Input: 0.15388536 0.01340508 0.0091381725 0.021727733 0.014417196 0.003702598 0.0039938544 0.00345503 0.014664764 0.0018385565 0.0017766645 0.0017657424 0.008362702 0.0018676822 0.0014198753 0.008450079 0.028262801 0.0011541038 0.0010594454 0.0013215763 0.0039356034 0.0030509117 0.0013361392 0.0009320207 0.003181977 0.0013215763 0.0008992544 0.0011541038 0.0026176677 0.00076818897 0.00076454825 0.0011941516 0.0055083884 0.0011031339 0.0010303198 0.001263325 0.004274189 0.0010048349 0.0005242617 0.0008774102 0.0023737403 0.0006334828 0.00057159085 0.0019477777 0.0019878254 0.0024501951 0.0013434205 0.00067717134 0.0047001513 0.0025412128 0.002898002 0.008158823 0.0034149822 0.0022681598 0.0017511796 0.0017657424 0.003047271 0.003109163 0.0022426748 0.005992602 0.0037098795 0.0025776199 0.001980544 0.0030763966 0.0054537775 0.0036079397 0.0019186521 0.0024319915 0.0022972855 0.01129347 0.00438341 0.002417429 0.002563057 0.0013033728 0.0011359003 0.0009647871 0.0015436594 0.0056940643 0.002031514 0.0014053126 0.007576309 0.0028761576 0.0012596843 0.0038700704 0.0021807828 0.0069646705 0.006939186 0.004627337 0.0017657424 0.00510427 0.0008956137 0.0022827226 0.0012560436 0.006418565 0.0047766063 0.004052106 0.0013761868 0.0038700704 0.0011395409 0.003567892 0.0036443467 0.0071139396 0.0035460477 0.0013943904 0.0041285604 0.0033858565 0.0057268306 0.0013215763 0.0033239645 0.0016346769 0.0035460477 0.0043506436 0.003243869 0.0007281412 0.0057559563 0.004259626 0.013721821 0.014650201 0.002417429 0.0016565212 0.0022353935 0.0018931672 0.00092109863 0.00074634474 0.0015946293 0.0029526125 0.002067921 0.0016892876 0.0029999418 0.0017803053 0.0009065358 0.013998515 0.0036479875 0.008555659 0.0015509408 0.0011795887 0.0022863634 0.012505825 0.0018167123 0.045155678 0.0011395409 0.0092692375 0.00081551814 0.0007026563 0.001794868 0.0005388245 0.00051333953 0.000990272 0.0012451215 0.0008592066 0.0005424652 0.000495136 0.0009975535 0.00057523156 0.00055338733 0.0006553271 0.0014999709 0.0005606687 0.00051698025 0.00053518376 0.0016892876 0.0014635638 0.00051333953 0.001077649 0.0010048349 0.00074634474 0.0004223219 0.0003786334 0.0014235161 0.0004842139 0.00046601036 0.0005643094 0.0011249782 0.0004186812 0.00040411836 0.00046601036 0.0019150113 0.0008410031 0.00050605816 0.00063712354 0.0010740083 0.0006043572 0.0009174579 0.001015757 0.0023045668 0.0007754704 0.00069173414 0.0006844527 0.0010667269 0.0007317819 0.0009028951 0.00064440496 0.009291082 0.0038846333 0.004321518 0.006491379 0.0030618338 0.0008555659 0.0032802762 0.0041649677 0.0033385274 0.0026103861 0.0008373624 0.0012451215 0.006130949 0.0008410031 0.0032402284 0.0026649968 0.0021953457 0.0012924506 0.0017511796 0.0010193976 0.00123784 0.00045508824 0.001758461 0.0007390633 0.0024065066 0.0018749636 0.0007245005 0.001944137 0.0015254559 0.0016565212 0.00057523156 0.00070993765 0.0037572086 0.0009611464 0.00064440496 0.0006079979 0.0021735015 0.002315489 0.00081551814 0.0007863925 0.02052266 0.0026431526 0.0006516864 0.005796004 0.0076855305 0.00058615365 0.0007754704 0.00076090754 0.0055193105 0.0023227704 0.0010339605 0.0011613852 0.0031346478 0.0005461059 0.0031892585 0.0022608784 0.005635813 0.0019295742 0.0010849304 0.0009174579 0.0060508535 0.0031528515 0.0052462574 0.05353294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0057551353 0.00028345914 0.00018470564 6.217814e-05 0.00013715765 9.509597e-05 0.00011521243 0.00010058228 6.766444e-05 0.000102411046 0.00010058228 5.1205523e-05 5.4863063e-05 0.00011338366 0.00010789736 0.00015910288 0.04163192 0.004414648 0.0014886177 0.00044621958 0.0011411516 0.0005211991 0.002680975 0.0015581109 0.001003994 0.0014904465 0.000513884 0.00051022647 0.00045170588 0.00029626052 0.0010972612 0.0044237915 0.013655416 0.0011813845 0.0005724046 0.00029260298 0.00067115814 0.00027065777 0.0011448092 0.00083208975 0.00014264396 0.0002633427 0.00025419885 0.00016824673 0.00038404143 0.00041147295 0.00025968516 0.0019677551 0.02467192 0.003337503 0.0024523789 0.0007132198 0.0038257842 0.0022676731 0.012794066 0.0068505676 0.00033649345 0.00041695926 0.00048096618 0.00022128102 0.00032917838 0.00022493856 0.0002505413 0.00075162394 0.0086226445 0.0016952686 0.0009765625 0.00054497307 0.00182694 0.0013532889 0.006230615 0.0035258662 0.00024322624 0.00031271947 0.00012618504 0.00011521243 0.00012618504 8.412336e-05 0.00018470564 0.00024871255 0.012245435 0.0029150574 0.0022951048 0.022402417 0.0020683375 0.0022475568 0.005802683 0.0037288594 0.0017537893 0.001439241 0.0014483848 0.0013971793 0.00206468 0.0020134745 0.001660522 0.0019330085 0.013953505 0.00268829 0.0016074877 0.0011576106 0.0014611862 0.0020463923 0.002980893 0.0023024199 0.004617641 0.00094364467 0.00067664444 0.0010241105 0.003099763 0.0007881993 0.0013386587 0.0042573735 0.072088234 0.016402226 0.0065890537 0.0122874975 0.016296158 0.024421377 0.00843611 0.017872557 0.04608863 0.0033228728 0.003898935 0.005162614 0.02363135 0.006239759 0.020862594 0.03849741 0.06917318 0.019359346 0.0105904 0.014617348 0.022246972 0.029113999 0.012047929 0.02309735 0.053787746 0.0039995173 0.004506086 0.0060660257 0.025632022 0.010994557 0.02511631 0.044183053 0.0014922753 0.0007241924 0.0007095623 0.0007150486 0.00071139104 0.0006071512 0.0008046582 0.00069858966 0.0005833772 0.00053400046 0.00061263755 0.00053948676 0.0006162951 0.00064189784 0.0006510417 0.0005943498 1299.0 15.817552 20547.0 0.032316152 0.0029688033 0.0009247092 0.0012167227 0.0065216334 0.0029201342 0.00043802016 0.0033581546 0.004282864 0.0009247092 0.0008273714 0.0013627294 0.003601499 0.0023847765 0.011339855 0.002579452 0.0143573275 0.010269139 0.0113885235 0.009733781 0.011534531 0.009149754 0.006862316 0.007154329 0.011485862 0.009490437 0.010074464 0.011875213 0.013870638 0.009733781 0.008225045 0.012945929 0.023215069 0.010950504 0.0028714654 0.01245924 0.0054509174 0.0049155597 0.009685112 0.0052562417 0.0049155597 0.0043802015 0.001022047 0.0011193848 0.0065216334 0.0039421814 0.0027254587 0.0039421814 0.010901835 0.0023847765 0.004623546 0.009539106 0.009441768 0.00311481 0.01022047 0.005742931 0.0042341948 0.0017520806 0.0012167227 0.0019467563 0.0028227966 0.0014113983 0.0016547428 0.0121185575 0.004769553 0.03650168 0.0068136468 0.03246216 0.024626466 0.067893125 0.007056991 0.009539106 0.010999173 0.033143524 0.0026767899 0.0053535798 0.029055336 0.012069888 0.034992944 0.043412663 0.015428043 0.001070716 0.051394366 0.026475884 0.049982965 0.019029543 0.007787025 0.0030661412 0.008565728 0.011485862 0.0018980873 0.00058402686 0.0037475058 0.0008273714 0.0028227966 0.0018494184 5.8526683 0.0 11.0 0.0 4.0 274672.0 286720.0 1.0 1.0 135.0 1.0 1.0 1.0 0.0 0.0 1545985000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 189440.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192512.0 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 -6.570324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1789603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5300517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.451302 0.0 4.8649607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54902.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -191710.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88.0 248048.0 100.0 248136.0 480.0 270336.0 0.0 0.0 5360.0 269312.0 12168.0 274432.0 56.0 230112.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 230168.0 0.0 0.0 556.0 196608.0 0.0 0.0 0.0 0.0


Input: 0.11572764 0.00514534 0.0024864932 0.002253624 0.0039373306 0.0011674109 0.0016890689 0.0011160877 0.0029438057 0.0013152523 0.0020513951 0.001568038 0.0019357265 0.0015695702 0.0011222158 0.0014546674 0.0025278581 0.00067179743 0.0006296665 0.0012815475 0.0011022993 0.0014324529 0.0005408084 0.0007215886 0.00065800914 0.0004121175 0.0004052233 0.0004044573 0.00076678366 0.00050250755 0.00047110082 0.00036615643 0.008508923 0.00039832917 0.0007522293 0.0004006272 0.0014822441 0.00061817624 0.00033168562 0.0007438031 0.0014416452 0.0012371185 0.0007277167 0.0011053635 0.0011084275 0.00045041836 0.0015734002 0.00092764734 0.0018231219 0.0010080792 0.0012103078 0.0013504891 0.0012080098 0.0013435949 0.0010716587 0.0011130236 0.0006388587 0.0010908091 0.00090236875 0.00088704843 0.0009337755 0.0014048764 0.00048488914 0.00043126792 0.0040675537 0.00096748024 0.0006128141 0.0014814781 0.0012302243 0.0019418547 0.0007506973 0.0007131624 0.0010218675 0.0010226335 0.00039066898 0.00043663004 0.0006380927 0.0011505585 0.00080585055 0.00057681126 0.0019433867 0.00097054435 0.0018438044 0.0015956147 0.029537639 0.3720448 0.0011199177 0.001047146 0.00044735428 0.0006128141 0.0005477026 0.00044046013 0.0008556417 0.0006227723 0.00065724313 0.0016928989 0.0010762548 0.0029782765 0.0014301549 0.002782176 0.0029721484 0.005163725 0.0016201272 0.0009084969 0.0015711022 0.0037680406 0.0018637208 0.00053314824 0.002262816 0.0020552252 0.0029491677 0.0032310623 0.0019724953 0.00027193627 0.0035742382 0.0041204086 0.0065004257 0.0027545993 0.0008518116 0.0011000013 0.000826533 0.00089317653 0.00032555748 0.00035390013 0.0013428289 0.0010027171 0.00042896986 0.0004825911 0.0019839855 0.00084108737 0.0006786916 0.0018177598 0.0007032042 0.0012754194 0.0005883015 0.00027576633 0.00040675537 0.0015734002 0.0003967971 0.0035045305 0.0005162959 0.0018506986 0.0002688722 0.0006204743 0.0014592636 0.00044505624 0.0002527858 0.00021754901 0.000523956 0.0002995129 0.00046037658 0.0002995129 0.0003355157 0.00031253518 0.00026734016 0.00022367714 0.0002949168 0.00059289765 0.00022061307 0.00039373306 0.00044199216 0.0004259058 0.00026427608 0.0004251398 0.00033168562 0.0004006272 0.0002573819 0.00020069661 0.00044582225 0.00022903927 0.00024589166 0.00035849624 0.00045578048 0.00035849624 0.00021678298 0.00032019537 0.0012677591 0.00022827325 0.00029874686 0.00025814795 0.00041901163 0.00045578048 0.0003967971 0.00023286935 0.0005094017 0.00022520918 0.00026351007 0.00028419253 0.0003607943 0.0003646244 0.0009858647 0.00042743783 0.0021249328 0.0011344721 0.0012202661 0.0010540403 0.00089394255 0.0011053635 0.0010249316 0.0010073131 0.0007438031 0.0005829394 0.00025508387 0.00054157444 0.0012179681 0.0007338449 0.00078133796 0.0002566159 0.0012769514 0.00090313476 0.0007614215 0.00074150506 0.00094526575 0.0009697783 0.0010172714 0.0009467978 0.0008824523 0.000783636 0.0007338449 0.0009077309 0.0007928282 0.0007361429 0.0007422711 0.00076678366 0.0004979115 0.00022061307 0.00021601697 0.00019150441 0.00044812032 0.00022061307 0.0002389975 0.00024512564 0.0017304338 0.0003393458 0.0004082874 0.0012302243 0.0007859341 0.0002864906 0.0006480509 0.00029644882 0.00061894226 0.00036692244 0.00020912281 0.00040139322 0.00048488914 0.00037841272 0.0004917833 0.00041977764 0.0011145556 0.0003133012 0.00060668594 0.0002949168 0.0007453351 0.00051859394 0.00064268877 0.22270048 0.014117964 7.6713474e-07 8.054914e-06 1.5342695e-06 1.1507021e-06 6.520645e-06 1.1507021e-06 1.1507021e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.5342695e-06 0.20581304 0.004515355 1.1507021e-06 2.8383985e-05 2.6466148e-05 2.4931878e-05 1.304129e-05 8.5535525e-05 4.065814e-05 7.6713474e-07 0.0 1.1507021e-06 1.5342695e-06 1.5342695e-06 7.6713474e-07 7.6713474e-07 0.0007567784 4.794592e-05 2.3014043e-06 1.9178367e-06 2.6849716e-06 6.9042126e-06 7.671347e-06 7.671347e-06 1.0739886e-05 1.1123453e-05 3.4521063e-06 1.9178367e-06 3.068539e-06 2.3014043e-06 2.3014043e-06 1.1507021e-06 0.0014579395 0.009955491 0.002363542 0.005085336 0.0050680754 0.0018656716 0.39485422 0.0051436382 0.0018292328 0.0019354809 0.0017682455 0.001810438 0.0018138901 0.0071458598 0.009774447 0.001851096 0.0017809032 0.0016439697 4.065814e-05 5.9069374e-05 0.00034444348 4.5644516e-05 0.004063129 0.00010087821 7.0576396e-05 2.3014041e-05 3.452106e-05 3.490463e-05 3.6438898e-05 2.6849715e-05 2.761685e-05 4.4110246e-05 0.0012596352 0.0020390442 2.3014041e-05 0.00012120729 6.482288e-05 3.3753928e-05 0.00064324244 0.00020866064 0.0001116181 3.337036e-05 9.205617e-06 8.8220495e-06 8.438482e-06 2.2246906e-05 4.9863756e-06 8.438482e-06 0.0005868581 0.003658849 6.942569e-05 0.00017068748 9.013833e-05 8.93712e-05 7.364494e-05 0.0002408803 0.00013616642 8.591909e-05 3.75896e-05 2.7233282e-05 2.9534687e-05 8.706979e-05 3.6438898e-05 9.780968e-05 0.0005680633 0.0072570946 0.00024241458 0.0037420832 0.00026619574 0.0004203898 0.0006597359 0.005196187 0.0029565373 0.00018718088 0.0001235087 0.00010164535 8.706979e-05 0.0001633997 7.211066e-05 0.00017605742 0.0019147682 0.02041077 0.0008614923 0.0028851938 0.00097042543 0.0012903207 0.0024805302 0.0046845083 0.003078128 0.001013385 0.00038740304 0.00026964786 0.00039047157 0.00038164953 0.00026657933 0.00024011316 0.0028088638 0.02590077 0.001528516 0.0031636637 0.0012201278 0.0019427687 0.0027751098 0.009068299 0.0068838834 0.0011978808 0.00032948435 0.00017298888 0.00045797942 0.0003877866 0.00027693564 0.0001867973 0.0010663173 0.034007084 0.002133018 0.0031694171 0.0018568496 0.003954963 0.002816535 0.006809855 0.0052744346 0.0023620077 0.0013187046 0.00072992867 0.0022427184 0.0016880799 0.0012055523 0.0008614923 0.0010540431 0.004579027 0.0003559505 0.00034444348 0.0018035338 0.0007575455 0.0011852231 0.0012055523 0.00094511 0.0006390232 0.0003735946 0.00024931878 0.00020827708 0.00024011316 0.00020175643 0.000498254 0.00055310415 0.0024820643 0.00031912804 0.00034405992 0.001087797 0.0004088828 0.00045337662 0.0003478956 0.0003923894 0.00051052816 0.00016915321 0.00018948228 0.00016033115 0.00039699223 0.00017107105 0.00041156777 0.00079628587 0.0072774235 0.0016938335 0.00084499887 0.0011169482 0.0025917646 0.0029235503 0.0010559609 0.001967317 0.0037815906 0.0003417585 0.00040082788 0.00033945712 0.0017728483 0.0004514588 0.0014874742 0.0033746257 0.008389002 0.0028828923 0.0013904317 0.002439105 0.004084609 0.0032576376 0.0022565268 0.0025748876 0.005236078 0.0014897756 0.001118866 0.0010003437 0.0021475935 0.0012389226 0.0019343302 0.006477302 0.0008634101 0.00035479982 0.0004196227 0.0005254873 0.0002688807 0.00032181302 0.0006908048 0.0004928841 0.0002608258 0.00017682456 0.00022170194 0.00016531753 0.00019561936 0.00016033115 0.00016838608 0.00021211275 35956.0 17.506786 629474.0 0.015870394 0.00036697305 0.0010389627 0.00036697305 0.00034632089 0.0007101167 0.0003002507 0.0010437286 0.001930183 0.0017586112 0.0011533439 0.0014154675 0.001801504 0.00060526724 0.002749915 0.0015822734 0.002079514 0.0011374577 0.001601337 0.001148578 0.0016871229 0.0015250829 0.0015632099 0.0015203169 0.0005385449 0.00054807664 0.0010723239 0.000478177 0.0008244979 0.0021446478 0.00051471544 0.0005623743 0.0009214042 0.00120418 0.00041780915 0.0013693973 0.0010341968 0.0011962368 0.00067198963 0.0006433943 0.00047976564 0.0008800999 0.0002891303 0.00037332758 0.0007005849 0.0008689795 0.00066245784 0.0005957355 0.0008435614 0.00036697305 0.0011183941 0.0011676416 0.060259838 0.7700429 0.0005957355 0.00063862844 0.0004146319 0.00039397975 0.00040510015 0.00046387938 0.0009913038 0.00045752485 0.00030978245 0.0019142966 0.001477424 0.005704763 0.0027308515 0.0050327736 0.003698326 0.009541299 0.0026784267 0.0014440628 0.0018682264 0.0067913844 0.0006433943 0.00064816023 0.0038222389 0.003731687 0.005394981 0.0059382915 0.0034219048 0.00030978245 0.0063815187 0.006953425 0.00823227 0.0023257514 0.0010056015 0.0009341132 0.0010913874 0.0014297651 0.00037173895 0.00041939778 0.00032566872 0.000409866 0.0002954848 0.0002668895 1.9488798 90.0 24.0 0.0 12.0 1305453.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.12741518 0.014612119 0.013827237 0.0027137946 0.010988345 0.0014325607 0.0064586294 0.004513575 0.0028045906 0.0023949994 0.023159059 0.0017654797 0.0019147889 0.0012227208 0.0011722785 0.0011521017 0.00094024406 0.0026815115 0.0023627162 0.0018078513 0.0014951092 0.0011864024 0.002842927 0.0016161706 0.0012731631 0.0013619415 0.0010189341 0.0010572701 0.0013094816 0.0010249871 0.000960421 0.0025584323 0.08573573 0.00064969657 0.0030023244 0.0010330578 0.000934191 0.00085550104 0.000934191 0.0015273922 0.0057504196 0.0023324508 0.0018381166 0.001436596 0.0020217265 0.031758457 0.0037064985 0.0012449154 0.0054396954 0.0054941727 0.0037266754 0.0017533735 0.0014910738 0.0014910738 0.0012590393 0.0013357116 0.003795277 0.0016202059 0.0016080998 0.00085550104 0.0009745448 0.0015576575 0.003978887 0.0014466845 0.001097624 0.0018764527 0.0011682431 0.002522114 0.0016343298 0.0026956354 0.0011218362 0.0011601724 0.0010794648 0.003246465 0.0017977628 0.0009019079 0.001325623 0.0031213681 0.0018703997 0.0019087358 0.001704949 0.0017412674 0.0018058335 0.003676233 0.0037529054 0.001156137 0.0012691277 0.0011803493 0.0011379778 0.0011056947 0.0010613055 0.0019450543 0.0016242414 0.0024091231 0.0016040645 0.002729936 0.0006940857 0.0034603402 0.0015637106 0.0025362377 0.0019369834 0.008280604 0.0013558884 0.0015616929 0.0011541193 0.0047778925 0.0014022953 0.0016888075 0.0042896112 0.0039304625 0.0040918775 0.017140286 0.0063456385 0.0012005263 0.008425878 0.006032896 0.0076732794 0.003337261 0.0012287739 0.0013901892 0.0014850206 0.0015193215 0.00090594334 0.00852878 0.0013094816 0.001991461 0.0011440308 0.001430543 0.008613523 0.0032969073 0.0038558077 0.0033231373 0.0083128875 0.0029760944 0.0013215877 0.00073645724 0.005286351 0.0022497256 0.0039405506 0.0045801587 0.0038215069 0.002122611 0.0010048102 0.0021347173 0.004618495 0.002221478 0.0022678848 0.0026149277 0.0035128002 0.0067168935 0.0018461874 0.003579384 0.007269741 0.0022820088 0.0040333644 0.0017977628 0.0084178075 0.009117946 0.0055284738 0.0018905766 0.00796988 0.005532509 0.0026694054 0.0020237442 0.0056091812 0.0022376194 0.0031859344 0.0026936177 0.0033433142 0.0038739669 0.0023223625 0.0007949703 0.007895226 0.0024151762 0.0014144015 0.0009947218 0.010883426 0.0037226402 0.00572419 0.0059804367 0.0067068054 0.0019733019 0.003042678 0.0020035673 0.005885605 0.0023405217 0.00089787255 0.0007525988 0.004408655 0.0035632425 0.0007727757 0.0009785802 0.001123854 0.00093822635 0.0013054461 0.00073040416 0.00093822635 0.0010270048 0.0010895532 0.001515286 0.0016161706 0.0009987571 0.0007848818 0.0006577673 0.0007768111 0.0009321733 0.0008696249 0.00094831485 0.000770758 0.00081312953 0.0008877841 0.0009039256 0.0011157832 0.00085550104 0.001521339 0.00080707646 0.00072031573 0.00081312953 0.0008635718 0.0009180495 0.0009019079 0.0009019079 0.00096445635 0.00069812115 0.0008433949 0.00074049266 0.00089585484 0.0008857664 0.0009987571 0.0007727757 0.00076268724 0.00082725333 0.000744528 0.0010048102 0.012759878 0.026940212 0.03684304 0.0114947865 0.0012489508 0.00090594334 0.0009281379 0.0023889462 0.0009684917 0.0010027925 0.0009543679 0.0010370932 0.0008191826 0.0007768111 0.0010835001 0.0010169164 0.0008353241 0.0014971268 0.0019450543 0.0019188243 0.0030628552 0.012600481 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013789143 0.0 0.0 0.0 0.0 0.0003457395 0.0 0.0 0.0 0.00017286975 0.00017286975 0.0 0.0 0.0 0.0 0.0 0.0027082928 1.6174949e-05 1.6174949e-05 1.6174949e-05 1.6174949e-05 0.0005489373 1.5164014e-05 0.00038112223 4.043737e-05 0.00016276042 0.0001566948 1.8196817e-05 2.2240554e-05 1.5164014e-05 6.0656057e-06 1.0109343e-06 0.037664376 0.0018489988 0.0018115942 0.0012100883 0.0013880128 0.0007824631 0.0060049496 0.005257869 0.00021229619 0.0018115942 0.00054388266 0.0011201152 0.00014860733 0.00013142146 0.0004953578 0.0016801727 0.05610281 0.0038708672 0.00486967 0.003011573 0.0054378156 0.005135546 0.014021658 0.012640722 0.0012343507 0.0010119452 0.0012535584 0.0005216421 0.00047716097 0.00044885481 0.000661151 0.0073130983 0.057981122 0.006186918 0.010021391 0.0025778823 0.0022655036 0.002812419 0.0069350093 0.009862674 0.0038304299 0.0033128315 0.0025940572 0.0022705584 0.0010837215 0.000753146 0.0033118206 0.0042833285 0.016572246 0.0012495148 0.08935244 0.012482005 0.0023807501 0.00218564 0.003383597 0.0024909421 0.027252765 0.03445365 0.02395712 0.028750971 0.00040942838 0.00027800692 0.055805594 0.0012727663 0.011711674 0.00068945717 0.025261225 0.006057518 0.0021280167 0.0020602841 0.003460428 0.00287813 0.009628138 0.012290939 0.008756713 0.010736122 0.0006318339 0.00034371766 0.019868903 0.0015093249 0.009213655 0.0006874353 0.0013111817 0.0009573547 0.0034685154 0.003630265 0.012156485 0.007029026 0.0037910035 0.0039557857 0.0038668236 0.0042206505 0.0011474104 0.0006864244 0.007124054 0.0009361251 0.008676848 0.0006267792 0.0010412623 0.0005489373 0.0010675465 0.0013475753 0.0031318744 0.0024282641 0.0007480914 0.00029721466 0.0012201976 0.0016225495 0.002138126 0.00081380206 0.0003184443 0.0008876003 0.0019116767 0.00037202382 0.0013121926 0.0006672166 0.0005681451 0.0007450585 0.00096948596 0.0007703319 0.0006732822 0.00045289856 0.0007400039 0.00054186076 0.00039628622 0.0003861769 0.0005974622 0.0013182582 0.012398098 0.009948604 0.0100062275 0.010369153 0.009833357 0.010331748 0.009879861 0.010248852 0.010278169 0.009927374 0.011807712 0.009952648 0.009827292 0.0106279515 0.010680521 0.013654689 4313.0 18.522606 79888.0 0.3583016 0.00031293812 0.0032170038 0.00043811335 0.00032545565 0.000262868 0.00017524534 0.00041307832 0.001739936 0.0018901462 0.0017274184 0.0005132185 0.0014144803 0.17530793 0.0093255555 0.0010639896 0.023019727 0.024096236 0.015997397 0.0034548368 0.0027538554 0.0028039254 0.0030167233 0.0031669338 0.0125926295 0.0027788905 0.0006759463 0.0012267174 0.00032545565 0.0018400761 0.0076982775 0.000262868 0.0003004206 0.0028539957 0.0022030843 0.0077358303 0.0033046266 0.0017900061 0.0011641298 0.0013518926 0.0009262968 0.007873523 0.00031293812 0.00076356897 0.0019402163 0.00884989 0.0022406369 0.003154416 0.003292109 0.0010639896 0.0032044863 0.0108652115 0.008224013 0.0008637092 0.0018651112 0.0016648307 0.0007260164 0.0004631484 0.00021279792 0.00017524534 0.000262868 0.0002002804 0.00021279792 0.007961146 0.00023783297 0.010389545 0.003267074 0.007961146 0.004744142 0.033346687 0.003479872 0.004105748 0.0020153215 0.016861105 0.00058832363 0.0043686163 0.016072502 0.013205988 0.014557881 0.023507912 0.008987582 0.0005132185 0.02052874 0.008687162 0.0294287 0.011453535 0.0027663729 0.0023032245 0.001289305 0.0031669338 0.0005507711 0.00013769277 0.00018776287 0.00042559585 0.00022531544 0.00047566593 4.05834 0.0 1.0 0.0 2.0 495616.0 516096.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1544660900.0 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 488960.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -488960.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6558814 0.0 4.6581597 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -488500.0 0.0 5400.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 496604.0 5400.0 499712.0 0.0 0.0 0.0 0.0 12.0 507904.0 28.0 496468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.4032689 0.020353619 0.004317434 0.00390625 0.0042146384 0.003700658 0.0046258224 0.00390625 0.0047286185 0.0024671052 0.0034950657 0.0030838817 0.0024671052 0.00071957236 0.002158717 0.0004111842 0.0029810856 0.0010279606 0.001953125 0.001850329 0.001953125 0.0008223684 0.0011307566 0.00071957236 0.0013363487 0.00071957236 0.0015419408 0.0002055921 0.00030838815 0.0008223684 0.0009251645 0.0013363487 0.0208676 0.0008223684 0.0004111842 0.0010279606 0.0016447369 0.00071957236 0.0009251645 0.00030838815 0.0002055921 0.00030838815 0.0005139803 0.00030838815 0.0009251645 0.0004111842 0.0065789474 0.0002055921 0.0035978619 0.0015419408 0.0006167763 0.0009251645 0.0009251645 0.00071957236 0.00010279605 0.0011307566 0.0005139803 0.0010279606 0.0009251645 0.0002055921 0.0012335526 0.0014391447 0.0004111842 0.0006167763 0.0020559211 0.0051398026 0.0012335526 0.003700658 0.0027754933 0.0028782894 0.0030838817 0.0005139803 0.0016447369 0.0011307566 0.0005139803 0.0006167763 0.0030838817 0.0014391447 0.0035978619 0.0010279606 0.002158717 0.0006167763 0.0028782894 0.00442023 0.002158717 0.0012335526 0.0014391447 0.0008223684 0.0004111842 0.0004111842 0.0004111842 0.00030838815 0.0010279606 0.0002055921 0.0004111842 0.0006167763 0.0008223684 0.032380756 0.0055509866 0.01665296 0.0132606905 0.043585528 0.0032894737 0.005345395 0.0046258224 0.029605264 0.0009251645 0.0017475329 0.014699835 0.010793585 0.022203946 0.033203125 0.008018092 0.0016447369 0.030838815 0.02240954 0.026418585 0.012335527 0.0031866776 0.0033922698 0.0009251645 0.0050370065 0.0020559211 0.0006167763 0.0010279606 0.0004111842 0.00030838815 0.0002055921 0.0008223684 0.00030838815 0.00010279605 0.0002055921 0.0 0.0002055921 0.0002055921 0.00071957236 0.0004111842 0.0008223684 0.00030838815 0.00030838815 0.0006167763 0.0 0.0005139803 0.00030838815 0.00071957236 0.0005139803 0.0002055921 0.00010279605 0.0002055921 0.0002055921 0.0002055921 0.0005139803 0.0002055921 0.00030838815 0.0002055921 0.0005139803 0.00010279605 0.00030838815 0.0004111842 0.0004111842 0.0002055921 0.0005139803 0.0 0.00030838815 0.00030838815 0.0004111842 0.00071957236 0.0004111842 0.0004111842 0.0009251645 0.00010279605 0.0005139803 0.0002055921 0.00030838815 0.0002055921 0.0004111842 0.0005139803 0.0011307566 0.00010279605 0.0015419408 0.0004111842 0.0002055921 0.00010279605 0.0004111842 0.0006167763 0.0002055921 0.0012335526 0.0002055921 0.00010279605 0.0006167763 0.0004111842 0.0005139803 0.00030838815 0.0004111842 0.0006167763 0.0046258224 0.0004111842 0.0 0.00010279605 0.0002055921 0.0002055921 0.00071957236 0.0004111842 0.00030838815 0.0002055921 0.00030838815 0.0004111842 0.00010279605 0.00030838815 0.0002055921 0.0005139803 0.0 0.00071957236 0.0002055921 0.0002055921 0.00010279605 0.0002055921 0.0 0.0002055921 0.0 0.0004111842 0.0006167763 0.0005139803 0.00010279605 0.0009251645 0.0002055921 0.0005139803 0.0002055921 0.0004111842 0.0004111842 0.0002055921 0.0002055921 0.00030838815 0.00030838815 0.0004111842 0.00030838815 0.00010279605 0.0004111842 0.00030838815 0.0004111842 0.0002055921 0.0006167763 0.00010279605 0.00030838815 0.0 0.0002055921 0.0 0.0002055921 0.00010279605 0.00010279605 0.0004111842 0.0002055921 0.00030838815 0.0006167763 0.0004111842 0.0005139803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06616211 0.0026245117 0.00091552734 0.0005493164 0.0032958984 0.0013427734 0.03302002 0.014831543 0.00012207031 0.0004272461 0.00024414062 0.00030517578 0.00030517578 0.0004272461 0.00018310547 0.00024414062 0.13549805 0.0048828125 0.005432129 0.0040283203 0.009216309 0.0040893555 0.051940918 0.029724121 0.0005493164 0.0006713867 0.00061035156 0.0006713867 0.00079345703 0.0005493164 0.0007324219 0.00061035156 0.1161499 0.007019043 0.018676758 0.003540039 0.015258789 0.0065307617 0.12884521 0.060302734 0.0015869141 0.0017089844 0.0025634766 0.0040893555 0.005432129 0.0013427734 0.0009765625 0.0009765625 0.038024902 0.002380371 0.008728027 0.002380371 0.004638672 0.0031738281 0.040893555 0.020751953 0.00024414062 0.00018310547 0.00048828125 0.0008544922 0.0012207031 0.00018310547 0.0004272461 0.0004272461 0.06439209 0.003967285 0.004699707 0.0040893555 0.004333496 0.0043945312 0.013244629 0.007873535 0.0028686523 0.0021972656 0.0021362305 0.002380371 0.0021972656 0.0018310547 0.0025634766 0.0018310547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151.0 15.668874 2366.0 0.07607777 0.00042265427 0.0 0.0025359257 0.00042265427 0.0 0.00084530853 0.00042265427 0.0 0.0 0.0 0.00042265427 0.0016906171 0.00084530853 0.014370245 0.0 0.0046491968 0.0021132713 0.00042265427 0.0012679629 0.0016906171 0.00084530853 0.00042265427 0.0016906171 0.00042265427 0.0012679629 0.0012679629 0.0 0.00042265427 0.0012679629 0.00042265427 0.00084530853 0.00084530853 0.0147929 0.00295858 0.00887574 0.0050718514 0.00591716 0.0050718514 0.0012679629 0.0038038883 0.00084530853 0.00084530853 0.00084530853 0.0016906171 0.0016906171 0.0046491968 0.00042265427 0.0046491968 0.00042265427 0.0067624683 0.011411665 0.0046491968 0.0012679629 0.0012679629 0.00042265427 0.00042265427 0.0 0.00042265427 0.0 0.00042265427 0.0 0.0 0.00084530853 0.0012679629 0.082417585 0.015638208 0.041420117 0.031276416 0.095097214 0.0054945056 0.0071851225 0.0071851225 0.068469994 0.0016906171 0.0016906171 0.03254438 0.023245985 0.045224007 0.07227388 0.0147929 0.0033812341 0.07227388 0.057058327 0.053254437 0.03254438 0.0076077767 0.00042265427 0.0012679629 0.0092983935 0.0042265425 0.0012679629 0.0 0.00084530853 0.0 0.0 4.79237 0.0 0.0 0.0 1.0 9728.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1505724700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 11.0 0.0 4.0 0.0 4.0 0.0 7680.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.162773 0.0 3.1421258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7524.0 0.0 880.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 15620.0 880.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 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 8192.0 0.0 0.0 72.0 8200.0


Input: 0.056382526 0.008273036 0.0061519826 0.005641034 0.0057533192 0.004959083 0.0041998713 0.0054195547 0.0050538555 0.005618371 0.0037445505 0.0044553457 0.0049487813 0.0031779748 0.004328639 0.00463871 0.0050311927 0.0037620629 0.004920968 0.0041555753 0.004355422 0.0031882762 0.004107159 0.0038475643 0.0050765187 0.0033417668 0.0031635528 0.002941043 0.004152485 0.00344169 0.0037857562 0.003791937 0.0061571333 0.0038166603 0.0034890764 0.0030275746 0.0048797624 0.004165877 0.0038413836 0.0037280684 0.0047242115 0.0039001014 0.0033263147 0.0031068954 0.0043646935 0.0037187971 0.003717767 0.0035951806 0.005505056 0.003957789 0.003105865 0.0029049884 0.0036827424 0.003074961 0.00269278 0.002872024 0.004174118 0.0033108627 0.0035261614 0.0033561888 0.0039928136 0.0032284516 0.003509679 0.003457142 0.006575369 0.0039485176 0.0036219642 0.003230512 0.004152485 0.0032181502 0.0035467641 0.0030780514 0.0049930774 0.0037764849 0.0037054054 0.003582819 0.0041195205 0.0031244077 0.0035488245 0.003456112 0.005147598 0.0036302053 0.0036538984 0.0033345558 0.003922764 0.0033850325 0.0033685502 0.0035302818 0.0046356195 0.0036415367 0.0038012082 0.0035055587 0.004108189 0.003396364 0.003702315 0.003791937 0.0059047495 0.0036302053 0.003343827 0.002948254 0.0040082657 0.003060539 0.0032675967 0.003035816 0.004968354 0.0031666432 0.0032068186 0.003059509 0.0035879696 0.0028452403 0.003103805 0.0032037282 0.0045047924 0.003285109 0.0032284516 0.0031481008 0.003898041 0.0033448571 0.0032954104 0.0036188737 0.004609866 0.00329129 0.003471564 0.0031532515 0.0040371097 0.0031923968 0.0034695037 0.0033417668 0.008621222 0.0045892633 0.0040123863 0.0035344025 0.004368814 0.00344169 0.0030172733 0.0033912132 0.0045367265 0.0038259313 0.0029688568 0.0032026982 0.0037311588 0.0027999142 0.0028534816 0.0029760678 0.0052320696 0.0032037282 0.0034952573 0.0030378762 0.0036621396 0.0031748845 0.0033180735 0.003275838 0.0045583593 0.0028462706 0.0030553883 0.002708232 0.00351689 0.003230512 0.0029987309 0.0031563418 0.0050054393 0.0034128462 0.0032809887 0.0028040349 0.0037733945 0.0030265446 0.0030636296 0.0031934269 0.0041349726 0.0030007912 0.0031326488 0.003021394 0.003642567 0.0028473006 0.0029204404 0.003044057 0.004668584 0.0031254378 0.003836233 0.0028524513 0.0035611861 0.0031625228 0.0029977008 0.003126468 0.004249318 0.0031573721 0.0033427968 0.0031882762 0.0036621396 0.0032026982 0.003336616 0.0033572188 0.006708257 0.0040721344 0.0037311588 0.0033448571 0.0041050985 0.0032583256 0.003299531 0.0032212406 0.0043327594 0.0033407365 0.0031182268 0.00306775 0.0036394766 0.0029925501 0.0030790817 0.0028030048 0.0042575593 0.0032717173 0.003103805 0.003014183 0.0037126164 0.0030337556 0.0029431034 0.0029523748 0.003979422 0.0031223474 0.0027339854 0.0026423032 0.0035374928 0.0029637062 0.0035859093 0.0028854157 0.004951872 0.0032449337 0.0033922435 0.0029822486 0.0038279917 0.0030801117 0.003201668 0.0029121994 0.0044388636 0.005448398 0.0034808354 0.0031439804 0.0037939972 0.0030852624 0.003245964 0.0031893062 0.0046150167 0.0033273448 0.0034272682 0.0030502377 0.00374043 0.0030924734 0.003313953 0.003239783 0.004355422 0.0030337556 0.0031934269 0.002863783 0.0040082657 0.003097624 0.004216354 0.0044914004 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-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 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-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 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.004562281 0.00029162675 0.0002699483 0.00026943214 0.00029833676 0.00023949525 0.00033033825 0.00030607905 0.00032982213 0.00034943596 0.0003267252 0.0003499521 0.00051873433 0.00015278145 0.0001832345 0.0007355188 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.09900909 0.062031332 0.062444255 0.055357985 0.06057836 0.05956257 0.055013195 0.05447278 0.060475647 0.05324227 0.05219448 0.05303271 0.056419194 0.050650146 0.056705143 0.053842556 4035.0 5.7035937 23014.0 0.017163465 0.010471887 0.009429043 0.008777266 0.013513514 0.012557574 0.011862345 0.01151473 0.012514122 0.009733206 0.008429651 0.008603459 0.013817676 0.010515339 0.01173199 0.009863561 0.016772399 0.011905797 0.008646911 0.0075171636 0.009820109 0.008473103 0.007864778 0.008342748 0.01029808 0.008473103 0.00960285 0.00886417 0.011558182 0.0089510735 0.009689754 0.009211784 0.01798905 0.010906405 0.010341532 0.009037977 0.010776049 0.008907622 0.010689146 0.008255844 0.014165291 0.011558182 0.009733206 0.0089510735 0.011384374 0.00934214 0.011601633 0.0095593985 0.014730164 0.00960285 0.009907013 0.009168332 0.012123056 0.009385591 0.009733206 0.009820109 0.013687321 0.009255236 0.010471887 0.0095593985 0.011080212 0.009776657 0.010384983 0.010645694 0.017902147 0.010993308 0.009733206 0.00816894 0.013035543 0.008255844 0.00934214 0.008386199 0.015468845 0.009255236 0.008907622 0.008733815 0.011297471 0.007995133 0.009907013 0.00790823 0.01320935 0.008038585 0.008733815 0.008994525 0.011427826 0.009472495 0.008255844 0.008038585 0.010993308 0.008994525 0.011905797 0.008603459 0.011254019 0.009081429 0.009993916 0.008690363 6.554988 0.0 0.0 0.0 14.0 970744.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24169922 0.0441662 0.026913598 0.012706938 0.015066965 0.007254464 0.021472748 0.008010138 0.007940384 0.005591983 0.022147043 0.004906064 0.004406157 0.0047433036 0.009033203 0.0016857329 0.0036039806 0.007672991 0.017287482 0.00516183 0.0031622024 0.0068708146 0.0035226005 0.0025576637 0.0031738281 0.00335984 0.0018368675 0.0020577568 0.0026157924 0.0020810082 0.00273205 0.0030691964 0.0078706285 0.0013020834 0.0017554874 0.0014880953 0.0013020834 0.001453218 0.0023949032 0.0010114397 0.009498233 0.0010230655 0.008614676 0.002220517 0.00327846 0.0031156994 0.004673549 0.0009416853 0.0050571985 0.0026971726 0.0021275112 0.0023949032 0.0020112537 0.0018019903 0.0016857329 0.001406715 0.0023018974 0.001499721 0.00080217636 0.00096493674 0.0022786458 0.0019414993 0.0021740142 0.00091843377 0.0010114397 0.004092262 0.002220517 0.0054757255 0.0020810082 0.0032668342 0.0019182478 0.0017554874 0.0012672062 0.0062895278 0.0012904576 0.00086030504 0.0013718378 0.00226702 0.0016857329 0.0016508556 0.0022088913 0.00069754466 0.0017903646 0.004278274 0.002952939 0.0017438616 0.0017903646 0.00109282 0.0009300595 0.0016624813 0.000453404 0.0004766555 0.0010346912 0.002778553 0.00040690103 0.005998884 0.0010695684 0.013764881 0.0036039806 0.00819615 0.0070335753 0.030657087 0.0023484002 0.005231585 0.0028018043 0.015904019 0.0005812872 0.002406529 0.009579613 0.00609189 0.014857701 0.025355747 0.008556548 0.001499721 0.018508185 0.0167992 0.022484189 0.006591797 0.0021158855 0.0013137091 0.0021740142 0.0047781807 0.0022902717 0.0058012465 0.00070917036 0.0035574776 0.0011858259 0.00038364955 0.0061383927 0.006359282 0.0019182478 0.0014880953 0.00081380206 0.0010811941 0.0026041667 0.0005347842 0.0010463169 0.0019880023 0.0002906436 0.00036039806 0.0011393229 0.0015113468 0.0006161644 0.0004185268 0.0006045387 0.0010463169 0.000453404 0.00046502976 0.0007556734 0.0006045387 0.0013834635 0.00059291295 0.00037202382 0.0006859189 0.0004185268 0.0011742001 0.0004766555 0.0010579427 0.00024414062 0.00030226936 0.00088355655 0.0007556734 0.00055803574 0.0004185268 0.00048828125 0.0011625744 0.00025576638 0.0002906436 0.00046502976 0.00080217636 0.00048828125 0.00034877233 0.00077892485 0.0006045387 0.00032552084 0.00017438616 0.00036039806 0.00038364955 0.00030226936 0.00027901787 0.00056966144 0.0006045387 0.00051153277 0.00036039806 0.00051153277 0.00033714657 0.0006161644 0.00038364955 0.0004185268 0.0003952753 0.00032552084 0.00025576638 0.00052315847 0.0006626674 0.0006626674 0.00052315847 0.0011160715 0.00036039806 0.0011044457 0.00027901787 0.0006394159 0.0014299665 0.00022088914 0.00030226936 0.0019647507 0.00059291295 0.00043015252 0.00022088914 0.00037202382 0.0005347842 0.00037202382 0.00027901787 0.0005347842 0.00048828125 0.00013950893 0.00054641 0.0002906436 0.00046502976 0.00019763765 0.00025576638 0.00077892485 0.00046502976 0.0011160715 0.00062779017 0.00070917036 0.0012207031 0.00025576638 0.0016043527 0.00048828125 0.00034877233 0.0006859189 0.00036039806 0.00037202382 0.0003952753 0.001499721 0.0002906436 0.00033714657 0.0002092634 0.0004185268 0.00038364955 0.00043015252 0.00054641 0.00031389509 0.0002092634 0.00043015252 0.00074404763 0.00046502976 0.00025576638 0.0006510417 0.0005347842 0.0004185268 0.0004185268 0.0003952753 0.00024414062 0.0012788319 0.00067429314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0093655875 1.764872e-05 0.00022943335 0.00020001883 0.00030002824 0.00013530685 0.0011706984 0.000564759 2.3531626e-05 0.0 1.764872e-05 1.1765813e-05 0.0 0.0 5.8829064e-06 5.8829064e-06 0.008818477 0.0007765437 0.0007765437 0.00015883848 0.00016472138 5.294616e-05 0.0006588855 0.00039415475 9.41265e-05 1.1765813e-05 3.529744e-05 4.1180345e-05 2.3531626e-05 5.8829064e-06 5.8829064e-06 2.9414534e-05 0.04122741 0.0030532286 0.004912227 0.0026943712 0.008536098 0.0067123966 0.050281204 0.025578879 0.000188253 7.647779e-05 0.00012942395 8.82436e-05 0.00021178465 7.059488e-05 0.00064123684 0.0001764872 0.13151237 0.011306946 0.017807558 0.007977221 0.014001317 0.01226586 0.07053605 0.046875 0.0029179216 0.0019825394 0.0015413215 0.00073536334 0.0010177428 0.0014530779 0.0016825113 0.0016883942 0.10256848 0.025967149 0.013630695 0.00597115 0.0027884978 0.0030532286 0.012130554 0.013577748 0.011854057 0.0022119728 0.00220609 0.0016295651 0.002641425 0.0019001788 0.0010471573 0.0016413309 0.082884274 0.017695783 0.008647873 0.0065653236 0.0059946817 0.0034885637 0.009094974 0.007547769 0.0077419053 0.003094409 0.002706137 0.002394343 0.003406203 0.0023002166 0.0029179216 0.0021943243 0.041968655 0.008594926 0.0042827562 0.007312453 0.0043357024 0.0035709243 0.0058770236 0.0043062875 0.0051475433 0.0023649284 0.0012059959 0.0008942018 0.0022296216 0.00091185054 0.002082549 0.0013001224 0.009947995 0.002459055 0.0012295275 0.00081772404 0.0019413591 0.0010295087 0.0007765437 0.0005412274 0.0004235693 0.0006353539 0.0006706514 0.00053534453 0.0009942112 0.0005529932 0.00088831893 0.00065300264 0.0043945312 0.0015530874 0.0006588855 0.00061770517 0.0007647779 0.00030002824 0.0004294522 0.0002764966 0.000188253 0.00038238894 0.0003706231 0.0003353257 0.00061770517 0.0003529744 0.00041768636 0.00038827184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1153.0 16.088465 18550.0 0.0012398922 0.00010781671 0.0 0.00026954178 0.00053908356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053908356 0.00026954178 0.012884097 0.0 0.0073315366 0.0040431265 0.0032884097 0.0031266846 0.003342318 0.0029649595 0.0024797844 0.0023180593 0.0023180593 0.0029110513 0.0 0.0 0.006307278 0.00016172507 0.006253369 0.0 5.3908356e-05 0.013045822 0.0053908355 0.0139083555 0.004097035 0.009002696 0.005283019 0.005013477 0.002264151 0.010512129 0.0026415095 0.0013477089 0.0035579514 0.0071698115 0.00393531 0.004690027 0.006469003 0.00010781671 0.0061455527 0.015902964 0.008086253 0.004690027 0.004959569 0.0026954177 0.00021563342 0.0 0.0 0.0 5.3908356e-05 0.0 0.0 0.022749325 0.0011320754 0.050512128 0.013153639 0.029326146 0.025013477 0.120862536 0.007277628 0.021239892 0.007762803 0.059784368 0.00064690027 0.007978437 0.03568733 0.021886792 0.056603774 0.053369273 0.01671159 0.0018328842 0.056549866 0.048409704 0.08334232 0.0206469 0.006361186 0.0032884097 0.0052291104 0.01644205 0.002264151 0.0 0.0 0.0 0.0 0.0 5.0548534 0.0 0.0 0.0 1.0 86016.0 114688.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1455148400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 83456.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83456.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0059414 0.0 2.6229365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83316.0 0.0 1536.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 91416.0 1536.0 98304.0 0.0 0.0 0.0 0.0 12.0 106496.0 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 8192.0 0.0 0.0 72.0 8200.0


Input: 0.16039835 0.011729631 0.0054622213 0.006085154 0.008348385 0.004083065 0.0035118167 0.0029405684 0.007042675 0.002984092 0.002747432 0.0029024852 0.004950818 0.0028861638 0.0020320117 0.008908752 0.005894738 0.002140821 0.0019939283 0.0016892627 0.0035907032 0.009194377 0.0019422441 0.001550531 0.0030221753 0.002260511 0.0015369299 0.0038627263 0.005957303 0.0016729414 0.001490686 0.0016375784 0.008794503 0.0017219054 0.0016647807 0.0018198338 0.017841987 0.0018823991 0.0020265712 0.0015913345 0.0033567636 0.0015967749 0.0013709958 0.0025842183 0.0024155641 0.0019150418 0.0023366774 0.0014662038 0.0042653205 0.0025869384 0.0020673748 0.0036315068 0.0028698423 0.0018742384 0.0015070073 0.0015886142 0.0026032599 0.0027011882 0.0016892627 0.0030004135 0.0026440634 0.0018279945 0.0013981981 0.0014770848 0.0049916217 0.0030820204 0.0024019629 0.0029976931 0.007823381 0.00473048 0.0026250219 0.0023257965 0.0027202298 0.0026087004 0.001218663 0.0021136187 0.003704953 0.002578778 0.0019368036 0.0014444421 0.0060389102 0.0023611595 0.0020646544 0.0032996389 0.0042217965 0.003016735 0.0028045569 0.0026114206 0.002426445 0.0027991165 0.0012676271 0.0019259227 0.0025678969 0.0020782556 0.001999369 0.0021000174 0.0023529988 0.004594468 0.0015260489 0.0032887578 0.0035961438 0.0068740207 0.008245016 0.0113460785 0.0037729586 0.004757682 0.0043034037 0.0014090791 0.0046679145 0.0019232024 0.004521022 0.0063027726 0.0034818943 0.0009738423 0.0050460263 0.0040640235 0.010641539 0.00638982 0.0022550705 0.0018361551 0.0018143933 0.0017463876 0.0012567461 0.0011805798 0.0025270935 0.0018225539 0.0017219054 0.0019857679 0.010807473 0.011623542 0.0020401725 0.008971318 0.004945378 0.00804644 0.0017028638 0.001243145 0.00272295 0.012099582 0.0017246257 0.015018389 0.0031908297 0.008035559 0.001147937 0.0011071336 0.0051412345 0.0011914606 0.0014634837 0.0010445683 0.0018796788 0.0014335611 0.0010200862 0.00094119954 0.0014743645 0.0010364075 0.0008976758 0.0009330388 0.0014172398 0.0009738423 0.0010200862 0.0012567461 0.0022904335 0.001751828 0.0010908121 0.0013655553 0.0013301923 0.0009684018 0.006495909 0.009890756 0.0016049356 0.0011288953 0.0010391278 0.0012077821 0.0017219054 0.0009928839 0.00086231285 0.0010663301 0.0020129702 0.0010472884 0.0014145195 0.0013410733 0.0016049356 0.0013981981 0.0032615555 0.0013546745 0.0020809758 0.0011941809 0.0012866687 0.0010880919 0.0018905597 0.0013111507 0.0015831738 0.0014988466 0.0070263534 0.003658709 0.0031309845 0.0039280117 0.002747432 0.00165662 0.00224963 0.004482939 0.0026685453 0.0026250219 0.0011969011 0.0019830475 0.0024155641 0.0014417218 0.0011642583 0.0013057103 0.0023257965 0.0015070073 0.0022469098 0.0016130962 0.0014934061 0.001147937 0.0014117992 0.001147937 0.0026576645 0.0018225539 0.0011669786 0.0018878395 0.0016593402 0.0016375784 0.0011452168 0.0011941809 0.0023938022 0.0014417218 0.0015178883 0.0010010445 0.0022931537 0.0012703473 0.0013057103 0.0011452168 0.007173246 0.0030874608 0.0014226802 0.004001458 0.0031173835 0.0016212569 0.0058566546 0.0012268237 0.0033050792 0.0014145195 0.0022224279 0.0016647807 0.002140821 0.0013274722 0.0030248954 0.0021027375 0.003835524 0.0016402985 0.0017980719 0.0018470361 0.003383966 0.0027555928 0.026018998 0.06048431 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006885038 9.1382244e-05 5.592048e-05 3.273394e-05 5.0464823e-05 5.8648307e-05 5.592048e-05 5.7284393e-05 0.0002318654 3.955351e-05 3.955351e-05 3.1370026e-05 4.910091e-05 3.1370026e-05 0.000604214 6.546788e-05 0.006747283 0.000349162 0.00016230578 2.8642196e-05 0.00014866664 0.00013911923 0.00024550455 9.956573e-05 0.0003287033 4.364525e-05 0.00024414062 6.81957e-05 6.137614e-05 0.00015412229 0.000114568786 0.002238183 0.0087890625 0.00038053203 0.00018276449 3.5461766e-05 0.0002796024 0.00026869107 0.0015112169 0.00022504583 0.0016135104 0.00012275227 0.0017130761 0.00036280116 0.00054283784 0.0003587094 0.002969241 0.014164248 0.0104775885 9.547399e-05 0.0011388683 9.547399e-05 0.00053874607 0.00039962682 0.005796635 0.0017267152 0.0029978831 0.00017730883 0.0030619872 0.00043918035 0.00031642808 0.00024277672 0.0021454368 0.015042609 0.027926141 0.0006451314 0.0027387396 0.00065195095 0.0018467397 0.0014402933 0.01348911 0.0038230512 0.007062347 0.000396899 0.0066395337 0.000698324 0.000762428 0.00054829346 0.00091518636 0.019801306 0.011437784 0.00029460544 0.0009465564 0.0010747643 0.0015589538 0.00077061146 0.009180506 0.0026459934 0.0043727085 0.00022777365 0.0043086046 0.00037507637 0.00039280727 0.00043918035 0.00045281948 0.009007289 0.010459857 0.0006001222 0.00097110687 0.0005305626 0.0023691189 0.0008988194 0.00457866 0.002287284 0.00111159 0.00027414673 0.0005810274 0.00037234856 0.00045145556 0.00034370634 0.0004064464 0.0016967092 0.006212629 0.0010815839 0.0013748254 0.0005251069 0.0012834432 0.00074742496 0.005346543 0.0025996203 0.0010256635 0.00013229967 0.00012957184 0.00016094187 0.00037234856 0.00036825682 0.00025505194 0.00073105795 0.004775063 0.00040917424 0.00072151056 0.0014307459 0.0010761282 0.00061376137 0.0016216938 0.00090973073 0.0023036508 0.00042826904 0.0004064464 0.00052783475 0.0005796635 0.00047191427 0.0005796635 0.0026978222 0.04417445 0.010189802 0.015376768 0.0070937173 0.009001833 0.009191417 0.005894837 0.007872513 0.0280298 0.0031642807 0.0021399811 0.0042172223 0.009415099 0.004871901 0.0077552157 0.018762002 0.047964767 0.017801806 0.014998963 0.013610499 0.017361263 0.015870504 0.012011992 0.014214713 0.031024953 0.0068713995 0.004938733 0.0062821885 0.017407635 0.006905497 0.01143642 0.0210752 0.049435068 0.017609496 0.015825495 0.012681673 0.013886009 0.01328316 0.013843728 0.01236661 0.014577514 0.011300028 0.010698542 0.011896059 0.013442737 0.011402322 0.012344787 0.014010126 1609.0 10.957116 17630.0 0.045717526 0.0025524674 0.0033465684 0.0019852524 0.009926262 0.002722632 0.001588202 0.0039137835 0.0036301757 0.0020419739 0.0020419739 0.0033465684 0.0036868972 0.006125922 0.008451503 0.005558707 0.012819058 0.0079410095 0.007657402 0.007884288 0.006693137 0.0039705047 0.003176404 0.004651163 0.0048213275 0.004651163 0.0043675555 0.005445264 0.004764606 0.003062961 0.003516733 0.002382303 0.004991492 0.015882019 0.0038003402 0.012251844 0.020873511 0.007827567 0.004878049 0.011287578 0.004991492 0.012819058 0.002382303 0.002836075 0.006863301 0.004991492 0.009529212 0.00453772 0.017073171 0.002722632 0.006693137 0.00986954 0.007430516 0.005275099 0.0047078845 0.00493477 0.008735111 0.002836075 0.0027793534 0.0037436187 0.0036301757 0.003289847 0.0040272265 0.008564946 0.00493477 0.03601815 0.006863301 0.030062394 0.021894498 0.06500284 0.009245604 0.015428247 0.013442995 0.043108337 0.005445264 0.0038003402 0.028530912 0.014066932 0.035507657 0.035507657 0.016732842 0.0019852524 0.043788996 0.03397618 0.051389676 0.022121385 0.007090187 0.006012479 0.005048213 0.007770845 0.0025524674 0.0016449235 0.0025524674 0.0019285309 0.0021554169 0.0028927964 5.883765 0.0 0.0 0.0 4.0 367616.0 401408.0 0.0 3.0 78.0 1.0 1.0 0.0 1.0 0.0 1375222900.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 22.0 4.0 0.0 4.0 0.0 58880.0 1024.0 4096.0 11.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 -2048.0 0.0 0.0 -512.0 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 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 0.0 512.0 0.0 0.0 -58880.0 -2560.0 297984.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4375 0.0 0.0 -6.3544116 0.0 0.0 -1.4145502 0.0 0.0 0.0 0.0 0.0 5.4293113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9192646 0.0 0.0 0.0 0.0 0.0 4.4572268 0.0 0.0 -6.2053766 -5.05103 6.890275 -4.437577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -1608.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 2428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3712.0 0.0 0.0 -116.0 0.0 0.0 0.0 0.0 0.0 170.0 0.0 0.0 -58692.0 -2156.0 297652.0 -36.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 77824.0 2156.0 81920.0 297652.0 94208.0 0.0 0.0 0.0 0.0 1598.0 393216.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 90112.0 0.0 0.0 0.0 0.0 324.0 82324.0 0.0 0.0 0.0 0.0