Input: 0.27570808 0.013885733 0.009157467 0.0053715114 0.006305469 0.0045361286 0.010201694 0.00477839 0.009023805 0.004571215 0.007284538 0.0020266387 0.0018228053 0.004212 0.0019948941 0.0032379439 0.0049070385 0.0040432527 0.0032830543 0.0028553384 0.0019197097 0.0017977438 0.0018345007 0.0016189719 0.0027885078 0.0021536169 0.0014702737 0.0017091932 0.0014535661 0.0015872273 0.0012731234 0.0017058516 0.0064190817 0.001817793 0.0015103722 0.0015738612 0.003157747 0.0015003475 0.0018044269 0.0013082095 0.005610431 0.0014819691 0.0021836907 0.0022137645 0.0021736661 0.0015822151 0.0019715035 0.0010893391 0.0038327363 0.0017459501 0.0014084554 0.0024259517 0.0014686029 0.0011344498 0.0011812312 0.0011227545 0.0022839366 0.0036155367 0.0014285046 0.0013332709 0.0013984308 0.0013566617 0.0009222626 0.0012514035 0.0030975994 0.0040332284 0.002337401 0.0022722413 0.0055151973 0.0024576962 0.0013934185 0.0012647696 0.022224525 0.0025495882 0.0012196589 0.0014351876 0.0030558303 0.0029672796 0.0018345007 0.0015053598 0.0027768125 0.0014869814 0.0016340087 0.0026097358 0.0017760239 0.0020082602 0.0026765666 0.0016624117 0.001547129 0.0013299295 0.0010893391 0.0015304213 0.0010709608 0.0021870323 0.0027032988 0.0028887538 0.0023958778 0.0036539645 0.0015521413 0.0030558303 0.002721677 0.008111567 0.0016373503 0.0023925363 0.002273912 0.0050022723 0.0021268846 0.0015421166 0.0032462976 0.0023992194 0.0047232546 0.0085242465 0.003834407 0.0012998556 0.004761682 0.0040449235 0.0074315653 0.0029355353 0.002031651 0.0042220247 0.00279352 0.0022471799 0.0014435415 0.0037090997 0.0016122888 0.0015320921 0.0015588243 0.001839513 0.006101636 0.0023825117 0.001732584 0.004083351 0.0024543547 0.002280595 0.0014836398 0.002131897 0.007241098 0.0035336693 0.0011745482 0.018311592 0.0014234923 0.0038444316 0.0014569076 0.0022973027 0.0030057074 0.0019481127 0.00248777 0.0019364173 0.0020166142 0.0015053598 0.0014168093 0.0016173011 0.0016239842 0.0021569584 0.001368357 0.0012313543 0.0012363666 0.0012931726 0.0014218215 0.0010743022 0.0049254172 0.0015855565 0.002280595 0.0017375962 0.0014619199 0.001603935 0.001254745 0.0013299295 0.0020550417 0.0016624117 0.0016640825 0.0013817232 0.0013449664 0.0016390211 0.0012447204 0.0012981849 0.0017910608 0.001497006 0.0017559746 0.0017292424 0.0012012805 0.0013316002 0.001525409 0.0026281143 0.0018294883 0.0016022642 0.0020684078 0.0014752861 0.001261428 0.0013082095 0.0012447204 0.0015137136 0.0035821216 0.0016690949 0.0016139596 0.0023056564 0.002559613 0.0014084554 0.0015371044 0.0017593162 0.0021135185 0.001903002 0.0013098803 0.0019564666 0.008230192 0.0017442793 0.0025612838 0.0023273765 0.0034016788 0.0014251631 0.001796073 0.0016941563 0.0016707656 0.0014435415 0.0017225593 0.0018328299 0.002208752 0.0017810361 0.0011461452 0.0015855565 0.0018979898 0.0055335755 0.0015187259 0.0013516494 0.002337401 0.0011962681 0.001346637 0.0011862436 0.0011160715 0.0011361206 0.00093897025 0.0009874224 0.010560909 0.001632338 0.001147816 0.0014869814 0.0018846237 0.0013048679 0.0012664404 0.0016223134 0.0028235938 0.0018512083 0.0015421166 0.0022221182 0.002103494 0.0016089473 0.001632338 0.0018445252 0.0053230594 0.006587829 0.0029555843 0.0017442793 0.002430964 0.0013700278 0.0020082602 0.05807581 0.00853864 1.6750644e-06 0.0 8.375322e-07 8.375322e-07 0.0 0.0 2.5125964e-06 3.0151157e-05 0.0 8.375322e-07 0.0 8.375322e-07 0.0 0.0 0.0 0.0032630253 2.2613369e-05 2.5963496e-05 1.8425708e-05 2.2613369e-05 1.3400515e-05 1.172545e-05 8.375321e-06 1.8425708e-05 0.0 1.2562982e-05 8.375322e-07 8.375322e-07 0.0 2.5125964e-06 9.212854e-06 0.009526091 7.454036e-05 3.5176352e-05 0.00013568021 8.459075e-05 1.591311e-05 2.34509e-05 2.0938303e-05 4.1039075e-05 3.433882e-05 7.5377895e-05 2.1775837e-05 2.5963496e-05 2.0100772e-05 1.7588176e-05 0.00013903034 0.0015000202 2.0100772e-05 1.5075579e-05 4.1876606e-06 4.4389206e-05 2.5125964e-06 4.1876606e-06 1.2562982e-05 1.5075579e-05 2.5125964e-06 4.69018e-05 5.025193e-06 6.7002575e-06 4.1876606e-06 1.6750644e-06 3.0151157e-05 0.012727139 0.00044137944 0.00022529616 8.0403086e-05 0.00014489307 7.202777e-05 4.271414e-05 9.715373e-05 0.0001876072 7.119023e-05 0.00011306684 6.197738e-05 7.5377895e-05 2.5963496e-05 4.7739333e-05 0.0010234643 0.013783267 0.00039782777 0.00042044115 0.00019682005 0.00019430746 0.00013065501 0.00012395476 0.00015075579 0.00025209718 0.00014405554 0.00023115888 0.00010217892 9.966633e-05 0.00010804165 0.00013065501 0.00068677636 0.010911369 0.0004924689 0.00037270182 0.00015075579 0.0001381928 0.00014238046 0.0002479095 0.00021859589 0.0003283126 0.0001876072 0.00015996864 0.0002604725 0.000143218 0.00015243085 0.00014405554 0.0013869533 0.012162642 0.00082413165 0.0007102273 0.0008124062 0.003177597 0.0022370485 0.015263186 0.007438123 0.00036348894 0.00013149255 0.0002579599 0.00013986787 0.00012479229 0.00015410592 0.00017253163 0.0006273116 0.060811535 0.0040955325 0.0049975542 0.0024305184 0.0027119291 0.0017596551 0.00949594 0.0072153397 0.0032797758 0.00091877277 0.0009430612 0.0011951583 0.0010552906 0.0011708699 0.0010351897 0.0049456274 0.056481495 0.004090507 0.0051047583 0.0023693785 0.0035544864 0.0021759085 0.0036667157 0.0031893225 0.00286101 0.0014497682 0.0027713939 0.0019045481 0.00253856 0.002017615 0.0014740566 0.005551163 0.039640397 0.0024213055 0.0024464314 0.001902873 0.0043292036 0.0018308453 0.004136571 0.0037722448 0.0035477863 0.0021507826 0.0028936737 0.0016591512 0.002938063 0.0022454236 0.0029355502 0.008628257 0.047154736 0.0044498085 0.0032270115 0.0024414062 0.0029489507 0.0031951852 0.005495886 0.0060302317 0.008680183 0.0040955325 0.0056675803 0.004184311 0.003635727 0.0051885117 0.0036147889 0.016919825 0.035605166 0.0036868167 0.0028727353 0.0025569857 0.0037035672 0.0033384033 0.0053015784 0.006492549 0.008048684 0.0050478065 0.004247963 0.0048677367 0.006090534 0.00689959 0.0039179754 0.019105783 0.032034766 0.0068987524 0.007087197 0.0070026065 0.027564859 0.008061247 0.0040787817 0.005506774 0.025120102 0.0043275286 0.0034397447 0.0047680708 0.014228834 0.0068669263 0.010557093 0.027997024 0.010433976 0.0032998768 0.004581301 0.0027630187 0.005662555 0.0030260037 0.0023141014 0.0022596617 0.0045444495 0.003453145 0.0021775835 0.001965688 0.0029732392 0.002146595 0.0024715574 0.004246288 0.009082199 0.005231226 0.0053250296 0.0050762827 0.0049891793 0.005017655 0.0052463016 0.004962378 0.004733732 0.0053576934 0.004887838 0.0046558413 0.0047094435 0.005060369 0.0046751047 0.005037756 2871.0 13.829676 39705.0 0.015237376 0.0036015615 0.0013348445 0.0020148596 0.0037023046 0.0036771188 0.0030978466 0.0013096587 0.0044326913 0.003349704 0.002568946 0.0029215463 0.00556605 0.004608991 0.013776602 0.0022163456 0.009369097 0.008537968 0.004029719 0.0047601056 0.0036267473 0.0037778618 0.0038786046 0.0036771188 0.0030978466 0.0022163456 0.0018385594 0.0016874449 0.0069512655 0.0053897495 0.0013348445 0.0010326155 0.0024933887 0.019695252 0.0034252612 0.016345548 0.011409142 0.008915754 0.005037149 0.004357134 0.0077320235 0.009066869 0.001586702 0.005465307 0.005691978 0.0040800907 0.0067245937 0.0038030476 0.006674222 0.0038534189 0.0057675354 0.01876338 0.008059438 0.00793351 0.013046216 0.0067497795 0.0017378164 0.0013348445 0.0015363304 0.0057675354 0.0021659741 0.008361667 0.00810981 0.021055283 0.0019896738 0.033673342 0.00846241 0.023850901 0.02047601 0.08605969 0.008361667 0.020022668 0.008840197 0.042186122 0.0022919027 0.0041808337 0.021684926 0.01621962 0.04203501 0.044301726 0.013801788 0.00236746 0.035788942 0.03165848 0.059161313 0.015237376 0.008815011 0.028031735 0.0057675354 0.011031357 0.002770432 0.021231582 0.00083112955 0.00083112955 0.0005540864 0.0021156026 5.7866917 0.0 0.0 0.0 3.0 598528.0 606208.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1377135600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 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 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -538624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.443865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.102966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3268325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.382646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -538612.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 61440.0 6060.0 64936.0 0.0 0.0 3756.0 602112.0 56.0 599672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 62464.0


Input: 0.009340201 0.0041183466 0.003868677 0.0040391246 0.004034723 0.0039318944 0.0038710777 0.0038942841 0.0039058875 0.0038746786 0.003921892 0.003828666 0.0039038868 0.0038702774 0.0038386686 0.0038662765 0.0039270935 0.0038530726 0.003821864 0.0038114612 0.003761047 0.0037818528 0.003861475 0.0037870542 0.003868677 0.003846671 0.0037366403 0.0039026865 0.0039014863 0.0038702774 0.003810661 0.0038550734 0.0042219753 0.0038134616 0.003893084 0.0038302664 0.0040427255 0.0039002858 0.0038238645 0.0037886547 0.0038658762 0.0038818808 0.003861875 0.003923092 0.0038778796 0.003836668 0.0038754789 0.003912289 0.0039462987 0.0039462987 0.0038118612 0.0040887385 0.0038694772 0.0038198635 0.0037794523 0.0038878825 0.0037770516 0.0038138619 0.0039062877 0.0038678767 0.0038942841 0.0038694772 0.0037506442 0.003825465 0.0043876213 0.003836668 0.003785454 0.003966304 0.003836268 0.0040963404 0.0038662765 0.003825465 0.0038558734 0.003868677 0.0038994856 0.0038302664 0.003929894 0.0039851093 0.0037942564 0.0037682492 0.003904287 0.0037998578 0.003825065 0.0039699054 0.0037862542 0.004026721 0.0038658762 0.0039306944 0.003939497 0.003933495 0.0038706777 0.0039771073 0.003760647 0.0038594746 0.0038970849 0.0038694772 0.0037922557 0.003959502 0.0038162624 0.00391629 0.004009116 0.0039895107 0.003997913 0.003778652 0.0038882825 0.0039699054 0.003911889 0.003818663 0.0039635035 0.0038354679 0.0039667045 0.003922692 0.0038778796 0.0038226643 0.00391549 0.0039643035 0.004177163 0.004065532 0.0038442702 0.0038130616 0.0038962846 0.0038386686 0.0037938561 0.0038122614 0.0037794523 0.0038802803 0.0038746786 0.0038690772 0.0039891107 0.003929894 0.003836668 0.003918291 0.0038626753 0.0038878825 0.003782253 0.0038134616 0.0038374683 0.00405753 0.003839869 0.0046701003 0.0038098607 0.0039863097 0.0038854817 0.0039671045 0.003875879 0.0038102607 0.0037774516 0.003836668 0.00377145 0.003883081 0.0038178628 0.0038014583 0.003825465 0.0038726781 0.0037906554 0.0038994856 0.0037958568 0.0038086604 0.0038626753 0.0038630755 0.0037550454 0.00384307 0.0037702497 0.0038226643 0.0038098607 0.003828666 0.0038574738 0.0038558734 0.0037234365 0.003746243 0.0037518444 0.00380706 0.003846671 0.0038486714 0.0037922557 0.0039282935 0.0038810805 0.0038354679 0.0037722501 0.0038298662 0.0038722781 0.003796657 0.003815062 0.0038314667 0.003847071 0.0038806803 0.003890283 0.003875879 0.0038590743 0.0038134616 0.0038558734 0.0038586743 0.00405873 0.0038806803 0.003909088 0.004081536 0.0040175184 0.0038906832 0.0038842815 0.0039515 0.0038422698 0.0038890827 0.0038242647 0.0037842535 0.003948699 0.0039166906 0.0038782798 0.0038278657 0.003897485 0.0038630755 0.0038838813 0.0038782798 0.0038414695 0.0038474712 0.003800258 0.003847071 0.0038982853 0.0038870822 0.0038786798 0.003882681 0.0038358679 0.0038790798 0.0038634755 0.003840269 0.0038490717 0.0038378686 0.0038046592 0.003767849 0.0038022585 0.0038670767 0.0038342674 0.003850272 0.0042087715 0.0038550734 0.0038774796 0.0039811083 0.003919491 0.0038442702 0.0038478712 0.0038786798 0.0039410973 0.0037862542 0.0039234925 0.0038346676 0.0038778796 0.0038310667 0.0037942564 0.0038314667 0.003948699 0.0038238645 0.0038166626 0.0038726781 0.0039859097 0.0038606748 0.003868277 0.0054783253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009803663 2.3423087e-05 6.766669e-05 1.7817561e-05 5.685604e-05 1.641618e-05 0.00026025652 0.0001495474 2.082052e-05 5.805722e-06 3.0029598e-06 9.809668e-06 8.20809e-06 3.0029598e-06 4.204144e-06 1.28126285e-05 0.00033513032 2.2021704e-06 7.3672614e-05 1.1411247e-05 5.445367e-05 2.6225849e-05 0.00020660362 0.000100699246 8.007893e-07 8.007893e-07 6.0059193e-07 8.007893e-07 6.0059193e-07 4.0039463e-06 1.0009866e-06 1.0009866e-06 0.0007675565 9.008879e-06 0.00015435214 4.5244593e-05 5.7857025e-05 3.3833345e-05 0.00025665294 0.00013092904 1.28126285e-05 8.20809e-06 6.0059197e-06 6.6065113e-06 1.1811641e-05 4.5044395e-05 3.7637095e-05 5.6455643e-05 0.00042361752 1.6015785e-05 2.3623283e-05 3.0029598e-05 3.443394e-05 1.4414207e-05 5.2451698e-05 2.8027624e-05 3.803749e-05 2.4624269e-05 4.8047355e-06 5.4053276e-06 4.2041436e-05 1.2212036e-05 1.8017758e-05 5.22515e-05 0.00070249237 1.0009866e-05 4.4844197e-05 7.227123e-05 7.307202e-05 1.7417166e-05 0.00010350201 7.0269256e-05 6.626531e-05 7.287182e-05 9.809668e-06 2.6225849e-05 9.8697274e-05 2.4824467e-05 6.846748e-05 0.00017897639 5.685604e-05 6.806709e-06 7.1270246e-05 4.784716e-05 1.0610458e-05 8.408288e-06 9.8296885e-05 5.9858998e-05 6.2061167e-06 6.0059197e-06 8.808682e-06 4.204144e-06 7.607498e-06 5.6055246e-06 5.4053276e-06 6.2061167e-06 0.0009078948 0.00010109964 0.00012912726 0.00013233043 0.00031110662 0.0002826786 0.00011150991 0.0001863837 0.0005561481 4.6445777e-05 5.0449722e-05 7.8076955e-05 0.00032211747 0.00012472292 0.00023162829 0.0005283207 0.0023523185 0.00034433938 0.0005002931 0.0004982911 0.0007987873 0.0008556433 0.0006416324 0.00065324386 0.0013931731 0.0001571549 0.0001715691 0.00031451 0.0009833692 0.00043042423 0.00070409395 0.0015012797 0.06136388 0.060891215 0.061288204 0.060996518 0.061149668 0.060969893 0.06079712 0.06085558 0.060996518 0.060999323 0.06075528 0.061092414 0.06113145 0.06120072 0.0609803 0.061161682 11703.0 5.9669313 69831.0 0.016797697 0.009308187 0.010897739 0.009408429 0.010009881 0.009551632 0.008721055 0.009164984 0.00996692 0.009408429 0.009766436 0.009766436 0.00946571 0.010167404 0.010239006 0.010224685 0.011040942 0.009651874 0.009437069 0.009408429 0.009623233 0.009580272 0.009522991 0.008907218 0.009422749 0.009422749 0.009866678 0.009580272 0.010038521 0.009537311 0.010052842 0.009336827 0.010811817 0.010124443 0.009895319 0.010997981 0.010067162 0.010840458 0.010239006 0.010095803 0.009537311 0.009880998 0.010081482 0.009394108 0.010253326 0.010296287 0.009236585 0.009565952 0.010124443 0.009623233 0.009666194 0.011069582 0.010095803 0.010725895 0.009394108 0.009508671 0.009594592 0.010367888 0.009780756 0.010153084 0.010110123 0.009923959 0.010525411 0.01045381 0.010382208 0.013360828 0.0099526 0.0121292835 0.011771277 0.016640173 0.010682935 0.010067162 0.009823717 0.013074422 0.009322507 0.009365468 0.013188985 0.010768856 0.012931219 0.013217625 0.01095502 0.009594592 0.013346508 0.013804757 0.014363249 0.011470551 0.010339248 0.010539732 0.010196045 0.010682935 0.010024201 0.009838037 0.008878578 0.009666194 0.010138764 0.009752116 6.5722566 0.0 9.0 0.0 48.0 2499304.0 81920.0 0.0 0.0 8.0 0.0 1.0 1.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1205583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6202145 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.542401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3724.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 0.0 0.0 3056.0 2496248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20170857 0.0056598433 0.0031129138 0.0036435241 0.0041269693 0.0024938686 0.003773229 0.0017863881 0.002576408 0.0015682483 0.0014444392 0.0012380908 0.0017804924 0.0017745967 0.0010789076 0.0014739175 0.0017451184 0.0009668899 0.00074285443 0.0014385435 0.0015387699 0.0021401283 0.0011319687 0.0009727856 0.0013618998 0.0011142817 0.0009197246 0.0010140553 0.0008666635 0.0014385435 0.0008371852 0.001073012 0.0034194887 0.0007605415 0.0010671163 0.0007900198 0.002629469 0.0014208566 0.0009197246 0.00073106313 0.0012675691 0.00080770685 0.0009550986 0.0013383172 0.0009963682 0.0013088388 0.0020752759 0.0012852561 0.0059074615 0.002912461 0.0024702859 0.002930148 0.0016272049 0.00114376 0.0009492029 0.0009904726 0.0013501085 0.0012793604 0.0010848034 0.0013618998 0.0014857089 0.0013795869 0.0012321951 0.0011024904 0.007634893 0.00114376 0.00074285443 0.0016861617 0.0017097443 0.0022226677 0.0012262994 0.0012380908 0.0014149608 0.0013913781 0.0009668899 0.0009727856 0.0010081596 0.0011319687 0.0011968211 0.0008312895 0.0023877465 0.0008489765 0.0009963682 0.0021755022 0.0015623526 0.0025823035 0.0016272049 0.001574144 0.00094330724 0.0009138289 0.00073106313 0.0012321951 0.0008843505 0.0013442128 0.001161447 0.0015859352 0.0017981795 0.003596359 0.0009668899 0.0028004434 0.0024054334 0.0047872844 0.0018040751 0.0014090652 0.0019809452 0.003360532 0.0016566833 0.00086076785 0.0024938686 0.0024113292 0.0029065653 0.0033133666 0.0021696067 0.0009197246 0.0036199414 0.003024479 0.0057129045 0.0026589474 0.001019951 0.0013265258 0.0011201773 0.0015328743 0.0007959155 0.00080181117 0.00086076785 0.00076643715 0.00080181117 0.0015623526 0.0020340062 0.0012616734 0.0018394492 0.0027061126 0.0014621263 0.0026943213 0.0022226677 0.0017038487 0.058143098 0.002482077 0.0009256202 0.0049464675 0.0012027167 0.0024643901 0.0010494293 0.0010671163 0.0034607584 0.002375955 0.058001604 0.0013088388 0.0011909254 0.0011968211 0.0011673426 0.00078412413 0.0011732384 0.0012027167 0.00085487217 0.0007723328 0.0008312895 0.00085487217 0.00060135836 0.00076643715 0.0016036223 0.0012911517 0.0008312895 0.0009727856 0.001090699 0.0007133761 0.00081949815 0.00064262806 0.001161447 0.0006190454 0.0010789076 0.0008253938 0.0010848034 0.00060135836 0.00072516745 0.0009550986 0.0012145081 0.0008489765 0.0009079332 0.0007192718 0.00076643715 0.00069568906 0.00066031504 0.00093741156 0.0012911517 0.00073106313 0.00076643715 0.0010435337 0.001002264 0.0007900198 0.0008784549 0.00066031504 0.0029596265 0.0010140553 0.0012616734 0.0016920574 0.0014503349 0.0009492029 0.0011260731 0.0017392227 0.0012911517 0.0010435337 0.0007192718 0.0007487501 0.008802236 0.0009315159 0.0007900198 0.0010494293 0.0013324214 0.00074285443 0.00081949815 0.0009845769 0.00081949815 0.0007074804 0.00089614186 0.00090203754 0.0009963682 0.00086076785 0.00068389776 0.0009256202 0.00084308087 0.00080770685 0.00084308087 0.0009256202 0.0013677955 0.0008312895 0.0012262994 0.00086076785 0.001090699 0.0011673426 0.00077822845 0.0009138289 0.0027414868 0.0009904726 0.0008843505 0.0009138289 0.0018276578 0.00081360247 0.00093741156 0.0008843505 0.002057589 0.0011968211 0.0010789076 0.0010612207 0.0012793604 0.0008312895 0.001019951 0.0013501085 0.0015151872 0.0010081596 0.00089614186 0.00093741156 0.0016743704 0.001697953 0.0019809452 0.30100933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0053234566 2.0841273e-05 0.0 1.7863948e-05 0.0 5.954649e-06 5.954649e-06 2.6795922e-05 0.00017566216 8.931974e-05 5.954649e-06 5.954649e-06 3.5727895e-05 1.1909298e-05 4.7637193e-05 0.0003245284 0.007883956 7.145579e-05 2.0841273e-05 1.4886624e-05 1.1909298e-05 1.4886624e-05 2.9773246e-06 5.656917e-05 0.0015154582 0.001485685 2.9773246e-06 8.931974e-06 0.00013695694 2.9773248e-05 6.252382e-05 0.019168016 0.011391244 0.00013100229 4.7637193e-05 3.5727895e-05 4.1682546e-05 2.0841273e-05 3.2750573e-05 6.847847e-05 0.0039092274 0.0040283203 0.00012207031 7.145579e-05 0.00017863949 0.00013100229 0.00032155108 0.04044398 0.024643317 0.00014886624 0.0002530726 0.00020245808 0.00042575743 0.00017268483 0.0006282155 0.0004227801 0.007863115 0.007898842 0.0004227801 0.00034239233 0.00037216558 0.00047339464 0.00048530393 0.05280583 0.06392912 0.00046446265 0.0003245284 0.00053294114 0.0009438119 0.0003155964 0.00087533344 0.0008574695 0.03136016 0.03158048 0.0013993426 0.0011164967 0.0012534537 0.0011164967 0.0014231612 0.118604705 0.02240139 0.00034239233 0.00021139006 0.00035727897 0.00022032202 0.0001697075 0.00023818598 0.00035132433 0.0134753715 0.013886242 0.0012713176 0.0011075648 0.0011968846 0.0010658823 0.0012951363 0.052165706 0.019239472 0.0003364377 0.0006163062 0.00039300686 0.0015839367 0.0006133289 0.0010986328 0.0008842654 0.004224824 0.004227801 0.00047637196 0.00059546495 0.0005269865 0.0004704173 0.0006252382 0.012867997 0.016899295 0.0004972132 0.00135766 0.0010361089 0.0024920208 0.0020424447 0.00764577 0.004400486 0.0023580412 0.0019680117 0.000458508 0.00057760096 0.00047637196 0.00051805447 0.00052400917 0.005528892 0.010489115 0.00047934928 0.0008902201 0.00462974 0.0022210842 0.0010867235 0.0039449553 0.002182379 0.0009438119 0.0006490568 0.0003840749 0.00035430165 0.0006311928 0.00043171208 0.0004346894 0.0007353992 0.009226729 0.0009021294 0.0018221227 0.0044808737 0.0016881431 0.0009944264 0.002584318 0.0018012815 0.0014291159 0.0013517054 0.0007830364 0.0007086033 0.004409418 0.000687762 0.0010748142 0.002640887 0.008973656 0.0015392769 0.0014559118 0.0011135194 0.0030517578 0.0023133813 0.0015630955 0.0016821885 0.004299257 0.000806855 0.0003245284 0.00054782775 0.0037246333 0.0004823266 0.0013487281 0.0033584223 0.025060141 0.0066632526 0.006803187 0.008110233 0.0068925065 0.0076219514 0.010563548 0.008044731 0.009756693 0.003447742 0.002798685 0.002649819 0.00840201 0.002521794 0.0043439167 0.008271008 0.012704245 0.007410561 0.0076308833 0.007976253 0.006719822 0.0069252574 0.008899223 0.007550495 0.007336128 0.005645008 0.006439953 0.005722418 0.006216654 0.0059457175 0.0061243568 0.0066066836 592.0 17.268581 10223.0 0.03188888 0.0013694611 0.003814927 0.00058691186 0.007825492 0.0014672796 0.001662917 0.0015650983 0.0032280153 0.0017607356 0.0008803678 0.0013694611 0.0037171084 0.012520786 0.02240047 0.013596792 0.037073266 0.021324465 0.01946591 0.013107698 0.008999315 0.008705859 0.0047931136 0.0035214713 0.006358212 0.007434217 0.006945124 0.00215201 0.006358212 0.004597476 0.0050865696 0.0032280153 0.0057713 0.007825492 0.0018585542 0.012912061 0.0058691185 0.0050865696 0.0028367406 0.0050865696 0.0034236526 0.009879683 0.001076005 0.00215201 0.0036192897 0.0032280153 0.0061625745 0.0029345592 0.006064756 0.0015650983 0.004988751 0.016237894 0.009977502 0.0026411035 0.007727673 0.007434217 0.0034236526 0.001076005 0.0035214713 0.0013694611 0.0012716424 0.00078254915 0.0012716424 0.011738237 0.0011738237 0.037660178 0.0061625745 0.033649612 0.020835372 0.06064756 0.008705859 0.013401154 0.01085787 0.04333366 0.0015650983 0.0036192897 0.023183018 0.024356842 0.03531253 0.040203463 0.019074636 0.0011738237 0.041475106 0.0346278 0.057517365 0.01300988 0.0054778443 0.008216766 0.006260393 0.011444781 0.0028367406 0.0011738237 0.0013694611 0.0008803678 0.00058691186 0.00058691186 5.758128 0.0 38.0 0.0 3.0 169616.0 163840.0 1.0 0.0 88.0 1.0 1.0 1.0 0.0 0.0 1532121300.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 5.0 1.0 5.0 1.0 17408.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 0.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4546103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.870729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.359573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2653584 0.0 3.632631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17374.0 0.0 118744.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 31356.0 118744.0 40960.0 0.0 0.0 19088.0 150528.0 2084.0 159744.0 84.0 28608.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 28696.0 0.0 0.0 400.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.14255337 0.0086374115 0.0041893064 0.0034265963 0.006246011 0.0039516594 0.0020305756 0.0019621432 0.007889632 0.0015117336 0.0017033444 0.0015067568 0.0045775045 0.0013736247 0.001231783 0.0038931808 0.006168869 0.0015067568 0.0011882351 0.0008970864 0.0024735199 0.0019845392 0.0007689312 0.0008274098 0.0023105263 0.00075648894 0.00083238666 0.00071294105 0.0016199813 0.0006059377 0.0005959839 0.0005673667 0.0038956692 0.00058851857 0.0006544625 0.0005449707 0.004170643 0.0013226115 0.00046658446 0.00056363404 0.0011882351 0.0006557067 0.0005860301 0.0009468554 0.001109849 0.0023515858 0.00067934697 0.00052008615 0.0054297987 0.0028903352 0.0030097808 0.010410433 0.0031055862 0.0021587308 0.0025344868 0.0018115919 0.003597055 0.0022246747 0.000717918 0.0014893377 0.0016747272 0.0009804495 0.00046782868 0.0005312842 0.011831338 0.0039479267 0.0049258876 0.008871326 0.0038882038 0.032723125 0.0032847547 0.0027223649 0.0034004676 0.0035659496 0.0021997902 0.0023665165 0.002723609 0.0044095344 0.001165839 0.0015391066 0.00910524 0.002154998 0.002066658 0.009805739 0.003221299 0.013907949 0.0032387183 0.0021064733 0.0019360145 0.0065471134 0.0027559588 0.003276045 0.0015739449 0.0046608676 0.0023901567 0.0036231838 0.005794357 0.004469257 0.0017792421 0.0032909757 0.009334178 0.00617509 0.00403129 0.0015950968 0.007839863 0.0042714253 0.0037762236 0.001392288 0.0035199132 0.0017692883 0.004490409 0.004071105 0.0031342034 0.0017307173 0.0050677294 0.0039031345 0.010247439 0.0055990135 0.0018551399 0.0011135816 0.0028206587 0.001270354 0.00053377263 0.00059349544 0.001662285 0.0025319983 0.0010687895 0.00087966723 0.0052730264 0.0011645948 0.0010949182 0.00911395 0.0031391804 0.0032449395 0.0010401723 0.0006221126 0.0026775727 0.015274109 0.0022458266 0.052018568 0.0012031659 0.011062407 0.00086224807 0.0006843239 0.0026713517 0.00044667686 0.00073160446 0.00064948556 0.0011297566 0.00094187853 0.0015204432 0.0005710994 0.0011807698 0.0005922512 0.000502667 0.00071667373 0.00096178614 0.00047902673 0.00046782868 0.00042179236 0.0009020633 0.0033482101 0.00046907293 0.0025655925 0.0014321032 0.00082243286 0.0005673667 0.00045538644 0.0010526145 0.00046036334 0.0005126208 0.00049022475 0.00085229427 0.00045289798 0.00074653514 0.0006619278 0.0013325652 0.00068930077 0.0017406711 0.00053999375 0.0008833999 0.0006743701 0.00071667373 0.0015888757 0.0031690416 0.0025494175 0.004678287 0.000828654 0.0010065782 0.00048275938 0.00085851544 0.00071916217 0.012067741 0.0011558853 0.0023005726 0.010410433 0.0043834057 0.0010650568 0.0035783919 0.0033880253 0.0018812686 0.0017755094 0.0009891591 0.0013101692 0.0016921463 0.00089833065 0.0009978686 0.00094809965 0.0028915794 0.0011571294 0.0029923618 0.0013611824 0.0018240341 0.00077266386 0.0016137601 0.0008809115 0.0033880253 0.0006581952 0.0010924297 0.0017979054 0.0015055125 0.00072289485 0.0005661225 0.0008473174 0.0024536122 0.0006619278 0.0008833999 0.0009966245 0.0024473912 0.002446147 0.00055368023 0.0006980104 0.027773596 0.0060618655 0.0010998951 0.0059349546 0.006571998 0.0010488819 0.0006843239 0.0007589774 0.007286183 0.000982938 0.0018277669 0.00092445937 0.009192336 0.0021836152 0.004120874 0.0026091402 0.010127993 0.0030719922 0.0030918997 0.003634382 0.014977983 0.0040200916 0.0043274155 0.0693469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01023208 0.0 0.0 0.0044787177 0.003169151 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012185206 0.0 0.0 0.0007838691 0.0005518888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.642603 83641.0 0.005595342 0.00013151445 0.0005738812 9.564687e-05 0.0034432875 0.0005858371 0.00013151445 0.00017933789 0.0004064992 0.00041845508 0.0007532191 0.00059779297 0.00051410194 0.014645928 0.0011597184 0.00047823435 0.02295525 0.018902212 0.024031276 0.014825265 0.019248933 0.016546909 0.020360827 0.013079709 0.02246506 0.016654512 0.000848866 0.0005260578 0.0009803805 0.0005499695 0.00011955859 0.0001434703 0.0013988354 0.008763645 0.007603926 0.014908956 0.0073289415 0.016570821 0.004854079 0.0031563467 0.0050573284 0.018077258 0.0025226863 0.0041008596 0.0070061334 0.0068507073 0.004555182 0.009469041 0.013259048 0.0026900682 0.0061453115 0.021030355 0.01342643 0.006432252 0.0060616205 0.0035867577 0.0028574504 0.005499695 0.0015662175 0.0030726558 0.0011955859 0.0028694062 0.0029889648 0.022799823 0.0002630289 0.03167107 0.013318826 0.02748652 0.026697433 0.05407635 0.0121710645 0.010616803 0.018435935 0.035473034 0.008010426 0.0068267956 0.024306262 0.012159108 0.038880453 0.034863286 0.018495714 0.0028454945 0.040721655 0.029291855 0.042024843 0.011262419 0.011262419 0.0057985918 0.013689458 0.006862663 0.0010760273 0.00029889648 0.00056192535 0.0002630289 0.00031085234 0.0003228082 5.7801714 0.0 2.0 14.0 4.0 803713.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.578043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23547712 0.010532924 0.003641183 0.0039481027 0.006612723 0.023869978 0.0023158481 0.0018415179 0.0055803573 0.0020368304 0.0021065848 0.0015904017 0.0059430804 0.0020228794 0.001813616 0.013392857 0.025167411 0.0012416295 0.0010602679 0.0012555803 0.0023158481 0.0067103794 0.0009905134 0.0010602679 0.0020228794 0.0011021205 0.0010463169 0.0012276786 0.0028320313 0.0012276786 0.0010463169 0.0009905134 0.0036132813 0.0009765625 0.0011021205 0.0010881696 0.008872768 0.0060546873 0.0011160715 0.0012695312 0.001688058 0.0009905134 0.002218192 0.0021763393 0.003892299 0.0012416295 0.0028180804 0.001297433 0.0042550224 0.0023577008 0.0026646205 0.012444196 0.0045061386 0.0029157365 0.0024274553 0.002483259 0.0027064732 0.0026367188 0.00234375 0.0028041294 0.0047433036 0.0030831473 0.0021623883 0.002232143 0.009612165 0.0024274553 0.0013532366 0.0020926339 0.006501116 0.010128348 0.0029296875 0.002329799 0.0018415179 0.0019112723 0.0011579241 0.0014648438 0.0023577008 0.0034877232 0.0015764509 0.0015066965 0.0054408484 0.002483259 0.0020089287 0.0035574776 0.0020507812 0.0029715402 0.0045200894 0.0047154017 0.0016322545 0.0010323661 0.0010044643 0.001953125 0.0023158481 0.0032226562 0.002580915 0.0024414062 0.0028738838 0.0045200894 0.0017578125 0.003111049 0.0043247766 0.0086077005 0.004547991 0.0018833706 0.00796596 0.0046875 0.009472656 0.0021763393 0.004673549 0.0026367188 0.0042131697 0.005036272 0.003362165 0.002218192 0.0055245534 0.005231585 0.0099748885 0.0072684153 0.0031947545 0.0031529018 0.0027901786 0.0019810267 0.0009486607 0.0011997768 0.002232143 0.0024135045 0.0013811383 0.0019391741 0.0034877232 0.002078683 0.0009905134 0.0063197543 0.0029575892 0.0068219868 0.0010463169 0.0010881696 0.0020647321 0.008300781 0.0019391741 0.017327009 0.0011021205 0.008384487 0.0014508929 0.0014090402 0.001688058 0.0009765625 0.0009486607 0.00089285715 0.0014508929 0.0021763393 0.0009347098 0.00089285715 0.0010881696 0.000906808 0.0010044643 0.0010602679 0.0013113839 0.0015625 0.0008789062 0.00092075893 0.00390625 0.00546875 0.0019810267 0.0009486607 0.0013532366 0.0009905134 0.0016462053 0.0009626116 0.0012137276 0.00092075893 0.0016322545 0.00089285715 0.0011300223 0.0036830357 0.0016183036 0.0009905134 0.0020368304 0.00089285715 0.0012137276 0.00092075893 0.0013532366 0.0009486607 0.008119419 0.0013671875 0.0015764509 0.0010602679 0.0016322545 0.0009765625 0.0011300223 0.00092075893 0.0015206473 0.0010323661 0.006152344 0.004408482 0.0021902903 0.0034458705 0.0024274553 0.0015345982 0.0025390624 0.00828683 0.0017717634 0.0019949777 0.0020228794 0.0016183036 0.010700335 0.0009765625 0.0025390624 0.0013532366 0.0021205358 0.0015206473 0.0012137276 0.001813616 0.0015764509 0.0013671875 0.0020507812 0.0022460937 0.0020647321 0.0010881696 0.0013671875 0.0013392858 0.0016741072 0.000906808 0.0012695312 0.0011858259 0.0018554687 0.0010742188 0.0012276786 0.0011579241 0.0017857143 0.0021902903 0.0008789062 0.0009905134 0.005106027 0.00249721 0.0017717634 0.0032087055 0.0040876116 0.0010602679 0.0012416295 0.0016322545 0.0029575892 0.0016043527 0.0013532366 0.0020368304 0.0028320313 0.0010323661 0.0016462053 0.0017020089 0.0039620535 0.0014927456 0.0016601563 0.0012555803 0.004171317 0.0014369419 0.0019112723 0.021791294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054305367 0.00092702673 0.0019318954 0.0015356091 0.0011393229 0.000983639 0.0024131 0.0019602017 0.0009199502 0.00091287366 0.0009057971 0.0009057971 0.0009057971 0.0009057971 0.0009057971 0.0009057971 0.045827672 0.00048828125 0.0049889605 0.0014577672 0.0012950068 0.0010331748 0.008428159 0.004939425 0.0005165874 0.0004812047 0.00048828125 0.00052366394 0.0005165874 0.0005024343 0.00046705164 0.00050951086 0.023161516 1.415308e-05 0.0023494111 0.0006085824 0.0014789968 0.0015851449 0.008902287 0.0049111187 6.368886e-05 6.368886e-05 8.491848e-05 4.9535778e-05 4.245924e-05 4.9535778e-05 4.9535778e-05 6.368886e-05 0.017330445 0.00019814311 0.0011747056 0.0005024343 0.0032976675 0.0022078804 0.010862488 0.006751019 0.00013445425 0.00012737772 0.0001769135 0.00016276042 0.00016983696 0.00012737772 0.00015568388 9.9071556e-05 0.012667006 0.00066519476 0.0004812047 0.00044582202 0.0017620585 0.0012242415 0.0048262 0.0030216826 0.0013091599 0.00016276042 0.00025475543 0.00019106657 0.00075718976 0.00029013812 0.00052366394 0.00040336276 0.015377321 0.0019248188 0.002030967 0.018717447 0.0017974412 0.0013374661 0.0024201765 0.0019035892 0.0015143795 0.0015285326 0.0019602017 0.0016205276 0.0015922214 0.0014648438 0.0015639153 0.0012171648 0.019453408 0.001691293 0.0016063745 0.0015709918 0.0016346807 0.0016205276 0.0016063745 0.0016559103 0.001613451 0.0015568387 0.0015639153 0.0015356091 0.0015639153 0.0015639153 0.001613451 0.0016276041 0.06250708 0.015830219 0.008973053 0.0094401045 0.015533005 0.01006284 0.011640908 0.008980129 0.02662902 0.0025758606 0.0056470786 0.006227355 0.019042969 0.004245924 0.0084847715 0.016063746 0.059938293 0.021986809 0.009043818 0.012511322 0.017068613 0.016127434 0.013926631 0.013020833 0.026756397 0.0032976675 0.01026806 0.0075648213 0.0217179 0.007678046 0.010084069 0.024371604 0.009178272 0.008116791 0.008116791 0.008088485 0.0080955615 0.0080955615 0.008102638 0.008109715 0.0080531025 0.008081408 0.008074332 0.008038949 0.008046025 0.008060179 0.0080955615 0.008081408 385.0 11.828571 4554.0 0.015810277 0.0021958717 0.0026350461 0.0035133949 0.005050505 0.0041721566 0.0030742204 0.0065876152 0.0030742204 0.0028546334 0.009222661 0.0017566974 0.003732982 0.0046113306 0.009442248 0.0032938076 0.007905139 0.009661836 0.015371102 0.016469039 0.0122968815 0.010320597 0.012516469 0.014053579 0.0114185335 0.015151516 0.011638121 0.011638121 0.012736056 0.012736056 0.011857707 0.012077294 0.0032938076 0.009442248 0.003732982 0.011638121 0.008563899 0.009881423 0.010540185 0.008124726 0.007465964 0.0065876152 0.0026350461 0.0057092668 0.0052700923 0.0059288535 0.006368028 0.003732982 0.010759772 0.0052700923 0.0061484408 0.015151516 0.007685551 0.0039525693 0.007685551 0.020641195 0.0046113306 0.0021958717 0.0041721566 0.0019762847 0.0054896795 0.0017566974 0.0017566974 0.0030742204 0.0015371102 0.030303031 0.008344313 0.015590689 0.019762846 0.072463766 0.007246377 0.008783487 0.009881423 0.032279316 0.0052700923 0.0032938076 0.031181378 0.011857707 0.028546333 0.026130874 0.016029865 0.0035133949 0.03886693 0.027009223 0.04743083 0.010320597 0.0065876152 0.007465964 0.008124726 0.010979359 0.002415459 0.0026350461 0.0015371102 0.0032938076 0.0068072025 0.0043917433 6.068671 0.0 0.0 0.0 2.0 71680.0 90112.0 0.0 1.0 120.0 1.0 1.0 0.0 0.0 0.0 1520187000.0 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 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 12.0 0.0 5.0 1.0 5.0 1.0 34304.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34304.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7793765 0.0 0.0 -1.5 0.0 0.0 0.0 0.0 0.0 6.198589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.531185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3668585 0.0 4.875811 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2804.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 28966.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33864.0 0.0 480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 85.0 66896.0 180.0 66984.0 480.0 81920.0 0.0 0.0 0.0 0.0 2804.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.29049772 0.015596656 0.0077764266 0.006735447 0.0076527456 0.0032698095 0.0025483386 0.002455578 0.0075651384 0.0017727573 0.0018294443 0.0022391367 0.0065782694 0.0040814644 0.0035712814 0.0070858756 0.009160105 0.0027209762 0.0025354552 0.0017959474 0.0036898088 0.003501711 0.0013991384 0.0010512862 0.0025534919 0.0013269912 0.00090956874 0.0011079733 0.0028807304 0.0015331259 0.0019247815 0.0021231861 0.009858386 0.0019376649 0.0015949662 0.0015434326 0.011997032 0.0015434326 0.0009636791 0.00086576515 0.001953125 0.00073693105 0.0008477284 0.0013862549 0.0016336164 0.0014017151 0.0022726336 0.0016181563 0.0034965575 0.0015923895 0.0014068685 0.0031461287 0.0017547205 0.0012161939 0.00071116426 0.0007755813 0.0017366837 0.0014558254 0.001174967 0.0022674801 0.0013836783 0.0016181563 0.0015588927 0.0018732479 0.0049317693 0.0030842884 0.0107499175 0.009933109 0.0063901716 0.0067844037 0.002705516 0.0013682182 0.0021437996 0.0012007338 0.0006544772 0.00069570413 0.00444993 0.0072920104 0.0018217142 0.0013218379 0.008397407 0.0033368033 0.0028291969 0.0034733673 0.0019196281 0.0026488292 0.005119867 0.0039680903 0.001450672 0.0023164372 0.00063901715 0.0015949662 0.0023035537 0.0022339833 0.0036511584 0.0028420803 0.0014223285 0.0039706673 0.0010847831 0.0022880936 0.0036820786 0.007593482 0.0023318972 0.001329568 0.005593977 0.0036820786 0.0058980254 0.00091729884 0.00333938 0.0015125123 0.003808336 0.004385513 0.0033419565 0.00088637864 0.004447353 0.003532631 0.0112884445 0.008309799 0.0016233097 0.0018990147 0.0016310398 0.0013347213 0.0009250289 0.0005926369 0.0015305491 0.001798524 0.0013012245 0.0010074826 0.0036176615 0.0017315303 0.00085545843 0.0078073465 0.0029116508 0.005686737 0.0009842926 0.0009791392 0.003120362 0.00669422 0.0021515295 0.020422783 0.0010229428 0.012161939 0.0013244146 0.0010590163 0.0062690675 0.00058490684 0.0006235571 0.0011363168 0.000834845 0.0007163176 0.00069312745 0.00040453908 0.00073693105 0.0005333732 0.00048183955 0.000445766 0.0006544772 0.00045864942 0.00052048976 0.0008889553 0.0015923895 0.0018809779 0.0009868692 0.0008451517 0.0008477284 0.00066736067 0.0005127597 0.00046380277 0.0009224522 0.0004869929 0.00066736067 0.00055140996 0.0006982808 0.00052048976 0.00065963063 0.0007626979 0.0018191375 0.0008168082 0.00079877145 0.0008580351 0.00083999836 0.00048441623 0.0008065015 0.00075496786 0.0021566828 0.0008142315 0.0005436799 0.0015975429 0.00073693105 0.0006209804 0.0011440468 0.0010873599 0.007382194 0.0024736149 0.0027725098 0.0041922615 0.002697786 0.0009920226 0.004094348 0.0031229386 0.0016877267 0.0021669897 0.0009920226 0.000834845 0.0061994973 0.0009224522 0.0024710381 0.0016078496 0.0031332453 0.0013063778 0.0014893223 0.001450672 0.0013914083 0.0009765625 0.0009842926 0.0012265006 0.0021437996 0.00082453823 0.0012574209 0.0013398747 0.0018990147 0.0009842926 0.0011492003 0.0013682182 0.004828702 0.0017238003 0.0014171752 0.0009842926 0.0020948425 0.00078588806 0.0007601212 0.0006879741 0.014870032 0.0043983962 0.00072404766 0.0034347172 0.0034862508 0.0011904271 0.0014790155 0.0018062541 0.0070549557 0.0034965575 0.0020613456 0.0020278487 0.002561222 0.0007601212 0.002051039 0.0014893223 0.0036125083 0.0013347213 0.0009224522 0.0014042917 0.0048183952 0.0019557017 0.004163918 0.037282012 0.105820104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048143496 2.4543237e-05 6.071222e-05 7.7504965e-06 6.4587466e-06 1.5500993e-05 0.00014596767 9.42977e-05 8.138021e-05 3.8752482e-06 6.4587466e-06 5.166997e-06 5.166997e-06 7.7504965e-06 5.166997e-06 6.4587466e-06 0.006988364 0.00012529969 0.000103339946 2.8418486e-05 0.00013434193 6.7170964e-05 0.0001937624 0.00011884094 4.7794725e-05 1.6792741e-05 1.2917493e-05 1.937624e-05 2.3251489e-05 9.042245e-06 1.2917493e-05 3.4877234e-05 0.002308356 4.1335978e-05 2.0667989e-05 1.6792741e-05 1.2917493e-05 1.1625744e-05 1.6792741e-05 2.3251489e-05 8.9130706e-05 1.0333994e-05 1.1625744e-05 1.4209243e-05 1.1625744e-05 1.937624e-05 2.1959739e-05 1.5500993e-05 0.0021378451 3.4877234e-05 3.746073e-05 2.9710234e-05 3.1001986e-05 3.1001986e-05 2.5834986e-05 4.5211225e-05 2.3251489e-05 3.3585482e-05 3.3585482e-05 4.5211225e-05 3.3585482e-05 4.262773e-05 3.1001986e-05 2.9710234e-05 0.0094349375 6.7170964e-05 0.0005373677 0.00020667989 0.00055674394 8.396371e-05 0.0005761202 0.00031389509 0.000108506945 0.0001808449 6.3295716e-05 0.00020667989 0.00021443039 6.975447e-05 7.3629715e-05 0.0005334925 0.036844566 0.0006316654 0.0040741772 0.0004921565 0.0020978008 0.00050378224 0.009464648 0.004663215 0.00026868386 0.000572245 0.0002015129 0.00049474 0.0004056093 0.0003035611 0.0004314443 0.0020422556 0.030965814 0.0008034681 0.0013472945 0.00045986276 0.0035006406 0.0010773189 0.0025783316 0.0014622603 0.00084222056 0.0006161644 0.0003061446 0.0005244502 0.0011457817 0.00095201924 0.0004818225 0.0032009548 0.011760086 0.00036039806 0.0017219018 0.0006859189 0.0040082983 0.0023548591 0.011703249 0.006487165 0.00089259876 0.00027385086 0.0001730944 0.00017955316 0.00015371817 0.00019763765 0.00025834987 0.0011173632 0.011855676 0.00075696514 0.0011948681 0.0010321077 0.0032526248 0.0013989646 0.0038326203 0.002715257 0.001865286 0.0003061446 0.00036298158 0.00051928323 0.0003591063 0.00023122314 0.0003190621 0.0017438616 0.00930447 0.00089389057 0.0007401724 0.001056651 0.003489015 0.00082026084 0.0024737 0.0013305019 0.0007195044 0.0002880601 0.00030743633 0.00028418485 0.00044177828 0.00027126737 0.00044177828 0.00094685226 0.0035781458 0.0006536252 0.0004663215 0.0003901083 0.0024491567 0.00061745616 0.0006316654 0.000505074 0.0030265688 0.0003746073 0.00023509839 0.00043015252 0.0026920056 0.0006988364 0.0026519613 0.0044087404 0.07891168 0.020231377 0.01748512 0.011472026 0.021720765 0.01876395 0.008758061 0.012345249 0.030255353 0.005123078 0.0039230427 0.0051657055 0.018070282 0.010061435 0.022103123 0.035715576 0.05259745 0.011508195 0.010283616 0.007374597 0.020435475 0.019035218 0.008547505 0.011455233 0.03055633 0.004023799 0.003370174 0.003901083 0.017222894 0.0057392423 0.01391214 0.02342329 0.003808077 0.004023799 0.004092262 0.0038881656 0.0039075417 0.0039450023 0.0039178757 0.003901083 0.003864914 0.0041219722 0.003995381 0.0040418836 0.0038571635 0.0042886077 0.003937252 0.003901083 1305.0 13.52567 17651.0 0.02810039 0.0019828905 0.0016996204 0.0013596964 0.012067305 0.0007365022 0.00090646424 0.0013596964 0.0027193928 0.0009631182 0.0022661604 0.0015863124 0.0010764262 0.0027760467 0.012237267 0.0015296583 0.004192397 0.0026627386 0.0030593167 0.003795819 0.0034558948 0.0013030423 0.0013596964 0.0013030423 0.0018695825 0.0015296583 0.0022661604 0.0012463883 0.0014730043 0.0008498102 0.0009631182 0.003739165 0.009121296 0.01608974 0.0041357432 0.01960229 0.013143731 0.011500765 0.010764263 0.0070250975 0.0062885955 0.006855136 0.0005665401 0.0012463883 0.008724718 0.009121296 0.0063452497 0.0054954393 0.0146733895 0.004985553 0.010764263 0.02016883 0.010764263 0.0070250975 0.012577191 0.0146733895 0.0011897343 0.0018695825 0.0007365022 0.0024361226 0.018865786 0.0025494306 0.0030593167 0.0060619796 0.00090646424 0.03756161 0.005722055 0.023681378 0.019828904 0.08736049 0.008724718 0.0132003855 0.010537647 0.04543652 0.003909127 0.0047589373 0.032632712 0.013143731 0.040734235 0.050761998 0.01977225 0.00045323212 0.04968557 0.034275677 0.06651181 0.013370347 0.0048722452 0.0124638835 0.009347912 0.00804487 0.0010197723 0.0008498102 0.0011330802 0.00062319415 0.0007931562 0.0010197723 5.595437 15.0 2.0 0.0 2.0 388096.0 409600.0 0.0 0.0 308.0 0.0 1.0 0.0 0.0 0.0 1074396000.0 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 3.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 188416.0 4096.0 4096.0 4.0 0.0 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 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188416.0 0.0 134144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6232505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8392954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.57287 0.0 5.3023386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42274.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -187590.0 0.0 136784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 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 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 2.0 0.0 0.0 0.0 1.0 -1.0 -2.0 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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 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 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -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 -2.0 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 -1.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 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 -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 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -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 0.0 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 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 227968.0 136784.0 270336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1268.0 192512.0 0.0 0.0 0.0 0.0