Input: 0.1513456 0.00998221 0.006012681 0.0043694414 0.0067343223 0.0024586606 0.002064947 0.00314411 0.008356567 0.0013595017 0.001650438 0.0013814969 0.0038947456 0.0014330855 0.001217133 0.003395655 0.0066923317 0.0014956718 0.0012773197 0.0008212198 0.0026100273 0.0015416618 0.0009741863 0.0009165989 0.002757595 0.0007642323 0.00071124395 0.00070944434 0.0022113149 0.0007680315 0.00067065284 0.00072584074 0.010564482 0.0007624327 0.0008164209 0.00061506504 0.0048557348 0.0011101564 0.00063626043 0.00055247877 0.0016928286 0.0007256408 0.0006126656 0.0009933821 0.0019475727 0.0015184669 0.0013141116 0.0008974031 0.008366165 0.002834978 0.0024632595 0.009910826 0.0024140703 0.0024288672 0.0013870957 0.0015034701 0.0026188255 0.0014254872 0.0008774075 0.0014372846 0.0017518157 0.00078102865 0.00055487826 0.00048909266 0.009065811 0.0038413573 0.00432985 0.0067933095 0.0049431156 0.023232304 0.0046927705 0.0026692143 0.0025088496 0.0031133168 0.0015050698 0.0011007584 0.0031073182 0.00405611 0.0024418642 0.0031651056 0.008834662 0.0036300037 0.004111498 0.006904085 0.0044634207 0.010783634 0.0045372047 0.0024514622 0.0022165137 0.0057367412 0.0028745693 0.0042908587 0.0017154237 0.0036731942 0.0034794365 0.003291078 0.0019135801 0.007956655 0.0014370847 0.003185901 0.011104563 0.008957035 0.0035260264 0.0021121367 0.0066887327 0.0061890422 0.004912922 0.000989183 0.0046905708 0.0029797463 0.006104061 0.0082631875 0.0031563076 0.000898003 0.0073899785 0.005249848 0.011743024 0.0075395457 0.0017020266 0.0012891172 0.0026916096 0.0017604138 0.0007966252 0.00093919394 0.002077544 0.0016404401 0.0013557025 0.00088180654 0.0055489824 0.0017284207 0.0007590335 0.008379562 0.0035328248 0.004449024 0.001244127 0.000825219 0.0017954061 0.010538888 0.002059948 0.054918952 0.001253325 0.012209721 0.0011007584 0.0026696143 0.0025004514 0.0006996465 0.0009791852 0.0009084007 0.0015316639 0.001057568 0.00044210302 0.00041230954 0.0011097565 0.0005632764 0.00037211835 0.0015574583 0.00093739433 0.0004908923 0.00064285897 0.00042910586 0.0010753641 0.0020027605 0.00037771714 0.0006400596 0.00097198674 0.001148748 0.00035612186 0.00036432006 0.0009919824 0.00035252265 0.0004535005 0.00036471998 0.00094859186 0.00037751716 0.00037951674 0.00046509795 0.0022437077 0.00084241515 0.001518067 0.0009443928 0.001189739 0.00085421256 0.0006044674 0.000615465 0.0027220028 0.0024136705 0.0065655597 0.0009771856 0.0013313079 0.0006716526 0.0009379942 0.00074543647 0.010271747 0.0010823625 0.0016378406 0.012154933 0.0034848354 0.0008176206 0.0049455147 0.0025464413 0.0018307983 0.0016720331 0.0007132435 0.0007872273 0.0015490601 0.0005268844 0.00077283045 0.0007104441 0.0023510843 0.0008350168 0.0024028728 0.001481275 0.0019725673 0.0006754518 0.0016352412 0.0011591457 0.0048983255 0.00074043754 0.0011961375 0.0024262676 0.0022523059 0.0017552149 0.00084901374 0.0012085348 0.0023350876 0.0009459925 0.00088760525 0.0012515254 0.0021737232 0.0016192447 0.0008218197 0.0010997587 0.028331984 0.004662977 0.0008786072 0.0052182553 0.0047201645 0.0009601893 0.0010049795 0.0010195763 0.005523988 0.0007660319 0.0014818748 0.0009183985 0.004107099 0.00078222837 0.0016562366 0.0010859617 0.006594153 0.001202936 0.0012079349 0.0013790975 0.009076209 0.0015510597 0.002980746 0.073326916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1201864e-05 5.000832e-07 0.0 0.00031935313 5.8009653e-05 1.3002164e-06 6.801132e-06 4.6007654e-06 0.0 0.0 3.0004992e-07 4.0006657e-07 0.0 0.0 0.0 7.201198e-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 0.0064341705 3.0004992e-07 1.0001664e-07 0.008303782 4.2507072e-05 1.2001997e-06 6.5010818e-06 3.8006324e-06 0.0 0.0 1.0001664e-07 0.0 0.0 0.0 4.0006657e-07 0.0048712105 0.0009008499 1.0401731e-05 0.00014912481 0.0005443906 1.8603096e-05 1.7302878e-05 9.701614e-05 4.440739e-05 1.1501914e-05 1.1001831e-06 1.700283e-06 2.6004327e-06 7.6012648e-06 2.9004827e-06 5.600932e-06 0.0004380729 0.0013833302 0.00014082344 0.0006526086 0.0004963826 0.0034528745 0.0018544085 0.00036506075 0.00015012498 1.0401731e-05 2.0003329e-06 2.800466e-06 1.700283e-06 9.981661e-05 6.6010984e-06 2.5204194e-05 0.0009830636 0.0030811126 0.0001635272 0.0017856972 0.00037106173 0.0018226033 0.00083013816 0.007463842 0.002925787 4.080679e-05 4.3707274e-05 8.601432e-06 2.560426e-05 3.540589e-05 1.4702447e-05 0.00030335048 0.0013626268 0.012050405 0.0013671275 0.0024741117 0.0015523583 0.008508216 0.004230904 0.014024734 0.007486046 0.00058599754 0.00019853303 0.00011551922 0.00021043501 0.0001760293 0.0001689281 0.0005780962 0.003011601 0.015468274 0.0011680943 0.0014018333 0.001057976 0.005654741 0.0017892978 0.0070169675 0.0037824295 0.0018231034 0.0005124853 0.00035845966 0.00070161675 0.000685214 0.00057289534 0.0006708116 0.0021944651 0.019312814 0.0016170691 0.001917319 0.0017766956 0.0069805617 0.0032044332 0.007339821 0.0043958314 0.005040939 0.0011894979 0.0011199864 0.0018950154 0.0017120849 0.0011703947 0.0022426732 0.005041439 0.06461445 0.007580661 0.0074900463 0.009097514 0.020484408 0.020895677 0.016601963 0.011450306 0.03792771 0.0045636594 0.0033911644 0.008591129 0.013588361 0.008176461 0.018794227 0.034748983 0.08524338 0.013537353 0.013660773 0.017658139 0.033422563 0.040032662 0.027965354 0.020773556 0.06734791 0.0080910465 0.0062209354 0.0136746755 0.029077439 0.017658439 0.03519866 0.060809918 0.00022573756 5.7309535e-05 9.051506e-05 7.711283e-05 0.00011571925 0.00013752289 0.00013912315 0.000103517224 0.00023293876 3.3705608e-05 5.0108338e-05 6.79113e-05 0.0001250208 6.901148e-05 0.00011731952 0.00020093344 46706.0 14.565045 680275.0 0.04914483 0.0007570468 0.0010025357 0.00069530704 0.0012980045 0.0010069457 0.0004233582 0.00031604865 0.0011495351 0.00066737714 0.00062915735 0.00029546875 0.0030708169 0.0049582887 0.005608026 0.0019301018 0.025673442 0.013663592 0.011285142 0.009575539 0.0077159973 0.0090713315 0.005125868 0.006587042 0.005411047 0.005359597 0.0015008636 0.00077174674 0.00081143656 0.00091286615 0.00047921797 0.00010583955 0.00055712764 0.019208409 0.0074734483 0.022551173 0.016287532 0.021797067 0.008974312 0.004013083 0.0024989895 0.014789607 0.0008628863 0.00097460585 0.008062916 0.0083436845 0.010219397 0.01646246 0.01179376 0.010131197 0.014604388 0.016012643 0.019642057 0.006038734 0.005247878 0.0022887802 0.0018110323 0.0041248025 0.0011480651 0.0030634669 0.00076292676 0.0027033186 0.0028988277 0.011705561 0.0003542685 0.0511499 0.006123994 0.01892323 0.031056559 0.060441732 0.008453934 0.010679505 0.0065488224 0.038457975 0.0013362244 0.001877182 0.023321452 0.017459115 0.038365368 0.05476609 0.012856565 0.001887472 0.048208445 0.030896328 0.045315497 0.014639668 0.0074293483 0.0022241005 0.003992503 0.006870751 0.0013024145 0.00010289956 0.00050420786 0.0001411194 0.00013376943 0.00012200948 5.613024 5.0 32.0 7.0 1.0 5001097.0 10350592.0 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 5097984.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -348672.0 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 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5097984.0 0.0 0.0 0.0 0.0 0.0 0.0 -27136.0 4736000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.536879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -348500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 25201.0 0.0 0.0 0.0 0.0 0.0 -88760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5097716.0 0.0 0.0 0.0 0.0 0.0 0.0 -27014.0 4736000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27014.0 5222400.0 4736000.0 5611520.0 0.0 0.0 0.0 0.0 348500.0 5259264.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5255168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.9383923 0.001067023 0.00043996712 0.00040501644 0.00055304274 0.0010341282 0.0010608552 0.0009354441 0.00027960527 0.00012541118 0.00018092105 0.00016036184 0.00014185856 0.00035567433 9.662829e-05 0.0009827303 0.0005078125 0.00014597039 0.00012746711 9.251645e-05 0.00015213816 0.00025904606 0.00011307566 8.429276e-05 0.00019942434 0.00016858552 5.756579e-05 8.018092e-05 0.00028782894 0.00014185856 0.0001747533 9.4572366e-05 0.00048108553 7.401316e-05 6.3733554e-05 0.00016858552 0.0011266448 0.00011307566 4.9342107e-05 3.700658e-05 0.00014185856 3.90625e-05 4.3174343e-05 7.1957234e-05 5.3453947e-05 0.0001171875 0.00014802632 2.8782895e-05 0.0002816612 4.3174343e-05 0.00010690789 0.00030838815 0.00023643092 7.606908e-05 8.018092e-05 5.3453947e-05 0.0001768092 8.018092e-05 4.7286183e-05 0.000495477 3.0838815e-05 5.756579e-05 3.2894735e-05 2.8782895e-05 0.00027960527 0.0006907895 9.662829e-05 0.00032483554 0.00071957236 0.00039884867 0.0002528783 0.0002734375 0.0023663652 0.00063527963 2.2615131e-05 5.756579e-05 0.00075452303 0.00021792763 0.00018708882 0.00013774671 0.00034539474 7.1957234e-05 0.00031866776 0.00040501644 0.0004379112 0.00020764803 0.00014185856 0.00064350327 0.00013980264 4.1118423e-05 3.2894735e-05 5.1398027e-05 0.00024671052 4.7286183e-05 5.5509867e-05 0.00014597039 0.00018297698 0.00088815787 0.00011101973 0.00048519738 0.0006537829 0.0024074835 0.0002446546 0.00025699014 0.00029194079 0.00097245065 8.2236846e-05 0.00016858552 0.00086143095 0.00037417765 0.000910773 0.0010341282 0.0009580592 0.00010074013 0.0014597039 0.0006722862 0.0018318257 0.00044407893 0.00045641448 0.00015213816 0.00024259869 0.00035567433 6.167763e-05 4.7286183e-05 0.0001171875 8.2236846e-05 6.578947e-05 7.401316e-05 0.0003495066 0.00010074013 7.606908e-05 0.00038856908 0.0006722862 0.00034745067 3.2894735e-05 4.1118423e-05 0.00011307566 0.0006805099 4.5230263e-05 0.0016858552 0.000121299345 0.00066200655 2.4671053e-05 2.6726973e-05 0.0012109375 1.0279606e-05 2.8782895e-05 2.2615131e-05 3.90625e-05 1.2335527e-05 2.0559211e-05 1.0279606e-05 6.7845394e-05 2.0559211e-05 3.0838815e-05 2.4671053e-05 4.5230263e-05 1.6447368e-05 1.4391448e-05 2.2615131e-05 7.8125e-05 2.2615131e-05 3.495066e-05 2.2615131e-05 6.578947e-05 2.0559211e-05 3.0838815e-05 1.0279606e-05 4.1118423e-05 2.8782895e-05 3.0838815e-05 3.90625e-05 4.3174343e-05 2.8782895e-05 2.0559211e-05 2.4671053e-05 0.00010485198 5.756579e-05 0.00016447369 2.0559211e-05 3.700658e-05 4.3174343e-05 2.8782895e-05 7.1957234e-05 0.00011513158 0.00010279605 0.00031866776 8.2236846e-05 5.962171e-05 5.1398027e-05 3.90625e-05 6.167763e-05 0.00037828946 6.3733554e-05 4.1118423e-05 0.00015830592 0.00013363487 8.6348686e-05 8.84046e-05 0.0001747533 0.00020764803 9.251645e-05 5.5509867e-05 0.00016241777 9.4572366e-05 7.1957234e-05 0.00012335526 9.251645e-05 0.00022409539 1.6447368e-05 6.3733554e-05 3.495066e-05 4.3174343e-05 2.4671053e-05 3.495066e-05 5.1398027e-05 0.00022409539 4.7286183e-05 3.0838815e-05 0.00011307566 8.2236846e-05 5.1398027e-05 5.1398027e-05 6.167763e-05 0.00014185856 6.7845394e-05 2.4671053e-05 3.90625e-05 2.8782895e-05 2.4671053e-05 4.1118423e-05 2.4671053e-05 0.00046669407 0.0007504112 4.9342107e-05 0.00017064145 0.00013569079 6.7845394e-05 5.5509867e-05 8.2236846e-05 0.00013157894 5.962171e-05 9.251645e-05 5.962171e-05 4.3174343e-05 5.756579e-05 0.00025904606 4.5230263e-05 0.00011513158 7.1957234e-05 7.606908e-05 0.00011924342 8.018092e-05 0.00030016448 0.0010731908 0.0016097862 0.89662445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002007722 1.0301292e-06 2.3692972e-05 1.0301293e-05 1.0301292e-06 2.0602583e-06 4.1205167e-06 5.1506463e-06 3.0903877e-06 0.0 2.0602583e-06 0.0 1.0301292e-06 0.0 2.1632713e-05 2.678336e-05 0.0038794666 2.1632713e-05 4.9446204e-05 2.7813488e-05 3.0903877e-05 1.6482067e-05 5.253659e-05 2.575323e-05 8.241033e-06 4.1205167e-06 3.0903877e-06 7.2109046e-06 4.1205167e-06 2.0602583e-06 3.708465e-05 4.9446204e-05 0.001849082 1.7512197e-05 6.3868014e-05 2.7813488e-05 2.0602583e-06 3.0903877e-06 3.0903877e-06 4.1205167e-06 3.0903877e-06 1.0301292e-06 3.0903877e-06 1.0301292e-06 4.1205167e-06 1.0301292e-06 5.6657107e-05 6.901866e-05 0.0052433577 7.2109046e-06 0.00013288666 6.0777624e-05 8.035008e-05 8.241034e-05 0.00042441324 0.00020499571 7.2109046e-06 8.241033e-06 2.0602585e-05 1.2361551e-05 9.2711625e-06 5.1506463e-06 1.0301293e-05 1.9572455e-05 0.0016265741 9.2711625e-06 3.708465e-05 4.9446204e-05 5.047633e-05 3.2964133e-05 0.00017100145 8.4470594e-05 8.241033e-06 5.1506463e-06 5.1506463e-06 1.0301293e-05 7.2109046e-06 4.1205167e-06 2.0602583e-06 6.1807755e-06 0.0062003476 0.0003389125 0.00018130275 8.4470594e-05 3.6054524e-05 7.004879e-05 5.150646e-05 0.00015760977 5.5626977e-05 4.6355814e-05 0.000113314214 0.00015245912 0.00012052512 0.00010610331 0.00033685224 0.0003873286 0.0040772515 1.7512197e-05 0.00017306171 7.725969e-05 0.00023486947 0.00021220662 0.0007530245 0.0004913716 0.000112284084 2.0602585e-05 3.1934007e-05 2.4723102e-05 1.8542325e-05 1.8542325e-05 3.0903877e-05 3.5024394e-05 0.0078052892 0.00024517076 0.00023383934 0.00016173029 0.00093638746 0.00058923394 0.0020283244 0.001315475 0.00047076907 3.6054524e-05 5.047633e-05 9.271163e-05 0.00015657964 5.5626977e-05 0.00019881495 0.0003914491 0.0053916965 0.00011949499 0.000111253954 0.00013700718 0.0011928896 0.00080350076 0.0034869874 0.0023167606 0.0004295639 3.914491e-05 4.4295557e-05 8.138021e-05 0.00013494692 8.138021e-05 0.0001339168 0.00026371307 0.0018212685 0.00044192543 0.00014009757 0.00016997132 0.0003770273 0.0004027805 0.0014658739 0.001004376 1.7512197e-05 2.7813488e-05 1.7512197e-05 7.931995e-05 8.7560984e-05 0.00010713344 3.3994264e-05 0.00013494692 0.003833111 0.00042441324 0.0002565022 0.0002647432 0.00036363563 0.0003100689 0.0006984276 0.0006870962 0.0002616528 0.0001308264 6.4898144e-05 0.00033582211 0.00016894119 0.00015348925 0.00015657964 0.00032861123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036239945 0.0007210905 0.0005861435 0.0005851134 0.0021807835 0.00029152658 0.00048210047 0.0004439857 0.0020674693 0.00018439312 0.00010095266 0.00036775612 0.0006603128 0.00027401437 0.0006386801 0.0015596156 0.0023929903 0.00031109902 0.0007406629 0.00047901008 0.0019047089 0.00051506463 0.00027298424 0.00037496703 0.0018995582 0.0010950273 8.5500724e-05 0.00017512197 0.0006489814 0.00033994264 0.0005140345 0.000908574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 482.0 15.257261 7354.0 0.0024476475 0.00013598042 0.0 0.0 0.005847158 0.0 0.0 0.0 0.00027196083 0.0 0.0 0.0 0.00013598042 0.00095186295 0.0038074518 0.0 0.0033995104 0.00040794126 0.0019037259 0.004215393 0.001631765 0.0 0.0012238238 0.0 0.00040794126 0.00054392166 0.0 0.0010878433 0.0 0.0008158825 0.0 0.00040794126 0.0017677455 0.015773728 0.0028555887 0.013598042 0.010606472 0.012510198 0.011830296 0.013870003 0.009382649 0.011558335 0.0 0.0013598042 0.006799021 0.0046233344 0.005167256 0.004215393 0.009110688 0.002583628 0.013326081 0.020397063 0.013598042 0.009382649 0.004487354 0.03236334 0.0006799021 0.00027196083 0.00027196083 0.00054392166 0.0021756866 0.00095186295 0.0014957846 0.0043513733 0.00027196083 0.04460158 0.0040794127 0.023932554 0.024884416 0.13244493 0.006255099 0.009382649 0.008566766 0.04596138 0.0008158825 0.003943432 0.0395703 0.016453631 0.04161001 0.04636932 0.037938535 0.001631765 0.072613545 0.030323634 0.083763935 0.017677454 0.0054392167 0.0055751973 0.008158825 0.013598042 0.0014957846 0.0 0.0 0.0 0.0 0.0010878433 5.059401 0.0 0.0 0.0 1.0 486400.0 512000.0 1.0 88.0 193.0 1.0 1.0 0.0 0.0 0.0 1500046200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 381952.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74752.0 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 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -381952.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8376718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6355466 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.48533472 0.0 3.3934398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74344.0 0.0 0.0 0.0 0.0 20004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -381856.0 0.0 1304.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 -1.0 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 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -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 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 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 -2.0 -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 -2.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -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 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2775.0 390752.0 100.0 422240.0 1304.0 503808.0 20004.0 483328.0 0.0 0.0 640.0 507904.0 56.0 385860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1576.0 389120.0 544.0 418244.0 0.0 0.0


Input: 0.19710517 0.01881535 0.0058647506 0.00810994 0.005230771 0.007800663 0.003947192 0.0035838298 0.014514364 0.0030023728 0.002962151 0.00410515 0.0039305952 0.0022231264 0.0020622397 0.011283743 0.00937868 0.002902209 0.0015951997 0.0021057806 0.0017133264 0.009638364 0.0013661704 0.0012462863 0.0042139045 0.0041861786 0.0011558852 0.0012646399 0.0014704344 0.0012287138 0.0012617111 0.0018648411 0.008855604 0.0013653893 0.00248652 0.0011148825 0.014539942 0.0012326188 0.0012611254 0.0012150462 0.004126237 0.0010479115 0.0011076583 0.0024168154 0.0012509724 0.0015918803 0.0035428272 0.0028567156 0.008056051 0.002422868 0.0025903934 0.0042810705 0.002120815 0.00089366327 0.0012917798 0.0009975367 0.0054701483 0.0017922078 0.0013614843 0.003685165 0.0013042758 0.0010689985 0.0010014417 0.0013485978 0.010411362 0.009660623 0.002496673 0.0041990653 0.0062087825 0.007345143 0.0019173636 0.0022945884 0.08180133 0.008520357 0.002018894 0.0011824393 0.008707212 0.0050630504 0.00083508797 0.0010457637 0.0041984795 0.0011429986 0.0011484657 0.0011916161 0.0024099816 0.0035080723 0.0019808202 0.0031439296 0.0025716492 0.00055509823 0.00044497673 0.0012642494 0.0033905315 0.0023061081 0.0017266035 0.002815908 0.0035199828 0.0017068832 0.001239062 0.0015309621 0.0019858966 0.0021251105 0.0017886932 0.00078920403 0.002025142 0.000774365 0.00037507692 0.0005025758 0.0013204816 0.00080189534 0.0007679217 0.00085422257 0.0034491066 0.00044107172 0.0020352951 0.0026249527 0.007507201 0.004705351 0.00055705075 0.00091787433 0.0018250099 0.0006947026 0.0005025758 0.0006950931 0.0012171939 0.00090908806 0.0006076207 0.0015918803 0.0049927603 0.0020864508 0.00057267083 0.012746953 0.0032286684 0.007251227 0.00046118256 0.00091846014 0.0017808832 0.016372176 0.0018236431 0.047672845 0.00064510887 0.013041978 0.00042193715 0.00057403755 0.018565625 0.0003975308 0.00052210083 0.001677986 0.0015071415 0.0007528874 0.00038308222 0.0005929769 0.0011039485 0.0003842537 0.00034598456 0.00034637505 0.0009172886 0.00039460202 0.00039967854 0.0005467025 0.0016578751 0.00060078694 0.00052873936 0.0006076207 0.000723014 0.0005970772 0.00056017475 0.00073297176 0.0012203179 0.0005170243 0.00061816425 0.0005480692 0.0007277 0.00053186336 0.00053498737 0.0007003649 0.0015951997 0.00049261795 0.0006224598 0.00048207442 0.00055529346 0.00037136718 0.00045220103 0.00088175293 0.0014067825 0.00075972115 0.00085187954 0.00060742546 0.00067302975 0.0004582538 0.0004391192 0.00057755207 0.0077770376 0.004817034 0.0016075005 0.0042025796 0.0044132555 0.00084953656 0.0027278499 0.004717261 0.0033686634 0.002622805 0.0014372417 0.002919196 0.0017756114 0.0006658055 0.0016112102 0.0025093642 0.002607185 0.00084426475 0.0014013156 0.0007101274 0.00064842816 0.00052444387 0.0023439866 0.001070951 0.0019228306 0.0010344391 0.0010973099 0.0019050628 0.000896592 0.0024644565 0.00056056527 0.0007638214 0.0030287316 0.00056798477 0.0005691563 0.0008063861 0.00068904035 0.0005047235 0.00051624334 0.00075815915 0.007897703 0.0044310233 0.0013357112 0.0019642238 0.003530331 0.0005644703 0.00049300847 0.0007306288 0.006231041 0.00099617 0.0010190143 0.0013275107 0.00071871845 0.00050374726 0.0010955527 0.00078158925 0.004147324 0.0014657483 0.00206634 0.00072399026 0.0009895314 0.0006962646 0.0024031478 0.040838283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001928711 2.1484375e-06 0.0 0.0 7.8125e-07 3.90625e-07 7.8125e-07 4.882813e-07 8.7890623e-07 3.90625e-07 5.859375e-07 3.90625e-07 2.9296876e-07 0.0 0.0 0.0 0.0021919922 4.6191406e-05 2.8613282e-05 1.7382812e-05 1.2890625e-05 2.578125e-05 7.8125e-06 7.8125e-06 5.761719e-06 5.46875e-06 6.8359377e-06 5.3710937e-06 6.738281e-06 3.7109376e-06 4.980469e-06 2.265625e-05 0.018574316 0.00030371093 0.00011347656 0.0002758789 0.0001959961 0.00028408202 0.000140625 7.792969e-05 5.8398437e-05 6.806641e-05 7.685547e-05 5.8496094e-05 8.017578e-05 3.3691405e-05 4.560547e-05 0.0006126953 0.0011862305 3.4277346e-05 1.37695315e-05 1.171875e-05 1.3574218e-05 2.3046876e-05 8.886719e-06 1.4160156e-05 1.71875e-05 1.0644531e-05 6.5429685e-06 5.078125e-06 5.3710937e-06 1.6992188e-05 5.761719e-06 2.6757813e-05 0.0016022461 2.421875e-05 1.7089844e-05 2.7539063e-05 3.3496093e-05 3.2714845e-05 5.9277343e-05 4.326172e-05 2.3144532e-05 1.0351562e-05 6.738281e-06 1.0449219e-05 8.496094e-06 4.9609374e-05 7.714843e-06 4.3652344e-05 0.001964746 4.2578125e-05 5.029297e-05 7.861328e-05 4.3457032e-05 3.3203127e-05 5.7910158e-05 5.019531e-05 4.0527342e-05 2.6367188e-05 3.4960936e-05 2.7929687e-05 3.330078e-05 3.173828e-05 3.0859374e-05 5.3320313e-05 0.006759668 0.00033125 0.00051591796 0.00041572266 0.00022753906 9.912109e-05 0.00019912109 0.00012226563 0.00013125 0.00016328125 6.09375e-05 6.552735e-05 6.259765e-05 0.00016591797 9.580078e-05 0.00078408205 0.08073896 0.004902246 0.007196191 0.007405957 0.003824121 0.0018327149 0.0047532227 0.0018329101 0.0018479492 0.002128711 0.0012354492 0.0012172852 0.0012694336 0.0023833984 0.0013908204 0.010840625 0.04189746 0.0035183593 0.0042382814 0.0033791992 0.0025617187 0.0014117188 0.0030246093 0.001586621 0.0027951172 0.0012350586 0.0007868164 0.0008051758 0.0008415039 0.0015052734 0.000796582 0.005416504 0.008668457 0.0017146484 0.00055322266 0.0014048828 0.00095771486 0.0011528321 0.000979004 0.0014611328 0.00019052734 0.00014140626 0.00019824218 0.000119335935 0.00018076172 0.00084433594 0.0003013672 0.0003321289 0.01812627 0.004151367 0.0017901367 0.0038503907 0.0020444335 0.0015913086 0.0017780274 0.002713379 0.0008772461 0.00081113284 0.0029707032 0.0006708984 0.00086445315 0.0015741211 0.0011355468 0.0012505859 0.009776172 0.0021474608 0.0017587891 0.0018557617 0.006195801 0.0010510742 0.00078115234 0.0011400391 0.0050024414 0.0012644532 0.00065888674 0.00077861326 0.0019425781 0.0007893555 0.0010484376 0.0018089843 0.09539785 0.027000194 0.030385938 0.018286426 0.1257334 0.022778027 0.008858105 0.019669726 0.093713574 0.019891113 0.004673242 0.0065418947 0.038797755 0.010965332 0.018575195 0.04013223 0.0072472654 0.002295215 0.0032639648 0.0025507812 0.011833691 0.00341084 0.0012944336 0.0014566407 0.009851367 0.0030398436 0.00063867186 0.0008779297 0.0038913086 0.0023917968 0.0049078125 0.0046484377 0.00020478516 7.705078e-05 8.4863284e-05 0.0001125 6.455078e-05 6.738281e-05 0.0001399414 9.53125e-05 6.044922e-05 4.3554686e-05 4.6777343e-05 3.8867187e-05 3.7304686e-05 3.955078e-05 4.326172e-05 4.3847656e-05 13776.0 11.67937 160895.0 0.017769353 0.00026725503 0.00038534447 0.00023617888 0.030945648 8.079804e-05 0.00018024177 0.0001678113 0.0040336866 0.0002423941 0.00063395384 0.001783772 0.00012430467 0.0019329377 0.00744585 0.00082041085 0.020037914 0.014121011 0.013400043 0.023506014 0.012306162 0.012212934 0.012778521 0.012132136 0.014506355 0.015090587 0.0007582585 0.008334628 0.0063519687 0.00011808944 0.006103359 0.009670903 0.030653533 0.10109699 0.00090120884 0.0040336866 0.018745145 0.010559682 0.0010565897 0.0014481494 0.04282296 0.00439417 0.00031697692 0.00045992728 0.006774605 0.0018210635 0.0008887784 0.00060287764 0.004736008 0.00078933465 0.0010690201 0.008185463 0.015519438 0.020789957 0.040330652 0.031747412 0.0036234811 0.0006090929 0.0016470369 0.006917555 0.0086391745 0.0167687 0.030150099 0.038652536 0.0024425867 0.035942696 0.019913608 0.019901177 0.02578079 0.029261319 0.019341806 0.0023617886 0.0058920416 0.010360794 0.0002237484 0.00086391746 0.012890395 0.00997545 0.011000963 0.011218497 0.009061811 0.00025482458 0.012790951 0.009366357 0.020050343 0.004673856 0.0016656825 0.0016097454 0.0038907363 0.0021193947 0.0002983312 0.00030454644 0.0007831194 0.00031076168 0.0001491656 0.010068678 5.621519 2.0 20.0 0.0 3.0 5121616.0 5124096.0 1.0 59.0 291.0 1.0 1.0 1.0 1.0 0.0 1541450800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 10.0 0.0 10.0 0.0 3356672.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1463296.0 0.0 0.0 0.0 0.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3356672.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.431485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.569382 0.0 0.0 0.0 0.0 6.363103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6152306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.291474 0.0 -0.6019737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1463260.0 0.0 0.0 0.0 0.0 183780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3356243.0 0.0 2116.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -2.0 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 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 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 1.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 -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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 2.0 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 -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 -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 2.0 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 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 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 2.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 2.0 -1.0 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 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 5957.0 3612672.0 820.0 3668572.0 2212.0 5091328.0 183780.0 4902912.0 15952.0 5105664.0 27028.0 5095424.0 84.0 3686508.0 0.0 0.0 0.0 0.0 40.0 3665768.0 256.0 3585408.0 0.0 0.0 2952.0 3362864.0 128.0 3667976.0 0.0 0.0


Input: 0.008181778 0.0047429106 0.0046192617 0.0045058834 0.005144276 0.004263721 0.0046824687 0.004159429 0.005467818 0.004396851 0.0044173934 0.0040101022 0.0048736706 0.003982449 0.0044335905 0.004281893 0.0054595224 0.00460583 0.0043142866 0.004001806 0.004719603 0.004055532 0.0041823415 0.0039970656 0.0051644235 0.0040148427 0.003982449 0.0038054688 0.004493242 0.0038497138 0.004025904 0.0039109457 0.0048227096 0.004578967 0.004369198 0.004001806 0.004327718 0.004157059 0.0039267475 0.003834702 0.0041973535 0.004454923 0.0038038886 0.0039457097 0.004256215 0.0036727337 0.0038884282 0.0036087364 0.004325348 0.0043976414 0.0038102092 0.0036466606 0.0041139987 0.0037272498 0.00377189 0.0034929882 0.004449787 0.004289004 0.0037051274 0.0038560345 0.0041100485 0.0036833999 0.0037533229 0.0035850336 0.004316262 0.0040061516 0.004225007 0.0041819466 0.0041278256 0.0040831855 0.0039962754 0.003896329 0.0044687493 0.0039998307 0.004194193 0.0037951977 0.0040310393 0.0038718362 0.0037406813 0.0036257233 0.0042246114 0.0038631454 0.0044612433 0.004117159 0.0038220608 0.0038994895 0.0040322244 0.003955191 0.0043921107 0.003735941 0.0038983044 0.003561331 0.0039883745 0.0036893254 0.0034763962 0.0036300689 0.0041108388 0.0039093657 0.0040393355 0.0040665935 0.003739101 0.003596885 0.003632439 0.0038706511 0.003973363 0.0037612238 0.0036952512 0.0038248259 0.003834702 0.0036901156 0.003412794 0.0035281472 0.0042151306 0.0037256696 0.0038647256 0.003869466 0.004195773 0.004401987 0.0036197975 0.0036442904 0.0041440222 0.0036359944 0.0034191147 0.0037707048 0.0039062053 0.0038390476 0.0035222215 0.0035194561 0.0043605072 0.0040689637 0.004042496 0.004234093 0.0043451004 0.0038489238 0.0039871894 0.0038900084 0.0043348293 0.004107283 0.0038398376 0.0043490506 0.0042419937 0.003965857 0.0037363358 0.0036340193 0.0041527133 0.0036648328 0.003868676 0.0035672565 0.004137702 0.003475211 0.003622168 0.003536838 0.0037375211 0.0033705242 0.0034854822 0.00342267 0.0042356728 0.0034202999 0.0037766304 0.0035131355 0.0036952512 0.0036442904 0.0034882475 0.003569627 0.0039263526 0.0038248259 0.0035024693 0.0034341265 0.0034933833 0.0034665202 0.0034507182 0.0033460313 0.003949265 0.0036549566 0.003762804 0.003404103 0.003977313 0.003780976 0.0033006012 0.0037142134 0.003693671 0.0036790543 0.0035305175 0.003466915 0.0038295665 0.0035305175 0.003482322 0.003517876 0.0037035472 0.0036261184 0.0035905642 0.0034985188 0.004191823 0.004150738 0.003728435 0.003895144 0.0041207145 0.0036999919 0.004126245 0.0038994895 0.0037477922 0.003656932 0.0033894863 0.0034202999 0.0034408423 0.0033930417 0.0040290644 0.0038141597 0.0037920373 0.0036624626 0.0036130818 0.0035210364 0.0034317563 0.0032342337 0.003859195 0.0038667007 0.0037608286 0.0035159008 0.0034436076 0.0036916959 0.003474421 0.0034910128 0.0037055223 0.0037580633 0.0043873703 0.003726855 0.0035830585 0.0037497673 0.0038303565 0.0033879061 0.0031619405 0.004028274 0.0036336242 0.0033049467 0.0030552782 0.004716838 0.0036549566 0.0034594093 0.0032057904 0.0042060446 0.0043016453 0.0036300689 0.003123226 0.0034815317 0.003395017 0.0033906715 0.00346494 0.0040421006 0.0038354923 0.0033061318 0.003326279 0.0036770792 0.0034519034 0.0033574877 0.0033547224 0.0071368837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00066810154 2.8455079e-05 8.8922125e-06 6.125746e-06 7.1137697e-06 7.706584e-06 7.706584e-06 6.916165e-06 2.2724542e-05 3.952094e-06 4.5449083e-06 4.7425133e-06 5.532932e-06 4.149699e-06 1.9365261e-05 3.35928e-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 0.0004647663 6.0071834e-05 4.5449084e-05 2.8257475e-05 2.6479032e-05 1.7389215e-05 1.0868259e-05 1.4029934e-05 3.0826337e-05 5.9281415e-06 4.940118e-06 7.904188e-06 1.4029934e-05 1.047305e-05 1.8377239e-05 4.9598784e-05 0.00033276633 2.3514962e-05 3.4580826e-05 3.932334e-05 3.9520943e-05 2.2329334e-05 0.00017547299 9.899996e-05 3.7544896e-06 2.3712566e-06 3.35928e-06 2.3712566e-06 2.1736519e-06 2.3712566e-06 1.9760471e-05 6.71856e-06 0.000418922 0.00021380831 0.00020017357 0.00013101193 8.892212e-05 6.0071834e-05 4.0508967e-05 2.2922148e-05 1.7784425e-05 1.0275445e-05 9.485027e-06 9.089817e-06 8.497002e-06 1.1065864e-05 7.3113742e-06 0.000368928 0.0013729576 0.0004732633 0.00042070044 0.00033652084 0.00026637115 0.00018653885 0.00016025742 0.0001258742 0.00010097601 7.4101765e-05 8.042512e-05 7.2323324e-05 8.655086e-05 9.6628704e-05 6.402393e-05 0.0013435144 0.00083982 0.0001885149 0.00018634125 0.00016183827 0.00016855683 0.00013180234 0.00018120352 0.00012389815 8.319158e-05 8.37844e-05 8.220356e-05 6.995207e-05 8.9317335e-05 0.00010374247 7.508979e-05 0.00066829915 0.001359718 0.0012520235 0.0009915804 0.00076077814 0.0006131674 0.00053353276 0.0004608142 0.00043650882 0.00039975432 0.0003015448 0.00032980228 0.00034482023 0.0002809939 0.00030371844 0.000259455 0.0014891492 0.07049331 0.066359416 0.063965835 0.06126912 0.063361555 0.061798107 0.059643622 0.060478505 0.06434839 0.058523007 0.057117444 0.057429858 0.06023624 0.057302404 0.058648683 0.05636161 13290.0 5.7960873 77030.0 0.013267558 0.010943788 0.011930416 0.010009088 0.011943399 0.010320654 0.010203817 0.00995716 0.010826951 0.012008308 0.008983513 0.009554719 0.01102168 0.010048034 0.011359211 0.0090614045 0.011761651 0.0114241205 0.009970142 0.009554719 0.010567311 0.00969752 0.01022978 0.009619629 0.012605478 0.0120862005 0.009840322 0.009437881 0.010061015 0.009204206 0.008477217 0.00803583 0.011800597 0.010411528 0.010658185 0.012099182 0.011398156 0.010788005 0.011281319 0.009554719 0.012527587 0.011372193 0.011670778 0.010723094 0.0113851745 0.011696742 0.010710113 0.0083993245 0.012216019 0.010684149 0.011683759 0.011527976 0.01022978 0.011540958 0.0112164095 0.0107620405 0.01174867 0.010775023 0.0098922495 0.009671557 0.010865896 0.010203817 0.008620018 0.009282098 0.010502402 0.009905232 0.011307283 0.011540958 0.010502402 0.010593276 0.009905232 0.011164482 0.010541348 0.011437102 0.008723874 0.009801376 0.011281319 0.010450474 0.010086979 0.010411528 0.011904453 0.009788394 0.011463067 0.010515383 0.013046864 0.011735687 0.009645592 0.008801766 0.010125925 0.008347397 0.007957938 0.008048812 0.007970921 0.007893029 0.006477996 0.0067116707 6.5731316 0.0 2.0 0.0 21.0 2531357.0 2027520.0 0.0 0.0 18.0 1.0 1.0 0.0 0.0 0.0 1521861400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 692224.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -691200.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9291997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9902973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -692224.0 0.0 0.0 0.0 0.0 0.0 1290240.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1044.0 2023048.0 36488.0 1986560.0 0.0 0.0 0.0 0.0 16.0 2024092.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 1985228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.26541927 0.026166512 0.024882453 0.013325913 0.017836608 0.0173658 0.0072221225 0.011476093 0.015703687 0.005410108 0.007783926 0.0043410105 0.00590861 0.0038301998 0.0035273184 0.011103755 0.009225362 0.0031308027 0.0028393506 0.0025136098 0.0034846775 0.0024081068 0.0016260656 0.0017113473 0.00616973 0.001914001 0.001774649 0.0015003411 0.001639693 0.0013464825 0.0018854272 0.0015372672 0.007886352 0.0014752841 0.0010563491 0.001065141 0.036269747 0.0017122264 0.0008132526 0.0008347928 0.0055353926 0.001561445 0.0018542159 0.0007244542 0.0011614126 0.0008167694 0.0036411737 0.0015170458 0.0038086597 0.0020287356 0.0010220606 0.00091743685 0.0013614288 0.0008167694 0.0012673553 0.0006273035 0.003654801 0.0021650102 0.0009420542 0.0017917933 0.00083786994 0.0019742255 0.000657196 0.0009073261 0.005106347 0.0015983711 0.001160973 0.0011592146 0.012536398 0.0014075864 0.0010541512 0.0012396607 0.057140008 0.0018093771 0.00095040654 0.00069016573 0.0068634124 0.0011930636 0.0006585148 0.0017865181 0.0039044917 0.002055551 0.001440556 0.0014045092 0.00692012 0.001408026 0.0013152712 0.0012928519 0.0017878369 0.0005732332 0.00059872976 0.00072269584 0.0018423469 0.0006870885 0.0004492671 0.00089721545 0.002259963 0.0048021465 0.0015807872 0.0033369733 0.0023434863 0.008295616 0.0020428025 0.0015104518 0.002770334 0.0043748594 0.0005618037 0.0009583193 0.005825526 0.0026024082 0.0051604174 0.003622271 0.0034561036 0.0005842231 0.004737526 0.0033989563 0.007394444 0.004229793 0.0011337181 0.0009917285 0.0017504713 0.0014568211 0.00061895116 0.0005481762 0.0019034507 0.0006127968 0.0004914683 0.00078643725 0.003954166 0.0013504389 0.00053366955 0.00563606 0.0054892353 0.0028314379 0.0010352485 0.0007262126 0.0018106959 0.020087339 0.00045674024 0.021125225 0.0016651896 0.0072309147 0.00047564285 0.00060664245 0.0018744373 0.0006277431 0.00048751195 0.0003820089 0.0016203509 0.00039168002 0.00045542145 0.000371019 0.0012594425 0.00070511195 0.0008994134 0.00043036448 0.00085237663 0.00037541497 0.00039168002 0.00054246146 0.0020089536 0.00039827396 0.00043959598 0.0004272873 0.0005042166 0.00041058267 0.00044267316 0.00041585782 0.00091567845 0.00044750873 0.0006259847 0.00043871682 0.00089501747 0.00033409297 0.00035343517 0.0005600453 0.0012357043 0.0005200421 0.00042684772 0.00035607276 0.0007547863 0.00036530427 0.0013605496 0.0005732332 0.0010378861 0.000545099 0.0005763103 0.00046773013 0.0008202861 0.00036970022 0.00043959598 0.0005398239 0.0034983049 0.0015583677 0.0013425262 0.0023738183 0.0020634637 0.0004391564 0.0012392211 0.0032868593 0.0013139524 0.0010317318 0.0006435685 0.00055213255 0.008738729 0.0003951968 0.00047915964 0.00057894795 0.001470009 0.00074995076 0.0021896276 0.00066510873 0.0004725657 0.00038684448 0.00062246795 0.00061147806 0.0010189835 0.0008765544 0.00065323967 0.0009438126 0.00046729055 0.0004391564 0.00056619965 0.00060620287 0.0015443007 0.00067346107 0.0005437802 0.00045717982 0.00045630065 0.00037629416 0.00049586425 0.0004162974 0.009141838 0.0032833426 0.0004620154 0.0020542322 0.0013315362 0.00034552245 0.0005130085 0.00046860933 0.0020493965 0.000682253 0.0011306409 0.00076269906 0.00051740446 0.0006141156 0.0011741609 0.0010374465 0.001712666 0.0012844995 0.0013697811 0.001119651 0.0008945778 0.0011262449 0.0022032552 0.02228224 0.0022436744 4.1789835e-06 1.7595721e-06 2.1994651e-07 1.3196791e-06 0.0 0.0 0.0 8.7978606e-07 0.0 2.1994651e-07 0.0 0.0 0.0 0.0 0.0 0.0063989037 0.000176837 5.2567215e-05 8.577914e-06 5.938556e-05 1.45164695e-05 1.4736416e-05 1.5396256e-06 1.07773785e-05 5.2787163e-06 4.3989303e-06 1.7595721e-06 1.9795186e-06 2.4194117e-06 6.5983954e-07 2.4194117e-06 0.01110312 0.00091585726 4.8828126e-05 1.3636683e-05 6.708368e-05 1.4736416e-05 0.00024480047 4.288957e-05 3.9370425e-05 1.385663e-05 2.199465e-05 4.0470157e-05 1.5836149e-05 6.5983954e-06 1.89154e-05 4.6188766e-06 0.00431689 0.0002175271 7.742117e-05 6.246481e-05 7.23624e-05 4.618877e-05 3.7610855e-05 1.4956363e-05 1.7815668e-05 1.1877111e-05 1.4296523e-05 1.1657165e-05 1.0557433e-05 1.2317005e-05 1.2317005e-05 1.8695453e-05 0.00670133 0.00025601772 0.00020564998 0.00010623416 0.00012492962 0.0002241255 0.00011877112 5.6526253e-05 4.5528926e-05 2.5513795e-05 2.4414063e-05 3.585128e-05 2.265449e-05 2.6613528e-05 4.904807e-05 8.489935e-05 0.022146193 0.00073968014 0.00049202034 0.00032530088 0.00053271046 0.0012341199 0.0003593926 0.00021224839 0.000283731 0.00028769003 0.0002573374 0.00016342025 0.00035433384 0.0001348272 0.00015814154 0.00024678 0.051466383 0.0017054653 0.0011714351 0.0009959178 0.0016095686 0.0033480257 0.0013812641 0.00067611557 0.0008872642 0.00086570944 0.00064246374 0.0004473712 0.0010385874 0.00043747362 0.00044561163 0.0013498117 0.035909347 0.0020960902 0.0026367188 0.0017402167 0.0024579023 0.0018356736 0.008791922 0.0043850737 0.0007170256 0.0008072037 0.0005538253 0.0005296312 0.0006061726 0.000600234 0.0005630631 0.0010852161 0.12445189 0.012316565 0.009064876 0.004263223 0.004999824 0.0059013846 0.016256247 0.009563054 0.002299321 0.002191987 0.001801142 0.0015970316 0.0017219612 0.0030561567 0.0018372132 0.0036330763 0.06526825 0.0066023543 0.0060252147 0.0029006545 0.0032965583 0.003803755 0.013357132 0.007709125 0.0016592764 0.0011672562 0.001229061 0.0010495847 0.0010702597 0.0018352336 0.0010027362 0.0022938221 0.005896106 0.0006451031 0.0008122625 0.0005773596 0.00043681377 0.00041569892 0.0012191635 0.0009074993 0.00031518334 0.0004753044 0.0006895323 0.00034113703 0.0002780124 0.00019399282 0.0009470897 0.0020659575 0.003432705 0.00049202034 0.00053974875 0.00029208895 0.0005085163 0.00025051908 0.00041789838 0.00029626794 0.00029384854 0.0001829955 0.0002643757 0.00014296523 0.0002553579 0.00020037127 0.00028681025 0.00070206926 0.0384924 0.0066034542 0.015330711 0.003860281 0.024970748 0.002923749 0.0023360518 0.0027486715 0.023005305 0.0019713806 0.0014014991 0.0017659505 0.006282112 0.001566239 0.0049868473 0.008150998 0.0628077 0.011859296 0.031312026 0.009556676 0.056931615 0.0072516366 0.0074128574 0.007413737 0.04522848 0.0036491326 0.0027016029 0.0042372695 0.017689638 0.004601501 0.012157544 0.02014424 0.00039040504 0.00010315491 0.00018563485 9.347727e-05 0.00034113703 5.0587696e-05 0.00010095545 7.324219e-05 0.00026041668 1.8475506e-05 1.7595721e-05 2.9912726e-05 0.00020608988 7.302224e-05 0.00011173283 0.00019641223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6990.0 23.839485 166638.0 0.03365379 0.0005760991 0.0004500774 0.0002640454 0.0047828224 0.0003540609 0.00021603715 0.0004080702 0.007249247 0.0071172244 0.013724361 0.00043807534 0.0007861352 0.0015962746 0.03970283 0.00901355 0.003582616 0.004644799 0.004806827 0.0039846855 0.0034625956 0.0019863416 0.0040506967 0.001482255 0.00337258 0.0043507484 0.0043447474 0.0032285552 0.0012602168 0.0014342467 0.00037806501 0.00028804954 0.0009901703 0.002784479 0.003174546 0.0055389525 0.0029165016 0.0034986017 0.005274907 0.0029465067 0.0063010836 0.0030065172 0.00034805987 0.00071412284 0.0035286068 0.0028924975 0.0021903766 0.0015362642 0.0032285552 0.0004080702 0.0027064655 0.007651316 0.007249247 0.0023884107 0.0014462487 0.0022923944 0.00051008776 0.000120020646 0.00033005676 0.0039906865 0.000750129 0.003924675 3.0005162e-05 0.002820485 0.0004680805 0.04720412 0.0070452117 0.038514625 0.023308009 0.094426244 0.018651208 0.014876558 0.01000372 0.05370924 0.0018903251 0.007513292 0.034541942 0.029165016 0.063922994 0.04087903 0.022917941 0.0017763055 0.057063814 0.037752494 0.07225243 0.03442192 0.0043687513 0.0051308824 0.0060190354 0.013364298 0.0012122085 0.0011341951 0.0005821001 0.001128194 7.2012386e-05 0.0002040351 5.2321987 1.0 1.0 0.0 5.0 2274816.0 2428928.0 0.0 0.0 33.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 4.0 0.0 4.0 0.0 1039360.0 1536.0 4096.0 5.0 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 1141760.0 0.0 0.0 0.0 0.0 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 -90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1039360.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.172144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 -4.1316905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8772917 -4.3204684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1141270.0 0.0 0.0 0.0 0.0 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 -229432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1039341.0 -1046.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1046.0 2420736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 288.0 2187264.0 0.0 0.0 0.0 0.0


Input: 0.056618743 0.008296317 0.0061684465 0.0056677707 0.005754665 0.004961239 0.004199881 0.005421571 0.005038823 0.0056191515 0.003751963 0.004470908 0.0049560666 0.0031695655 0.0043219468 0.004645731 0.00503572 0.003772652 0.004933309 0.0041574687 0.0043467735 0.0031706 0.004105746 0.0038533392 0.0050781323 0.0033609394 0.0031581866 0.0029388824 0.0041574687 0.0034405924 0.0037954098 0.0037954098 0.0061643086 0.0038098923 0.0034892117 0.0030278454 0.0049012406 0.0041667786 0.0038533392 0.0037240325 0.0047264183 0.0038978208 0.0033288714 0.0030919816 0.004366428 0.0037292049 0.0037302393 0.0035885193 0.005519844 0.003948509 0.0031085329 0.002910952 0.0036774823 0.003072327 0.00268751 0.0028623329 0.0041636755 0.0033154234 0.0035274865 0.0033526637 0.0040043695 0.0032305983 0.0035026595 0.003467488 0.0065956754 0.0039454056 0.0036247252 0.0032212883 0.0041574687 0.0032264604 0.0035481756 0.0030681891 0.0049943416 0.0037809275 0.0037105847 0.0035864504 0.0041254004 0.003125084 0.003556451 0.0034664536 0.0051743365 0.003636104 0.0036516208 0.0033402503 0.003922648 0.0033733528 0.0033630084 0.0035357622 0.004648834 0.0036423109 0.003806789 0.0035099008 0.0041129873 0.0033888698 0.00369093 0.003779893 0.0059119016 0.0036278286 0.0033381814 0.0029575026 0.0040023006 0.003049569 0.0032647352 0.0030319833 0.004976756 0.0031695655 0.0031985303 0.0030485345 0.0035802436 0.0028323338 0.003083706 0.003193358 0.0045019416 0.0032885277 0.0032305983 0.0031426698 0.0038978208 0.0033330093 0.0032812865 0.0036195528 0.0046209036 0.0032895622 0.0034830049 0.0031726689 0.004037472 0.0031964614 0.0034633502 0.0033381814 0.008629411 0.004598146 0.0040085074 0.0035254175 0.0043602213 0.00343542 0.0030216386 0.0033816285 0.0045381477 0.0038419603 0.0029637094 0.0031923235 0.0037312738 0.0028002656 0.0028457816 0.0029823296 0.0052229557 0.0032037026 0.003492315 0.003026811 0.0036567932 0.0031830135 0.0033061134 0.0032637008 0.004541251 0.0028406093 0.0030392243 0.0027092337 0.0035119697 0.0032285294 0.0029843983 0.0031468077 0.0050098584 0.0034095587 0.0032699076 0.0028013 0.0037757554 0.0030092252 0.0030619823 0.0031809446 0.004130573 0.0030071563 0.0031230152 0.0030164665 0.0036505864 0.0028364714 0.0029181933 0.0030278454 0.0046664197 0.0031116363 0.0038429948 0.0028499195 0.0035574855 0.0031550832 0.0029854327 0.0031199118 0.004251604 0.0031530142 0.0033361125 0.0031861167 0.0036505864 0.003195427 0.0033309404 0.0033474916 0.0067208447 0.004071609 0.0037209294 0.0033340435 0.0041181594 0.0032574942 0.0033061134 0.0032264604 0.0043302225 0.0033288714 0.0031126705 0.0030764646 0.0036464487 0.0029823296 0.0030857748 0.002803369 0.0042505693 0.0032792175 0.0030899127 0.0030009497 0.0037085158 0.0030299143 0.0029368135 0.0029492269 0.0039816117 0.0031074984 0.0027237162 0.0026409598 0.0035316243 0.0029430203 0.0035823125 0.0028902632 0.0049529634 0.0032347362 0.0034043866 0.0029668126 0.0038088579 0.003074396 0.0031985303 0.00291509 0.0044460814 0.005449501 0.0034778328 0.003129222 0.0037923066 0.003093016 0.0032512874 0.0032047369 0.0046105594 0.003323699 0.0034250757 0.0030464656 0.0037447216 0.0030919816 0.0033081823 0.0032419772 0.0043509114 0.0030412932 0.003191289 0.0028612984 0.004005404 0.0030909472 0.0042195357 0.0045102173 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09914646 0.062041752 0.06247359 0.055348724 0.060601242 0.059566688 0.05493863 0.054467436 0.06046351 0.053140327 0.05214357 0.052964795 0.056442827 0.050578274 0.05670483 0.053834174 4031.0 5.702803 22988.0 0.017182877 0.010396728 0.009309205 0.008787193 0.0134417955 0.012571776 0.011788759 0.011571255 0.012571776 0.009787715 0.008439186 0.008569689 0.013876805 0.010570733 0.011875762 0.010135723 0.016747868 0.011919262 0.008700191 0.0075691664 0.009831216 0.008482686 0.007830172 0.008352184 0.010396728 0.008395685 0.009700714 0.0088306945 0.011614756 0.008961197 0.0096572125 0.009178702 0.018009396 0.010875239 0.010353228 0.009135201 0.010962241 0.008787193 0.010657734 0.008265181 0.014181312 0.011571255 0.009744215 0.008917696 0.011440752 0.009309205 0.011658257 0.00952671 0.014790325 0.009613711 0.009961719 0.009048199 0.012006264 0.009352705 0.00957021 0.009744215 0.0136593 0.009222203 0.010483731 0.00957021 0.011136245 0.009787715 0.010396728 0.010701235 0.017922394 0.010962241 0.0096572125 0.008221681 0.013093788 0.008221681 0.009352705 0.008308683 0.015399339 0.009265704 0.008874196 0.008700191 0.01135375 0.008004176 0.009874717 0.007873673 0.013311293 0.008047677 0.008787193 0.0088306945 0.011614756 0.009483209 0.00817818 0.007830172 0.010875239 0.008874196 0.011919262 0.00861319 0.01135375 0.009004698 0.0099182185 0.008787193 6.554551 0.0 0.0 0.0 14.0 966694.0 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