Input: 0.026086057 0.008134321 0.0067582563 0.0072058477 0.00785689 0.0055190576 0.00715406 0.0059074634 0.007990057 0.0050973604 0.0060887192 0.005089962 0.0071170693 0.0048199277 0.0055523496 0.005559748 0.0074832803 0.0043612393 0.004490708 0.0042983545 0.005685517 0.004242868 0.004649769 0.0044833096 0.0060702236 0.0040357187 0.0041836826 0.0041097007 0.005156546 0.0036029238 0.0037508877 0.0044722124 0.006517815 0.0047718394 0.0038248699 0.0035178445 0.005019679 0.003939542 0.0038396663 0.004283558 0.0044944067 0.0035622336 0.0033698804 0.0040727095 0.004272461 0.0034364644 0.0038063743 0.0038618608 0.0057225083 0.0033587832 0.0034364644 0.0032589075 0.0044944067 0.0033661814 0.0034364644 0.0037841797 0.0047977334 0.0031035452 0.0034919507 0.0044315225 0.004416726 0.0030850498 0.0033846768 0.0033809778 0.0065363105 0.004823627 0.0049124053 0.0049604937 0.0045609907 0.003917347 0.004383434 0.004131895 0.005089962 0.0038655598 0.0035548354 0.0034438625 0.0038988518 0.004142992 0.00357703 0.00349565 0.0054228813 0.0031442354 0.0037064985 0.0035474373 0.0039617363 0.0033698804 0.0036362156 0.0039580376 0.0045572915 0.0028446082 0.0033587832 0.0030776516 0.0038211707 0.0029703777 0.0031072444 0.0033291904 0.0050751655 0.0039580376 0.00316643 0.0030517578 0.00419478 0.0032182173 0.003684304 0.0031923237 0.004535097 0.0038433652 0.0033402876 0.0030480586 0.0042576646 0.00324781 0.0031072444 0.0036584102 0.0050455728 0.002655954 0.0038470645 0.002907493 0.0053599966 0.0048051313 0.0030776516 0.0034327651 0.0042650625 0.0028815991 0.002470999 0.003055457 0.0038655598 0.0031738281 0.0030665542 0.0036251184 0.0070208926 0.0050751655 0.004239169 0.0053895894 0.0046275747 0.0041170986 0.0037286931 0.0038914536 0.0044722124 0.004671964 0.0036658086 0.0048088306 0.0037360913 0.004202178 0.0028557056 0.00291859 0.0052120322 0.0030073687 0.0031368372 0.0033698804 0.0030628552 0.0027743252 0.0027743252 0.0031775273 0.0034364644 0.0024155125 0.0024931936 0.0024968928 0.0032552083 0.0021935664 0.0029333867 0.0029296875 0.004202178 0.0036066228 0.0026041667 0.00283721 0.0036066228 0.002940785 0.0027521306 0.003199722 0.0031479343 0.0025264856 0.0023304333 0.0024044153 0.003421668 0.0025708748 0.0027225378 0.0027965198 0.004790335 0.0029000947 0.0023859197 0.0023748225 0.0035252427 0.0024857954 0.0027928208 0.0032182173 0.004416726 0.0027595288 0.003425367 0.0028557056 0.0031220408 0.002611565 0.00283721 0.0035659329 0.0061035156 0.004435221 0.0038655598 0.003761985 0.0038877544 0.0028557056 0.0033217922 0.0035104463 0.0042613638 0.0032145183 0.002245354 0.002286044 0.002985174 0.0022786458 0.0022157612 0.003096147 0.0043020537 0.0024636008 0.0030739524 0.0028187146 0.0033846768 0.0022305576 0.0030110676 0.0031109434 0.004416726 0.0024488044 0.0028889973 0.0031960227 0.0036621094 0.0027706262 0.0029222893 0.0030332622 0.0055930396 0.003351385 0.002874201 0.0026374585 0.004616477 0.002027107 0.0021121863 0.0027040425 0.0042576646 0.0025893704 0.0022934421 0.0051047583 0.0038988518 0.0027077415 0.002726237 0.0029296875 0.00538589 0.002692945 0.0025338838 0.002504291 0.0036399148 0.0022009648 0.003210819 0.0033106948 0.004749645 0.0020862927 0.0023822207 0.002655954 0.003284801 0.0024118135 0.0028076172 0.014052883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005734984 0.00025063867 5.3840897e-05 3.5275072e-05 0.00028220058 5.012773e-05 0.00020793726 4.827115e-05 0.0002710611 5.1984316e-05 5.7554065e-05 0.0002246465 9.097255e-05 6.869356e-05 6.3123814e-05 0.000113251546 0.0024451194 1.8565826e-05 7.4263306e-05 8.5402804e-05 0.00013738712 7.240673e-05 0.0005291261 0.00021907676 7.4263306e-05 1.8565827e-06 3.7131654e-06 3.7131654e-06 5.1984316e-05 5.5697483e-06 1.1139497e-05 6.869356e-05 0.007016026 0.00023021626 0.000120677876 8.911597e-05 0.0008800202 0.0003546073 0.00040287845 0.00019679777 0.0003527507 8.911597e-05 5.1984316e-05 0.00015966612 0.0002989098 8.725939e-05 0.00010396863 0.0009728493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018900012 0.00015595295 0.00013553054 0.00010211205 0.00010396863 0.00014481346 0.00019865435 0.00018751486 0.00020051093 5.569748e-05 5.012773e-05 8.911597e-05 0.00017266218 8.354622e-05 9.839889e-05 0.00013367395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001214205 0.00029334007 0.00016523586 0.00013181737 0.00021907676 0.00017451878 0.00023021626 0.00018751486 0.00024506892 0.00011882129 0.00010953838 0.00014667003 0.00015595295 0.00013553054 0.00013738712 0.00013738712 0.101206034 0.07436728 0.0662373 0.06068612 0.06785253 0.05716975 0.05693025 0.05676316 0.06845963 0.04852736 0.04756936 0.0496246 0.05375364 0.04953734 0.05219782 0.058699574 1563.0 6.041587 9443.0 0.018320449 0.010801652 0.008154188 0.009319073 0.012601927 0.011225246 0.008789579 0.015037594 0.012072435 0.007518797 0.008048289 0.009001377 0.010483956 0.008895478 0.013449116 0.008365985 0.014402202 0.008048289 0.0100603625 0.008577783 0.010695754 0.007095203 0.008048289 0.011119348 0.010589855 0.007095203 0.011331145 0.0100603625 0.011754739 0.00656571 0.009107275 0.007836493 0.015778884 0.0135550145 0.009954464 0.012284231 0.0121783335 0.011542941 0.010695754 0.011860638 0.013660912 0.010695754 0.009742667 0.009848565 0.012072435 0.008048289 0.008577783 0.010272159 0.015461188 0.008471884 0.009213174 0.011966536 0.011542941 0.0086836815 0.007942392 0.010272159 0.012284231 0.0076246955 0.008365985 0.007201101 0.01090755 0.007201101 0.00656571 0.008154188 0.013978609 0.013978609 0.010695754 0.010695754 0.013449116 0.012919623 0.0086836815 0.010272159 0.011331145 0.013237319 0.007518797 0.0069893044 0.015672985 0.0086836815 0.010695754 0.01313142 0.016837869 0.0055067246 0.01747326 0.011542941 0.019061739 0.011860638 0.008471884 0.008789579 0.011437044 0.008048289 0.0052949274 0.008154188 0.008789579 0.00582442 0.0067775073 0.007095203 6.53271 0.0 0.0 0.0 5.0 270336.0 692224.0 0.0 0.0 10.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 266240.0 4096.0 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 0.0 0.0 0.0 0.0 -262656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9270177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4668825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -266240.0 0.0 0.0 0.0 0.0 0.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 632.0 689692.0 5660.0 684032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 680360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13402523 0.0073888553 0.004944428 0.0041243616 0.007345299 0.0031796335 0.0036632624 0.003639982 0.0081525985 0.0029535897 0.0029663562 0.0028702314 0.0057412134 0.0030947733 0.0023468009 0.005636077 0.004972965 0.0021966056 0.002023881 0.0021380296 0.00335386 0.0028822469 0.0023813457 0.0021185041 0.003034695 0.0021996095 0.0021507961 0.0021305196 0.0028935117 0.0019713128 0.0020336437 0.0021958547 0.0049256533 0.0019750677 0.0021004807 0.002022379 0.0027771103 0.0021575547 0.0019818263 0.0019472814 0.0026629618 0.0020501653 0.00196155 0.0029333134 0.0032464704 0.0025735956 0.0023640732 0.0021275159 0.004178432 0.0027718535 0.0027688495 0.004877591 0.0029032743 0.002785371 0.0026757284 0.0026141484 0.0031097927 0.00329228 0.0029175428 0.0039779213 0.0034635025 0.003193902 0.002913788 0.0038134574 0.0043188646 0.0031195555 0.0027042655 0.003039952 0.002941574 0.007861971 0.0038367377 0.0025375488 0.0028094023 0.0023948634 0.0036024333 0.0026764795 0.0034402222 0.006381796 0.0024917393 0.002086963 0.0061519975 0.003069991 0.0023407931 0.003926855 0.0024474317 0.0043841996 0.004485581 0.003827726 0.002595374 0.0041979575 0.0019164914 0.0027012615 0.0033343346 0.004233253 0.0034109342 0.003734605 0.002306248 0.0043158606 0.0025413036 0.0035303393 0.0036504955 0.00592295 0.003989937 0.0031390807 0.00446155 0.004047011 0.00543106 0.002304746 0.0038532591 0.0029543405 0.003764644 0.003982427 0.00373085 0.0019352658 0.004363923 0.004553169 0.0084026735 0.008478522 0.0026216581 0.0026043856 0.0026058876 0.002623911 0.002062932 0.0021380296 0.0023745869 0.0030542205 0.002433914 0.0025082608 0.0035160708 0.0026021327 0.0021800841 0.0076344246 0.0035040553 0.005779513 0.0021064884 0.0018466506 0.002370832 0.007820667 0.0021635627 0.017758336 0.002437669 0.0076396815 0.0019194953 0.0018804446 0.0028717332 0.0020058576 0.0018774407 0.0019555422 0.002278462 0.002403124 0.0018474016 0.0017993392 0.0021072393 0.0021034845 0.001990838 0.0019870831 0.0025841093 0.001931511 0.0019074797 0.0020817062 0.002565335 0.0023783417 0.0018864524 0.0019487834 0.002057675 0.0020787022 0.0019352658 0.0017700511 0.0022867227 0.0018579153 0.0017955842 0.0019562931 0.0023355363 0.001933013 0.0019337639 0.001960799 0.0026209073 0.0018789426 0.0019337639 0.0018691799 0.002311505 0.0024324122 0.002343797 0.0021928507 0.0024849805 0.0022656955 0.0021087413 0.0020298888 0.0025292882 0.0022994892 0.002310003 0.0024406728 0.006685191 0.0031488435 0.003259988 0.0043549114 0.003981676 0.002280715 0.0032870232 0.0036842895 0.0036001801 0.003358366 0.0022311504 0.0022506758 0.0033125563 0.00206143 0.0026179033 0.0024571943 0.0026712227 0.0021568039 0.0022071193 0.0019104836 0.002120006 0.0018308802 0.0021057376 0.0020178733 0.0025292882 0.0021477921 0.0019367678 0.0028619706 0.0026501953 0.002375338 0.002056924 0.0021718233 0.0029062782 0.002019375 0.001866176 0.0020389005 0.0027448183 0.0029663562 0.002213127 0.0027996395 0.0112668965 0.0030166716 0.0025600782 0.0049196454 0.0054866327 0.0023377892 0.0024894862 0.0027410635 0.003962151 0.0027448183 0.0026486933 0.0025841093 0.0038389906 0.0028642234 0.00418444 0.0044480325 0.00516146 0.0038194654 0.0041288678 0.0045944727 0.0066498946 0.0033951637 0.009355662 0.052794382 0.0075298306 1.8418616e-05 4.134791e-06 5.2624614e-06 5.7511188e-05 5.6383515e-06 7.141912e-06 7.893692e-06 1.5035604e-06 3.383011e-05 1.8794506e-06 1.5035604e-06 5.6383515e-06 3.7589011e-06 1.1276703e-06 1.3156154e-05 0.035486657 0.0002849247 5.1121056e-05 2.6312307e-05 0.00038867036 1.7666835e-05 8.795829e-05 7.931281e-05 1.9546285e-05 0.00018155492 2.7439977e-05 5.1496943e-05 4.5858593e-05 3.721312e-05 2.8567649e-05 0.0001371999 0.003554041 9.1717186e-05 8.645473e-06 1.16525935e-05 8.0816375e-05 4.8865713e-06 1.6163274e-05 1.4659714e-05 4.8865713e-06 8.645473e-06 5.2624614e-06 3.383011e-06 4.134791e-06 4.5106813e-06 3.7589011e-06 3.1950658e-05 0.003978045 9.6603755e-05 1.2404374e-05 1.16525935e-05 5.3752286e-05 7.893692e-06 0.00020523599 8.720651e-05 9.397253e-06 1.3532044e-05 1.50356045e-05 1.1276703e-05 3.232655e-05 1.0524923e-05 1.0149033e-05 6.3901316e-05 0.0010780528 1.9170395e-05 1.7290946e-05 4.8865713e-06 4.8865713e-06 3.0071208e-06 6.0142415e-06 4.8865713e-06 0.00016200864 1.8794506e-06 6.766022e-06 2.2553406e-05 0.00013644811 2.2553406e-06 3.0071208e-06 0.0023760013 0.0031168808 4.0596133e-05 5.7135298e-05 3.7589012e-05 0.00011577415 2.2929296e-05 0.00022778941 0.00018869684 7.818514e-05 1.9922176e-05 1.0900813e-05 6.766022e-06 5.3752286e-05 9.773143e-06 5.6759407e-05 0.00057548773 0.002281653 3.683723e-05 1.8418616e-05 2.8191758e-05 1.3532044e-05 3.119888e-05 0.0003834079 0.0004108479 0.00013193743 1.9546285e-05 4.8865713e-06 3.7589012e-05 0.00014246235 9.998677e-05 0.0007254679 0.0025624428 0.0067776744 6.878789e-05 0.0006296159 0.00045445113 0.00054579246 0.0002661302 0.0009667894 0.00058563676 0.00015824974 0.00030221566 0.00028229348 0.00037701777 0.00041911748 0.00014998016 0.0012009689 0.006060852 0.0077741593 0.00057661545 0.0015189719 0.0012370544 0.0009096541 0.00032552084 0.0018820817 0.0009457395 0.0007179501 0.0005465442 0.000646531 0.00091829954 0.0012637426 0.0006322472 0.0013524526 0.015703937 0.012714483 0.0009743072 0.0017516479 0.0013314028 0.0021076158 0.0016046748 0.007851592 0.0043163463 0.00048527413 0.0004600895 0.00054052996 0.00065179344 0.00090664695 0.0007916246 0.001741123 0.00949987 0.01054447 0.00074275886 0.0013186225 0.00081605744 0.0021572334 0.0013629775 0.0055955 0.0030657598 0.0004371602 0.00046610372 0.0004867777 0.0006844959 0.0010216694 0.000653297 0.001364857 0.0062337616 0.010594838 0.001179919 0.0015422772 0.010421554 0.002141822 0.0016539164 0.0045997673 0.0028451122 0.001138947 0.0012607354 0.0012114939 0.001446801 0.0016133203 0.0012900549 0.0017693148 0.005328618 0.008122985 0.0007889933 0.0006318713 0.0013073458 0.0015058158 0.0009957328 0.0015313763 0.0012359266 0.0020978427 0.00072584377 0.00065931125 0.0010269318 0.001426503 0.0006649496 0.0011817985 0.003810398 0.028714998 0.004158472 0.0028334595 0.004694116 0.00895295 0.010541462 0.004765535 0.0072761048 0.01953313 0.0019865793 0.0016561719 0.002383895 0.008800339 0.002288043 0.008298526 0.017065411 0.03187398 0.0067476034 0.0050985734 0.006956974 0.012260407 0.015477651 0.0074997596 0.010049798 0.023040935 0.003208598 0.002671075 0.0036010272 0.011768367 0.0039468464 0.01124776 0.021609923 0.02777264 0.024850471 0.024310693 0.024930535 0.024966996 0.024464808 0.024583213 0.025388746 0.025174487 0.024484353 0.024438495 0.024817392 0.024930911 0.025157949 0.02540115 0.026174732 7126.0 11.8380575 84358.0 0.026565352 0.0028331634 0.004338652 0.0030346855 0.00444534 0.0042556725 0.0033428958 0.0040778588 0.0061404966 0.004883947 0.003793357 0.0040185875 0.0051684487 0.005476659 0.008748429 0.0053225537 0.013750919 0.008357239 0.007788236 0.007942341 0.00849949 0.0078475075 0.007966049 0.007397046 0.009222599 0.009139619 0.013193769 0.008783992 0.00983902 0.0076222764 0.008985514 0.0074800258 0.005974537 0.007610422 0.004101567 0.008369094 0.006958439 0.006863605 0.006069371 0.006069371 0.0062471847 0.006365727 0.0037103773 0.004575737 0.006259039 0.004706133 0.004990635 0.004789113 0.009945707 0.005073615 0.0069702934 0.0104791485 0.0088077 0.0054529505 0.006697646 0.007954195 0.006673937 0.0040778588 0.0040422957 0.004030442 0.017686527 0.0031769364 0.003698523 0.014165817 0.004421632 0.037115626 0.013893169 0.025249531 0.026482373 0.05375898 0.009578226 0.010728087 0.015955808 0.032196116 0.0060456623 0.005962683 0.025296949 0.014557007 0.026387539 0.030097917 0.023056498 0.0038170654 0.034152064 0.03480405 0.039664287 0.017733943 0.00858247 0.008831409 0.007906779 0.010076105 0.0046942793 0.0036866688 0.0043623606 0.0025012447 0.0023471396 0.0032006449 6.137641 0.0 34.0 0.0 12.0 1331600.0 417792.0 0.0 0.0 74.0 0.0 1.0 0.0 0.0 0.0 998665200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 55.0 4.0 0.0 4.0 0.0 33280.0 1024.0 4096.0 5.0 1.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30720.0 -2560.0 368128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2110646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2683244 -4.706182 7.216722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 548.0 0.0 0.0 -556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30320.0 -2276.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2276.0 45056.0 298376.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.00788806 0.0055662664 0.0042615198 0.0042853113 0.004286311 0.0042425264 0.004239927 0.004284512 0.0038958467 0.0038394663 0.003897646 0.0038752537 0.0038700555 0.0038508622 0.00385686 0.00394363 0.0039106417 0.0038936473 0.0038932476 0.0038738542 0.0038478633 0.003848463 0.0038394663 0.0038692558 0.0038406658 0.0038938473 0.0038146747 0.003877053 0.0038582596 0.0038220722 0.0038512622 0.0038724546 0.0040593897 0.0038818514 0.0038610587 0.003866057 0.003868456 0.0038406658 0.0038334683 0.0038646574 0.0038224722 0.0038810517 0.003894247 0.0039166394 0.0038090767 0.0039076423 0.00385666 0.0038238715 0.003903644 0.003934433 0.0038846505 0.0039540264 0.0038468635 0.003831269 0.003908642 0.0038344678 0.003880452 0.0038214724 0.0038912483 0.0038900487 0.0038732544 0.0038150747 0.0038872496 0.0038588594 0.0041399617 0.0039108414 0.0038470635 0.0038740542 0.0038970462 0.0039870148 0.0038546608 0.0038896487 0.0038532615 0.0038742542 0.0038822512 0.0038268706 0.0039308346 0.0038798521 0.0038438647 0.003866057 0.0039156396 0.0038240715 0.0038998453 0.0039012446 0.0038870496 0.0039458293 0.003912041 0.0038440647 0.003848263 0.0038776528 0.0038656571 0.00391584 0.003848263 0.003894847 0.0038376667 0.0038302694 0.003822672 0.003895047 0.0038474633 0.0038810517 0.0039256364 0.0039876145 0.0039106417 0.0038246713 0.003903244 0.003929635 0.0038758535 0.0038618583 0.003925836 0.0038968462 0.003984016 0.0039130407 0.0038990455 0.0039054432 0.003951427 0.0039256364 0.004056791 0.0039622234 0.0038880494 0.0038838508 0.0038638576 0.0038768533 0.0038608587 0.0038436647 0.003908842 0.0039142403 0.0038250713 0.0038668567 0.0039566252 0.003903644 0.0038362674 0.0038840508 0.0038750537 0.0038894487 0.0038176738 0.003842865 0.0038728546 0.003917639 0.0038796521 0.004197342 0.0038360674 0.003891848 0.003816674 0.0038102763 0.0038064776 0.0038760535 0.0037752884 0.0038352676 0.003811276 0.0038436647 0.0038874494 0.003891848 0.0038364672 0.0039132405 0.0038730544 0.003903244 0.0038362674 0.0038174738 0.003808077 0.003854061 0.003785485 0.0038520617 0.003868656 0.0038300694 0.0038546608 0.0038274704 0.0038478633 0.0038646574 0.0038274704 0.003842865 0.0038392663 0.0038490628 0.0038528615 0.0038060779 0.0038210726 0.0038344678 0.0038664567 0.0038520617 0.003880252 0.0038294697 0.0038118758 0.00385706 0.0038404658 0.0038636578 0.0039052432 0.0038704553 0.0038844505 0.0038392663 0.003846064 0.0038206726 0.0037960813 0.003837267 0.00397182 0.0038798521 0.0038522617 0.0039856154 0.003877253 0.0038280701 0.0038608587 0.003911641 0.0037902833 0.0038700555 0.0038380667 0.0037688906 0.0038700555 0.0038416653 0.0038466637 0.0038004797 0.003897446 0.0038618583 0.003837467 0.00385706 0.0039084423 0.0038696558 0.0038546608 0.003794082 0.003911041 0.0038158745 0.0038308692 0.0038704553 0.0038520617 0.003906243 0.0038730544 0.003845864 0.0038754537 0.003842665 0.0039222375 0.003805078 0.0038522617 0.0038754537 0.0038216724 0.0038616585 0.0040022098 0.0038438647 0.0038900487 0.0039708205 0.00391544 0.0038656571 0.003843465 0.0038318688 0.003919638 0.0038758535 0.0038576599 0.0038154745 0.0039084423 0.0038324685 0.0038564603 0.0038224722 0.00385706 0.0038362674 0.0038334683 0.0038894487 0.0038868496 0.003842265 0.003880452 0.0045668134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048638132 7.699704e-06 3.11988e-05 9.199647e-06 3.3198725e-05 8.299681e-06 0.00013669475 7.259721e-05 1.0299605e-05 6.9997313e-06 1.4999424e-06 1.0999578e-06 3.799854e-06 1.6999347e-06 1.7999308e-06 6.6997427e-06 0.0001641937 1.2999501e-06 3.3498713e-05 5.4997886e-06 2.809892e-05 1.3099497e-05 0.00010619592 5.2497984e-05 2.9998847e-07 6.999731e-07 1.9999231e-07 3.9998463e-07 2.9998847e-07 2.9998847e-07 2.499904e-06 4.999808e-07 0.00025699014 2.5999002e-06 6.469752e-05 1.8199302e-05 1.8899274e-05 1.29995005e-05 0.00012319526 6.1397644e-05 1.1999539e-06 1.5999385e-06 5.9997694e-07 2.1999156e-06 3.6998579e-06 5.9997694e-07 2.6998963e-05 1.849929e-05 0.00032498752 8.999655e-06 2.3399101e-05 2.029922e-05 3.0898813e-05 1.1999539e-05 3.2198765e-05 1.8599285e-05 2.4799048e-05 1.4999424e-05 5.1998004e-06 3.89985e-06 2.3399101e-05 6.399754e-06 2.679897e-05 3.749856e-05 0.00037898545 6.9997313e-06 7.02973e-05 4.16984e-05 6.4197535e-05 3.259875e-05 0.00020509212 0.00012309528 3.7298567e-05 3.8198534e-05 7.2997195e-06 1.589939e-05 4.789816e-05 1.0299605e-05 4.2298376e-05 0.00010659591 2.2799124e-05 2.9998848e-06 3.7298567e-05 2.499904e-05 5.799777e-06 5.599785e-06 4.969809e-05 3.0698822e-05 2.8998886e-06 2.8998886e-06 2.6998964e-06 2.7998924e-06 2.1999156e-06 4.399831e-06 4.1998387e-06 2.7998924e-06 0.0003025884 3.1098807e-05 4.1498406e-05 3.879851e-05 0.000117295494 9.769625e-05 4.999808e-05 6.849737e-05 0.00018799279 1.5499405e-05 1.4699435e-05 2.8498906e-05 9.539634e-05 5.5697863e-05 8.3896775e-05 0.00020439216 0.0011676551 0.00016179378 0.00023539097 0.00021849161 0.00045428256 0.00043828317 0.0002963886 0.0003434868 0.0007327719 8.199685e-05 9.3596405e-05 0.00013659475 0.00039628477 0.0002497904 0.00038428523 0.0007526711 0.06690413 0.061587136 0.06145404 0.06164503 0.061609033 0.06143304 0.061391443 0.06166613 0.06123325 0.061412342 0.061279748 0.061414342 0.06122895 0.06146354 0.06145164 0.061357845 22935.0 5.828079 133667.0 0.014408941 0.009680774 0.010354089 0.010077282 0.010167057 0.009815437 0.009860325 0.010189501 0.00989025 0.010294239 0.010077282 0.0097855115 0.009822918 0.010107207 0.010541121 0.010249351 0.01000995 0.010615934 0.010196982 0.009733143 0.010226907 0.009980025 0.010630896 0.010054838 0.009725662 0.009770549 0.009815437 0.00959848 0.009867806 0.01012965 0.010354089 0.009860325 0.010249351 0.01071319 0.009523667 0.010406458 0.009635886 0.010675784 0.010503715 0.0096433675 0.0099276565 0.010660822 0.010144613 0.010541121 0.010211945 0.010533639 0.010062319 0.010054838 0.01012965 0.009695737 0.010211945 0.010324163 0.011019923 0.010204463 0.010226907 0.009792993 0.009815437 0.010047357 0.01000995 0.009703218 0.010137131 0.010017431 0.010032394 0.01000995 0.009673293 0.011962564 0.010788003 0.01094511 0.011446356 0.015388989 0.009792993 0.010309202 0.010698228 0.011902713 0.009957581 0.010271795 0.011783013 0.010997479 0.011880269 0.011985008 0.011244361 0.009987506 0.011797976 0.01264336 0.013301712 0.010802966 0.010226907 0.010548602 0.010264314 0.010286758 0.009837881 0.00959848 0.009957581 0.00965833 0.009463817 0.009837881 6.579386 0.0 2.0 0.0 75.0 5001737.0 86016.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41472.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41472.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.102853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647854 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 4.5923233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41424.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428.0 57344.0 11264.0 73728.0 0.0 0.0 3552.0 35603640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.28124568 0.014846453 0.004564705 0.0038750116 0.0064143366 0.002220128 0.0020149301 0.001927531 0.006633784 0.0019626806 0.001919931 0.0012796373 0.004237908 0.0018353818 0.0011314388 0.0038237122 0.006333587 0.0027739725 0.0012235879 0.0010221899 0.0032632176 0.0044241063 0.0006877932 0.0006763933 0.0021659785 0.000806542 0.00057094434 0.0007865922 0.0018002322 0.0007143929 0.0005680944 0.0007371927 0.010469846 0.0007979921 0.0016862333 0.0007979921 0.0070527303 0.0013603865 0.0006288938 0.0005557445 0.0015779344 0.00058044423 0.000706793 0.0015437347 0.0012976872 0.0009271908 0.002108029 0.0007875422 0.0035491649 0.0014316358 0.0014335358 0.0050292504 0.0017916822 0.0014658355 0.0010858392 0.0019854803 0.0015019352 0.0019607807 0.0009955901 0.0027701727 0.00203203 0.0015313849 0.00084454165 0.001422136 0.0068304325 0.002836672 0.004456406 0.0024766254 0.068185575 0.005243948 0.0041248593 0.0018999812 0.0018762314 0.00201113 0.0006288938 0.0006393437 0.002815772 0.0028281221 0.0017251829 0.0009490406 0.0076882737 0.0020291798 0.0018068821 0.0038123121 0.0025896744 0.0027511728 0.0036812136 0.003422816 0.0013081371 0.0018477318 0.0005110949 0.0011808383 0.0015627345 0.0014943352 0.0043167574 0.0025811244 0.001217888 0.0050871996 0.0012435376 0.003741063 0.0054975958 0.010613295 0.010941042 0.0036850136 0.0055897445 0.0055859447 0.003143519 0.0007238928 0.012787824 0.002220128 0.0063098376 0.0064352364 0.0031226191 0.00042179582 0.0063782367 0.0045979545 0.012437277 0.0072151786 0.0037201631 0.002436726 0.0017460827 0.0014572856 0.00065074355 0.0004455456 0.0014344858 0.0013812863 0.00075049256 0.000807492 0.003839862 0.0011399887 0.00058044423 0.0058956416 0.0023550268 0.0060143904 0.0008511916 0.00041989583 0.0013594365 0.0064456863 0.0009271908 0.014917702 0.0011561386 0.0066964836 0.000605144 0.0004730953 0.00096329045 0.00062129385 0.00036859635 0.0011694385 0.00078089227 0.00064979354 0.00043224572 0.00031064692 0.0007960921 0.0016358838 0.0005253448 0.0003837962 0.00076949236 0.00056239445 0.00042084584 0.00038284622 0.0013347368 0.0017964322 0.0020244299 0.0012435376 0.00083314173 0.001821132 0.0006564435 0.00066119345 0.00080464204 0.00029069712 0.00064219366 0.00061654387 0.00075999246 0.0003229968 0.00032679675 0.00034579658 0.00101079 0.00036764637 0.00054149464 0.00040659597 0.0007637924 0.0010022401 0.00071249297 0.0007134429 0.0014401857 0.000608944 0.00046739538 0.00064979354 0.0007875422 0.0007618925 0.00066594343 0.0008587915 0.005946941 0.0017042832 0.0018743315 0.0020462798 0.003337317 0.0005889942 0.009935002 0.0033990664 0.001311937 0.0016320838 0.00094334065 0.00062984374 0.056240395 0.0004455456 0.0006792433 0.000506345 0.0013955362 0.0008977411 0.0007362427 0.00095379056 0.001111489 0.00038759617 0.0010905892 0.00086259143 0.0017764824 0.0016111841 0.0004635954 0.00101554 0.00088254124 0.0011779884 0.00058709417 0.0005937441 0.0017945323 0.000500645 0.0004844952 0.00044744558 0.0012235879 0.00042844575 0.00042084584 0.0004958951 0.005764543 0.0013803364 0.00037524628 0.0062157884 0.002623874 0.00045694548 0.0005300947 0.0005500445 0.0020063801 0.0006592935 0.00050159503 0.0010934392 0.0013803364 0.00039519608 0.0018952312 0.0014876853 0.0027578226 0.001114339 0.00072009285 0.0013888862 0.002733123 0.001822082 0.0021574285 0.038602866 0.065138906 8.566338e-06 1.1421784e-05 2.3795383e-06 2.5699013e-05 1.1897691e-05 5.2349842e-05 2.427129e-05 4.7590765e-06 2.855446e-06 4.7590765e-07 3.8072612e-06 3.8072612e-06 0.0 9.518153e-07 9.994061e-06 0.0055781137 7.6145225e-06 1.427723e-05 1.4753137e-05 2.5223106e-05 1.3325414e-05 6.091618e-05 2.855446e-05 9.042245e-06 3.3313536e-06 2.0939937e-05 1.3801322e-05 2.9982182e-05 6.662707e-06 9.518153e-06 1.1897691e-05 0.0071338555 2.855446e-05 2.9506275e-05 4.3307595e-05 8.233202e-05 4.3307595e-05 0.0001499109 6.757888e-05 4.092806e-05 1.3325414e-05 8.09043e-06 4.9018487e-05 2.9030367e-05 9.042245e-06 9.518153e-06 5.9964364e-05 0.012195134 8.70911e-05 0.00016561586 0.000121356454 0.00016133269 7.947658e-05 0.00020416439 0.00010089242 0.00015133864 3.9500334e-05 4.5687135e-05 6.567525e-05 5.2825748e-05 5.853664e-05 4.092806e-05 7.566932e-05 0.008929932 0.00012611553 0.00016466404 8.566338e-05 0.00020701982 0.00011754919 0.0004716245 0.00027031553 5.9488455e-05 3.6644888e-05 1.4753137e-05 5.1873933e-05 6.1392086e-05 3.616898e-05 2.3319475e-05 6.472344e-05 0.0076183295 0.00012183236 0.00012373598 0.00013420595 0.0231096 8.185612e-05 0.0034389086 0.00032647265 2.1415844e-05 8.09043e-06 2.5699013e-05 1.9988121e-05 0.0151833575 6.662707e-06 0.001143606 0.0002931591 0.011746828 0.0002236766 0.0005687096 0.00020701982 0.029584324 0.00013896503 0.012419286 0.0011017262 0.00021653798 0.000120404635 0.00014086867 8.042839e-05 0.02807998 3.6644888e-05 0.0004968476 0.0006077341 0.03421205 0.0002741228 0.0036602058 0.00063152943 0.014866879 0.0008947064 0.014507093 0.007198579 0.00038500928 0.00010707922 0.0001489591 0.00012516371 0.0118876975 8.471156e-05 0.0005958364 0.0010636536 0.035246197 0.00067578885 0.0029967905 0.0009356344 0.005381088 0.002771686 0.01515861 0.007903398 0.0006838793 0.0004111842 0.00022891158 0.00021368254 0.00048019082 0.00021986934 0.0015433686 0.0021477712 0.020016199 0.0004920885 0.0019141006 0.0011712087 0.0037796586 0.0019083897 0.0077111316 0.004266988 0.0006715057 0.00025413468 0.00031409904 0.00028364095 0.0009632371 0.0003364667 0.0005016067 0.0012245104 0.013918871 0.00097180344 0.0016004774 0.0015214768 0.0032071418 0.0020164207 0.0051564593 0.0029401574 0.0005468179 0.00044878092 0.0004164192 0.00037025617 0.0011179071 0.00050731754 0.0003740634 0.0019226669 0.012369316 0.0012835229 0.0021144578 0.0067640753 0.0025066056 0.0020792405 0.0042841206 0.0024147555 0.0012383118 0.0008699592 0.0008518747 0.00074051233 0.0017722801 0.00095371896 0.00079286215 0.002824036 0.013975028 0.0018793594 0.0019450346 0.002793578 0.0026170162 0.0034655596 0.0046510454 0.002757409 0.0022853084 0.0012535407 0.0012735289 0.0008894714 0.0023890564 0.0013815599 0.0010993467 0.0040771007 0.055137232 0.01244213 0.00790435 0.008293167 0.012168007 0.016334578 0.008676749 0.01048377 0.027079144 0.0035988137 0.005888881 0.0047191004 0.015831068 0.0059022065 0.0093592 0.030099731 0.034466185 0.008574428 0.008343137 0.006889239 0.01022678 0.011209529 0.0060211834 0.007871512 0.019071048 0.0024870934 0.004133258 0.0030058327 0.012401202 0.00495753 0.0068054795 0.015329937 0.0021920307 0.0013368246 0.0012559203 0.0011145758 0.0017085085 0.0014034517 0.0018232022 0.0012278417 0.001231173 0.0010993467 0.00096799614 0.0011107684 0.0010793585 0.0010446173 0.0008951823 0.0009770384 7861.0 22.24577 174874.0 0.01869346 0.0006061507 0.0018527625 0.0006233059 0.002481787 0.0023445452 0.0003888514 0.0006518979 0.0010979334 0.0007148004 0.0006976452 0.00048034586 0.0013952904 0.0015839976 0.0052437754 0.0012980775 0.0040371926 0.0035740018 0.0035396914 0.0034825073 0.0022702059 0.0018184521 0.0016526184 0.0060100416 0.0021215274 0.001915665 0.0018813546 0.0018413258 0.004357423 0.0017784233 0.001618308 0.0029335406 0.0035511283 0.0067934627 0.004014319 0.008285966 0.3900866 0.004957855 0.015090865 0.0069707334 0.0020071594 0.005987168 0.0005032195 0.0010407494 0.0077255624 0.003516818 0.0047462746 0.0017269577 0.007937144 0.0011837094 0.0029049488 0.007451079 0.0063131168 0.0017669866 0.004168716 0.0048492057 0.002922104 0.0011150886 0.00052609306 0.0009035077 0.001378135 0.0009035077 0.014147329 0.006215904 0.0007148004 0.016880726 0.0039628535 0.01192287 0.020580532 0.036357608 0.046038862 0.013489713 0.0057126847 0.017132334 0.0015096584 0.001320951 0.06198177 0.0069650146 0.017372508 0.019648433 0.0066104736 0.00031451217 0.019505473 0.0143246 0.028998021 0.005889955 0.012837815 0.0030536272 0.0038542035 0.0039857267 0.0007319556 0.00024589134 0.00042888022 0.0004917827 0.00025160974 0.00020586251 4.3576603 5.0 26.0 0.0 26.0 1052642.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.185378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.20907739 0.016747268 0.007005325 0.007342624 0.0070547955 0.006796949 0.0060713813 0.00333926 0.01040305 0.0034044709 0.00429569 0.003560378 0.005105957 0.00409406 0.0025934542 0.011594839 0.011509391 0.0043159276 0.0029779752 0.0013214624 0.0017584519 0.002889528 0.00094068935 0.00095043355 0.004355654 0.0028183202 0.0007945265 0.0009384407 0.0010411295 0.00097441924 0.0007300649 0.0014046628 0.0102321515 0.0010388808 0.0014811172 0.000907709 0.017604757 0.00091370544 0.0006281256 0.00082975545 0.0039756307 0.0008335032 0.000711326 0.0019188564 0.0009227001 0.0010823549 0.0011880419 0.00059439574 0.0061875624 0.00086723315 0.0013664356 0.005307587 0.0018836274 0.0007570488 0.00075629924 0.0007233189 0.0039134175 0.0017584519 0.0010943478 0.0037874926 0.00096992194 0.0007855318 0.0010726107 0.0025919552 0.009121314 0.010177434 0.0019091122 0.0033190218 0.008721801 0.005540698 0.0014016646 0.0015583213 0.064406864 0.007830583 0.0009819148 0.001575561 0.010115971 0.0041967486 0.0011640562 0.0011573102 0.005091715 0.00094218843 0.0011648057 0.001976572 0.0033257678 0.0024735257 0.0021429728 0.0028325617 0.0027868391 0.00069333677 0.0005591667 0.0014758704 0.004148028 0.0014511351 0.0015740618 0.0033467554 0.0029232576 0.0027695992 0.0010583692 0.002669159 0.0029120145 0.004520556 0.004285196 0.0011565607 0.0024367976 0.002295132 0.0004954547 0.0008567394 0.003265054 0.0011850437 0.0025244954 0.0024885167 0.0041202945 0.00063637074 0.0042042444 0.0033932277 0.010985453 0.0060646357 0.0010598684 0.0010306358 0.0021886956 0.0013769293 0.0006701006 0.0010538719 0.0017726935 0.00091820274 0.0008357519 0.0012225214 0.006362208 0.0015260904 0.0008709809 0.013736313 0.0034254584 0.0069371155 0.00082525815 0.0008132653 0.0020125506 0.015380084 0.0017921819 0.037288778 0.0008050202 0.012820359 0.00052318815 0.00053668016 0.003634584 0.00039051726 0.00061463367 0.0011693031 0.00074955326 0.00076604343 0.0003755262 0.00052618637 0.0011595589 0.00046622212 0.00040700744 0.00040400922 0.0008919684 0.0004489824 0.0003897677 0.00048945827 0.0017217238 0.00065660867 0.00064086803 0.0007218198 0.00077878585 0.0006138841 0.00058914884 0.00076379476 0.0013679347 0.000760047 0.0007622957 0.0005764065 0.00063412206 0.00059889304 0.0006273761 0.00072256936 0.0018161676 0.0005246873 0.0005546694 0.00043624 0.00063637074 0.0004812132 0.0010906 0.0016332766 0.002271896 0.0017659474 0.0013709329 0.0005764065 0.0006603564 0.0006498627 0.0006333725 0.0007360613 0.008503682 0.0040963087 0.0020058046 0.0053765457 0.004374393 0.0010276375 0.0018828778 0.0044725845 0.0037357735 0.0027358695 0.0012187737 0.0025762145 0.019264268 0.00073831 0.0014878633 0.0028235673 0.0027411163 0.0011977861 0.0019945612 0.0012202727 0.0007210702 0.00061013637 0.000837251 0.0010958469 0.0019473394 0.0014234016 0.00083949964 0.001295228 0.0006093868 0.0005246873 0.00052843505 0.0006176319 0.0026279339 0.0008042707 0.000619131 0.0006745979 0.00075629924 0.0005404279 0.00061463367 0.0006108859 0.012929793 0.0031046497 0.0010906 0.0032972847 0.003537142 0.00069258723 0.0005022007 0.0006693511 0.0037110383 0.0010006536 0.0015515753 0.0012427593 0.0011618076 0.0007795354 0.001948089 0.0016490172 0.0036570705 0.0020110514 0.0016647578 0.0010621169 0.0010546214 0.0015021048 0.0029330018 0.033128757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006987939 0.00029874855 4.841528e-05 2.8148419e-05 0.00010808993 6.830683e-05 6.680558e-05 4.203497e-05 4.6163408e-05 2.664717e-05 5.141778e-05 3.6780602e-05 8.3694635e-05 0.00010170962 8.406994e-05 0.00037606288 0.021763608 0.0018037508 0.00037681352 0.00026309388 0.0004560044 0.00026834826 0.00028073357 0.00021205143 0.00015050021 0.00018653019 0.00013548773 0.00013210991 0.00014111742 0.00023607141 0.00029274356 0.00097205874 0.022209853 0.0012298983 0.00094541156 0.00025821483 0.0006342777 0.00050667155 0.001317346 0.00081217574 0.0008144276 0.00039858161 0.00015838178 0.00017039177 0.00024920734 0.00016926583 0.00049090845 0.00038056663 0.020104727 0.0008106745 0.0011323171 0.0007904076 0.0008178054 0.0006023762 0.0037643819 0.0020773534 0.00065717177 0.00024995796 0.0001805252 0.00014336928 0.00018165114 0.00010733931 0.00018502894 0.0004777725 0.036009334 0.0018784378 0.0018416572 0.0011826089 0.0012790642 0.0012374045 0.004838526 0.0027521648 0.001799247 0.0007393652 0.00043536222 0.00042260162 0.00072322675 0.00040946566 0.00067443616 0.0021937 0.040523216 0.003554207 0.0020450766 0.0019610066 0.0019159691 0.0024185122 0.005683729 0.003926517 0.0014205569 0.0007603826 0.0007100908 0.00075137516 0.0014359447 0.0009288978 0.0010264791 0.0054960726 0.020273618 0.0024665522 0.0014025419 0.0028107136 0.0036469093 0.0027743082 0.0062583317 0.003221305 0.00081330165 0.000367806 0.00032276855 0.00042147568 0.0007044611 0.00047251812 0.0005059209 0.0027303966 0.015470747 0.0034033316 0.0011848608 0.0012377799 0.0011758533 0.0010261037 0.0012419083 0.001216387 0.002020306 0.0010535015 0.004049244 0.0011709742 0.0013522501 0.0010748943 0.0010895315 0.0014329422 0.012510659 0.0023457017 0.0013188473 0.001216387 0.004641487 0.0009739353 0.0008504576 0.0013128422 0.0044767247 0.0008042942 0.0008969963 0.0009030013 0.0025322319 0.0008260623 0.0012621752 0.0015601731 0.09991788 0.018650392 0.030374771 0.019115403 0.10956603 0.022770194 0.010214498 0.02211978 0.085627116 0.0065987404 0.0037444904 0.009515292 0.053445216 0.01125036 0.023803804 0.039004702 0.010647984 0.0022826493 0.0032479523 0.0034007044 0.008163041 0.002368971 0.0022015816 0.0028696375 0.007071634 0.00085833913 0.0009739353 0.001365386 0.0046846475 0.0017467033 0.0028238494 0.004478226 0.0021002474 0.0009754366 0.00092064094 0.0015004984 0.00089774694 0.0009544191 0.0010351113 0.0009262707 0.0008482057 0.00082305976 0.0008557119 0.0007952867 0.00083919824 0.0008602157 0.00081555353 0.0009938269 4957.0 12.583821 62378.0 0.024864536 0.00083362724 0.0006893456 0.0004969701 0.032142743 0.0004488762 0.000657283 0.00136266 0.004104011 0.0012504408 0.00041681362 0.0026932573 0.0012504408 0.0011542531 0.009650839 0.0017634422 0.012969316 0.005626984 0.005851422 0.011815063 0.0047452627 0.0046009813 0.004104011 0.0037833853 0.00817596 0.0094264 0.0015069415 0.008897368 0.002901664 0.0004649075 0.0030459457 0.013658661 0.052117735 0.06386867 0.003494822 0.009730995 0.012552503 0.009073712 0.0043284493 0.0038956043 0.03384206 0.008031677 0.00060918916 0.0018756613 0.010740967 0.0034627593 0.0022604123 0.0018435987 0.0069736126 0.0013786912 0.0033184777 0.008624836 0.011061592 0.014909103 0.031581648 0.021642245 0.0023726313 0.0004969701 0.0010580653 0.002789445 0.007662958 0.008079772 0.015149572 0.028824264 0.002404694 0.029305203 0.008208022 0.025634037 0.021770496 0.04748469 0.016287794 0.0067010806 0.0077270833 0.02143384 0.0014428163 0.0025008817 0.022347623 0.0092019625 0.024383597 0.027477637 0.009362275 0.00080156466 0.032783993 0.024463754 0.043188304 0.01612748 0.003061977 0.002019943 0.0057872967 0.0066850493 0.0008496585 0.0009458463 0.0028535703 0.0007695021 0.0009939402 0.0019878803 5.751624 0.0 20.0 0.0 5.0 1334128.0 1347584.0 1.0 4.0 278.0 1.0 1.0 1.0 1.0 0.0 1537156600.0 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 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 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 14.0 0.0 6.0 0.0 6.0 0.0 848384.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 359936.0 0.0 0.0 0.0 0.0 53760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -851456.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -5.45978 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.63047 0.0 0.0 0.0 0.0 6.0306463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7768693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.296214 0.0 4.237298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 359708.0 0.0 0.0 0.0 0.0 53640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -850764.0 0.0 1320.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -2.0 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 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 -1.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 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 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 1.0 2.0 1.0 1.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 -1.0 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 -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 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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 152.0 1207824.0 240.0 1207976.0 1320.0 1331200.0 53640.0 1265664.0 20336.0 1313792.0 9120.0 1335296.0 112.0 1037760.0 0.0 0.0 0.0 0.0 40.0 1038024.0 148.0 1037872.0 0.0 0.0 2312.0 856064.0 0.0 0.0 0.0 0.0


Input: 0.18865497 0.016977163 0.007408729 0.0086388225 0.0099909855 0.004760742 0.0030235876 0.0041503906 0.013239934 0.0036902796 0.003108098 0.0025446964 0.005925105 0.0029578577 0.0017559344 0.009267954 0.009399414 0.0016902044 0.0018873948 0.0013427734 0.0046105017 0.0056997444 0.0013239934 0.0009296124 0.0040189303 0.0009953425 0.0010329026 0.0015305739 0.0029672475 0.0014648438 0.0008357121 0.001539964 0.006995568 0.0016150841 0.0009765625 0.0016714243 0.017765926 0.00094839244 0.0008263221 0.0007136418 0.0021033655 0.0008544922 0.0009108323 0.0025071364 0.0014460637 0.0017371544 0.001183143 0.0008263221 0.0025446964 0.0016056941 0.0008451022 0.0071364185 0.0014460637 0.0017183744 0.00095778244 0.00075120194 0.0020658053 0.0022254358 0.0009765625 0.0059814453 0.0015869141 0.0028451772 0.00079815206 0.001164363 0.008836012 0.018930288 0.0029202974 0.0019812952 0.0073899487 0.006976788 0.0037278396 0.0028639573 0.002732497 0.0014366737 0.0012864333 0.00081693206 0.0048170825 0.0041503906 0.0016526442 0.0016338641 0.0072397087 0.0032019983 0.0025728666 0.0049203727 0.0042255106 0.0037653996 0.006319486 0.0049579325 0.0013239934 0.0041410006 0.0010329026 0.0022723859 0.0025071364 0.0033897986 0.0037747896 0.0029296875 0.002000075 0.0038405198 0.0011080229 0.0023005558 0.0032489484 0.007061298 0.004657452 0.0012676532 0.005887545 0.0035494291 0.0064697266 0.0011080229 0.0039625904 0.0016808143 0.003493089 0.0037372296 0.0024695764 0.0007324219 0.0049203727 0.0034273588 0.016394982 0.0120943505 0.0020564152 0.001953125 0.0014460637 0.0013709435 0.00069486175 0.0005352314 0.0027700572 0.0034085787 0.001990685 0.0014836238 0.00390625 0.0037184495 0.00094839244 0.018836388 0.00397198 0.009559045 0.0012394831 0.001183143 0.0032865084 0.012704702 0.0022629958 0.029127855 0.0016244742 0.008563702 0.0012394831 0.001164363 0.0018028846 0.00081693206 0.00068547175 0.0009202224 0.0014554537 0.0013897235 0.00081693206 0.0007418119 0.0016995943 0.0009671725 0.0005258414 0.00041316106 0.0010047326 0.00067608175 0.0005446214 0.00061974156 0.001990685 0.0021033655 0.0005446214 0.0017934946 0.001183143 0.00095778244 0.00040377103 0.00061974156 0.0010422927 0.0008357121 0.0005164513 0.00087327225 0.0009671725 0.0004319411 0.0006291316 0.0004695012 0.0011174128 0.0005352314 0.0006666917 0.00061035156 0.0011080229 0.00087327225 0.0021690954 0.0017089844 0.0031362681 0.0011174128 0.0006666917 0.0009108323 0.0015211839 0.00075120194 0.001164363 0.0014085036 0.009699895 0.004760742 0.0030141978 0.005868765 0.0044696513 0.0016902044 0.0041128304 0.006657527 0.0024977464 0.0025822567 0.0038123499 0.001183143 0.010770357 0.0009108323 0.0016808143 0.0013052133 0.0019812952 0.0016338641 0.0019061749 0.003079928 0.0013803336 0.0008357121 0.001539964 0.0019155649 0.0024601864 0.0012488732 0.0009202224 0.0017934946 0.0012019231 0.00095778244 0.0010610727 0.0010610727 0.0037090594 0.001164363 0.0013521635 0.00049767125 0.0019061749 0.0009108323 0.0011268029 0.00088266225 0.01199106 0.0033146786 0.0013146034 0.005558894 0.0025916467 0.0008263221 0.0010141226 0.0012488732 0.0035869891 0.001183143 0.0008638822 0.0013146034 0.001990685 0.0009014423 0.0029578577 0.0026385968 0.004272461 0.0021221454 0.0013521635 0.0012770433 0.0047983024 0.0017465445 0.003493089 0.033907376 0.019417476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008618401 0.000109033674 9.955249e-05 7.110892e-05 9.955249e-05 5.214654e-05 0.00039820996 8.533071e-05 3.3184162e-05 9.481189e-06 3.7924758e-05 2.3702973e-05 1.8962379e-05 1.8962379e-05 1.4221784e-05 1.8962379e-05 0.007565989 1.8962379e-05 9.481189e-06 4.7405947e-06 0.00033658222 0.000175402 0.001028709 0.0005072436 1.4221784e-05 1.4221784e-05 4.7405947e-06 1.4221784e-05 4.7405947e-06 4.7405947e-06 0.0 4.7405947e-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 0.0071393354 0.00073953276 0.00018962378 0.00018962378 0.00018488319 0.00017066141 0.00019910498 0.00016118021 0.00016118021 8.059011e-05 8.533071e-05 8.059011e-05 8.533071e-05 8.059011e-05 8.533071e-05 7.5849515e-05 0.00566027 0.00014695844 0.0007158298 0.00013747724 0.0005973149 0.00029391688 0.0012467764 0.00076797634 1.8962379e-05 9.481189e-06 1.4221784e-05 1.4221784e-05 9.481189e-06 1.4221784e-05 0.0 6.162773e-05 0.03897243 0.0023323726 0.0037877352 0.0015975804 0.004560452 0.0029202064 0.017127769 0.008367149 0.0016639488 0.0013084041 0.00046457828 0.00047880007 0.000981303 0.00048354064 0.00037450698 0.0019578657 0.0050582145 0.00030339806 0.00020858616 0.00029865745 0.00032710104 0.00020384557 0.00014221785 0.00043139412 0.00083434465 1.4221784e-05 9.481189e-05 7.5849515e-05 0.0007869387 0.0001801426 0.00031287925 0.0004361347 0.009348453 0.00022754855 0.0009433783 0.00051672483 0.0015122497 0.001426919 0.0066842386 0.0033990063 0.0006162773 0.0020431962 0.00021806735 0.00026073272 0.00021806735 0.0002844357 0.0001659208 0.0012609982 0.004057949 0.0005404278 0.00049302186 0.00016118021 0.00038872877 0.00024177032 0.0006968674 0.0005309466 0.00047405946 0.00030339806 0.00030339806 0.00030339806 0.00030339806 0.00030339806 0.00030339806 0.00030339806 0.08121113 0.014757471 0.015497004 0.009898362 0.025731947 0.018289214 0.009291566 0.013373218 0.039015096 0.0029202064 0.0034795965 0.00533791 0.023138842 0.006840678 0.012249697 0.019938942 0.08713687 0.017985817 0.017023476 0.017635012 0.034378793 0.030837568 0.012534132 0.025812538 0.05700091 0.0040484676 0.0062955096 0.007366884 0.035606608 0.011311059 0.02176407 0.040446755 0.006067961 0.0043992717 0.004432456 0.0044040126 0.0046363017 0.004479862 0.006162773 0.0047880006 0.0044751214 0.00446564 0.0044751214 0.0056744916 0.0044751214 0.0056792325 0.0045083053 0.00454623 534.0 12.142323 6484.0 0.040098704 0.0010795805 0.0010795805 0.0020049352 0.012954966 0.0007711289 0.0016964837 0.0012338063 0.002159161 0.0018507094 0.0009253547 0.0026218384 0.0030845157 0.004318322 0.0052436767 0.0018507094 0.007094386 0.0029302898 0.0041640964 0.004935225 0.0020049352 0.0013880321 0.0044725477 0.0012338063 0.004318322 0.0040098703 0.0020049352 0.0030845157 0.0026218384 0.002159161 0.0013880321 0.0012338063 0.0029302898 0.008173967 0.002159161 0.009407773 0.010795805 0.0069401604 0.009407773 0.00987045 0.0047809994 0.0077112895 0.0018507094 0.0010795805 0.010024676 0.007094386 0.003547193 0.0044725477 0.018969772 0.0044725477 0.010178902 0.025909932 0.011258482 0.004935225 0.016656386 0.023904996 0.0010795805 0.0038556447 0.0013880321 0.0033929674 0.0026218384 0.0038556447 0.0046267738 0.0046267738 0.0010795805 0.04580506 0.008173967 0.024830353 0.022979641 0.08544108 0.008636644 0.010950031 0.015885256 0.044725478 0.0046267738 0.0046267738 0.034238126 0.016502159 0.043491673 0.045959283 0.014342998 0.0009253547 0.044417027 0.029457126 0.06677976 0.0197409 0.0066317087 0.0053979023 0.004935225 0.008173967 0.0023133869 0.0006169031 0.0009253547 0.00046267736 0.0016964837 0.0012338063 5.5976005 0.0 0.0 0.0 3.0 106496.0 217088.0 0.0 0.0 174.0 0.0 0.0 0.0 0.0 0.0 1322696700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 77824.0 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 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 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.699268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.683938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77142.0 0.0 85348.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 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 -1.0 -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 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 101004.0 85348.0 131072.0 0.0 0.0 7312.0 6499544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 100216.0 0.0 0.0 720.0 81920.0 0.0 0.0 0.0 0.0