Input: 0.17574619 0.009450451 0.004661599 0.005001805 0.009863372 0.0032401793 0.0026601846 0.002064608 0.01053253 0.0026065134 0.0014179571 0.0017824016 0.007521752 0.0013322565 0.0010422592 0.0059401845 0.0058518867 0.003479968 0.0016222538 0.0008232462 0.0035708628 0.0027000052 0.0009314541 0.0006128899 0.0029545103 0.0011227658 0.0005514278 0.00078342564 0.0019425494 0.0005211296 0.0010621693 0.00063799415 0.0042504086 0.0005479651 0.0012396304 0.0006094272 0.010500501 0.0012517497 0.00040945894 0.00037829505 0.0014638373 0.00061115855 0.0006414568 0.0020239218 0.0011547954 0.0011824967 0.0008059329 0.00040859327 0.002424724 0.00058345735 0.0005505621 0.0058285138 0.0010344682 0.00067954604 0.00049515965 0.00043110052 0.0014231511 0.0022152334 0.0006605014 0.0036418473 0.0012933016 0.0011617207 0.0005479651 0.0013417788 0.004262528 0.0020100712 0.0048710895 0.0024628132 0.0053021903 0.009050514 0.0039422326 0.0017252677 0.0021788755 0.0059142145 0.003070509 0.0032644179 0.005655381 0.005109147 0.0016586117 0.0008942306 0.009079946 0.0028532275 0.0014499867 0.0031640008 0.002944988 0.0024532909 0.005333354 0.0036756082 0.0012361677 0.002792631 0.0005652784 0.0012249141 0.0012751226 0.002107891 0.0032843282 0.0022567853 0.0010439905 0.0018395354 0.0006016363 0.0013210028 0.0020767273 0.0037379358 0.0031259116 0.00073841115 0.0031051356 0.0018577143 0.0050797146 0.0007401425 0.0020949063 0.00082670886 0.0017806703 0.0018871468 0.001971982 0.0007306202 0.0024671415 0.0019806386 0.011657893 0.010614769 0.0017131484 0.0016153285 0.0013106149 0.0014118975 0.00039387698 0.00059557665 0.0021762785 0.003114658 0.0016084032 0.0011669147 0.0030878223 0.0016213881 0.0009686777 0.0109670935 0.0021295326 0.006353106 0.0006535761 0.00080247025 0.0013738082 0.009277318 0.000980797 0.02909409 0.00091240957 0.008943172 0.00045187646 0.00046918972 0.0010941989 0.00028913168 0.00051420426 0.0008370968 0.00079814193 0.00051939825 0.0003168329 0.00026749008 0.0011322881 0.00075572444 0.00031077326 0.00039733964 0.0006656954 0.00032808655 0.00035925044 0.00065530743 0.0008370968 0.0012335707 0.000592114 0.00066482974 0.00058865134 0.0009046186 0.00031077326 0.00028913168 0.0007886196 0.0004388915 0.0011807653 0.00030038532 0.0006362628 0.0005116073 0.00038781733 0.0003453998 0.0008249775 0.00035232512 0.00043802583 0.00040599628 0.00070984423 0.0009375138 0.0012725256 0.0010561097 0.00251735 0.0005367115 0.0004414885 0.0009063499 0.00082670886 0.0007894853 0.00079727627 0.00066482974 0.008074045 0.0029311373 0.0040383213 0.0046200473 0.0028826601 0.0006942623 0.00273896 0.0034262969 0.002612573 0.0022334123 0.0009193349 0.00088038 0.0126940925 0.00063799415 0.0026480653 0.0014318078 0.0016586117 0.0010361995 0.0011651834 0.00094011077 0.0013253312 0.0006094272 0.00095742405 0.0012378991 0.0020100712 0.00093058846 0.00096954335 0.0018196251 0.0020767273 0.0017252677 0.0016638057 0.0018958035 0.003616743 0.0022386063 0.002483589 0.0024039482 0.0041274847 0.004205394 0.0035552809 0.003091285 0.018107088 0.0058060065 0.0025736182 0.006042333 0.00591508 0.0020074742 0.0031492845 0.0042348267 0.0077546155 0.0065478804 0.0063539715 0.0064188964 0.006154003 0.00429802 0.0064414036 0.0062587485 0.008348461 0.006381673 0.005820723 0.0060899444 0.0107775135 0.007616109 0.008661831 0.12693574 0.014883263 3.4660603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0001663709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036852886 0.00016333809 6.238909e-05 3.9426435e-05 1.1697954e-05 2.989477e-05 2.5995453e-06 2.5995453e-06 1.9496589e-05 2.5995453e-06 2.5995453e-06 2.5995453e-06 3.0328029e-06 2.1662877e-06 2.9461513e-05 0.020785531 0.005130636 0.00026991946 5.502371e-05 7.8419616e-05 1.1697954e-05 4.5058783e-05 0.00020363105 7.75531e-05 3.6393634e-05 6.238909e-05 0.0001174128 6.6288405e-05 1.9063333e-05 4.1592724e-05 9.055083e-05 0.01765178 0.005056982 0.0003682689 0.00019236635 0.00013257681 1.1264696e-05 0.00011784605 0.00023222604 0.00043022473 0.000107881126 9.704969e-05 0.0002417577 0.0002959149 0.00012997726 0.00015120688 0.001979987 0.047242403 0.010626508 0.0012659786 0.00046791814 0.00042329263 4.2025982e-05 0.00036653588 0.00044018967 0.0003071796 0.0003336083 0.00028638323 6.195583e-05 6.8021436e-05 0.00036480284 0.00022832672 0.022199683 0.046812177 0.003288858 0.00010008249 8.05859e-05 4.8091588e-05 5.589022e-05 5.978954e-05 6.498863e-05 4.3759013e-05 0.0001520734 0.00019020007 8.968431e-05 2.7728483e-05 1.7330301e-05 4.072621e-05 0.008818524 0.011766409 0.0052879085 0.00016767067 0.00015943877 4.59253e-05 0.0003132452 5.2424162e-05 0.0002326593 0.00015250666 4.939136e-05 0.00011481325 5.459045e-05 9.358363e-05 6.412212e-05 0.003083494 0.0021545899 0.003945243 0.038772218 0.0010138226 0.0016832056 0.0006009282 0.0041185464 0.00075776747 0.0028521344 0.0018118831 0.00064728677 0.00093713606 0.0005931296 0.00043585707 0.00047744982 0.0037905702 0.004004166 0.009376126 0.010796778 0.0002785846 0.00053680607 0.00028205066 0.0013959558 0.00037216823 0.0009592322 0.0006251906 0.00031714453 0.00013690938 0.00012001234 0.00015900552 0.0002785846 0.00017720234 0.00028031762 0.0019175978 0.007763542 0.0006329893 0.00043239104 0.00034833906 0.0019305956 0.00096616434 0.0035427469 0.002016814 0.00026688664 0.00013127703 0.00015683923 0.00017070347 0.00023439233 0.000415494 0.0006524859 0.0016338142 0.015985036 0.0010606145 0.0013162364 0.0012616459 0.0054685767 0.001534165 0.0044049295 0.002790612 0.00049348036 0.00041246117 0.0005346398 0.00045492043 0.00055630266 0.0003635031 0.00045492043 0.0010623474 0.010253906 0.00087084767 0.0013955225 0.0008695479 0.0050916425 0.0010588814 0.0022039812 0.0027615835 0.0010350522 0.00039556413 0.0004952134 0.00045058783 0.0020059824 0.0006737155 0.000605694 0.00088817795 0.007553412 0.0010237875 0.0014388483 0.00074736925 0.0022178453 0.0013634615 0.0013898902 0.0013968223 0.0028417362 0.00026602013 0.00044018967 0.00045578694 0.0050002253 0.00045448716 0.0010337525 0.0016576434 0.042911127 0.007952009 0.0085247755 0.006932121 0.014795312 0.014209981 0.005150999 0.010449738 0.027977172 0.0024206098 0.0028880949 0.005050483 0.020977898 0.004037527 0.011207939 0.023919716 0.06246924 0.013821349 0.011047634 0.01240373 0.025538798 0.024603829 0.010109198 0.021629084 0.043617338 0.0037277478 0.0041103144 0.0055760248 0.023221739 0.008510478 0.020021698 0.042333595 0.00029548164 0.00016593764 7.8419616e-05 9.358363e-05 8.101916e-05 8.4051964e-05 6.282234e-05 5.632348e-05 9.704969e-05 6.585514e-05 0.000110913934 0.0001806684 0.00016247158 6.0656057e-05 9.4450144e-05 8.491848e-05 2734.0 12.7948065 34981.0 0.021297276 0.00088619534 0.0012578256 0.0011720648 0.0109488005 0.0007432606 0.002144021 0.0017723907 0.0019439124 0.0061461935 0.0027443469 0.006432063 0.0028872816 0.0040879333 0.0104056485 0.0028015207 0.0040879333 0.0013149995 0.0024584774 0.0050027156 0.0028015207 0.000543152 0.0013149995 0.00065749977 0.0019724993 0.0060318457 0.0026014121 0.0028872816 0.0040021725 0.0033160858 0.0009147823 0.009204997 0.02341271 0.021039993 0.0044023897 0.019410538 0.020897059 0.007375432 0.010262714 0.02209771 0.005745976 0.0120065175 0.0013435865 0.0012864126 0.008347388 0.0060604326 0.009119236 0.005460107 0.022040537 0.004745433 0.008633258 0.026442926 0.008175867 0.0067465194 0.027672164 0.021411624 0.007375432 0.004173694 0.00580315 0.003258912 0.002658586 0.00374489 0.004831194 0.016123038 0.0022583688 0.03539064 0.0071467366 0.02032532 0.016980646 0.06303422 0.006517824 0.011663474 0.010062605 0.035819445 0.005860324 0.0027443469 0.028701294 0.012292387 0.030359337 0.03596238 0.013435865 0.00040021725 0.035647925 0.023612818 0.061118893 0.0162088 0.004802607 0.008347388 0.0062605413 0.01958206 0.0010005431 0.0003716303 0.001572282 0.0013149995 0.0012864126 0.0010291301 5.832245 0.0 0.0 0.0 3.0 1155183.0 1171456.0 0.0 0.0 566.0 0.0 1.0 0.0 0.0 0.0 1156748900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 638976.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0765996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5278006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6523447 0.0 4.595855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166102.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638372.0 0.0 326212.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 3.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 797324.0 326212.0 843776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 731680.0 0.0 0.0 2312.0 643072.0 64.0 797148.0 0.0 0.0


Input: 0.9394531 0.00095214846 0.00032958985 0.0001586914 0.00040283203 2.4414063e-05 4.8828126e-05 0.0 0.0 6.1035156e-05 7.324219e-05 1.2207031e-05 2.4414063e-05 0.00010986328 6.1035156e-05 2.4414063e-05 0.00024414062 0.0001953125 1.2207031e-05 2.4414063e-05 0.00012207031 0.0 1.2207031e-05 0.0 0.0 2.4414063e-05 0.0 1.2207031e-05 4.8828126e-05 1.2207031e-05 1.2207031e-05 1.2207031e-05 0.032104492 0.00010986328 6.1035156e-05 8.544922e-05 6.1035156e-05 2.4414063e-05 0.0 2.4414063e-05 0.00017089843 8.544922e-05 1.2207031e-05 2.4414063e-05 0.0 0.00024414062 0.00035400392 1.2207031e-05 0.0010498047 0.00035400392 0.00014648438 0.00017089843 0.00020751954 0.0001953125 8.544922e-05 4.8828126e-05 0.00020751954 8.544922e-05 2.4414063e-05 1.2207031e-05 2.4414063e-05 1.2207031e-05 2.4414063e-05 2.4414063e-05 0.00013427735 0.00084228517 0.00025634764 0.0003173828 0.0016235352 0.00024414062 0.00030517578 0.00069580076 6.1035156e-05 0.0008911133 2.4414063e-05 2.4414063e-05 0.00013427735 0.00030517578 0.000769043 0.00012207031 0.0007568359 4.8828126e-05 0.00012207031 0.0001953125 0.00020751954 8.544922e-05 0.00013427735 4.8828126e-05 0.0007324219 4.8828126e-05 3.6621095e-05 6.1035156e-05 7.324219e-05 6.1035156e-05 0.0 4.8828126e-05 4.8828126e-05 0.00069580076 0.00012207031 0.0004272461 0.00035400392 0.000769043 0.0004394531 0.0002685547 9.765625e-05 0.00091552734 1.2207031e-05 0.00013427735 0.00035400392 0.0002685547 0.0005493164 0.0012207031 0.0002685547 2.4414063e-05 0.0011108399 0.00057373045 0.0007568359 0.00014648438 4.8828126e-05 3.6621095e-05 0.0 8.544922e-05 0.0 6.1035156e-05 0.0 9.765625e-05 9.765625e-05 2.4414063e-05 0.00010986328 1.2207031e-05 1.2207031e-05 0.0 1.2207031e-05 0.0 0.0 2.4414063e-05 1.2207031e-05 1.2207031e-05 0.0 0.00012207031 2.4414063e-05 3.6621095e-05 0.0 6.1035156e-05 6.1035156e-05 0.0 0.0 1.2207031e-05 8.544922e-05 1.2207031e-05 1.2207031e-05 0.0 0.0 0.0 0.0 0.0 6.1035156e-05 0.0 6.1035156e-05 0.0 0.0 0.0 0.0 0.0 2.4414063e-05 2.4414063e-05 0.0 1.2207031e-05 2.4414063e-05 4.8828126e-05 0.0 0.0 2.4414063e-05 2.4414063e-05 2.4414063e-05 2.4414063e-05 6.1035156e-05 0.0 0.0 0.0 1.2207031e-05 1.2207031e-05 2.4414063e-05 1.2207031e-05 3.6621095e-05 0.0 1.2207031e-05 2.4414063e-05 0.0 4.8828126e-05 1.2207031e-05 2.4414063e-05 2.4414063e-05 1.2207031e-05 0.0 0.0 2.4414063e-05 2.4414063e-05 0.0 1.2207031e-05 1.2207031e-05 0.0 2.4414063e-05 0.0 0.0 3.6621095e-05 0.0 1.2207031e-05 0.0 0.0 0.0 0.0 2.4414063e-05 0.0 0.0 0.0 2.4414063e-05 2.4414063e-05 0.0 0.0 3.6621095e-05 0.0 0.0 0.0 1.2207031e-05 0.0 0.0 0.0 4.8828126e-05 0.0 1.2207031e-05 0.0 0.00013427735 1.2207031e-05 1.2207031e-05 0.0 0.0 2.4414063e-05 1.2207031e-05 2.4414063e-05 1.2207031e-05 0.0 0.0 0.0 1.2207031e-05 0.0 1.2207031e-05 0.0 8.544922e-05 0.0 0.0 2.4414063e-05 0.0 0.0 3.6621095e-05 3.6621095e-05 0.79667723 3.708465e-05 0.00016070016 3.708465e-05 8.035008e-05 0.000117434734 5.5626977e-05 3.0903877e-05 1.8542325e-05 3.0903877e-05 3.708465e-05 5.5626977e-05 1.8542325e-05 5.5626977e-05 0.0 5.5626977e-05 0.03626261 1.2361551e-05 0.00022250791 0.00024105023 0.00018542325 0.000117434734 0.00056863134 0.00021014636 1.8542325e-05 7.41693e-05 6.1807755e-06 6.1807755e-06 6.1807755e-06 0.0 1.8542325e-05 2.4723102e-05 0.022912133 1.2361551e-05 0.0010074663 0.00028431567 0.00013597705 9.889241e-05 0.00053772744 0.00022250791 1.8542325e-05 5.5626977e-05 6.1807755e-06 6.1807755e-06 0.0 0.0 0.0 1.8542325e-05 0.011131576 0.00022250791 0.000117434734 9.889241e-05 0.00023486947 0.00017924249 0.00019160403 8.6530854e-05 0.00014215783 2.4723102e-05 2.4723102e-05 6.798853e-05 3.708465e-05 1.8542325e-05 4.9446204e-05 3.0903877e-05 0.031305626 0.00019778482 0.0024846718 0.00088385085 0.001100178 0.00026577333 0.0007046084 0.00046973894 9.889241e-05 5.5626977e-05 0.00010507318 6.1807754e-05 8.035008e-05 2.4723102e-05 0.00010507318 3.0903877e-05 0.01736798 2.4723102e-05 0.0062920293 0.00021632714 0.00022250791 0.00013597705 0.000661343 0.00029049645 1.2361551e-05 2.4723102e-05 1.2361551e-05 1.2361551e-05 6.1807755e-06 0.0 1.8542325e-05 1.8542325e-05 0.025928352 2.4723102e-05 0.017992238 0.00064280065 0.00061189674 0.00022250791 0.0033190763 0.0017306171 1.2361551e-05 2.4723102e-05 3.708465e-05 6.1807755e-06 6.1807755e-06 0.0 5.5626977e-05 1.8542325e-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 0.005142405 1.2361551e-05 0.0040051425 0.00012361551 0.0020581982 0.0006984276 0.00041411194 0.00019778482 0.0 0.0 0.0 6.1807755e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 70.42857 493.0 0.018255578 0.0020283975 0.0 0.0 0.0 0.0 0.0 0.0 0.00811359 0.0 0.0 0.0 0.0 0.0 0.004056795 0.0 0.004056795 0.0 0.0 0.0 0.0 0.004056795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10953347 0.0 0.004056795 0.22312373 0.0 0.0 0.111561865 0.0 0.10750507 0.0 0.0 0.0 0.0 0.10750507 0.0020283975 0.10953347 0.0 0.0 0.0020283975 0.0020283975 0.0 0.0 0.0 0.10953347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004056795 0.0020283975 0.004056795 0.0020283975 0.004056795 0.0 0.0020283975 0.0020283975 0.004056795 0.0 0.0 0.0 0.004056795 0.012170386 0.006085193 0.0020283975 0.0 0.010141988 0.004056795 0.0020283975 0.006085193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.4758003 0.0 0.0 0.0 1.0 81920.0 86016.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1305104800.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 2.0 10.0 10.0 6.0 2.0 6.0 2.0 0.0 512.0 4096.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.48982456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80980.0 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


Input: 0.16194105 0.027405636 0.022125514 0.007109474 0.014872465 0.0061564283 0.011231087 0.0060623614 0.0040523014 0.0055672727 0.021363078 0.007584759 0.0032403558 0.0034383913 0.0037280181 0.0034185876 0.0021066025 0.0053073512 0.0035448351 0.0038319868 0.0033344226 0.0022105712 0.0068668807 0.0053543844 0.0030645991 0.0040102187 0.0020075848 0.00226008 0.0026264456 0.0017798439 0.0017278596 0.006886684 0.006517843 0.001160983 0.0013763467 0.0016535963 0.002109078 0.0014085274 0.0027254634 0.0026363474 0.0067901416 0.0027873495 0.0034086858 0.0033467996 0.0030621237 0.003943382 0.003973087 0.0039532837 0.004049826 0.0030546973 0.0017427123 0.0030398448 0.0016882526 0.002589314 0.0016610227 0.0030051884 0.0034680965 0.001472889 0.0015001189 0.003349275 0.0018293528 0.002126406 0.0028046777 0.0064584324 0.003203224 0.0023640487 0.0015892348 0.0035745406 0.0033789806 0.002344245 0.0016659736 0.0043617315 0.0016040874 0.0023813767 0.0010050301 0.0017105315 0.0012624762 0.0021462096 0.0033641278 0.0035745406 0.0016387437 0.0023665242 0.0025967404 0.002594265 0.0026635772 0.0017550895 0.0013862484 0.004213205 0.0013144605 0.0013788221 0.0013268378 0.0018392546 0.0023244414 0.0023244414 0.002304638 0.006718354 0.001975404 0.008315015 0.0023987049 0.0038889218 0.0036587056 0.01219156 0.002393754 0.00390625 0.001797172 0.0076243663 0.0018244019 0.0018145002 0.0053147776 0.004676113 0.00658468 0.02167251 0.0075996118 0.0021907676 0.010684014 0.007483266 0.009072501 0.003958234 0.0021635378 0.0031512396 0.0024061312 0.0024927717 0.0019234197 0.008342245 0.0031512396 0.0044508474 0.0057999645 0.0060574105 0.0052429894 0.002114029 0.0018615336 0.0030200412 0.001512496 0.0015050697 0.002433361 0.0025150506 0.0008961106 0.0013812975 0.0010792934 0.0015149715 0.002611593 0.0014580362 0.001272378 0.0041983523 0.00088125793 0.0011684094 0.00062876265 0.0013986257 0.0009778002 0.0015496277 0.00078471564 0.00206452 0.0014110028 0.0009134387 0.0011931638 0.002193243 0.0010916706 0.0009976038 0.0014110028 0.0034408667 0.0018145002 0.0012055411 0.0015248733 0.002740316 0.00087383157 0.0028170547 0.0010669162 0.0022798835 0.0017847948 0.0013713958 0.0016758753 0.0036686074 0.0010792934 0.0013367395 0.0019159934 0.003354226 0.0017724176 0.0015372505 0.000680747 0.0013070342 0.0019357969 0.0016709245 0.0010124565 0.0024704926 0.0016436946 0.0019407478 0.0014035766 0.0020570937 0.0016585472 0.0021684887 0.0030645991 0.0057504554 0.0037626743 0.0035126545 0.0018417301 0.0032824383 0.0014159537 0.0013218869 0.0026190192 0.002237801 0.0011238514 0.0010446372 0.001339215 0.0016535963 0.0009728493 0.0012575253 0.0011585077 0.0022798835 0.0020546182 0.0021561114 0.0008837334 0.00206452 0.0018169757 0.0034532438 0.0011411795 0.001797172 0.0019679777 0.0010149318 0.0018491563 0.0024308856 0.001009981 0.0018788617 0.0018516318 0.0046068006 0.005389041 0.0040052678 0.0017229087 0.0023293924 0.0031116325 0.0015966612 0.0010867197 0.001975404 0.0032007485 0.0014753644 0.003950808 0.0014803152 0.0019630268 0.0023813767 0.00125505 0.0029334007 0.006641615 0.0023615733 0.001886288 0.0017031052 0.0032626346 0.004240435 0.002388803 0.002282359 0.0075699063 0.0018219264 0.0052924985 0.002472968 0.0072183935 0.005015249 0.008243227 0.0054831076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035770019 7.951654e-05 0.00012424459 0.0007628618 0.00022115538 0.00021494314 0.0015021171 0.00053797907 1.2424459e-06 1.2424459e-06 0.0 0.0002571863 3.1061147e-05 0.00023482228 1.1182014e-05 7.703165e-05 0.025660235 0.0013716603 0.0019456703 0.0016338164 0.0046566874 0.0037969148 0.0267598 0.014552769 0.00017518488 9.1941e-05 0.00012672949 9.069855e-05 0.00010063812 0.00024476185 7.206186e-05 0.00014536617 0.14755288 0.014877047 0.017486185 0.0050617247 0.008058504 0.0051201195 0.024168057 0.01846399 0.0016909689 0.0014747833 0.0014524193 0.00126481 0.0010908676 0.0019071545 0.0014859653 0.0032974514 0.036780126 0.0062370785 0.00539967 0.0031645098 0.0018003042 0.0008871064 0.0057214634 0.0071092756 0.00064234453 0.00071067904 0.0004062798 0.0006783755 0.00039634024 0.0003950978 0.00033421794 0.0005839496 0.02886326 0.004552322 0.0029619911 0.0037969148 0.0014412373 0.0008038625 0.002159371 0.0013145078 0.0036403665 0.0010324726 0.0018773358 0.000930592 0.0015170265 0.00077652873 0.0017928495 0.0010635337 0.0064271726 0.0012884164 0.0008026201 0.0013045683 0.0004733719 0.00041497694 0.0006684359 0.00030439926 0.00078895316 0.00016400286 0.0007628618 0.00023854962 0.00047958412 0.00016400286 0.0008436208 0.00014163884 0.0055015506 0.0012225668 0.0008920762 0.0011567172 0.00095916825 0.0007442251 0.0014375099 0.0006920424 0.00040752225 0.00013169927 0.00045349277 0.00032055104 0.0002410345 0.00016027552 0.00060010137 0.00034664242 0.0042330134 0.00056904025 0.0007057093 0.00089456106 0.00096662296 0.0005814647 0.0024836494 0.0012995985 0.0003839158 0.00021494314 0.00048331148 0.00039882516 0.0003839158 0.0003379453 0.00058519206 0.00074546755 0.0077354684 0.0012486582 0.0016971811 0.0020835819 0.0024538308 0.0015356631 0.00454114 0.0033359674 0.0011331107 0.0009442589 0.0010834129 0.0011567172 0.0013691754 0.0012474157 0.001287174 0.0027706544 0.041495208 0.02562669 0.018836724 0.024045056 0.018593203 0.024764432 0.020528935 0.033372097 0.025877664 0.01741785 0.023975478 0.026852984 0.025323533 0.026626859 0.032993153 0.058962755 1545.0 18.693851 28882.0 0.008413545 0.00048473096 0.0010040856 0.00045010733 0.00024236548 0.0 0.00048473096 0.00024236548 3.462364e-05 0.0001731182 0.00038086006 0.0005193546 0.0064053736 0.0015926874 0.016030746 0.0011079565 0.010421716 0.006647739 0.002492902 0.004604944 0.003081504 0.0048473096 0.0014541929 0.0042933314 0.0022851604 0.0011425802 0.0004154837 0.0003462364 0.0005886019 0.006163008 0.00072709646 0.0016273111 0.00024236548 0.009521501 0.0058513954 0.019735476 0.014922789 0.0047780625 0.0035316113 0.0040855897 0.0010387092 0.004985804 0.00031161276 0.0026313968 0.0010040856 0.002700644 0.009659996 0.005124299 0.004951181 0.0012810747 0.0146458 0.013330102 0.010594835 0.002215913 0.004951181 0.002319784 0.0013156984 0.00031161276 0.0004154837 0.0001731182 0.0010733329 0.0006232255 0.0006232255 0.02063569 0.0003462364 0.057959974 0.01693096 0.0184544 0.025656117 0.111038014 0.009071394 0.020081712 0.0062322556 0.048161484 0.0014888166 0.004639568 0.03936708 0.030988159 0.05266256 0.051104493 0.012014403 0.005505159 0.0528703 0.033030953 0.072501905 0.030157192 0.006093761 0.014818918 0.0053320406 0.01017935 0.0019389238 6.924728e-05 0.00031161276 0.0010040856 0.0003462364 0.001350322 5.2444677 1.0 0.0 0.0 1.0 403968.0 425984.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1479678200.0 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 -2.0 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 6.0 0.0 401408.0 512.0 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 -401408.0 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 -6.9858885 0.0 4.27915 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 -401012.0 0.0 1408.0 0.0 0.0 0.0 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 87.0 409108.0 1408.0 409600.0 0.0 0.0 0.0 0.0 12.0 417792.0 28.0 408796.0 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: 0.056672093 0.008301028 0.0061742584 0.005649296 0.0057580164 0.0049721263 0.0041965907 0.005416325 0.005043571 0.0056296233 0.0037420376 0.0044575185 0.004947276 0.0031766938 0.0043270546 0.0046397536 0.0050383937 0.0037596398 0.004929674 0.004156209 0.0043560467 0.0031818708 0.0041096145 0.003844545 0.0050767045 0.0033496104 0.0031694458 0.0029364745 0.004148961 0.0034490114 0.0037834547 0.0037948445 0.006165975 0.003815553 0.0034811096 0.0030151668 0.0048830793 0.004159315 0.0038362616 0.0037223643 0.004722588 0.0038880329 0.0033351143 0.003092824 0.0043684714 0.0037254707 0.0037234 0.0035846524 0.005517797 0.003955336 0.003100072 0.0029012698 0.0036695576 0.0030679738 0.002689007 0.00286503 0.0041779527 0.0033185475 0.0035121725 0.0033516812 0.003998824 0.003225359 0.0035069953 0.003462472 0.0065956777 0.0039543 0.0036188215 0.0032150047 0.004154138 0.003221217 0.0035484126 0.0030700446 0.005003189 0.003772065 0.0037099393 0.0035846524 0.004129288 0.003129064 0.0035598022 0.0034655782 0.0051740347 0.0036281405 0.003656097 0.0033278663 0.003925308 0.0033786022 0.0033620354 0.0035308101 0.0046314704 0.0036498844 0.003808305 0.0035049245 0.00411065 0.0033910275 0.0036985495 0.0037886319 0.0059164367 0.0036353886 0.0033516812 0.0029540767 0.0040081427 0.0030576196 0.0032636698 0.003031734 0.0049710907 0.0031684104 0.0032098275 0.0030483007 0.0035784398 0.002839144 0.0030845406 0.0031922252 0.004499971 0.0032916262 0.0032305361 0.003145631 0.0038952809 0.0033454685 0.0032916262 0.003629176 0.004621116 0.0032999096 0.0034800742 0.003165304 0.004037135 0.0032005087 0.0034645428 0.0033423624 0.008647896 0.0045983368 0.004016426 0.0035287393 0.0043757195 0.0034386571 0.0030120607 0.0033868856 0.0045351754 0.0038362616 0.0029551121 0.0031963668 0.0037347896 0.0028101522 0.0028494985 0.0029768562 0.0052361605 0.0032067213 0.0034924995 0.0030265567 0.003670593 0.0031860126 0.003303016 0.0032678114 0.00454553 0.0028370733 0.0030431235 0.002703503 0.0035163143 0.003232607 0.0029820332 0.0031694458 0.005003189 0.0034075943 0.003281272 0.0027925498 0.003769994 0.0030162025 0.003065903 0.0031798 0.004136536 0.0029975646 0.0031280287 0.0030151668 0.003641601 0.0028443213 0.0029157659 0.0030389817 0.004671852 0.0031135327 0.0038383324 0.0028567465 0.003569121 0.0031539144 0.003000671 0.0031228515 0.004249397 0.0031487371 0.003322689 0.0031704812 0.0036509198 0.0031860126 0.00332476 0.0033547874 0.006712681 0.0040650913 0.0037171873 0.0033371851 0.004112721 0.0032584926 0.003303016 0.0032388195 0.004340515 0.00332476 0.0031166389 0.003080399 0.0036498844 0.0029830686 0.0030721156 0.0028018688 0.004248362 0.0032750594 0.003085576 0.0029954938 0.003714081 0.0030296629 0.0029416515 0.0029551121 0.0039760442 0.0031083554 0.0027262825 0.0026393065 0.0035297747 0.0029468287 0.0035825816 0.0028878092 0.004954524 0.0032346777 0.0033858502 0.002978927 0.0038124467 0.0030752218 0.0031932606 0.002899199 0.004447164 0.0054587773 0.0034645428 0.003141489 0.0037855254 0.0030741864 0.003239855 0.0031891188 0.0046149036 0.0033185475 0.0034158777 0.003036911 0.0037441084 0.003087647 0.0033133703 0.00325228 0.004355011 0.0030306983 0.0031829064 0.0028588173 0.0040102135 0.0030938594 0.0042162635 0.004514467 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099158935 0.062037118 0.06240877 0.05532351 0.06061737 0.059559945 0.054983474 0.05450038 0.060486745 0.05319363 0.052136205 0.05294897 0.056427587 0.050558362 0.05663959 0.053817715 4025.0 5.704099 22959.0 0.01711747 0.010496973 0.009364519 0.008624069 0.013415218 0.012456989 0.011760094 0.011542315 0.012631212 0.009756522 0.008493401 0.008580513 0.013850777 0.010584084 0.01180365 0.009887191 0.016769024 0.011847205 0.008754737 0.007535171 0.009800078 0.008493401 0.007796507 0.008319178 0.010235637 0.00840629 0.009582299 0.008841849 0.011542315 0.009016072 0.009800078 0.009277408 0.0180757 0.010888976 0.010409861 0.009103184 0.010801864 0.008885404 0.0106711965 0.008362734 0.01424278 0.011585871 0.009756522 0.008972516 0.011411647 0.009364519 0.011629426 0.009582299 0.014765452 0.009582299 0.009974302 0.0090596285 0.012152097 0.009364519 0.009625855 0.009756522 0.013632998 0.009190296 0.010584084 0.009538743 0.011106756 0.009843634 0.010409861 0.0106711965 0.017901476 0.010976088 0.009712966 0.00818851 0.013110328 0.0082320655 0.009364519 0.008319178 0.01541879 0.009277408 0.008885404 0.008667625 0.011324535 0.007970731 0.009887191 0.007970731 0.013197439 0.007927175 0.008754737 0.008754737 0.011542315 0.009538743 0.008319178 0.007970731 0.010976088 0.008841849 0.011977874 0.008536957 0.011237423 0.0090596285 0.009974302 0.008798293 6.554753 0.0 0.0 0.0 14.0 965784.0 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: 0.056733772 0.008303843 0.006174759 0.005657518 0.0057611736 0.004965099 0.0041949386 0.005420147 0.005051133 0.005625385 0.0037450737 0.0044623697 0.0049433317 0.0031749685 0.004322435 0.004643767 0.0050407676 0.0037544027 0.004938149 0.0041586594 0.004352495 0.003180151 0.004108905 0.003840437 0.0050770473 0.003334598 0.0031697857 0.002931378 0.0041514034 0.0034475825 0.003786536 0.003797938 0.0061643934 0.0038124498 0.0034880082 0.0030184486 0.004883211 0.0041659153 0.003840437 0.0037253792 0.0047225454 0.003891228 0.0033314882 0.0030941172 0.0043680435 0.0037160502 0.003721233 0.0035823346 0.005513437 0.0039554946 0.0030972268 0.0029023543 0.0036776976 0.00306924 0.0026898605 0.0028629652 0.0041752444 0.0033149035 0.0035170317 0.0033428904 0.004003176 0.0032205768 0.0035056295 0.0034662404 0.0066028563 0.0039575677 0.0036196506 0.003215394 0.004150367 0.0032143574 0.0035460552 0.0030650937 0.0050013787 0.0037720243 0.0037036117 0.0035844077 0.0041348184 0.0031262503 0.0035553842 0.0034662404 0.00517241 0.00362587 0.0036517838 0.0033335614 0.003926471 0.003381243 0.0033636214 0.003534653 0.0046385843 0.003648674 0.0038041575 0.0035097757 0.004105795 0.0033853892 0.0036942826 0.003788609 0.005911474 0.003633126 0.0033418539 0.002957292 0.004010432 0.0030536915 0.0032568562 0.0030288142 0.004972355 0.0031687492 0.0032008823 0.003054728 0.003579225 0.0028370514 0.0030930806 0.0031905167 0.004501759 0.0032817337 0.0032288693 0.0031438717 0.0038870818 0.003336671 0.0032983185 0.0036217237 0.004627182 0.0032952088 0.0034755694 0.0031708223 0.0040373825 0.003194663 0.0034662404 0.003336671 0.008654199 0.0045971223 0.004021834 0.0035315433 0.0043752994 0.0034361803 0.0030194852 0.003388499 0.004539075 0.0038300713 0.0029562553 0.0031884436 0.003728489 0.0028069913 0.002847417 0.0029769863 0.0052418592 0.0032081383 0.0034900813 0.0030257045 0.0036611129 0.0031842974 0.0033014282 0.0032682584 0.004546331 0.0028432708 0.0030391796 0.0027064455 0.0035118489 0.003234052 0.0029863154 0.003157347 0.0050044884 0.003404047 0.003276551 0.002793516 0.0037720243 0.0030236314 0.0030578377 0.0031842974 0.004141038 0.0029935713 0.0031303966 0.0030205217 0.0036424547 0.0028360148 0.00291272 0.0030391796 0.0046727904 0.003122104 0.003846656 0.0028505267 0.0035678227 0.0031563104 0.0029935713 0.0031262503 0.00424884 0.0031438717 0.0033314882 0.0031697857 0.0036528204 0.003187407 0.003320086 0.0033563655 0.00672206 0.00405915 0.0037243427 0.0033397807 0.004114087 0.0032516734 0.0033003916 0.0032371618 0.0043400563 0.0033304517 0.0031148482 0.003075459 0.0036445279 0.0029842423 0.0030785687 0.002808028 0.00424573 0.0032744778 0.0030889343 0.0029977176 0.0037160502 0.0030184486 0.00294278 0.0029562553 0.0039782985 0.0031086288 0.0027292497 0.0026359598 0.0035315433 0.0029458897 0.003588554 0.0028857696 0.004949551 0.0032371618 0.0033895352 0.002978023 0.0038124498 0.0030723496 0.003194663 0.0029023543 0.0044374927 0.005459536 0.0034703866 0.0031397257 0.0037834262 0.0030775322 0.003239235 0.0031905167 0.004610597 0.0033252689 0.0034154493 0.003033997 0.0037430006 0.0030868612 0.0033107572 0.0032496003 0.004350422 0.0030350336 0.0031832608 0.002861929 0.0040135416 0.0030941172 0.004217743 0.0045193806 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099201 0.062027805 0.06241698 0.05531848 0.060608104 0.05955371 0.054962516 0.05447008 0.06048772 0.05317803 0.05212467 0.052954905 0.056428917 0.050556567 0.056631286 0.053818867 4021.0 5.703805 22935.0 0.017135382 0.010464355 0.00941792 0.008589492 0.013385655 0.012470024 0.011772401 0.011554393 0.012600829 0.009766732 0.008502289 0.008633094 0.013865272 0.010595161 0.011859603 0.009897537 0.016742969 0.011903205 0.008676695 0.0075430563 0.009853935 0.008502289 0.0078482665 0.008327883 0.010246349 0.008415086 0.009592326 0.008851101 0.011597995 0.009025507 0.009810333 0.009243514 0.018138217 0.010900371 0.010377153 0.00911271 0.010813167 0.008851101 0.010725965 0.008284282 0.014257684 0.011597995 0.009766732 0.008981905 0.011423589 0.009374319 0.0116415955 0.009592326 0.014780902 0.009592326 0.009941138 0.009069108 0.012077611 0.00941792 0.009548725 0.009766732 0.013647264 0.009199913 0.010551559 0.009505123 0.0111183785 0.009810333 0.010377153 0.010682363 0.01792021 0.010987573 0.009723131 0.0081970785 0.013124046 0.00824068 0.009374319 0.008327883 0.0154349245 0.009330717 0.008894702 0.008676695 0.011336385 0.007979072 0.009897537 0.00793547 0.013167648 0.00793547 0.008720296 0.008763898 0.011510791 0.009505123 0.0083714845 0.007891868 0.011031175 0.0088075 0.011903205 0.008502289 0.011205581 0.008981905 0.009984739 0.008720296 6.554613 0.0 0.0 0.0 14.0 964734.0 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: 0.13242966 0.014584996 0.0089360885 0.007029277 0.0065606586 0.0059108958 0.0059399446 0.0030547895 0.00873302 0.0027179872 0.0030747948 0.0028171916 0.0043099197 0.0034184484 0.0021814052 0.020815155 0.008402521 0.0031805765 0.002031502 0.0023852955 0.0025886374 0.0075346176 0.0024091373 0.0017179936 0.004236475 0.0015012233 0.0015535661 0.0015538401 0.0016938776 0.0013869462 0.0013165164 0.0019553173 0.007906224 0.0011811377 0.0020095785 0.0014762852 0.02356082 0.0016552372 0.0010624758 0.0010734377 0.005261133 0.0011057751 0.0009871132 0.0027253863 0.001283905 0.0009361407 0.000907914 0.0022227862 0.0065962845 0.0017834906 0.0013987302 0.0073085297 0.0021128939 0.00071662996 0.0016434531 0.0009342224 0.00333322 0.0026067244 0.00063003146 0.0046078074 0.001075082 0.0008325514 0.0005179467 0.0007681506 0.0067357738 0.018575104 0.0021540006 0.0031389215 0.014900971 0.011231771 0.0018840655 0.0022236083 0.06053372 0.00949706 0.0011315354 0.0014845065 0.012318636 0.006566413 0.0014390149 0.0014420294 0.004974207 0.0010260278 0.0013071989 0.0020350646 0.003296224 0.0032285345 0.001917499 0.0027969123 0.0026086427 0.00073855364 0.0006070116 0.0013444691 0.0042619617 0.0019501105 0.0016842859 0.0024455856 0.0031981154 0.002198396 0.0007292361 0.002586445 0.0033181475 0.0052170116 0.0034905225 0.0012296438 0.0026086427 0.002568358 0.00047519556 0.00089448574 0.0027368963 0.0011545554 0.0025798678 0.0027854024 0.004787856 0.0005870063 0.0033666536 0.0030383468 0.011960458 0.005447758 0.0011605843 0.0012225186 0.002538487 0.0011460598 0.0005623422 0.00074156816 0.0023252794 0.0012754095 0.00078925217 0.0012038836 0.0031723552 0.0025658915 0.0009728629 0.010915795 0.006653012 0.012321102 0.00089667813 0.0012353988 0.003302527 0.019912448 0.0013055545 0.052030627 0.0019561395 0.012524719 0.0006086559 0.00078103074 0.0024444892 0.00059276127 0.0005787849 0.0004825948 0.0011956622 0.00067168643 0.00042093446 0.0005993383 0.0015667203 0.0006368826 0.00038393828 0.00041654974 0.0010761782 0.0004269635 0.00037818332 0.0005206872 0.0019487402 0.0005439811 0.00043326654 0.0004760177 0.000770343 0.00044121387 0.00041682378 0.0005426108 0.001839944 0.0004521757 0.000489994 0.00048286884 0.00075362617 0.00039407797 0.00042367494 0.0010295904 0.0018070586 0.00042531922 0.0005609719 0.00043107418 0.00083721016 0.0004354589 0.0013006218 0.0024718938 0.00296134 0.0016324914 0.0019681975 0.0008857163 0.0010290423 0.0005730299 0.0006873071 0.0011131744 0.010486365 0.004941047 0.0022436136 0.0045420364 0.0035467017 0.0009802621 0.0017933563 0.0031909903 0.0035861644 0.003392962 0.001320353 0.0020969992 0.024129739 0.001056995 0.0018939311 0.0022252526 0.0030937039 0.0015776821 0.0025182075 0.0012436202 0.0007640399 0.00069388415 0.0011677095 0.0013661187 0.0024886106 0.0012863714 0.00078459334 0.0019512067 0.0008673552 0.0004993116 0.00064592616 0.00088599033 0.0033318498 0.0011422232 0.00097258884 0.0008552972 0.0010046522 0.0004916383 0.00072019256 0.0008624224 0.010674361 0.005272369 0.0012499233 0.003977776 0.0031370032 0.0011202996 0.0009298377 0.0010843995 0.003918856 0.0014360005 0.001499031 0.0016766127 0.0012597889 0.0008755766 0.0028525435 0.0026428986 0.0031430323 0.0018232273 0.0012581446 0.0010252056 0.0011449637 0.0011331798 0.0017939043 0.026735917 0.0008207018 1.3708065e-07 2.741613e-07 2.741613e-07 1.919129e-06 2.0562097e-06 1.3159742e-05 3.5640967e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.3708065e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005239222 1.0966452e-05 8.773161e-06 5.2090645e-06 2.1932904e-06 1.919129e-06 3.5640967e-06 1.0966452e-06 2.741613e-07 0.0 0.0 9.595645e-07 1.3708065e-07 0.0 1.3708065e-07 2.330371e-06 0.0004930791 8.773161e-06 6.4427904e-06 1.2337257e-05 1.7820483e-06 1.0966452e-06 5.2090645e-06 2.0562097e-06 6.854032e-06 6.854032e-07 1.2337258e-06 1.3708065e-07 2.6045323e-06 2.741613e-07 4.1124193e-07 1.8505887e-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 0.00041274983 9.321484e-06 8.224839e-06 9.458564e-06 6.250877e-05 7.950677e-06 2.2755386e-05 1.1788935e-05 1.6449677e-06 0.0 1.6449677e-06 1.3708065e-07 2.741613e-06 0.0 4.1124193e-07 1.0143967e-05 0.001755866 2.8924016e-05 2.8375693e-05 6.360542e-05 0.00019958941 0.0001281704 0.0005254301 0.0002350933 1.1103532e-05 6.4427904e-06 9.595645e-06 1.9054209e-05 2.755321e-05 1.3570983e-05 8.910241e-06 2.6867807e-05 0.007395912 0.00022083691 0.00021590201 0.0007708045 0.002401653 0.0014701899 0.00734574 0.005024965 0.00013557276 0.00011185781 0.00021014463 9.9931785e-05 0.0001990411 0.00010829371 5.3050207e-05 6.429082e-05 0.00578261 0.00019533992 0.00034928147 0.0006945876 0.0008335874 0.0005913659 0.002905287 0.0015647756 0.00012255009 0.00016257765 0.00013982225 0.00011336569 0.00025195422 8.4030435e-05 0.00010980159 0.00013612107 0.015619516 0.0031917857 0.0011716282 0.0014962353 0.0032972007 0.0023721806 0.0065994733 0.003923385 0.00032104287 0.00025592957 0.00038067295 0.00025305088 0.0006193303 0.0004361906 0.0005352999 0.0005152861 0.0196904 0.0051665693 0.0018791015 0.0019590196 0.00084469095 0.0012988391 0.0021225568 0.0016078189 0.0004693641 0.00047073493 0.0003666907 0.00042220837 0.00086634967 0.00074489624 0.00079520483 0.00088005775 0.0048712976 0.0005828669 0.00080397795 0.00081754895 0.00066059164 0.0003993159 0.00058012526 0.00048828125 0.0004411255 0.00028773225 0.0006930797 0.00027004885 0.00051240745 0.00027443544 0.00027512084 0.00039465516 0.018012397 0.0025307827 0.003921603 0.0027898652 0.0077218898 0.0016710131 0.0012501754 0.0016035694 0.007632239 0.001145857 0.0009851985 0.0014800597 0.0038563525 0.0012368787 0.0018903421 0.0023503846 0.13566844 0.027652455 0.040009454 0.023616252 0.119957626 0.024009949 0.013453917 0.023234483 0.10480734 0.007972199 0.0069483435 0.013438152 0.05515097 0.015662834 0.026401594 0.039444406 0.021135917 0.0057091345 0.006818117 0.00448898 0.019179638 0.004127361 0.002789591 0.004304469 0.017106978 0.0018308491 0.0014340006 0.0028756778 0.009805242 0.0031221488 0.006610714 0.010222103 0.00028992555 0.00014873249 0.0001458538 0.00014037058 0.00014462008 0.00014557964 0.00015394157 0.00014969206 0.00014503131 0.00014379759 0.00014859541 0.00014640213 0.00015339324 0.00014955498 0.00015284492 0.00016833503 17388.0 12.837359 223216.0 0.012239266 0.0019263852 0.0004300767 0.0009318328 0.02227887 0.0007974339 0.00047935633 0.0004300767 0.004023009 0.0009407928 0.00045247652 0.0031583759 0.0012633502 0.00060479535 0.0014111892 0.0003404774 0.004565085 0.0007929539 0.0012857501 0.007288904 0.0010035123 0.00047935633 0.0004300767 0.00035391728 0.003144936 0.0089330515 0.0017651065 0.0052549997 0.00091391295 0.0007257544 0.0005062361 0.0022534227 0.013180058 0.08195201 0.0048831627 0.01043832 0.020307684 0.018027382 0.005617877 0.008046018 0.029858971 0.013583256 0.0022803026 0.002468461 0.012163106 0.006392911 0.0072172247 0.0051519605 0.013144219 0.0024460612 0.007042506 0.0156754 0.017113468 0.019259373 0.020159844 0.023174861 0.0042649275 0.000649595 0.0021279836 0.0033330943 0.01167927 0.012243746 0.016844671 0.021096159 0.0027596587 0.026171958 0.0046098847 0.019236973 0.02091696 0.061899684 0.008780733 0.011101355 0.007535302 0.030548885 0.0011871909 0.004699484 0.017552504 0.008270017 0.02978729 0.033344384 0.020621281 0.0010841517 0.034303095 0.02723371 0.05338775 0.018448498 0.0056537166 0.0058015552 0.0077503403 0.005729876 0.0015052684 0.0005286359 0.0037542111 0.0011110315 0.0005062361 0.0009497527 5.678852 0.0 0.0 0.0 7.0 3649024.0 3731456.0 1.0 2365.0 2049.0 1.0 1.0 0.0 0.0 0.0 2851285200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 10.0 0.0 2989568.0 1024.0 4096.0 12.0 0.0 0.0 3.0 2.0 0.0 0.0 0.0 0.0 2560.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 306688.0 0.0 0.0 0.0 0.0 128512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 86528.0 0.0 8704.0 -2977792.0 -90112.0 1536.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 0.0 6.174825 -5.433234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.793853 0.0 0.0 0.0 0.0 6.3604507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0008335 0.0 0.0 0.0 0.0 0.0 5.912185 0.0 5.8073072 -6.473475 -5.3594203 3.4131083 0.0 0.0 0.0 -5.288423 0.0 0.0 0.0 0.0 0.0 0.0 2240.0 -3960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 306596.0 0.0 0.0 0.0 0.0 128232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82206.0 0.0 0.0 0.0 0.0 0.0 86366.0 0.0 8958.0 -2977774.0 -89786.0 1056.0 0.0 0.0 0.0 -14732.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 2.0 -1.0 -1.0 3.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 2.0 1.0 2.0 2.0 2.0 0.0 -2.0 -2.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -4.0 -3.0 2.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 1.0 -2.0 2.0 0.0 -1.0 0.0 -3.0 -1.0 3.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 -3.0 1.0 3.0 0.0 -1.0 0.0 1.0 1.0 -2.0 2.0 1.0 1.0 -3.0 1.0 4.0 -2.0 0.0 0.0 3.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 2.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 -2.0 1.0 0.0 -1.0 5.0 0.0 1.0 0.0 -2.0 0.0 0.0 2.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -3.0 -2.0 0.0 -1.0 0.0 -3.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 3.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 -2.0 -2.0 0.0 3.0 0.0 -1.0 2.0 -1.0 -1.0 2.0 -1.0 1.0 2.0 1.0 3.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 3.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 1.0 -2.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 -4.0 -1.0 -3.0 -3.0 1.0 1.0 0.0 0.0 1.0 1.0 -2.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 3.0 0.0 -3.0 0.0 2.0 1.0 0.0 -2.0 0.0 -1.0 2.0 0.0 1.0 0.0 -2.0 0.0 -2.0 1.0 0.0 -1.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 -1.0 2.0 1.0 -1.0 1.0 0.0 2.0 -1.0 -1.0 1.0 -2.0 -2.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 -1.0 2.0 -1.0 2.0 1.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 4.0 -2.0 -2.0 1.0 1.0 0.0 -3.0 -2.0 -1.0 1.0 2.0 2.0 0.0 0.0 3.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 2.0 -2.0 1.0 1.0 0.0 1.0 1.0 2.0 0.0 -2.0 0.0 -2.0 0.0 -2.0 3.0 -2.0 0.0 -4.0 -1.0 0.0 -1.0 3.0 0.0 -2.0 2.0 -1.0 -1.0 2.0 0.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 -2.0 -2.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 3.0 0.0 -2.0 0.0 3.0 1.0 2.0 3.0 2.0 -2.0 0.0 1.0 0.0 1.0 1.0 0.0 -2.0 3.0 -1.0 -1.0 2.0 -1.0 0.0 1.0 -2.0 1.0 2.0 -1.0 0.0 -1.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 2.0 2.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 2.0 1.0 2.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 -4.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 5.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 -2.0 1.0 0.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 -3.0 0.0 -3.0 1.0 -1.0 1.0 3.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 2.0 1.0 1.0 -2.0 0.0 0.0 0.0 -1.0 -2.0 2.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 2.0 -1.0 -2.0 2.0 -1.0 -1.0 4.0 2.0 2.0 0.0 0.0 -1.0 1.0 1.0 2.0 0.0 3.0 2.0 1.0 -1.0 0.0 1.0 1.0 -1.0 1.0 1.0 -2.0 1.0 1.0 -1.0 2.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 4.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 -2.0 -1.0 0.0 0.0 2.0 -2.0 2.0 3.0 0.0 1.0 2.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 2.0 1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 3.0 -1.0 3.0 2.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -3.0 -1.0 0.0 0.0 1.0 -1.0 -3.0 2.0 -1.0 2.0 0.0 2.0 3.0 0.0 -5.0 -1.0 2.0 -2.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 1.0 -1.0 2.0 -2.0 0.0 1.0 0.0 -2.0 2.0 -1.0 0.0 0.0 1.0 0.0 -3.0 -3.0 -1.0 1.0 1.0 2.0 0.0 1.0 -3.0 2.0 0.0 0.0 -1.0 1.0 1.0 1.0 -1.0 1.0 0.0 -2.0 -1.0 -1.0 3.0 2.0 1.0 -1.0 0.0 -2.0 2.0 -1.0 1.0 1.0 1.0 2.0 -2.0 0.0 -1.0 1.0 -1.0 6.0 3.0 0.0 1.0 3.0 0.0 0.0 -1.0 -2.0 -1.0 2.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 -3.0 2.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 3.0 -2.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 -3.0 -1.0 0.0 0.0 2.0 -1.0 1.0 0.0 1.0 0.0 3.0 -1.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 3.0 -1.0 2.0 2.0 -1.0 -1.0 -1.0 -2.0 2.0 2.0 -2.0 -2.0 -1.0 0.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 2.0 -1.0 1.0 0.0 1.0 2.0 1.0 3.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 2.0 0.0 3.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 1.0 -4.0 2.0 1.0 -1.0 1.0 2.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 1.0 2.0 0.0 2.0 -4.0 -2.0 -2.0 1.0 0.0 0.0 2.0 1.0 0.0 -2.0 1.0 -3.0 -1.0 -2.0 1.0 0.0 1.0 0.0 3.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 1.0 1.0 3.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 -3.0 3.0 1.0 1.0 -1.0 2.0 0.0 -1.0 3.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 2.0 1.0 1.0 -2.0 0.0 2.0 2.0 -1.0 0.0 -1.0 1.0 -3.0 0.0 2.0 -1.0 -1.0 -1.0 -2.0 -1.0 -1.0 -2.0 -1.0 2.0 1.0 3.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 -4.0 2.0 2.0 -1.0 0.0 -1.0 -3.0 0.0 0.0 1.0 -3.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 2.0 2.0 1.0 2.0 -2.0 1.0 -2.0 1.0 1.0 1.0 2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 3.0 -3.0 1.0 0.0 0.0 1.0 1.0 0.0 3.0 -4.0 -8.0 -2.0 -5.0 -1.0 0.0 -6.0 -7.0 -7.0 8.0 1.0 7.0 6.0 3.0 -1.0 -4.0 -6.0 -1.0 1.0 -7.0 -3.0 8.0 3.0 -5.0 5.0 -9.0 -2.0 -3.0 -1.0 -1.0 -6.0 1.0 5.0 -5.0 2.0 4.0 5.0 3.0 3.0 0.0 0.0 -1.0 -8.0 -3.0 -4.0 -10.0 2.0 -11.0 0.0 2.0 -7.0 2.0 -2.0 -10.0 -3.0 0.0 -12.0 9.0 1.0 -1.0 0.0 -7.0 3.0 -5.0 -2.0 -1.0 -4.0 -2.0 -4.0 -1.0 -4.0 6.0 2.0 -3.0 14.0 -4.0 0.0 1.0 5.0 -4.0 6.0 -8.0 1.0 3.0 4.0 4.0 -1.0 -1.0 8.0 1.0 1.0 5.0 -4.0 -3.0 -6.0 1.0 -5.0 2.0 0.0 7.0 -4.0 -1.0 0.0 1.0 -3.0 4.0 -6.0 -2.0 1.0 1.0 5.0 3.0 -5.0 -2.0 8.0 0.0 5.0 0.0 -6.0 12.0 0.0 3.0 4.0 0.0 -2.0 -5.0 1.0 5.0 86366.0 3604480.0 220.0 3522664.0 1056.0 3723264.0 128232.0 3375104.0 0.0 0.0 3960.0 3727360.0 84.0 3017056.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 2983056.0 0.0 0.0 16472.0 3506176.0 0.0 0.0 0.0 0.0