Input: 0.7396734 0.0028769597 0.002254794 0.0017603281 0.003074449 0.000864944 0.0005100571 0.00061548373 0.0025651343 0.00040611534 0.000688243 0.00051376934 0.001761813 0.00043581298 0.00031999216 0.0021025934 0.0017447368 0.00062216574 0.00037938746 0.00055237627 0.00085974694 0.0007313046 0.0002828701 0.00018932251 0.0008448981 0.00019971668 0.00020936842 0.00021159575 0.00059618027 0.0001856103 0.00016556439 0.00022570213 0.0014180627 0.00012398769 0.0002197626 0.00016407951 0.0016296584 0.0005932105 0.00021085331 0.00017670101 0.00034300785 0.00027618813 0.00017373124 0.00031627994 0.00046773796 0.0003118253 0.00028732474 0.00017373124 0.0010520392 0.00040166068 0.00022792946 0.0020625016 0.000479617 0.00014106384 0.00018709518 0.0001351243 0.00056128553 0.00019229227 0.00037716012 0.00064072676 0.0005263908 0.00035785665 0.00019154983 0.00039423627 0.003929741 0.002189459 0.0014626092 0.0017432519 0.00100972 0.005722737 0.0008827626 0.0013118936 0.0007223953 0.0006578029 0.00032518923 0.00027099103 0.00061845355 0.00093993056 0.00035562934 0.00034672004 0.0030024322 0.0010876764 0.0019325744 0.0024478287 0.0015695207 0.0044939965 0.0012554681 0.00095997646 0.0010928734 0.0015405655 0.0008664289 0.0014566696 0.00069047033 0.001162663 0.0011084647 0.00074095634 0.0003637962 0.0016771747 0.00040091824 0.0005791041 0.0028242464 0.0023750693 0.0015353684 0.00051228446 0.0016207491 0.0019481657 0.00079738186 0.00038235722 0.0012562105 0.00075283536 0.0013571825 0.0014633517 0.0012614076 0.00015962486 0.0020832901 0.0014039563 0.00470485 0.002096654 0.0003437503 0.000429131 0.00057613436 0.00040463047 0.000227187 0.00039720605 0.0007179406 0.0006229082 0.00039572117 0.0003459776 0.001464094 0.00044917694 0.00017076147 0.004198505 0.001021599 0.00262156 0.0001856103 0.00019897424 0.00055608846 0.004037395 0.00020936842 0.018166794 0.0002828701 0.003377365 0.00019600448 0.00020936842 0.0011403897 0.00012101792 0.00018115566 0.00015220045 0.00030885555 0.00046551065 0.0003548869 0.00012027547 0.00025539976 0.00018709518 0.0001098813 0.0003838421 0.00031405262 0.00016407951 0.00025391488 0.000112108624 0.00034003807 0.0010928734 0.00012769988 0.00023164165 0.0002865823 0.00025391488 0.000108396416 0.00016333707 0.00025985442 0.0001477458 0.00016333707 0.00012398769 0.00034449273 0.00015888242 0.00010765398 0.0001388365 0.0009970985 0.00015739753 0.000688243 0.0001692766 0.00038755432 0.00018858006 0.00044694962 0.00061696867 0.0007483807 0.00057242217 0.0009109754 0.00021753527 0.00023758119 0.00024649047 0.00017595857 0.00021753527 0.0038621791 0.0003548869 0.00093993056 0.0035050649 0.0009926439 0.00018635274 0.0014039563 0.0008248522 0.00051970885 0.00044472227 0.00018115566 0.00044991937 0.00049149606 0.00012992721 0.0002323841 0.0002160504 0.0007335319 0.00027990033 0.00082410977 0.00045808623 0.00041131242 0.00011804815 0.00038235722 0.00026505152 0.0015628388 0.00037419036 0.00037419036 0.0007520929 0.00043729786 0.00033781075 0.0002323841 0.0004506618 0.00062216574 0.00020936842 0.00022347481 0.0001603673 0.0004269037 0.00032296192 0.00013289698 0.00013066965 0.009458701 0.0017224636 0.0003585991 0.0018442239 0.0022926584 0.0007520929 0.0008946417 0.00041725195 0.0019711815 0.00046254086 0.00060063496 0.00026950616 0.0011314804 0.00013141209 0.0004944659 0.00036082644 0.0019288623 0.00043135835 0.00040388803 0.00052193616 0.0030581153 0.0014262296 0.001711327 0.022245767 0.6910198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007324219 3.7159913e-07 1.8579956e-06 1.4863965e-06 1.0033176e-05 5.945586e-06 7.4319826e-07 0.0 7.4319826e-07 0.0 3.7159913e-07 0.0 1.4863965e-06 3.7159913e-07 2.972793e-06 2.2295947e-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 0.00061351014 1.0033176e-05 3.344392e-06 4.4591893e-06 1.5235564e-05 1.9694753e-05 4.0875902e-06 9.289978e-06 2.526874e-05 1.8579956e-06 7.4319826e-07 4.4591893e-06 1.2262771e-05 7.0603833e-06 7.0603833e-06 2.2667547e-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 0.002330298 1.746516e-05 7.0603833e-06 1.0404776e-05 0.0009100463 0.00031437285 0.0030545448 0.0013381285 2.6383537e-05 1.5607164e-05 1.0033176e-05 6.986064e-05 7.803582e-06 5.945586e-06 6.317185e-06 0.0002471134 0.0013912672 1.1147974e-05 1.746516e-05 3.5673515e-05 0.0007052951 0.00032812203 0.0022485463 0.0011634768 2.0066353e-05 2.601194e-06 1.8579956e-06 2.4525541e-05 7.4319823e-06 1.1891172e-05 1.672196e-05 0.00010218976 0.00043551417 3.6045116e-05 1.5235564e-05 1.0404776e-05 5.7597863e-05 1.5235564e-05 7.729262e-05 4.5706693e-05 1.1519573e-05 8.54678e-06 5.573987e-06 2.2295947e-06 1.0033176e-05 3.344392e-06 3.344392e-06 2.3410745e-05 0.0033131777 7.283343e-05 0.00014083607 0.00022779027 0.00086136675 0.00029988048 0.0008754875 0.00043960178 0.00024414062 3.6788315e-05 6.9117435e-05 0.00012522891 0.00013340409 5.908426e-05 0.00016647641 0.00054513593 0.0044313194 0.00018096877 0.00028167214 0.0002917053 0.0011508425 0.00049125403 0.0009672725 0.00061425334 0.0003760583 0.000107392145 0.000112594535 0.00024191102 0.00024971462 0.00011110814 0.00037457192 0.0006718512 0.009239069 0.0007227603 0.0005540543 0.0007227603 0.0025097805 0.0021705106 0.002428772 0.0016394954 0.003649475 0.00055591227 0.00041396142 0.0007524882 0.0010441935 0.00045892491 0.0017420567 0.004120291 0.022184096 0.0024295151 0.002140411 0.0021749698 0.006458393 0.007913575 0.0049764556 0.004655394 0.0122345295 0.0013117449 0.0012552618 0.0024358323 0.004367033 0.0022418576 0.0066326726 0.01247867 0.02501308 0.004495978 0.0036974114 0.00443615 0.009799069 0.013804165 0.005162255 0.006235805 0.020766817 0.0025681215 0.0021630784 0.0033087186 0.008884563 0.0050949957 0.01100528 0.018922199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1728.0 14.149884 24451.0 0.0034763403 0.00024538874 0.00016359249 0.00024538874 0.0027401743 0.00016359249 0.00032718497 0.00024538874 0.0006952681 0.00057257374 0.0017177211 0.00020449061 0.00028628687 0.0012678418 0.002004008 0.00016359249 0.0010633512 0.0012678418 0.0015950268 0.0007361662 0.0007361662 0.00032718497 0.0003680831 0.00024538874 0.00044987936 0.0005316756 0.0018404155 0.0011451475 0.0015541287 0.00040898123 0.0012269437 0.00016359249 0.003680831 0.009570161 0.008752198 0.018608646 0.007647949 0.008465911 0.010429021 0.03873052 0.004294303 0.014559732 0.00065436994 0.00016359249 0.0064210054 0.0071162735 0.002331193 0.003353646 0.017954275 0.00609382 0.01112429 0.016850026 0.017259007 0.006666394 0.005030469 0.0041716085 0.00085886056 0.010797105 0.0023720912 0.00891579 0.00024538874 0.008343217 0.008874892 0.010142734 0.0003680831 0.05386283 0.0069117825 0.0131691955 0.047155537 0.086213246 0.008261421 0.01480512 0.01590937 0.06772729 0.00085886056 0.0038444235 0.030182814 0.022902949 0.04273854 0.041348003 0.03689011 0.00044987936 0.056603003 0.028587788 0.07386201 0.01460063 0.0035172387 0.004539692 0.004457895 0.009202078 0.0012678418 4.089812e-05 0.00040898123 0.00020449061 0.00020449061 0.00024538874 5.2584834 0.0 0.0 0.0 1.0 1346908.0 2486272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1539660500.0 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 5.0 0.0 5.0 0.0 1347584.0 1024.0 4096.0 9.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1339392.0 -14848.0 742912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.105618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6017425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64.0 0.0 0.0 -89652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 226260.0 0.0 0.0 -44364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1339288.0 -14340.0 742912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14340.0 1626112.0 742912.0 1740800.0 0.0 0.0 13072.0 2241536.0 89652.0 1650688.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1646592.0 0.0 0.0 0.0 0.0 2172.0 1628784.0 0.0 0.0 0.0 0.0


Input: 0.23029742 0.012648198 0.005658066 0.0057137473 0.005383943 0.009435821 0.0031823944 0.0043773986 0.009521484 0.0031909607 0.0026812637 0.00243284 0.004647238 0.004672937 0.00147341 0.006977282 0.0035935787 0.0017047012 0.0010622259 0.0015162418 0.00251422 0.006317674 0.0009208813 0.0010964912 0.0026726974 0.0013663309 0.0008908991 0.0011221903 0.008951823 0.008112322 0.0053582443 0.0007538377 0.009470087 0.0007752536 0.0010193941 0.0023300438 0.0017989309 0.0013277824 0.0006510417 0.0005568119 0.0024242736 0.0016704359 0.00084378425 0.0047800164 0.003092448 0.0011607388 0.00080095255 0.00048399807 0.0066817435 0.0008609169 0.0008395011 0.0010108278 0.0015376576 0.0021501507 0.00058251095 0.0005568119 0.00243284 0.0036578262 0.00057394465 0.0008223684 0.0016961349 0.01555647 0.0011907209 0.00062534265 0.0019188597 0.0017475329 0.0020173725 0.047530323 0.021565756 0.0034436677 0.0024542557 0.0021244518 0.0016618695 0.0016832853 0.00045829907 0.00043260006 0.002895422 0.0013020834 0.0013277824 0.0013663309 0.0039019668 0.00050969707 0.0024928043 0.0021758499 0.0022186814 0.00081380206 0.0011650219 0.0010108278 0.0015333744 0.0005225466 0.0006724575 0.00084378425 0.0009251645 0.000659608 0.00085663376 0.0024928043 0.0015505071 0.0008694833 0.00028697232 0.0005225466 0.0026983963 0.00092944765 0.012742427 0.00059536047 0.0033280223 0.00084378425 0.0009851288 0.00025270696 0.0012549685 0.0005782278 0.00066817435 0.00087804964 0.0016875685 0.0002998218 0.0015762062 0.0011821546 0.009281627 0.013941715 0.0020130894 0.00081380206 0.0017346834 0.00022700796 0.00024414062 0.00028268914 0.0014991091 0.00046258225 0.00035978618 0.00069815654 0.019848205 0.004972759 0.0011564556 0.007821066 0.0021373013 0.010596559 0.0012978002 0.0013748972 0.0051355194 0.012785259 0.0034693668 0.018319113 0.0009551467 0.007234272 0.00053111295 0.00035550303 0.0017646656 0.00026555647 0.00029553866 0.0002612733 0.0009337308 0.002334327 0.00037691885 0.00068102387 0.0011179071 0.0005054139 0.00048399807 0.00059536047 0.0009208813 0.0037092243 0.00035550303 0.00038976836 0.0026255825 0.011744449 0.005885074 0.01231411 0.0018974438 0.0026212994 0.0011778715 0.00038120203 0.0011093407 0.00021844161 0.0015633566 0.0017817982 0.0015290913 0.010352419 0.0086177355 0.0030239173 0.008780496 0.0006296258 0.000304105 0.00025270696 0.0014562774 0.010014049 0.002535636 0.0017218338 0.0062491433 0.0019488418 0.00032123766 0.00053111295 0.0012549685 0.005855092 0.0021929825 0.001674719 0.013320656 0.0030838817 0.0028868557 0.0064247535 0.0030581825 0.00023129112 0.0009208813 0.0009037486 0.002282929 0.0023600261 0.0013320656 0.000659608 0.0011093407 0.00019702577 0.00020130894 0.00017132676 0.0012721012 0.0005139803 0.0010450932 0.001143606 0.0014134457 0.00026983963 0.0003683525 0.00022700796 0.0026855469 0.0003683525 0.00029125548 0.0008823328 0.002282929 0.00047114858 0.00028697232 0.000633909 0.0046857866 0.00067674066 0.0019745408 0.00041546737 0.0011907209 0.00030838815 0.00043688322 0.00074955454 0.018944455 0.0034522342 0.00043260006 0.0064290366 0.002287212 0.00023557429 0.0005996436 0.00027840596 0.0016147547 0.000963713 0.0006510417 0.003220943 0.0005568119 0.00084806746 0.0004668654 0.0013834635 0.0012892338 0.0017689487 0.0015804893 0.0007324219 0.0010279606 0.00042831688 0.004463062 0.04083573 0.017621145 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01178328 8.388973e-05 0.00019359168 7.528566e-05 0.00018068557 0.00015917538 0.0004151466 0.0001957427 2.7963244e-05 6.4530564e-06 4.3020373e-06 1.2906113e-05 1.9359168e-05 6.4530564e-06 3.226528e-05 1.9359168e-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 0.0035835973 4.947343e-05 4.7322414e-05 3.8718335e-05 0.000107550935 7.958769e-05 9.249381e-05 3.8718335e-05 0.00011400399 6.8832596e-05 1.7208149e-05 2.1510186e-06 5.3775468e-05 1.2906113e-05 3.4416298e-05 6.453056e-05 0.006218595 6.0228525e-05 0.0006646648 3.656732e-05 0.00060228526 0.00030544467 0.00044310986 4.947343e-05 0.00015487334 3.8718335e-05 3.4416298e-05 3.656732e-05 3.226528e-05 3.656732e-05 3.656732e-05 6.0228525e-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 0.011161637 0.00034416298 0.0017380231 0.00025597122 0.00677786 0.0036976011 0.0008388973 0.00035922014 0.00029468955 5.3775468e-05 0.00017638353 0.00030544467 0.00016562844 3.8718335e-05 7.743667e-05 0.00014626927 0.0044203433 0.00060228526 0.00044310986 0.00029468955 0.0015831498 0.00076576264 0.00019144066 7.958769e-05 0.0002645753 4.3020373e-06 6.4530564e-06 1.7208149e-05 4.7322414e-05 4.3020373e-06 2.1510186e-05 6.453056e-05 0.00230159 0.00022800798 0.00018928965 0.00011830603 0.00027102837 0.00013121215 0.00015917538 7.313464e-05 0.00040008948 4.0869356e-05 4.3020373e-05 8.388973e-05 0.00013336317 4.947343e-05 6.237954e-05 0.00012045705 0.039694898 0.0022090962 0.0021295086 0.001830517 0.0032458873 0.002413443 0.003772887 0.002863006 0.013927846 0.0016261701 0.0016154151 0.005551779 0.0028242876 0.0014067662 0.0034975566 0.003901948 0.034319505 0.0024414062 0.004788168 0.0027834182 0.0038610785 0.0031533935 0.0040611234 0.002654357 0.0124006225 0.001720815 0.0017939496 0.004628992 0.003807303 0.0010647543 0.0032630954 0.005769032 0.10624957 0.024538822 0.012970643 0.020002322 0.04417332 0.007130627 0.009333271 0.017474877 0.043358084 0.006175575 0.036341462 0.019662462 0.01929894 0.0058012977 0.022265194 0.03253631 0.07236027 0.017528651 0.010081825 0.015487335 0.033510722 0.005037686 0.009724756 0.012637235 0.02747066 0.005319469 0.027100684 0.015612094 0.012923321 0.0057948446 0.013964414 0.019410793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 599.0 13.983306 8376.0 0.11043458 0.0046561603 0.00047755492 0.0025071632 0.0016714422 0.0003581662 0.0003581662 0.00023877746 0.0029847182 0.003104107 0.00023877746 0.00047755492 0.0011938873 0.003104107 0.00561127 0.00095510983 0.013371537 0.007163324 0.004417383 0.0037010505 0.0029847182 0.0014326648 0.0027459408 0.0019102197 0.004059217 0.003939828 0.0020296085 0.0011938873 0.00047755492 0.001790831 0.012058262 0.0011938873 0.0022683858 0.025071634 0.020057306 0.038681947 0.016595034 0.07425979 0.032354347 0.008715377 0.011700096 0.039040115 0.0014326648 0.007043935 0.04512894 0.016356256 0.021728748 0.026981853 0.023161413 0.002148997 0.039875835 0.033190068 0.037129894 0.009073543 0.0051337155 0.0028653296 0.0076408787 0.0032234958 0.0011938873 0.00023877746 0.0008357211 0.00023877746 0.00023877746 0.05551576 0.00047755492 0.011819485 0.0029847182 0.0077602672 0.007879656 0.0169532 0.0063276025 0.0063276025 0.0027459408 0.014684814 0.0003581662 0.00059694366 0.0068051578 0.009909265 0.010506208 0.018147087 0.004297994 0.0019102197 0.01504298 0.0066857687 0.014923591 0.012416428 0.0037010505 0.00047755492 0.0015520535 0.0008357211 0.00059694366 0.00023877746 0.0003581662 0.00023877746 0.00023877746 0.00023877746 5.3902726 0.0 0.0 0.0 2.0 233472.0 290816.0 0.0 1.0 79.0 0.0 0.0 0.0 0.0 0.0 1216646400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 217088.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.459153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0302367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2681565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2363.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -215516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 223472.0 80.0 221644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 444.0 221184.0 0.0 0.0 0.0 0.0


Input: 0.1735198 0.012386291 0.0069908015 0.0066796592 0.0129279625 0.003971307 0.0046982486 0.002663095 0.015130001 0.0029035232 0.0024905526 0.0033575082 0.008963726 0.0022472958 0.0018116967 0.014565702 0.0071619297 0.0014694402 0.0013605404 0.0013350833 0.004316392 0.0046968344 0.0013817546 0.0011356693 0.0032783083 0.0008075557 0.0008457413 0.00093342684 0.0027635093 0.0024636812 0.0009560554 0.0010635409 0.0048877625 0.0007311844 0.0009305983 0.00089099834 0.01010081 0.00090938405 0.00064067025 0.00078917 0.0020507106 0.00084291276 0.00072835584 0.0017466396 0.0014128688 0.00084856985 0.001708454 0.00055864186 0.0021511246 0.0007806843 0.0011413265 0.0061464743 0.0013916546 0.00092069834 0.00065622735 0.00061379885 0.0019205965 0.0021539533 0.00085988414 0.0038581644 0.0025145954 0.0025867238 0.001473683 0.005989489 0.004026464 0.0028214948 0.0021355676 0.0031948655 0.0055383327 0.012684706 0.005170619 0.0032641655 0.0072241584 0.0058070463 0.0055227755 0.0032302227 0.0035936935 0.006589145 0.0027960378 0.001868268 0.010211124 0.0059357462 0.0054817614 0.0052286047 0.0036983504 0.0075650006 0.007368415 0.0054874187 0.0019149394 0.0022543673 0.0006958273 0.0034480223 0.0017324968 0.007174658 0.0050164624 0.004395592 0.0012318406 0.0021058675 0.0009419126 0.0013859975 0.0017706825 0.0035908648 0.0049386765 0.0009503983 0.003821393 0.0018244252 0.007692286 0.0006533988 0.0023038671 0.0011823407 0.0020422249 0.0020719247 0.0024735811 0.000994241 0.0029912088 0.002477824 0.011052622 0.010720266 0.0024042814 0.0018428109 0.0018654395 0.0013449832 0.00074249867 0.000714213 0.0019955535 0.003677136 0.0018498823 0.0019672678 0.003991107 0.001858368 0.0010253553 0.016056357 0.0052088047 0.009058484 0.0011314265 0.000939084 0.0019149394 0.014823101 0.0014977258 0.042247467 0.0013322547 0.011621164 0.00082876993 0.0008768555 0.0015415687 0.0006279417 0.0005727847 0.00061662745 0.0012671977 0.0010833408 0.0006307703 0.0014114545 0.0010069696 0.00076654146 0.00046671342 0.00064774166 0.0008612984 0.00062511314 0.00060531317 0.00075522717 0.0010734409 0.0010776838 0.0005600561 0.001223355 0.0010069696 0.000599656 0.00065622735 0.00053318474 0.0013845832 0.00054025615 0.00040448498 0.0005020705 0.00082452706 0.00040024213 0.00045115632 0.00052894186 0.0013958975 0.00060531317 0.0005048991 0.0005232848 0.0008627127 0.00064349885 0.003201937 0.0015641971 0.0023491243 0.0009956553 0.0010465696 0.001238912 0.0011922406 0.0011314265 0.0011696122 0.0022444674 0.009905639 0.004384278 0.005725018 0.003730879 0.004627534 0.00077785575 0.003032223 0.006473174 0.002351953 0.0019220108 0.0011526408 0.00087544124 0.0049415054 0.0006222846 0.0011130408 0.0010069696 0.0021624388 0.0011158694 0.0016094542 0.0010607124 0.0014821687 0.00064349885 0.001088998 0.001004141 0.0023788242 0.0015755114 0.0008047271 0.0018852394 0.0017254254 0.0015542972 0.00081604137 0.0009079698 0.0039246357 0.0016221828 0.0016320827 0.0007962414 0.002182239 0.0031991084 0.0008768555 0.0007566415 0.019398307 0.0043333634 0.00090231263 0.0041381926 0.0061323317 0.0008216985 0.00088675553 0.0012799263 0.0038765501 0.0010310124 0.001698554 0.0010168696 0.0023406385 0.00070148445 0.0028186662 0.0024551954 0.0074363006 0.0036601648 0.0030435373 0.0027055235 0.004279621 0.0049980767 0.0047265342 0.048624467 0.01886509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.8347242e-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 0.0013535809 1.2756259e-05 7.0868105e-06 4.9607675e-06 4.9607675e-06 2.1260432e-06 2.1260432e-06 2.8347242e-06 2.1260432e-05 3.5434052e-06 4.9607675e-06 2.8347242e-06 4.9607675e-06 2.1260432e-06 1.4173621e-05 7.0868105e-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 0.0035873435 6.378129e-05 5.5985805e-05 7.0868105e-06 0.00011197161 7.2994146e-05 9.141985e-05 9.141985e-05 2.1260432e-05 1.0630216e-05 2.1969114e-05 1.7008346e-05 1.7717026e-05 1.2047578e-05 7.0868105e-06 0.000164414 0.009419789 3.2599328e-05 3.5434052e-05 2.1969114e-05 0.0036716766 0.0022713228 0.00021969112 0.0001048848 3.1181968e-05 7.0868105e-06 9.212854e-06 8.504173e-06 2.3386476e-05 2.1260432e-05 3.401669e-05 5.3151078e-05 0.00083482626 0.0 1.0630216e-05 9.212854e-06 0.00034867108 0.00022181717 1.4882302e-05 1.1338897e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0137229 0.0001424449 0.00055418856 0.00028134638 0.0026681842 0.001393267 0.0019460382 0.0012260182 0.00021685641 7.157679e-05 8.433305e-05 8.929381e-05 0.00011409765 0.00012968863 0.0008482912 0.0011849147 0.010235481 0.00012827128 0.00058182713 0.0003146544 0.0016710699 0.0009014423 0.0018581618 0.0009553021 0.00011268029 6.378129e-05 6.803338e-05 0.00011551501 0.00021260431 0.00022677793 0.0008001009 0.00062222197 0.01168119 0.00027496825 0.00062647404 0.00043158676 0.0022571492 0.0013422419 0.006735305 0.0035561617 0.0003819791 0.00027922034 0.00020410014 0.000213313 0.00026362936 0.00017787894 0.0007589974 0.0012947603 0.0035802566 0.0002806377 0.0004563906 0.00016654005 0.00027851167 0.00022323453 0.0008482912 0.0005683622 0.0001792963 8.858513e-05 8.2207e-05 0.00016512269 0.00019701333 0.0004379649 0.00058182713 0.00057403167 0.0075091845 0.00051875453 0.00066119945 0.00090640306 0.00081073114 0.0006718296 0.0018347753 0.0011849147 0.00087663846 0.00036071867 0.0003224499 0.00030473285 0.000804353 0.0009758538 0.0007256894 0.001851075 0.021081135 0.002590938 0.0022784097 0.0031479613 0.006465297 0.0033605655 0.0016072886 0.002053049 0.0068805846 0.0008638822 0.0011034164 0.0018723353 0.003833256 0.0016483922 0.0029140965 0.0050628176 0.11716837 0.019473847 0.012925634 0.01603887 0.03665582 0.04404949 0.013861093 0.023869796 0.06951382 0.0065524653 0.005427788 0.010538796 0.0302132 0.009871218 0.02765061 0.052560747 0.053890944 0.011542289 0.010584151 0.010556513 0.019284628 0.02214274 0.00836598 0.014591743 0.035555948 0.004252795 0.0035597049 0.00615773 0.016009105 0.007195239 0.016775189 0.03094314 0.0022195892 0.0009808146 0.0009708931 0.0032776499 0.0008362437 0.0009255375 0.00091774197 0.0008426218 0.0008660083 0.000953176 0.0008986076 0.0012253096 0.0010587695 0.0011636543 0.0018843829 0.0012983037 1856.0 10.855064 20147.0 0.033205938 0.0012408795 0.0027299349 0.0012408795 0.018513924 0.0009927036 0.0012408795 0.003027746 0.0054598697 0.003027746 0.0016875962 0.0018365018 0.003275922 0.0030773813 0.0031766517 0.0008934333 0.0045168013 0.0017868666 0.0020846776 0.0037226386 0.0027795702 0.0013401499 0.0015883258 0.001091974 0.0026802998 0.0064525735 0.0019357721 0.0050627887 0.005162059 0.0026306645 0.0023824887 0.0051124236 0.003275922 0.008487616 0.0028292052 0.011217551 0.017670125 0.007544548 0.008785428 0.014146027 0.007544548 0.013202958 0.0015386906 0.0039708144 0.009381049 0.0067007495 0.010026307 0.0053109643 0.02615774 0.012309525 0.0145927435 0.020151883 0.011217551 0.007891994 0.012954783 0.021293493 0.004963518 0.003772274 0.0014394203 0.003921179 0.0058569512 0.004169355 0.0045168013 0.0075941826 0.0032262867 0.037524197 0.0077927234 0.022236561 0.017967936 0.078125775 0.007891994 0.010125577 0.014245297 0.03350375 0.007643818 0.0039708144 0.028391324 0.014890554 0.03593587 0.038864348 0.01350077 0.0013401499 0.042041 0.028043877 0.058519877 0.021591304 0.0077430885 0.0068000196 0.0064525735 0.009232144 0.0021343129 0.0013401499 0.0043182606 0.0015386906 0.0012408795 0.002432124 5.80982 0.0 0.0 0.0 3.0 707072.0 872448.0 0.0 0.0 498.0 0.0 1.0 0.0 0.0 0.0 1334016600.0 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 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 10.0 0.0 5.0 0.0 5.0 0.0 548352.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -548352.0 0.0 98816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.942326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1560438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.711762 0.0 5.441879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105518.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -548215.0 0.0 102400.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -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 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 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 1.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 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 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 2.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 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 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 647204.0 24584.0 770048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2144.0 552960.0 0.0 0.0 0.0 0.0


Input: 0.15998584 0.003161266 0.0072073373 0.0028466687 0.0031896671 0.003191852 0.0030454767 0.0030411074 0.002990859 0.0029209487 0.002962458 0.0030017828 0.0050838054 0.0030105216 0.0042361403 0.0056802295 0.002962458 0.0029974133 0.002816083 0.0027723887 0.002881624 0.002807344 0.0029493498 0.0031459732 0.002962458 0.0028270064 0.0029056557 0.0028357452 0.0030826167 0.0030323686 0.0030564002 0.003067324 0.0030869863 0.0029668275 0.002853223 0.0028138983 0.0049505383 0.0029755663 0.002993044 0.0029275029 0.0030629544 0.0027767583 0.0029318721 0.002962458 0.0029690121 0.0029821205 0.0029864898 0.0030105216 0.0031110179 0.0027658348 0.0029384263 0.004231771 0.0029296875 0.002822637 0.0026915548 0.0027243253 0.0029012864 0.0028772545 0.0029733817 0.0028095287 0.0029755663 0.002859777 0.0028619617 0.0029733817 0.0030345533 0.0028707006 0.0029056557 0.0029668275 0.002962458 0.0031132025 0.0069910516 0.0032180683 0.0031263109 0.0029231333 0.003014891 0.0030476614 0.0029974133 0.0030476614 0.0031197567 0.0029799356 0.0032005908 0.0029821205 0.0029362417 0.0031197567 0.0031481578 0.0030017828 0.0029318721 0.002853223 0.003052031 0.0031153874 0.0029690121 0.003191852 0.002940611 0.0031044637 0.0031503425 0.0029537193 0.0030127063 0.0030760625 0.003043292 0.0030564002 0.003065139 0.0032180683 0.003648455 0.0041247206 0.006875262 0.0031525274 0.004887182 0.0030083368 0.0032093294 0.0028401148 0.003030184 0.0031328648 0.0028182676 0.0030323686 0.0031481578 0.003161266 0.0032049601 0.0029449805 0.0030695086 0.002993044 0.002881624 0.0030236298 0.0028510382 0.0028991017 0.0029318721 0.0031110179 0.004181523 0.002866331 0.0029711968 0.002844484 0.0027767583 0.00379483 0.0029231333 0.0059423936 0.0030258144 0.0033120106 0.0026871853 0.00405481 0.0027723887 0.0030869863 0.0028794394 0.002866331 0.0027396183 0.0030039675 0.0031132025 0.0029711968 0.0029952286 0.0027658348 0.0029122098 0.0029143945 0.003952129 0.0031568967 0.0028728852 0.0054792366 0.0037402124 0.0028641464 0.0029100252 0.0029537193 0.0028772545 0.0028750699 0.0035326658 0.0031852978 0.0029515345 0.00276365 0.0027177713 0.002955904 0.0029340568 0.004011116 0.0037686136 0.003043292 0.0029755663 0.0029668275 0.003014891 0.0029056557 0.0028466687 0.0031852978 0.0035785444 0.0030258144 0.0031481578 0.002962458 0.0034780481 0.0031416037 0.003030184 0.0030258144 0.003360074 0.0033841059 0.0031831132 0.003058585 0.0029493498 0.0029755663 0.0030083368 0.0027964206 0.0038013842 0.0033054566 0.0028991017 0.0028859933 0.003030184 0.0031328648 0.0032552083 0.003006152 0.0032333613 0.0027745736 0.0029253182 0.0029646428 0.004649049 0.0028794394 0.003027999 0.002881624 0.003095725 0.0029668275 0.002660969 0.0031590813 0.003080432 0.003080432 0.0034518316 0.002831376 0.0030869863 0.0031044637 0.002977751 0.0032661317 0.0034256151 0.0030192602 0.0028051594 0.0037533208 0.0029733817 0.0033950293 0.002704663 0.0028270064 0.0034278 0.002785497 0.0031656355 0.0025976126 0.0053459695 0.0031416037 0.0028794394 0.0030476614 0.0032071448 0.0028095287 0.0032421001 0.0029427956 0.0034365386 0.0034540163 0.0030782474 0.003545774 0.0031241262 0.0029471652 0.0036419008 0.0031219414 0.0040569943 0.003235546 0.003043292 0.0031416037 0.0030498463 0.0031459732 0.008673273 0.025668083 0.08290162 4.379204e-05 8.7584085e-06 3.284403e-06 2.1896021e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020823115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015984094 0.004161339 6.2403655e-05 4.269724e-05 2.5180423e-05 2.8464827e-05 2.8464827e-05 7.7730874e-05 2.7370024e-05 1.4232413e-05 4.3792043e-06 2.1896021e-06 0.0 2.1896021e-06 1.0948011e-06 1.0948011e-06 5.474005e-06 0.0019870638 5.0360846e-05 1.094801e-05 2.5180423e-05 3.284403e-06 1.7516817e-05 8.211008e-05 1.8611618e-05 3.284403e-06 3.284403e-06 7.663607e-06 1.3137612e-05 5.474005e-06 0.0 2.1896021e-06 1.2042811e-05 0.0034453387 1.5327214e-05 1.094801e-05 1.7516817e-05 4.488684e-05 2.6275224e-05 0.0002134862 0.0001083853 1.3137612e-05 1.0948011e-06 1.0948011e-06 0.0 4.3792043e-06 1.0948011e-06 5.474005e-05 0.0005265993 0.0017845257 8.977368e-05 4.9266044e-05 4.379204e-05 6.787766e-05 4.5981644e-05 4.488684e-05 2.7370024e-05 2.7370024e-05 1.4232413e-05 6.568806e-06 5.474005e-06 0.0 3.284403e-06 0.0 3.174923e-05 0.0015666602 9.853209e-06 1.3137612e-05 1.2042811e-05 9.196329e-05 4.488684e-05 0.00022005501 0.000116048905 9.853209e-06 2.1896021e-06 6.568806e-06 9.853209e-06 4.3792043e-06 6.568806e-06 7.663607e-06 0.000120428114 0.0041733813 9.3058086e-05 4.050764e-05 8.211008e-05 3.393883e-05 0.00012809172 0.00030873387 0.0001061957 9.853209e-05 4.379204e-05 5.8024452e-05 8.977368e-05 0.00023647702 3.0654428e-05 0.0001127645 0.0010904218 0.0041624336 0.00011385931 0.00012152291 7.663607e-05 0.0003174923 0.00016093574 0.0007357063 0.00027917424 0.00016422015 6.1308856e-05 4.269724e-05 3.284403e-05 3.8318034e-05 2.189602e-05 6.459326e-05 0.0003328195 0.009091227 0.00014341893 8.977368e-05 9.4152885e-05 0.00012371251 0.00014122933 0.00044011002 0.00029231186 0.00017297856 0.00047952283 0.00048499685 0.00057914975 0.0010849478 0.0007444647 0.000918538 0.005298837 0.02822616 0.0005265993 0.00071599986 0.00041930878 0.001100275 0.00088022003 0.0025946784 0.0013060976 0.0013017184 0.0022596694 0.002376813 0.0022870393 0.0026975896 0.0030172716 0.0026012473 0.019438192 0.023539316 0.0008440916 0.0024665867 0.00090102124 0.00415258 0.0010389661 0.0054258336 0.0011747215 0.004325559 0.0012951496 0.0011582995 0.0005802445 0.0017779568 0.00072256866 0.0030512104 0.005841858 0.00069519866 6.0214057e-05 5.0360846e-05 6.0214057e-05 6.6782864e-05 7.006727e-05 6.2403655e-05 8.8678884e-05 6.6782864e-05 5.8024452e-05 6.568806e-05 7.3351664e-05 6.2403655e-05 6.897246e-05 5.8024452e-05 0.0006349846 0.00073899067 6.6782864e-05 0.0001072905 4.9266044e-05 0.00015874614 6.897246e-05 0.00017078896 0.00010181649 0.0002058226 6.897246e-05 6.6782864e-05 4.5981644e-05 6.459326e-05 5.2550447e-05 8.3204875e-05 0.00019159018 0.0007357063 0.0003196819 0.00030544947 0.0011199814 0.00025837304 0.00035581033 0.00041821398 0.00028793266 0.00037223235 0.001144067 0.00030216508 0.001094801 0.00048061763 0.0003328195 0.0003273455 0.0011134127 0.045464896 0.04469525 0.04526236 0.04458139 0.045918144 0.04568933 0.045631304 0.04520871 0.044959098 0.04598164 0.045237176 0.045343373 0.044254046 0.04480911 0.043287337 0.045649916 1625.0 6.068923 9862.0 0.009531535 0.010748327 0.0097343335 0.008213344 0.008517542 0.009328737 0.010748327 0.00882174 0.0074021495 0.008720341 0.010241331 0.008010546 0.009937133 0.0105455285 0.010951126 0.009531535 0.011458122 0.008416142 0.0097343335 0.009632935 0.010849726 0.0073007504 0.007909146 0.0073007504 0.009328737 0.010646927 0.008517542 0.00882174 0.009125938 0.0105455285 0.009531535 0.009125938 0.0105455285 0.011559522 0.009328737 0.01176232 0.012269316 0.011153924 0.010342729 0.010038531 0.011356723 0.008314744 0.007807747 0.00882174 0.008923139 0.009632935 0.008720341 0.012573514 0.010038531 0.0105455285 0.009024539 0.01176232 0.008517542 0.008720341 0.010342729 0.0097343335 0.0097343335 0.010038531 0.009531535 0.009328737 0.008010546 0.009632935 0.008111944 0.010951126 0.010849726 0.011052525 0.012370716 0.012066518 0.014398702 0.020685459 0.010748327 0.010849726 0.011356723 0.013080511 0.013080511 0.01186372 0.017136484 0.010748327 0.012776313 0.014297303 0.009835733 0.009227337 0.014500101 0.0132833095 0.018556073 0.01166092 0.011458122 0.010038531 0.009937133 0.008010546 0.009632935 0.009632935 0.012269316 0.007909146 0.010444129 0.009835733 6.556013 0.0 0.0 0.0 8.0 457728.0 466944.0 0.0 0.0 46.0 0.0 1.0 0.0 0.0 0.0 1407152800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 1.0 5.0 1.0 385024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 4.0 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 -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 385024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69120.0 0.0 0.0 0.0 0.0 0.0 0.0 4.833035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2318949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.7174115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5114555 0.0 0.0 0.0 0.0 0.0 0.0 1336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -693.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384623.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68888.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 389320.0 68888.0 397312.0 0.0 0.0 0.0 0.0 0.0 0.0 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 389120.0 0.0 0.0 0.0 0.0


Input: 0.03317135 0.006922716 0.0052601327 0.0041224104 0.004202379 0.003950949 0.00423276 0.0036129146 0.0045858105 0.0033220237 0.0031093555 0.0030080848 0.0031131967 0.0030339262 0.0034306275 0.002968275 0.0044122534 0.0033216744 0.0045033973 0.0029867832 0.0033160872 0.0037176772 0.0033359919 0.0031138952 0.0031407843 0.0030636091 0.0030213548 0.003000053 0.003081768 0.0032218008 0.0031097047 0.0029728147 0.0033101505 0.00317361 0.0029710687 0.002849195 0.0029487193 0.0035308504 0.0028792268 0.0029452273 0.0029951641 0.0029654815 0.002874687 0.0029186874 0.0029707195 0.0029710687 0.0031816417 0.0029281161 0.0030038944 0.0031118 0.0029853864 0.0029808467 0.0029794497 0.0030859585 0.0029141477 0.0028390677 0.0029371956 0.003046498 0.002872941 0.002881322 0.0031882767 0.0028219565 0.0032979283 0.0029103064 0.0029588465 0.0032766266 0.0031900227 0.0036052319 0.0034005956 0.00301018 0.0032434517 0.0029944656 0.003008434 0.0031690702 0.0028652584 0.0029927196 0.0031278634 0.0032584677 0.0030237993 0.003000053 0.0031784987 0.0029103064 0.0031666257 0.0036080256 0.003220753 0.0030779266 0.0029284654 0.002955005 0.003008434 0.0029902752 0.0028757348 0.0030789743 0.0029274176 0.0029036715 0.0029791004 0.004237649 0.0029832912 0.005001718 0.0032532294 0.0038451385 0.0038580592 0.006764524 0.0031173872 0.0042813 0.0033408809 0.00466543 0.0029619893 0.0033607858 0.0045742863 0.0037529473 0.0049074315 0.00505829 0.0034634531 0.0028523377 0.0045390166 0.004782415 0.005727374 0.0036541212 0.003090149 0.0029937674 0.0030730378 0.0031533558 0.0029330049 0.0028551314 0.0029291636 0.0028596711 0.002944878 0.0028334805 0.03770687 0.023570199 0.0032130706 0.003060117 0.0029686242 0.0029937674 0.003297579 0.0029476718 0.0029326559 0.0029794497 0.0028065913 0.0066038882 0.0062229014 0.006175409 0.006190425 0.0061809965 0.0028722426 0.0030576726 0.0028718933 0.0028767823 0.0029330049 0.0028331312 0.0029169414 0.0028750363 0.0029539575 0.0029015762 0.0028429092 0.0029316081 0.0029410368 0.0028753856 0.0029137984 0.0028303375 0.0029623385 0.0029284654 0.0029710687 0.0028938935 0.0028652584 0.002859322 0.002887957 0.002881322 0.0029424336 0.002939989 0.009512099 0.009510353 0.009572862 0.0094883535 0.010853411 0.0061335037 0.0028617664 0.0029151954 0.0028816713 0.0028690998 0.0029200842 0.0029008777 0.0028202105 0.0028051946 0.002912751 0.0028855125 0.0028684014 0.002883068 0.0028876078 0.0028638616 0.0028582744 0.0028649094 0.002869798 0.0028949413 0.0028481472 0.0028621156 0.0029529098 0.0028931953 0.0028551314 0.0028366235 0.0029773545 0.0028579251 0.0029075127 0.0028362742 0.0028505917 0.0028883063 0.0029319574 0.002846052 0.0028788776 0.0029445288 0.0028086866 0.002909608 0.002841163 0.0028998302 0.0028338297 0.002868052 0.0029214812 0.0029302114 0.0029155444 0.00281602 0.0028607186 0.0028554806 0.0029392908 0.0028966872 0.0029106557 0.0029389416 0.057270948 0.0030094818 0.0028806236 0.002847798 0.0028533854 0.0028387187 0.0029661797 0.0028191628 0.0029050682 0.0027933214 0.0028931953 0.0028956397 0.002872941 0.0028373217 0.0028470997 0.0028715443 0.002834528 0.0028383695 0.0028816713 0.0029710687 0.002847449 0.0027933214 0.002946624 0.002912751 0.0029452273 0.0028516394 0.0030444027 0.0028282423 0.0029183382 0.0052067037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00029716152 2.6204718e-06 2.2710756e-06 1.9216793e-06 1.572283e-06 5.240944e-07 3.4939623e-07 6.9879246e-07 6.9879246e-07 1.3975849e-06 5.240944e-07 8.734906e-07 3.4939623e-07 2.4457738e-06 1.7469812e-06 0.00040040808 0.000744214 7.162623e-06 2.0963776e-06 2.148787e-05 2.969868e-06 2.4457738e-06 3.0222775e-05 1.2054171e-05 4.7168494e-05 5.0662456e-06 3.4939624e-06 2.7951698e-06 3.8433586e-06 5.4156417e-06 1.9216793e-06 0.00018098725 0.003973858 4.734319e-05 3.057217e-05 0.00012316217 7.2150324e-05 0.00016508973 0.00034048664 0.00010656585 0.039735086 4.297574e-05 0.021054618 4.5945606e-05 2.6204718e-05 4.192755e-05 0.03030663 0.00013067419 0.0018633301 2.1313172e-05 0.00027322787 0.00016439093 0.0011372848 0.0010441707 0.0062683434 0.0031732167 0.014831522 1.5373435e-05 0.007932867 1.8867397e-05 1.4499944e-05 1.5548132e-05 0.01137774 0.0005066246 0.0031248252 0.00023549306 0.0004007575 0.00028440854 0.0005731845 0.0005646243 0.0028828685 0.0012721517 0.0058560558 4.64697e-05 0.0030942531 0.00010132491 9.957793e-05 8.071053e-05 0.0044071097 0.00058978086 0.01222188 0.0026437067 0.0011696039 0.00064725656 0.00096608064 0.00084379193 0.0030205306 0.0015249399 0.0067291968 0.0004650464 0.0030598375 0.00038730574 0.00037612507 0.0003616251 0.0042269956 0.0010698513 0.015820662 0.004212496 0.0013065672 0.0010163937 0.0015335002 0.0015315785 0.0052219015 0.0025132073 0.005716821 0.0007809006 0.002906802 0.00048670897 0.00064778066 0.00067416 0.004009846 0.00063677464 0.00677357 0.001331025 0.0005403413 0.0006746841 0.0010226828 0.0010261767 0.0030692713 0.0014996086 0.0022768406 0.00051640766 0.0012953866 0.00035655886 0.000336818 0.00035219142 0.001579271 0.00024719784 0.002081004 0.00018395712 0.00024422797 0.00015949938 0.00020631848 0.00029209527 0.00013399345 0.00014325246 0.00013801151 0.00018937276 0.0001390597 0.0001671861 0.00018692699 0.00018360773 0.0001020237 0.000100626115 0.00027777 9.783095e-05 5.8174475e-05 4.0355266e-05 5.9047965e-05 6.51624e-05 7.791536e-05 4.6120305e-05 8.38551e-05 2.3758945e-05 4.5770907e-05 2.8126398e-05 2.8999888e-05 2.0963775e-05 7.0752736e-05 4.8740774e-05 8.140932e-05 5.8174475e-05 3.4066135e-05 1.764451e-05 1.2054171e-05 2.1138472e-05 1.7819208e-05 9.084302e-06 1.0831283e-05 1.2054171e-05 9.957793e-06 9.957793e-06 1.0831283e-05 1.2054171e-05 1.1005982e-05 2.969868e-05 0.04436354 0.044503473 0.04435935 0.04472621 0.04455955 0.044515878 0.04468149 0.044404592 0.0444881 0.04435323 0.044704203 0.044416647 0.044400927 0.044394113 0.044491418 0.044622965 15405.0 10.222395 157476.0 0.006051716 0.0036386496 0.0039498084 0.0035624476 0.0037402525 0.0035116463 0.0032893901 0.0035687978 0.003537047 0.0035687978 0.0036195992 0.0039498084 0.0034417943 0.0038418553 0.008801341 0.003537047 0.0043943203 0.006235871 0.0052388934 0.004527674 0.0047689807 0.004203815 0.0035179963 0.004089512 0.004273667 0.0044006705 0.00365135 0.0036767507 0.009271254 0.0035560974 0.009182352 0.003537047 0.0035941985 0.00875689 0.008490182 0.016561253 0.011728771 0.006483528 0.010350783 0.0058167595 0.005029338 0.007550357 0.0038736062 0.0040704617 0.008096471 0.00875054 0.006051716 0.0059755137 0.0092776045 0.0035306967 0.009379207 0.017494729 0.009595113 0.005188092 0.005550052 0.0048578833 0.004184765 0.0036958014 0.0035497472 0.0036640505 0.0038545555 0.0037402525 0.003352892 0.028867891 0.003835505 0.04127613 0.011436664 0.021565191 0.020593613 0.07414463 0.0075821076 0.028937742 0.011176306 0.034043282 0.003835505 0.012516193 0.033014555 0.017424878 0.038386803 0.04304783 0.014351393 0.0039625084 0.033332065 0.03715487 0.05444639 0.017437577 0.0074614543 0.0064263763 0.00657243 0.008947395 0.0044451216 0.0032766897 0.0035560974 0.0035878483 0.0036640505 0.0034608447 5.9212623 0.0 1.0 0.0 23.0 2863616.0 2899968.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541710300.0 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 -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 8.0 0.0 4.0 0.0 4.0 0.0 804864.0 1024.0 4096.0 5.0 0.0 1.0 3.0 1.0 512.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -804352.0 2038272.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2169173 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.238741 7.999912 3.940433 0.0 0.0 0.0 0.0 0.0 0.0 16.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -804000.0 2038136.0 18632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2050220.0 18632.0 2859008.0 0.0 0.0 0.0 0.0 12.0 2883584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 2891776.0 0.0 0.0 72.0 2048000.0


Input: 0.05669381 0.008297995 0.0061724815 0.005647318 0.005755044 0.0049636737 0.004191984 0.005422544 0.0050517186 0.005629709 0.0037445074 0.004466478 0.0049471003 0.0031758395 0.0043183547 0.004648783 0.0050413604 0.0037662599 0.0049243122 0.0041526225 0.004357716 0.0031737678 0.0041101538 0.0038418751 0.0050713993 0.0033426075 0.0031727322 0.0029355283 0.004151587 0.003439975 0.003788012 0.0037973346 0.006168338 0.0038149436 0.0034814079 0.00301943 0.004882879 0.0041629807 0.0038387675 0.003718612 0.004730613 0.0038926306 0.0033343208 0.0030981528 0.0043722177 0.0037206835 0.003723791 0.0035839546 0.005513697 0.0039578876 0.0031012602 0.0028961669 0.0036751071 0.0030691496 0.0026858943 0.0028650921 0.004179554 0.0033125684 0.0035218052 0.0033477866 0.004003464 0.0032245233 0.0035041962 0.003462763 0.006601313 0.003960995 0.003618137 0.00322038 0.004151587 0.0032131292 0.0035414859 0.0030650063 0.0049999277 0.003789048 0.0037030745 0.0035849905 0.004133978 0.003132335 0.003558059 0.0034741573 0.0051770536 0.0036305669 0.0036481759 0.0033301776 0.003924741 0.0033840404 0.0033612524 0.0035394141 0.0046436037 0.0036481759 0.0038056213 0.0035124826 0.0041101538 0.0033964703 0.0036958237 0.003788012 0.0059104175 0.0036274593 0.0033467507 0.0029541731 0.0040179654 0.0030505047 0.003261813 0.0030339316 0.0049698884 0.0031768754 0.0032048428 0.0030556838 0.0035787756 0.0028412682 0.0030888303 0.0031872336 0.0044975523 0.003291852 0.0032255591 0.0031458007 0.0038884871 0.0033426075 0.0032897803 0.003623316 0.0046249586 0.0032949594 0.003475193 0.0031810186 0.004039718 0.0031944844 0.0034762288 0.0033405358 0.008655354 0.0046083857 0.0040169293 0.0035269842 0.00436911 0.003438939 0.0030173582 0.0033819687 0.004535878 0.003830481 0.0029541731 0.0031882694 0.003723791 0.002800871 0.0028412682 0.0029862835 0.0052423105 0.003202771 0.0034896946 0.0030328957 0.003669928 0.0031965561 0.0033073893 0.0032587056 0.0045462362 0.0028350533 0.003037039 0.00269936 0.0035155902 0.0032276309 0.0029924985 0.0031561588 0.0050040707 0.0034130435 0.0032835654 0.0028019068 0.003770403 0.0030101077 0.0030515406 0.0031872336 0.0041401926 0.0029987134 0.003132335 0.00301943 0.003652319 0.0028433397 0.0029148117 0.003037039 0.0046622483 0.0031178333 0.0038387675 0.002853698 0.003564274 0.0031520156 0.002990427 0.0031230126 0.004244811 0.003143729 0.0033260342 0.0031623738 0.003641961 0.003179983 0.003315676 0.003350894 0.006724576 0.0040697567 0.003731042 0.0033405358 0.0041225837 0.0032576697 0.0032959953 0.0032297026 0.00433182 0.0033249983 0.00311369 0.0030836512 0.0036492117 0.0029873194 0.003079508 0.0028091576 0.004245847 0.0032763146 0.0030805436 0.0029924985 0.0037051463 0.0030204658 0.0029396715 0.0029479582 0.0039806757 0.0031126542 0.0027356138 0.0026372105 0.003535271 0.0029458865 0.0035787756 0.002877522 0.0049460647 0.0032359175 0.0033933627 0.0029769612 0.0038180512 0.0030722572 0.003191377 0.002907561 0.00443851 0.005452583 0.0034669065 0.0031302632 0.003782833 0.0030691496 0.0032410966 0.003185162 0.0046177083 0.0033249983 0.0034244375 0.003042218 0.0037465792 0.0030898661 0.0033084252 0.0032483474 0.0043483935 0.0030391107 0.0031841262 0.0028650921 0.0040055355 0.0030877944 0.00422513 0.0045161974 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09921553 0.06202521 0.0624258 0.055315364 0.06061537 0.059568238 0.054961476 0.054472677 0.060467485 0.05317025 0.05214854 0.052895233 0.05645486 0.050544634 0.056618314 0.053840663 4021.0 5.7035565 22934.0 0.017092526 0.010421209 0.009418331 0.008589867 0.013429842 0.012557775 0.01172931 0.011554897 0.012601377 0.009767158 0.008502659 0.00863347 0.01390948 0.010508415 0.0118165165 0.009897968 0.0167437 0.01186012 0.008677074 0.007499782 0.009810762 0.008459057 0.0078050056 0.00837185 0.010246796 0.008415453 0.009679951 0.008851487 0.011554897 0.009069504 0.009679951 0.009243918 0.018095404 0.010944449 0.010334002 0.009113107 0.0108136395 0.00889509 0.010639226 0.008328246 0.014214703 0.0115985 0.009767158 0.008982297 0.011424086 0.009418331 0.011642103 0.009636348 0.01482515 0.0095927445 0.009941571 0.008982297 0.012078137 0.009461935 0.009549141 0.009854365 0.013647859 0.009200314 0.010639226 0.009549141 0.011162466 0.009810762 0.010377605 0.010682829 0.017920991 0.010988053 0.009723554 0.0081538325 0.013124619 0.00824104 0.0093747275 0.008328246 0.015479201 0.00928752 0.008938693 0.008677074 0.01133688 0.0079358155 0.009897968 0.007892213 0.013168222 0.0079358155 0.008807884 0.008720676 0.01146769 0.009461935 0.008197436 0.007892213 0.011031656 0.00889509 0.011903724 0.00863347 0.01120607 0.009069504 0.009941571 0.00876428 6.5546117 0.0 0.0 0.0 14.0 965414.0 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