Input: 0.25838402 0.008317427 0.004289107 0.0032792524 0.0057539507 0.0060369316 0.0009488193 0.001143022 0.0037897283 0.0009987571 0.0015092329 0.0009543679 0.0019975142 0.0019309304 0.0007490678 0.0033957742 0.004178134 0.0009876598 0.0006547408 0.00055486505 0.002064098 0.0028020686 0.0006048029 0.0004494407 0.0017644708 0.00058260834 0.00037175958 0.0005049272 0.00090443005 0.0008045543 0.0003273704 0.00054376776 0.005143599 0.00047163529 0.0003606623 0.00044389206 0.016235352 0.0007490678 0.00040505148 0.0004827326 0.001492587 0.00032182175 0.00031072443 0.0064031426 0.0007102273 0.00082674896 0.00061035156 0.0057705967 0.007068981 0.006242232 0.006097967 0.007967862 0.0061035156 0.0060424805 0.005953702 0.005537553 0.0068636807 0.00690807 0.0002940785 0.0024469548 0.0008156516 0.00075461646 0.00033846768 0.0013205789 0.003318093 0.009515936 0.0073131216 0.007451838 0.0107754795 0.0078125 0.0068359375 0.0064419834 0.020574396 0.008084384 0.0064530806 0.0063587534 0.009859952 0.007068981 0.006591797 0.0065196645 0.007890181 0.006719416 0.0069802026 0.0076737837 0.0076793325 0.0068581323 0.007479581 0.007024592 0.007013494 0.0060646753 0.0059647993 0.0008988814 0.001858798 0.0010819868 0.001032049 0.0026910955 0.0010597922 0.0069913 0.0056984643 0.006985751 0.007512873 0.008145419 0.008039995 0.0061534536 0.0071577593 0.007085627 0.0069191675 0.005526456 0.0074851294 0.006336559 0.007007946 0.0072021484 0.0072354404 0.0056596235 0.007779208 0.0068803267 0.012179288 0.009094238 0.0061090644 0.006142356 0.0064697266 0.0063864966 0.005576394 0.00030517578 0.0013372247 0.00044389206 0.00047718396 0.00034401633 0.0023859197 0.0011652167 0.00037175958 0.0064752754 0.008461692 0.0034013228 0.0002940785 0.00032182175 0.0028409092 0.0072520864 0.0008877841 0.014604048 0.00094327057 0.0036621094 0.00022194603 0.00020530006 0.0034401633 0.00017755682 0.00021084872 0.00025523792 0.0008711381 0.00030517578 0.00032182175 0.00035511365 0.0004494407 0.00021084872 0.00023304332 0.00018865411 0.00087668677 0.00021084872 0.00016645952 0.00022194603 0.0011652167 0.00064919214 0.00031627307 0.0011485707 0.00082120026 0.0012761896 0.0003606623 0.00025523792 0.0008045543 0.0002940785 0.00026633524 0.00041060013 0.00040505148 0.00023304332 0.00049937854 0.0003273704 0.0007490678 0.00058260834 0.00033291904 0.00044389206 0.00068803265 0.00018865411 0.00037730823 0.00049937854 0.0011985085 0.0015425249 0.0007657138 0.00048828125 0.00041060013 0.00031072443 0.00097101385 0.0010708895 0.004178134 0.0017367277 0.0008156516 0.0027854226 0.0019642224 0.00044389206 0.0072798296 0.0044666636 0.0015036843 0.0013094816 0.00062144885 0.0006380948 0.0032903499 0.0005049272 0.00047163529 0.00058260834 0.001159668 0.00075461646 0.0010375977 0.00035511365 0.0003939542 0.00031627307 0.0004161488 0.00029962714 0.0010819868 0.00047163529 0.00027188388 0.0006436435 0.0003828569 0.00024414062 0.000571511 0.000460538 0.0010209517 0.00037730823 0.00029962714 0.00027188388 0.00057705963 0.00030517578 0.00032182175 0.0002940785 0.0053378018 0.001270641 0.0005049272 0.0017866655 0.0013705167 0.0003828569 0.00025523792 0.00020530006 0.0014149059 0.0004161488 0.00037175958 0.001270641 0.00043834338 0.00024414062 0.0010209517 0.00077126245 0.0021084873 0.0006713867 0.0004494407 0.0003828569 0.00081010297 0.0006159002 0.001143022 0.013305664 0.06841518 0.0 1.674107e-05 5.580357e-06 2.7901786e-05 3.348214e-05 3.348214e-05 3.90625e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03514788 0.00043247768 0.0005022322 0.0002204241 0.0004017857 0.00053850445 0.0013839286 0.0006752232 5.859375e-05 6.975447e-05 5.580357e-05 0.00010881697 0.00014508929 4.7433037e-05 6.696428e-05 0.00014508929 0.014416853 0.00019810267 0.00036830356 8.370536e-05 0.00022321429 0.00014508929 0.00022879464 0.00022321429 0.0004436384 0.0002734375 0.00010044643 6.138393e-05 8.0915175e-05 0.00010881697 5.301339e-05 0.00013392857 0.004561942 6.138393e-05 4.185268e-05 4.7433037e-05 3.6272322e-05 4.185268e-05 3.0691965e-05 4.185268e-05 0.00011160714 3.90625e-05 0.0005217634 3.6272322e-05 3.348214e-05 3.348214e-05 2.2321428e-05 5.301339e-05 0.017003348 0.00067801337 0.0006194196 0.00038783482 0.00024274553 0.00047991073 0.0005691964 0.00048270088 0.00089006696 0.0003236607 0.00015904018 3.90625e-05 0.00023716518 0.000103236605 0.00016741072 0.00047433036 0.01826451 0.00016183035 0.0012109375 0.0005970982 0.0007142857 0.00046875 0.0036774552 0.0020842634 0.00031529018 0.00013671875 0.00020089286 0.00034877233 0.00013392857 0.00010881697 5.301339e-05 9.4866075e-05 0.005345982 6.975447e-05 5.301339e-05 7.533482e-05 0.00077566964 0.00055524556 0.0028515626 0.0013922991 5.301339e-05 3.348214e-05 5.0223214e-05 4.4642857e-05 2.5111607e-05 3.348214e-05 1.953125e-05 5.0223214e-05 0.0070117186 0.00057756697 0.0055552456 0.02657087 0.0407673 0.030217635 0.040859375 0.029469866 0.00037109375 8.0915175e-05 0.0001311384 0.0002873884 0.00027064732 0.00021484375 0.00015345983 0.00031808036 0.032243304 0.0019754465 0.010106027 0.027421875 0.043058034 0.03172154 0.040934708 0.030228795 0.0064118304 0.0010491072 0.0008091518 0.0012360491 0.004079241 0.0009123884 0.0007952009 0.0013030134 0.020184152 0.0009235491 0.0046651787 0.0034793527 0.0065792412 0.004252232 0.0056054685 0.004126674 0.00452567 0.00073381694 0.00095982145 0.0006947545 0.0036774552 0.0005970982 0.00078962056 0.001063058 0.005625 0.0005440848 0.000906808 0.0009514509 0.0015039062 0.0013727678 0.00084542413 0.0010128348 0.0020675224 0.00020647321 0.00018415178 0.0002483259 0.0007561384 0.00015904018 0.00025669642 0.0005022322 0.051791295 0.0072265626 0.01015625 0.00750279 0.024818638 0.009693081 0.005438058 0.007915736 0.023816964 0.0032282367 0.004076451 0.0057561384 0.014765625 0.0040513393 0.007433036 0.012329799 0.021378348 0.0052539064 0.0066489954 0.0036495535 0.01233817 0.005638951 0.0032449777 0.0051171873 0.014609375 0.0023186384 0.0019921875 0.0017633928 0.00843192 0.0024748885 0.004790737 0.008920201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 499.0 138.26654 68995.0 0.002000145 0.00018841945 8.696282e-05 8.696282e-05 0.0012174796 0.0003043699 0.00013044424 5.7975216e-05 0.00010145663 7.246902e-05 4.348141e-05 0.014305385 0.00013044424 7.246902e-05 0.00081165304 0.014218422 0.014464816 0.0143488655 0.0144938035 0.014334372 0.013725632 0.013972027 0.014696717 0.013928546 0.015334444 0.015899703 0.00017392564 0.00028987607 0.00011595043 0.00010145663 5.7975216e-05 0.0003043699 0.0008406406 0.018276686 0.014696717 0.016320024 0.016566418 0.016305529 0.015667802 0.015102544 0.01616059 0.015261975 0.014812668 0.014508298 0.016291035 0.014769186 0.015537358 0.015638815 0.015030075 0.014696717 0.015899703 0.01679832 0.016204072 0.0155083705 0.0154359015 0.015276469 0.015537358 0.0140589895 0.014218422 0.00010145663 0.00055076455 0.0004348141 0.00040582652 0.0044640917 0.00023190086 0.01642148 0.0139140515 0.016015653 0.016653381 0.019059353 0.014696717 0.015305457 0.014986593 0.016754838 0.015189506 0.013624175 0.017102689 0.015261975 0.016320024 0.016928762 0.014769186 0.0141314585 0.017117182 0.016262049 0.018494094 0.015189506 0.014943112 0.0146387415 0.01436336 0.015638815 0.014015509 4.348141e-05 0.00017392564 4.348141e-05 7.246902e-05 0.00018841945 6.0695777 2.0 0.0 0.0 21.0 180224.0 6729728.0 0.0 0.0 91.0 0.0 0.0 0.0 0.0 0.0 1290243800.0 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 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 36864.0 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 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 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 3518464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.101631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0648003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.25083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3164316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35786.0 0.0 3515476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -2.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 41440.0 3515476.0 3211264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 392.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.009233039 0.0039857575 0.0037875697 0.003910962 0.0038535658 0.0038799641 0.0039397604 0.0040191556 0.0038597654 0.0037945693 0.0038041687 0.003878764 0.0039007629 0.0039263614 0.0038985629 0.0039495598 0.0038033687 0.0038401666 0.0037525718 0.0038343668 0.0037949693 0.0037903695 0.0039011629 0.0039223614 0.00394276 0.0038871637 0.0038991629 0.0039383606 0.003896763 0.0038273672 0.0039517595 0.0039919573 0.0038595654 0.0037909695 0.0037639712 0.0039225616 0.0037731705 0.00378377 0.0038587654 0.003932961 0.0038707647 0.0038107682 0.003832167 0.0038073685 0.0037913695 0.003866765 0.0038117683 0.00395096 0.003833567 0.003832367 0.0038121683 0.0039665587 0.0038705647 0.0038227676 0.0038555656 0.0038777643 0.0038457662 0.0038045687 0.0039023627 0.0039119623 0.0038723645 0.00394676 0.003928561 0.004012556 0.0038947633 0.0038901635 0.0037937693 0.0039057625 0.003733173 0.003883164 0.0039259614 0.0039233617 0.0038073685 0.0037915695 0.0038251674 0.0038687647 0.003831967 0.003897363 0.0038369668 0.0039377604 0.003831767 0.0038243674 0.0038285672 0.0038427664 0.003814368 0.0038283672 0.0038517658 0.0038525658 0.0038051687 0.003849566 0.00394236 0.0038797641 0.0038849637 0.0038927633 0.0038993629 0.0039701588 0.0038705647 0.0038865637 0.0038211676 0.0038515658 0.0038355668 0.0039123623 0.0039029627 0.0039083622 0.0038797641 0.003898363 0.0038287672 0.0039073625 0.0039095622 0.0039693587 0.0039707585 0.0039943573 0.0038287672 0.0038637652 0.0038515658 0.0038679647 0.003928361 0.0038409664 0.003924561 0.0038701647 0.003896363 0.0038929633 0.0039297612 0.00394556 0.0038905635 0.0039391606 0.004043954 0.0040677525 0.0039255614 0.003850366 0.0038385666 0.0039577596 0.0037927695 0.0038437664 0.0039039627 0.0038575653 0.0038383666 0.003796569 0.0038177678 0.0039219614 0.0038565656 0.0038739645 0.003901363 0.0039033627 0.0038627652 0.0038693647 0.003766171 0.0038587654 0.003832367 0.0038285672 0.0038355668 0.0038513658 0.0038201676 0.0038551656 0.0038631652 0.0038695647 0.003831767 0.0038469662 0.0039089625 0.0039549596 0.0039417604 0.003847966 0.0038517658 0.003910962 0.0038373666 0.0038593654 0.0038343668 0.003865565 0.003833367 0.0037549718 0.00378337 0.0038447662 0.003797569 0.0038749643 0.0038563656 0.003964559 0.0038171678 0.0038741645 0.0038899635 0.003865765 0.0038943633 0.0039001629 0.00394716 0.0039119623 0.003915362 0.0038567656 0.0038721645 0.0039389604 0.003914162 0.003929961 0.00394516 0.00411415 0.0038365668 0.003895763 0.0038127683 0.0038995629 0.0038797641 0.0038713645 0.0038457662 0.003895963 0.003881764 0.0038467662 0.0038591654 0.003879164 0.003925361 0.0038191678 0.0038061687 0.0038987629 0.0039383606 0.0038985629 0.0039259614 0.0038919633 0.0038407664 0.003864965 0.003913762 0.003979758 0.0039211614 0.003933761 0.0038857637 0.003912562 0.003897363 0.0039027627 0.003914962 0.0039917575 0.0039533596 0.003848366 0.0038745643 0.003917162 0.0038519658 0.0039259614 0.0038281672 0.0039027627 0.0040075565 0.0038725645 0.0038337668 0.003881964 0.0039099623 0.003927761 0.003883764 0.003920362 0.003980958 0.003917962 0.003884364 0.0038849637 0.0039573596 0.0038775643 0.0039777583 0.0040407544 0.003961559 0.00395236 0.0039709588 0.003981158 0.004042554 0.004064553 0.0040921513 0.004226543 0.002458009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017162856 0.0 3.900649e-06 4.1006824e-06 9.0014976e-07 6.0009984e-07 1.5402564e-05 8.201365e-06 0.0 0.0 0.0 1.0001664e-07 0.0 0.0 0.0 0.0 0.00017172858 9.0014976e-07 2.6004327e-06 3.1005159e-06 2.500416e-06 1.8002995e-06 1.2602097e-05 4.6007654e-06 2.0003328e-07 0.0 2.0003328e-07 1.0001664e-07 1.0001664e-07 0.0 1.400233e-06 3.0004992e-06 0.00015922649 6.0009984e-07 5.8009655e-06 5.8009655e-06 1.08017975e-05 5.9009817e-06 6.0009984e-07 7.001165e-07 1.3002164e-06 2.0003329e-06 7.101182e-06 1.9003162e-06 1.2001997e-06 6.0009984e-07 7.001165e-07 6.0009984e-07 0.0004632771 1.490248e-05 1.6002663e-05 1.2102014e-05 2.9404893e-05 1.5602596e-05 2.6004327e-06 5.600932e-06 1.5702613e-05 3.5005826e-06 1.610268e-05 2.800466e-06 2.9004827e-06 7.701282e-06 3.3005492e-06 3.0004992e-06 0.0005461909 3.310551e-05 2.3603927e-05 6.701115e-06 8.201365e-05 5.4109005e-05 3.3005492e-06 3.5005826e-06 2.0003328e-05 3.8006324e-06 1.7202863e-05 4.700782e-06 3.8006324e-06 1.1201864e-05 3.2005325e-06 2.9004827e-06 0.00012992162 5.000832e-06 3.3005492e-06 5.9009817e-06 5.8009655e-06 6.101015e-06 1.8903145e-05 4.700782e-06 2.1003495e-06 0.0 2.0003328e-07 1.5002496e-06 3.0004992e-07 0.0 4.1006824e-06 1.7002829e-05 0.00035435896 1.9703279e-05 1.6002663e-05 2.1703612e-05 3.540589e-05 2.8504743e-05 1.8103012e-05 6.701115e-06 3.250541e-05 1.6002663e-05 8.401398e-06 3.8006324e-06 1.7202863e-05 4.200699e-06 2.800466e-06 2.9104844e-05 0.0007758291 2.6504411e-05 2.560426e-05 7.661275e-05 1.5302547e-05 2.6404394e-05 9.821634e-05 9.411566e-05 0.00011491912 5.0808456e-05 1.1201864e-05 2.7604594e-05 5.480912e-05 1.4502413e-05 1.8603096e-05 0.00020763456 8.761458e-05 1.5002496e-06 7.801298e-06 5.300882e-06 2.500416e-06 1.2302047e-05 5.2008654e-06 0.0 1.7002829e-05 6.0009984e-06 4.8007987e-06 4.300716e-06 6.801132e-06 9.1015145e-06 0.0 3.4605757e-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 0.00013982327 1.7202863e-05 2.3603927e-05 2.0003328e-05 2.1503578e-05 1.4202364e-05 4.1506908e-05 2.7204527e-05 1.8303046e-05 1.0001664e-05 1.0001664e-05 1.1801963e-05 1.0901814e-05 1.0601764e-05 1.2602097e-05 2.0403395e-05 8.101348e-05 4.410734e-05 2.620436e-05 3.0905143e-05 3.6806123e-05 2.2703778e-05 1.9603262e-05 3.6306043e-05 4.320719e-05 1.7002829e-05 3.480579e-05 2.3703944e-05 2.0703445e-05 3.3505574e-05 3.6406058e-05 0.00010751789 0.062051527 0.061814588 0.061272696 0.0619061 0.061505534 0.061613753 0.062111236 0.062393382 0.061615855 0.06155094 0.061551243 0.062507 0.061737474 0.062526405 0.06225936 0.06338955 23657.0 5.6768823 134298.0 0.010714977 0.0105139315 0.010551162 0.01063307 0.010446916 0.009501259 0.01053627 0.010647962 0.01020864 0.010365009 0.010543716 0.010163964 0.010044825 0.010469255 0.010603285 0.011042607 0.010863899 0.010119287 0.010283101 0.010037379 0.010297994 0.010096949 0.010424579 0.010163964 0.010603285 0.009761873 0.009873564 0.010670301 0.010461809 0.010126733 0.01063307 0.010223533 0.010417132 0.010491594 0.009948026 0.010700085 0.010052272 0.010625623 0.010015042 0.010700085 0.01011184 0.010260764 0.010379901 0.010312886 0.010819223 0.010670301 0.009948026 0.010387347 0.010037379 0.01049904 0.01040224 0.010826669 0.010253318 0.010521377 0.010327779 0.010551162 0.009821442 0.010826669 0.011526605 0.010990484 0.010275655 0.010640516 0.010849007 0.010149072 0.010543716 0.010409686 0.01017141 0.010119287 0.010528824 0.011481929 0.010737316 0.010156518 0.010216086 0.010930914 0.009650181 0.010566055 0.010446916 0.01043947 0.011236206 0.010968146 0.0109234685 0.010193748 0.010543716 0.0105139315 0.010685192 0.010059718 0.0105139315 0.010134179 0.009888457 0.010819223 0.010141625 0.010029933 0.009895903 0.010119287 0.011012822 0.009955472 6.5840607 0.0 0.0 0.0 73.0 5000304.0 2428928.0 0.0 0.0 16.0 0.0 1.0 0.0 0.0 119.0 1252547200.0 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 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 0.0 2.0 56.0 4.0 0.0 4.0 0.0 1946624.0 512.0 4096.0 2.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -828416.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999687 0.0 3.5953388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2383872.0 0.0 40960.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 866.0 2424260.0 35750.0 2387968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12182435 0.008131603 0.004571019 0.0047420985 0.010981139 0.0033681195 0.0027907274 0.002972499 0.011243103 0.0017054445 0.0020422565 0.0016412899 0.006089346 0.0015557504 0.0016092126 0.00483833 0.008372183 0.0013365553 0.0011868611 0.0009088576 0.0033093109 0.0020101792 0.0008553954 0.0008821265 0.002705188 0.0006736239 0.00080727943 0.0008126256 0.0023737221 0.00083401054 0.00077520206 0.00080727943 0.0047955606 0.00067897013 0.00086074165 0.00058273814 0.008692956 0.003384158 0.0006575852 0.00060946925 0.0020582953 0.00086074165 0.0006736239 0.0012456696 0.001619905 0.0008821265 0.0006950088 0.0004758137 0.0035124675 0.0013632864 0.00080727943 0.009783585 0.0010264745 0.000556007 0.0005613532 0.0005453146 0.0031916942 0.0007805483 0.0039027415 0.0026944955 0.0022988752 0.0012349772 0.000604123 0.00060946925 0.015685814 0.009275694 0.0066346605 0.0050094095 0.0039134338 0.020481374 0.0030580387 0.001571789 0.0019674094 0.0012189385 0.00096231984 0.0010478593 0.0013900176 0.002683803 0.001133399 0.0010638981 0.009446773 0.013846713 0.002031564 0.008719687 0.0030313074 0.011371412 0.0061909244 0.0037156239 0.001545058 0.00696078 0.003555237 0.0065063513 0.0009462812 0.0046084425 0.005143065 0.003330696 0.001379325 0.0029885378 0.0009035114 0.0018070228 0.008382875 0.0038065095 0.0051109875 0.001112014 0.008270605 0.0020850264 0.0039027415 0.0006308541 0.0025073779 0.0016412899 0.0020262178 0.0024699543 0.0021812583 0.00043839015 0.0036193917 0.0030152688 0.01144626 0.0071158204 0.00096766604 0.0010692442 0.0020208717 0.0011440914 0.00043839015 0.0009516274 0.0022774902 0.0024111457 0.0015343655 0.0013900176 0.004282323 0.002175912 0.00045977504 0.010227322 0.003555237 0.005870151 0.00035819682 0.0005987768 0.0018177152 0.017225524 0.0023362988 0.06842094 0.00071104744 0.010147128 0.0003261195 0.0005666995 0.0032986186 0.0004276977 0.0006682777 0.00044908258 0.00076985586 0.0009142038 0.00033681194 0.0003528506 0.00086608785 0.0005720457 0.0002780035 0.0013312091 0.00074312475 0.00043304393 0.00048650615 0.00044908258 0.0011494376 0.0029029981 0.00041165904 0.0018177152 0.0007805483 0.0006575852 0.00039027416 0.00028869594 0.0007324323 0.00051323726 0.0006308541 0.00060946925 0.0008874727 0.0007270861 0.0006896625 0.0004971986 0.001764253 0.0006736239 0.0014648646 0.0006950088 0.00084470294 0.0008874727 0.002657072 0.0016680211 0.0036300842 0.0028709208 0.0025234164 0.0006682777 0.0009783584 0.00033681194 0.0008126256 0.00084470294 0.016375476 0.0012510158 0.0024859929 0.016348744 0.0041700527 0.0008179719 0.0057044183 0.003186348 0.0016626748 0.0016412899 0.000748471 0.00086074165 0.0011654763 0.00041700527 0.00083935674 0.000556007 0.0028976519 0.00083935674 0.003143578 0.002683803 0.0019674094 0.0009035114 0.0022133356 0.0016092126 0.006468928 0.0013900176 0.0016359438 0.0029671527 0.001978102 0.0011922073 0.00061481545 0.0011494376 0.002437877 0.0005987768 0.0009569736 0.00073777855 0.0023309526 0.0014434798 0.0005025448 0.0007591634 0.030794235 0.0053996835 0.0009035114 0.007661135 0.0056135324 0.0007217399 0.0008500492 0.0006629314 0.0064635817 0.00087143405 0.0019460246 0.00096766604 0.003865318 0.00052392966 0.0021064111 0.0014595184 0.0076450966 0.0014809032 0.0016573286 0.0019727557 0.010532056 0.005656302 0.008623455 0.07140948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008273805 0.00036958305 0.00039655992 0.0011087492 0.0018560083 0.00041004835 0.001006237 0.0008416782 0.0005017697 0.00012679126 8.362828e-05 0.00015107045 0.0002643733 0.00056651415 0.00031562932 0.0003021409 0.006668681 0.00034800154 0.00021581491 0.0010952607 0.002409034 0.00036958305 0.0020367533 0.0016644725 0.00023200104 0.00019423342 0.00019153574 7.0139846e-05 0.00014027969 0.0004154437 0.00032911776 0.00019423342 0.018489944 0.0010736792 0.0018101477 0.002193219 0.006881798 0.0032048514 0.005559932 0.0035474577 0.00216894 0.00039116453 0.00060967717 0.0013650294 0.0016725656 0.0017750777 0.0012544242 0.0032507123 0.045771647 0.0057083047 0.005816212 0.006382726 0.017168077 0.02083693 0.012603591 0.008775574 0.028401243 0.002263359 0.0024360109 0.0058081187 0.012304148 0.006212772 0.0146484375 0.03138219 0.10930756 0.021201119 0.020599535 0.022825126 0.048838917 0.06640625 0.027796961 0.02730868 0.098079786 0.009387949 0.0103429295 0.016005374 0.044082895 0.02476746 0.04588495 0.09224739 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 863.0 9.577057 8265.0 0.004597701 0.00012099213 0.00048396853 0.0 0.0075015123 0.0019358741 0.00012099213 0.0003629764 0.0015728978 0.0007259528 0.002782819 0.0 0.0010889292 0.0016938898 0.0013309135 0.00060496066 0.0008469449 0.0015728978 0.0014519056 0.0021778585 0.0014519056 0.00024198426 0.0007259528 0.0003629764 0.00048396853 0.00048396853 0.0008469449 0.0015728978 0.0016938898 0.00060496066 0.00048396853 0.00048396853 0.0064125834 0.012099214 0.013188142 0.015728978 0.008953418 0.02032668 0.010647308 0.0104053235 0.008832426 0.01246219 0.0007259528 0.00096793706 0.007259528 0.009316394 0.005444646 0.006049607 0.009800363 0.0073805205 0.009195402 0.025892317 0.028675135 0.010889292 0.011131276 0.0066545676 0.0016938898 0.016938899 0.0058076223 0.016091954 0.0013309135 0.013309135 0.015245009 0.01754386 0.0003629764 0.046218995 0.0056866305 0.024682395 0.018027829 0.074047185 0.008953418 0.012583182 0.023351483 0.037628554 0.0032667876 0.0042347247 0.037628554 0.02032668 0.03569268 0.044888083 0.020689655 0.00012099213 0.058802176 0.03508772 0.06267393 0.010284332 0.00508167 0.0049606776 0.0049606776 0.010042347 0.00096793706 0.0 0.00048396853 0.00024198426 0.0008469449 0.0003629764 5.524183 0.0 0.0 0.0 1.0 187048.0 1511424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1132032.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -54272.0 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 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1132032.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 265216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.561675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -53916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 6685.0 0.0 0.0 0.0 0.0 0.0 -20352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1131920.0 0.0 0.0 0.0 0.0 0.0 0.0 -10900.0 265216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10900.0 1167360.0 265216.0 1245184.0 0.0 0.0 0.0 0.0 53916.0 1187840.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1183744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.021071032 0.0043158038 0.0038481771 0.0040708566 0.004482813 0.0038537441 0.003734054 0.0038857544 0.0041237427 0.0037493634 0.0038509606 0.0036769926 0.0038676616 0.0037646724 0.0037048275 0.0038231257 0.003941424 0.003717353 0.00372292 0.0038245176 0.0036171474 0.0036978687 0.003718745 0.0037549303 0.0036950852 0.00360323 0.0036547245 0.0037604973 0.0037855487 0.0038050332 0.0035781786 0.0035127664 0.004762554 0.0036561163 0.0036449824 0.0036561163 0.0040263208 0.003933074 0.00372292 0.003608797 0.0038175588 0.003870445 0.0036157556 0.0036756007 0.0037257036 0.0038342597 0.003827301 0.0036769926 0.003920548 0.003855136 0.0036491575 0.004442453 0.0036923017 0.0035934877 0.0036616833 0.0038036413 0.003832868 0.003717353 0.003870445 0.003965084 0.0036895182 0.0037716313 0.0037368375 0.0037159615 0.005455644 0.003696477 0.00363524 0.00401797 0.003739621 0.0043672984 0.003931682 0.003685343 0.003741013 0.0036936936 0.0037925073 0.003618539 0.0037479715 0.003882971 0.0036213226 0.0036338484 0.0040931245 0.003668642 0.0037382294 0.0040499805 0.0036171474 0.004212815 0.0038481771 0.003871837 0.0037117861 0.003987352 0.0038231257 0.00377859 0.0036101886 0.003864878 0.003871837 0.0037869404 0.0037465799 0.0040805987 0.003728487 0.0038147753 0.0040917327 0.0044215764 0.0041808044 0.0036672503 0.0039998777 0.00397761 0.0038398267 0.0036602914 0.0039678672 0.0038064248 0.0040499805 0.0039678672 0.003838435 0.0036046216 0.004201681 0.0040778155 0.004731936 0.0043561645 0.0038189506 0.003729879 0.003761889 0.0038467855 0.0037813734 0.0037048275 0.003761889 0.003569828 0.0035990546 0.0037591055 0.0041000834 0.0036435905 0.0037145696 0.00428101 0.0037270954 0.003855136 0.0036895182 0.0037771983 0.0037145696 0.0045092567 0.0037535385 0.0064270822 0.0037201366 0.004189155 0.0036074051 0.003619931 0.003859311 0.0036157556 0.003657508 0.003624106 0.0035907042 0.0036115805 0.003773023 0.0038356516 0.0036714254 0.003920548 0.0036324565 0.0036366319 0.0036602914 0.0036449824 0.003624106 0.0036018381 0.0036505493 0.0036978687 0.0036018381 0.0037145696 0.0037437964 0.0036602914 0.0035517353 0.0037591055 0.0035586942 0.0035948795 0.0037549303 0.0036505493 0.0038175588 0.0036700338 0.0037103945 0.003702044 0.0037591055 0.0036700338 0.0037257036 0.0038523525 0.0035447767 0.0036324565 0.0035962712 0.003717353 0.0038899295 0.0038286927 0.0036950852 0.003612972 0.003734054 0.0036477658 0.0037437964 0.00363524 0.004588586 0.0036839512 0.0036881266 0.004545442 0.0041028666 0.0037312706 0.0040165787 0.0037799818 0.0036561163 0.003838435 0.003827301 0.003724312 0.0040110117 0.0036881266 0.003773023 0.0036783842 0.0037577138 0.003728487 0.0038119918 0.0036756007 0.0038133836 0.0037062191 0.0037479715 0.0038412185 0.0038968883 0.003756322 0.0036867347 0.0037257036 0.0037312706 0.003521117 0.003608797 0.0036421989 0.0036157556 0.0037646724 0.0035726116 0.003521117 0.0036018381 0.0036700338 0.0036756007 0.0036728173 0.005251057 0.003877404 0.0037006522 0.004172454 0.004045805 0.0036477658 0.00369091 0.0036602914 0.003972043 0.0035252923 0.0037382294 0.003729879 0.0037312706 0.0036477658 0.0035990546 0.003882971 0.003981785 0.0036672503 0.0038161671 0.003952558 0.0039998777 0.0038787955 0.0037855487 0.008424237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010407366 1.1160714e-05 1.1160714e-05 3.9760045e-05 3.8364957e-05 1.1160714e-05 0.00010602678 5.9291295e-05 5.231585e-05 1.3950893e-06 3.4877232e-06 4.8828124e-06 2.092634e-05 4.1852677e-06 4.8828124e-06 1.8833705e-05 0.0014153181 1.3950893e-05 8.161272e-05 1.3950893e-05 0.00015555245 6.0686383e-05 0.0007282366 0.0003843471 0.0 0.0 0.0 0.0 6.9754464e-07 6.9754464e-07 1.3950893e-06 6.9754464e-07 0.001531808 2.5111607e-05 0.00024623325 3.766741e-05 5.998884e-05 3.6969865e-05 0.00053850445 0.00028669086 1.3950893e-06 1.3950893e-06 1.3950893e-06 3.4877232e-06 1.953125e-05 2.0926338e-06 2.5809151e-05 3.90625e-05 0.0026060268 3.348214e-05 0.0006236049 0.00035505023 0.00015834263 7.533482e-05 0.0008698382 0.0004596819 8.5100444e-05 9.207589e-05 2.1623884e-05 1.4648437e-05 0.00010184152 9.207589e-05 1.8833705e-05 0.00010672433 0.0018687221 5.092076e-05 0.00011788504 6.766183e-05 0.0002511161 0.00012625557 0.00066824775 0.00033203125 9.137835e-05 3.4179688e-05 1.3950893e-05 4.2550222e-05 9.83538e-05 0.00012067522 0.00016113282 0.0002406529 0.003146624 6.905692e-05 0.00024623325 0.0003111049 0.00036760603 0.00011021205 0.0003955078 0.00026785713 0.00031389509 0.00027762278 7.952009e-05 8.719308e-05 0.00038085936 0.000101143974 0.0002748326 0.00071358815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002721819 0.0003187779 0.00036342075 0.00040527343 0.0009493583 0.00093540736 0.00032226564 0.00060267857 0.0018387276 0.00014299665 0.0001248605 0.00024414062 0.0010532924 0.00040736608 0.0007393973 0.0016873605 0.0072726007 0.0010114397 0.0014027623 0.0013957869 0.002670201 0.0027106586 0.0017075893 0.0020472936 0.004313616 0.00048409597 0.00057756697 0.00091308594 0.002672991 0.0012674386 0.0022370256 0.0044587054 0.05771066 0.057885043 0.05797154 0.05831822 0.057629045 0.057516742 0.05770926 0.05773577 0.05769322 0.0579548 0.05804269 0.05800293 0.058021765 0.05769043 0.05771345 0.058118723 3344.0 6.5308013 21839.0 0.025275882 0.0087916115 0.010531617 0.007051605 0.009066349 0.010073721 0.007463712 0.0072347634 0.008562664 0.008516873 0.0090205595 0.008379505 0.009157929 0.009570035 0.011355831 0.0106689865 0.010348459 0.009386877 0.009203718 0.008700032 0.008333715 0.009478456 0.007921608 0.0087916115 0.008150556 0.008516873 0.008471084 0.007875819 0.010211091 0.008471084 0.008471084 0.008425294 0.009753194 0.010760566 0.008471084 0.009661615 0.009432666 0.0112642525 0.009753194 0.009707404 0.008379505 0.009112139 0.008379505 0.007463712 0.010806356 0.009570035 0.008013187 0.009386877 0.00897477 0.009386877 0.010485828 0.011447411 0.0101653 0.009570035 0.009066349 0.0087916115 0.008700032 0.0090205595 0.008379505 0.009707404 0.009341087 0.009936352 0.009066349 0.009112139 0.008837401 0.0168048 0.008516873 0.013278997 0.0135079445 0.027794313 0.010211091 0.009936352 0.010760566 0.016530061 0.0087916115 0.009615825 0.01666743 0.012225835 0.016209533 0.018361647 0.012729521 0.008379505 0.01936902 0.017629012 0.020193232 0.012683731 0.008837401 0.0114932 0.009478456 0.011081094 0.008562664 0.008058977 0.007051605 0.0073263426 0.0081963455 0.008333715 6.5165806 0.0 1.0 0.0 3.0 718522.0 81920.0 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 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 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 -37888.0 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 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.122556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.575597 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.502753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3720.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37732.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 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 2384.0 53248.0 11264.0 69632.0 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 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.10198221 0.010355718 0.0075590094 0.0036673038 0.011099568 0.00498878 0.026867935 0.0044215424 0.0073969415 0.0009911071 0.00140251 0.0014835439 0.0048848903 0.0039394945 0.0011386303 0.01036403 0.0435256 0.0009744847 0.0008705951 0.001221742 0.0109499665 0.0069980053 0.00140251 0.00091215095 0.0032683676 0.0074364194 0.0017017121 0.0017765126 0.010501164 0.000951629 0.0010388963 0.0017598904 0.0036299035 0.001683012 0.0014045878 0.0009890293 0.005429272 0.0011905752 0.000791639 0.00071060506 0.0014461436 0.0007147606 0.00063164893 0.0014793883 0.0012757647 0.0013443318 0.0009682513 0.00090591755 0.004949302 0.0030335772 0.0029213764 0.006617769 0.0030335772 0.0032434342 0.0026159408 0.0026429521 0.017964594 0.0033743351 0.0026907413 0.008841007 0.0035821144 0.004307264 0.0027987866 0.0036797705 0.00761511 0.0042594746 0.001712101 0.002734375 0.0025889296 0.008980219 0.0027177527 0.0022045379 0.001683012 0.0011178524 0.0006939827 0.00077293883 0.0014461436 0.0041410406 0.001452377 0.001292387 0.007962101 0.003634059 0.0014939328 0.004247008 0.0020570147 0.004438165 0.0067154258 0.0058843084 0.0012674534 0.0060650767 0.0008394282 0.0021712931 0.0010534409 0.002954621 0.0029795545 0.0031520112 0.0010513631 0.0026180185 0.0006565825 0.0019261137 0.0024455618 0.004616855 0.0017806683 0.0009952626 0.0035592585 0.0029670878 0.00912982 0.00066073803 0.0027281416 0.0010285074 0.0033431682 0.0030418884 0.0102040395 0.0056038066 0.0100627495 0.0030626662 0.020113032 0.010154172 0.0025099735 0.0016975565 0.0049119014 0.004109874 0.0010139628 0.0006129488 0.0010908411 0.0024767288 0.0014586104 0.0010056515 0.011251247 0.0027696975 0.0010181183 0.0076587433 0.0073678526 0.009917304 0.0011033078 0.00088306185 0.0019697472 0.01321476 0.0012051197 0.03462849 0.0015188664 0.008481549 0.0006025598 0.0004467254 0.0016622341 0.000390625 0.00036361368 0.00055477064 0.0010451296 0.0008331948 0.00039893616 0.00074800535 0.0026990524 0.0004217919 0.00036361368 0.00034491357 0.0009246177 0.00068151596 0.00043010307 0.00046334774 0.00090799533 0.0053731715 0.0004134807 0.00054230384 0.0009266955 0.0011448637 0.00038023604 0.00037608045 0.0009246177 0.0003615359 0.00036776927 0.00059424865 0.0009100731 0.00035322472 0.00038023604 0.00057762634 0.0010575964 0.00040932512 0.0003386802 0.0005900931 0.00097240694 0.00084773934 0.0014191323 0.0012591423 0.0015978225 0.0043945312 0.006191822 0.0017682015 0.0008851396 0.0006171044 0.0018056018 0.001743268 0.020399768 0.0022211603 0.0026865858 0.0029463097 0.0018658577 0.00067528256 0.002514129 0.0034782246 0.0023458279 0.0026595744 0.0007085273 0.002034159 0.008523105 0.00065866025 0.0025868518 0.0019365026 0.0018139129 0.00062749337 0.00096617354 0.001252909 0.0010742188 0.0003324468 0.0016061337 0.0009308511 0.0015541888 0.0008872174 0.00043218085 0.0013754987 0.001161486 0.00037815823 0.00046334774 0.00040516956 0.0016435339 0.0005651596 0.0003927028 0.00035322472 0.0020944148 0.000671127 0.00043633644 0.00038646942 0.0155169545 0.0032205784 0.00048204788 0.0031499334 0.0048641125 0.00034699135 0.00040932512 0.0005152926 0.00644739 0.0020445478 0.0011199302 0.0010555186 0.0029379986 0.00034906916 0.011743683 0.0010638298 0.0034449801 0.0019655917 0.0021193484 0.002225316 0.0044901096 0.0027135971 0.0040454622 0.06320021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004522588 0.00043206124 0.0001009878 2.0822228e-05 0.0002186334 3.3315566e-05 2.4986673e-05 1.8740006e-05 0.00020822228 0.0002280034 4.7891124e-05 4.0603343e-05 4.4767792e-05 2.9151119e-05 3.852112e-05 0.00038729343 0.005972856 0.0006288313 0.00013326226 7.2877796e-05 0.00015720782 0.000108275584 0.00015824893 0.00012805671 8.849447e-05 0.00013013893 0.00014263226 8.849447e-05 0.00010307003 7.391891e-05 8.641225e-05 0.0004560068 0.0034262976 0.000114522256 5.205557e-05 4.58089e-05 0.0013794727 0.00096094585 0.0060321996 0.0028432752 1.3534448e-05 1.1452225e-05 4.1644457e-06 1.3534448e-05 9.370003e-06 4.1644457e-06 4.1644457e-06 1.0411114e-05 0.008622484 0.0005642824 0.00082039577 0.0005486657 0.0014533915 0.0010806737 0.005698003 0.0030525387 0.0004039512 0.0002009345 0.00019364672 0.00012805671 0.00017594783 0.00012389226 0.00016345449 0.00022383896 0.011043069 0.0008495469 0.0010338236 0.0014356927 0.0017324093 0.0013711437 0.0063362042 0.0036886577 0.0005101446 0.00032170344 0.00031753897 0.00025611342 0.00023112673 0.00016761894 0.00019989339 0.0003560601 0.008654759 0.0025580106 0.002439324 0.033214577 0.0027329174 0.0025267773 0.004335188 0.0031795541 0.0023018974 0.0020155916 0.0021030451 0.0020895107 0.0021103327 0.0020322495 0.0021155383 0.0023497886 0.0012878549 0.00058614573 0.00012493337 0.0002488256 0.0002009345 0.0001728245 0.00051222683 0.0003092101 0.00019781117 9.9946694e-05 9.578225e-05 8.537114e-05 7.808336e-05 6.3507796e-05 0.000108275584 9.265891e-05 0.044030685 0.0198769 0.0045548626 0.0093085775 0.008354919 0.011247126 0.004242529 0.014493312 0.0271095 0.0025840385 0.0026027786 0.0059551573 0.01346157 0.003055662 0.008268507 0.029809102 0.1144879 0.06983776 0.015332447 0.031040737 0.029193806 0.039495602 0.015186692 0.05249284 0.07340148 0.006700593 0.009016025 0.01725538 0.04211608 0.009717734 0.02411214 0.07747847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2510.0 12.88247 32335.0 0.0057832072 0.0019174269 0.0017937219 0.0019792793 0.0064945105 0.0041441163 0.0018246482 0.0018555744 0.0024740992 0.0017009432 0.0019483531 0.0021957632 0.0021339105 0.01209216 0.0063708057 0.0039276327 0.020442246 0.019730942 0.01818463 0.01595794 0.015927015 0.014504407 0.015586825 0.014659038 0.01660739 0.015648678 0.015896088 0.0150610795 0.018957786 0.014256997 0.01982372 0.016576465 0.011535488 0.007824339 0.0027524354 0.0115664145 0.008566569 0.006525437 0.00386578 0.0042059687 0.0043606 0.009061389 0.0020720582 0.0023813206 0.0049791248 0.0041441163 0.006278027 0.004886346 0.010916963 0.0059378385 0.008566569 0.010391217 0.007886192 0.0046698623 0.005628576 0.011102521 0.0039276327 0.002041132 0.0031235504 0.0025978042 0.004638936 0.0022885418 0.0028452142 0.011226226 0.0022576156 0.030895315 0.005999691 0.02155559 0.019638162 0.051368486 0.006247101 0.008659348 0.008659348 0.03432813 0.0033709602 0.00411319 0.022266893 0.010205659 0.039771147 0.03726612 0.016823875 0.0023503944 0.032719962 0.028977888 0.0430184 0.012061234 0.008690273 0.0067419205 0.0057213544 0.005906912 0.0019483531 0.0017318695 0.0024122468 0.0018865007 0.0013607546 0.0017937219 6.0280046 0.0 0.0 0.0 2.0 481280.0 507904.0 1.0 2.0 248.0 1.0 1.0 0.0 0.0 0.0 1760979300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 434688.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -434688.0 -11264.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8338776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5270286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6052313 -5.558519 -0.73296535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434345.0 -11194.0 1012.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -1.0 2.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 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 -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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 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 -1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 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 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 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 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 -2.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105.0 438336.0 940.0 455836.0 1368.0 471040.0 0.0 0.0 0.0 0.0 31164.0 475136.0 84.0 22864.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 6248.0 0.0 0.0 1176.0 454656.0 416.0 435960.0 0.0 0.0


Input: 0.14200617 0.008604256 0.0041732253 0.003413443 0.006222035 0.0039364905 0.0020227812 0.0019546114 0.007859347 0.0015059308 0.0016968059 0.001500973 0.0045599337 0.0013683519 0.0012270547 0.0038782365 0.006145189 0.001500973 0.001183674 0.0008936429 0.002464025 0.0019769215 0.0007659796 0.0008242337 0.002301657 0.00075358513 0.00082919153 0.00071020436 0.0016137628 0.00060361176 0.00059369614 0.0005651888 0.0038807155 0.00058625947 0.00065195025 0.00054287876 0.0041546337 0.0013175345 0.00046479344 0.00056147046 0.001183674 0.0006531897 0.0005837806 0.00094322086 0.0011055886 0.002342559 0.00067673926 0.00051808974 0.005418872 0.002687126 0.0029672415 0.010116384 0.003120933 0.0018988361 0.0024962507 0.001608805 0.0036291073 0.0019657663 0.0007151622 0.0014836207 0.0016682986 0.000976686 0.00046603289 0.0005292448 0.011785923 0.003932772 0.0049069794 0.008837272 0.0038732786 0.032597512 0.0032721458 0.0027119147 0.0033874146 0.0035522613 0.0021913461 0.0023574324 0.0027131543 0.004392608 0.0011613639 0.0015331986 0.009070289 0.002146726 0.002058725 0.009768099 0.0032089339 0.013854563 0.0032262863 0.0020983876 0.0019285829 0.0065219817 0.00274538 0.0032634698 0.0015679032 0.0046429764 0.0023809818 0.0036092761 0.0057721147 0.004414918 0.0017116793 0.003242399 0.010227934 0.006140231 0.003932772 0.001561706 0.00882116 0.004221564 0.0036526567 0.0014005776 0.004466975 0.0017513417 0.004403763 0.0040306887 0.0041409996 0.0016955665 0.004858641 0.0038695603 0.011135211 0.0055725635 0.00173275 0.0010832786 0.003793954 0.0012654776 0.0005317237 0.00059121725 0.0016559041 0.002522279 0.0010646868 0.00087629055 0.0052527855 0.0011601244 0.0010907153 0.0090789655 0.0031271302 0.0032324835 0.0010361795 0.00061972457 0.0026672946 0.015215478 0.0022372059 0.051818892 0.0011985473 0.011019942 0.00085893826 0.00068169704 0.0026610973 0.00044496226 0.0007287961 0.00064699247 0.0011254199 0.000938263 0.0015146069 0.0005689072 0.0011762372 0.00058997783 0.00050073746 0.0007139227 0.0009580942 0.00047718795 0.00046603289 0.00042017328 0.0008986007 0.0033353579 0.00046727233 0.0025557443 0.001426606 0.0008192759 0.0005651888 0.0004536384 0.001048574 0.0004585962 0.0005106531 0.000488343 0.0008490227 0.00045115952 0.0007436695 0.000659387 0.00132745 0.0006866549 0.0017339895 0.000537921 0.0008800089 0.0006717815 0.0007139227 0.0015827767 0.0031568771 0.0025396314 0.004660329 0.00082547317 0.0010027144 0.00048090628 0.00085521996 0.0007164016 0.012021418 0.0011514483 0.0022917415 0.0103704715 0.0043665795 0.0010609685 0.0035646558 0.00337502 0.0018740472 0.001768694 0.0009853621 0.00130514 0.0016856509 0.0008948823 0.0009940383 0.0009444603 0.00288048 0.0011526877 0.0029808753 0.0013559574 0.0018170325 0.00076969794 0.0016075656 0.00087753 0.00337502 0.0006556686 0.0010882363 0.0017910041 0.0014997335 0.00072012 0.0005639494 0.0008440649 0.0024441937 0.000659387 0.0008800089 0.0009927988 0.0024379964 0.002436757 0.0005515549 0.000695331 0.027666984 0.0060385964 0.0010956731 0.0059121726 0.0065467707 0.0010448557 0.00068169704 0.000756064 0.0072582145 0.0009791648 0.0018207509 0.00092091074 0.00915705 0.0021752333 0.0041050557 0.002599125 0.010089116 0.0030602 0.0030800311 0.003620431 0.014920489 0.0040046605 0.0043108044 0.0690807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018319865 0.0 0.0 0.0011362168 0.0008485906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008344267 0.0 0.0 0.0053040017 0.004163436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017288635 0.0 0.0 0.001866775 0.00149342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055226724 3.7273378e-06 1.8015466e-05 6.709208e-05 0.00014909351 7.5789205e-05 6.2122294e-06 7.4546756e-06 1.5530573e-05 0.0 0.0 1.8636689e-06 8.075898e-06 3.1061147e-06 4.9697837e-06 0.00035906688 0.006107243 0.00020624603 0.0002137007 0.000551646 0.0019139879 0.0004889025 0.0024513458 0.0010666398 0.00019506401 0.00010063812 9.256222e-05 7.5167976e-05 0.00067278446 0.00038080968 0.00040131004 0.0028936565 0.013345733 0.00064234453 0.000947365 0.0020848243 0.0041361023 0.0036148964 0.0069781975 0.003214829 0.00045473521 0.00023606472 0.0003112327 0.00033111183 0.0020860666 0.0011063981 0.0011237924 0.009004626 0.02080662 0.0013051894 0.0012356124 0.002081718 0.0073291888 0.0025656507 0.006702996 0.0032620418 0.002396057 0.0009765625 0.0009784262 0.0013381143 0.004065283 0.0026544856 0.0026787135 0.009597895 0.020260565 0.0015648607 0.0012536279 0.0022718124 0.009445074 0.004051616 0.0058966484 0.0034142414 0.005822723 0.0014163883 0.0017822887 0.002309707 0.003870219 0.0017760765 0.004052859 0.009691699 0.07419204 0.009840793 0.0072981273 0.010105434 0.042163644 0.030677233 0.021355782 0.013986214 0.05159878 0.0053040017 0.0060699694 0.009164902 0.01682831 0.007090639 0.027507752 0.06121842 0.060404614 0.010154511 0.009140675 0.011700113 0.028188612 0.03068096 0.017714173 0.014645953 0.04994198 0.0058997544 0.0064986134 0.009172978 0.021150779 0.0109645855 0.02514462 0.04864797 0.00023420106 4.7834168e-05 8.6349995e-05 5.2182728e-05 9.069855e-05 9.939567e-05 4.348561e-05 6.5849636e-05 0.00013480538 2.919748e-05 3.354604e-05 2.919748e-05 8.4486324e-05 6.0258626e-05 7.330431e-05 0.00010747157 5347.0 16.221807 86738.0 0.005395559 0.00012681869 0.00055339065 9.223178e-05 0.003320344 0.00056491967 0.00012681869 0.00017293458 0.00039198506 0.00040351404 0.00072632526 0.0005764486 0.0004957458 0.014122991 0.0011183103 0.0004611589 0.02222786 0.016440315 0.02288501 0.011932487 0.018815283 0.013615716 0.019368673 0.010791118 0.022089511 0.013731006 0.00081855705 0.00050727476 0.0009453757 0.00053033273 0.000115289724 0.00013834766 0.0013488898 0.008450736 0.0073324265 0.014376628 0.00706726 0.015979156 0.0046807625 0.0030436488 0.004876755 0.017431807 0.0024326132 0.0039544376 0.006755978 0.006606101 0.004392538 0.009130946 0.01278563 0.0025940188 0.005925892 0.020279462 0.012947036 0.006202587 0.005845189 0.0034586918 0.0027554245 0.0053033275 0.0015102953 0.002962946 0.0011528973 0.0027669533 0.0028822431 0.02198575 0.00025363738 0.03019438 0.012278356 0.026170768 0.034390923 0.05204178 0.010964053 0.00998409 0.027185317 0.03389518 0.006709862 0.006709862 0.032373354 0.011621204 0.036846597 0.033387903 0.027312135 0.002478729 0.037503745 0.028073048 0.04914801 0.010814176 0.009788098 0.0053494433 0.022354677 0.00661763 0.0010376076 0.0002882243 0.0005418617 0.00025363738 0.00029975327 0.00031128226 5.746783 0.0 2.0 14.0 4.0 806810.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5794606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.01847045 0.006774251 0.0054356856 0.0058968444 0.0064142332 0.0059318966 0.0072145974 0.006938194 0.00429356 0.0044056545 0.0049599214 0.005181555 0.003994884 0.004100041 0.006129067 0.008322766 0.005462705 0.006520851 0.0063039637 0.00537763 0.0058950186 0.00639123 0.0070156017 0.007447915 0.00413911 0.0031375594 0.0055481456 0.0058530285 0.0034588734 0.003674665 0.0061480533 0.008539652 0.007259508 0.00789812 0.0068089385 0.007863068 0.009118384 0.008372058 0.0059110844 0.0067928727 0.008287348 0.008148234 0.008410397 0.0073953364 0.008898941 0.00933454 0.007972972 0.006492736 0.0072485544 0.007867449 0.006214507 0.0075841085 0.009406836 0.009166946 0.0054214452 0.0067837443 0.008397252 0.00850241 0.0080365045 0.006858961 0.0088923685 0.010225091 0.0076231775 0.006259783 0.0048076627 0.0036483756 0.0046473704 0.0031459574 0.0020377887 0.002638427 0.0027220417 0.0024387012 0.0036005438 0.0044388813 0.0015068902 0.0028837943 0.0010599714 0.002480691 0.0021633934 0.0015123672 0.0054305736 0.003986486 0.0038145098 0.003674665 0.0032065688 0.0032401606 0.00283012 0.0028264688 0.0030302112 0.004367681 0.0019611116 0.0042358693 0.001765402 0.0037294345 0.0016876294 0.0014371504 0.006244813 0.006386848 0.009461605 0.0062630693 0.0049851155 0.0048076627 0.008328973 0.0055766255 0.008682054 0.0074183396 0.0075052404 0.009135909 0.007071101 0.0055211256 0.0060231793 0.00881277 0.0068432605 0.008684244 0.010676391 0.0067052413 0.005299127 0.0049402043 0.008896019 0.005761016 0.008447641 0.0075307996 0.0067286096 0.008240611 0.006867724 0.0066807778 0.005796799 0.008067905 0.0016606097 0.0015926956 0.0010577807 0.0016989484 0.0013893184 0.0022491987 0.0032544008 0.0014864429 0.0015240513 0.0022265608 0.0015693273 0.0019523484 0.00183003 0.0019987198 0.00281588 0.0013831112 0.0013871277 0.0017281588 0.0022126858 0.0014842522 0.002720216 0.0009475115 0.0018041057 0.0014871731 0.0011614775 0.0011417605 0.0009548141 0.0014090354 0.00089493283 0.0014145124 0.0010968496 0.002387948 0.0019348222 0.0017128233 0.0024741187 0.001765402 0.0017084418 0.0017015043 0.002412777 0.0027048807 0.0025270625 0.0017460501 0.0024310334 0.0021557256 0.0031970756 0.003694747 0.0022532153 0.0027136437 0.0014115913 0.00274541 0.0029184816 0.0015269723 0.0027855744 0.0021046074 0.0025102666 0.0025840227 0.002719851 0.001827474 0.0023488791 0.0018574147 0.0025862134 0.0021119101 0.0025800064 0.0027600152 0.0020739366 0.0011198528 0.0025299836 0.0014353248 0.0012801447 0.001931536 0.0016007285 0.002236054 0.0015664063 0.0015101763 0.0015346401 0.0023412115 0.0016449091 0.0020564103 0.0010986752 0.0018073919 0.0025464143 0.0012852565 0.0017920565 0.0020943838 0.0010048369 0.0014356899 0.0014072098 0.00090588676 0.0019107236 0.0014984922 0.0014491997 0.0029842048 0.00130899 0.0015970772 0.0017497014 0.0010796884 0.001644179 0.0013630291 0.0012973057 0.0024062046 0.0021838406 0.0010555899 0.001191053 0.0015565478 0.0018946578 0.0011530796 0.00070141413 0.0015835674 0.0014057492 0.0010738464 0.000672934 0.001219168 0.001357187 0.0006298487 0.0014941107 0.001579551 0.0007211311 0.0012301219 0.0012224541 0.0015039692 0.0024576879 0.0020618872 0.0010979449 0.0007813775 0.001002646 0.0011841155 0.0008394331 0.0060041924 0.0018705574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072776375 1.0960298e-06 3.6534325e-07 2.922746e-06 1.461373e-06 3.2880891e-06 6.5761783e-06 4.0187756e-06 3.6534325e-07 0.0 0.0 3.6534325e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006291211 2.0093878e-06 7.1241934e-06 2.2285938e-05 3.6351652e-05 3.470761e-06 2.8679446e-05 1.3152357e-05 1.6440446e-06 7.306865e-07 3.6534325e-07 1.461373e-06 0.0 5.480149e-07 1.2787013e-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 0.0020941475 5.6628203e-05 7.453002e-05 0.00028496774 0.00072283164 2.7948758e-05 1.4431058e-05 1.1690984e-05 5.0965384e-05 3.2880891e-06 3.6534325e-06 3.6534325e-06 3.836104e-06 6.0281636e-06 1.2787013e-06 7.1241934e-06 0.00023217563 0.0 0.0 2.922746e-06 1.6805789e-05 3.1054176e-05 5.9368278e-05 3.178486e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008881494 1.1508312e-05 1.4065715e-05 0.000108689615 0.00025902837 2.4477997e-05 7.215529e-05 5.608019e-05 8.950909e-06 7.85488e-06 2.2285938e-05 4.932134e-06 4.384119e-06 2.3747311e-06 4.5667907e-06 6.941522e-06 0.0009186556 4.731195e-05 7.416468e-05 0.00012531273 0.00041064582 0.000356575 0.000367718 0.00018595971 2.0641894e-05 4.932134e-06 1.004694e-05 5.845492e-06 3.160219e-05 3.5072953e-05 8.402894e-06 1.589243e-05 0.0014712373 0.0003300876 0.001155946 0.0011669063 0.0009975698 0.00089710037 0.0012704812 0.0007929775 4.256249e-05 1.1873655e-05 0.00036716997 0.00036607395 1.808449e-05 2.3381968e-05 1.8449835e-05 4.8773323e-05 0.060375165 0.059575062 0.09457604 0.094430454 0.004573732 0.0046904595 0.08873493 0.08900985 7.343399e-05 5.754156e-05 0.00059587485 0.0005836358 7.946216e-05 7.471269e-05 4.8773323e-05 8.914375e-05 0.0010379402 0.00040607902 0.00071369804 0.0006857493 0.0010242398 0.0010706384 0.0004415173 0.00035383494 0.00014303188 7.1424605e-05 0.00024551066 0.0002272435 9.352787e-05 7.215529e-05 5.6628203e-05 9.07878e-05 0.001792922 0.00079023745 0.0011248918 0.0010982217 0.0019575092 0.0020773418 0.00069871894 0.0007505977 0.0005355932 0.00017682613 0.00045412165 0.00044571876 0.0003476241 0.00026523918 0.00033849053 0.0009880709 0.0067942883 0.002742449 0.0025075334 0.0026326634 0.006117307 0.0059708045 0.0050011836 0.0055133947 0.0029943532 0.001265549 0.0030255902 0.0034186994 0.0029609243 0.0021401807 0.0026847247 0.00633286 0.0064799106 0.006002407 0.004194506 0.0042555183 0.009540391 0.009415078 0.0022497836 0.0022163547 0.003216482 0.0027599856 0.009058503 0.009044072 0.0053383955 0.005324147 0.001674368 0.0019087358 0.019079503 0.020972712 0.020551106 0.019715749 0.020085294 0.026623476 0.013320232 0.01726192 0.022581501 0.01985805 0.02334872 0.02327419 0.018883131 0.018104767 0.017544879 0.015667196 93272.0 8.142165 759436.0 0.013550846 0.01607377 0.010889661 0.013769429 0.018362312 0.017063979 0.009941588 0.012481631 0.015041426 0.015024307 0.015123065 0.013305927 0.016624179 0.018982507 0.013982745 0.013200586 0.013743093 0.016042167 0.011116144 0.015730094 0.01993058 0.017491927 0.01022996 0.012904313 0.016786141 0.015714293 0.016792726 0.013172934 0.017864574 0.018609863 0.013554796 0.012895096 0.0053513395 0.0041293805 0.0060637104 0.004467789 0.0025953471 0.0017499828 0.0025387262 0.002978526 0.003752785 0.005920183 0.0014155242 0.0029995944 0.00080981146 0.0030522652 0.0019606655 0.0008875007 0.0077320538 0.0037093316 0.0048509683 0.006208555 0.002815247 0.0017473494 0.0022687889 0.0031378549 0.0037988718 0.0056173266 0.0015432505 0.0044664727 0.0028139304 0.0043426966 0.001811871 0.0015511512 0.011789012 0.012401308 0.017748699 0.010719798 0.009202882 0.0075556072 0.016402962 0.010686878 0.015175736 0.014825475 0.013353331 0.01613961 0.014581874 0.010696095 0.011737658 0.016327906 0.0120931845 0.012723916 0.020062257 0.011213585 0.009932371 0.00596627 0.016504353 0.011175399 0.01501509 0.013985379 0.011862751 0.014693799 0.01374441 0.010544667 0.01083699 0.015215239 6.3389726 3.0 10.0 0.0 16.0 2738753.0 49152.0 1.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 1504708200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.660553 0.0 3.3088052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36828.0 0.0 2780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 38932.0 2780.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 436.0 4096.0 0.0 0.0 0.0 0.0