Input: 0.02209148 0.0045306003 0.0035568022 0.0034045998 0.0036033494 0.0039557787 0.0032738242 0.0032331878 0.0030396103 0.0033683965 0.0039912434 0.0030137505 0.0031024122 0.0032693911 0.0038235253 0.004647338 0.0052155103 0.004661376 0.0043348065 0.004074733 0.0033395814 0.00479954 0.003839041 0.0035863558 0.005731963 0.003933613 0.0039469125 0.0035087771 0.003103151 0.0038043153 0.0052007334 0.0037548128 0.0043732263 0.0058250576 0.0051453197 0.004073255 0.004079166 0.0041234964 0.004040746 0.003786583 0.004714573 0.0054571126 0.0045586764 0.0038516014 0.0035036053 0.0039520846 0.0053093433 0.00446706 0.0041567446 0.006166404 0.0042143743 0.0041959034 0.0045246896 0.004360666 0.004518779 0.0036033494 0.0044146017 0.006083654 0.0057629948 0.003652113 0.0041331016 0.0042047696 0.004436028 0.0034171604 0.0037540738 0.0041656108 0.0034696183 0.0036321643 0.0046628537 0.0045003076 0.0034171604 0.005078824 0.0033026391 0.004092465 0.003270869 0.0038449517 0.0029716364 0.0034784845 0.0035494135 0.0039084926 0.0030639921 0.0039550397 0.0038279584 0.0029191785 0.0045313393 0.0034600133 0.0035013887 0.002811307 0.0029974962 0.004055523 0.0031585644 0.0038190922 0.0037880607 0.003156348 0.0036861 0.003575273 0.0041205413 0.004326679 0.0042468836 0.0036705842 0.0040259687 0.004404258 0.004809884 0.0040895096 0.0042623994 0.0042572278 0.004186298 0.00374373 0.0034555802 0.004135318 0.0041013313 0.0041648718 0.003380218 0.003963906 0.0042476226 0.0037319085 0.0037282142 0.0047544707 0.0045867525 0.0037008768 0.0034171604 0.004958392 0.0036979215 0.0042623994 0.0032642193 0.0037666343 0.004134579 0.003518382 0.003332193 0.0046783695 0.0036173875 0.0029472546 0.0035634516 0.0033868677 0.0030566037 0.002735206 0.0049148 0.0035302036 0.0031378767 0.0031437874 0.0026753594 0.0037799333 0.003933613 0.0033381039 0.0032339266 0.0035878336 0.0038626841 0.0028807584 0.0044064745 0.0031149725 0.003672062 0.0026716653 0.002874109 0.0036986603 0.0037407747 0.0033203715 0.002820173 0.0034577968 0.0034814398 0.0030588203 0.0040340964 0.004075472 0.0039624283 0.004636994 0.003796927 0.004269788 0.003748163 0.0032309713 0.004098376 0.0039284416 0.0037976657 0.003183685 0.004020797 0.0031253162 0.0034688795 0.0034282429 0.0036883166 0.004297864 0.003887805 0.0036321643 0.0033720906 0.0040533063 0.0036853612 0.002888147 0.0036602404 0.0039084926 0.0036306866 0.0033395814 0.0033255434 0.0030152283 0.003447453 0.0030676865 0.0034622299 0.0050507477 0.0036838835 0.0034489306 0.0029568595 0.0038427352 0.0037326473 0.0050455756 0.0036713232 0.0049406597 0.0034770067 0.004273482 0.0036040882 0.0038220475 0.0042387564 0.0036395527 0.0040651276 0.0036129544 0.0041338406 0.0038131815 0.0033203715 0.0037459466 0.0031526536 0.0027411166 0.003213239 0.0041205413 0.0037703284 0.004181865 0.0044160793 0.0031807297 0.0034289819 0.0029376496 0.0035272483 0.0032102836 0.004139012 0.003304117 0.0033491864 0.0036787116 0.0042188074 0.003380218 0.0028896246 0.0043710098 0.0038508626 0.0035841393 0.0029620314 0.004045179 0.0038796775 0.0030913295 0.0037525962 0.005675811 0.0039432184 0.00438357 0.0047027515 0.003988288 0.004540944 0.0034541024 0.003015967 0.0045645875 0.004149356 0.0028622872 0.0031194056 0.003083941 0.004043701 0.0027854475 0.0045454544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073168206 1.8495502e-06 1.4796401e-06 3.6991003e-07 7.3982005e-07 2.5893703e-06 2.5893703e-06 2.2194602e-06 2.2194602e-06 1.4796401e-06 2.2194602e-06 1.8495502e-06 2.5893703e-06 7.3982005e-07 1.8495502e-06 1.1097301e-06 0.0021110766 1.0727391e-05 1.1837121e-05 3.6991005e-06 1.3316761e-05 6.6583807e-06 1.8125593e-05 9.247751e-06 9.617661e-06 3.3291903e-06 1.0357481e-05 8.138021e-06 6.6583807e-06 9.987571e-06 1.5166312e-05 2.4783973e-05 0.000674346 6.2884706e-06 4.8088305e-06 2.9592802e-06 4.0690106e-06 4.8088305e-06 3.3291903e-06 6.2884706e-06 6.6583807e-06 5.1787406e-06 6.6583807e-06 7.768111e-06 5.5486507e-06 5.9185604e-06 7.768111e-06 5.1787406e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050751655 1.3686671e-05 1.9235322e-05 1.7755681e-05 1.4056582e-05 1.5906131e-05 1.6276043e-05 1.4426491e-05 1.7385772e-05 1.7755681e-05 2.1454782e-05 1.4796402e-05 1.5906131e-05 2.1824691e-05 1.5536221e-05 1.4056582e-05 0.00047015565 8.507931e-06 2.5153882e-05 1.5536221e-05 2.8852983e-05 1.8125593e-05 6.436434e-05 2.6263613e-05 1.2207031e-05 1.1837121e-05 1.2946852e-05 1.5536221e-05 1.3316761e-05 9.987571e-06 1.4056582e-05 1.0727391e-05 0.0003240412 1.4796401e-06 1.8495502e-06 3.6991003e-07 3.3291903e-06 1.2207031e-05 3.6991005e-06 9.247751e-06 6.2884705e-05 4.4389203e-06 1.6276043e-05 1.7015862e-05 1.4796402e-05 5.2897136e-05 5.2527226e-05 0.0001805161 0.0022727272 0.00021047881 0.000119480945 0.00012687914 0.0001294685 0.00014870384 0.00016645952 0.00013538708 0.00027114406 0.00015018348 0.0001694188 0.0001764471 0.00024525035 0.00023563269 0.00021195845 0.0005334103 0.0034901013 0.00091626716 0.00010764382 0.00012613932 0.00012465968 0.00028557054 0.0003022165 0.00023378314 0.0003869259 0.00026263614 0.00037730823 0.00028889973 0.00048384233 0.0003173828 0.00046941583 0.0009181167 0.003692442 0.0015173709 0.00033994732 0.000250799 0.00016128078 0.0002766927 0.000456469 0.00029555813 0.00037841796 0.00039136483 0.0005855676 0.00055856415 0.00065806997 0.0006077622 0.0007098574 0.0012410482 0.0013216885 0.0013472124 0.00027743253 0.0001764471 6.473425e-05 0.00010875355 0.00027484316 0.0001882842 0.00039543383 0.00032330138 0.00047126538 0.0005126953 0.000526382 0.00059444545 0.0006162701 0.0011341441 0.05551906 0.06281738 0.07038278 0.07115848 0.060562782 0.05544175 0.06471872 0.062240694 0.05423732 0.052735116 0.059134927 0.055330403 0.060901247 0.055992544 0.05537812 0.057994127 8342.0 5.900983 49226.0 0.010969813 0.0129200015 0.011376102 0.0121886805 0.0095478 0.011396416 0.010482266 0.009263397 0.010847926 0.012859059 0.011416731 0.011132329 0.008938366 0.011619876 0.011741762 0.010766668 0.012087109 0.013773209 0.0121480515 0.011437045 0.010726039 0.012005851 0.012351196 0.009974403 0.011802706 0.012798115 0.01164019 0.010543209 0.009060252 0.010786982 0.010969813 0.009832202 0.0076585542 0.009222768 0.010746353 0.008450818 0.011904278 0.010279121 0.009161825 0.00936497 0.008349246 0.010461951 0.008085159 0.0072116363 0.009304026 0.009852517 0.010482266 0.009568115 0.0072319508 0.007902328 0.010055661 0.008714907 0.009852517 0.012269938 0.0082273595 0.008471133 0.008024215 0.009954089 0.009730631 0.007902328 0.008735221 0.008532076 0.008511762 0.009852517 0.009243083 0.010461951 0.011558932 0.011132329 0.011172958 0.011741762 0.012432454 0.011843335 0.010075976 0.011497989 0.010299435 0.009649373 0.010807297 0.010888555 0.013143461 0.010279121 0.0090196235 0.010969813 0.0121277375 0.01086824 0.009750945 0.011416731 0.011904278 0.011538618 0.009893146 0.011843335 0.010116605 0.009486857 0.010258806 0.009161825 0.012330882 0.009608744 6.570982 0.0 0.0 0.0 14.0 1353463.0 3784704.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 6.0 1.0 4.0 6.0 6.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 23.560469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9740806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.185817 0.0 0.0 0.0 0.0 0.0 0.0 2863104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 2908160.0 40796.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056864038 0.008314597 0.006181664 0.0056611574 0.0057567395 0.0049702656 0.004199376 0.005430514 0.0050533805 0.0056331065 0.0037464001 0.0044663823 0.0049505257 0.0031760246 0.004324048 0.0046523516 0.0050471467 0.0037599062 0.0049370197 0.004153663 0.004354177 0.0031791416 0.0041079493 0.0038399042 0.005075198 0.0033412154 0.0031583628 0.0029246025 0.0041505457 0.0034399142 0.0037858796 0.0037879576 0.0061702356 0.0038076972 0.003477316 0.0030212235 0.004895462 0.004164052 0.003843021 0.0037214656 0.0047333883 0.0038980846 0.0033339427 0.0030939488 0.004366644 0.003716271 0.0037225045 0.003587443 0.0055188234 0.003953148 0.0030981046 0.002896551 0.0036809472 0.0030700534 0.0026835694 0.0028591496 0.0041765193 0.0033079695 0.0035188734 0.0033422543 0.004003017 0.0032248546 0.0035043282 0.0034648487 0.0066024326 0.003956265 0.003618611 0.0032238157 0.004149507 0.0032113486 0.0035438077 0.0030690143 0.0050014337 0.0037734124 0.0037069207 0.003587443 0.004131845 0.003122 0.0035531581 0.0034627707 0.0051697413 0.0036248446 0.0036477013 0.003331865 0.0039292527 0.003380695 0.0033619942 0.003540691 0.004649235 0.0036466622 0.0038056194 0.0035105618 0.0041079493 0.0033848507 0.0036892586 0.0037838018 0.00591258 0.0036248446 0.0033432932 0.0029495368 0.0040082117 0.0030534305 0.0032612174 0.0030295348 0.004968188 0.003172908 0.0032061539 0.0030482358 0.0035812093 0.0028373317 0.0030845983 0.0031916087 0.0045079393 0.0032819961 0.0032206988 0.0031313505 0.00389289 0.003331865 0.0032851128 0.0036269226 0.004625339 0.0032955022 0.003475238 0.0031645964 0.00403938 0.0031978423 0.0034690043 0.003344332 0.008661603 0.004597288 0.0040144455 0.0035271847 0.0043759947 0.0034347195 0.0030149897 0.0033973178 0.0045411857 0.0038295148 0.0029516148 0.0031926476 0.0037245825 0.0027978523 0.0028446044 0.0029827827 0.0052414276 0.0032040759 0.0034929 0.0030264182 0.003669519 0.0031770635 0.0033058915 0.0032622563 0.0045443024 0.0028383709 0.00304408 0.0026949977 0.0035105618 0.0032258935 0.0029838218 0.0031510904 0.0050035114 0.0034097852 0.0032705679 0.0027957745 0.0037775682 0.0030170677 0.003058625 0.003188492 0.0041360008 0.0029910943 0.0031199222 0.0030129119 0.0036435456 0.002835254 0.002912135 0.0030305737 0.0046731303 0.0031188834 0.0038461378 0.0028560327 0.0035666644 0.0031531681 0.0029890165 0.0031199222 0.0042544394 0.0031427788 0.003330826 0.0031718689 0.003652896 0.003188492 0.0033245925 0.003348488 0.006727105 0.0040622363 0.0037214656 0.0033349819 0.004115222 0.0032560227 0.0033006968 0.0032300493 0.0043365154 0.0033329038 0.0031178442 0.0030690143 0.0036456233 0.0029838218 0.0030710923 0.0027968134 0.004245089 0.0032736845 0.0030866764 0.0029942112 0.0037131542 0.0030181066 0.0029391474 0.0029381085 0.0039822385 0.003106416 0.0027303216 0.0026368173 0.0035354963 0.0029536926 0.0035812093 0.002879928 0.004953643 0.0032425167 0.0033869285 0.0029692766 0.0038139308 0.0030669365 0.0031947256 0.002898629 0.0044404087 0.005458565 0.00347316 0.0031334283 0.0037858796 0.0030721312 0.0032383609 0.0031832973 0.004610794 0.003318359 0.0034170577 0.003043041 0.0037422443 0.0030856372 0.0033038137 0.0032414775 0.0043520993 0.0030357684 0.0031791416 0.0028570716 0.0040144455 0.003091871 0.004228466 0.004529757 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0046011917 0.00029411397 0.00027225065 0.00027173007 0.0003008812 0.00024153784 0.00033315565 0.00030868954 0.0003326351 0.00035241622 0.00032951176 0.00035293677 0.00052315847 0.00015408448 0.00018479727 0.00074179185 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09935066 0.06200235 0.062442217 0.055300716 0.060593203 0.059551574 0.054936845 0.05444388 0.060472436 0.053136244 0.05209149 0.052918132 0.056398045 0.05051004 0.056601062 0.05381401 4017.0 5.7052526 22918.0 0.01710446 0.0104284845 0.0093376385 0.008639498 0.013526485 0.01243564 0.011781133 0.01151933 0.012610176 0.009773977 0.008464962 0.008595863 0.013875556 0.010515752 0.011781133 0.009904878 0.016799023 0.0118684005 0.008726765 0.007505018 0.0098176105 0.008464962 0.007810455 0.00833406 0.010253949 0.008464962 0.009555807 0.008814032 0.011562964 0.008988568 0.009599442 0.009206737 0.018064404 0.0109084565 0.010341217 0.009075835 0.010821189 0.0089013 0.010690287 0.00833406 0.014224627 0.011606597 0.0098176105 0.008988568 0.011475696 0.009381272 0.011650232 0.009599442 0.014791867 0.009643075 0.009992146 0.008988568 0.012086569 0.009424906 0.009599442 0.0098176105 0.013744655 0.009206737 0.010559386 0.009686709 0.011126625 0.0098176105 0.01038485 0.010690287 0.017933503 0.010995724 0.009686709 0.008159526 0.013090148 0.0082467925 0.009381272 0.00833406 0.015446374 0.009294005 0.008944934 0.008683131 0.011344794 0.007941356 0.009904878 0.007897723 0.013177415 0.00798499 0.008683131 0.008726765 0.011475696 0.009424906 0.008115891 0.007897723 0.010995724 0.0089013 0.011955668 0.00855223 0.011257526 0.009163103 0.009992146 0.0089013 6.5545363 0.0 0.0 0.0 14.0 962524.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.100210205 0.0020266313 0.0032490033 0.0022823578 0.0010727721 0.001625141 0.00072370557 0.001896211 0.0013016472 0.0011955207 0.00075183547 0.00081193115 0.0015458658 0.0009129431 0.00064187316 0.0010280199 0.006583675 0.00058561336 0.0005255177 0.0005063382 0.00087714137 0.0016430418 0.0006239723 0.00054853305 0.00068662525 0.0006226937 0.0010292985 0.00040788352 0.0010420849 0.00055748346 0.0004973878 0.0005638766 0.0014934419 0.0007761295 0.0005510903 0.00048971595 0.00081448845 0.00059584243 0.00045391428 0.00056771253 0.065818846 0.00060479285 0.00038870407 0.00052168174 0.00097431743 0.0009218935 0.0005408612 0.0006444304 0.000819603 0.0007198697 0.00073393463 0.00084645423 0.051684853 0.00044879975 0.0003426733 0.00046414332 0.00042194847 0.00049227325 0.00042962027 0.000572827 0.00046925785 0.00071731245 0.00039381857 0.0012658455 0.001451247 0.0015791103 0.0013770864 0.00060223555 0.041870076 0.0018655238 0.00057794154 0.00054981164 0.00063675863 0.0011200814 0.00043857069 0.0005408612 0.00059839967 0.0016916299 0.00050122367 0.0005792202 0.0016609427 0.00093723706 0.00069813296 0.0015266864 0.00080809527 0.0013284984 0.00081065256 0.00087074825 0.04159389 0.0008886491 0.00046797923 0.00072370557 0.0011162455 0.0007479996 0.0005907279 0.00081832433 0.00066488853 0.0012517805 0.0005689911 0.00084006105 0.0011967993 0.001732546 0.0006188578 0.00085924054 0.0009909396 0.0020905628 0.0010510354 0.000819603 0.0014218385 0.00084261835 0.0010113977 0.0011098523 0.0015650453 0.0008975995 0.0013259412 0.00114949 0.0019626997 0.0014103309 0.00049227325 0.00048204418 0.00055748346 0.0006188578 0.0004475211 0.0007416064 0.00048971595 0.00057026977 0.0004705365 0.000499945 0.0051298705 0.0008413397 0.00056131935 0.0010574284 0.0008758628 0.00088353455 0.00038742542 0.0007352133 0.00075822865 0.0017632332 0.0010957874 0.0026301455 0.00067128165 0.0009628097 0.0008132098 0.00039509722 0.03187757 0.00048715872 0.021289218 0.00042578438 0.00054981164 0.00054981164 0.00042834165 0.0005152886 0.00084389694 0.00048460145 0.00041044079 0.00043217753 0.0010177909 0.0005165672 0.00044368522 0.00050122367 0.0007121979 0.000708362 0.000499945 0.0004424066 0.00054853305 0.001319548 0.00040404763 0.00045263564 0.0005638766 0.00048460145 0.0012760744 0.00045391428 0.00090910716 0.0005191245 0.00042578438 0.0005945638 0.00061374326 0.051661838 0.00045135702 0.00045135702 0.00067383895 0.00041683397 0.00042450574 0.05806267 0.00058049883 0.000378475 0.00044879975 0.0006533808 0.000694297 0.00052935357 0.00050250225 0.0009704815 0.0012364369 0.0008528474 0.019790662 0.0015049495 0.0007684577 0.00045775017 0.000562598 0.03764164 0.00067128165 0.0005689911 0.0003656887 0.00047437238 0.00096536695 0.00040404763 0.00040916217 0.00046542197 0.00072114833 0.0006009569 0.0005638766 0.0006239723 0.0010126764 0.001426953 0.0011814558 0.0015241291 0.0012044711 0.0013348915 0.0010983447 0.0011469327 0.0018143784 0.0013911513 0.00048715872 0.0005063382 0.0009103858 0.06078871 0.0005472544 0.0004475211 0.00075822865 0.019937705 0.00054213987 0.00067000306 0.0016404846 0.06854617 0.0005562048 0.00081576704 0.0012747959 0.00061502185 0.00044879975 0.047854073 0.001843787 0.0006316441 0.00052679627 0.00047181512 0.00087074825 0.0005715484 0.0006316441 0.0006380372 0.001038249 0.00068278937 0.0005152886 0.0015036709 0.06261971 0.0015497017 0.0016660572 0.008064331 0.052517787 1.2815781e-06 0.06299277 0.048556432 0.039375845 0.038059667 0.0 8.971047e-06 6.4078904e-07 0.04593881 6.4078904e-07 0.104950994 0.052484468 0.0 0.18635619 0.059044223 0.0012053242 0.00011790518 0.0 0.0011841782 9.611836e-06 0.0 0.00012687623 1.0893414e-05 6.4078904e-07 6.4719694e-05 0.0 0.0 5.7671015e-05 1.9223671e-06 0.0012277518 0.0012418492 0.002478572 0.0001582749 4.4855235e-05 0.00031462742 2.2427617e-05 0.0011418861 1.4097359e-05 1.9223671e-05 4.9981547e-05 2.5631562e-06 1.2815781e-06 0.0011707216 1.9223671e-06 2.5631562e-06 0.0011380414 6.4078904e-07 0.0016186332 0.0010124467 0.001157265 0.0 7.6894685e-06 0.0 0.0 6.4078904e-06 0.0 0.0014443385 2.5631562e-06 0.0006375851 0.0 0.0 0.0006747509 0.0 0.011881511 0.005731858 1.9223671e-05 0.00084904546 0.00011534203 0.0014949609 0.00030309323 5.83118e-05 0.003481407 0.0018762304 1.0893414e-05 0.00073754817 0.001764733 0.00025567482 0.0016096621 0.0013065689 0.0010726808 7.6894685e-06 0.0011508571 0.00028258798 0.0020492433 0.00031398662 0.00015955647 0.0001166236 0.00013392491 0.00061772065 0.0006081088 0.0010771664 0.0012412084 7.6894685e-06 0.0016525949 7.0486794e-06 0.007019844 0.00028258798 9.93223e-05 0.00013072096 0.00048892206 0.00019608144 9.227362e-05 2.5631562e-05 0.0009176099 0.000328084 2.6272352e-05 0.00036524975 3.0757874e-05 2.114604e-05 3.5243396e-05 0.0004389405 0.002502922 4.2932865e-05 0.000110856505 0.00013905122 9.7399934e-05 0.00095733884 0.00033449187 0.00019223671 0.00020569329 0.0001935183 0.00020377092 1.7301305e-05 0.00088172575 1.4097359e-05 0.00065296405 1.5378937e-05 0.0031962558 3.8447342e-05 0.00058696273 9.35552e-05 0.0007413929 9.483678e-05 0.0010098835 0.0005087865 0.00017301305 2.1786827e-05 0.0004664944 0.0005318549 0.00023773273 0.00038895896 0.0010707584 2.5631562e-05 0.0028162678 0.00016147883 0.00031270506 0.00072857714 0.00069269293 0.0003268024 0.00209538 0.0009624651 7.881705e-05 0.0005485154 0.00017173146 6.151575e-05 3.7806552e-05 3.6524976e-05 2.4349984e-05 0.00013072096 0.0020973026 0.00042420236 0.00010060388 0.0001166236 0.00041394972 0.00011790518 0.00030245242 9.8681514e-05 0.00032552084 0.00087852177 0.00033192872 9.93223e-05 0.0004735431 0.00026528665 0.000110856505 0.00040497867 0.0040472234 0.00022107222 0.0009054349 0.00050045626 0.00048251415 0.00023196563 0.0015987686 0.00054595224 0.0002505485 0.0006843627 0.0003332103 0.00018198408 0.00042740628 0.00041330894 0.000680518 0.00030629715 0.004082467 0.00035435634 0.00042996946 0.0003972892 0.0006068272 0.0006600127 0.0009496494 0.0006542456 0.00037358 0.00035435634 0.00030757874 0.0002755393 0.00026720902 0.0019358237 0.0004030563 0.0010713993 0.0051692454 0.000516476 0.0005510786 0.00057606935 0.00068756664 0.00076125737 0.00094580464 0.0007439561 0.000701664 0.0009054349 0.0008176468 0.0010130875 0.0008830073 0.002171634 0.0011258663 0.0047399164 0.004857822 0.0010919045 0.0009464454 0.00059977855 0.002612497 0.0016423423 0.0024894655 0.0020627 0.0026221087 0.00090735726 0.0008977454 0.0009893783 0.001509699 0.0019665817 0.0016948871 0.0032930148 0.013653933 0.0071518463 0.006841064 0.0064290366 0.0075984765 0.009657332 0.006296393 0.007502358 0.010291072 0.006144526 0.006150293 0.005664575 0.0069903675 0.009194682 0.008369345 0.0119859595 843.0 198.99051 167749.0 0.0011028382 0.00017883863 0.00031594824 0.00030402566 0.0003815224 0.00022056763 0.00026229664 0.00013710962 0.30436546 0.0005663223 0.00013114832 0.00024441277 0.0005126707 0.001698967 0.00030998694 0.00025633536 0.00030402566 0.00025037408 0.0001430709 0.00029210307 0.23867802 0.00014903219 0.00013710962 0.00013710962 0.00015499347 0.00013710962 0.00020268378 0.00012518704 0.00027421923 0.001555896 0.00022056763 0.0032489016 0.0002384515 0.001120722 0.0012399477 0.0007868899 0.19146463 0.0006557416 0.00058420614 0.0005245933 0.00035171595 0.0030760244 0.00022652892 0.0002861418 0.00048286427 0.00277796 0.00020268378 0.00059612875 0.0005424772 0.00035171595 0.0004172901 0.003529082 0.00073919963 0.00034575467 0.00025037408 0.0006557416 0.1910533 0.00029806438 0.00013710962 0.00024441277 0.0003815224 0.0002384515 0.0002801805 0.00029806438 0.0002861418 0.0021401022 0.00048882555 0.0012697543 0.0011266833 0.0041371332 0.0006080513 0.0007213158 0.00084650284 0.0066766418 0.0001907612 0.0017883863 0.0018718443 0.0008643867 0.0018241539 0.0019731862 0.0007630448 0.00030402566 0.0021937538 0.0018599216 0.002676618 0.0010491866 0.0003397934 0.00035171595 0.00039940624 0.0007093932 0.00020864505 0.00013114832 0.00021460635 0.0001430709 0.0002861418 0.00017883863 2.6337593 0.0 0.0 0.0 4.0 782086.0 798720.0 0.0 0.0 216.0 0.0 1.0 0.0 0.0 0.0 1465006700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 152064.0 1024.0 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 49664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -516608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152064.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1212207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8566587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.290639 0.0 5.1567674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49226.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -516540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -151799.0 0.0 62240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 -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 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 1.0 1.0 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 -2.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 203920.0 62240.0 733184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 892.0 159744.0 0.0 0.0 0.0 0.0


Input: 0.67048526 0.0049767126 0.0036057692 0.0025728666 0.006967398 0.0016338641 0.0009765625 0.0009953425 0.0045259916 0.0009202224 0.0014460637 0.0004695012 0.0025540865 0.0018216646 0.0004319411 0.0017653245 0.0033991886 0.0005258414 0.00067608175 0.0003192608 0.0015963041 0.003079928 0.000769982 0.0005070613 0.0012958234 0.0003192608 0.00020658053 0.00030048078 0.0010329026 0.0005446214 0.0004695012 0.0008263221 0.0044320915 0.00028170072 0.0002629207 0.00037560097 0.006141076 0.0005821815 7.5120195e-05 9.390024e-05 0.00080754206 0.0005070613 0.00015024039 0.0008451022 0.0003568209 0.0005821815 0.00088266225 9.390024e-05 0.0010892428 0.00028170072 0.0005258414 0.0020470251 0.00060096156 0.000394381 0.00037560097 0.00020658053 0.00075120194 0.0003192608 9.390024e-05 0.0017841046 0.00056340144 0.0008451022 0.00020658053 0.00011268029 0.013070913 0.0010329026 0.0004319411 0.00080754206 0.0034367489 0.0027982271 0.0027606671 0.0019155649 0.0009390024 0.0008263221 0.00015024039 0.00020658053 0.0018404447 0.001164363 0.0004695012 0.00033804087 0.003079928 0.0016526442 0.001577524 0.0018404447 0.0015963041 0.0018592248 0.0024789663 0.0017653245 0.00069486175 0.0005446214 0.00018780048 0.0015024039 0.00041316106 0.0017277644 0.0026292067 0.0023475061 0.0015024039 0.0023475061 0.0006573017 0.0009390024 0.0026667668 0.00400015 0.0005446214 0.00067608175 0.0022536058 0.0021033655 0.0041691707 0.00016902044 0.0016714243 0.0005446214 0.002328726 0.002366286 0.0010141226 9.390024e-05 0.0035869891 0.0016338641 0.007080078 0.0048076925 0.0012582632 0.00088266225 0.0008451022 0.00069486175 0.00022536058 5.6340145e-05 0.0014460637 0.0006573017 0.0004695012 0.00016902044 0.0014836238 0.0013709435 0.000394381 0.008244441 0.0018592248 0.003493089 0.00020658053 0.00011268029 0.0018780048 0.004356971 0.0022348256 0.013653095 0.00041316106 0.0036245494 0.00067608175 0.0007324219 0.012019231 7.5120195e-05 0.00011268029 9.390024e-05 0.00020658053 0.00045072116 3.7560098e-05 5.6340145e-05 0.00060096156 3.7560098e-05 0.00013146034 1.8780049e-05 0.00060096156 9.390024e-05 7.5120195e-05 0.00016902044 0.00041316106 0.0013146034 9.390024e-05 0.0007136418 0.00033804087 0.0005258414 0.00011268029 5.6340145e-05 0.00037560097 7.5120195e-05 0.00013146034 0.00020658053 0.0003568209 1.8780049e-05 0.0003192608 9.390024e-05 0.0003192608 0.0016526442 0.0014272836 0.00048828125 0.00045072116 0.000394381 0.000394381 0.0002629207 0.0010516827 0.0002629207 0.00018780048 0.00016902044 0.00020658053 0.00018780048 0.00018780048 0.0014648438 0.004732572 0.0018967849 0.0006573017 0.0037747896 0.003493089 0.00022536058 0.0011080229 0.0026667668 0.0011455829 0.0010141226 0.00022536058 0.0003568209 0.0021597056 0.00016902044 0.00016902044 0.00016902044 0.00056340144 0.00061974156 0.0005258414 0.00018780048 0.00020658053 0.00011268029 0.00020658053 0.00028170072 0.00037560097 0.00033804087 0.00024414062 0.0003192608 0.00016902044 9.390024e-05 0.00011268029 9.390024e-05 0.00080754206 0.00033804087 0.00024414062 0.00024414062 0.00041316106 0.00020658053 0.00018780048 9.390024e-05 0.004338191 0.0011268029 0.00016902044 0.0016150841 0.0009014423 0.0004319411 0.00024414062 0.00018780048 0.0015963041 0.00037560097 0.0003192608 0.00075120194 0.00069486175 0.0004319411 0.0013146034 0.0013897235 0.002328726 0.0012770433 0.0003192608 0.00018780048 0.0011268029 0.00056340144 0.0008638822 0.0120943505 0.4892961 0.00015318628 4.787071e-05 4.787071e-05 0.0001819087 4.787071e-05 8.616728e-05 8.616728e-05 4.787071e-05 1.9148285e-05 2.8722427e-05 2.8722427e-05 9.5741425e-06 9.5741425e-06 9.5741425e-06 9.574142e-05 0.019109989 0.00015318628 2.8722427e-05 9.5741425e-06 4.787071e-05 4.787071e-05 4.787071e-05 2.8722427e-05 4.787071e-05 1.9148285e-05 2.8722427e-05 9.5741425e-06 9.5741425e-06 9.5741425e-06 9.5741425e-06 0.0 0.018277038 0.00015318628 0.00016276042 2.8722427e-05 0.00017233456 8.616728e-05 0.0003159467 0.00016276042 9.5741425e-06 1.9148285e-05 9.5741425e-06 8.616728e-05 5.7444853e-05 2.8722427e-05 9.5741425e-06 2.8722427e-05 0.034285 0.0006318934 0.00062231923 4.787071e-05 0.00073720893 0.0003159467 0.0008425245 0.0005648744 0.00033509498 8.616728e-05 0.000134038 2.8722427e-05 0.000134038 9.574142e-05 5.7444853e-05 0.00029679842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014887791 0.0006318934 0.00062231923 4.787071e-05 0.00069891236 0.0003159467 0.00082337623 0.00050742953 0.00033509498 8.616728e-05 0.000134038 2.8722427e-05 0.000134038 9.574142e-05 5.7444853e-05 0.00020105699 0.012130438 2.8722427e-05 2.8722427e-05 3.829657e-05 0.0010627297 0.0006510417 0.003504136 0.0018669578 8.616728e-05 3.829657e-05 6.7019e-05 2.8722427e-05 9.5741425e-06 2.8722427e-05 1.9148285e-05 1.9148285e-05 0.036716834 0.0005265778 0.0013691023 0.0009861366 0.0016754749 0.001215916 0.004959406 0.0030158549 0.0014552696 0.0010914522 0.00022977941 0.0017712163 0.0012350644 0.00020105699 0.0006127451 0.0017616422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048923865 0.00012446386 0.00021063113 0.00019148285 0.0016754749 0.001005285 0.005064721 0.0028052237 0.00019148285 0.00015318628 0.00023935355 0.0016276041 0.0001819087 0.00015318628 0.00019148285 0.00089996937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018458946 0.0029201133 0.0035232843 0.0020392924 0.0068263635 0.0050934437 0.0048923865 0.004700904 0.009880515 0.0031211704 0.0008712469 0.001072304 0.0060987286 0.00060317095 0.0029201133 0.00540939 0.053663068 0.010703891 0.010014553 0.006931679 0.019569546 0.017539829 0.008655025 0.011508119 0.0332127 0.010416667 0.0034945619 0.004518995 0.01650582 0.0032839307 0.007879519 0.017396217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 178.0 12.511236 2227.0 0.04310732 0.0008980692 0.0004490346 0.0 0.00493938 0.0 0.0 0.0 0.0008980692 0.0 0.0 0.0013471037 0.0 0.0058374493 0.01077683 0.0004490346 0.008082623 0.0017961384 0.00493938 0.0026942075 0.0008980692 0.0004490346 0.006286484 0.0008980692 0.0022451729 0.0013471037 0.0004490346 0.0008980692 0.0004490346 0.0004490346 0.0004490346 0.0 0.003143242 0.013022003 0.0035922767 0.015267176 0.007633588 0.01077683 0.0071845534 0.0103277955 0.0071845534 0.0040413113 0.0008980692 0.0008980692 0.009429726 0.008082623 0.003143242 0.0026942075 0.011225864 0.0044903457 0.012572968 0.020206556 0.0071845534 0.007633588 0.011674899 0.013022003 0.0022451729 0.008980691 0.0004490346 0.008980691 0.0013471037 0.00987876 0.00987876 0.011225864 0.0004490346 0.04984284 0.0040413113 0.018410418 0.024247868 0.092501126 0.0067355186 0.013920072 0.011225864 0.048495736 0.00493938 0.0013471037 0.033677593 0.011225864 0.05478222 0.05298608 0.016165245 0.0004490346 0.061517738 0.02739111 0.0713965 0.01975752 0.0067355186 0.00493938 0.006286484 0.0044903457 0.0017961384 0.0 0.0008980692 0.0 0.0 0.0 5.3565197 0.0 0.0 0.0 1.0 53248.0 53248.0 0.0 0.0 71.0 0.0 1.0 0.0 0.0 0.0 893825600.0 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 5.0 0.0 4.0 0.0 4.0 0.0 17408.0 1024.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -20480.0 -4096.0 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 -0.5142992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.537981 -5.7019978 1.3112781 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17364.0 -1938.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 21408.0 80.0 45056.0 16.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 296.0 45432.0 0.0 0.0 0.0 0.0


Input: 0.13897426 0.011130334 0.004935975 0.007049321 0.004701635 0.0028509737 0.002209587 0.005210855 0.0056558046 0.001787709 0.001974258 0.0022422168 0.0034923605 0.0017890272 0.0027817595 0.00460869 0.002826584 0.0027049645 0.0012168549 0.0011400599 0.003401393 0.0018163834 0.0012972755 0.0012277315 0.0028084563 0.0009900954 0.0013753888 0.0013088112 0.0017692518 0.0010263505 0.0010527179 0.0026139969 0.0042141676 0.00031673824 0.0003661771 0.00048054566 0.0072543276 0.003344044 0.0003714506 0.0003787016 0.0021637739 0.00042253739 0.00032563723 0.00045879255 0.001157858 0.00048318238 0.002908323 0.00035035665 0.001380992 0.00048614873 0.00053393963 0.014285522 0.002048746 0.0004950477 0.00043736905 0.0004775793 0.0019426174 0.0003665067 0.00039880673 0.0036258455 0.0022933036 0.00043275475 0.0018120988 0.00041924146 0.0047563473 0.0015032707 0.00091198203 0.0015388667 0.0018242936 0.020428464 0.0010345904 0.0009999832 0.0017728773 0.0015543575 0.000767291 0.00033783217 0.0021143348 0.0051093404 0.0009347239 0.0010734823 0.044082977 0.0026542072 0.0025658763 0.0030955314 0.0024406314 0.0038852347 0.0012089447 0.0012346529 0.0017781507 0.00051877834 0.00069247355 0.00063182856 0.0007804747 0.0030770742 0.00062985095 0.0017086067 0.0012208101 0.004895435 0.0017056405 0.002833176 0.003065209 0.019486489 0.000983174 0.0014637196 0.0069778 0.006016049 0.000603154 0.0011087487 0.0036525424 0.0016700444 0.0052128327 0.0068986975 0.0038984183 0.00040671695 0.0055058403 0.0033176765 0.009385801 0.0118175335 0.0010780966 0.0009307688 0.0023120902 0.00093571265 0.00061765604 0.00035101586 0.0014073594 0.0007742124 0.00070335006 0.00032398928 0.0013846174 0.0038410693 0.0007857482 0.0020464389 0.0026736532 0.011605276 0.0003704618 0.00029070047 0.0036733067 0.044814672 0.002164433 0.0363837 0.0010497516 0.0018101212 0.00031410152 0.00048021605 0.0014607533 0.00038595265 0.0003487087 0.00030289538 0.0015784177 0.0013038673 0.00028707494 0.00052339263 0.0015250238 0.00039419244 0.0021970626 0.00026894736 0.001393846 0.0012076264 0.0003526638 0.00053624675 0.0015665524 0.00029465556 0.00027619838 0.00029037087 0.001286399 0.011766447 0.00034804954 0.00029926986 0.0017211313 0.00027652798 0.00064369384 0.0003223413 0.0016018188 0.00031574946 0.0004439609 0.00041957106 0.0019083397 0.00035661893 0.0017484875 0.000319375 0.00172212 0.004024982 0.00038133835 0.00046307725 0.0022788015 0.0029257913 0.00221519 0.003403041 0.0013750592 0.0011071007 0.0028074677 0.007240814 0.055603217 0.0025210518 0.0006552296 0.0021001624 0.0031706784 0.0031360711 0.00038628225 0.00037507608 0.0030273057 0.002082035 0.0006001877 0.00033091073 0.001815065 0.00029498516 0.00038694142 0.00032860358 0.0030381824 0.00043769865 0.0007537777 0.0007719053 0.0030174179 0.00028180145 0.00042088944 0.0004093537 0.0051983306 0.00052701816 0.00038628225 0.0007429012 0.0028957983 0.0010431597 0.00043275475 0.0003454128 0.0077671735 0.00038891897 0.0005464641 0.00038661182 0.0022402392 0.0003365138 0.0003668363 0.0002920188 0.023116618 0.002548408 0.00035101586 0.00047560176 0.0051053856 0.00033816174 0.0008055237 0.0003009178 0.0043898406 0.00033816174 0.000317727 0.00036881384 0.0009933914 0.00032333008 0.0007251032 0.0012171846 0.012704137 0.0019139427 0.0012544285 0.001614673 0.004448508 0.0045605693 0.0075381068 0.114892595 0.0020263426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00029682752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0672174e-05 0.0 0.0 1.0224058e-05 0.0005847502 4.947125e-06 4.4524127e-06 9.894251e-07 7.420688e-06 1.0718771e-05 3.8917384e-05 1.7479842e-05 3.2980833e-07 4.9471254e-07 1.1543292e-06 8.2452084e-07 0.027604133 6.1014543e-06 9.894251e-07 0.009203631 0.0002803371 5.606742e-06 1.698513e-05 5.441838e-06 1.1708196e-05 1.3357238e-05 5.771646e-06 6.2663585e-06 8.2452084e-07 4.9471254e-07 1.6490416e-07 8.080305e-06 0.0007115615 9.564442e-06 4.2875085e-06 0.00027044283 0.001228701 3.9577003e-06 0.00016309023 1.4841376e-05 2.2262064e-05 2.0118308e-05 5.54078e-05 2.572505e-05 4.4524127e-06 2.1437543e-06 1.8139459e-06 4.435922e-05 0.0017423774 1.0553867e-05 1.0883676e-05 0.0007019971 0.0010763295 1.6490418e-05 0.0005964584 7.420688e-06 3.56193e-05 2.6714475e-05 8.805883e-05 4.1885658e-05 5.93655e-06 1.9788502e-06 4.2875085e-06 0.0003397026 0.0024272245 2.3416393e-05 1.9953404e-05 0.001705274 0.003541482 4.271018e-05 0.003261145 7.321745e-05 0.00016853206 0.000100261735 0.0007015023 0.00034250595 1.5171184e-05 1.4511567e-05 7.585592e-06 0.003008017 0.006798669 5.3099142e-05 6.4312626e-05 0.009838347 0.009338029 0.00018106478 0.0058118827 0.0019837972 0.003539668 0.0024404167 0.017558502 0.008175454 6.233378e-05 8.030833e-05 5.14501e-05 0.0025149535 0.0033994995 0.00011411369 0.0001264815 0.0101404525 0.012653757 0.00064213685 0.004295589 0.0030017507 0.005356912 0.004240676 0.019580886 0.009987751 0.00026747456 0.00036658198 0.00027835823 0.00028940683 0.0005621583 0.00029930106 0.00027852313 0.0007153543 0.014843519 0.0016952149 0.00096815237 0.0008373834 0.0019933616 0.0014508269 0.0049189264 0.0031270778 0.0011483927 0.0005690843 0.0005616636 0.0006371897 0.00061080506 0.00054352416 0.0006698407 0.0015614775 0.02435882 0.0032276693 0.0012036356 0.0018426392 0.0020215602 0.0026011984 0.004529258 0.0029070957 0.0076940986 0.0019231124 0.0017875612 0.0037190837 0.0015413592 0.0016267797 0.0016304075 0.008983155 0.04235976 0.0070542707 0.0029539284 0.005680454 0.004186587 0.012865494 0.004128376 0.0038788759 0.029042922 0.004435922 0.006146143 0.011725182 0.005100156 0.0036663145 0.007175145 0.044804793 0.065859094 0.008656315 0.004028444 0.011240528 0.017462032 0.028048055 0.009368371 0.008933849 0.049831897 0.003777295 0.00788984 0.008250981 0.01530723 0.009288557 0.023569753 0.049663033 0.02279421 0.0069884737 0.0016041878 0.0067112697 0.011741837 0.018964475 0.0065621966 0.0062215044 0.025481157 0.0028604278 0.005116317 0.0037314515 0.010931003 0.0050330404 0.011751896 0.02000436 0.00014692961 7.3712166e-05 4.073133e-05 5.6232322e-05 0.00010207568 0.00017595275 6.612657e-05 5.0625582e-05 0.00020266723 3.9577e-05 3.9412098e-05 2.9517847e-05 9.547952e-05 3.9412098e-05 9.218143e-05 0.000100261735 10918.0 27.53105 300584.0 0.01619514 0.0002461874 0.00040587655 0.00077183085 0.00029609026 0.029825274 0.00043249142 0.00063875655 0.001350704 0.0012276103 0.00020959199 9.3152e-05 0.0007352354 0.00028610972 0.02582639 0.00043581828 0.00084834854 0.0010878822 0.0014072605 0.0008982514 0.011447716 0.0003326857 0.00088827085 0.00014638172 0.0015935645 0.00018297714 0.0005822 0.00041253027 0.015326831 0.0010878822 0.015193756 0.00027280228 0.000116439995 0.0077648843 0.0057554627 0.012252814 0.0081873955 0.00885942 0.0069265165 0.0068533258 0.004231762 0.012671999 0.0012009954 0.0006187954 0.011870226 0.008200702 0.0027413303 0.006580523 0.010080377 0.002980864 0.008287201 0.02254611 0.012136375 0.00221236 0.004374817 0.00436151 0.0005023554 0.00027612914 0.00011311314 0.00018963085 0.00013307428 0.00017965028 3.659543e-05 0.012435792 0.000186304 0.045564633 0.013690017 0.025643414 0.021764299 0.09904054 0.004464642 0.011471003 0.00809757 0.057501398 0.002115881 0.00781146 0.029219786 0.013716632 0.048738457 0.06598156 0.019967796 0.00027612914 0.04848894 0.02853778 0.08264246 0.018247811 0.007285817 0.0057687704 0.009584676 0.0062278765 0.0010546137 0.00015303542 0.00018963085 0.000116439995 3.326857e-05 5.3229713e-05 5.23215 0.0 9.0 0.0 4.0 3034051.0 389120.0 1.0 0.0 70.0 1.0 1.0 0.0 0.0 0.0 1539919900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 14.0 0.0 5.0 1.0 5.0 1.0 43008.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 297984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5226607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.923542 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.008482 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.110649 0.0 2.4559577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22714.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42851.0 0.0 297904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 70212.0 297904.0 86016.0 0.0 0.0 0.0 0.0 3540.0 385024.0 112.0 68256.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 68368.0 0.0 0.0 288.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.012774476 0.0042341505 0.004017731 0.003945822 0.0040192273 0.0039435206 0.004012324 0.0038374397 0.0040301573 0.0039680274 0.0039139516 0.0038451485 0.0039949506 0.0038643626 0.003965496 0.00394145 0.003931785 0.0038823113 0.0039050924 0.0038385903 0.003965381 0.0039285636 0.0038330676 0.0038017726 0.0039054374 0.0038538927 0.0038040737 0.0037749647 0.0038948522 0.0038092511 0.0038555034 0.0038095964 0.0040256702 0.003925342 0.0038971535 0.0038557334 0.0039845956 0.0038841523 0.0038510163 0.0038328376 0.003936042 0.0039302893 0.003954106 0.0038552734 0.003850441 0.003888294 0.0038231728 0.0038291558 0.004021643 0.00391096 0.004007031 0.0038865684 0.003979188 0.0038349086 0.0039279885 0.003866779 0.003945477 0.0038937018 0.0038154642 0.0037953295 0.003873682 0.0037659905 0.0038309966 0.0038368644 0.00389002 0.003948238 0.0046269493 0.0038781692 0.003952495 0.003925457 0.003850211 0.0038556184 0.0039658416 0.003923386 0.003915102 0.0038804705 0.003983215 0.0040739933 0.003908314 0.0038551583 0.003926953 0.0038029233 0.003907048 0.0039428305 0.0039786124 0.0038904801 0.0038664336 0.0038258191 0.0038560787 0.0038408914 0.0038863383 0.003815004 0.0038329526 0.003800622 0.003783824 0.0038870287 0.0038387054 0.0039092344 0.0038618315 0.00392189 0.003994145 0.0039925342 0.0039159073 0.0038802403 0.0039872415 0.0039188988 0.0037604677 0.0038081007 0.0040009334 0.0039178636 0.003904632 0.0039383434 0.003954911 0.0037583967 0.004007031 0.003971249 0.0040045 0.0039017557 0.0038388204 0.0038489453 0.00386931 0.003883692 0.0038320322 0.003752874 0.003866779 0.003788196 0.0038063747 0.003869425 0.0040111733 0.0038849576 0.0040367157 0.0038844973 0.0038367494 0.0037822132 0.0038513613 0.0037763454 0.0038430775 0.0038239784 0.0038702304 0.0038117825 0.0038925512 0.0038060297 0.003842042 0.0037512633 0.0039017557 0.0038751778 0.0038639025 0.003773239 0.003862982 0.003912686 0.0038521667 0.0037742744 0.003825474 0.0038907104 0.003835944 0.0038268548 0.0038622916 0.0037753098 0.0037994715 0.0038106318 0.0038308816 0.0037960198 0.003842272 0.003802463 0.0038972686 0.0038362893 0.0038599905 0.0038140835 0.0038556184 0.0037888864 0.0038373247 0.0038013123 0.0037768055 0.0037852046 0.003790152 0.0037898067 0.0038017726 0.0037578214 0.0038182256 0.003848255 0.0038954276 0.0038800102 0.003816845 0.0038202964 0.003985746 0.0037959048 0.0037785314 0.0037520686 0.003792338 0.0037773808 0.003771628 0.003794294 0.003862867 0.0038314569 0.0038014273 0.0037788765 0.003817075 0.0037627688 0.003798321 0.003757016 0.0038809306 0.0038186857 0.003869425 0.0037554053 0.0038107468 0.00382766 0.003850556 0.0037976305 0.003881276 0.0038563088 0.003881391 0.003800507 0.003776 0.003771168 0.003792223 0.003765185 0.0038160395 0.0037933735 0.0037941788 0.0037763454 0.0038140835 0.0037508032 0.0038176503 0.0038097114 0.0040204925 0.0037771508 0.003846184 0.003771053 0.003866779 0.0038085608 0.0037932585 0.0038144286 0.003881506 0.0037948692 0.003819031 0.0038062597 0.0037696722 0.0038224827 0.0037849746 0.0037976305 0.0037869303 0.0038061447 0.003850211 0.0038223674 0.003869425 0.0038075254 0.0043868287 0.0038429624 0.0038598755 0.0038185706 0.0038449182 0.0038072953 0.0038720714 0.003835714 0.0038925512 0.0050664605 0.00023125175 5.7539623e-08 0.0 5.7539623e-08 0.0 0.0 0.0 1.15079246e-07 0.0 0.0 0.0 0.0 5.7539623e-08 0.0 0.0 4.142853e-06 0.0004456444 4.6031698e-07 2.8769813e-07 6.904755e-07 1.2083322e-06 1.7261887e-07 1.0932529e-06 7.480151e-07 1.3234113e-06 7.480151e-07 2.8769813e-07 5.178566e-07 4.6031698e-07 4.6031698e-07 1.380951e-06 1.5880936e-05 0.00032636474 6.904755e-07 2.8769813e-07 6.3293584e-07 5.178566e-07 4.6031698e-07 5.7539626e-07 8.630944e-07 1.0932529e-06 7.480151e-07 5.7539626e-07 3.4523774e-07 1.4960302e-06 3.4523774e-07 1.8988076e-06 1.6628952e-05 0.00081274717 4.7182493e-06 4.430551e-06 3.6825359e-06 4.0277737e-06 2.761902e-06 2.9920604e-06 3.6825359e-06 3.970234e-06 4.7182493e-06 3.0496e-06 2.5317433e-06 2.9920604e-06 1.070237e-05 1.0069434e-05 6.565271e-05 0.0009643066 8.803562e-06 1.22559395e-05 8.9186415e-06 2.1117043e-05 6.732136e-06 6.2142794e-06 6.2142794e-06 1.35218115e-05 5.2936452e-06 4.0277737e-06 6.0416605e-06 8.573404e-06 1.0069434e-05 1.075991e-05 8.556142e-05 0.0011070048 1.22559395e-05 1.4442446e-05 5.638883e-06 0.00010184514 4.430551e-06 1.1910703e-05 6.0992e-06 2.2555532e-05 8.5158645e-06 4.775789e-06 1.1277766e-05 1.0817449e-05 3.1646794e-06 1.1105148e-05 0.00019609503 0.0007659675 3.6825359e-06 1.1968242e-05 9.436499e-06 0.00011306536 4.60317e-06 1.0011895e-05 4.488091e-06 2.4914658e-05 4.2579322e-06 3.1646794e-06 7.825389e-06 4.8333286e-06 2.5317433e-06 1.0242053e-05 0.00019741846 0.0009710387 1.3234113e-06 1.1507925e-06 1.2658717e-06 0.00051106693 4.948408e-06 2.3418626e-05 4.2579322e-06 3.7745995e-05 1.3234114e-05 3.7976151e-06 1.22559395e-05 3.9126944e-06 2.9345208e-06 2.1749978e-05 0.0006248803 0.00045795788 1.1738083e-05 1.530554e-05 1.3234114e-05 1.9160694e-05 5.7539623e-06 1.7952363e-05 1.542062e-05 4.1025753e-05 6.3868983e-06 9.091261e-06 1.8642839e-05 1.0242053e-05 1.8585299e-05 1.7664664e-05 2.8884891e-05 0.0003088727 8.170627e-06 7.307532e-06 7.76785e-06 4.430551e-05 7.2499924e-06 1.2773797e-05 1.6513872e-05 5.2706295e-05 4.315472e-06 7.76785e-06 3.555949e-05 1.214086e-05 4.2003926e-06 1.7031729e-05 4.252178e-05 0.00035749367 8.803562e-06 1.530554e-05 2.2382914e-05 8.699991e-05 1.1623004e-05 4.2579322e-05 3.2912663e-05 7.980746e-05 1.3349193e-05 1.3694431e-05 8.29146e-05 1.0414672e-05 1.6571412e-05 1.3982129e-05 0.0001338947 0.00042832497 1.6283713e-05 1.6341253e-05 1.2601177e-05 0.00013826771 1.6916649e-05 2.4051564e-05 4.913884e-05 0.00011421616 2.3476166e-05 2.905751e-05 0.00012324988 2.9920604e-05 2.4799578e-05 3.521425e-05 0.00021439264 0.0002847636 2.5144816e-05 2.140474e-05 2.9863066e-05 7.508921e-05 2.307339e-05 3.1876953e-05 4.02202e-05 7.992254e-05 3.527179e-05 3.544441e-05 4.6952333e-05 2.8309494e-05 3.6134883e-05 5.805748e-05 0.00020904145 0.000225095 1.7492046e-05 2.002379e-05 2.761902e-05 5.5640816e-05 2.0656726e-05 5.074995e-05 5.9438433e-05 4.7182493e-05 3.371822e-05 3.0496001e-05 2.5374975e-05 2.5317435e-05 3.4523775e-05 5.1152725e-05 0.00010040664 0.00033695204 0.00011640266 0.00012060305 0.00012647209 0.0001399939 0.00010040664 0.00014948794 0.00011306536 0.00010800188 6.3236046e-05 5.3972166e-05 5.1843203e-05 6.617057e-05 4.8390822e-05 8.498602e-05 8.763285e-05 0.064227164 0.06156003 0.062062815 0.06191937 0.06212398 0.06163829 0.062160287 0.061605603 0.06107952 0.061232634 0.06091225 0.06066696 0.0608138 0.060690667 0.060835205 0.06115208 42561.0 5.7467165 244586.0 0.011546041 0.010192734 0.010233619 0.00939138 0.010879609 0.010237708 0.0099678645 0.009849296 0.010658828 0.010622031 0.010920494 0.009702109 0.010155937 0.010331744 0.010617943 0.010503463 0.011255754 0.011030884 0.010900051 0.010761041 0.010859166 0.010098698 0.010421692 0.010160025 0.011750468 0.0104707545 0.00989427 0.0099842185 0.010327656 0.009963776 0.010172291 0.009947421 0.009804322 0.010867343 0.010474843 0.010491197 0.01034401 0.0105443485 0.010311302 0.010049635 0.010572968 0.010384895 0.010074167 0.00972664 0.010413515 0.010188646 0.009804322 0.009902447 0.010622031 0.009763437 0.010155937 0.010597499 0.010789661 0.010667005 0.010098698 0.009730728 0.0099842185 0.010106875 0.010200911 0.009554922 0.0099760415 0.009608072 0.009419999 0.009657135 0.0099106245 0.011300729 0.010213177 0.011010442 0.011537864 0.011725937 0.011529687 0.011018619 0.010822369 0.011394765 0.009632603 0.009849296 0.011971249 0.011178073 0.010895963 0.01107177 0.012118437 0.0093586715 0.011779088 0.011652343 0.012310598 0.010577057 0.00998013 0.010327656 0.0099923955 0.010180469 0.00983703 0.009485416 0.009804322 0.009113359 0.010217265 0.009505859 6.58203 0.0 30.0 0.0 127.0 8691472.0 17915904.0 1.0 0.0 4.0 1.0 1.0 1.0 1.0 0.0 1544689500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 6.0 0.0 6.0 0.0 11418616.0 1024.0 4096.0 6.0 3.0 5.0 2.0 2.0 114176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1411072.0 0.0 0.0 0.0 0.0 0.0 0.0 12.410365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8384757 0.0 0.0 0.0 0.0 0.0 0.0 15645465.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2252992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 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 5.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 368.0 17801216.0 2252992.0 15540224.0 0.0 0.0 37136.0 8654336.0 16.0 17801636.0 28.0 17797120.0 0.0 0.0 0.0 0.0 40.0 17801584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0