Input: 0.18977399 0.01753976 0.007209124 0.0052525112 0.0117466515 0.0050467355 0.003627232 0.0035470144 0.013445173 0.0018659319 0.001851981 0.0015101841 0.008959961 0.0018868583 0.0013462611 0.008618164 0.007418387 0.0013288226 0.0011195592 0.0010986328 0.0051722936 0.0026367188 0.002797154 0.0010881696 0.0028808594 0.00095563615 0.0023995535 0.00092075893 0.0022216798 0.00071498327 0.0008789062 0.00087541854 0.0070347376 0.0010114397 0.00084751676 0.00092773436 0.0019321986 0.0013497489 0.0006452288 0.0015345982 0.0015032087 0.0006870815 0.0006347656 0.0027239118 0.0013427734 0.0026227678 0.0013392858 0.00062779017 0.0025006975 0.0014543806 0.0014055525 0.0070870537 0.0017543248 0.0012555803 0.0010393416 0.0007533482 0.0025076729 0.0024902343 0.0008684431 0.0040527345 0.0013776507 0.0012381418 0.000945173 0.0015799386 0.011108398 0.0038120814 0.002078683 0.0027936662 0.001726423 0.021697126 0.003819057 0.0019077846 0.0020996095 0.0013497489 0.00077776227 0.00069056917 0.0018694196 0.008053153 0.0022426061 0.0010323661 0.011512974 0.0029192243 0.0015938896 0.0058279857 0.0014369419 0.0051722936 0.006190709 0.0047572544 0.0014439174 0.005950056 0.0006940569 0.0015625 0.00086495536 0.0062569752 0.003491211 0.0022705079 0.0012137276 0.005095564 0.0013462611 0.0030831473 0.0035853796 0.008816964 0.0059116906 0.0020089287 0.0064383373 0.004830497 0.009842355 0.0014474051 0.0042933873 0.0019182478 0.004537528 0.0050606863 0.0031145369 0.0009172712 0.006654576 0.006539481 0.0136265345 0.014003209 0.0022739954 0.0017822266 0.0022007534 0.0019740514 0.00083007815 0.00055106025 0.0012869699 0.0037458148 0.0022530693 0.0014857701 0.0036586216 0.0012799944 0.0007219587 0.01358817 0.0035609654 0.010351563 0.00084751676 0.00057547435 0.0020717075 0.01429269 0.0013881138 0.035330635 0.001398577 0.018408203 0.00068359374 0.0004813058 0.0010219029 0.00038364955 0.0003871373 0.00047433036 0.0011509487 0.0006766183 0.0004080636 0.00032784598 0.0008161272 0.0007393973 0.0004080636 0.0004394531 0.0008893694 0.0010044643 0.00047084264 0.0010881696 0.0024379184 0.0011300223 0.00041155133 0.00072544644 0.00113351 0.0005126953 0.00032435826 0.0003766741 0.0015869141 0.00039411272 0.000554548 0.00044642857 0.0010428292 0.0003313337 0.000453404 0.00047433036 0.001374163 0.0006312779 0.00036272322 0.0006138393 0.0011579241 0.0010184152 0.0017368862 0.0014718192 0.0029261997 0.0006312779 0.00056849886 0.0006347656 0.0017299107 0.0010358538 0.0008684431 0.0008126395 0.010100447 0.0029401507 0.0032156808 0.0046805246 0.0038818358 0.00083007815 0.0045200894 0.004035296 0.0027901786 0.002999442 0.00072544644 0.00071498327 0.0020472936 0.0007672991 0.0022984096 0.0014613561 0.0018345424 0.001248605 0.0014404297 0.0008858817 0.0022530693 0.0004813058 0.0006591797 0.0006870815 0.003703962 0.0006626674 0.00047084264 0.0018205915 0.0012137276 0.0005022322 0.0005196708 0.00048479353 0.003013393 0.0009905134 0.0010323661 0.00057547435 0.002444894 0.0014753069 0.0005092076 0.0005859375 0.024026925 0.00226702 0.0006626674 0.005419922 0.0063302177 0.000554548 0.00071847095 0.00072544644 0.0034946986 0.0019496373 0.0008265904 0.0010811941 0.0021902903 0.0008091518 0.002483259 0.0023716518 0.0040108818 0.00199149 0.00077078684 0.0011160715 0.0061802454 0.002859933 0.0059082033 0.056026787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003295461 0.00015751008 1.0500672e-05 1.0500672e-05 1.0500672e-05 1.0500672e-05 1.0500672e-05 8.7505605e-06 8.7505605e-06 8.7505605e-06 8.7505605e-06 8.7505605e-06 8.7505605e-06 8.7505605e-06 8.7505605e-06 8.7505605e-06 0.0054270974 0.0014613435 1.5751008e-05 1.22507845e-05 1.5751008e-05 1.5751008e-05 2.4501569e-05 1.22507845e-05 1.4000896e-05 2.2751456e-05 3.1502015e-05 1.4000896e-05 7.000448e-06 1.4000896e-05 6.125392e-05 1.9251233e-05 0.0028299312 0.0005565356 3.500224e-06 5.250336e-06 2.1001344e-05 7.000448e-06 1.9251233e-05 5.250336e-06 1.5751008e-05 5.250336e-06 1.9251233e-05 1.9251233e-05 1.7501121e-05 7.000448e-06 1.9251233e-05 3.3252127e-05 0.005281838 0.0010395666 2.9751904e-05 2.4501569e-05 4.7253023e-05 2.8001792e-05 4.7253023e-05 3.8502465e-05 4.550291e-05 4.550291e-05 6.4754146e-05 4.550291e-05 3.3252127e-05 1.9251233e-05 0.00022926467 0.00014875951 0.009461106 0.00035177253 0.00034477207 0.0003640233 0.00022926467 0.00014175907 0.0016783574 0.00086630543 0.00035352263 5.7753696e-05 5.4253473e-05 4.7253023e-05 4.0252577e-05 4.2002688e-05 0.0002327649 7.175459e-05 0.03625707 7.175459e-05 0.0040725106 0.00030801972 0.0024729082 0.0012775818 0.0127583165 0.006358157 3.5002242e-05 2.625168e-05 0.00014000897 9.9756384e-05 6.650425e-05 0.000108506945 2.2751456e-05 0.0004410282 0.019496247 0.00012425795 0.0021963906 0.00023976534 0.0020038784 0.0009608115 0.009086582 0.004324527 0.00011375728 0.00018376176 0.00019601255 9.100582e-05 9.4506046e-05 0.00018376176 5.6003584e-05 7.5254815e-05 0.023355246 0.0010273157 0.0012828321 0.0016941085 0.0045327903 0.0015453489 0.008227277 0.004203769 0.00092930946 0.00043577788 0.0004095262 0.00039902554 0.00053728436 0.00045852934 0.00041827676 0.00072279625 0.019611755 0.0007665491 0.0020021282 0.00085055444 0.0041792677 0.0010763189 0.008785563 0.004972068 0.00052153337 0.00045677923 0.00037627408 0.00036927362 0.0005810372 0.00054953515 0.00088030635 0.00061603944 0.0065261675 0.00047078013 0.000609039 0.00038327454 0.0007840502 0.00060378865 0.0013248348 0.00085230457 0.0004095262 0.00027476758 0.0002485159 0.00030976982 0.0002782678 0.00026951724 0.0004952817 0.0004970318 0.007439726 0.00076479896 0.0009590614 0.0011533238 0.0009783126 0.0007245464 0.0011463234 0.0011078209 0.0014210909 0.00040252577 0.00026776714 0.0006580421 0.0010903198 0.0004987819 0.0009818128 0.0019111224 0.06464039 0.010696685 0.0059801326 0.011100961 0.021053847 0.021433622 0.009896884 0.016795825 0.047723804 0.0036034805 0.00343547 0.0058366237 0.018463682 0.005141829 0.019615255 0.04282524 0.07510956 0.015196223 0.0076479893 0.0148041975 0.029512139 0.032795347 0.015274977 0.02234718 0.05576382 0.003908 0.0056161094 0.008267529 0.02547288 0.010225904 0.026965726 0.045357652 0.0029034358 0.0017308608 0.0016136033 0.001452593 0.0014000896 0.0014648438 0.0013178344 0.0015208473 0.0016293543 0.0012635809 0.0014473427 0.0014385921 0.0014508428 0.0014018397 0.0014928456 0.0015610999 908.0 11.734582 10655.0 0.031722195 0.0011262319 0.0018770531 0.0011262319 0.0058188643 0.0010323791 0.0013139371 0.0041295164 0.0017832004 0.0014077898 0.00084467384 0.002158611 0.0016893477 0.00084467384 0.008165181 0.0014077898 0.0034725482 0.002721727 0.0035664008 0.0025340216 0.0023463164 0.0013139371 0.0020647582 0.0018770531 0.002440169 0.0037541061 0.0013139371 0.0045049274 0.0016893477 0.00084467384 0.0016893477 0.0013139371 0.0115438765 0.007602065 0.0023463164 0.015861098 0.0062881275 0.0074143596 0.009291412 0.008352886 0.0037541061 0.007038949 0.0007508212 0.0007508212 0.0061004222 0.0047864853 0.0037541061 0.0032848427 0.020084467 0.0057250117 0.0071328017 0.014828719 0.010699202 0.0050680432 0.009291412 0.015297982 0.0046926327 0.0030032848 0.002158611 0.002440169 0.0013139371 0.0026278743 0.0032848427 0.005912717 0.005443454 0.050774284 0.009572971 0.03219146 0.027686533 0.0937588 0.0101360865 0.010511497 0.018864382 0.043359924 0.007602065 0.00459878 0.035945565 0.013139371 0.037353355 0.051900517 0.014734866 0.001595495 0.05415298 0.033317693 0.06766776 0.021398405 0.0087282965 0.004880338 0.008071328 0.009385265 0.002721727 0.00046926326 0.0007508212 0.00056311593 0.0013139371 0.0010323791 5.5235653 0.0 0.0 0.0 3.0 286720.0 557056.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1436250400.0 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 10.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 364544.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364544.0 -5632.0 145408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4101663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364120.0 -5418.0 145308.0 0.0 0.0 0.0 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 0.0 120.0 368096.0 200.0 385840.0 145308.0 393216.0 0.0 0.0 0.0 0.0 15180.0 540672.0 84.0 62016.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 30632.0 0.0 0.0 816.0 385024.0 128.0 367252.0 0.0 0.0


Input: 0.21979631 0.014962332 0.008998326 0.007149833 0.013950893 0.005092076 0.002859933 0.0015345982 0.014090402 0.0012904576 0.0006626674 0.0008719308 0.009835379 0.002546038 0.00069754466 0.004568917 0.0075683594 0.0006626674 0.0006626674 0.00048828125 0.0042898995 0.0009765625 0.00034877233 0.00048828125 0.002406529 0.00027901787 0.0012555803 0.00059291295 0.0015694754 0.0012555803 0.00062779017 0.0004185268 0.0016043527 0.00052315847 0.00024414062 0.000453404 0.0042550224 0.000453404 0.0008719308 0.00080217636 0.0012207031 0.00080217636 0.000453404 0.0023716518 0.0010114397 0.000453404 0.00048828125 0.00048828125 0.0013950893 0.00034877233 0.0013253348 0.00327846 0.00055803574 0.00048828125 0.00038364955 0.00027901787 0.0021972656 0.001499721 0.00031389509 0.005126953 0.00080217636 0.00048828125 0.0006626674 0.0002092634 0.0025111607 0.0010463169 0.00055803574 0.0010114397 0.010986328 0.021623883 0.003592355 0.0015694754 0.005196708 0.000906808 0.00024414062 0.0007672991 0.0010463169 0.008719308 0.002999442 0.0012207031 0.01851981 0.0027204242 0.0020228794 0.009172712 0.0007324219 0.0021972656 0.0066964286 0.007080078 0.0014299665 0.0038713727 0.00034877233 0.0024414062 0.00038364955 0.0031040737 0.0042550224 0.0031389508 0.0010463169 0.00080217636 0.00034877233 0.00027901787 0.0028250557 0.002232143 0.003313337 0.00055803574 0.008056641 0.00034877233 0.0077078682 0.0006626674 0.0007324219 0.00024414062 0.0004185268 0.00062779017 0.0007672991 0.00031389509 0.0014299665 0.0024762836 0.007882254 0.0119280135 0.002406529 0.0014648438 0.0008719308 0.00059291295 0.00031389509 0.00062779017 0.0018833706 0.00327846 0.0015694754 0.0006626674 0.002406529 0.0012207031 0.00027901787 0.017124722 0.00390625 0.013392857 0.00027901787 0.000453404 0.0017438616 0.0121024 0.0011858259 0.032156806 0.0011160715 0.03529576 0.00048828125 0.00034877233 0.0010114397 0.00027901787 0.0012904576 0.00024414062 0.0007672991 0.0009765625 0.00013950893 0.00017438616 0.00062779017 0.0007324219 0.00062779017 0.00027901787 0.000906808 0.0010811941 0.0009765625 0.00013950893 0.0013253348 0.00034877233 0.00027901787 0.000906808 0.0008719308 0.00038364955 0.00038364955 0.00031389509 0.0004185268 0.00048828125 0.00031389509 0.00031389509 0.0014299665 0.00034877233 0.00027901787 0.00038364955 0.0014648438 0.0021623883 0.0017787388 0.0010463169 0.0014299665 0.0008719308 0.0007672991 0.00059291295 0.0034179688 0.0012555803 0.0010114397 0.00048828125 0.0021972656 0.00226702 0.00059291295 0.000453404 0.009800502 0.0011858259 0.002999442 0.005719866 0.0062430245 0.00034877233 0.010009766 0.0042898995 0.0012555803 0.0033482143 0.0002092634 0.0016043527 0.0011858259 0.00048828125 0.0023367745 0.0012207031 0.0018833706 0.0007324219 0.0011509487 0.00080217636 0.0016741072 0.00038364955 0.0010463169 0.00055803574 0.0028948102 0.00069754466 0.0007672991 0.0017089844 0.0012904576 0.0009416853 0.0007672991 0.0004185268 0.0008719308 0.000453404 0.0008370536 0.00048828125 0.0012904576 0.0007672991 0.000906808 0.00059291295 0.03843471 0.00327846 0.0009416853 0.0062430245 0.007149833 0.0004185268 0.00048828125 0.00062779017 0.004638672 0.0024762836 0.0004185268 0.000906808 0.004359654 0.00069754466 0.0014648438 0.001813616 0.003627232 0.0017787388 0.00069754466 0.0015694754 0.010428293 0.0020577568 0.008126395 0.087402344 0.074074075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03262442 0.0004159433 0.00030743633 3.616898e-05 0.00030743633 0.0001808449 0.00063295715 0.0003797743 0.00030743633 0.00068721065 7.233796e-05 0.00021701389 0.00014467593 0.00034360532 5.4253473e-05 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023473669 0.00063295715 0.00043402778 0.0003616898 0.001808449 0.0014286748 0.0003797743 0.0010127315 0.0020797164 0.0004159433 0.00023509839 0.0005244502 0.0009765625 0.0003978588 0.0012116609 0.0016637732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11480035 0.013255931 0.01083261 0.0126953125 0.03978588 0.04714627 0.020905672 0.022081163 0.08702257 0.0047200522 0.0049370658 0.016095197 0.035138164 0.012731481 0.044722944 0.105721936 0.05658637 0.009566695 0.005117911 0.0063476562 0.021393953 0.020507812 0.008463542 0.014467592 0.035047743 0.0040690103 0.0035626446 0.005443432 0.016981337 0.0043041087 0.019079138 0.028320312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22.0 6.8636365 151.0 0.046357617 0.0066225166 0.0 0.0 0.0066225166 0.0066225166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03311258 0.0 0.026490066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0066225166 0.0066225166 0.0 0.0 0.0 0.0 0.0 0.0 0.013245033 0.0 0.0 0.0 0.0066225166 0.013245033 0.0 0.0 0.01986755 0.0 0.0066225166 0.0 0.0 0.0 0.0 0.0066225166 0.0066225166 0.059602648 0.0066225166 0.09933775 0.0066225166 0.0 0.059602648 0.052980132 0.0 0.01986755 0.0 0.01986755 0.0 0.03311258 0.026490066 0.0 0.0066225166 0.0397351 0.0066225166 0.013245033 0.026490066 0.01986755 0.0066225166 0.0066225166 0.03311258 0.013245033 0.013245033 0.0 0.0 0.013245033 0.026490066 0.01986755 0.0066225166 0.0 0.0397351 0.01986755 0.046357617 0.0066225166 0.013245033 0.0 0.0066225166 0.0 0.0 0.0 0.013245033 0.0 0.0066225166 0.0 5.1103067 0.0 0.0 0.0 1.0 28672.0 409600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1217278300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 290816.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 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 -290816.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3292065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286812.0 0.0 31376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 344972.0 31376.0 376832.0 0.0 0.0 5464.0 28094416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 320248.0 0.0 0.0 856.0 294912.0 0.0 0.0 0.0 0.0


Input: 0.13430053 0.006248547 0.0041783107 0.0047404636 0.0054755867 0.0040269615 0.0032810278 0.0031242736 0.0054539656 0.002908061 0.0030161673 0.0030594098 0.004156689 0.0036107523 0.002945898 0.004778301 0.004724248 0.0025567154 0.0026107684 0.0026594163 0.003572915 0.004578304 0.002756712 0.0031404896 0.0033404864 0.0028702237 0.0026756322 0.0027296855 0.0030485992 0.0031242736 0.0027675226 0.003167516 0.0052323476 0.0026810376 0.0023945558 0.0026756322 0.0073296106 0.0025729313 0.0025134727 0.0026269844 0.002908061 0.0026810376 0.002210775 0.0032377853 0.0030702206 0.00280536 0.0027513066 0.0027188747 0.0029134662 0.0024053664 0.0025783365 0.0041242572 0.0029134662 0.0026918482 0.0024756356 0.0027675226 0.0027513066 0.002924277 0.0027350907 0.0038377757 0.0032918386 0.0029513035 0.0026864428 0.003162111 0.010118755 0.0041296626 0.0026215792 0.0030323833 0.0046701944 0.004135068 0.003097247 0.0031026525 0.0030269779 0.0029675195 0.002362124 0.0027459015 0.003556699 0.0034756192 0.0027513066 0.0030756257 0.0049080285 0.0034161608 0.0032864332 0.004048583 0.0034918352 0.0034756192 0.003929666 0.003724264 0.0026377952 0.0032540013 0.0026432003 0.003183732 0.0030377887 0.0034648087 0.003929666 0.0039080447 0.0025404994 0.0035999417 0.0025404994 0.0033458916 0.003216164 0.0054161283 0.003010762 0.0028972502 0.0037837224 0.003589131 0.0047188425 0.0027513066 0.0036972372 0.0026918482 0.003691832 0.0042431746 0.0030323833 0.0025134727 0.0043837125 0.0038431808 0.007270152 0.005632341 0.0030215727 0.0035621044 0.0034594033 0.0033296756 0.0025621206 0.002789144 0.0036594002 0.0036107523 0.003675616 0.0032431907 0.0038756127 0.0032702172 0.0026486057 0.0072431257 0.0034485927 0.004491819 0.0022648282 0.0028648183 0.003572915 0.005302617 0.003367513 0.011578191 0.002518878 0.00544856 0.0028215759 0.0030594098 0.004778301 0.0023783399 0.0021729378 0.0026486057 0.0029188716 0.0026540111 0.002329692 0.0028323864 0.0026161738 0.0025891473 0.0026107684 0.0026432003 0.002789144 0.0026756322 0.0028269812 0.0029026556 0.0026918482 0.0033026491 0.0023945558 0.0030702206 0.0025891473 0.0028269812 0.0026810376 0.0026486057 0.0026864428 0.0024648248 0.0025080675 0.0027783334 0.002416177 0.00255131 0.0030323833 0.0030053568 0.0035621044 0.0032810278 0.0027675226 0.0025999579 0.0027675226 0.0025459046 0.0026215792 0.0027783334 0.0034269714 0.0028594132 0.0029999514 0.0031945428 0.0029999514 0.0029837354 0.003318865 0.0037512905 0.0052647796 0.0038918287 0.0031188685 0.0045620883 0.0040269615 0.0025999579 0.0031404896 0.0038756127 0.0029891408 0.0033945395 0.0025945525 0.002567526 0.0033404864 0.0027999545 0.0025945525 0.003162111 0.002994546 0.003897234 0.0027837385 0.0032540013 0.0027621174 0.0026918482 0.0028107653 0.0029999514 0.0031513004 0.002670227 0.0027621174 0.0028323864 0.002956709 0.002567526 0.0030431938 0.0034539981 0.0031242736 0.0030918417 0.002962114 0.00280536 0.003502646 0.0027459015 0.0032485959 0.0028864397 0.005567477 0.0034053503 0.002924277 0.004535062 0.003502646 0.0027026588 0.0028702237 0.0032810278 0.004372902 0.0030485992 0.0036864267 0.0038215597 0.0028269812 0.0029188716 0.0032756226 0.0041296626 0.004199932 0.0037512905 0.0033080545 0.0032540013 0.0041620946 0.0036107523 0.004524251 0.012367367 0.044668186 0.0 2.7278281e-06 0.0 2.7278281e-06 0.0 1.09113125e-05 8.183485e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052783475 8.72905e-05 9.274616e-05 0.0 2.4550454e-05 5.4556563e-06 0.0 0.0 6.0012222e-05 0.0 1.636697e-05 0.0 0.0 0.0 5.4556563e-06 1.636697e-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 0.014880303 6.274005e-05 0.0001363914 4.0917424e-05 0.00013911923 7.365136e-05 0.00027551065 0.00030551676 0.00022368191 2.1822625e-05 2.4550454e-05 0.00015548621 0.00013366358 4.0917424e-05 5.4556564e-05 0.00019094798 0.0046591307 0.00016639753 0.000114568786 8.183485e-06 0.0001063853 3.8189595e-05 1.9094798e-05 3.5461766e-05 0.00011184096 2.7278282e-05 7.092353e-05 6.274005e-05 4.0917424e-05 3.5461766e-05 2.4550454e-05 6.546788e-05 0.0046291244 5.1828734e-05 3.0006111e-05 5.4556564e-05 5.1828734e-05 0.000120024444 2.1822625e-05 7.910702e-05 0.00015275838 2.7278281e-06 1.09113125e-05 3.0006111e-05 9.274616e-05 3.8189595e-05 7.910702e-05 0.00014184706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0149976 0.000174581 0.0004828256 0.0002809663 0.0006901405 0.00044736383 0.0022368191 0.0012493454 0.00018822015 0.000114568786 0.000114568786 0.00052647083 0.00017730883 0.00024550455 0.000117296615 0.00030278892 0.0036580176 3.0006111e-05 0.00018549232 2.7278282e-05 4.364525e-05 6.0012222e-05 0.0003873516 0.00040917424 0.00022640974 1.09113125e-05 1.3639141e-05 0.00012275227 0.00016094187 8.183485e-06 2.1822625e-05 0.00022095408 0.0067786532 0.00022913757 0.00063285616 0.00015548621 0.0011020426 0.0008074372 0.003477981 0.001857651 0.0004364525 0.00018276449 0.000117296615 0.00015003055 0.00030824458 8.183485e-05 0.0001636697 0.00027823847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073269466 0.00029460544 0.0013530027 0.00055374915 0.0009820182 0.00072014664 0.004888268 0.0024823237 0.00031370023 0.000349162 0.0003191559 0.0014157428 0.00026187152 0.00039280727 0.00022913757 0.0004637308 0.0023541157 0.00019094798 0.00012275227 0.00015821404 0.00022095408 0.00039280727 6.0012222e-05 0.000270055 0.00050737604 1.09113125e-05 3.273394e-05 9.274616e-05 0.00037098464 9.274616e-05 0.00024550455 0.0004637308 0.012700768 0.0019558528 0.0017485379 0.0014893942 0.0046482193 0.0030033388 0.0019640364 0.0027414674 0.007479705 0.00056738826 0.0005210152 0.001222067 0.0023241097 0.0013093576 0.00222318 0.004380892 0.033088557 0.007940708 0.007736121 0.005368366 0.013071753 0.01194516 0.0046127574 0.006702274 0.019880412 0.0038489655 0.0029133204 0.0033797792 0.009866554 0.0046482193 0.007719754 0.013701881 0.03850875 0.039193437 0.037810426 0.03923435 0.03784316 0.03883882 0.037911355 0.043519773 0.038486928 0.039365288 0.03959988 0.04137297 0.04038277 0.04081922 0.04243137 0.0471396 789.0 9.055767 7145.0 0.044226732 0.004758572 0.0041987402 0.0041987402 0.010356893 0.0053184046 0.0040587825 0.0055983206 0.0058782366 0.0039188243 0.0041987402 0.004478656 0.0040587825 0.0062981104 0.010356893 0.0043386985 0.006578027 0.0054583624 0.0061581526 0.0041987402 0.0048985304 0.0033589923 0.0057382784 0.004758572 0.0039188243 0.0061581526 0.0041987402 0.0036389083 0.0060181944 0.0039188243 0.0040587825 0.0064380686 0.004758572 0.011756473 0.006857943 0.011616515 0.012316305 0.009237229 0.010776767 0.009237229 0.0072778165 0.0053184046 0.0032190343 0.0058782366 0.010076977 0.0064380686 0.0057382784 0.0062981104 0.015255423 0.0067179846 0.009097271 0.015255423 0.010076977 0.0062981104 0.0060181944 0.013016095 0.0041987402 0.0037788663 0.0027991603 0.0032190343 0.004758572 0.0046186144 0.0055983206 0.0050384887 0.0043386985 0.03107068 0.0061581526 0.018194541 0.018614415 0.06857943 0.012036389 0.011756473 0.014975508 0.034289714 0.0064380686 0.0064380686 0.027151855 0.010216935 0.029251225 0.03442967 0.011896431 0.0032190343 0.038068578 0.024912527 0.052204337 0.013296011 0.009797061 0.01609517 0.011056683 0.008257523 0.004758572 0.004478656 0.0034989503 0.0058782366 0.0061581526 0.0041987402 6.0612984 2.0 1.0 0.0 3.0 185003.0 77824.0 0.0 0.0 118.0 0.0 1.0 0.0 0.0 0.0 935510460.0 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 40960.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 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 5.4301353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5904272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.660533 0.0 3.4629164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4106.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38320.0 0.0 2584.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 46556.0 2584.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 488.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.17722857 0.02141016 0.009380435 0.0071593816 0.0071560536 0.0059136567 0.00465878 0.0038339228 0.0064542117 0.00302832 0.0026166043 0.0018957456 0.0026155347 0.0025916446 0.0015637821 0.019312121 0.005398656 0.0017279217 0.001211019 0.0013865685 0.0019609972 0.0020547744 0.0013284482 0.0010737408 0.0028879517 0.0011634767 0.00094775396 0.0010286946 0.0013373623 0.0009860254 0.0013874006 0.0057524885 0.010406752 0.0019306892 0.0014587139 0.0013661254 0.016436175 0.0022198646 0.001255352 0.0013535267 0.0046064835 0.0031225723 0.0012264702 0.0013441371 0.0018106451 0.0018033949 0.0027586368 0.0013606581 0.0054797153 0.0058224946 0.001707122 0.0018247889 0.0014835547 0.0011890307 0.0013559038 0.0011815428 0.0036316307 0.0028434996 0.0015965863 0.0013259522 0.0018316825 0.001623091 0.0012774592 0.0012528561 0.004826485 0.013133774 0.0026520235 0.0037583306 0.012290018 0.005852446 0.0023036578 0.002147125 0.04178663 0.0072558923 0.001487358 0.0019268858 0.012981519 0.004035145 0.0021861098 0.001899549 0.004056539 0.0014533653 0.0019188037 0.0034907868 0.0037028252 0.0026016287 0.0026709214 0.002352864 0.002361065 0.0011355457 0.0011786902 0.0028593075 0.0025221142 0.0024389154 0.002886644 0.003729211 0.003331877 0.004139619 0.0019208242 0.003961098 0.003349824 0.006250731 0.0062874574 0.0019076312 0.0029135055 0.0041648163 0.0010771876 0.0016101358 0.0035976379 0.002238406 0.0042356546 0.0042867623 0.00427975 0.0010656586 0.00442618 0.0041131144 0.009045024 0.004358551 0.0017046259 0.0015602165 0.0022249755 0.0017291101 0.0011445787 0.0012735369 0.002254808 0.0017027243 0.0019355622 0.0016246362 0.0044627874 0.0021058822 0.0011626447 0.010632221 0.008265689 0.010416973 0.0012816192 0.001244774 0.0026347893 0.027438154 0.00086526823 0.015223016 0.0016325995 0.009658676 0.0011507592 0.00095845095 0.0047456636 0.0008362675 0.00083828805 0.0010522279 0.0016718218 0.0008659814 0.0009826975 0.00087976863 0.0014905671 0.0008140415 0.0007452241 0.0007660239 0.001008608 0.0008420914 0.000830087 0.00076364673 0.0015097029 0.0007731552 0.0008783423 0.00076685584 0.0011662104 0.0011164099 0.000980677 0.0008262836 0.0014043968 0.00094347517 0.00094086037 0.00097140623 0.0011077335 0.00081950886 0.00085266953 0.00086550595 0.0013561415 0.0006876981 0.0007018419 0.0007578228 0.000966652 0.00088915817 0.0036234295 0.0010512772 0.0034787825 0.0021063576 0.0026549948 0.0010855076 0.0014217498 0.00094359403 0.0011262749 0.0010327357 0.009449965 0.0049322667 0.0024291691 0.004342862 0.003978926 0.002258374 0.002369385 0.0061101248 0.0018413098 0.0024732647 0.0012232611 0.0013143044 0.0009431186 0.0010759991 0.001241446 0.0010524656 0.0029668717 0.0015262238 0.002260038 0.0012535693 0.001016809 0.0011656161 0.0012435854 0.0011027416 0.001901213 0.0025810667 0.0014782061 0.0015206377 0.0010001692 0.000807029 0.0009881648 0.0009029454 0.0031415892 0.0015465481 0.0015184982 0.00092422054 0.001047236 0.0009287371 0.0009823409 0.00087370694 0.0119905025 0.006218759 0.0015831556 0.00280606 0.0022595625 0.0013846669 0.0010137188 0.0016461491 0.002452465 0.002417759 0.001665047 0.0013421166 0.0009886402 0.0009907797 0.002089599 0.0014480168 0.0030303404 0.0029863638 0.0024522273 0.0016813303 0.001832158 0.002657134 0.0039237775 0.039413445 0.0019339266 1.3076309e-06 1.4265064e-06 6.5381545e-07 5.349399e-07 2.020884e-06 0.0 5.9437767e-08 1.783133e-07 5.9437767e-08 5.349399e-07 8.321287e-07 1.3076309e-06 1.7236953e-06 3.1502016e-06 0.00012166911 0.0025370417 6.4192786e-06 2.7341372e-05 1.6583137e-05 1.1590364e-05 3.031326e-06 2.0803218e-06 2.3775106e-06 7.0136566e-06 9.153416e-06 2.0803218e-06 2.0803218e-06 4.9927726e-06 1.09959865e-05 2.8232938e-05 0.0001287422 0.0014476068 2.2467475e-05 1.3492373e-05 1.0342172e-05 1.2838557e-05 4.576708e-06 1.07582355e-05 3.031326e-06 1.7890769e-05 7.964661e-06 2.4369483e-06 4.6361456e-06 3.4473906e-06 2.6152618e-06 6.7164674e-06 0.00013337834 0.0036485873 0.00017231009 2.9362256e-05 2.3477918e-05 5.0997605e-05 1.9792777e-05 4.071487e-05 3.66731e-05 4.1665873e-05 4.523214e-05 2.3596793e-05 2.6390368e-05 2.4250608e-05 1.5572694e-05 5.349399e-06 0.00017825386 0.0068499055 0.00012256067 0.00014211569 0.00010805786 0.00016910044 0.000113288384 0.0003622732 0.0001912113 8.2083556e-05 6.793737e-05 6.353897e-05 4.624258e-05 4.8798407e-05 6.1399216e-05 4.8322905e-05 0.0004093479 0.01092698 0.00027127395 0.00037422017 0.0002689559 0.00023382818 0.00021415428 0.0013928051 0.0007307279 0.00017456872 0.00019691732 0.00026075347 9.2663475e-05 9.771569e-05 0.00016458318 0.0001260675 0.0010288678 0.017861346 0.0012859361 0.0010444999 0.0008431841 0.00053612865 0.0005431423 0.004835797 0.0024752857 0.00026372538 0.00021599684 0.00064252224 0.00017450929 0.00026039686 0.00024648843 0.00023792937 0.0021301901 0.020274876 0.0011151714 0.002028195 0.0018941032 0.0015661852 0.0011054236 0.0031354015 0.0017943667 0.000392527 0.00054397446 0.00035448684 0.00018990366 0.0003876531 0.0003277993 0.00029112617 0.0014825562 0.014979387 0.0014218108 0.0018588566 0.0015016358 0.0012793979 0.0012218027 0.005107844 0.0028451076 0.00054510374 0.00038848523 0.00042284027 0.00037445792 0.00041023947 0.00041255754 0.0005385656 0.0015062719 0.010314295 0.00094048376 0.0030397067 0.0018280084 0.0026186497 0.0024551363 0.0073615457 0.0039948123 0.000651854 0.00035745872 0.00033041454 0.00044132542 0.0003571021 0.0006320018 0.00039478563 0.0015313546 0.01409846 0.000554911 0.004606843 0.0033042643 0.0042414195 0.0038683882 0.0073507875 0.004154938 0.00083688373 0.00073726603 0.00048055433 0.00060519535 0.00038390854 0.000494225 0.00041844186 0.0014593755 0.008910375 0.0013618976 0.0025068473 0.0014345305 0.0023168246 0.0016274655 0.004370162 0.0027144633 0.0018847715 0.0014379184 0.002960298 0.0020326527 0.0014001755 0.0012660244 0.0012866494 0.0031462787 0.031756766 0.0037303143 0.0056025446 0.003296359 0.014908715 0.003328515 0.0036551848 0.004377651 0.013885672 0.0022173258 0.0018616503 0.0036499545 0.0067237783 0.0031849132 0.0053718663 0.008943006 0.12019951 0.015930807 0.027866207 0.016139256 0.08365022 0.021019809 0.011589294 0.015585593 0.07188903 0.008219054 0.0048274165 0.012189794 0.030909304 0.012476224 0.025750758 0.04299936 0.008517313 0.0025211123 0.0032590916 0.0025460168 0.006646569 0.0034564845 0.0035520603 0.003199 0.006090469 0.002298934 0.0013774702 0.0017118077 0.0037998564 0.002262023 0.0033315462 0.004103405 0.0025579042 0.002178929 0.0020667105 0.0022163154 0.0022972696 0.002359085 0.0024642304 0.0023145662 0.002385832 0.0023923106 0.00231522 0.0023452954 0.0022308182 0.0021594928 0.0020319396 0.0020809162 48287.0 16.773811 809957.0 0.052741073 0.0028643496 0.0037397046 0.0030618908 0.010468457 0.008965908 0.0017667605 0.0029248467 0.008102899 0.0060274806 0.0017013248 0.0021593738 0.0030149748 0.007675716 0.007862146 0.0032038738 0.007894246 0.0070867958 0.004692842 0.005318801 0.0030285558 0.0032791863 0.0030507792 0.0039928043 0.005166941 0.004294055 0.0066571436 0.0029865783 0.0033903033 0.004303932 0.0035495711 0.0017729336 0.0033606722 0.04002558 0.0033001753 0.010714149 0.008623915 0.010801808 0.0040261396 0.0069472822 0.015555147 0.0063670045 0.001795157 0.0027569365 0.0073485384 0.0041175024 0.0074868174 0.0050866897 0.006788015 0.0023050606 0.0063978704 0.015573666 0.013377253 0.016509518 0.012100643 0.01160185 0.0040607094 0.0027421208 0.002068011 0.011304304 0.009678291 0.01615024 0.014509412 0.02654462 0.0028013834 0.032515306 0.008299206 0.0224123 0.021849308 0.054925136 0.011910508 0.011032685 0.012937724 0.033444986 0.0026853278 0.006405278 0.021778934 0.014131614 0.03193997 0.03120783 0.016604586 0.0028939808 0.032423943 0.03137821 0.038824283 0.013578499 0.0073670577 0.0053237393 0.0049051987 0.008022648 0.0028112603 0.0016803361 0.0024001275 0.0017099673 0.0017729336 0.0012543875 5.966867 0.0 85.0 0.0 37.0 8413576.0 8458240.0 1.0 269.0 383.0 1.0 1.0 0.0 0.0 395.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 30.0 4.0 0.0 5.0 2.0 5301760.0 1024.0 4096.0 11.0 1.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2523136.0 0.0 0.0 -188928.0 0.0 200192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -124416.0 0.0 0.0 0.0 0.0 0.0 10240.0 0.0 0.0 -5302272.0 -13312.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.469527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.6740108 0.0 0.0 -4.336395 0.0 6.371788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2532995 0.0 0.0 0.0 0.0 0.0 5.286507 0.0 0.0 -9.809762 -4.310701 5.21481 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2523064.0 0.0 0.0 -188620.0 0.0 199704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29792.0 0.0 0.0 -123680.0 0.0 0.0 0.0 0.0 0.0 10056.0 0.0 0.0 -5301517.0 -13196.0 1256.0 0.0 0.0 0.0 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 2.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 -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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 2.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -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 -1.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 -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 -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 1.0 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 1.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 -1.0 2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 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 2.0 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 -3.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 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 1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 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 1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 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 -2.0 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 1.0 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 -1.0 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 -2.0 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 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 3.0 2.0 -2.0 -1.0 -1.0 3.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 -1.0 2.0 1.0 -1.0 -1.0 -2.0 2.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 3.0 0.0 2.0 0.0 -1.0 1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 3.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 2.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 -4.0 0.0 2.0 3.0 1.0 0.0 -1.0 -1.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 2.0 -1.0 -1.0 0.0 -4.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 10056.0 8388608.0 13196.0 8400896.0 1256.0 8417280.0 199704.0 7962624.0 0.0 0.0 34536.0 8421376.0 28.0 7958528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3088.0 8404064.0 0.0 0.0 0.0 0.0


Input: 0.30036274 0.0115094865 0.0023716518 0.001813616 0.0016043527 0.000906808 0.0016741072 0.0011160715 0.0013950893 0.0010463169 0.002580915 0.000906808 0.0007672991 0.0016043527 0.0009765625 0.0004185268 0.0013950893 0.0007672991 0.0004185268 0.0009765625 0.0007672991 0.0007672991 0.0011858259 0.000906808 0.00069754466 0.00048828125 0.00055803574 0.00027901787 0.00048828125 0.0002092634 0.00069754466 0.00062779017 0.043526787 0.00055803574 0.00048828125 0.00069754466 0.0011858259 0.00062779017 0.0004185268 0.00013950893 0.00055803574 0.00048828125 0.00034877233 0.0004185268 0.0010463169 0.00048828125 0.008858817 0.00013950893 0.0021623883 0.0010463169 0.00062779017 0.0004185268 0.000906808 0.00069754466 0.00062779017 0.00069754466 0.00055803574 0.00055803574 0.00034877233 0.0002092634 0.0009765625 0.00048828125 0.00034877233 0.0002092634 0.0008370536 0.001813616 0.0016043527 0.0031389508 0.0010463169 0.000906808 0.0007672991 0.0002092634 0.0009765625 0.002232143 0.00013950893 0.00055803574 0.0015345982 0.000906808 0.0011160715 0.0009765625 0.0013950893 0.0004185268 0.0013950893 0.0024414062 0.0035574776 0.0014648438 0.0014648438 0.00055803574 0.00034877233 0.00013950893 0.00013950893 0.0002092634 0.0002092634 0.00013950893 0.0 0.0007672991 0.0007672991 0.0053710938 0.0020228794 0.006766183 0.0033482143 0.015276228 0.0039760047 0.004952567 0.0026506695 0.00906808 0.0002092634 0.0007672991 0.0074637276 0.005301339 0.010951451 0.014927455 0.0024414062 0.00013950893 0.011439732 0.013183594 0.011090959 0.00390625 0.0015345982 0.00034877233 0.0008370536 0.0027204242 0.00013950893 0.00013950893 0.00027901787 0.00013950893 0.0002092634 0.00013950893 0.0029296875 0.0016741072 0.0014648438 0.0009765625 0.0057896203 0.01171875 0.0119280135 0.00920759 0.008091518 6.975447e-05 0.0041155135 0.0013253348 0.020089285 6.975447e-05 0.00048828125 0.0 0.0004185268 0.0002092634 0.0002092634 0.0002092634 6.975447e-05 0.0002092634 0.00027901787 0.00013950893 0.0 0.0002092634 6.975447e-05 0.0002092634 0.0002092634 0.00013950893 0.0004185268 0.0004185268 0.00027901787 0.0002092634 0.0013253348 0.00034877233 0.00013950893 0.00027901787 0.0002092634 0.029506138 0.009765625 0.0039760047 0.009486607 0.00034877233 0.0034179688 0.0018833706 0.0031389508 0.016810825 0.0004185268 0.015764508 0.004045759 0.0062779016 0.0055803573 0.0018833706 0.00048828125 0.0025111607 0.0007672991 0.0026506695 0.0008370536 0.00013950893 0.00013950893 0.0002092634 0.0009765625 0.00034877233 0.00013950893 6.975447e-05 0.0002092634 0.0002092634 0.00013950893 0.00013950893 0.00013950893 0.0002092634 6.975447e-05 0.00027901787 6.975447e-05 0.00013950893 6.975447e-05 0.00034877233 0.00027901787 0.00013950893 6.975447e-05 0.00013950893 0.00013950893 0.0 0.00034877233 6.975447e-05 6.975447e-05 6.975447e-05 0.11328125 0.054408483 0.006626674 0.016462054 0.0002092634 0.0 0.00027901787 0.00013950893 0.00034877233 0.00034877233 0.0024414062 6.975447e-05 0.00034877233 0.0 0.00013950893 0.00027901787 0.00013950893 6.975447e-05 0.0002092634 0.00027901787 6.975447e-05 6.975447e-05 0.00027901787 0.00027901787 0.00027901787 0.00013950893 0.00013950893 0.0002092634 0.0004185268 0.0002092634 6.975447e-05 6.975447e-05 0.0002092634 0.00013950893 0.0002092634 6.975447e-05 0.0002092634 6.975447e-05 0.0002092634 0.0004185268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.060997598 0.00018780048 0.0014648438 0.0013146034 0.0018404447 0.0010892428 0.0070988582 0.0025540865 0.00011268029 0.0 0.0 0.00011268029 0.0 7.5120195e-05 3.7560098e-05 3.7560098e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.121995196 0.0034555288 0.0048828125 0.0030423678 0.009465144 0.0061974158 0.049128607 0.026780348 0.0008638822 0.00075120194 0.0006385216 0.00056340144 0.000788762 0.00060096156 0.0008263221 0.000788762 0.0045447717 0.00037560097 0.03192608 0.00037560097 0.0 0.001539964 0.004732572 7.5120195e-05 0.05187049 0.00041316106 0.05434946 0.026367188 7.5120195e-05 0.12890625 0.0020282452 0.00011268029 0.040452223 0.001953125 0.0025916467 0.0022536058 0.0028170072 0.0018780048 0.011305589 0.0045823315 0.0012770433 0.0010892428 0.0012770433 0.0012770433 0.0010892428 0.0008263221 0.001164363 0.0010892428 0.044508714 0.0040189303 0.016263522 0.0013521635 0.0025916467 0.0025165265 0.0154372 0.010704627 0.026254507 0.00041316106 0.025841346 0.014535757 0.00022536058 0.065129206 0.0008263221 0.00015024039 0.02775691 0.0012394831 0.0049579325 0.0015024039 0.0022536058 0.0013146034 0.0089393025 0.0052584135 0.0048076925 0.00030048078 0.0044320915 0.0025165265 3.7560098e-05 0.011117788 0.00018780048 0.00030048078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49.0 18.12245 888.0 0.061936937 0.0011261262 0.0 0.0045045046 0.0 0.0 0.0 0.0 0.0033783785 0.0033783785 0.0 0.0 0.0045045046 0.0022522523 0.045045044 0.0 0.013513514 0.006756757 0.0022522523 0.0033783785 0.0033783785 0.0045045046 0.0011261262 0.0033783785 0.0011261262 0.0033783785 0.0 0.0 0.0011261262 0.0033783785 0.0011261262 0.0 0.0022522523 0.02027027 0.007882883 0.011261261 0.006756757 0.0 0.0011261262 0.0011261262 0.0 0.010135135 0.0 0.0011261262 0.0 0.0022522523 0.0 0.0011261262 0.0056306305 0.0 0.012387387 0.007882883 0.03490991 0.006756757 0.009009009 0.0 0.0 0.0 0.0011261262 0.0011261262 0.0 0.0011261262 0.0 0.0011261262 0.0011261262 0.02027027 0.022522522 0.037162162 0.007882883 0.08896396 0.014639639 0.009009009 0.018018018 0.038288288 0.0 0.0022522523 0.054054055 0.0259009 0.027027028 0.0945946 0.0056306305 0.0011261262 0.054054055 0.048423424 0.052927926 0.0259009 0.007882883 0.0 0.0033783785 0.018018018 0.0 0.0 0.0 0.0 0.0 0.0 5.0293536 0.0 0.0 0.0 1.0 14336.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1538047200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 11776.0 512.0 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 -11776.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -5.370648 0.0 3.2899022 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 -11444.0 0.0 1072.0 0.0 0.0 0.0 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 75.0 19552.0 1072.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.085551485 0.008275056 0.0050530485 0.005124196 0.0072426233 0.0036442946 0.0036832655 0.0036237098 0.0075881667 0.0030795138 0.00351559 0.0032136142 0.005876637 0.0035819407 0.0028470864 0.0069512394 0.005909213 0.0027643477 0.0025411134 0.0024671683 0.004190489 0.003058929 0.0025746885 0.0024184047 0.0036614817 0.0025035413 0.0024735637 0.003110291 0.0031444656 0.0024126088 0.0026130602 0.0038071736 0.0067557846 0.0023888266 0.004063983 0.0025117353 0.0058352677 0.0027833336 0.0023976201 0.0024122093 0.003034747 0.002354652 0.0024411876 0.003029551 0.002996975 0.002884059 0.0028792624 0.002471565 0.0038655302 0.0031744433 0.0031866343 0.0058320705 0.0032981515 0.0029971749 0.0029919788 0.003027952 0.0034242577 0.003256982 0.0031886327 0.0039742496 0.0033946799 0.003463229 0.0029368198 0.0029628004 0.003926485 0.0036069222 0.0029845843 0.003332526 0.004163309 0.006939248 0.0045210435 0.0033609048 0.0036191132 0.0030433405 0.0026744145 0.002688604 0.003499602 0.00447208 0.003519787 0.0036510895 0.0059098126 0.003425257 0.0032669746 0.0043617617 0.004888171 0.004451495 0.0044768765 0.004306403 0.003929483 0.0033838877 0.002634644 0.0042094747 0.0042558406 0.005537489 0.0048210206 0.0055782585 0.0027967237 0.0042498447 0.0029340219 0.003658484 0.0043068025 0.0060083396 0.0038461445 0.0030917048 0.0053414344 0.004451695 0.004910754 0.002583282 0.0037510153 0.0029729928 0.004282021 0.00467433 0.003755212 0.0024202033 0.0047166985 0.004585396 0.008947358 0.00728759 0.0030173599 0.0028438887 0.0030461384 0.0029588034 0.0024238005 0.002452579 0.0028910537 0.0032831626 0.0030121638 0.0028215053 0.0036402973 0.0029935776 0.002354652 0.009353655 0.0041193417 0.008083199 0.002948611 0.0026142593 0.003444243 0.0071091224 0.002738367 0.019310664 0.002701994 0.0067839636 0.0024835563 0.0025343185 0.0028614756 0.0023110842 0.0022721132 0.00231668 0.0025622977 0.0025211284 0.002299293 0.0024927494 0.0026028675 0.00234386 0.002242935 0.002241336 0.0025313208 0.0023052886 0.0022479312 0.0023340671 0.0026652212 0.0030029705 0.0022823056 0.0024136081 0.0025856805 0.0023996185 0.0022863026 0.00227651 0.0026995959 0.002277509 0.0022465321 0.002299293 0.002493349 0.0022209513 0.0022395374 0.002242935 0.0028183076 0.002299293 0.002255126 0.00226312 0.0025271238 0.0024389892 0.0031618527 0.002597072 0.0033375223 0.0026316463 0.002726176 0.0022944966 0.0026122606 0.0023872277 0.0025237263 0.0023360658 0.006839922 0.0045504216 0.0033501128 0.0047444776 0.0057293465 0.0024202033 0.003386286 0.004944729 0.003561356 0.003133274 0.0025227272 0.0025565021 0.011308204 0.0024126088 0.0028700694 0.0026690185 0.0035959303 0.002565895 0.0026943996 0.0024481826 0.0027589519 0.0022489303 0.0024937487 0.0024188042 0.0030837106 0.0024186044 0.0023214766 0.0026638224 0.0026782118 0.0023752367 0.0023240745 0.002361047 0.003235198 0.002408412 0.00234386 0.0028554802 0.003002571 0.0033009495 0.0023280717 0.0023186787 0.008925574 0.0032559827 0.002365244 0.0036792685 0.004305803 0.0036962559 0.0023106846 0.0023580494 0.0037094462 0.0025642964 0.0024549775 0.0025938742 0.0031244804 0.0023764358 0.003250187 0.0029226302 0.004225063 0.002883859 0.002962201 0.0029801875 0.004454693 0.0032316009 0.0037318296 0.021370934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055435166 1.5992836e-06 3.698343e-06 1.3993731e-06 3.0986118e-06 8.995969e-06 9.995522e-07 7.996418e-07 1.7991939e-06 6.9968655e-07 5.997313e-07 6.9968655e-07 8.096373e-06 1.1994626e-06 5.997313e-07 2.5488582e-05 0.00018301801 7.096821e-06 2.9986566e-06 9.995522e-08 2.7987462e-06 2.5988356e-06 1.6992387e-06 1.8991492e-06 4.997761e-07 3.998209e-07 4.997761e-07 3.998209e-07 9.995522e-08 9.995522e-08 9.995522e-08 3.998209e-07 0.00049717724 2.4788895e-05 1.9291358e-05 1.0295387e-05 8.296283e-06 1.0295387e-05 1.9991044e-06 9.995522e-07 2.0990596e-05 1.8991492e-06 2.0990597e-06 6.9968655e-07 7.9964175e-06 5.997313e-07 5.997313e-07 6.0972684e-06 0.0014537487 3.1885716e-05 2.7587641e-05 2.2889746e-05 5.8273894e-05 4.3480522e-05 3.3684908e-05 2.1390417e-05 4.5079803e-05 8.995969e-06 1.4693417e-05 5.6974477e-06 2.4988805e-05 7.9964175e-06 5.897358e-06 3.6083835e-05 0.0028082419 0.00085191836 0.00010065491 5.3076223e-05 0.00023509467 0.000879406 0.0002977666 0.00014903324 3.8782626e-05 6.0372953e-05 5.5775014e-05 3.1285985e-05 3.8382805e-05 3.1186028e-05 0.0007787511 0.00014093686 0.014786076 0.0006274189 0.0016153763 0.00020150973 0.000587037 0.0010627239 0.0047429753 0.0025234695 0.00013493955 0.0001734223 8.846037e-05 0.000114448725 0.00012534385 9.2558534e-05 0.00046759052 0.0009063939 0.0072978307 0.00045769496 0.00063521543 0.00031265992 0.0011079037 0.0014495506 0.0022539902 0.0010908113 0.000110750385 9.635683e-05 0.00021590327 0.00021000592 0.00014003726 0.00013543932 0.00037952996 0.0006876919 0.004587345 0.0006252199 0.001321508 0.0004845829 0.0019307351 0.0021430398 0.0054917396 0.0028582194 0.00013743843 5.917349e-05 6.627031e-05 6.856928e-05 3.7583162e-05 2.8287328e-05 0.0005473548 0.0011073039 0.009880474 0.00033804856 0.0025210707 0.0011805712 0.0019625209 0.0021057567 0.005368795 0.002997457 0.00039072495 0.00024738917 0.00018491715 0.00015183198 0.00016762491 0.00015313139 0.0002374936 0.00036193785 0.0053538014 0.0010508292 0.0011400892 0.009074335 0.0017028372 0.001459646 0.0016122777 0.0012079588 0.0009298834 0.00071428 0.0006854929 0.0006738981 0.0007743531 0.0006885915 0.0007227762 0.0008681111 0.011210478 0.0011858688 0.0015943857 0.0012933206 0.0018967503 0.0026177273 0.0014765385 0.0017198295 0.004819041 0.00055285235 0.00045279716 0.0007354705 0.002832731 0.00061612396 0.0013708859 0.0030868172 0.052776158 0.0082596 0.0060857735 0.006460006 0.012680319 0.018193848 0.0065561626 0.010600751 0.033385545 0.0024030234 0.0024794892 0.004421419 0.023126239 0.0042953757 0.011221173 0.021620113 0.013717654 0.0028287328 0.0025765458 0.0026203261 0.004471597 0.0060504894 0.0026825983 0.0039451327 0.009827698 0.0009403787 0.0010739189 0.0014887331 0.0064325184 0.0020082004 0.0036467663 0.00651778 0.0337082 0.033361156 0.03359585 0.0332633 0.033358157 0.03341743 0.033337265 0.033349458 0.033380244 0.033226613 0.033308778 0.03330098 0.033292085 0.03339214 0.033313975 0.0334783 25535.0 10.241747 261523.0 0.034604985 0.0036363914 0.0042443685 0.003689924 0.0069936486 0.0072957254 0.0033113721 0.004110537 0.0071848365 0.0041678934 0.0037358091 0.0036822765 0.0058962307 0.011329788 0.008179013 0.0039805295 0.011096538 0.011192132 0.011272431 0.009360554 0.010125305 0.00938732 0.008997297 0.009027886 0.010163542 0.009658806 0.010056477 0.008098714 0.009299373 0.008312845 0.007834875 0.008228722 0.007368377 0.011761872 0.0058847596 0.012603098 0.010890055 0.013914647 0.0061485986 0.0067183385 0.007475442 0.009922645 0.0034796174 0.0056094495 0.009651159 0.006595978 0.009494385 0.008087243 0.011513327 0.004676453 0.010626216 0.017073069 0.012453971 0.005930645 0.0065118554 0.0065309745 0.0065883305 0.0049135257 0.0036631578 0.004037886 0.008339611 0.0037013954 0.003988177 0.01990647 0.0045464453 0.025615338 0.010075595 0.021386264 0.021451268 0.04670335 0.009677925 0.0115439175 0.010748576 0.0289573 0.004982353 0.007062476 0.018996418 0.011865113 0.026647752 0.02582182 0.016403912 0.0044317325 0.027676342 0.025967123 0.037201315 0.014805581 0.007876936 0.005785342 0.0071351277 0.009134952 0.004064652 0.0036363914 0.0050282385 0.003315196 0.003299901 0.003938468 6.254581 2.0 3.0 0.0 46.0 5003712.0 2416640.0 1.0 0.0 413.0 1.0 1.0 0.0 1.0 0.0 1423808500.0 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 12.0 0.0 5.0 1.0 5.0 1.0 1567232.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -87552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 428032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1567232.0 0.0 233472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.642745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7144265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2581635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5908084 0.0 5.288749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -87512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 427982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1566975.0 0.0 233416.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 1.0 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 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 -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 -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 3.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 1.0 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 1.0 0.0 0.0 -3.0 0.0 -1.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 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 1.0 -2.0 -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 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -4.0 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 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 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 1.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 1.0 1.0 2.0 -1.0 -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 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 480.0 1991028.0 233416.0 2093056.0 0.0 0.0 6448.0 40709720.0 87512.0 2326528.0 56.0 1574816.0 0.0 0.0 0.0 0.0 24.0 1943000.0 64.0 1942920.0 0.0 0.0 1748.0 1572864.0 0.0 0.0 0.0 0.0