Input: 0.18055129 0.005206734 0.0035415387 0.0035175446 0.0036999001 0.0024378072 0.0018715449 0.00180916 0.004870815 0.0017419764 0.0016987869 0.001578816 0.0034215678 0.0016244049 0.0011493205 0.005209133 0.0036087225 0.0012956848 0.0015740172 0.0014228539 0.0018979384 0.0018427519 0.0012932855 0.0010101544 0.0050483723 0.0011589181 0.0010605421 0.0011421222 0.0013172796 0.0010101544 0.0009717637 0.0011277257 0.00337118 0.0009525683 0.0014900377 0.0010965334 0.002644157 0.0010677404 0.000789408 0.0008901835 0.0014540463 0.00083739636 0.0013724662 0.0048828125 0.0013196791 0.0011157286 0.0012476966 0.0011181281 0.002368224 0.0013532708 0.0009981572 0.0030808507 0.0012644925 0.0013340756 0.00095976656 0.0007918074 0.0014276528 0.0015332272 0.0017563729 0.0033687807 0.003232014 0.002459402 0.0019483261 0.0025337837 0.003313594 0.002245854 0.003663909 0.0048828125 0.002310638 0.004518101 0.0020922911 0.0011589181 0.0017947635 0.0019459268 0.0013052826 0.001019752 0.0019171338 0.0029584805 0.0019771191 0.0014084574 0.00468846 0.002361026 0.0016531979 0.0028553056 0.00180916 0.0025889704 0.0033855767 0.0024042153 0.0016747927 0.0038462647 0.0019771191 0.0026345593 0.0032224164 0.006048929 0.004662066 0.0041173985 0.003774282 0.003416769 0.0026225622 0.0034383638 0.0031624308 0.0041006026 0.0034551597 0.0022722473 0.0060777217 0.006212089 0.0045276987 0.0027209383 0.0038534629 0.0021810695 0.0033495855 0.0043525416 0.0036855037 0.0025313844 0.0047580427 0.0036855037 0.008232398 0.0070206923 0.0022674485 0.0013580697 0.0020299063 0.002113886 0.0017563729 0.001665195 0.0018883408 0.002361026 0.0020706963 0.0018499501 0.0028457078 0.0022074631 0.0022266584 0.0065552057 0.0034527604 0.006401643 0.0035463376 0.0030352618 0.0030472588 0.005564247 0.0028049177 0.016301636 0.002298641 0.005859375 0.0023802212 0.0024737983 0.0027905214 0.0018499501 0.0031504338 0.0029512823 0.0023538275 0.002500192 0.0033519848 0.005967349 0.0059025646 0.004978789 0.0037526872 0.0026777487 0.0015356265 0.0010845362 0.0013604691 0.001636402 0.0014348511 0.0015812154 0.0012884866 0.0014636441 0.0014396498 0.0016483992 0.0010797374 0.0008709882 0.0013916616 0.0010845362 0.0014348511 0.0011205275 0.0009765625 0.00094057125 0.00089498237 0.0008038045 0.0011301251 0.00090458 0.0010701397 0.0009837607 0.001250096 0.0010029561 0.0020658977 0.0013340756 0.0015980114 0.0012668918 0.0017155828 0.0010821369 0.0009285742 0.000933373 0.001048545 0.00096456544 0.004390932 0.0018595478 0.0019147344 0.002857705 0.0018787431 0.0010437461 0.0030976466 0.003469556 0.0029872735 0.0030328624 0.003203221 0.0054514743 0.009556876 0.004650069 0.0043981303 0.0042541656 0.004971591 0.004878014 0.0064976197 0.0061089145 0.0038798563 0.0015116323 0.0016124079 0.0015716178 0.0019267314 0.0013628686 0.0014276528 0.005103559 0.013551904 0.0011181281 0.0011565187 0.00096936425 0.00230344 0.001209306 0.0013028831 0.001578816 0.0036975008 0.001163717 0.0010677404 0.0009813614 0.010598223 0.003215218 0.0029512823 0.002281845 0.0022026643 0.0007054284 0.0007918074 0.00093097356 0.0019507256 0.0011205275 0.0010893351 0.0009765625 0.0013988598 0.0006622389 0.002241055 0.0012285012 0.0027257372 0.0010869356 0.0011181281 0.001250096 0.002656154 0.0015380259 0.021995451 0.1426981 0.0048443275 2.4053263e-06 4.8106526e-06 9.621305e-06 0.0 0.0 0.0 1.2026632e-06 3.6079896e-06 0.0 0.0 0.0 2.4053263e-06 0.0 2.4053263e-06 5.5322507e-05 0.0023163294 1.2026632e-06 0.0 3.6079896e-06 0.0 0.0 0.0 1.2026632e-06 3.6079896e-06 0.0 0.0 0.0 2.4053263e-06 0.0 2.4053263e-06 0.00013229295 0.0043608565 0.00012026632 4.8106526e-06 6.0133157e-06 1.2026632e-06 1.2026632e-06 2.4053263e-06 2.4053263e-06 8.418642e-06 2.4053263e-06 0.0 0.0 6.0133157e-06 0.0 7.937577e-05 0.00033073238 0.007651343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009590036 0.0040577855 3.2471904e-05 0.00010703702 8.057843e-05 9.861838e-05 7.215979e-06 1.2026631e-05 9.380773e-05 1.3229295e-05 9.501039e-05 3.6079896e-06 8.779441e-05 8.538909e-05 2.4053263e-06 0.00010583436 4.3295873e-05 0.0048467326 0.00018400747 0.00010342903 8.659175e-05 2.5255928e-05 1.5634621e-05 8.057843e-05 1.3229295e-05 2.8863917e-05 1.2026631e-05 2.0445274e-05 0.0001503329 0.00016235953 1.2026631e-05 0.00012026632 0.0015273822 0.0036585014 0.00014672491 0.00014431958 5.0511855e-05 0.0003692176 9.380773e-05 0.0001924261 0.00012267164 2.28506e-05 9.621305e-06 2.5255928e-05 1.2026631e-05 9.621305e-06 1.6837284e-05 1.4431958e-05 3.728256e-05 0.016323747 0.0003884602 0.00066026207 0.00036681228 0.0012459591 0.00038124423 0.0022465747 0.001263999 0.0001503329 0.00022008736 0.00021527671 0.0003752309 0.0005087265 0.00011305034 0.00042574276 0.0022080897 0.009728342 0.00016717018 0.00051955046 0.00013830626 0.0012700123 0.00023331666 0.0018436826 0.0010595463 0.00011786099 0.00024053264 0.00012868496 9.019974e-05 0.00014071159 0.00013349562 9.861838e-05 0.0013313481 0.0060962997 0.0001046317 0.00052676647 0.00040289215 0.0011052474 0.0006313982 0.0032483933 0.0018076027 9.260506e-05 0.000228506 6.013316e-05 5.0511855e-05 7.215979e-05 5.5322507e-05 6.013316e-05 0.00023572198 0.016513769 0.0007721098 0.0011220848 0.00069032866 0.0015947314 0.0047805863 0.005433632 0.008012142 0.004945351 0.01004344 0.0009801704 0.0010030211 0.004995863 0.0107614305 0.0012122844 0.01827206 0.05020758 0.0035791255 0.00433079 0.003724648 0.0052796914 0.00834047 0.013206445 0.0075322795 0.013230498 0.013314684 0.005238801 0.004566512 0.013413303 0.022608865 0.006491976 0.071239755 0.01728227 0.0014131293 0.0013469828 0.0064330455 0.0033662543 0.008952625 0.010620719 0.006494381 0.008766212 0.011979728 0.0024558383 0.0019627463 0.012074739 0.01000255 0.0047252635 0.03251761 0.024522303 0.0038966287 0.0027204242 0.005549088 0.0069429744 0.009279749 0.004500366 0.007223195 0.0138811385 0.0036464748 0.0013878733 0.0025123635 0.007308584 0.004541256 0.0059038736 0.01933642 0.03321395 0.007576778 0.0059964787 0.007205155 0.011078933 0.011195592 0.0074709435 0.009685047 0.019611828 0.0030944524 0.0037150267 0.0034877232 0.011016395 0.0045208107 0.009419258 0.019199315 0.017212516 0.008431871 0.008078288 0.005719866 0.006198526 0.0061047184 0.01070731 0.005977236 0.010268338 0.0049537695 0.0052484223 0.0050102947 0.008368131 0.0049441485 0.008374143 0.010018184 879.0 11.469852 10082.0 0.03630232 0.0018845467 0.00357072 0.00238048 0.0054552667 0.0018845467 0.0021821067 0.005752827 0.0024796668 0.0022812935 0.004562587 0.007835747 0.0037690934 0.008133307 0.0067446935 0.0029756 0.0033723467 0.00178536 0.0034715335 0.0028764135 0.0018845467 0.0016861734 0.00238048 0.00119024 0.0020829202 0.0042650267 0.0031739734 0.0030747869 0.0039674668 0.0033723467 0.0027772267 0.00505852 0.015076374 0.012100774 0.0038682802 0.01011704 0.0065463204 0.0064471336 0.008530053 0.0067446935 0.0068438803 0.00803412 0.0021821067 0.0028764135 0.006347947 0.0054552667 0.0042650267 0.0036699069 0.018051974 0.0031739734 0.0054552667 0.017159294 0.006347947 0.0040666535 0.012993454 0.00862924 0.0022812935 0.0028764135 0.0021821067 0.0022812935 0.0033723467 0.0029756 0.0024796668 0.010712161 0.0058520134 0.044534814 0.009819481 0.030450307 0.023011308 0.075282685 0.009125174 0.01249752 0.018944655 0.04651855 0.009025987 0.00476096 0.030747868 0.014878 0.036699068 0.042749453 0.01428288 0.0024796668 0.04800635 0.040666535 0.055544537 0.01993652 0.00952192 0.0041658403 0.0065463204 0.01011704 0.0041658403 0.0019837334 0.0025788534 0.0020829202 0.0016861734 0.0025788534 5.754744 1.0 0.0 0.0 3.0 416768.0 483328.0 1.0 0.0 136.0 0.0 1.0 0.0 0.0 0.0 1353323000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 136704.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136704.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.688441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3933947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8481593 0.0 6.3246474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136340.0 0.0 183928.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 228884.0 183928.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 144048.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 223240.0 0.0 0.0 568.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.0 0.00027901787 0.001953125 0.001953125 0.0008370536 0.001953125 0.003627232 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.00027901787 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.0055803573 0.0008370536 0.0027901786 0.002232143 0.0011160715 0.00027901787 0.004464286 0.0025111607 0.0061383927 0.006417411 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024902344 0.03540039 0.033691406 0.03491211 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0 0.0038314175 0.007662835 0.011494253 0.011494253 0.019157087 0.011494253 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.011494253 0.0038314175 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.0038314175 0.053639848 0.011494253 0.038314175 0.03065134 0.007662835 0.0038314175 0.06130268 0.03065134 0.057471264 0.019157087 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.300486 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 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 0.0 512.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1514293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.43833843 0.005469646 0.0038539874 0.005153084 0.0038786256 0.001903849 0.0013812237 0.001184866 0.0061669773 0.0011042324 0.0012012913 0.0010265852 0.0025071078 0.0008668112 0.00069957116 0.002738556 0.002755728 0.00062715024 0.0007861776 0.0007742319 0.001365545 0.0015148665 0.0005562225 0.00053606415 0.0012065176 0.00059280626 0.0004942541 0.0006577611 0.0010855672 0.00050843967 0.0006577611 0.00064730865 0.0027378094 0.00046065677 0.00057712756 0.0005427836 0.0030103212 0.00091982033 0.0011699338 0.0012311556 0.0020875144 0.0016559752 0.001407355 0.0023749582 0.0045669978 0.0011191645 0.00088099675 0.00072196935 0.0032171314 0.0018463602 0.001852333 0.0055905962 0.0020546636 0.0015051606 0.0018717448 0.0017694596 0.0026317912 0.0016522423 0.0015775815 0.0022607273 0.0020038944 0.0017985773 0.0012460878 0.0012281692 0.0039017703 0.0017321293 0.0016514956 0.0020001612 0.003284326 0.016408937 0.003291792 0.0010982595 0.0013550925 0.0012505674 0.0006816526 0.00076079293 0.0016880793 0.002658669 0.00085113244 0.00080260297 0.007565373 0.001755274 0.0010683952 0.00239437 0.0016156584 0.007276436 0.0019165413 0.0013991423 0.0017463147 0.0030991675 0.001856066 0.0015835543 0.001306563 0.0020382383 0.0011721737 0.0009369923 0.001063169 0.0013244816 0.000705544 0.00096237694 0.0043183775 0.0023831709 0.001285658 0.00081156223 0.004882066 0.0016567218 0.0042705946 0.00074138114 0.00205989 0.0009750693 0.0015813145 0.0015148665 0.0013013367 0.000621924 0.0016589616 0.0012811783 0.0041698026 0.004495323 0.0009900015 0.0008175351 0.001272219 0.00093101943 0.00057936733 0.0004711093 0.001268486 0.0012386217 0.00077124545 0.000583847 0.0022495282 0.0015962466 0.0005114261 0.004915663 0.0025631033 0.009258678 0.0005129193 0.0004808152 0.001222943 0.005235211 0.00085038587 0.024372252 0.0012087574 0.016774775 0.0005465166 0.0004987338 0.0013700246 0.0004210866 0.0004957473 0.0004106341 0.0010228521 0.002331655 0.00047036266 0.00048753465 0.0013326942 0.0006756797 0.0004614034 0.00046961606 0.001137083 0.0005517429 0.0004210866 0.00047633552 0.0009952277 0.0018702516 0.00032776064 0.0006689602 0.0012199566 0.00043900515 0.00041660693 0.00042034 0.0009437118 0.00041884676 0.0004711093 0.00040764766 0.0011736669 0.00036882405 0.00044871107 0.00048753465 0.0013558391 0.0006353629 0.0005024668 0.0006831458 0.0010810875 0.0008951823 0.00043825855 0.0005069464 0.004294486 0.0016992785 0.0050918628 0.0005957927 0.0011512686 0.00074212777 0.00065178826 0.00058310037 0.006694082 0.0008294808 0.0009466982 0.0038203902 0.0018471067 0.0004113807 0.0016806133 0.0013565856 0.0017806587 0.0013453866 0.00043825855 0.000726449 0.0012348887 0.00035613173 0.0005465166 0.0007197295 0.0016619482 0.00057488773 0.0012431013 0.00065029506 0.0013685314 0.0004330323 0.0006525349 0.00055696914 0.002695253 0.0005233718 0.00052113197 0.001365545 0.0015126267 0.00050619984 0.0005808606 0.00041660693 0.0021681478 0.0005480098 0.00046065677 0.00075332687 0.0019658173 0.0010527165 0.00045543053 0.00043900515 0.02515619 0.0017522876 0.0005636886 0.0023898904 0.003128285 0.00051963876 0.00047558892 0.00046812286 0.0030461582 0.00052934466 0.0006137113 0.0005659284 0.0027729 0.00044721784 0.00084142655 0.0020038944 0.004266115 0.00076303276 0.0023921302 0.005404691 0.0090682935 0.005842203 0.006757544 0.068123445 0.34811428 0.0 0.0 2.9887146e-06 1.1207679e-06 3.7358933e-07 2.9887146e-06 3.7358932e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.4943573e-05 1.083409e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 2.9887146e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 7.4717864e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020532468 1.8305876e-05 3.8479702e-05 7.0981973e-06 1.7932287e-05 1.083409e-05 3.6985344e-05 1.718511e-05 2.241536e-05 7.4717866e-07 2.6151254e-06 7.0981973e-06 1.3822805e-05 5.60384e-06 1.8679466e-06 4.1094827e-05 0.0031445015 2.6151252e-05 0.00011020885 3.1381504e-05 0.00014271113 6.6125314e-05 6.724608e-05 3.4743807e-05 8.592555e-06 1.9053055e-05 1.3449216e-05 2.5404073e-05 3.810611e-05 8.218965e-06 7.0981973e-06 8.256324e-05 0.0018021949 5.60384e-05 2.727202e-05 2.0921003e-05 4.370995e-05 1.5690752e-05 4.333636e-05 2.4283307e-05 2.4656896e-05 1.681152e-05 1.5317162e-05 2.6898431e-05 2.9887146e-05 1.4569984e-05 8.9661435e-06 0.00012477883 0.001666582 1.3449216e-05 2.4656896e-05 3.5490986e-05 8.0695296e-05 6.6125314e-05 0.0001572811 0.000102363476 7.35971e-05 3.7358932e-06 1.4943573e-06 4.4830717e-06 2.80192e-05 1.2702037e-05 5.2302507e-06 1.9426645e-05 0.0010976054 4.2962773e-05 5.491763e-05 2.6524842e-05 6.6125314e-05 3.9226878e-05 2.5030486e-05 4.6325076e-05 2.241536e-05 2.9887146e-06 8.9661435e-06 7.4717864e-06 8.592555e-06 1.7932287e-05 3.324945e-05 2.9887146e-05 0.0033036503 2.8766379e-05 0.00017297186 0.0003295058 0.000876067 0.00052638736 0.0023495033 0.0012518979 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.0027832405 0.00013225063 0.00056897657 0.0014054431 0.0021444028 0.0013251214 0.0019505098 0.0013415592 0.00013523933 4.968738e-05 6.687249e-05 8.667272e-05 7.994811e-05 4.8566613e-05 4.9313792e-05 7.397069e-05 0.0033014088 0.00011618628 0.00023835 0.0003676119 0.0008898898 0.0004755792 0.0006336075 0.0004158049 0.0006392113 0.00023311975 7.733299e-05 0.00012888832 0.00014794138 9.414451e-05 0.00024395384 0.0011783007 0.005737585 0.0010423142 0.0013004645 0.013396913 0.0013400649 0.0011428097 0.0019475211 0.0015522636 0.002233317 0.0011069452 0.0011588741 0.0012769283 0.0011304813 0.0011409417 0.0017132807 0.0056255083 0.01189471 0.0011749384 0.002561702 0.0021698067 0.0036522092 0.0025482527 0.0022717968 0.0015242444 0.008792798 0.0018604748 0.0010198989 0.002219868 0.0018671994 0.0011868933 0.0032887068 0.015470708 0.041164313 0.0047419695 0.008261554 0.006043181 0.014776579 0.012541767 0.0081352815 0.006603565 0.028830636 0.0045099705 0.0033043977 0.0074744015 0.008402771 0.005225394 0.016443534 0.04542286 0.049233843 0.007122107 0.0118476385 0.010030873 0.019096391 0.019714309 0.012654965 0.009268751 0.031675518 0.004452811 0.005157401 0.009359533 0.012659075 0.007251369 0.02017868 0.044971563 0.00042850696 0.00023984435 0.00026039177 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3901.0 14.586773 56903.0 0.016203012 0.0013004587 0.0023548845 0.0015640651 0.0025833435 0.0012301636 0.0020034092 0.0031105566 0.005623605 0.005113966 0.0018276717 0.0062562604 0.0030578352 0.0019682618 0.009858883 0.007011933 0.017345307 0.017046552 0.019471733 0.017099274 0.013689964 0.012565243 0.015218881 0.015640652 0.015851537 0.014410488 0.010333374 0.015605504 0.010614554 0.012301636 0.009841309 0.0073458343 0.003145704 0.0124598 0.0061332444 0.0104212435 0.0117568495 0.011264784 0.009155932 0.010104915 0.0061859656 0.011563538 0.0045164577 0.0061332444 0.008769309 0.008329965 0.008786883 0.00718767 0.011493243 0.02683514 0.0086287195 0.01731016 0.010579407 0.008751735 0.009278948 0.0122137675 0.008452982 0.008945047 0.007134949 0.005184261 0.004498884 0.004955802 0.004674622 0.0047449167 0.0024603272 0.020824913 0.007205244 0.014638947 0.017608913 0.044848252 0.009138358 0.010632128 0.013531799 0.02198478 0.0056411787 0.0089099 0.025727993 0.012125898 0.023091929 0.024814157 0.009419538 0.004639474 0.02542924 0.01838216 0.029840255 0.0126531115 0.009366817 0.0086287195 0.0071173753 0.010702424 0.0056939 0.0028118026 0.0015464914 0.0030929828 0.0015640651 0.0008786883 6.2569942 0.0 0.0 0.0 68.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6400104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6617265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.346343 0.0 0.0 0.0 0.0 0.0 0.0 -3.8624861 6.7831097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6280.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.41167712 0.008765048 0.006303631 0.0041383835 0.0072962027 0.0028656507 0.0025134478 0.0022773116 0.008953157 0.0016209336 0.0017810259 0.001428823 0.006011463 0.0022052703 0.0011286502 0.0038902408 0.006315638 0.0015328829 0.0010646132 0.0010045787 0.0030657658 0.004314485 0.00080046104 0.044861842 0.002505443 0.0019451204 0.0006643827 0.00077644724 0.0025174501 0.0010566086 0.00062836194 0.0011886847 0.003734151 0.0008204726 0.000576332 0.0008965164 0.0077324538 0.001088627 0.00077644724 0.00062035734 0.0014768507 0.0005443135 0.00061235274 0.0010446017 0.0012407147 0.0008084657 0.000956551 0.0006043481 0.0022252817 0.0008244749 0.0007364242 0.003225858 0.0011446594 0.00090452103 0.00078845414 0.001140657 0.0020131597 0.0018130443 0.00093253714 0.0024053855 0.0014088114 0.0014488345 0.00062435964 0.00092853484 0.004466573 0.013615843 0.0066638384 0.001652952 0.004470575 0.0059314165 0.0031097913 0.0018290535 0.0020091573 0.00093253714 0.00050028815 0.0005843366 0.0022212795 0.0034419827 0.0020211642 0.00086850027 0.006791912 0.0023933786 0.0013167585 0.0033259157 0.0015889152 0.0022693072 0.005811347 0.004194416 0.0014848553 0.0029216828 0.0003602075 0.0018650743 0.0010325948 0.001652952 0.0037061346 0.002649526 0.0009925717 0.0018090421 0.00076844264 0.0012527215 0.0023133324 0.0046706903 0.0022853164 0.00092853484 0.0028896644 0.0019251088 0.005811347 0.0005803343 0.002097208 0.0010686155 0.002449411 0.0020771965 0.0022893187 0.00077644724 0.0024894339 0.0018130443 0.010522061 0.008668994 0.0020171618 0.0016049244 0.0014248207 0.0013047515 0.0008925141 0.00031618212 0.0015929175 0.0017450051 0.0016409452 0.0010205879 0.003682121 0.001664959 0.0009845671 0.008897125 0.0019931481 0.0059474255 0.0010566086 0.00091652793 0.003157819 0.0067558913 0.0013847976 0.020231653 0.00078044954 0.0052830433 0.0008244749 0.0008965164 0.0031017866 0.0003682121 0.00035220286 0.00065637805 0.00061635504 0.0005443135 0.00033619365 0.0005202997 0.0008244749 0.0008444864 0.00041223745 0.00033219135 0.000524302 0.00032818902 0.0002921683 0.00023613601 0.00077644724 0.0011566662 0.0002921683 0.0007124104 0.00040823515 0.0004482582 0.0003682121 0.0002961706 0.0006643827 0.00047627435 0.0005843366 0.00048027665 0.0005563204 0.00035220286 0.00033219135 0.00045226052 0.0012327101 0.00042424435 0.00044025359 0.00039622822 0.0005283043 0.00032418672 0.0005843366 0.00064036885 0.001977139 0.0008244749 0.00040823515 0.00091652793 0.000524302 0.00044025359 0.00063636655 0.00062035734 0.0068999743 0.0030617635 0.0033139088 0.00529505 0.0030257427 0.0005202997 0.0019611297 0.0024093878 0.0014328253 0.0019931481 0.0006923988 0.0006003458 0.00406234 0.00044025359 0.0013287654 0.00064437115 0.0011566662 0.0006083504 0.0007524334 0.0008484887 0.0006843942 0.0005363089 0.0007484311 0.00077644724 0.0014848553 0.0005202997 0.00047227202 0.00092453253 0.0008404841 0.00051229505 0.0006763896 0.0005162974 0.0017850281 0.0006843942 0.00043625128 0.00038822362 0.0010285925 0.00039222592 0.000812468 0.00047627435 0.010522061 0.002373367 0.00045226052 0.003578061 0.0023573579 0.0003682121 0.00043625128 0.00042424435 0.0033419249 0.0015889152 0.00050829275 0.000720415 0.0014888576 0.00051229505 0.0020651896 0.00144083 0.003722144 0.0012607261 0.0005803343 0.00093253714 0.0030657658 0.0007524334 0.006727875 0.036092788 0.25097656 4.0187756e-06 8.037551e-06 4.0187756e-06 8.037551e-06 0.0 8.037551e-06 2.0093878e-06 4.0187756e-06 6.0281636e-06 2.0093878e-06 0.0 0.0 0.0 2.0093878e-06 4.0187756e-06 0.00390625 6.0281636e-06 0.0 2.0093878e-06 2.009388e-05 0.0 6.0281636e-06 1.4065715e-05 3.2150205e-05 2.0093878e-06 2.0093878e-06 8.037551e-06 2.6122043e-05 0.0 3.817837e-05 5.2244086e-05 0.0038540058 1.4065715e-05 1.808449e-05 2.009388e-05 1.2056327e-05 1.808449e-05 1.2056327e-05 2.2103266e-05 2.009388e-05 1.6075102e-05 1.6075102e-05 1.6075102e-05 2.2103266e-05 1.4065715e-05 2.2103266e-05 1.808449e-05 0.0036570858 3.0140818e-05 4.4206532e-05 1.004694e-05 3.0140818e-05 1.6075102e-05 0.00010649756 5.4253473e-05 8.037551e-06 5.4253473e-05 8.037551e-06 1.6075102e-05 2.009388e-05 3.817837e-05 1.004694e-05 1.2056327e-05 0.010450826 0.0036309639 0.00024313593 6.831919e-05 0.00036972738 0.00012458205 0.00040187757 0.0003114551 0.00025117348 7.032858e-05 6.0281636e-05 0.0001165445 7.836612e-05 8.8413064e-05 8.2384904e-05 0.00011252572 0.010452836 0.0070830924 0.0003817837 0.0002491641 0.00033958655 0.00023710777 0.0002813143 0.00021299512 0.00029538 0.00017481674 0.0001306102 0.00012257266 0.00013663838 0.00012659143 0.00016476981 0.00018687308 0.0061929333 0.0064260224 0.00031949268 0.00038982125 0.0008781025 0.000108506945 0.00017883551 0.00022103266 0.00013663838 8.2384904e-05 7.032858e-05 0.0001165445 0.000108506945 7.434735e-05 0.00045814042 0.00069926697 0.017773036 0.0086062085 0.000978572 0.00079772697 0.0016838671 0.0002813143 0.0002993988 0.00055660045 0.00028734247 0.0005947788 0.00045412165 0.0003817837 0.00021902328 0.00017481674 0.00023710777 0.0037113393 0.015930427 0.016028887 0.0012458204 0.0013784401 0.0013764307 0.00053449714 0.0007595486 0.0011935764 0.000860018 0.0007776331 0.000367718 0.00036570858 0.00051641266 0.0002993988 0.0006349666 0.0029980068 0.014121978 0.005549929 0.0007454829 0.0008499711 0.0033697435 0.0015612943 0.0067073368 0.0036651234 0.00055459107 0.0003616898 0.00043804655 0.0004983282 0.0006811825 0.00043603717 0.00039183063 0.0012196985 0.022649819 0.0024414062 0.0011955858 0.0011172197 0.004024804 0.0011574074 0.0043885033 0.0037374615 0.0034802598 0.00057267555 0.00069926697 0.0010529192 0.00083791476 0.0004943094 0.0008881494 0.0047602397 0.006538548 0.0020957915 0.0007796425 0.00057468493 0.0028392652 0.000833896 0.0026483731 0.0013081115 0.00019089185 0.00019089185 0.0002471547 0.00017481674 0.00025117348 0.00039384002 0.00034360532 0.001165445 0.007890866 0.00058674125 0.0007515111 0.00067314494 0.001802421 0.0008439429 0.0011975951 0.0012558674 0.0016778389 0.0006651074 0.00041393389 0.00060482573 0.0010489004 0.0006128633 0.0009263278 0.0037394708 0.036749694 0.006755562 0.005419319 0.0046959394 0.013967255 0.012456195 0.0047943993 0.009522489 0.022177614 0.0020294818 0.0014025527 0.002160092 0.011113924 0.0026403356 0.007918998 0.016689975 0.0565924 0.013619631 0.010139371 0.010217737 0.022392618 0.023986062 0.01069999 0.016754275 0.033060458 0.0032110019 0.0028151523 0.0040690103 0.021637088 0.0055258167 0.013249904 0.027749646 0.0034079219 0.0016396604 0.001316149 0.0015994727 0.0013985339 0.0013683932 0.0014628343 0.0013985339 0.0016778389 0.0014688625 0.0012558674 0.0012438111 0.001119229 0.0011513792 0.0012458204 0.0019370499 983.0 10.528993 10350.0 0.017777778 0.0015458937 0.0010628019 0.003188406 0.013816426 0.006570048 0.0006763285 0.006280193 0.0025120773 0.0020289854 0.0015458937 0.0023188405 0.00647343 0.0023188405 0.010628019 0.0023188405 0.004927536 0.002705314 0.00589372 0.006859903 0.003768116 0.001352657 0.001642512 0.003478261 0.001352657 0.0028985508 0.0047342996 0.002705314 0.002995169 0.0014492754 0.00086956524 0.0053140097 0.014299517 0.021642512 0.00647343 0.020869566 0.013719806 0.017487923 0.009855072 0.014396136 0.007826087 0.009275362 0.00077294686 0.003285024 0.008309179 0.008502415 0.005990338 0.006183575 0.017874395 0.007536232 0.010531401 0.022898551 0.011980676 0.0057971017 0.01710145 0.019516908 0.0028019324 0.0030917875 0.00038647343 0.0025120773 0.0023188405 0.0019323671 0.0028019324 0.0057971017 0.00096618355 0.0305314 0.010048309 0.021062803 0.021062803 0.07913043 0.007922705 0.009565217 0.008309179 0.0342029 0.010434783 0.004347826 0.028502416 0.013043478 0.0389372 0.04067633 0.015458937 0.00086956524 0.03468599 0.023188407 0.0626087 0.015072464 0.0052173915 0.01236715 0.008985507 0.012077294 0.0021256038 0.00038647343 0.0017391305 0.00038647343 0.0028019324 0.0055072466 5.830254 0.0 1.0 0.0 1.0 249856.0 270336.0 0.0 0.0 302.0 0.0 1.0 0.0 0.0 0.0 1179406300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 110592.0 4096.0 4096.0 5.0 0.0 0.0 2.0 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 28672.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.782114 0.0 0.0 -0.5599657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.512607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.603106 0.0 5.285432 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25000.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -107638.0 0.0 34912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 -1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 133144.0 34912.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1260.0 114688.0 0.0 0.0 0.0 0.0


Input: 0.42120534 0.018212015 0.012332245 0.017982934 0.015119409 0.002462631 0.007139721 0.0021380982 0.0062997537 0.0013172212 0.0015844835 0.0041616554 0.0036080407 0.0013172212 0.0028444342 0.003760762 0.0033025981 0.0011835902 0.0010690491 0.0024244506 0.0020617377 0.0014699425 0.0015463032 0.0005727049 0.0024053606 0.001527213 0.00028635244 0.0003627131 0.0011263196 0.00047725407 0.00017181147 0.00055361475 0.0069679096 0.0003054426 0.00034362293 0.00068724586 0.00937327 0.0008972377 0.0008972377 0.001527213 0.0018326556 0.0012790409 0.0003054426 0.00024817212 0.0004581639 0.0019090163 0.0130576715 0.0016417541 0.0043334668 0.0036080407 0.0029017047 0.0021953688 0.0035889507 0.00234809 0.004581639 0.001870836 0.0030162458 0.0016035737 0.0014890328 0.0012981311 0.0014508524 0.0007636065 0.00043907374 0.0010308689 0.0034553194 0.0036653113 0.0016417541 0.0049825325 0.0049825325 0.010136876 0.002099918 0.003989844 0.0014126721 0.0044861883 0.0004581639 0.0005154344 0.0033407784 0.002672623 0.0046389094 0.0034362294 0.004314377 0.00034362293 0.0037225818 0.0048870817 0.007158811 0.00469618 0.0026535327 0.0011263196 0.002691713 0.00082087703 0.00070633605 0.00082087703 0.000935418 0.00034362293 0.00049634423 0.028616155 0.00082087703 0.016283909 0.0034171392 0.0068915486 0.010365958 0.021037359 0.0025580819 0.0037225818 0.0019090163 0.013554015 0.00041998358 0.0019090163 0.007292442 0.004199836 0.00820877 0.0064906552 0.0037034915 5.727049e-05 0.008647844 0.008380582 0.020044671 0.0040089344 0.0012599508 0.0016035737 0.0034171392 0.0011454098 0.0007254262 3.8180326e-05 0.00040089342 0.00026726228 0.0001527213 0.00028635244 0.0019662867 0.001870836 0.0007254262 0.0045434586 0.00082087703 0.0018517458 0.0001527213 0.00024817212 0.00038180326 0.005173434 0.00011454098 0.004848901 0.00024817212 0.0018517458 0.00017181147 5.727049e-05 0.004352557 0.00024817212 0.00017181147 0.00019090163 0.00032453277 0.00020999179 0.00020999179 0.0001527213 0.0004581639 9.5450814e-05 0.00011454098 7.636065e-05 0.00040089342 0.00020999179 0.00013363114 0.0004581639 0.0005154344 0.0010117786 0.00011454098 0.00022908195 0.00022908195 0.00017181147 1.9090163e-05 7.636065e-05 0.00041998358 0.00013363114 0.0003054426 0.0001527213 0.00013363114 0.0 0.00022908195 0.00013363114 0.00040089342 0.00022908195 0.00017181147 1.9090163e-05 0.00034362293 7.636065e-05 0.0006681557 0.00038180326 0.00068724586 0.0001527213 0.00026726228 0.00024817212 0.00041998358 9.5450814e-05 5.727049e-05 0.00020999179 0.0029589753 0.0005154344 0.0006681557 0.0016226638 0.0011072295 0.00022908195 0.00047725407 0.0023289998 0.00055361475 0.0005154344 0.0003054426 0.00034362293 0.00068724586 0.00011454098 0.00013363114 0.0001527213 0.0018517458 0.00011454098 0.0003054426 0.00017181147 0.0006681557 0.00013363114 0.00019090163 0.00024817212 0.0006681557 0.0001527213 0.00024817212 0.00041998358 0.00034362293 0.00013363114 0.00024817212 0.00017181147 0.008380582 0.0003054426 0.0001527213 0.00017181147 0.0005154344 0.0003627131 0.00017181147 5.727049e-05 0.0024053606 0.00055361475 0.0001527213 0.0009163278 0.0016417541 9.5450814e-05 0.00013363114 0.00097359833 0.0008781475 0.00022908195 0.00017181147 0.00020999179 0.0009163278 1.9090163e-05 0.00043907374 0.00013363114 0.0007826967 7.636065e-05 0.00017181147 0.00040089342 0.0005727049 0.00026726228 0.0007636065 0.013305844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01734375 8.789063e-05 0.00041992188 7.8125e-05 0.00012695312 0.000107421874 0.00083984376 0.00046875 6.8359375e-05 2.9296874e-05 2.9296874e-05 1.953125e-05 9.765625e-05 7.8125e-05 6.8359375e-05 0.00013671875 0.09963867 0.0007714844 0.0030371093 0.00078125 0.0012792968 0.00171875 0.0032910155 0.0026855469 0.00028320312 0.00044921876 0.00022460938 9.765625e-05 0.00072265626 0.00061523437 0.0008496094 0.0035546876 0.04765625 0.000703125 0.0012890626 0.0003515625 0.00083007815 0.000703125 0.0024902343 0.0012109375 0.000234375 0.0001171875 0.00020507812 0.00014648438 0.00029296876 0.00029296876 0.0009765625 0.0025 0.08626953 0.0033789063 0.003203125 0.005292969 0.0020605468 0.0022851562 0.008300781 0.003935547 0.0009960937 0.00072265626 0.00045898437 0.0003125 0.0006542969 0.0005371094 0.00049804687 0.00109375 0.09033203 0.0017089844 0.008876953 0.003623047 0.0009667969 0.0015527344 0.018066406 0.008652343 0.0010351562 0.00041992188 0.0004296875 0.00048828125 0.00081054686 0.0011425781 0.00080078124 0.00109375 0.039697267 0.0006445313 0.0035644532 0.0064453124 0.014570313 0.023144532 0.03100586 0.01618164 0.0025097656 0.0003125 0.00021484375 0.00028320312 0.0005566406 0.00021484375 0.00038085936 0.0002734375 0.05267578 0.0031054688 0.0059179687 0.009560547 0.01413086 0.012402344 0.011494141 0.0050683594 0.0005273438 0.00059570314 0.00032226564 0.0003125 0.0005078125 0.00029296876 0.0009667969 0.0021191407 0.030585937 0.001640625 0.0047070314 0.004951172 0.006328125 0.0070703123 0.011884766 0.0051464844 0.0012597656 0.0009863281 0.0001953125 0.0004296875 0.0009765625 0.00029296876 0.0016699219 0.001875 0.03734375 0.004814453 0.0052734376 0.0035253905 0.008945312 0.009472656 0.012861328 0.0062597655 0.002705078 0.0010253906 0.0007714844 0.00044921876 0.0015625 0.0008691406 0.002705078 0.0014160157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009912109 0.0019335938 0.0024902343 0.0007617187 0.003925781 0.0014550781 0.0011230469 0.0008789062 0.007158203 0.00081054686 0.00034179687 0.0007324219 0.0028808594 0.000625 0.0029492187 0.0020214843 0.014003906 0.0019726562 0.0035253905 0.0014257813 0.0026953125 0.002734375 0.0043261717 0.0018554687 0.008769531 0.0024902343 0.0007324219 0.0011914063 0.0038671875 0.0012304687 0.005498047 0.0036816406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1050.0 14.192381 14902.0 0.016105222 0.00026842035 0.0004026305 0.00026842035 0.013555228 0.00060394575 0.0 0.0 0.003221044 0.003086834 0.0 0.0 0.0004026305 0.004764461 0.038585424 0.004563146 0.007985505 0.007717085 0.0079184 0.006173668 0.010401288 0.005301302 0.01503154 0.005502617 0.008186821 0.0040263054 0.0014763119 0.0004026305 0.000805261 0.00060394575 0.00046973562 0.0012078915 0.0041605155 0.010602604 0.0041605155 0.014763119 0.008522346 0.02335257 0.006442088 0.011407864 0.003153939 0.012213126 0.00087236613 0.00073815597 0.010401288 0.008052611 0.015367065 0.011273654 0.009998658 0.00073815597 0.01214602 0.014696014 0.02335257 0.013286808 0.007717085 0.0026170984 0.008321031 0.0014092068 0.0017447323 0.00026842035 0.0004026305 0.00026842035 0.00020131526 0.099248424 0.0004026305 0.056636695 0.0072473492 0.02019863 0.033686753 0.05093276 0.0057710377 0.01147497 0.0058381427 0.047040667 0.00026842035 0.006374983 0.024224937 0.014427594 0.028318347 0.022278888 0.010334183 0.00013421018 0.028653871 0.020064421 0.060730103 0.010803919 0.0029526239 0.0036236746 0.010602604 0.0033552544 0.0020131527 0.0 0.0004026305 0.00013421018 6.710509e-05 6.710509e-05 5.511816 0.0 0.0 0.0 9.0 52383.0 90112.0 0.0 2.0 41.0 1.0 0.0 0.0 1.0 689.0 1535092900.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 6656.0 1536.0 4096.0 17.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 -2560.0 -1024.0 -9216.0 -512.0 0.0 0.0 0.0 1024.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -6656.0 -1536.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -2.2660353 0.0 0.0 -11.461114 -5.656304 -6.009469 -1.4145502 0.0 0.0 0.0 3.0359645 0.0 3.6048784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7641286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9270585 0.0 0.0 0.0 0.0 0.0 4.124315 0.0 0.0 -6.116986 -4.7157116 0.0 0.0 0.0 0.0 -1.7752408 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -1998.0 -811.0 -8872.0 -44.0 0.0 0.0 0.0 915.0 0.0 4188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 1060.0 0.0 0.0 -220.0 0.0 0.0 0.0 0.0 0.0 103.0 0.0 0.0 -6500.0 -1308.0 0.0 0.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 103.0 28672.0 1308.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 572.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 40964.0 0.0 0.0 0.0 0.0 176.0 33024.0 0.0 0.0 0.0 0.0


Input: 0.22026365 0.007311827 0.004953173 0.005760309 0.0075022504 0.0032869682 0.0031203476 0.0025296023 0.006511183 0.0020492158 0.0020167571 0.0024343904 0.0052344804 0.0025642246 0.0016726968 0.0105533535 0.0049142228 0.0019172177 0.0016380743 0.0015168957 0.0027871067 0.0030878892 0.0022829173 0.0014606343 0.0026962226 0.0016250908 0.001311325 0.0013589308 0.0021509193 0.0017505973 0.0013372918 0.0017073192 0.004490098 0.0015168957 0.0016553855 0.0014454869 0.010432174 0.0015450264 0.0019929544 0.0013069971 0.0018847592 0.0015017485 0.0023435066 0.0026377973 0.0019734793 0.002670256 0.0018934148 0.0013546031 0.0035488002 0.0036310286 0.0019626596 0.0046523907 0.0026551085 0.0027957621 0.001865284 0.0019475124 0.0024322267 0.002691895 0.0016597133 0.0036959457 0.0032696568 0.0030965446 0.0018847592 0.004353772 0.0030727417 0.0033064433 0.0051630717 0.008571219 0.0037478793 0.0056889 0.0033280822 0.0019669875 0.002689731 0.0018414812 0.0017181387 0.001222605 0.0025945192 0.0030813974 0.0018544645 0.0015601738 0.0061757783 0.002133608 0.0018133504 0.0031052004 0.0024581933 0.0031441506 0.0034124744 0.0029299243 0.0030121524 0.0041611847 0.0014195201 0.0018631201 0.0019691514 0.0026291418 0.0023326871 0.0023802929 0.0017938752 0.0041114152 0.0016467299 0.0028195651 0.0030900529 0.0058598486 0.005041893 0.0020405601 0.0040335143 0.0035964062 0.0051630717 0.001754925 0.0039621056 0.002243967 0.004442492 0.0038733857 0.0030662501 0.0013610948 0.0043234774 0.003996728 0.010051328 0.0075412006 0.0019496763 0.0029385798 0.002269934 0.0021574108 0.0016315826 0.001378406 0.0040638093 0.002575044 0.001867448 0.0027871067 0.0032977876 0.0021162967 0.0014195201 0.007893917 0.0055871964 0.008099488 0.0017917114 0.0016359104 0.0030575944 0.007203632 0.0017614168 0.015554132 0.0027243535 0.0074416613 0.0015709933 0.0012507357 0.001932365 0.0012918499 0.0011836548 0.0014498148 0.0019150538 0.0016337465 0.0010841152 0.0011209016 0.001601288 0.0014281757 0.0012420801 0.0013675864 0.001800367 0.0013048333 0.0012182771 0.0016142713 0.0017679085 0.0018999066 0.0011966382 0.0014389952 0.0016185992 0.0013005055 0.0012572274 0.001110082 0.0015969601 0.001335128 0.0013091611 0.0013416196 0.0019453485 0.0013610948 0.0012680469 0.001488765 0.0016835163 0.001332964 0.0011533601 0.0012528996 0.0017722363 0.0014519787 0.0023478344 0.0017960392 0.0020946579 0.0014692899 0.0013654226 0.0012377523 0.0018111866 0.0015428626 0.0012572274 0.001690008 0.007898245 0.004197971 0.0029147768 0.00368729 0.0034189662 0.0015536821 0.0030705777 0.0035488002 0.002953727 0.0032696568 0.0016250908 0.0014303396 0.00662587 0.0014736177 0.0019756432 0.0014519787 0.002241803 0.0016250908 0.001800367 0.001622927 0.0016640411 0.0013264723 0.0018566285 0.0015320431 0.0024408821 0.0019734793 0.0026551085 0.002114133 0.0017982031 0.0022158362 0.0020795104 0.0013567669 0.002845532 0.0017830557 0.0014498148 0.0014866011 0.0023326871 0.0018587924 0.001802531 0.001534207 0.009161964 0.0027589758 0.0013567669 0.0039166636 0.0035704393 0.0013243085 0.0014606343 0.00209033 0.0037175848 0.0019128899 0.0024084237 0.0024733408 0.002068691 0.0015277152 0.0029732022 0.0031636257 0.0036764706 0.008783281 0.023389624 0.001423848 0.011087837 0.003979417 0.0036699788 0.043645915 0.07333333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5954863e-06 0.0 0.0 1.6276043e-05 0.0 0.004420573 0.0021180555 0.0 0.0 0.0 0.0 0.0 0.0 0.000116102434 5.4253474e-06 7.5954863e-06 5.4253474e-06 1.3020834e-05 1.4105903e-05 3.90625e-05 4.340278e-05 0.0043044705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005795356 1.1935764e-05 1.0850695e-05 4.340278e-06 8.680556e-06 3.580729e-05 2.4956596e-05 7.921007e-05 0.0001920573 1.1935764e-05 3.90625e-05 7.378472e-05 0.00015733507 0.00011284722 8.897569e-05 0.006686198 0.003796658 2.4956596e-05 3.2552085e-05 3.2552085e-05 7.161458e-05 5.859375e-05 7.161458e-05 6.293403e-05 2.7126736e-05 1.844618e-05 1.4105903e-05 3.580729e-05 4.5572917e-05 4.8828126e-05 1.7361112e-05 8.572049e-05 0.0036208767 0.00015842014 0.00016927083 0.0002094184 0.00012586806 0.000116102434 8.789063e-05 0.0005175781 9.440104e-05 7.8125e-05 8.4635416e-05 2.8211805e-05 2.9296874e-05 0.00011067709 2.170139e-05 0.003436415 0.0022287327 0.0 0.00032226564 1.3020834e-05 1.0850695e-06 5.642361e-05 0.0016503907 0.00083658856 0.00018012153 3.1467014e-05 1.7361112e-05 2.170139e-06 4.340278e-06 7.5954863e-06 4.340278e-06 0.0013107639 0.019513888 0.0002625868 0.0012771267 0.0003016493 0.001531033 0.0005881076 0.0030967882 0.0025173612 0.0008506944 0.0005284288 0.0003016493 0.00026909722 0.0002669271 0.00025390624 0.00021050347 0.0037858074 0.014513889 0.0005533854 0.0010557725 0.00085394963 0.00140625 0.00043402778 0.0012597656 0.0014268663 0.0011924913 0.00049479166 0.00047743056 0.0002528212 0.00045681425 0.0005034722 0.00075737847 0.0076942276 0.0147949215 0.00089952257 0.0012424046 0.0006781684 0.0033734809 0.0018641494 0.008542752 0.004605035 0.0012543403 0.0005403646 0.00045247396 0.00054904516 0.00047743056 0.00054904516 0.00072265626 0.006120877 0.0087858075 0.0011664496 0.0014746094 0.0011176215 0.0018066406 0.00078342017 0.004136285 0.002748481 0.0004546441 0.00042100693 0.00058051216 0.00039713542 0.0006738281 0.0013389757 0.00095703127 0.0064908853 0.016226128 0.001374783 0.0020052083 0.011287977 0.0026627604 0.0022428385 0.0049576825 0.004672309 0.0022873264 0.0019737412 0.0020985242 0.0021440971 0.0021831598 0.0022721353 0.0024479167 0.012496745 0.011470269 0.0018153212 0.0039127604 0.0038335503 0.003126085 0.0020507812 0.0019943577 0.002469618 0.0050141057 0.0013715278 0.0014876302 0.0014605034 0.0035590278 0.001810981 0.0018793403 0.010521919 0.06608941 0.009114583 0.012139757 0.0077582467 0.015406901 0.013936632 0.009831814 0.011635199 0.031531032 0.003420139 0.0036295573 0.0053634983 0.020200739 0.006338976 0.012034506 0.024902344 0.03048394 0.006202257 0.0046516927 0.0065212674 0.009855686 0.010448134 0.007221137 0.0100727 0.017546657 0.0020095487 0.0022070312 0.0028526476 0.010891927 0.005207248 0.009105903 0.015833333 0.014711372 0.011942274 0.012318794 0.013498263 0.012057291 0.012340494 0.0125509985 0.012230903 0.011844618 0.01226671 0.011819662 0.011805556 0.012186415 0.0116818575 0.012470704 0.012051866 2718.0 12.0415745 32729.0 0.02315989 0.0033303797 0.006324666 0.0017721287 0.0052247243 0.0023526535 0.013260411 0.0030248403 0.0034831495 0.0039720125 0.016315805 0.0033303797 0.006385774 0.006324666 0.00867732 0.00433866 0.012771548 0.028384613 0.0068440833 0.009166183 0.011885484 0.012618778 0.0070274067 0.007394054 0.008463442 0.006996853 0.005866357 0.008310673 0.008493996 0.010327233 0.0067829755 0.008035687 0.0066302055 0.010357787 0.0034525956 0.00953283 0.008371781 0.00751627 0.016224144 0.0065690977 0.0076995934 0.005744141 0.0022915457 0.0025970852 0.0065996516 0.0050414004 0.005255278 0.0056219255 0.011793822 0.0035137034 0.00635522 0.011427174 0.009196737 0.0046136454 0.0055608177 0.00852455 0.013902044 0.006110789 0.002688747 0.0020776682 0.0027804088 0.0019860063 0.0019554524 0.0070274067 0.0055608177 0.031165022 0.008005133 0.018882336 0.017262978 0.052552782 0.008157902 0.011946592 0.0098994775 0.028476276 0.005438602 0.0041858903 0.02557365 0.011243851 0.02991231 0.032326072 0.0140242595 0.0034525956 0.03144001 0.023801522 0.043386597 0.01185493 0.00635522 0.018607352 0.0072412845 0.007577378 0.00549971 0.0024748694 0.029454 0.004277552 0.0023220996 0.007974579 6.142335 1.0 13.0 0.0 6.0 462128.0 475136.0 1.0 1.0 203.0 1.0 1.0 1.0 0.0 0.0 1542841600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 173056.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64512.0 0.0 0.0 0.0 0.0 0.0 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 -173056.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2061193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.902578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.619304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6104097 0.0 7.1632614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64291.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172811.0 0.0 163724.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -2.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -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 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67.0 244448.0 360.0 239284.0 163724.0 262144.0 0.0 0.0 6960.0 455168.0 10160.0 425984.0 56.0 181232.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 232592.0 0.0 0.0 880.0 180224.0 0.0 0.0 0.0 0.0