Input: 0.02717054 0.0049949624 0.004128585 0.0039970493 0.005144689 0.0037465717 0.0037635635 0.0036786047 0.005213056 0.0034719056 0.003635026 0.0034757038 0.004551379 0.0035136854 0.003434724 0.0049110036 0.00444683 0.0034793022 0.0034553139 0.003430526 0.0041205892 0.003530877 0.0035278783 0.0035914474 0.0038229343 0.0034860987 0.0033531636 0.003440521 0.0036470203 0.0033767521 0.0033057868 0.0034491168 0.00399585 0.0034835 0.003643422 0.0036650114 0.0044676196 0.003532876 0.003368556 0.00331958 0.0035786536 0.0034683074 0.0033511645 0.0037203846 0.0035678588 0.0035494678 0.0033755528 0.003407737 0.0037001944 0.003555465 0.0035732563 0.0043800627 0.0035888487 0.0036714084 0.0034317253 0.0034193313 0.0036694093 0.0036552162 0.003436523 0.00397486 0.0036390242 0.0037457722 0.0034123347 0.0036941972 0.003891101 0.0038289314 0.0036548164 0.003684402 0.0039288825 0.0053677806 0.0039702626 0.0035298774 0.0044722175 0.0039604674 0.004073412 0.0034023398 0.003807342 0.0043206913 0.0035014914 0.0034087365 0.0046851137 0.0037793557 0.0035500675 0.003764163 0.0035392728 0.0041603697 0.004090604 0.003845923 0.003737376 0.0042533246 0.0033843485 0.0035216815 0.003436323 0.004225338 0.003809341 0.0037229832 0.0033857478 0.0037037926 0.0034477175 0.003547269 0.0037287804 0.0039288825 0.0042017493 0.0035220813 0.0037185852 0.0036050407 0.0042577223 0.0034541143 0.0036178345 0.0035166838 0.003623032 0.003537074 0.003551067 0.0034457184 0.0038942995 0.0039010963 0.0050333436 0.005434148 0.0035092875 0.0034838999 0.003528678 0.0034699067 0.0034255283 0.003395543 0.0034872983 0.0037467715 0.003803344 0.0034882978 0.0037441729 0.0035788536 0.0034123347 0.0057409983 0.003963466 0.004780067 0.0036256306 0.0033967423 0.0037163864 0.0051876684 0.0036294288 0.009678877 0.0036198336 0.005135894 0.003387147 0.00336096 0.003413734 0.0033901457 0.0033949432 0.0034209306 0.0035742559 0.0034027395 0.0033883464 0.0033529638 0.0036654114 0.0035814522 0.0034611109 0.0035848506 0.0035406721 0.0035792533 0.003425928 0.003502091 0.0035300774 0.0035078882 0.0033403698 0.003418132 0.0034299262 0.0033873469 0.0034665084 0.0033659574 0.0034115352 0.0033253771 0.0033927443 0.0034411207 0.0034483173 0.0034207306 0.003350365 0.0033307746 0.003538873 0.0033457673 0.0033971423 0.0035182831 0.0034679077 0.003604641 0.0036672105 0.0035538657 0.003596245 0.003528278 0.0033665572 0.0034397214 0.003444919 0.0034912962 0.0034663083 0.0034177322 0.0046733194 0.0040150406 0.003860716 0.004581564 0.0039272835 0.0034319253 0.0038575176 0.004075811 0.0037987463 0.0037483708 0.0034677077 0.003550867 0.0063772877 0.0035454698 0.0036872006 0.003555065 0.0035200822 0.003495894 0.003450916 0.003602042 0.0033621592 0.0034267278 0.0035904478 0.0034031393 0.0035454698 0.0034647093 0.0033449677 0.0036294288 0.003682603 0.0035652602 0.0034161329 0.0034705063 0.0036506185 0.0033691558 0.0033767521 0.0034335244 0.0035422714 0.0036318277 0.0034645093 0.0036586146 0.006452651 0.0038859036 0.003344568 0.004270716 0.0041141924 0.0033705551 0.0034369228 0.003481701 0.0038935 0.0035748554 0.0034769033 0.0035292776 0.0035494678 0.0034543143 0.0038719105 0.003774758 0.0041611693 0.0038125394 0.0035786536 0.003635026 0.0042129443 0.0037213839 0.004073412 0.020980762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015731174 8.497933e-06 3.9990275e-07 6.4984197e-06 1.1997082e-06 5.4986626e-06 2.3994164e-06 2.4993922e-06 8.098031e-06 2.0994894e-06 2.1994651e-06 3.5991247e-06 6.0985167e-06 4.5988813e-06 1.0797374e-05 0.0010241509 0.0005162744 6.7983465e-06 3.0992462e-06 3.5991247e-06 1.9995136e-06 4.998784e-07 2.7993192e-06 2.899295e-06 6.998298e-06 3.799076e-06 3.5991247e-06 3.199222e-06 4.198979e-06 5.09876e-06 8.997812e-06 0.00024514037 0.0007023292 3.499149e-05 4.7588426e-05 1.0497447e-05 2.8093167e-05 2.709341e-05 1.549623e-05 4.2089763e-05 1.019752e-05 3.319193e-05 1.2696913e-05 2.2894432e-05 1.529628e-05 1.2097058e-05 5.3886895e-05 0.00077431166 0.0049693915 0.00013386745 0.00030352618 8.747872e-05 0.00040110244 0.00024064147 0.0006505418 0.00037350916 8.737875e-05 0.00019985139 8.088033e-05 0.00010087547 5.4886652e-05 7.168257e-05 8.637899e-05 0.0021907673 0.001965322 0.00012686914 0.00010307493 9.257749e-05 0.00022174607 0.00010077549 0.00018005622 0.00014216543 0.00012147046 0.0001467643 9.407712e-05 7.958065e-05 3.7690832e-05 5.4486747e-05 8.937826e-05 0.0015627199 0.0015191305 8.01805e-05 0.00016755925 0.00019135347 0.00034451621 0.00026043667 0.0004937799 0.00032192172 7.5881544e-05 0.00023054393 8.267989e-05 0.00012856873 5.0387745e-05 0.00014446487 0.00026573538 0.0021948663 0.0023117377 0.00019785188 0.00032792025 0.00044299226 0.0005540653 0.00029552812 0.000620749 0.00050747656 0.0002644357 0.00040900052 0.00020385042 0.00016695939 0.00037570862 0.00036951015 0.0004469913 0.0031522333 0.0009894593 0.00010057554 0.00010737389 0.00013966604 0.0002935286 0.00015036343 0.00028842984 0.00021684726 0.00021784702 2.339431e-05 3.5891273e-05 4.5988814e-05 0.0006275474 5.998541e-05 6.3484564e-05 0.00012037073 0.0026986436 0.00029782756 0.00033891757 0.0004075009 0.0007225243 0.0005177741 0.00030272637 0.00044289228 0.0016274042 0.00016585966 0.00015046341 0.00020674971 0.0017072848 0.00014686429 0.00042379694 0.0015135319 0.012324203 0.0021246832 0.0019304305 0.0020392041 0.0041085007 0.004017223 0.001488438 0.0030196656 0.008686188 0.0005008782 0.00052727177 0.0010931342 0.005128353 0.0009318734 0.0034685566 0.006555706 0.0072671324 0.0017299793 0.0011683159 0.0016830907 0.003145135 0.003063255 0.0012987842 0.00263146 0.006027134 0.00043349457 0.00048008325 0.00080530415 0.002874301 0.0010351483 0.0026748495 0.0048373234 0.05193717 0.0526255 0.05299791 0.053447302 0.052985515 0.052828353 0.053449802 0.052898437 0.052833352 0.05353228 0.052894436 0.053191464 0.05327824 0.053141177 0.052895237 0.053139176 21656.0 6.0973864 132045.0 0.014245144 0.009428604 0.009436177 0.008694006 0.012579045 0.009549775 0.008959067 0.009163543 0.009307433 0.00929986 0.008845469 0.0096103605 0.009360446 0.009224128 0.009837556 0.009246848 0.009693665 0.009898141 0.009557348 0.00977697 0.009148397 0.009322579 0.008951494 0.00977697 0.009261994 0.010125336 0.009481616 0.009458897 0.009966299 0.009595213 0.008837896 0.010738763 0.012745655 0.010572153 0.009761823 0.010261653 0.01075391 0.0102692265 0.0109280925 0.009966299 0.009368018 0.009421031 0.009004506 0.009580067 0.009723958 0.009822409 0.009731531 0.009474043 0.012011057 0.009572494 0.009496762 0.011367337 0.010155628 0.009534628 0.011147715 0.0108296415 0.010004166 0.0093301525 0.009390738 0.009421031 0.008913628 0.009489189 0.009065092 0.011018971 0.009239274 0.014934302 0.010769056 0.012313984 0.012859252 0.018978378 0.01137491 0.010307092 0.009882994 0.013851339 0.010095043 0.0093301525 0.012336703 0.010496422 0.013343936 0.014214851 0.010776629 0.009337726 0.016085425 0.013919497 0.018228633 0.011814155 0.010178348 0.009390738 0.010042031 0.0097921165 0.008587982 0.009587641 0.009118103 0.008845469 0.008557688 0.008898482 6.5632377 0.0 0.0 0.0 64.0 5002440.0 66195456.0 1.0 0.0 138.0 0.0 1.0 0.0 1.0 0.0 1539852400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 550400.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -552960.0 0.0 65471490.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.058665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.211405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.82239 0.0 7.983397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -22216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -552296.0 0.0 65471160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 656524.0 65471160.0 696320.0 0.0 0.0 7184.0 66158590.0 22216.0 66170880.0 84.0 624672.0 0.0 0.0 0.0 0.0 24.0 624852.0 64.0 624760.0 0.0 0.0 568.0 557056.0 0.0 0.0 0.0 0.0


Input: 0.056589473 0.00828996 0.0061714607 0.0056534675 0.0057568597 0.004963844 0.004198744 0.005411531 0.005041388 0.0056121107 0.0037510572 0.0044572237 0.0049576405 0.0031886054 0.004325916 0.00463299 0.0050475914 0.003755193 0.0049379957 0.004155319 0.0043455604 0.0031824019 0.0041036233 0.0038544491 0.0050734393 0.0033488628 0.003180334 0.0029228884 0.0041408446 0.0034512207 0.003792414 0.0037903462 0.006162156 0.0038234314 0.003488442 0.0030128392 0.0048925034 0.004170828 0.0038523811 0.0037210735 0.0047291443 0.0038978737 0.0033364557 0.0030934848 0.0043693404 0.0037190057 0.0037345146 0.0035835623 0.005508719 0.003955773 0.0031017563 0.0028991082 0.0036797167 0.0030841795 0.002695426 0.0028577514 0.004160489 0.0033302524 0.0035225612 0.0033385237 0.0040136725 0.003220657 0.003499815 0.0034563902 0.006594334 0.0039475015 0.0036176816 0.0032299622 0.0041615227 0.0032268604 0.003537036 0.003080044 0.0050052004 0.0037862104 0.0037210735 0.003586664 0.0041284375 0.0031265703 0.003548409 0.0034574242 0.00516339 0.0036218173 0.0036362922 0.003333354 0.003933027 0.0033902195 0.0033674734 0.0035525449 0.0046464307 0.0036528348 0.0038099906 0.0035142899 0.0041077593 0.0033871178 0.003687988 0.0037944817 0.0059098797 0.0036269869 0.0033447272 0.0029487363 0.0040136725 0.0030562638 0.0032744207 0.0030355854 0.004961776 0.0031617235 0.0031906732 0.0030562638 0.003576325 0.0028453444 0.0030862475 0.003205148 0.0045016822 0.0032930311 0.003220657 0.003141045 0.0038927041 0.0033271506 0.0032909634 0.0036280209 0.004615413 0.003296133 0.0034832722 0.003156554 0.0040405546 0.0031958427 0.0034656955 0.003345761 0.008642526 0.0045854296 0.0040291813 0.0035287647 0.004376578 0.0034295085 0.003027314 0.0034026266 0.0045368355 0.003830669 0.0029570076 0.0031906732 0.0037231413 0.0028008858 0.0028536157 0.0029849233 0.005229561 0.003216521 0.0034832722 0.003027314 0.0036683436 0.0031751643 0.0033054382 0.0032775225 0.004543039 0.0028443104 0.0030469585 0.0027016297 0.0035163576 0.003221691 0.0029869913 0.0031503504 0.0050041666 0.003409864 0.003271319 0.0027905467 0.0037707016 0.0030087035 0.0030490262 0.0031896394 0.004147048 0.0030025 0.0031151972 0.0030190428 0.0036424957 0.0028319035 0.0029218544 0.0030438567 0.004669177 0.0031162312 0.0038379063 0.002852582 0.0035690875 0.0031482826 0.002988025 0.0031234685 0.004252508 0.0031472486 0.003333354 0.0031741306 0.0036600723 0.0031855037 0.0033230148 0.003357134 0.006705997 0.0040539955 0.0037241753 0.0033447272 0.0041170646 0.003244437 0.003307506 0.0032299622 0.0043310854 0.0033364557 0.0031162312 0.0030893493 0.0036486993 0.0029818215 0.0030821117 0.002799852 0.004251474 0.0032764885 0.003081078 0.003003534 0.0037097004 0.0030076697 0.0029373632 0.002939431 0.0039743837 0.0031069259 0.0027285116 0.0026561373 0.0035391038 0.0029559736 0.0035907999 0.0028877351 0.004959708 0.003244437 0.0033881518 0.0029756182 0.0038068888 0.0030697046 0.0031968767 0.0028991082 0.004439647 0.0054384125 0.0034656955 0.003142079 0.0037944817 0.0030748744 0.003257878 0.0032010125 0.0046133455 0.003320947 0.003421237 0.0030583316 0.003741752 0.003081078 0.0033147435 0.0032371995 0.00435073 0.0030324836 0.0031865377 0.002874294 0.0040136725 0.0030965866 0.0042463043 0.004507886 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045757596 0.0002920367 0.0002708071 0.00026718254 0.00030239264 0.00024025716 0.00032724682 0.00030187482 0.00033294258 0.00034795864 0.0003298358 0.0003541722 0.0005177956 0.00015689207 0.0001879598 0.00073889433 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09911126 0.062036574 0.0624622 0.055320248 0.060621955 0.05958015 0.054955717 0.054470025 0.060493026 0.05317709 0.052126482 0.05295858 0.056439202 0.05056274 0.05666341 0.053878184 4032.0 5.7021327 22991.0 0.017180637 0.010395372 0.009351485 0.008655561 0.013483537 0.012483146 0.011787221 0.011526249 0.012613632 0.009742943 0.00856857 0.008612066 0.013874995 0.010569354 0.011830716 0.010003914 0.016658692 0.011917707 0.008655561 0.0074811885 0.009786438 0.008612066 0.007785655 0.0083075985 0.010264887 0.008438084 0.009612457 0.008829542 0.011526249 0.008916533 0.009612457 0.009264495 0.018007046 0.010960811 0.010438868 0.009177504 0.010917315 0.008829542 0.010656344 0.008351094 0.014179462 0.011569745 0.009829934 0.008960028 0.011439259 0.009351485 0.0116132395 0.009568961 0.0147449 0.009568961 0.0099604195 0.008960028 0.012048192 0.00930799 0.009568961 0.009829934 0.013657518 0.009264495 0.010525858 0.009612457 0.011178287 0.009786438 0.010395372 0.010656344 0.018007046 0.010960811 0.009742943 0.008133617 0.013092079 0.008220608 0.009351485 0.0083075985 0.01539733 0.00930799 0.008873037 0.008699056 0.011308773 0.008177113 0.009873428 0.008046627 0.013135575 0.0080031315 0.008699056 0.008699056 0.011439259 0.009438476 0.008090123 0.007959636 0.010873821 0.008960028 0.012004698 0.008525075 0.011439259 0.009047018 0.010134401 0.008786047 6.5547543 0.0 0.0 0.0 14.0 967194.0 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: 0.23567101 0.0031158281 0.0025524753 0.0053379424 0.0029384764 0.0027472146 0.0028880527 0.002879359 0.002879359 0.0026202863 0.002425547 0.002792422 0.0027089622 0.0026811422 0.0027802507 0.0031940716 0.0030393235 0.0025733402 0.0024012045 0.0026324575 0.0026915749 0.0024012045 0.0026202863 0.002797638 0.0025437817 0.0025333492 0.046913035 0.0024238082 0.0030410623 0.0027402595 0.0025837726 0.002512484 0.002682881 0.0026568 0.0031592967 0.002512484 0.0024603219 0.0029784674 0.0025489978 0.0029158727 0.0026707097 0.002696791 0.0025055292 0.0026185475 0.002736782 0.0026115926 0.0026724485 0.0024098982 0.003131477 0.0027680795 0.0025298717 0.0027559083 0.0026046375 0.002493358 0.0026394124 0.0027680795 0.0030671433 0.002818503 0.0024029433 0.002724611 0.0027315659 0.0027037458 0.0024968355 0.0025681239 0.0032497114 0.0027559083 0.0026811422 0.0024620607 0.0025855114 0.0026394124 0.0028237193 0.002682881 0.0027402595 0.0027819893 0.002507268 0.0026811422 0.0028011156 0.0027819893 0.0029506476 0.0025316104 0.0029071788 0.0026933134 0.002493358 0.0026672324 0.0027715568 0.0026011602 0.0026376736 0.002486403 0.003218414 0.0027767732 0.0025159616 0.0024359794 0.00294717 0.0025785565 0.0024690155 0.0031053957 0.0025820339 0.0026776649 0.0027750344 0.002526394 0.0026237639 0.002900224 0.0032966575 0.0024777092 0.002724611 0.0028828366 0.0029037015 0.0026411512 0.002472493 0.0027280883 0.0028167642 0.002729827 0.002710701 0.0025959439 0.0030845308 0.0027593856 0.003008026 0.0027489532 0.0028915303 0.002507268 0.0026394124 0.0026185475 0.0028393678 0.0023733848 0.0025976826 0.0026585385 0.0024029433 0.0025872502 0.0076469933 0.007000181 0.002736782 0.0028880527 0.0028411066 0.017750831 0.0026707097 0.0024637994 0.0025976826 0.0023351323 0.0025559529 0.0029523862 0.0024012045 0.003496613 0.0025090068 0.0070088743 0.0025907275 0.0025194392 0.0024637994 0.0024290245 0.0025507365 0.002743737 0.0026028987 0.002411637 0.00293326 0.0025629078 0.002479448 0.002561169 0.0026950522 0.0027541695 0.002444673 0.0025298717 0.0026568 0.002472493 0.0024290245 0.0027489532 0.0025629078 0.0038391454 0.0027124397 0.0028967464 0.0024950968 0.0025629078 0.0024411958 0.002675926 0.0024464119 0.0023681684 0.002575079 0.0024220694 0.0029071788 0.002404682 0.0026498449 0.002588989 0.0030949633 0.003021936 0.0028219805 0.0024238082 0.0026585385 0.0024846643 0.0025489978 0.0025281329 0.002526394 0.0025159616 0.0025820339 0.002507268 0.003136693 0.003021936 0.0027315659 0.0027141785 0.0026776649 0.0026202863 0.0025646465 0.00333491 0.0026098539 0.0025663853 0.0026933134 0.0027993768 0.0028950076 0.0026237639 0.0024707543 0.002682881 0.002860233 0.0027767732 0.0027402595 0.0027020073 0.002846323 0.0023872945 0.002479448 0.0027872056 0.0028080705 0.002554214 0.0029297825 0.002588989 0.002540304 0.00291935 0.0025194392 0.002682881 0.002561169 0.0023420872 0.0024411958 0.0026568 0.0025229165 0.002715917 0.002493358 0.0023664297 0.0031384318 0.0024811868 0.0023316548 0.0025733402 0.0023160062 0.002357736 0.002507268 0.0024568443 0.0030880081 0.002622025 0.0023160062 0.0026654936 0.0025229165 0.0025594302 0.0026046375 0.0032358014 0.0025298717 0.0025020516 0.0022516726 0.0025368265 0.0028637103 0.002493358 0.0037852444 0.0077495794 0.014285714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016584124 3.4877232e-06 0.0 1.7438616e-06 1.7438616e-06 0.0 0.0 2.6157925e-06 5.231585e-06 0.0 0.0 0.0 4.359654e-05 1.7438616e-06 5.231585e-06 6.1907085e-05 0.087700546 0.04227644 2.179827e-05 1.3078962e-05 4.8828126e-05 5.7547433e-05 0.00012032645 7.0626396e-05 1.5694755e-05 1.7438616e-06 8.719308e-06 6.1035157e-06 9.591239e-06 1.7438616e-06 1.7438616e-06 2.6157925e-06 0.0014962333 9.591239e-06 1.2207031e-05 3.40053e-05 4.359654e-05 2.092634e-05 8.893694e-05 4.272461e-05 1.9182478e-05 2.6157925e-06 2.6157925e-06 6.9754465e-06 8.719308e-07 0.0 3.4877232e-06 1.7438616e-06 0.0030081612 0.0008213588 2.005441e-05 2.005441e-05 1.6566686e-05 7.847378e-06 1.9182478e-05 1.6566686e-05 0.0012076242 1.2207031e-05 1.5694755e-05 1.5694755e-05 6.365095e-05 1.7438617e-05 2.3542132e-05 7.1498325e-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 0.002305385 0.0006225586 4.359654e-05 4.272461e-05 0.00016305107 4.5340403e-05 4.8828126e-05 3.7493024e-05 1.8310548e-05 1.3950893e-05 2.179827e-05 2.092634e-05 4.272461e-05 4.0980747e-05 4.185268e-05 6.1907085e-05 0.003945487 0.00042375838 6.452288e-05 0.00014474051 0.00048043387 0.00037841796 0.00087280275 0.00047520228 3.226144e-05 3.0517578e-05 2.005441e-05 3.6621095e-05 4.446847e-05 2.8773717e-05 2.9645647e-05 0.00013514927 0.0075387135 0.00047171456 0.00031651088 0.00034790038 0.00058332173 0.0002485003 0.00035400392 0.00037841796 0.0002572196 0.00024326869 0.0002807617 0.0001953125 0.00032610213 0.00024675642 0.00024675642 0.00046473913 0.0029174804 0.000529262 0.00014561244 0.00014386859 0.0002973284 0.00017787388 0.0003226144 0.00022147043 0.0011396136 0.00011422294 0.00014386859 0.00012904576 0.00016217913 0.00015781948 0.00015433175 0.00038626534 0.0059561594 0.00048217774 0.00039498464 0.0002798898 0.0005379813 0.0003792899 0.00060512 0.00055629184 0.0003112793 0.00033743723 0.00034179687 0.00040893554 0.0004612514 0.00045427596 0.00034702846 0.0006461007 0.0039106095 0.00032610213 0.00034877233 0.0002179827 0.0002947126 0.00036359514 0.0004725865 0.00044294086 0.00032523018 0.0003679548 0.00031302316 0.00036097935 0.00033220564 0.00027901787 0.0001979283 0.00037493024 0.008618164 0.0014203753 0.0017674038 0.00070103235 0.0013523647 0.0014552525 0.0016479492 0.0013654437 0.0033325194 0.0009669713 0.002103969 0.0015005929 0.0022155761 0.0016531808 0.0015197754 0.007665144 0.0018205915 0.0009085519 0.00077340263 0.001109096 0.00060163223 0.0007638114 0.0011779785 0.00081787107 0.0010628836 0.0006565639 0.0004725865 0.00066092354 0.00092686247 0.0010018485 0.000642613 0.0008884975 0.1348162 0.038269043 0.03888201 0.040097483 0.03923427 0.03942086 0.037914168 0.038519286 0.039209858 0.038578577 0.038608223 0.038957868 0.03954991 0.039285716 0.037094552 0.037633404 946.0 7.8054967 7384.0 0.017605634 0.0062296856 0.0073131095 0.0070422534 0.0070422534 0.007854821 0.027627302 0.026814735 0.011511376 0.016115926 0.0069068256 0.0070422534 0.011105092 0.012188516 0.011375948 0.010969664 0.015167931 0.013136512 0.011511376 0.0073131095 0.0069068256 0.008531961 0.008802817 0.0051462622 0.0074485373 0.0070422534 0.0043336945 0.005552546 0.0025731311 0.0073131095 0.0044691223 0.0062296856 0.0037919828 0.0116468035 0.0058234017 0.009073673 0.007990249 0.008667389 0.009615385 0.006365114 0.0054171183 0.0077193934 0.0041982667 0.0044691223 0.0077193934 0.008125677 0.010427953 0.006771398 0.0041982667 0.012188516 0.0069068256 0.016386783 0.009886241 0.0058234017 0.016251354 0.00528169 0.006365114 0.015167931 0.005687974 0.0040628384 0.007854821 0.0050108344 0.0065005417 0.029929578 0.00595883 0.031960998 0.015574215 0.013271939 0.011375948 0.021939328 0.009479957 0.0065005417 0.009073673 0.026950162 0.00595883 0.013271939 0.008667389 0.016657637 0.025325026 0.017063921 0.012459371 0.0054171183 0.024647888 0.01584507 0.02843987 0.008261105 0.016928494 0.00595883 0.0069068256 0.010698808 0.0070422534 0.003385699 0.0074485373 0.0065005417 0.0054171183 0.0040628384 6.347698 1.0 9.0 0.0 2.0 575128.0 569344.0 0.0 0.0 59.0 0.0 1.0 1.0 0.0 0.0 1112176800.0 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 5.0 9.0 6.0 0.0 4.0 0.0 4.0 0.0 548864.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -548864.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8310165 0.0 5.6847496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -547156.0 0.0 8588.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 549940.0 8588.0 557056.0 0.0 0.0 5784.0 569344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 292.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1312096 0.014186304 0.0052254363 0.005400058 0.009785429 0.0032197004 0.003638335 0.002807166 0.012853383 0.0015893887 0.001560158 0.0013080112 0.00610007 0.0033012922 0.0010909414 0.024011893 0.02804497 0.004582869 0.0008504869 0.00082633976 0.0028745236 0.008704655 0.0008342194 0.0010223127 0.0030181354 0.00067408587 0.0007592362 0.00082430633 0.001997348 0.00081210566 0.00057622645 0.00064739696 0.0040511237 0.00068399886 0.00069747044 0.00052793225 0.002769293 0.0005889355 0.00055360445 0.00051318976 0.0027067647 0.00060469465 0.0005322533 0.0024436882 0.0015578703 0.0005309824 0.0009361456 0.001296319 0.0015667666 0.00045269492 0.0009214032 0.005983656 0.0020730936 0.001295048 0.0005632633 0.0005711429 0.0015306731 0.0015588871 0.00039830036 0.0030417743 0.0013926532 0.0015484657 0.00047938383 0.0005231028 0.0028356342 0.0020885987 0.001132881 0.0013519845 0.001934057 0.025943154 0.013065116 0.0023077019 0.0020070067 0.00079863414 0.00061638694 0.0010324799 0.0013987536 0.011098778 0.0014554358 0.0010014699 0.015326557 0.002901975 0.001087637 0.002546377 0.0009109818 0.0055950144 0.0059915353 0.0051779044 0.001984893 0.002647795 0.0003233172 0.0023425245 0.001716733 0.0073277606 0.005089958 0.0033297604 0.001495342 0.0005429289 0.00035102284 0.00023104978 0.0057861577 0.0023961565 0.0042933575 0.00034670177 0.0052226405 0.0024406381 0.012161251 0.00023308322 0.00085607887 0.00026968517 0.0005439456 0.001493817 0.0018123047 0.00043337722 0.0004308354 0.00074881484 0.010342083 0.01049205 0.0017551142 0.0015029674 0.00269431 0.00052259443 0.0004349023 0.0050930083 0.0016552213 0.0028732528 0.0019513413 0.0023681968 0.0025837417 0.0017223249 0.00061359094 0.013116206 0.0032141085 0.012876514 0.0037278065 0.0041848226 0.0017962913 0.012168876 0.0003128958 0.04794601 0.0013929075 0.022440806 0.0023847185 0.0013789275 0.0034680343 0.00028137746 0.00089064735 0.00023181233 0.0018331475 0.0005556379 0.00040236724 0.00032179212 0.001139744 0.0005609757 0.00021783242 0.00029739083 0.00091733626 0.0003833037 0.00035941077 0.00071907573 0.00120761 0.0035407299 0.00020741102 0.0016483585 0.0009996906 0.00022672872 0.00021706987 0.00021605316 0.0013392754 0.00029154468 0.00020359833 0.0001949562 0.0010517976 0.00019648128 0.00020537758 0.0003128958 0.00175486 0.00030120352 0.00021961168 0.00043922337 0.0010357843 0.000777283 0.00072415936 0.0012307405 0.0042613307 0.00092979113 0.0003118791 0.00053886196 0.0011438108 0.00046489557 0.0015116095 0.00078846695 0.010517468 0.0027598885 0.0059994147 0.0033434862 0.0046304003 0.0019083848 0.0057391343 0.010566016 0.0037006093 0.0019315152 0.0006979788 0.0016130274 0.04202869 0.0010390886 0.003780676 0.0028008115 0.002518163 0.00074957736 0.00075237337 0.00056504254 0.0017800238 0.00029027378 0.000964868 0.0005594506 0.0028247044 0.0007259386 0.00031645433 0.0010408679 0.002186712 0.0010487475 0.00039575854 0.0003705947 0.0027741226 0.0004041465 0.00036195258 0.0003078122 0.0020603845 0.0033277269 0.00061816623 0.00036474856 0.019755138 0.0014384057 0.00040312976 0.0029980552 0.010111034 0.00028188582 0.00037796595 0.00056682184 0.0055182516 0.0021717155 0.009425764 0.003944114 0.0045693973 0.00037008635 0.003092356 0.0011023794 0.0035216664 0.001452894 0.00048904266 0.0008812427 0.010812825 0.001780278 0.0022960096 0.06196684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014390377 4.7035683e-06 2.161099e-06 2.415346e-06 5.974803e-06 9.15289e-06 3.4323336e-06 4.067951e-06 3.3814842e-05 1.5254816e-06 1.7797286e-06 1.3983582e-06 2.4661953e-05 3.5594571e-06 3.3052102e-06 1.4492076e-05 0.0002920026 1.6271804e-05 6.737544e-06 1.0678372e-05 3.228936e-05 3.9281153e-05 9.788508e-06 1.2585224e-05 8.3647246e-05 5.720556e-06 4.576445e-06 4.9578152e-06 0.00016106544 9.53426e-06 3.254361e-05 5.936666e-05 0.0018158316 0.00020924523 6.2798994e-05 8.326587e-05 0.0002865363 0.000206957 0.000116063726 0.00012381826 0.00056684355 5.0722265e-05 4.9578153e-05 6.254475e-05 0.0010346579 3.991677e-05 0.00013983581 0.00035836105 0.015635423 0.0030577008 0.0009642315 0.000980249 0.0032663106 0.0031469415 0.0015990861 0.0015861195 0.007097812 0.00062900694 0.00064222777 0.00078956387 0.007959073 0.00068735663 0.0018704948 0.007104804 0.1418942 0.034400247 0.011854264 0.013633611 0.040836126 0.038953938 0.02260929 0.026467616 0.07974481 0.007533464 0.0070554796 0.0097206235 0.06288874 0.009550787 0.026934922 0.071233004 0.06744549 0.019363575 0.008103104 0.009194332 0.025649702 0.021950917 0.014326307 0.01691721 0.04435109 0.004359572 0.004306816 0.0058555612 0.031004524 0.0067981817 0.01717794 0.03461979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1538.0 5.5156045 8483.0 0.029470706 0.0035364847 0.0028291878 0.0014145939 0.021454673 0.0018861252 0.002121891 0.0014145939 0.011198868 0.0014145939 0.0035364847 0.015324767 0.010137923 0.002004008 0.016149947 0.0028291878 0.01084522 0.0015324767 0.0018861252 0.007426618 0.00542261 0.001296711 0.002711305 0.002711305 0.010373688 0.024283862 0.0015324767 0.037015207 0.0056583756 0.0018861252 0.0008251798 0.0011788283 0.015560533 0.008959095 0.0031828363 0.005186844 0.011080986 0.0075445008 0.023930212 0.0150890015 0.017210891 0.004833196 0.00459743 0.0076623834 0.0043616644 0.002593422 0.0036543675 0.0036543675 0.060002357 0.039372865 0.008605446 0.038547684 0.004243782 0.0053047272 0.043970294 0.057998348 0.0070729693 0.0018861252 0.0011788283 0.013320759 0.0049510784 0.011788283 0.019804314 0.021454673 0.007898149 0.0010609454 0.0009430626 0.0011788283 0.007426618 0.0011788283 0.00459743 0.001296711 0.04090534 0.0014145939 0.022161972 0.00023576565 0.002711305 0.0014145939 0.0009430626 0.002121891 0.0076623834 0.002004008 0.0043616644 0.004243782 0.05587646 0.022397736 0.0015324767 0.014381705 0.019332783 0.0023576566 0.0011788283 0.0015324767 0.010491571 0.014381705 0.013674407 0.005186844 5.736309 0.0 0.0 0.0 1.0 3934217.0 7962624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1391831300.0 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 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 12.0 0.0 5.0 1.0 5.0 1.0 4608000.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2295296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608000.0 0.0 591360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3972282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2294864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4607732.0 0.0 591032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1497031.0 5393632.0 340.0 6890664.0 591032.0 6971392.0 0.0 0.0 0.0 0.0 395860.0 7565312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5028232.0 0.0 0.0 7172.0 4612096.0 0.0 0.0 0.0 0.0


Input: 0.10047487 0.005199252 0.0031790673 0.00328804 0.0044448264 0.0017163191 0.0015109476 0.0016723109 0.005155244 0.0010708658 0.0009912319 0.0012531853 0.0038308075 0.0012154641 0.0006873659 0.0064964457 0.004136769 0.00067060086 0.0009304587 0.0006182102 0.0019447425 0.0018713955 0.000951415 0.0005804889 0.0021983134 0.0006580271 0.00057001074 0.0007250872 0.0012112728 0.0005679151 0.00056372385 0.0010059013 0.002797663 0.00048409 0.0006873659 0.00093464996 0.002009707 0.00053228944 0.0005029506 0.0005825845 0.00094303244 0.00039816927 0.00037721297 0.010046439 0.0009597975 0.0023617723 0.00067060086 0.00841185 0.008795349 0.0077663963 0.008151991 0.012087581 0.009248005 0.011136166 0.009268961 0.011060723 0.010505382 0.008759724 0.0009577019 0.0027494635 0.0017582317 0.0019782726 0.0010876307 0.003529037 0.0033634824 0.008887557 0.014524795 0.010450895 0.009405177 0.011873826 0.009002817 0.010306297 0.009484811 0.007257159 0.00914951 0.0064964457 0.007739153 0.0106248325 0.0082253385 0.009451281 0.012638731 0.007525399 0.008376224 0.0077936393 0.007999011 0.008774393 0.00919771 0.008931565 0.009126458 0.011111018 0.0069952053 0.0009262674 0.0006496446 0.0025692396 0.001689076 0.0013558711 0.0008026254 0.008900131 0.008619317 0.0095916875 0.008604648 0.012209127 0.012010043 0.008172948 0.009631505 0.008501962 0.0110670095 0.008288207 0.008912705 0.007822978 0.010243428 0.00916418 0.0077244835 0.006997301 0.009738382 0.010660458 0.013898203 0.015463636 0.009526723 0.009120172 0.008133131 0.008644464 0.010209898 0.00045894246 0.0011525953 0.0012678547 0.0011630733 0.0010603876 0.0022381304 0.001165169 0.0005490545 0.0072173416 0.0016932671 0.004570564 0.0006307839 0.00031643978 0.0017624228 0.004998072 0.0009996144 0.015765406 0.000737661 0.0044448264 0.00049666374 0.00032063102 0.000844538 0.00046732498 0.00029129224 0.0006936528 0.00070832216 0.00051762006 0.00027871848 0.00023051904 0.0005804889 0.0002933879 0.00033530043 0.0009639887 0.00053228944 0.00045055995 0.00037721297 0.00053228944 0.00086549425 0.00086549425 0.0006496446 0.00068317464 0.0006685052 0.00052600255 0.00046732498 0.0002514753 0.0008696855 0.00030596164 0.00023051904 0.00052600255 0.00057210634 0.00032063102 0.00026614472 0.0003855955 0.0011693602 0.00029967475 0.0007418522 0.0003625436 0.0006119233 0.00075233035 0.0013914967 0.0008759724 0.0010666745 0.00053857634 0.000804721 0.0007481391 0.00072089594 0.0013412017 0.0006622184 0.0013412017 0.0045558945 0.0029254963 0.0013684449 0.0033467175 0.0019950375 0.0005616282 0.0015863902 0.0021647834 0.0015947727 0.0019782726 0.000697844 0.00073975656 0.0040843785 0.0006747921 0.0010373357 0.00092836306 0.0011861252 0.0007502347 0.00075442594 0.0005658195 0.0009765625 0.00029129224 0.0006580271 0.0004547512 0.0013055761 0.0008089123 0.00042750806 0.000771191 0.0007355653 0.0007565216 0.00068317464 0.00049666374 0.0017121278 0.0006182102 0.0003876911 0.0003478742 0.0011525953 0.0007942429 0.00041912554 0.00049666374 0.007380801 0.0013202454 0.00031224854 0.002690786 0.002701264 0.00029129224 0.0004463687 0.0006056364 0.0026991684 0.00077747786 0.0008319642 0.000787956 0.0013894011 0.00042960368 0.0015465732 0.0020138982 0.0032335536 0.0009618931 0.00087178114 0.0006286883 0.0027054553 0.0011903165 0.0023450074 0.023565333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017011089 5.670363e-05 8.1905244e-05 1.0500672e-06 7.875504e-05 3.9902552e-05 5.985383e-05 4.7253023e-05 8.400538e-06 3.1502016e-06 1.6801076e-05 5.250336e-06 1.0500672e-06 0.0 2.3101478e-05 2.625168e-05 0.0040112566 1.5751008e-05 0.000249916 2.2051412e-05 6.1953964e-05 9.450605e-06 0.0011214718 0.0006027386 0.00012915826 5.250336e-06 6.300403e-06 3.8852486e-05 4.7253023e-05 8.400538e-06 1.6801076e-05 0.00010500672 0.016150033 0.00022366432 0.001157174 0.00021526378 0.0014910954 0.00042107695 0.0029664398 0.0018659694 0.0006174395 0.00011340726 0.00011655746 0.00017746136 0.00028876847 0.00015015961 0.00011130713 0.001891171 0.009313046 0.00016066029 0.0006909442 0.00032447078 0.001234879 0.00030031923 0.0020833334 0.0013346354 0.00013335854 7.9805104e-05 0.00011655746 0.00020686325 0.00013965894 0.00012705813 0.0001344086 0.0008243028 0.015668053 0.0007886005 0.017983451 0.079288475 0.11157594 0.078207955 0.11793515 0.08596795 0.0002467658 0.0002404654 0.00024886592 0.00021736391 0.00028351814 0.0001984627 0.00019741264 0.00062899024 0.0133463545 0.0005533854 0.0010668683 0.0013167843 0.0031449513 0.0009702621 0.004109963 0.0024498068 0.0002404654 0.00034127184 0.0004137265 0.00057963707 0.0005607359 0.00039902554 0.00021946404 0.00039482527 0.0038169944 0.00059433805 0.0006268901 0.009001176 0.0012149278 0.0009944136 0.0013997395 0.0011372227 0.0006531418 0.000531334 0.00052713376 0.0005386845 0.0007371472 0.0005890877 0.0006174395 0.0006762433 0.007489079 0.000906208 0.00066469255 0.0022796958 0.001045867 0.0006730931 0.00062899024 0.00069619453 0.0021316365 0.00059748825 0.00050403224 0.000765499 0.00097446237 0.00049143145 0.00084425404 0.0029632896 0.0336074 0.005700815 0.0039115003 0.0053826445 0.010880796 0.009508358 0.005095976 0.008069767 0.019989079 0.0015068464 0.0018880208 0.0030115927 0.011167465 0.002920237 0.007955309 0.01564075 0.03313382 0.006793935 0.004626596 0.0076455395 0.011660996 0.012887475 0.005450899 0.009950437 0.021461273 0.0022292926 0.0028677336 0.004155116 0.012010668 0.0049636676 0.010421917 0.019633107 0.0033843666 0.0034305695 0.001654906 0.003388567 0.003918851 0.00171896 0.0017305107 0.0030871977 0.0023941533 0.002438256 0.0017630628 0.0037550402 0.0040900116 0.0017945649 0.0011771254 0.00328461 1101.0 220.85649 243163.0 0.0019328599 9.869922e-05 0.00013982391 9.869922e-05 0.00047704627 8.6361826e-05 7.813689e-05 0.00028787274 0.00022207326 7.402442e-05 7.813689e-05 0.017136654 0.000254973 9.458676e-05 0.00044003405 0.015960487 0.014019403 0.01341487 0.0143484 0.016544458 0.0152037935 0.019937243 0.015602702 0.019801533 0.018127758 0.014895358 0.00057985797 0.0004112468 0.00079781876 0.0006662198 0.00051405845 0.000764919 0.0007937063 0.013793217 0.015717851 0.012575926 0.015146219 0.012547139 0.014545798 0.01848143 0.015413529 0.01298306 0.015397079 0.011885032 0.013394307 0.015828889 0.014233251 0.017420413 0.017264139 0.012374415 0.015010508 0.012341516 0.014134551 0.012370303 0.01364928 0.013908366 0.016359396 0.017066741 0.012900812 0.00013982391 0.00022618573 0.0001274865 0.00013982391 0.00047293378 0.00037834703 0.015063969 0.01601395 0.017223015 0.014422424 0.020990035 0.01807841 0.014924145 0.015026957 0.014883021 0.015812438 0.015002282 0.015833002 0.014072864 0.017950922 0.016441647 0.013270933 0.0125553645 0.016310047 0.017087303 0.0174163 0.017922135 0.016055074 0.016157886 0.014488224 0.015462879 0.018888565 6.168702e-05 0.00022618573 6.9911956e-05 9.047429e-05 8.6361826e-05 6.0572248 0.0 0.0 0.0 46.0 477184.0 499712.0 1.0 0.0 179.0 1.0 1.0 0.0 0.0 0.0 1345089000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 6.0 0.0 6.0 0.0 141824.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68096.0 0.0 0.0 0.0 0.0 228864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141824.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.581586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4550467 0.0 0.0 0.0 0.0 5.9933968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.166775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6708317 0.0 3.6004298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67678.0 0.0 0.0 0.0 0.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141340.0 0.0 5745.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 -1.0 0.0 -1.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 210860.0 5745.0 249856.0 0.0 0.0 0.0 0.0 8948.0 258048.0 56.0 202736.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 202792.0 0.0 0.0 724.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.28047863 0.04208703 0.00845427 0.005259703 0.0044029914 0.006369385 0.0052615837 0.0051430925 0.02064102 0.004945607 0.0036017634 0.0036497242 0.004107703 0.005765643 0.0020933487 0.005061277 0.009243272 0.0015488523 0.0007353992 0.0018121667 0.00089997065 0.0039722845 0.00076643267 0.00076925394 0.0057816296 0.0009639184 0.0006752131 0.00048713144 0.0010457339 0.0005266286 0.0006206694 0.0005708278 0.008734511 0.0015159381 0.0014454074 0.0007043657 0.011756043 0.0007448033 0.00075796904 0.0011256686 0.003266978 0.0012968229 0.00064982206 0.0009705013 0.00074950536 0.0007147102 0.000820036 0.0009846074 0.005902002 0.00088868575 0.0010071772 0.0039478336 0.00092254044 0.00055484084 0.00086329476 0.0008689372 0.0032914288 0.0010588997 0.00054261554 0.0015686009 0.0005971592 0.0005971592 0.0019852018 0.0005162841 0.009073058 0.0037907856 0.00090185145 0.0032585145 0.0044500115 0.0020453879 0.0017040197 0.0014407054 0.04167325 0.0042290157 0.00089714944 0.00096579926 0.0048891823 0.0019475854 0.00078147923 0.000850129 0.0049014078 0.00045609797 0.0008811625 0.0011341323 0.0018234515 0.0011952588 0.0012103054 0.002428134 0.0032585145 0.00053603266 0.0011482384 0.0010306874 0.0035208883 0.0011529404 0.0011181454 0.004317414 0.0038293423 0.0015892899 0.0006187886 0.0012968229 0.001578005 0.0029124443 0.0020303414 0.0006526433 0.0024638695 0.001711543 0.00054167514 0.00045609797 0.0025720166 0.0007448033 0.0018243919 0.0020961699 0.004865672 0.0011237878 0.0017999413 0.001481143 0.0058295904 0.0017359935 0.0005388539 0.0008444866 0.003681698 0.0008604735 0.0005980996 0.00044199187 0.0010175217 0.0006075037 0.00046268085 0.0007438629 0.032730907 0.0012770743 0.00065170287 0.007876859 0.0015968131 0.005925512 0.0005924572 0.00038650777 0.002566374 0.009786828 0.0009620376 0.02435093 0.0005510792 0.00649634 0.00033102368 0.00036958043 0.047816936 0.00038838858 0.0004222433 0.00050688005 0.0005586025 0.0009328849 0.0003329045 0.00048431024 0.001884578 0.0003564147 0.0004137796 0.00032161962 0.0009610972 0.00035829554 0.0003526531 0.00084072497 0.008240798 0.0021460115 0.00232657 0.0020491495 0.0022108997 0.0020717194 0.002089587 0.002158237 0.0034889146 0.0020830042 0.002259801 0.0022428737 0.0022466353 0.0021939725 0.002345378 0.0023077617 0.002526877 0.0006413584 0.00047396575 0.00036958043 0.00062255026 0.0006977829 0.0004692637 0.00077207515 0.002177045 0.0007100082 0.0009930711 0.00078241964 0.00061314617 0.00036958043 0.0008228572 0.0005012376 0.006388193 0.0011228474 0.00063383515 0.0033845291 0.003111811 0.00068179594 0.0010099984 0.0015291037 0.0025936458 0.0013278564 0.0007081274 0.0024770352 0.002013414 0.0006300735 0.0014294204 0.001829094 0.0028898744 0.00036864003 0.0009987135 0.0011595234 0.00043728983 0.00046644246 0.000845427 0.00087646046 0.002776085 0.00068085553 0.0006752131 0.0017942989 0.00073822046 0.00030469225 0.00033102368 0.0004598596 0.0033074156 0.00033948736 0.00050688005 0.00031503674 0.0011745698 0.00030375185 0.0035425178 0.0004109584 0.0068931924 0.003750348 0.0007410417 0.0025165323 0.0028221651 0.00052380736 0.0004250645 0.0007335184 0.0051910533 0.0007297568 0.00086235435 0.0012121862 0.0009469911 0.0010476147 0.002048209 0.0020952295 0.0035378158 0.0013767576 0.00063195435 0.00062631187 0.0006761535 0.0005905764 0.0014040294 0.02700006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017676064 5.6503136e-06 8.47547e-06 1.5067502e-05 4.237735e-06 1.4125784e-06 1.1300627e-05 1.8834378e-06 4.1906493e-05 3.296016e-06 3.7668756e-06 1.8834378e-06 1.8834378e-06 1.4125784e-06 1.1300627e-05 4.7556805e-05 0.025893033 9.793876e-05 0.000105472514 0.0003296016 7.769181e-05 8.8992434e-05 0.0003460817 7.722095e-05 0.0011102866 7.298322e-05 9.6526186e-05 0.00014219955 0.00013278237 0.00014832073 0.000117244 9.323017e-05 0.0005476095 0.0 1.4125784e-06 4.7085946e-06 0.0 0.0 0.0 0.0 8.946329e-06 1.8834378e-06 1.8834378e-06 4.7085945e-07 0.0 0.0 4.7085945e-07 0.0003969345 0.008812134 0.00064743176 0.00023354629 0.00028628253 0.00032818902 5.6503133e-05 0.00025944356 0.0002552058 9.699705e-05 5.085282e-05 2.3542972e-05 5.4148837e-05 2.2130394e-05 2.7309849e-05 4.1906493e-05 0.0003762167 0.026145414 0.0013141687 0.00084801787 0.00071146863 0.0033525194 0.00023542973 0.00048216007 0.0004986402 0.0023566515 0.00030276264 5.4148837e-05 8.3812985e-05 5.132368e-05 7.9104386e-05 0.0002843991 0.0008084657 0.046107028 0.0015331184 0.0013956274 0.0009200594 0.001330178 0.0004760389 0.0010151729 0.0008117617 0.005548137 0.001433767 0.0014935662 0.00071476464 0.0009087587 0.0004633257 0.0017045112 0.0016465955 0.13547145 0.005353672 0.0043168394 0.003678354 0.0063603693 0.0033445146 0.0046845805 0.0031185022 0.015361318 0.008087011 0.0026118574 0.002091087 0.0023194537 0.0017388839 0.0037988941 0.009813652 0.050833985 0.0023307542 0.002553471 0.0020548305 0.0052077053 0.0042885877 0.006895737 0.004037149 0.007323277 0.0040748175 0.0022036221 0.0011818572 0.0011677315 0.0009765625 0.0025289862 0.002630221 0.03638708 0.0027954925 0.003303079 0.0021254595 0.0031180312 0.0019352323 0.002274722 0.0018010373 0.0036435104 0.006611808 0.0014865033 0.0013815017 0.0014657854 0.0012708496 0.002676836 0.0019757263 0.01663311 0.0026994373 0.0030850712 0.002522394 0.0033440439 0.002840695 0.0031820682 0.0029353378 0.003651515 0.0044063027 0.030670373 0.0024479984 0.0024941426 0.0023467634 0.00279408 0.0026641227 0.0066880877 0.0008616728 0.0010693218 0.0003969345 0.0024301056 0.000964791 0.0005344255 0.00042236093 0.0024164508 0.0022163354 0.00035596974 0.0002589727 0.0006818045 0.00028392824 0.00069593027 0.000937952 0.030908156 0.0060759704 0.010182336 0.0054954006 0.031926624 0.008044163 0.0031688842 0.005932829 0.029912759 0.01804098 0.0014770861 0.0023269875 0.010492632 0.0036741162 0.0063782623 0.014005244 0.019217657 0.005910699 0.00837659 0.00568139 0.024778979 0.0070313443 0.0030977842 0.0059620226 0.024375923 0.011046363 0.001370201 0.0022620088 0.01048039 0.0041303793 0.0066146334 0.013954861 0.0019521833 0.0007675009 0.000727007 0.0008310669 0.0006978137 0.00078303926 0.0008593185 0.0007383076 0.0006945177 0.0006347185 0.0006300099 0.0005843366 0.00065637805 0.00065166946 0.00066956214 0.0006587324 1940.0 16.174227 31378.0 0.012939001 0.000828606 0.00019121678 0.00028682518 0.014373127 0.00035056408 0.0005099114 0.0006055198 0.00178469 0.0006055198 0.00054178084 0.00092421443 0.0005099114 0.0063101538 0.002613296 0.0037924661 0.008413538 0.012142265 0.007298107 0.003728727 0.0020077762 0.00038243356 0.0018484289 0.0010516923 0.0043023773 0.00414303 0.0006692587 0.006405762 0.00079673657 0.00070112816 0.00054178084 0.0006055198 0.004270508 0.0463382 0.0020396456 0.023424055 0.009943272 0.0036968577 0.013162088 0.005099114 0.027471477 0.02724839 0.0002549557 0.0025176876 0.0057683727 0.007521193 0.0063101538 0.003314424 0.008062974 0.0006692587 0.0100707505 0.014373127 0.011026834 0.008222321 0.02132067 0.022722926 0.0014341258 0.0010198228 0.002135254 0.002071515 0.003983683 0.004971636 0.012843394 0.09407865 0.0009879534 0.03384537 0.005226592 0.0231691 0.019376634 0.06463127 0.00889158 0.006405762 0.0038243355 0.034259673 0.000892345 0.0018802983 0.023296578 0.010994964 0.035534453 0.041876473 0.018324941 0.00035056408 0.038466442 0.029829817 0.042545732 0.012684046 0.0031869463 0.010134489 0.0069156736 0.0078080185 0.00092421443 0.0006055198 0.00178469 0.0002549557 0.00057365035 0.00092421443 5.519343 2.0 10.0 0.0 3.0 1063368.0 1060864.0 1.0 8.0 137.0 1.0 1.0 1.0 0.0 0.0 1539307300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 3.0 11.0 0.0 6.0 3.0 6.0 3.0 896000.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -892416.0 -7168.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.454721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8538747 0.0 5.723008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.665149 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5644717 -4.631593 0.98728335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3295.0 0.0 39276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -892400.0 -7158.0 3192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -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 -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 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 293.0 108440.0 480.0 980480.0 3368.0 991232.0 39276.0 937984.0 17864.0 1045504.0 61784.0 995328.0 56.0 862040.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 99712.0 0.0 0.0 1528.0 978944.0 160.0 861108.0 0.0 0.0


Input: 0.40836588 0.025227865 0.008626302 0.0045572915 0.00390625 0.0024414062 0.0022786458 0.0011393229 0.0017903646 0.00032552084 0.0021158855 0.0006510417 0.00081380206 0.0006510417 0.0014648438 0.00032552084 0.0022786458 0.00048828125 0.001953125 0.00032552084 0.00048828125 0.00081380206 0.0026041667 0.00032552084 0.0006510417 0.0016276041 0.00032552084 0.0016276041 0.00081380206 0.00016276042 0.0006510417 0.00081380206 0.006184896 0.0048828125 0.00048828125 0.009928386 0.001953125 0.00048828125 0.00390625 0.0006510417 0.00032552084 0.0013020834 0.00032552084 0.00016276042 0.00048828125 0.0 0.030436197 0.0013020834 0.009277344 0.002766927 0.0017903646 0.0014648438 0.0013020834 0.0006510417 0.0006510417 0.0009765625 0.0006510417 0.0006510417 0.00016276042 0.00016276042 0.00032552084 0.00016276042 0.00032552084 0.0006510417 0.0016276041 0.009277344 0.0063476562 0.0026041667 0.0024414062 0.0094401045 0.0016276041 0.00048828125 0.0006510417 0.013509114 0.00016276042 0.0 0.0011393229 0.003092448 0.0022786458 0.0009765625 0.0066731772 0.0 0.002766927 0.00390625 0.0040690103 0.0120442705 0.0013020834 0.0006510417 0.00048828125 0.00016276042 0.00048828125 0.00016276042 0.00032552084 0.0 0.0 0.0006510417 0.0011393229 0.01578776 0.0037434895 0.0053710938 0.010579427 0.04280599 0.0011393229 0.018229166 0.0021158855 0.040039062 0.00032552084 0.001953125 0.014811198 0.0066731772 0.05110677 0.0120442705 0.003092448 0.00016276042 0.022786459 0.0126953125 0.034179688 0.0078125 0.0032552083 0.0009765625 0.00032552084 0.0139973955 0.00048828125 0.0 0.00016276042 0.00016276042 0.0006510417 0.00032552084 0.0009765625 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.00032552084 0.0 0.0 0.00016276042 0.0 0.00016276042 0.0 0.00032552084 0.0 0.00016276042 0.00032552084 0.00016276042 0.00016276042 0.0 0.00016276042 0.0 0.00016276042 0.00016276042 0.0 0.00016276042 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00048828125 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00016276042 0.0 0.00032552084 0.0 0.0 0.00032552084 0.00032552084 0.00016276042 0.00016276042 0.0 0.00016276042 0.00016276042 0.00032552084 0.00016276042 0.00032552084 0.0 0.0 0.0 0.00032552084 0.00032552084 0.0006510417 0.0 0.00016276042 0.00016276042 0.0 0.0 0.0 0.00032552084 0.0 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00016276042 0.0 0.0 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.00016276042 0.0 0.00032552084 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.00016276042 0.00016276042 0.00016276042 0.00048828125 0.0 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0006510417 0.0 0.0 0.0 0.00016276042 0.0 0.00016276042 0.0014648438 0.00016276042 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14365235 0.0008789062 0.0048828125 0.0030273437 0.0068359375 0.004003906 0.025976563 0.009667968 0.00029296876 0.0 0.0 0.0001953125 0.0001953125 0.0 9.765625e-05 0.00029296876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1765625 0.005566406 0.0296875 0.012011719 0.02626953 0.012792969 0.09189453 0.036328126 0.0013671875 0.0008789062 0.0005859375 0.0013671875 0.0013671875 0.0005859375 0.00078125 0.001953125 0.07148437 0.010644531 0.0359375 0.009667968 0.029882813 0.021484375 0.14492187 0.070898436 0.0005859375 0.000390625 0.00048828125 0.0008789062 0.000390625 0.00048828125 0.0009765625 0.0008789062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107.0 23.551401 2520.0 0.0031746032 0.009920635 0.0007936508 0.0011904762 0.001984127 0.0003968254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0484127 0.0007936508 0.018650794 0.005952381 0.0043650796 0.0015873016 0.0015873016 0.0015873016 0.0007936508 0.001984127 0.0007936508 0.0007936508 0.0 0.0 0.0003968254 0.0 0.0003968254 0.0 0.0003968254 0.021031747 0.013888889 0.003968254 0.0051587303 0.021031747 0.0015873016 0.0011904762 0.0003968254 0.029761905 0.0 0.0 0.0 0.0063492064 0.0031746032 0.0011904762 0.014285714 0.0 0.0055555557 0.0075396826 0.007936508 0.028174603 0.0007936508 0.0007936508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007936508 0.0003968254 0.03134921 0.008730159 0.011904762 0.023015874 0.09563492 0.0011904762 0.040873017 0.0035714286 0.08968254 0.0007936508 0.003968254 0.030555556 0.013095238 0.11626984 0.023809524 0.0055555557 0.0003968254 0.050396826 0.027777778 0.07936508 0.017063493 0.007936508 0.0023809525 0.0007936508 0.032539684 0.0003968254 0.0 0.0 0.0 0.0 0.0 4.8025217 0.0 0.0 0.0 1.0 6144.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 4096.0 512.0 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 -4096.0 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 -5.166627 0.0 2.527506 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 -3972.0 0.0 1024.0 0.0 0.0 0.0 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 12068.0 1024.0 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