.003879827 0.003848646 0.0039363927 0.0038516442 0.0038890215 0.0039433884 0.003866835 0.003930596 0.0039152056 0.0038648362 0.003919603 0.003785085 0.0039170044 0.0038396516 0.0039381916 0.0038222624 0.0040251384 0.0038756297 0.003935193 0.0038004757 0.003838852 0.003958179 0.00385844 0.003893019 0.003834055 0.0038526438 0.0038788277 0.0038322562 0.0038404511 0.003901214 0.003886423 0.0038462477 0.0037996762 0.0038580403 0.0038420502 0.003899615 0.0038792274 0.0037940796 0.003909609 0.0038320564 0.0037786888 0.0038666353 0.0038446486 0.0038444488 0.0038450484 0.0038950178 0.003886423 0.003860639 0.0038564415 0.0039188033 0.003868234 0.0038412507 0.0038500454 0.00390781 0.0038188645 0.0038680343 0.003905811 0.003898016 0.0039120074 0.00390821 0.0038510447 0.0038906205 0.0038778284 0.0038452481 0.003838852 0.0038622378 0.0038688339 0.0038448486 0.003834255 0.0039317952 0.003906211 0.0038384525 0.0038666353 0.003847447 0.0038664353 0.0038894212 0.0039168047 0.003886223 0.003881626 0.003847447 0.0038528435 0.0039839633 0.003852044 0.0038304573 0.0038846242 0.0038976162 0.003845848 0.003880027 0.0038168656 0.0038518442 0.0038724316 0.0038514445 0.0038824256 0.0038712323 0.0038968166 0.0038372532 0.0039064107 0.0039006143 0.0038888217 0.0038378527 0.0038700332 0.003932995 0.0039048118 0.0038922196 0.003817865 0.0038118686 0.003919603 0.0038598394 0.0038872226 0.0039719706 0.0039232005 0.003893219 0.003915805 0.0038890215 0.0038760295 0.0038768288 0.0038392518 0.0038888217 0.0039084097 0.0038730314 0.0038762293 0.0039623766 0.0038300576 0.0038804268 0.003906611 0.003928597 0.0038624378 0.0039108084 0.0038448486 0.003949984 0.0038404511 0.0038264596 0.005359722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003490151 2.3994164e-06 2.899295e-06 6.4984197e-06 6.1984924e-06 2.599368e-06 2.4993922e-06 1.4996352e-06 8.997812e-06 2.899295e-06 5.8985656e-06 2.9992705e-06 3.2991977e-06 2.1994651e-06 6.0985167e-06 3.499149e-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 0.00090428005 1.4196547e-05 2.8693023e-05 1.1397228e-05 2.969278e-05 3.2192173e-05 4.2989544e-05 2.6593532e-05 3.9790324e-05 2.599368e-06 2.899295e-06 4.3989303e-06 7.0982737e-06 4.498906e-06 7.0982737e-06 7.0082955e-05 0.001529628 2.2494529e-05 9.0977876e-05 3.8590613e-05 5.4086846e-05 5.1487477e-05 0.00016625956 8.847848e-05 5.0387745e-05 5.8985656e-06 6.698371e-06 8.897836e-06 1.229701e-05 8.098031e-06 1.829555e-05 9.967576e-05 0.0003055257 7.998055e-07 4.328947e-05 1.229701e-05 3.8090737e-05 2.8792998e-05 0.00012027075 6.518415e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005135751 8.397958e-06 3.689103e-05 2.1694725e-05 7.448188e-05 5.418682e-05 0.00025213868 0.00013916615 3.1192412e-05 5.09876e-06 1.229701e-05 2.2494529e-05 7.2982252e-06 5.79859e-06 9.297739e-06 3.449161e-05 0.00036051232 7.598152e-06 3.2991975e-05 3.4891513e-05 5.4486747e-05 2.459402e-05 9.307736e-05 5.748602e-05 1.2796888e-05 1.02974955e-05 1.06973985e-05 4.328947e-05 2.1394797e-05 5.698614e-06 9.197763e-06 3.9990275e-05 0.0004965792 2.4893945e-05 2.5393825e-05 2.6693508e-05 6.618391e-05 3.639115e-05 8.4279505e-05 6.838337e-05 4.938799e-05 4.5588913e-05 4.958794e-05 7.7981036e-05 8.2579914e-05 5.438677e-05 7.298225e-05 0.0003767084 0.0005460672 2.6593532e-05 2.339431e-05 4.6688645e-05 2.6493557e-05 2.3794213e-05 7.0282906e-05 5.9485534e-05 7.468184e-05 9.637656e-05 7.0882765e-05 0.0001130725 0.00015236295 0.0001615607 0.00014916372 0.00061135134 0.00011557189 1.0597422e-05 1.0097544e-05 2.1694725e-05 2.8693023e-05 8.797861e-06 2.6693508e-05 1.5096329e-05 3.379178e-05 1.5096329e-05 6.5983954e-06 1.229701e-05 2.9392852e-05 1.2496961e-05 1.45964505e-05 4.7988327e-05 0.0011739145 0.00025923696 0.00014736416 0.00025453808 0.0005162744 0.0004272961 0.0002652355 0.0003236213 0.0004990786 0.00013206789 8.807858e-05 9.807615e-05 0.00025513794 0.00011817126 0.0002981275 0.00067203655 0.061377574 0.06151544 0.061395768 0.0612619 0.06155323 0.06135608 0.061354578 0.061446156 0.06142146 0.06154723 0.061443157 0.06155663 0.06151604 0.061541833 0.06163491 0.061697993 23261.0 5.73505 133403.0 0.010531997 0.010097224 0.010164689 0.009917318 0.00989483 0.009954799 0.00989483 0.010232153 0.010254642 0.010517005 0.0101047205 0.009984783 0.010397067 0.009887334 0.011034234 0.01065943 0.009962294 0.0103370985 0.010434548 0.010202169 0.010082232 0.0098723415 0.010209666 0.009842358 0.010779368 0.00993231 0.010292122 0.009887334 0.0103370985 0.009842358 0.010134704 0.009782389 0.010434548 0.010419556 0.0101721855 0.010344595 0.010989258 0.010464532 0.01041206 0.010749384 0.010359587 0.011394046 0.010224658 0.010134704 0.010217162 0.010734391 0.010022263 0.010434548 0.010741888 0.009827365 0.010164689 0.010801856 0.010861824 0.010179681 0.010487021 0.010651934 0.010382076 0.009857349 0.010044752 0.010419556 0.010142201 0.010531997 0.010187177 0.009737412 0.010284626 0.011206645 0.01041206 0.01079436 0.01131159 0.013260571 0.010464532 0.010014767 0.010044752 0.011146676 0.010014767 0.010284626 0.011618929 0.01083184 0.011379055 0.011663905 0.011124187 0.009632467 0.011603937 0.01127411 0.011828819 0.010711903 0.010561981 0.010097224 0.010112217 0.010696911 0.009594986 0.010479525 0.0098723415 0.009707428 0.01041206 0.0095724985 6.5828557 0.0 0.0 0.0 82.0 5003058.0 3731456.0 0.0 0.0 169.0 0.0 1.0 0.0 0.0 0.0 1451424900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 6.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 29696.0 1024.0 4096.0 5.0 1.0 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 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 -29696.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.476342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8968879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5173216 0.0 4.8254986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3215360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29264.0 0.0 39108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 0.0 160.0 44156.0 39108.0 3690496.0 0.0 0.0 13016.0 7362280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.009730797 0.0076251677 0.006758209 0.0068275435 0.007849405 0.0056161117 0.0073431516 0.0053533553 0.007917915 0.0053019044 0.006197753 0.005295026 0.0070173885 0.0047887727 0.005708558 0.004954956 0.0077803456 0.004515561 0.0049629346 0.004311959 0.006045877 0.0038976015 0.0052039553 0.004329568 0.0062415 0.0041488023 0.0044522793 0.0040142597 0.0054452512 0.0036576814 0.004242349 0.00403407 0.006994552 0.004689173 0.0041906233 0.0040238895 0.0054713893 0.0041212887 0.0041911732 0.0036774913 0.004895526 0.0039163106 0.003660983 0.0041741147 0.0046701883 0.0038711883 0.0038998025 0.0034901225 0.0056551816 0.003199302 0.0041394476 0.0034064807 0.005024566 0.003221588 0.003888797 0.0033467757 0.0048369216 0.0037088569 0.0033467757 0.0039804177 0.00482289 0.0032155348 0.0034097822 0.0034997521 0.006439324 0.0049164365 0.0045769163 0.004240698 0.004340298 0.0037913984 0.0042585824 0.0036739144 0.005530269 0.0039435495 0.0038040546 0.003790848 0.0043614837 0.0040194876 0.003778742 0.0034361954 0.0054075574 0.0038238645 0.0040172865 0.0043812934 0.0038651351 0.00347554 0.0042836196 0.004077817 0.004711459 0.003259557 0.0035660604 0.0034320683 0.004037922 0.0033453999 0.0035396472 0.0038051552 0.00523312 0.003926491 0.0029668105 0.0028350195 0.0040599327 0.002989922 0.0032458 0.0028518029 0.004484745 0.0040470012 0.0036076063 0.003063659 0.0039154855 0.0033308177 0.0032039792 0.0031684863 0.0048886477 0.0027940238 0.0035349699 0.002746425 0.0048388476 0.0045183124 0.0034177613 0.003201778 0.0040734145 0.0032749646 0.0027640339 0.0028837188 0.003906681 0.0032067306 0.0034139093 0.0035825686 0.006127593 0.0049747657 0.0043097576 0.0046564313 0.0047381474 0.003977116 0.004212359 0.0034240894 0.004348002 0.0043191123 0.0034758153 0.004538122 0.0037039043 0.0043650605 0.0032213128 0.0027527532 0.0050485027 0.0032218632 0.0036045797 0.0028966502 0.003421338 0.0029731386 0.0033500772 0.003049902 0.0032664353 0.0028908723 0.0032226886 0.002750552 0.0031068556 0.0025948242 0.0036466757 0.0028097068 0.004188422 0.003307431 0.0029695618 0.0026036287 0.003912734 0.003239472 0.003405655 0.0027389964 0.0033357702 0.002964334 0.0024781658 0.0025276905 0.0032878963 0.0029844192 0.0028097068 0.0025351192 0.004655881 0.0028573056 0.002720287 0.0026669102 0.0037814933 0.0029533287 0.0033068806 0.0030006524 0.0038266159 0.0029459 0.00288592 0.002847951 0.003417486 0.0027290913 0.0031131837 0.0033599823 0.0056829704 0.0045103333 0.004298477 0.0038522037 0.0035795423 0.002566485 0.0036453002 0.0031052048 0.004278117 0.0033610829 0.002918111 0.0029252646 0.002844099 0.002730192 0.0026685612 0.0034348196 0.004505106 0.0031569307 0.0037982767 0.0033341192 0.0034100574 0.0024190112 0.0032788166 0.0027450493 0.0042030043 0.0031239141 0.0033178863 0.0032182862 0.0035258904 0.0028911475 0.0031368455 0.003131893 0.005137097 0.0035041545 0.0029384713 0.002732393 0.0039163106 0.0024074554 0.002341147 0.002886195 0.0037272912 0.0038700877 0.0026080308 0.004555731 0.0033630088 0.0028669355 0.0028212625 0.0029095816 0.004985496 0.0029436988 0.0026476507 0.0027772405 0.0033800674 0.0024363447 0.0030421983 0.0030785163 0.004374415 0.0024058046 0.0026955246 0.002690572 0.0034639842 0.002568411 0.003401803 0.011449307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004520868 7.569185e-06 1.513837e-05 6.330591e-06 3.991025e-06 4.2662678e-06 7.706807e-06 5.2296186e-06 1.2248318e-05 6.605834e-06 3.5781602e-06 2.8900524e-06 3.302917e-06 3.4405386e-06 1.2936425e-05 1.6376964e-05 0.00021895589 3.4405386e-06 1.0046373e-05 2.4771878e-06 1.513837e-06 1.513837e-06 3.4405386e-06 1.3762154e-06 1.10097235e-05 1.7890801e-06 3.991025e-06 1.7890801e-06 2.064323e-06 2.2019447e-06 7.844428e-06 8.394914e-06 0.00039965298 1.0459237e-05 1.2936425e-05 7.1563204e-06 5.780105e-06 7.98205e-06 6.605834e-06 9.083022e-06 2.1881826e-05 6.4682126e-06 5.780105e-06 8.394914e-06 1.073448e-05 8.257292e-06 1.156021e-05 3.096485e-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 0.00014959462 5.9177264e-06 1.7890801e-06 1.1009723e-06 2.3395662e-06 4.816754e-06 7.018699e-06 2.8900524e-06 3.4405386e-06 4.128646e-06 6.1929695e-06 8.394914e-06 4.2662678e-06 9.220644e-06 1.1422589e-05 5.9314887e-05 0.00011229918 8.257293e-07 1.2798804e-05 1.3762155e-05 1.5275991e-05 9.633508e-06 6.3443535e-05 3.481825e-05 1.2385939e-06 7.844428e-06 8.257293e-07 5.5048616e-07 4.1286464e-07 2.8900524e-06 4.9543755e-06 2.7524308e-07 0.00063938973 4.871803e-05 3.3579658e-05 3.9497383e-05 3.38549e-05 4.0460734e-05 8.9178764e-05 6.303067e-05 2.9451012e-05 3.536874e-05 4.5965597e-05 5.4360513e-05 4.1011222e-05 3.5093493e-05 2.5322364e-05 0.00015496186 0.00041726854 7.101272e-05 1.8303666e-05 1.5551235e-05 2.394615e-05 5.601197e-05 5.8351536e-05 2.5184743e-05 3.5919224e-05 3.5231114e-05 6.7159315e-05 6.867315e-05 4.885565e-05 0.0001354196 4.9406135e-05 0.0002829499 0.0005127779 0.0001449155 8.4086765e-05 6.234256e-05 6.8810776e-05 6.894839e-05 7.0599854e-05 4.8305163e-05 6.4131644e-05 5.2158568e-05 8.2985796e-05 9.950038e-05 9.9362755e-05 0.00011463875 0.0001066567 0.00029272103 0.0011641406 0.0005970023 0.00040144206 0.0003825879 0.00031859387 0.00028267465 0.00024372776 0.00023877338 0.00028418849 0.00025281077 0.0002766193 0.00032217204 0.0003059327 0.00037391775 0.00043653554 0.0008832551 0.10014142 0.07640638 0.06935865 0.062180717 0.06843864 0.062555596 0.056380797 0.056624524 0.066692226 0.051452156 0.048797436 0.050503116 0.055882607 0.052515555 0.05192571 0.056615714 21534.0 5.808396 125078.0 0.018484466 0.011240985 0.01038552 0.009961784 0.01453493 0.009737924 0.010273589 0.009506068 0.013839364 0.009578023 0.009082332 0.009865844 0.012935928 0.009849854 0.010321559 0.008410752 0.015790148 0.008098946 0.010985145 0.008770527 0.013215753 0.007939046 0.009386143 0.008290826 0.01415117 0.011113065 0.008786517 0.010145669 0.013799389 0.008538672 0.008834487 0.009633988 0.017445114 0.013303698 0.011304946 0.011081086 0.012240362 0.009713938 0.011256976 0.009610004 0.016221877 0.01017765 0.010081709 0.009865844 0.0114488555 0.010761285 0.01068933 0.009578023 0.015822127 0.010265594 0.010665345 0.012552167 0.010889205 0.008898447 0.01048146 0.011488831 0.014079215 0.008674587 0.009162283 0.009130303 0.011312941 0.007923056 0.009058348 0.009777899 0.014007259 0.01038552 0.0076592206 0.0077071907 0.011872591 0.008003006 0.0083308015 0.007075585 0.011888581 0.010601385 0.009737924 0.008482707 0.0107373 0.008250851 0.008698572 0.008610627 0.0132397385 0.0068916995 0.010193639 0.007811126 0.015198516 0.011968532 0.008306816 0.007747166 0.010433489 0.007883081 0.006699819 0.0068517243 0.010153664 0.0077071907 0.008538672 0.007875086 6.548866 3.0 0.0 0.0 53.0 3634543.0 9891840.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1347837300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 3530752.0 1024.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3527168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.937795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4606647 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6332416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3530752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 8000976.0 928.0 9887236.0 19972.0 9867264.0 0.0 0.0 0.0 0.0 24.0 9888164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 9863476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056589473 0.008293062 0.0061652577 0.0056524337 0.0057527237 0.0049555725 0.0041915067 0.005411531 0.005048625 0.0056327893 0.003754159 0.004461359 0.004949369 0.003180334 0.0043310854 0.0046371254 0.0050320826 0.0037603625 0.0049297246 0.004152218 0.004351764 0.0031824019 0.004106725 0.0038399743 0.0050703376 0.003347829 0.0031606895 0.0029301257 0.0041532516 0.0034470852 0.0037820747 0.0037862104 0.00615802 0.0038141261 0.0034760348 0.0030231783 0.0048863 0.0041666925 0.0038399743 0.003726243 0.0047312123 0.0038854666 0.0033364557 0.00310279 0.0043817475 0.0037293448 0.0037231413 0.00358563 0.0055200923 0.003953705 0.0031058919 0.002900142 0.003676615 0.0030769422 0.0026923243 0.0028670568 0.0041635907 0.0033116417 0.0035153236 0.0033374897 0.004007469 0.0032289282 0.0035029168 0.0034708653 0.0066005373 0.0039412985 0.0036207833 0.0032227247 0.0041718623 0.0032134193 0.003549443 0.0030666029 0.0049989973 0.0037727696 0.003715904 0.0035928676 0.0041212 0.003141045 0.0035577144 0.0034574242 0.0051582204 0.0036269869 0.003650767 0.0033281844 0.003933027 0.0033871178 0.003371609 0.0035391038 0.0046464307 0.0036466315 0.0038058548 0.0035060185 0.004111895 0.0033819482 0.0036983273 0.0037893122 0.0059057437 0.003640428 0.0033561003 0.002966313 0.0040054014 0.0030552298 0.0032764885 0.003028348 0.004974183 0.003166893 0.0031896394 0.0030469585 0.0035773588 0.0028443104 0.0030872812 0.0031958427 0.0045099533 0.0032919974 0.003216521 0.003142079 0.0038813308 0.0033385237 0.0032899294 0.003639394 0.0046257526 0.0033054382 0.003499815 0.0031751643 0.0040364186 0.003206182 0.0034739668 0.0033374897 0.008638391 0.004584396 0.004025046 0.0035194594 0.0043579675 0.0034408816 0.0030221445 0.0033912535 0.0045347675 0.0038348045 0.0029528718 0.003194809 0.003726243 0.0027926145 0.0028546497 0.002989059 0.0052388664 0.0032185891 0.0034956792 0.0030304159 0.0036600723 0.003180334 0.0033116417 0.0032671832 0.0045337337 0.002837073 0.0030355854 0.002709901 0.0035173916 0.0032382335 0.0029973304 0.0031482826 0.0050072684 0.0034067621 0.0032785563 0.0028060554 0.0037686338 0.0030107715 0.0030510942 0.0031917072 0.004136709 0.0029973304 0.0031245025 0.0030211105 0.0036486993 0.0028319035 0.0029187526 0.0030469585 0.0046619396 0.0031100276 0.003841008 0.002863955 0.003576325 0.0031648253 0.0029942286 0.0031234685 0.0042421687 0.0031493164 0.0033374897 0.003168961 0.0036528348 0.0031844696 0.0033292184 0.003357134 0.0067132344 0.004059165 0.003728311 0.0033529985 0.004120166 0.0032547761 0.0033106077 0.003233064 0.0043207463 0.0033271506 0.0031141632 0.0030862475 0.0036466315 0.0029921609 0.003080044 0.0028008858 0.0042401007 0.0032775225 0.003090383 0.0029859573 0.0037065987 0.003015941 0.0029477023 0.0029446005 0.00397335 0.0031079596 0.0027316133 0.0026395945 0.0035391038 0.0029487363 0.0035783928 0.002889803 0.0049431655 0.003230996 0.0033922873 0.0029756182 0.0038130924 0.003080044 0.0032123856 0.0029228884 0.004443783 0.005437379 0.0034656955 0.0031369096 0.0037831087 0.0030697046 0.0032454708 0.0032020463 0.0046112775 0.0033116417 0.0034181355 0.0030459247 0.003740718 0.0030831457 0.0033106077 0.0032423693 0.004353832 0.0030438567 0.0031834359 0.0028649888 0.0040157405 0.0030883153 0.0042328634 0.004507886 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 0.0045731706 0.00029410791 0.0002718427 0.00026304016 0.0003075706 0.00023818598 0.00032724682 0.00030912398 0.00032621121 0.00035365438 0.00032465783 0.0003531366 0.0005224558 0.00015482088 0.00018640641 0.0007383765 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 0.099137664 0.061986346 0.062449258 0.05533267 0.060601242 0.05956824 0.05497384 0.05452543 0.06045885 0.053186927 0.052157033 0.05297515 0.056453183 0.050547723 0.056667034 0.053836245 4035.0 5.703098 23012.0 0.01703459 0.010385886 0.009342952 0.008734574 0.013471233 0.012602121 0.0118199205 0.0114722755 0.012689032 0.00964714 0.008560751 0.008691118 0.013905788 0.010472797 0.0119068315 0.010038241 0.016730402 0.011950287 0.008691118 0.007604728 0.009777508 0.00847384 0.0077785505 0.008386929 0.010255519 0.008430384 0.009603685 0.008821485 0.01142882 0.008951851 0.009560229 0.009256041 0.018077524 0.010907353 0.01034243 0.009169129 0.011081175 0.00886494 0.010646619 0.008256562 0.014166522 0.0115591865 0.009734052 0.008908396 0.011385364 0.009342952 0.0116460975 0.009516774 0.014731444 0.009603685 0.00995133 0.009038762 0.012037198 0.009429863 0.009603685 0.009864419 0.013731966 0.009299496 0.010559708 0.009560229 0.011168086 0.009777508 0.010385886 0.010690074 0.017860247 0.010950808 0.00964714 0.008169651 0.013036677 0.008213107 0.009386407 0.008343473 0.0154267335 0.009299496 0.008908396 0.008647662 0.011298453 0.007908917 0.009907874 0.007908917 0.013123588 0.007908917 0.008734574 0.008778029 0.011385364 0.009386407 0.008082739 0.008082739 0.010950808 0.009038762 0.011993743 0.008691118 0.011515731 0.009038762 0.010125152 0.008734574 6.5547857 0.0 0.0 0.0 15.0 967194.0 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: 0.056638077 0.0082991505 0.0061705527 0.00564901 0.0057535255 0.004966038 0.004203385 0.0054172133 0.0050477874 0.0056200353 0.0037449657 0.004470365 0.0049525853 0.0031716828 0.004321353 0.0046328297 0.005048822 0.0037573834 0.0049298196 0.004172341 0.0043513626 0.003180996 0.0041050785 0.0038380984 0.005076762 0.0033486346 0.0031696132 0.002929538 0.004140262 0.0034334888 0.0037853231 0.003790497 0.0061715874 0.0038215413 0.0034904033 0.0030268098 0.0048842877 0.0041692364 0.0038432723 0.0037201303 0.0047311364 0.0038950127 0.0033403563 0.0031033854 0.004369989 0.0037201303 0.0037263392 0.0035752573 0.005510346 0.003952962 0.0030940722 0.0028891806 0.0036745989 0.003084759 0.0026811843 0.00286538 0.004177515 0.0033113817 0.0035142037 0.0033517391 0.0040088412 0.003234806 0.003497647 0.0034572894 0.0065999976 0.0039467528 0.0036238933 0.0032327364 0.004155784 0.003218249 0.0035380044 0.003064063 0.0050043254 0.0037687663 0.0037087474 0.0035804315 0.004140262 0.0031282208 0.00356077 0.003465568 0.0051605813 0.0036269976 0.003646659 0.003335182 0.003926057 0.0033807138 0.0033641567 0.0035380044 0.0046473173 0.0036445893 0.0038029149 0.00350696 0.0041050785 0.0033807138 0.00369426 0.0037894624 0.0059087467 0.0036332065 0.0033403563 0.0029512688 0.004005737 0.0030495755 0.0032658502 0.0030340534 0.004971212 0.0031582303 0.0031975529 0.0030537148 0.0035752573 0.0028529624 0.0030868286 0.0031934136 0.004524175 0.0032813721 0.0032265275 0.0031344297 0.0038846645 0.0033331127 0.0032896507 0.0036290672 0.0046286904 0.0032906856 0.0034779855 0.0031696132 0.004033677 0.003192379 0.003469707 0.0033455302 0.008634428 0.0045986813 0.0040181545 0.0035214473 0.0043689543 0.0034334888 0.0030164616 0.0033941662 0.004540732 0.0038370634 0.0029678259 0.003191344 0.0037284088 0.0027981175 0.0028395099 0.0029854176 0.005221635 0.0032120403 0.003497647 0.0030288794 0.0036704596 0.0031820307 0.0033051728 0.0032658502 0.0045448714 0.0028364053 0.0030537148 0.0027018804 0.003513169 0.003228597 0.002983348 0.0031551258 0.005019848 0.003422106 0.0032679196 0.002806396 0.00377601 0.0030185312 0.0030475059 0.003180996 0.004133018 0.0030009395 0.003138569 0.0030174966 0.0036518332 0.002832266 0.0029212595 0.003037158 0.004664909 0.0031126987 0.0038412027 0.0028550318 0.003566979 0.003165474 0.002988522 0.0031251165 0.0042551253 0.0031478822 0.0033331127 0.0031737522 0.0036601115 0.0031996225 0.0033403563 0.0033455302 0.0067086522 0.004058512 0.003721165 0.0033393214 0.004128879 0.003255502 0.0032948246 0.0032306667 0.004328597 0.0033279385 0.0031178729 0.003084759 0.0036497635 0.0029864523 0.0030775154 0.002800187 0.004245812 0.003277233 0.0030971766 0.0029978352 0.0037139214 0.0030164616 0.0029419556 0.002950234 0.003977797 0.0031044204 0.0027246461 0.0026387572 0.0035359347 0.0029512688 0.003587675 0.0028891806 0.004958794 0.0032513628 0.0033879573 0.0029698955 0.0038111934 0.0030713065 0.0032037618 0.0029088417 0.0044424254 0.005452397 0.0034676373 0.0031364993 0.0037936016 0.0030826894 0.0032544672 0.003180996 0.00460696 0.003315521 0.003410723 0.003036123 0.003743931 0.0030961419 0.0033186253 0.0032503281 0.0043503274 0.0030444015 0.0031841004 0.00286538 0.0040036673 0.0030920026 0.004226151 0.0045117573 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099164635 0.062022604 0.062461123 0.0553204 0.06060856 0.05954543 0.05495652 0.05447498 0.060467567 0.053170823 0.052160047 0.05298318 0.05641618 0.05056406 0.056658767 0.05382342 4040.0 5.702475 23038.0 0.017275805 0.010547791 0.009462627 0.008724716 0.013456029 0.012457679 0.011849987 0.011459328 0.012631305 0.009723066 0.008594496 0.008681309 0.013846688 0.0105043845 0.011763174 0.009853286 0.016668113 0.0119368 0.008637902 0.007465926 0.00980988 0.008681309 0.007856585 0.00842087 0.010287351 0.008551089 0.009592847 0.008898342 0.011459328 0.0090719685 0.00954944 0.009202188 0.01810053 0.010808229 0.010330758 0.009028561 0.010808229 0.008854935 0.010721417 0.00829065 0.014237347 0.011676361 0.0097664725 0.008985155 0.011502734 0.009332407 0.011632955 0.009636253 0.014714819 0.009679659 0.009896693 0.0090719685 0.01206702 0.009375813 0.00954944 0.009723066 0.013629655 0.009289001 0.0105043845 0.009592847 0.011155482 0.009853286 0.010330758 0.01067801 0.017883496 0.010981856 0.009636253 0.008160431 0.013021964 0.008203837 0.009332407 0.00829065 0.015365917 0.009245594 0.008854935 0.008637902 0.011329109 0.008160431 0.009983505 0.007813178 0.013238996 0.0079868045 0.008681309 0.008724716 0.011415921 0.009506034 0.0083340565 0.008030211 0.011068669 0.008854935 0.0119368 0.008507683 0.011242296 0.008985155 0.010070318 0.008768123 6.554864 0.0 0.0 0.0 14.0 966364.0 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: 0.12317447 0.008577962 0.009820719 0.0074271257 0.006923405 0.007162397 0.004042636 0.003750331 0.011307983 0.0021343795 0.002071874 0.0016950025 0.0063369563 0.0031344676 0.001919287 0.0074234493 0.007191811 0.0015699915 0.0014780716 0.0017115481 0.004516943 0.0026068476 0.0014486572 0.0011361296 0.0039966763 0.0015185163 0.0011195841 0.0014008589 0.003334853 0.0013346766 0.0013935053 0.0014284349 0.00430185 0.0010589169 0.0014596876 0.0013879901 0.016753316 0.0024983822 0.001364091 0.0011085537 0.00258111 0.003939686 0.005073977 0.005629173 0.002492867 0.0013401918 0.0013309998 0.0012703327 0.0041511017 0.0025351502 0.0022171075 0.006853546 0.0033366915 0.00481844 0.002700606 0.0026123628 0.003932332 0.0034304496 0.002446907 0.0050298558 0.002983719 0.0024303615 0.0023641791 0.002700606 0.0042797895 0.0021288644 0.0017078713 0.0018898726 0.009462232 0.018450158 0.003014972 0.014131762 0.0026197163 0.0013530606 0.0015350619 0.0011857664 0.0038900492 0.0061292173 0.0014560109 0.001641689 0.007118275 0.002840324 0.0015093243 0.0030057798 0.002571918 0.0045077507 0.0033422066 0.0032962468 0.00209945 0.0040242523 0.0015571227 0.0016858105 0.003932332 0.005803821 0.0028807689 0.0022226225 0.002807233 0.0022832898 0.0015718299 0.0018549431 0.0033256612 0.0038183515 0.0027631114 0.0013015855 0.0033477219 0.0015626379 0.0053883432 0.002950628 0.002395432 0.0012409183 0.0016527193 0.001974439 0.0025884637 0.0010828162 0.0027355354 0.002196885 0.008680913 0.008708489 0.0018108216 0.0016030826 0.0022979968 0.0014670412 0.0012225343 0.0015405772 0.002132541 0.0025590493 0.0017630232 0.0018843574 0.003649219 0.0016104362 0.0012096656 0.0095376065 0.003658411 0.011846634 0.0012335647 0.0011508368 0.0022630673 0.010655352 0.0015534459 0.027938128 0.0016802953 0.010995455 0.0011067153 0.0010901698 0.0016858105 0.001137968 0.001110392 0.0014413036 0.0015093243 0.0018953878 0.0011361296 0.000994573 0.0018475895 0.0015699915 0.0009559667 0.0009118452 0.0016214666 0.0025847869 0.0010589169 0.0013420301 0.0024101392 0.0017832456 0.0010442098 0.0015369003 0.0016582345 0.0017280936 0.0010203106 0.0009614819 0.001910095 0.0010442098 0.0010331793 0.0011526752 0.0017961144 0.000887946 0.0009908963 0.002123349 0.0020681971 0.0010000883 0.0010589169 0.0011361296 0.0025277967 0.0023991088 0.0020847428 0.0015516075 0.0032705092 0.0010846545 0.0011728976 0.001156352 0.001882519 0.0018457511 0.0015460923 0.0011784128 0.007585228 0.005520708 0.003783422 0.003548107 0.0039102715 0.001165544 0.0035995822 0.004915875 0.005895741 0.0030903462 0.0014633645 0.0012703327 0.0024487455 0.0013254846 0.0014192428 0.001156352 0.0029120217 0.001586537 0.0018181751 0.001364091 0.0023899167 0.001022149 0.0016545578 0.0011692208 0.003459864 0.0015810218 0.001461526 0.0015755066 0.012065403 0.01533775 0.002807233 0.0024616143 0.0051677353 0.0012464335 0.0012868783 0.0010552402 0.0030039416 0.0014780716 0.0012243728 0.0010901698 0.013423978 0.0043404563 0.0012832015 0.003750331 0.0052559786 0.0010699474 0.0010975233 0.0013126158 0.0046051857 0.0014118893 0.0014927788 0.0014247581 0.003195135 0.0017997911 0.0036841487 0.0022832898 0.005882872 0.0017225784 0.0014413036 0.0038257053 0.007958422 0.004143748 0.007956584 0.065281495 0.00754717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064480766 8.4758256e-05 6.725383e-05 0.00024690447 6.264741e-05 0.00021834463 6.725383e-05 5.1591982e-05 5.619841e-05 3.224499e-05 3.593013e-05 3.3166274e-05 4.3300413e-05 3.224499e-05 3.5008845e-05 3.224499e-05 0.0014814269 6.264741e-05 5.5277123e-05 4.606427e-06 6.0804836e-05 3.8693986e-05 9.949882e-05 5.619841e-05 5.5277123e-06 1.8425708e-06 2.7638562e-06 3.6851416e-06 9.212854e-07 9.212854e-07 9.212854e-07 1.1055425e-05 0.012453014 0.00028191332 0.0002330852 0.00011792453 0.0010981722 0.0003335053 0.00026809404 0.00026717276 0.00016859523 0.00022479364 0.00013082252 0.000103183964 9.581368e-05 0.00011239682 8.84434e-05 0.001004201 0.013522627 0.00040168042 0.00074716244 0.00069096405 0.0017117482 0.00018978478 0.00090285967 0.0005352668 9.949882e-05 0.00028467717 8.936468e-05 8.4758256e-05 7.186026e-05 9.857753e-05 6.725383e-05 0.0012566332 0.004308852 7.6466684e-05 8.752211e-05 0.0001446418 0.00040997198 0.00017965065 0.0006172612 0.00042563386 8.2915685e-05 6.541126e-05 7.923054e-05 8.4758256e-05 0.000106869105 0.00013358638 7.55454e-05 0.0006688532 0.010582805 0.00034456074 0.00076558813 0.00043116155 0.0015597361 0.00070846843 0.0032770121 0.0020719708 0.00034916715 0.00021650207 0.00035469487 0.0003602226 0.0003021816 0.00033258402 0.00028007076 0.0007047833 0.0074043707 0.00036390772 0.00039891657 0.0009360259 0.0010650059 0.00032429246 0.0011110702 0.00094339624 0.000371278 0.00027914948 0.00036759287 0.00043853183 0.00058870134 0.00043208283 0.00055829895 0.0013985112 0.012030144 0.0014215433 0.0016518647 0.018989535 0.002201872 0.0017485997 0.0017384655 0.0018646816 0.001743072 0.0017900575 0.0018609965 0.0018527049 0.0021152713 0.002328088 0.0022691258 0.004771337 0.011842202 0.0011884582 0.0017449145 0.0014740566 0.0028956 0.0020010318 0.0023934995 0.0023612545 0.008898695 0.0012630823 0.0009268131 0.0017854511 0.0028126843 0.0028762529 0.002725162 0.018848578 0.038462743 0.006989792 0.009480027 0.0066866893 0.016180536 0.011420254 0.0057912 0.009226673 0.026802955 0.003247531 0.002431272 0.0049638855 0.012029223 0.011871683 0.011042527 0.03846735 0.06550708 0.014808741 0.026824145 0.012466834 0.03686339 0.02397553 0.012496315 0.015320054 0.042185657 0.0045050853 0.005923865 0.006331994 0.023329709 0.025665168 0.019045733 0.0402224 0.014905476 0.0111530805 0.01153265 0.012376548 0.010795622 0.011284824 0.011369583 0.011142947 0.010535819 0.010891436 0.010856427 0.010931051 0.010642689 0.010857348 0.010927366 0.010929208 2156.0 10.296382 22199.0 0.01941529 0.0026577774 0.0050903196 0.0052254605 0.013108699 0.0037839543 0.005135366 0.005360602 0.0077030496 0.004729943 0.0039641424 0.005135366 0.0076129558 0.004369566 0.0065318258 0.0064867786 0.022118114 0.019640524 0.015946664 0.023064101 0.021036984 0.019775666 0.01833416 0.0192351 0.021802783 0.020045947 0.015991712 0.019460335 0.017928736 0.015811523 0.015991712 0.015946664 0.007207532 0.007342673 0.004144331 0.008603991 0.010541015 0.0056759315 0.0064867786 0.0077480967 0.007928285 0.0052254605 0.0035587188 0.004369566 0.008694085 0.0064867786 0.0045948015 0.006712014 0.013739358 0.005585837 0.007162485 0.011487004 0.009459886 0.005405649 0.0070273434 0.010676157 0.006802108 0.004729943 0.004099284 0.0052705077 0.007252579 0.0050903196 0.004865084 0.006576873 0.008423802 0.016757512 0.00662192 0.014865534 0.015406099 0.032569036 0.008558944 0.008198568 0.009820262 0.0149105815 0.00923465 0.004865084 0.017793594 0.008694085 0.015451146 0.021036984 0.010991486 0.005315555 0.021802783 0.01738817 0.030902293 0.011937475 0.0063516377 0.007883238 0.007793144 0.006171449 0.0050002253 0.0050002253 0.007297626 0.004729943 0.0037839543 0.0054506958 6.3364477 0.0 9.0 0.0 7.0 543952.0 557056.0 0.0 0.0 194.0 1.0 1.0 1.0 0.0 0.0 1540940500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 345600.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345600.0 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 -5.8680835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3125715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9711485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621152 0.0 5.4292016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345151.0 0.0 16064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -2.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 485884.0 16064.0 512000.0 0.0 0.0 5984.0 537968.0 20876.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 469736.0 0.0 0.0 808.0 352256.0 0.0 0.0 0.0 0.0


Input: 0.16130418 0.019821784 0.0067217224 0.006550031 0.0056486507 0.00707369 0.006301078 0.0021375592 0.007520088 0.0025667879 0.0029874323 0.002206236 0.002386512 0.00444681 0.0018285145 0.010198476 0.003579768 0.0012447634 0.0014507932 0.002446604 0.0021375592 0.008163931 0.0010473182 0.0014422087 0.002747064 0.0014593778 0.0007897809 0.0011760868 0.0016224848 0.0023950965 0.0011331639 0.0010043953 0.020869102 0.0009786416 0.0013563628 0.0008842113 0.016671246 0.007837717 0.00084128836 0.0006180894 0.0046013324 0.0025582034 0.0013220246 0.0020517134 0.0029874323 0.0014422087 0.0022749125 0.0018285145 0.009992446 0.0026783876 0.0016997459 0.0057087424 0.002283497 0.0010559028 0.0010043953 0.0008155347 0.0026440492 0.0019658678 0.005356775 0.004103427 0.0012962709 0.0016911613 0.0007897809 0.0009271341 0.00403475 0.011151363 0.0014679624 0.005090653 0.010601951 0.0057688346 0.0018628528 0.0018199299 0.042510815 0.007039352 0.00084987294 0.0015881464 0.010138383 0.0022920815 0.0018971912 0.0016654076 0.0037085365 0.0012962709 0.0019916215 0.0032449695 0.004017581 0.0033909073 0.0016997459 0.0024380193 0.002446604 0.0008927958 0.00131344 0.001476547 0.0038888126 0.0013048555 0.0014422087 0.0023779273 0.002043129 0.006180894 0.0013563628 0.007640272 0.009228419 0.015271959 0.0065156925 0.003013186 0.0030732779 0.0104731815 0.00091854954 0.0013992857 0.006635877 0.0032020465 0.009734908 0.00960614 0.004283703 0.0009786416 0.012481973 0.009975277 0.016010232 0.006584369 0.0015795619 0.0021718976 0.0029187556 0.0021633129 0.0009443033 0.0013306092 0.0016310693 0.00090996496 0.0010559028 0.00084128836 0.0022319895 0.0015623927 0.0023092506 0.009829339 0.0036226907 0.00504773 0.0022405742 0.0010559028 0.0021633129 0.012078498 0.0024551884 0.024277179 0.0012018406 0.012979878 0.00077261176 0.0005837511 0.0012876863 0.0005579974 0.00071251974 0.0005923357 0.0008670421 0.0006180894 0.00077261176 0.00084128836 0.0010043953 0.0008327038 0.0009357187 0.00077261176 0.0010988256 0.0005322437 0.0005923357 0.0005837511 0.001476547 0.0006953506 0.00084128836 0.00077261176 0.0007211043 0.0006953506 0.00057516654 0.0006524277 0.00091854954 0.00042064418 0.0006695969 0.0005923357 0.0008155347 0.00045498248 0.0007554426 0.00091854954 0.00096147245 0.0010129799 0.0007640272 0.0005923357 0.00084128836 0.0006524277 0.0009528879 0.0022319895 0.0025152806 0.0050305612 0.0035110912 0.0010215645 0.0009528879 0.0007296889 0.0008069501 0.0007983655 0.0066787996 0.002017375 0.0010043953 0.0036055215 0.0030475243 0.001090241 0.0017684225 0.0030990317 0.0017083305 0.0023607581 0.0007211043 0.0018542683 0.03715404 0.0012190096 0.0015452235 0.0017083305 0.0018285145 0.0010473182 0.0019744523 0.0008584575 0.0008241192 0.0009786416 0.0009013804 0.0009786416 0.0016139002 0.0009872261 0.00084128836 0.0012104252 0.00084987294 0.0007468581 0.0006180894 0.0006009203 0.0019916215 0.0008756267 0.000626674 0.0004893208 0.0007983655 0.0006953506 0.0006095048 0.0006781814 0.008249776 0.0036141062 0.0009872261 0.0034853376 0.0022405742 0.0009528879 0.0006695969 0.0008327038 0.002103221 0.0008670421 0.001193256 0.0006610123 0.0009528879 0.00071251974 0.0016396538 0.0016739921 0.0018971912 0.0011331639 0.0011159948 0.0008241192 0.0007382735 0.0011417485 0.0013907012 0.028809834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008614676 1.3078962e-05 4.359654e-06 4.7956193e-05 9.5912386e-05 6.539481e-05 0.0 0.0 1.7438617e-05 4.359654e-06 4.359654e-06 0.0 0.0 1.3078962e-05 0.0 4.7956193e-05 0.008344377 0.0001046317 4.7956193e-05 8.719308e-06 4.7956193e-05 5.231585e-05 4.7956193e-05 3.9236886e-05 2.6157924e-05 8.719308e-06 1.7438617e-05 8.719308e-06 4.359654e-06 3.0517578e-05 4.359654e-06 0.00013514927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013650076 0.0008414132 0.00023542132 0.0002092634 0.0002485003 0.0003313337 0.00039672852 0.00035749163 0.00014822824 0.00046648298 0.00015694754 0.00010899135 0.00014386859 0.00017438616 0.00018746512 0.00020054409 0.0065612793 0.00018746512 0.00018310547 0.00020054409 0.00021362305 0.00062343053 0.00019618442 0.00018310547 9.1552734e-05 5.66755e-05 7.411412e-05 0.00011771066 6.1035156e-05 7.411412e-05 5.66755e-05 4.7956193e-05 0.015437535 0.0015738352 0.00045776367 0.00062343053 0.0008370536 0.00089808874 0.0030386788 0.0019705635 0.00018310547 0.00048392158 9.5912386e-05 9.5912386e-05 0.00048392158 0.00020054409 0.00015694754 0.0002485003 0.012028285 0.0002485003 0.0058680945 0.0014168875 0.0037362236 0.0025721958 0.020346506 0.009033203 0.00035313197 0.00054495677 0.00028773717 0.00016566685 0.0054234094 0.00017438616 0.00015694754 0.00014386859 0.009290422 0.00014386859 0.01613508 0.003566197 0.006631034 0.0044686454 0.033238 0.016911099 0.00020490374 0.0001613072 0.00014386859 0.00019618442 0.015354701 0.00018746512 0.00019182477 0.00031825475 0.013663156 0.0017307827 0.0021841866 0.00097220286 0.0017743792 0.0020359585 0.003932408 0.0023498535 0.00113351 0.0006321498 0.00032697406 0.0004359654 0.0028642926 0.00046648298 0.000453404 0.0007585798 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11757987 0.018066406 0.030064175 0.021248953 0.07716588 0.016230991 0.015668597 0.02067348 0.06526838 0.0051749093 0.0051705497 0.01586478 0.037227087 0.009691511 0.019496372 0.034336634 0.036603656 0.008544922 0.011932373 0.012573242 0.017979214 0.0076686316 0.01589094 0.011744908 0.015559605 0.0035095215 0.0038277763 0.0049220496 0.008366176 0.004425049 0.0058768135 0.009146554 0.0064566475 0.002219064 0.0021754673 0.0028163365 0.0019051688 0.0019487654 0.0036577496 0.0026288715 0.002066476 0.0013776507 0.0015215193 0.0013776507 0.0013296945 0.0012904576 0.0012381418 0.0017046247 873.0 24.12142 21058.0 0.08277139 0.0011871973 0.0009022699 0.00023743945 0.005271156 0.026023364 0.00023743945 0.0005698547 0.011776997 0.011349605 0.00037990313 0.0011397094 0.008880235 0.0026593218 0.0075980625 0.005983474 0.014341343 0.007360623 0.0032766645 0.0035141038 0.002611834 0.0010447336 0.0012821731 0.00071231835 0.0027542976 0.0032291766 0.025073607 0.0009497578 0.0005698547 0.00075980625 0.0004748789 0.00018995156 0.0019470035 0.0184253 0.002136955 0.011064678 0.012536803 0.012679267 0.0028967613 0.0018045398 0.007835502 0.012489315 0.00018995156 0.0013296609 0.008642796 0.0019470035 0.004796277 0.0027068097 0.007408111 0.0009972457 0.0063158893 0.00764555 0.011112167 0.005508595 0.003941495 0.004036471 0.0018995156 0.00037990313 0.0018995156 0.0019470035 0.0025168583 0.003419128 0.0027542976 0.0040839585 0.0004748789 0.027495489 0.0032291766 0.030629689 0.037942823 0.0745085 0.013154145 0.012346852 0.007788014 0.049482383 0.0009497578 0.0033716403 0.026070852 0.012869218 0.047202963 0.04701301 0.013629025 0.0016620762 0.05902745 0.038275238 0.0501947 0.01305917 0.003894007 0.0076930383 0.0062209135 0.004321398 0.0014721246 0.0005223668 0.00018995156 0.00028492734 0.0004748789 0.00014246367 5.41953 1.0 37.0 0.0 1.0 116488.0 114688.0 1.0 0.0 83.0 1.0 1.0 1.0 0.0 0.0 1524492700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 6.0 0.0 89600.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -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 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 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 -86016.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4250591 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.901119 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.90356505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.197682 -6.4689016 0.0 3.2923403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -204.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3332.0 -85804.0 0.0 928.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 102908.0 928.0 106496.0 2184.0 98304.0 18696.0 97792.0 52.0 110592.0 28.0 4960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 832.0 4096.0 0.0 0.0 0.0 0.0