Input: 0.10107806 0.0045393496 0.0044855233 0.0022043143 0.0025259904 0.0013635991 0.0039049685 0.001239286 0.0014533096 0.0009893783 0.008466105 0.0012597912 0.00096887304 0.00095733884 0.0010688361 0.00058183644 0.0008714731 0.002396551 0.005822209 0.001378978 0.0010483309 0.0010547388 0.00089069677 0.000680518 0.0006023417 0.0059119198 0.000328084 0.00040497867 0.00042163918 0.00031911294 0.00049468916 0.0005690207 0.003387211 0.00037806554 0.00064591534 0.0005690207 0.00048187337 0.0008355889 0.00071127585 0.0007920152 0.0021069143 0.0006779548 0.0011188177 0.00069333374 0.0011931492 0.00079073367 0.0012444123 0.0009419599 0.005099399 0.001771141 0.0015968463 0.0012264702 0.0007740732 0.0005959338 0.0006036233 0.0005433891 0.00057030225 0.001649391 0.0017570435 0.0009240178 0.0006779548 0.00062028377 0.00036396817 0.00027682088 0.00033705504 0.00090735726 0.00037934713 0.00077022845 0.0008240547 0.0006830811 0.00047162073 0.00035243397 0.00043189182 0.0005562049 0.00026784983 0.0003216761 0.0006536048 0.0005280102 0.0006125943 0.0005920891 0.0006715469 0.0003216761 0.0006087496 0.0010278256 0.00073434424 0.00050622335 0.0004895628 0.0002870735 0.00022299458 0.00024349983 0.00021017881 0.00020889723 0.0002857919 0.00025631563 0.00028963663 0.0012251886 0.0002921998 0.00298864 0.0008086758 0.0016596436 0.0013802596 0.005291636 0.0017134699 0.0009406783 0.00059465226 0.0162581 0.00024990772 0.00032295767 0.0018095883 0.0014263964 0.0024952325 0.004590613 0.0045355046 0.0002345288 0.0030322138 0.002946348 0.0041984497 0.0017211593 0.0004985339 0.0005485154 0.00062028377 0.0013238702 0.0003960076 0.00063438114 0.00028835508 0.00046136812 0.0008740362 0.0009304257 0.0057606935 0.0006510417 0.0005728654 0.00033064713 0.0006382259 0.00024862614 0.0002921998 0.00066898373 0.00086634676 0.03484611 0.0006946153 0.0007779179 0.0003626866 0.00045111548 0.00033705504 0.00039985238 0.0018839198 0.00037806554 0.00031270506 0.000303734 0.00046008654 0.0008484047 0.00032039452 0.00041394972 0.00030886033 0.03506013 0.0014071728 0.00062028377 0.00019608144 0.00024221826 0.00015378937 0.00016147883 0.00021658669 0.00025375246 0.00044727075 0.00022043144 0.00020248933 0.00021914985 0.00016276042 0.0001935183 0.00018198408 0.00017557619 0.00017813935 0.00017429462 0.00018326567 0.00017557619 0.00023709194 0.00018839198 0.00020377092 0.00022299458 0.00019608144 0.0014225517 0.00019608144 0.00017429462 0.001230315 0.00016019726 0.00019736303 0.00034218136 0.0002640051 0.0009201731 0.00023581037 0.0018762304 0.0007510047 0.0007510047 0.03479869 0.0010970308 0.00025887878 0.0002755393 0.00029732613 0.00030886033 0.00038191027 0.00038447342 0.00036396817 0.00037550236 0.00031783138 0.00023068406 0.00016147883 0.00021530512 0.00058696273 0.00021146038 0.00063438114 0.00020761565 0.00020377092 0.00024990772 0.00014097359 0.00058696273 0.001871104 0.00018967356 0.00013841044 0.00022043144 0.00020505249 0.0011111283 0.0006330996 0.0014994463 0.0014699701 0.003720421 0.00083174417 0.0005843996 0.00059977855 0.00050622335 0.0005382628 0.0012239071 0.00045880495 0.00048187337 0.0007356258 0.0027758982 0.007334471 0.0011649545 0.00065873115 0.0007971416 0.00069333374 0.0007151206 0.007231945 0.0005677391 0.0006510417 0.0005485154 0.00049981545 0.00052416546 0.00058824435 0.00054595224 0.0006369443 0.0007663837 0.0009983493 0.0019966986 0.0048277047 0.0069602504 0.009199168 0.50823796 0.025017196 1.2832622e-05 6.416311e-06 1.41158835e-05 5.1330485e-06 4.4914177e-06 8.341204e-06 3.2081555e-06 8.982835e-06 8.341204e-06 1.2832622e-05 1.6682408e-05 8.341204e-06 1.0266097e-05 4.0422758e-05 0.037897296 0.0006897534 0.00079305604 0.0003817705 0.0011831677 0.00017324039 0.00014821677 0.00011292707 0.00011677686 0.00010586913 0.00014821677 0.00011934338 9.8811186e-05 0.00013795069 0.0014032471 0.0007725238 0.13290554 0.0031183271 4.74807e-05 0.00011870175 0.00029579192 4.0422758e-05 1.9248931e-05 4.5555807e-05 3.6572972e-05 2.2457089e-05 8.341204e-06 1.6040776e-05 2.0532194e-05 2.7590137e-05 7.5070835e-05 0.00038048724 0.018066406 0.0034757156 6.9296155e-05 0.00015784125 0.00051330484 5.6463534e-05 5.0047223e-05 8.5336935e-05 6.2238214e-05 4.6839068e-05 0.00010073608 5.261375e-05 8.918672e-05 5.838843e-05 0.00023034555 0.000697453 0.025791645 0.0018247988 3.4006447e-05 7.8920624e-05 0.00012255153 2.8231767e-05 4.8122332e-05 0.00020147215 5.1972118e-05 2.2457089e-05 6.1596584e-05 2.5665244e-05 5.5180273e-05 4.3630913e-05 0.00023355371 0.00019954727 0.007480777 0.004184076 8.0845515e-05 0.00015719961 0.00024317818 8.4053674e-05 0.000115493596 0.0008219294 0.00021687131 1.6682408e-05 8.5978565e-05 1.5399146e-05 0.00010586913 3.9781127e-05 0.00031247432 0.0002001889 0.0077746436 0.003374338 0.0016804318 0.00023162882 0.00047031557 5.5180273e-05 5.1972118e-05 0.0046024197 0.00095923844 0.0017009639 0.0020179297 4.8763963e-05 0.0006018499 0.0017413867 0.00071862683 0.00045748297 0.028593648 0.0106363185 0.0034462006 0.0010541999 0.00077444874 0.001960183 0.00174267 0.019675616 0.0080518285 0.0018889619 0.0022816402 6.1596584e-05 0.0006749959 0.0016034361 0.0004979057 0.00035674687 0.03202124 0.031890348 0.002518402 0.0056887013 0.004511308 0.0025530502 0.0020737515 0.008841677 0.004945051 0.010924411 0.011049529 0.00063072337 0.0016791485 0.010599104 0.0021886036 0.004447145 0.08074157 0.0231308 0.0047127805 0.004216158 0.006350223 0.0014199296 0.0013493502 0.0034410674 0.0031388593 0.016287806 0.01566093 0.0010124939 0.0027128162 0.014785105 0.004277113 0.0072529977 0.103129365 0.02042825 0.007078474 0.0029014556 0.0036688466 0.0013936227 0.0011395368 0.0028231768 0.0035110053 0.0142615335 0.010178835 0.0008155131 0.0024118912 0.009774608 0.0023766016 0.004486926 0.062552616 0.0059119887 0.0020795264 0.0010676741 0.0006236654 0.00049598084 0.0005280624 0.001346142 0.0014847344 0.0020204962 0.0012582386 0.00030734128 0.00037792072 0.0011690519 0.00045940786 0.0005011139 0.0066498644 0.00038369538 6.2238214e-05 3.4648077e-05 3.5289708e-05 1.6040776e-05 2.2457089e-05 0.00022457087 0.00013410089 3.9781127e-05 1.8607301e-05 2.0532194e-05 1.7324039e-05 2.1173826e-05 1.9890564e-05 1.2832622e-05 0.00025087775 0.0013185518 0.00036059666 0.00022970393 0.00014115883 0.00023419534 0.00016810735 0.00040807738 0.0002848842 0.0003156825 0.00012447643 0.00014180047 0.00017580691 0.00019633911 0.00015206657 0.00010009445 0.00090469985 0.00085978565 0.00022842066 0.00017644855 0.000102019345 0.00017003223 0.00013153437 0.00017773181 0.0002393284 0.0002893756 0.00011934338 0.00013025111 0.000114851966 0.000109718916 0.00014115883 0.0002187962 0.00073338434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1752.0 18.370434 32185.0 0.014012739 0.00027963336 0.0017088706 0.0003728445 6.2140745e-05 0.00012428149 0.0 3.1070373e-05 3.1070373e-05 6.2140745e-05 9.321112e-05 3.1070373e-05 0.0013981669 0.0016778002 0.009414324 0.00062140747 0.0029206153 0.0023613484 0.0011496039 0.0013049557 0.001491378 0.0013670964 0.0008389001 0.00065247784 0.00052819634 0.0007146186 0.0006835482 6.2140745e-05 0.0011185334 0.0019263632 0.0009942519 6.2140745e-05 9.321112e-05 0.0070840456 0.0034488116 0.008948267 0.0096007455 0.0040080785 0.004287712 0.0029206153 0.0018642225 0.004411993 3.1070373e-05 0.0011806742 0.003728445 0.004567345 0.0024856299 0.0020195744 0.005530527 0.00046605562 0.0049401894 0.011837813 0.0061830045 0.0012428149 0.003821656 0.001739941 0.00021749262 6.2140745e-05 0.00012428149 0.00012428149 0.0007146186 3.1070373e-05 6.2140745e-05 0.02069287 0.0003417741 0.038900107 0.008544353 0.020506447 0.014509865 0.082305424 0.0047537675 0.012707783 0.004909119 0.35485473 0.0011806742 0.0027652634 0.023023147 0.017275129 0.031660713 0.032623895 0.008389001 0.0010874631 0.033587076 0.035171665 0.060462948 0.020195743 0.0047226967 0.0029516856 0.0050955415 0.010035731 0.0007146186 3.1070373e-05 3.1070373e-05 6.2140745e-05 0.0 3.1070373e-05 4.19341 1.0 1.0 0.0 2.0 780288.0 802816.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1533281800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 557056.0 512.0 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 -557056.0 0.0 222208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0890803 0.0 3.2339587 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 -556756.0 0.0 221864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 564860.0 221864.0 565248.0 0.0 0.0 0.0 0.0 12.0 794624.0 28.0 564548.0 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: 0.55856127 0.016646849 0.011444708 0.008977408 0.009423305 0.0041617122 0.008472057 0.0030915576 0.003745541 0.002942925 0.009274673 0.0025564805 0.0023781213 0.0030618312 0.003121284 0.0011890606 0.00196195 0.0040725325 0.003121284 0.0026159333 0.0013079667 0.0008323424 0.0017538645 0.0018727705 0.001843044 0.0015160523 0.0013376932 0.0010107015 0.0010404281 0.0021403092 0.0012485137 0.0017241379 0.006064209 0.0010107015 0.0011296076 0.0013674197 0.0013079667 0.0011296076 0.0011296076 0.0007431629 0.0033590964 0.000921522 0.002942925 0.0014268728 0.0012782402 0.0012485137 0.005112961 0.0012782402 0.007609988 0.0027348395 0.0013674197 0.0012485137 0.0012485137 0.000921522 0.0007728894 0.0015755054 0.0011593341 0.0012187872 0.0010107015 0.00050535076 0.0005945303 0.00086206896 0.00062425685 0.00050535076 0.0007728894 0.0039239 0.0010404281 0.0042806184 0.0034185494 0.00264566 0.0013376932 0.0019322236 0.0012187872 0.002942925 0.00062425685 0.0005945303 0.0011890606 0.0017241379 0.0007431629 0.0019916766 0.001783591 0.0007728894 0.002764566 0.0048751486 0.0021700356 0.002705113 0.0014565993 0.0014863258 0.000921522 0.00047562426 0.0008323424 0.00032699166 0.00068370986 0.00023781213 0.00026753865 0.0027348395 0.00062425685 0.010374554 0.0020511297 0.004488704 0.0045778835 0.01875743 0.0012782402 0.002824019 0.0020511297 0.009780024 0.0003864447 0.0006539833 0.005023781 0.006747919 0.008739595 0.01126635 0.004221165 0.00044589775 0.014030916 0.0071046376 0.014803805 0.005023781 0.0023781213 0.00068370986 0.000980975 0.0023186682 0.00062425685 0.0027942925 0.00050535076 0.0015457788 0.0005648038 0.00044589775 0.002259215 0.0013079667 0.0013971463 0.0003864447 0.0005648038 0.0003864447 0.00196195 0.00026753865 0.0007134364 0.0003567182 0.0004161712 0.00023781213 0.00080261595 0.00032699166 0.0007134364 0.00023781213 0.0005350773 0.0005648038 0.00047562426 0.0003567182 0.0003864447 0.00047562426 0.00026753865 0.00032699166 0.00050535076 0.0007431629 0.00044589775 0.0004161712 0.00023781213 0.00047562426 0.00026753865 0.00029726516 0.0007728894 0.00050535076 0.0005350773 0.00044589775 0.00044589775 0.0002080856 0.0003864447 0.00044589775 0.0006539833 0.0005350773 0.00050535076 0.0004161712 0.0002080856 0.00029726516 0.00044589775 0.0008323424 0.00044589775 0.00029726516 0.0003864447 0.00044589775 0.0004161712 0.00047562426 0.00032699166 0.0003567182 0.0007728894 0.00032699166 0.0004161712 0.0006539833 0.0003864447 0.0006539833 0.0003864447 0.00044589775 0.00023781213 0.0003864447 0.00029726516 0.0012782402 0.00044589775 0.00086206896 0.00023781213 0.00029726516 0.0004161712 0.00044589775 0.00029726516 0.0003864447 0.00044589775 0.0005945303 0.0003567182 0.00050535076 0.00047562426 0.0003567182 0.00026753865 0.00047562426 0.00032699166 0.00032699166 0.00029726516 0.00026753865 0.00047562426 0.00050535076 0.00032699166 0.0003567182 0.00029726516 0.0004161712 0.000921522 0.00044589775 0.0003567182 0.00047562426 0.00032699166 0.00044589775 0.0004161712 0.00029726516 0.0013079667 0.00032699166 0.0003567182 0.0003864447 0.0003567182 0.0003567182 0.00032699166 0.00026753865 0.00050535076 0.0003567182 0.00032699166 0.0005945303 0.00026753865 0.00062425685 0.0005945303 0.0003864447 0.00050535076 0.00068370986 0.00029726516 0.0009512485 0.00047562426 0.00023781213 0.00032699166 0.0005945303 0.0003864447 0.0010701546 0.3224389 0.0 1.5751008e-05 6.300403e-05 0.0 3.1502015e-05 0.0 0.0 0.0 0.0 0.0 0.0 3.1502015e-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 0.060216103 0.0002205141 0.0005827873 1.5751008e-05 0.0005670363 0.00050403224 0.0013230847 0.0007087954 7.875504e-05 4.7253023e-05 6.300403e-05 7.875504e-05 4.7253023e-05 0.0 1.5751008e-05 4.7253023e-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 0.07807775 0.0018743699 0.0025044102 0.0012443296 0.001795615 0.0014805947 0.0051033264 0.003575479 0.00031502015 6.300403e-05 0.00012600806 0.00015751008 4.7253023e-05 0.0002047631 6.300403e-05 0.00014175907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042370213 3.1502015e-05 0.00037802418 0.0003622732 0.0054025957 0.0042055193 0.031502016 0.018397177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08404738 0.011907762 0.010663432 0.004142515 0.006032636 0.0049615675 0.018822454 0.014333418 0.0015908518 0.0005827873 0.0006142893 0.00045677923 0.0008033014 0.0012128276 0.00012600806 0.0009923135 0.071793094 0.0043472783 0.006001134 0.004552041 0.004142515 0.003827495 0.0132781 0.008048765 0.0029296875 0.0014805947 0.0014805947 0.0011655746 0.001921623 0.0011183216 0.001779864 0.0011655746 0.016050277 0.0027249244 0.0021263862 0.0015435988 0.0012758316 0.0008820564 0.0032604586 0.0023469003 0.0010080645 7.875504e-05 0.0002047631 0.00011025705 4.7253023e-05 0.00011025705 9.4506046e-05 0.0003937752 0.012585055 0.0007875504 0.0010868196 0.0008190524 0.002236643 0.002315398 0.006064138 0.003795993 0.00033077117 0.00045677923 0.00025201612 0.00029926916 0.00064579136 0.00023626511 0.0002047631 0.00014175907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0069304435 0.001921623 0.0024571572 0.0034022178 0.0021263862 0.0015751008 0.003937752 0.0023626513 0.0013230847 0.00094506046 0.0009923135 0.0008978075 0.0007875504 0.0006300403 0.00085055444 0.0011183216 0.010033392 0.004111013 0.0042685233 0.0054498487 0.0049773185 0.0037644908 0.0070722024 0.00530809 0.0031029487 0.0021263862 0.0026461694 0.0026619204 0.001811366 0.002000378 0.0023784023 0.0028036793 316.0 16.33228 5161.0 0.010463089 0.00096880447 0.0005812827 0.0013563263 0.0007750436 0.0001937609 0.0001937609 0.0001937609 0.0 0.0007750436 0.0001937609 0.0003875218 0.0005812827 0.0007750436 0.019569851 0.0052315444 0.016469676 0.0077504357 0.0044565005 0.0032939352 0.0023251309 0.0027126526 0.0023251309 0.00096880447 0.0025188916 0.00213137 0.0025188916 0.00096880447 0.0005812827 0.0007750436 0.0003875218 0.0001937609 0.0001937609 0.018794807 0.0019376089 0.022088742 0.018019764 0.008913001 0.0025188916 0.0069753923 0.00096880447 0.0120131755 0.0 0.0001937609 0.0031001745 0.0052315444 0.0017438481 0.010075566 0.005812827 0.0 0.011625654 0.024607634 0.009494284 0.0029064135 0.0034876962 0.005425305 0.0025188916 0.0003875218 0.0019376089 0.0 0.0017438481 0.0 0.0 0.015307111 0.0003875218 0.0559969 0.009881806 0.025188917 0.024220113 0.102499515 0.0056190663 0.014144545 0.009688045 0.053284246 0.0007750436 0.0007750436 0.025188917 0.03662081 0.04534005 0.045727573 0.014532068 0.0005812827 0.07052897 0.03429568 0.085254796 0.024413873 0.009688045 0.0019376089 0.0029064135 0.008331719 0.0005812827 0.0001937609 0.0005812827 0.0001937609 0.0 0.0 5.155037 1.0 9.0 0.0 1.0 33640.0 40960.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1521196300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 4096.0 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 -5.6501417 0.0 3.2059138 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 -12484.0 0.0 1032.0 0.0 0.0 0.0 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 79.0 20588.0 1032.0 24576.0 0.0 0.0 4968.0 28672.0 12.0 32768.0 28.0 20364.0 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: 0.3793771 0.004237584 0.0039236885 0.0071672713 0.0067487443 0.0008370536 0.0017089844 0.0010114397 0.0061732703 0.00047084264 0.0006626674 0.005493164 0.0029645648 0.0010114397 0.003592355 0.0026855469 0.01461356 0.0022495815 0.0009765625 0.0021972656 0.0011509487 0.01032366 0.0012381418 0.00027901787 0.001499721 0.00019182477 0.00019182477 0.0002092634 0.0012555803 0.0004185268 0.00062779017 0.00050571986 0.0030691964 0.0003313337 0.0003313337 0.00029645648 0.005946568 0.0017438616 0.00055803574 0.00055803574 0.0015171596 0.00068010605 0.0009765625 0.0058070594 0.0011160715 0.0003313337 0.0012207031 0.00013950893 0.0019356863 0.0012904576 0.0011509487 0.0007847377 0.0030866351 0.00069754466 0.0005405971 0.0001046317 0.0009416853 0.00036621094 0.00055803574 0.00034877233 0.0024762836 0.00040108818 0.00012207031 0.0002092634 0.032575335 0.00024414062 0.00040108818 0.00080217636 0.004830497 0.008457729 0.0012904576 0.000226702 0.0009416853 0.0006626674 6.975447e-05 0.00015694754 0.0021623883 0.006539481 0.0010114397 0.00048828125 0.0224435 0.009870256 0.0107247485 0.010393416 0.0022495815 0.0059291297 0.0076555526 0.0009416853 0.00055803574 6.975447e-05 5.231585e-05 0.00031389509 0.00068010605 0.0015869141 0.00034877233 0.004359654 0.0004185268 0.0059116906 0.0020577568 0.0007672991 0.002319336 0.0029820034 0.0052141463 0.00047084264 0.011683873 0.002179827 0.008178711 0.00047084264 0.0026506695 0.0013776507 0.0012904576 0.0018659319 0.003226144 0.00017438616 0.004272461 0.0008544922 0.0038888115 0.001499721 0.0019705635 0.00038364955 0.0014474051 0.00015694754 0.00026157923 3.4877234e-05 0.001726423 0.006452288 5.231585e-05 0.00031389509 0.0037318638 0.00048828125 8.719308e-05 0.0033307758 0.00113351 0.014753069 8.719308e-05 5.231585e-05 0.0008893694 0.007359096 8.719308e-05 0.027919224 0.0009591239 0.025355747 1.7438617e-05 0.0002092634 0.0027378628 0.0023716518 0.0012032645 0.0003313337 0.00055803574 0.003452846 1.7438617e-05 0.00012207031 0.0006452288 0.00027901787 5.231585e-05 0.0002092634 0.0017613003 0.0023542133 0.00015694754 0.00017438616 0.000453404 0.0006452288 0.0004359654 0.0003313337 0.0009416853 0.0001046317 0.00034877233 6.975447e-05 0.0010114397 0.0001046317 0.00027901787 0.00013950893 0.0006626674 0.0004185268 0.00027901787 0.00038364955 0.0007672991 0.00024414062 6.975447e-05 3.4877234e-05 0.000453404 0.00013950893 6.975447e-05 0.0002092634 0.0019356863 0.0003313337 8.719308e-05 0.00012207031 0.0008544922 5.231585e-05 1.7438617e-05 0.00038364955 0.008614676 0.00017438616 0.000819615 0.00071498327 0.0074637276 3.4877234e-05 0.00052315847 0.0019008091 0.0040108818 1.7438617e-05 1.7438617e-05 0.00057547435 0.0029296875 3.4877234e-05 0.0 0.0002092634 0.0013950893 6.975447e-05 0.0001046317 0.00069754466 0.0012904576 3.4877234e-05 0.00013950893 0.0058768135 0.0063476562 0.0012904576 6.975447e-05 0.0070277625 0.0020926339 0.0002092634 5.231585e-05 0.00048828125 0.0016915457 5.231585e-05 0.006312779 3.4877234e-05 0.0014648438 0.00026157923 0.00024414062 0.0001046317 0.0017089844 0.00113351 0.00017438616 0.00034877233 0.0013078962 5.231585e-05 0.000226702 0.00012207031 0.00057547435 3.4877234e-05 6.975447e-05 6.975447e-05 0.00040108818 1.7438617e-05 0.00015694754 5.231585e-05 0.00163923 8.719308e-05 0.00012207031 0.0004359654 0.0010811941 0.00071498327 0.0060512 0.08152553 0.14545454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016663708 1.7755681e-05 0.0 5.3267046e-05 0.0 0.0 0.0 1.7755681e-05 0.0 0.0 0.0 0.0 5.3267046e-05 0.0 0.0 0.0013760653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016503906 0.00015980113 0.00018643466 9.765625e-05 0.00015980113 8.877841e-05 0.00026633524 0.00014204545 8.877841e-05 0.00012428977 1.7755681e-05 7.9900565e-05 7.9900565e-05 7.1022725e-05 2.6633523e-05 8.877841e-05 0.043803267 0.00014204545 0.00017755682 0.00041725853 0.000612571 0.0009765625 0.002059659 0.0012695312 0.0004350142 0.00017755682 0.0 0.00015980113 0.00023082386 4.4389206e-05 0.00014204545 0.0038973722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02487571 0.00081676134 0.0009943182 0.0005060369 0.001899858 0.00040838067 0.0011186079 0.0006303267 0.00057705963 0.0003018466 0.00023970171 0.00024857954 0.0005681818 0.00023082386 0.00023082386 0.0027166193 0.034366123 0.0024946732 0.0028142757 0.0010830966 0.003737571 0.00048828125 0.0024857954 0.0013494318 0.0007723722 0.00051491475 0.0011452414 0.0002840909 0.0007191051 0.00039950284 0.0004350142 0.0014559659 0.008913352 8.877841e-05 5.3267046e-05 0.0003018466 0.0009144176 0.0018821022 0.0030273437 0.0018110796 0.00011541193 8.877841e-05 0.00040838067 0.00031072443 5.3267046e-05 3.5511363e-05 5.3267046e-05 0.00012428977 0.02721946 0.0019797585 0.003409091 0.0028941762 0.0031693892 0.0014559659 0.0074840197 0.0025390624 0.0007013494 0.00053267047 0.0006392045 0.00040838067 0.00047940342 0.0004350142 0.00026633524 0.0009321733 0.007830256 0.00038174717 0.00081676134 0.0006392045 0.0011452414 0.0015625 0.0027166193 0.0016424005 0.0003728693 0.00011541193 2.6633523e-05 0.0 0.00035511365 7.1022725e-05 0.00022194603 0.0002840909 0.006471946 0.0013050426 0.001278409 0.00083451706 0.0016335227 0.00034623579 0.001677912 0.0014293324 0.00031072443 0.00031960226 0.00083451706 0.00015980113 0.00016867898 0.00013316762 0.00018643466 0.0010919744 0.05657848 0.018945312 0.010085227 0.0047674007 0.029163707 0.04873047 0.02052557 0.0124289775 0.05883345 0.009721235 0.0016601563 0.0020862927 0.016024502 0.017329546 0.008655895 0.06628196 0.030664062 0.01212713 0.005069247 0.0035955256 0.019371448 0.023570668 0.009117543 0.003799716 0.02573686 0.004705256 0.0017400568 0.002059659 0.009738991 0.008860085 0.0052734376 0.016388495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 487.0 8.123203 3956.0 0.014408493 0.0005055612 0.0 0.0 0.044489384 0.0 0.0002527806 0.0005055612 0.001263903 0.0010111224 0.004802831 0.07077856 0.0 0.0 0.0065722954 0.00075834175 0.007330637 0.0098584425 0.0075834175 0.0020222447 0.029828109 0.0027805865 0.0045500505 0.0005055612 0.002527806 0.001263903 0.0005055612 0.0 0.0 0.0 0.0 0.0 0.11627907 0.0022750252 0.003033367 0.009100101 0.005055612 0.0032861477 0.006825076 0.001263903 0.0027805865 0.006825076 0.0 0.00075834175 0.009605662 0.004802831 0.00429727 0.0037917087 0.0035389282 0.0002527806 0.0035389282 0.013397371 0.015419615 0.0002527806 0.016430737 0.0 0.0 0.0 0.0 0.0 0.0010111224 0.0 0.0 0.057381194 0.0002527806 0.056370072 0.028564205 0.0065722954 0.014408493 0.028058644 0.0053083925 0.003033367 0.07659252 0.013902932 0.07735086 0.0022750252 0.010869565 0.013902932 0.010364004 0.018200202 0.00859454 0.00075834175 0.03538928 0.010364004 0.02553084 0.0065722954 0.027047522 0.0010111224 0.0065722954 0.0015166835 0.001263903 0.0 0.0037917087 0.0 0.0 0.0002527806 5.0383725 1.0 0.0 0.0 1.0 57344.0 57344.0 0.0 0.0 70.0 0.0 1.0 0.0 0.0 0.0 1455003000.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8509326 0.0 3.0446067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41416.0 0.0 2252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 44052.0 2252.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 308.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05595444 0.0038474037 0.0041384073 0.0037614617 0.0037140937 0.0036839142 0.0035603975 0.0037052997 0.0036185582 0.0035945743 0.0035723893 0.003574388 0.0036167593 0.0035603975 0.0035837817 0.0036103637 0.004541735 0.0035711902 0.0035050348 0.0035074332 0.0035735886 0.0035579992 0.0035288187 0.0034682597 0.0035426095 0.0035080328 0.0035663934 0.0035250213 0.0034906445 0.0035028362 0.00354181 0.0035282192 0.0037748527 0.003506434 0.0035408107 0.0034210915 0.003567193 0.0034644622 0.0034936424 0.0034752549 0.0035524028 0.0034904447 0.003489845 0.0034756546 0.0034980394 0.0035490051 0.003553802 0.003500038 0.0035504042 0.0035532024 0.0034922434 0.0036403434 0.0034756546 0.0034798519 0.0034624636 0.0035434088 0.003577186 0.0035382125 0.0035959734 0.0036327487 0.0035901773 0.003581583 0.00357139 0.0036315494 0.0043410705 0.0044685844 0.003949735 0.004010494 0.003804033 0.0036965057 0.003592176 0.003506234 0.0035558005 0.003578585 0.003510631 0.003498839 0.0035554008 0.0035901773 0.0035384123 0.0035841814 0.003715293 0.0035244217 0.0035484056 0.0036409432 0.0036183584 0.0036565326 0.003574388 0.0035288187 0.0035558005 0.0035394116 0.0035400111 0.0035460072 0.0034800516 0.0035012374 0.003552203 0.003549405 0.0035072332 0.0036433414 0.0035579992 0.0035899775 0.0036861126 0.0038364113 0.0036389444 0.0035114305 0.0036169593 0.0036539342 0.003721089 0.0036731213 0.0039347447 0.0037928405 0.0039447383 0.0038917738 0.00380863 0.0036729216 0.003827817 0.003774653 0.003988908 0.003753867 0.0035775858 0.0035691916 0.0035811835 0.003612762 0.003521024 0.003509032 0.003535614 0.0035775858 0.0034980394 0.0035430093 0.0042669205 0.003474855 0.003528419 0.0036657264 0.0035540017 0.0036093644 0.0034972401 0.0034712576 0.0034842489 0.0040120925 0.0035544015 0.004147801 0.0035486054 0.0037070985 0.0035088323 0.0034770537 0.0036615292 0.0035232226 0.003483849 0.0035146284 0.0035560003 0.0034904447 0.0035310173 0.0035082325 0.0034816505 0.0034986392 0.0035010376 0.0034174938 0.0035182259 0.0034908443 0.0035440086 0.0034700583 0.0035042353 0.0035184259 0.003421691 0.0035278194 0.0034846487 0.00346786 0.0034578666 0.0034964406 0.0035514035 0.003503236 0.0035102314 0.0034746553 0.0034882461 0.0034146958 0.003464662 0.0035142286 0.0035226229 0.003504635 0.003457067 0.0036923084 0.0039325464 0.0039307475 0.003918156 0.0038641924 0.0037630608 0.0036859128 0.0036467393 0.0036433414 0.0036137614 0.0035334157 0.0035723893 0.0036177586 0.003774453 0.0035599978 0.003574388 0.0037232875 0.003552203 0.003493043 0.0036737209 0.0035975724 0.003623355 0.0035853805 0.003614561 0.0036075655 0.0036051671 0.0036209566 0.0035160275 0.0036151605 0.0036583315 0.0035875791 0.0036043678 0.0036193577 0.0038819804 0.0035569998 0.0036097642 0.0035755872 0.0036535347 0.0035957736 0.0035997708 0.0037990364 0.0038420074 0.0038601952 0.0038126272 0.0038400088 0.0038526002 0.0038404085 0.003925551 0.0038066313 0.003899169 0.0038593956 0.0039347447 0.0038691892 0.004349665 0.0039679226 0.0039143586 0.0039413404 0.0040226853 0.003804233 0.003822021 0.0038849784 0.0041066287 0.0039115604 0.0039411406 0.0038977698 0.0039557307 0.003844006 0.0039767167 0.003786445 0.0039401413 0.003924552 0.003783447 0.003841208 0.0039489353 0.003796638 0.004466386 0.015721992 0.022718422 9.995522e-08 1.3993731e-06 4.997761e-07 1.1994626e-06 9.995522e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013494954 2.2689836e-05 7.9964175e-06 6.6969997e-06 4.39803e-06 2.29897e-06 1.5992836e-06 9.995522e-07 1.4993283e-06 2.9986566e-07 1.9991045e-07 2.9986566e-07 1.4993283e-06 5.997313e-07 2.0990597e-06 3.0286432e-05 0.0010588256 2.738773e-05 6.9968655e-07 3.998209e-07 5.997313e-07 4.997761e-07 7.996418e-07 7.996418e-07 7.996418e-07 3.998209e-07 2.9986566e-07 3.998209e-07 9.995522e-07 6.9968655e-07 2.7987462e-06 0.00013184093 0.002211709 0.00015613006 1.5992836e-06 4.098164e-06 2.5988356e-06 1.1994626e-06 2.3989253e-06 5.6974477e-06 2.29897e-06 7.996418e-07 8.9959696e-07 3.2985222e-06 2.8987013e-06 1.0995075e-06 1.30941335e-05 0.00086551224 0.002301169 0.00089429936 2.9986566e-06 5.897358e-06 9.095925e-06 2.199015e-06 1.9991044e-06 3.5983878e-06 0.00051396975 1.1994626e-06 1.1994626e-06 1.2994178e-05 2.7987462e-06 1.4993283e-06 1.0995074e-05 0.00032825294 0.0014221629 1.4793372e-05 1.7792028e-05 1.7092343e-05 3.0686253e-05 2.96867e-05 3.2085627e-05 3.768312e-05 1.1794716e-05 5.1976713e-06 1.2294492e-05 2.698791e-05 1.0995074e-05 8.496194e-06 2.1290462e-05 0.00014333578 0.003770311 4.677904e-05 2.1290462e-05 7.996418e-05 0.00015822912 4.4879893e-05 3.2085627e-05 0.00014783377 0.00015053256 6.0372953e-05 1.0295387e-05 0.00020210946 1.7092343e-05 1.9191402e-05 0.00015463073 0.002044484 0.0048914086 1.7292254e-05 4.8878104e-05 7.776516e-05 0.00030146496 3.6883477e-05 0.00025988359 0.00034904364 7.176785e-05 2.049082e-05 9.295835e-06 0.0002794748 6.497089e-06 9.0659385e-05 0.00080413977 0.003584594 0.004633924 2.7687596e-05 4.5479625e-05 3.3385044e-05 0.00045969407 6.297179e-05 0.00032515434 0.00024379078 0.00017012378 3.2885266e-05 2.278979e-05 0.0002671803 3.2485448e-05 0.00036823502 0.0011411888 0.002368439 0.0017066355 5.017752e-05 0.00014123673 5.1277028e-05 0.000187516 9.685661e-05 0.00021750256 0.00014793372 0.00014373561 0.00010205428 3.238549e-05 5.897358e-05 2.6488133e-05 9.005965e-05 0.00012894224 0.0002982664 0.0012147558 0.00010585258 6.387138e-05 8.916006e-05 0.0003600387 9.445768e-05 0.00042401004 0.00026258235 2.7687596e-05 5.9073536e-05 2.8687147e-05 9.325822e-05 5.5974924e-05 7.9164536e-05 0.0002156034 0.0005105713 0.002750068 5.2976266e-05 6.587049e-05 0.00036173794 0.0008154347 0.00010495298 0.00071078155 0.0005185677 0.00015583019 6.0972685e-05 5.8373847e-05 0.0009600699 0.00051247043 0.0011507844 0.0020213944 0.0038245865 0.0028633173 8.276292e-05 0.00018581675 0.0004462001 0.00092328637 0.00018171858 0.00085721596 0.00048308357 0.00037733096 0.00019431295 7.526628e-05 0.0009699655 0.0007940443 0.001283325 0.0019074455 0.0035233216 0.0011390897 9.775621e-05 9.9255536e-05 0.00013074143 0.00042061156 0.0003026644 0.00031445912 0.0002814739 0.00050947175 5.9073536e-05 4.787855e-05 0.00020800681 0.00029536767 0.00023499472 0.00026488132 0.00071198103 0.0014027716 0.00022699831 0.00024119194 0.00028937036 0.0005700446 0.00058153947 0.00037463216 0.000404019 0.0010220421 0.00013753839 0.00010565267 0.00019851107 0.00049447845 0.00025768456 0.00048208403 0.0009903563 0.055596992 0.055639774 0.055410475 0.055325516 0.055540018 0.055530123 0.05564857 0.055466652 0.055354003 0.055457953 0.05540008 0.05562448 0.05548834 0.05551403 0.055530522 0.05549704 21363.0 5.9542665 127201.0 0.011823806 0.009897721 0.009819105 0.0091351485 0.009803382 0.008521945 0.010180738 0.009323826 0.008970056 0.00909584 0.01024363 0.008946471 0.00974049 0.010212184 0.01009426 0.009410303 0.009363134 0.009551812 0.009418165 0.0101414295 0.009771936 0.009260934 0.009323826 0.00979552 0.009606843 0.00889144 0.009614704 0.009300241 0.009567535 0.009465334 0.009787659 0.009025087 0.009732628 0.0102908 0.010007783 0.011084818 0.011155573 0.010864695 0.010204323 0.010047091 0.009850551 0.0108332485 0.009182318 0.00929238 0.010054952 0.010416585 0.009929167 0.010157153 0.010636709 0.00988986 0.009897721 0.011053372 0.010526647 0.010565954 0.009866275 0.010589539 0.00974049 0.010007783 0.009496781 0.009575397 0.009182318 0.009591119 0.009512504 0.010039229 0.009732628 0.013726307 0.010259354 0.012334809 0.011470036 0.01933161 0.010904002 0.01044017 0.01054237 0.014001463 0.009787659 0.009488919 0.013270336 0.011352112 0.013388259 0.013954293 0.012578517 0.009559673 0.014559634 0.014449572 0.015675977 0.011981037 0.009496781 0.009999922 0.010322246 0.010605263 0.00944175 0.00929238 0.00984269 0.009614704 0.008954332 0.009260934 6.5687275 1.0 1.0 0.0 74.0 5003374.0 598016.0 0.0 0.0 133.0 0.0 1.0 0.0 1.0 0.0 1483955800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 93696.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 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 -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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89600.0 -4096.0 456704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8617022 -5.9277205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8785386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3177686 -5.0098977 3.8964503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22428.0 0.0 0.0 -3852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89428.0 -3902.0 456320.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3902.0 126976.0 456320.0 139264.0 0.0 0.0 11408.0 42570776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 135168.0 0.0 0.0 0.0 0.0 576.0 127792.0 0.0 0.0 0.0 0.0


Input: 0.13799253 0.036778193 0.0077615487 0.007871943 0.011438519 0.003180197 0.0038298233 0.0021548064 0.011128566 0.0020932404 0.0020953633 0.0017068614 0.007772164 0.0024244227 0.0014669667 0.004407269 0.008661685 0.0025072182 0.0014966882 0.0012674083 0.0044412366 0.0024095618 0.0027662194 0.0014266304 0.0037703805 0.0012546706 0.0010296366 0.0011336617 0.0028532608 0.0012228261 0.0012079653 0.0013629416 0.005566406 0.0011655061 0.001171875 0.0011294158 0.014930791 0.0018045177 0.0009425951 0.0009510869 0.002511464 0.00083856995 0.0009086277 0.002016814 0.0020359205 0.0013862941 0.0014202616 0.0009659477 0.0037852412 0.0010848335 0.0013353431 0.004371179 0.0016559103 0.0010232676 0.0008534307 0.0008767833 0.0020932404 0.0012907608 0.001396909 0.0037491508 0.0019276495 0.0014988112 0.0009149966 0.0011485224 0.013809867 0.005532439 0.0036536176 0.0022609546 0.007920771 0.017219344 0.0030528193 0.001730214 0.0027492358 0.0014372453 0.0011612602 0.0008725374 0.0047575575 0.0073348335 0.002118716 0.0013438349 0.009655231 0.0058296537 0.005725628 0.003969939 0.0034986413 0.008120329 0.008071502 0.0037809953 0.0014669667 0.0009999151 0.00091711956 0.0022057574 0.0024711278 0.0023734714 0.0041164234 0.003178074 0.0022227413 0.002959409 0.0013268512 0.0019425101 0.0023119056 0.0045176633 0.003112262 0.0016898777 0.0065981657 0.0030485734 0.0075959577 0.0016644022 0.003908373 0.0015709918 0.0029233187 0.0030846638 0.0032141644 0.0008258322 0.0029997453 0.002785326 0.010304857 0.006619395 0.00144786 0.0013523267 0.0021420687 0.0012185802 0.0009871774 0.00077912706 0.0030995244 0.0034158458 0.001840608 0.0013523267 0.003683339 0.003292714 0.0009659477 0.015671706 0.003946586 0.0072966204 0.0026388417 0.0010105299 0.0036345108 0.013325832 0.0031441066 0.052445654 0.0016304348 0.0067849862 0.0026706862 0.00089164404 0.025921365 0.0009553329 0.0023416271 0.0012079653 0.0014881963 0.0015688689 0.0013013757 0.00085555366 0.0014690896 0.0017153532 0.00088952103 0.00088102923 0.001176121 0.0007472826 0.0014818275 0.00082795514 0.0029679008 0.0013735564 0.0009893003 0.0012631624 0.0014266304 0.0009553329 0.00095745584 0.00082795514 0.0012398098 0.00086616847 0.0007430367 0.00091711956 0.0012398098 0.0008215863 0.0010253906 0.0009553329 0.0028341543 0.00085130776 0.0007536515 0.00082795514 0.0015327785 0.00078125 0.00083432405 0.00075577444 0.0019467562 0.001224949 0.00090225885 0.0009362262 0.0014903193 0.0010954484 0.0019085428 0.0010126529 0.009230639 0.0036472487 0.004534647 0.0041461447 0.007818869 0.0010317595 0.0027449897 0.0049337638 0.0043924083 0.0029403022 0.0012652853 0.0012037194 0.009498131 0.0012398098 0.0051800273 0.002231233 0.0027258832 0.0014096467 0.0021993886 0.00092773436 0.0016176971 0.00092773436 0.0012865149 0.0010848335 0.0026685633 0.002004076 0.0010869565 0.0022503396 0.002014691 0.0012376868 0.0008980129 0.0010317595 0.0036069124 0.0022588316 0.0017429518 0.0011060631 0.0022397249 0.0015115489 0.0009786854 0.0011379076 0.013952106 0.0030591881 0.0012652853 0.0048891813 0.0039253565 0.0010296366 0.0010105299 0.0008534307 0.0038744055 0.002178159 0.0014839504 0.0012674083 0.002844769 0.0008258322 0.0016877548 0.0015030571 0.005137568 0.00144786 0.0012355639 0.0014287534 0.005585513 0.0019828465 0.004006029 0.031547215 0.026066134 1.2765523e-05 3.1913808e-06 1.0637935e-06 1.2765523e-05 7.446555e-06 2.3403458e-05 6.3827615e-06 6.3827615e-06 0.0 0.0 1.0637935e-06 2.127587e-06 0.0 1.0637935e-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 0.0040743295 5.8508645e-05 4.3615535e-05 1.0637935e-06 3.510519e-05 1.7020697e-05 1.0637936e-05 7.446555e-06 3.829657e-05 1.1701729e-05 5.318968e-06 1.0637935e-06 2.4467252e-05 3.1913808e-06 5.318968e-06 2.0212077e-05 0.0019095094 1.9148285e-05 1.9148285e-05 3.1913808e-06 1.5956904e-05 9.5741425e-06 3.510519e-05 2.0212077e-05 6.3827615e-06 9.5741425e-06 2.3403458e-05 4.0424155e-05 3.29776e-05 5.318968e-06 1.0637936e-05 1.808449e-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 0.0016882404 1.5956904e-05 3.191381e-05 5.2125884e-05 4.3615535e-05 2.1275871e-05 0.00013510179 4.9998296e-05 4.5743123e-05 7.127417e-05 0.0 2.127587e-06 4.255174e-06 0.0 2.127587e-06 1.489311e-05 0.0028881996 3.4041394e-05 1.3829316e-05 0.0002329708 0.00028935185 0.00017658973 0.00040956054 0.00021169492 2.3403458e-05 1.2765523e-05 1.2765523e-05 1.2765523e-05 1.7020697e-05 6.3827615e-06 4.255174e-06 1.1701729e-05 0.009180538 0.00011063453 0.00022126906 8.5103486e-05 0.0011042177 0.0002819053 0.0021095027 0.0009446487 0.00015531386 0.00010318798 0.00014680352 0.00012446386 9.042245e-05 5.7444853e-05 8.1912105e-05 0.00045317606 0.006760408 0.00021169492 0.00089677796 0.00022765182 0.00088720385 0.0004936002 0.0039860345 0.0020935459 0.0005659382 0.00043296398 4.9998296e-05 7.5529344e-05 0.00020531216 5.2125884e-05 0.00017127076 0.00031913808 0.0066231787 0.00021914148 0.00073827273 0.0007350814 0.0025424666 0.0012350644 0.005510451 0.002932879 0.0002521191 0.0004967916 7.127417e-05 4.5743123e-05 3.829657e-05 5.5317265e-05 4.0424155e-05 0.00024999148 0.0059689456 0.00016276042 0.0013276144 0.00058508647 0.0019105732 0.0010159229 0.006319998 0.003221167 0.00022233286 9.999659e-05 7.021038e-05 0.00010957074 0.00016914318 0.00012233626 0.000102124184 0.0003787105 0.002674377 0.000111698326 0.00041807088 0.00019786561 0.00059146923 0.00023616217 0.00077337795 0.00043934674 0.00011914488 8.403969e-05 0.00011276212 0.0002148863 0.00012020867 0.00010957074 8.935866e-05 0.00024360872 0.025389561 0.0025169356 0.0023052406 0.0022435407 0.018152574 0.0030052168 0.002453108 0.003273293 0.00888374 0.0025807633 0.001514842 0.002096737 0.004220069 0.004282833 0.005111528 0.0056519355 0.09821474 0.016117536 0.012834669 0.009026288 0.028087342 0.03139255 0.013029343 0.014532484 0.07035186 0.017179202 0.0042019845 0.005128549 0.034500953 0.007163586 0.021052474 0.03548709 0.042224094 0.009883706 0.011524076 0.0061689387 0.013899527 0.019142965 0.006242341 0.007334857 0.03276378 0.014209091 0.0032169118 0.0025701253 0.016724963 0.0038881656 0.008363545 0.015350541 0.010066679 0.009333725 0.009365639 0.009442232 0.009474145 0.009409254 0.009451806 0.009318831 0.009789028 0.009565632 0.009110328 0.009199687 0.009918812 0.0096166935 0.009541164 0.009901791 1833.0 12.060556 22107.0 0.03967069 0.003347356 0.0011308636 0.0023974306 0.010675352 0.0060614287 0.0020807888 0.0019450852 0.0029402452 0.0016284435 0.001085629 0.0016284435 0.004840096 0.0071922923 0.010403944 0.0022617271 0.0062423665 0.002849776 0.0051567378 0.0025783689 0.0018093816 0.0014475053 0.0017641471 0.0012665672 0.002759307 0.002352196 0.0038901705 0.0016284435 0.0017641471 0.0037092324 0.0012665672 0.0041163433 0.009227847 0.010630117 0.009906365 0.01334419 0.0075541683 0.009318315 0.006016194 0.005337676 0.005699552 0.0072375266 0.0019903197 0.0017189125 0.010449179 0.0066494774 0.0045686886 0.004749627 0.013027548 0.004930565 0.008730266 0.01972226 0.010042069 0.0058352556 0.011580043 0.0061518974 0.002849776 0.0022164925 0.001176098 0.004704392 0.0033925907 0.0042972816 0.0055638487 0.012303795 0.0019903197 0.043063283 0.008730266 0.021034062 0.0225268 0.07653684 0.008820736 0.01732483 0.01922468 0.04243 0.0040711085 0.0050662686 0.039308816 0.014927398 0.043289457 0.045867823 0.014701226 0.0013118017 0.04193242 0.033066448 0.05541231 0.026326504 0.009092143 0.004840096 0.006920885 0.007101823 0.0023974306 0.00094992534 0.0028950106 0.001085629 0.0010403944 0.0018998507 5.7247863 0.0 0.0 1.0 3.0 471040.0 35110910.0 0.0 1.0 134.0 0.0 1.0 0.0 0.0 0.0 1095293300.0 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 315392.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -315392.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.512537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.036857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.453698 0.0 7.8964443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41883.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34664556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -314338.0 0.0 77824.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 361296.0 180.0 357912.0 2120.0 35033090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 600.0 319488.0 0.0 0.0 0.0 0.0


Input: 0.4509943 0.0042613638 0.0085227275 0.0021306819 0.0085227275 0.0042613638 0.0014204546 0.004971591 0.004971591 0.0007102273 0.0028409092 0.0014204546 0.007102273 0.0014204546 0.0014204546 0.0021306819 0.0042613638 0.0 0.0021306819 0.0 0.0063920454 0.0007102273 0.0014204546 0.0007102273 0.0021306819 0.0014204546 0.0007102273 0.0007102273 0.0021306819 0.0 0.0035511365 0.0 0.0078125 0.0014204546 0.0 0.0007102273 0.0028409092 0.0007102273 0.0 0.0007102273 0.0 0.0 0.0007102273 0.0028409092 0.0007102273 0.0007102273 0.0035511365 0.0 0.0014204546 0.0007102273 0.0007102273 0.0028409092 0.0014204546 0.0021306819 0.0007102273 0.0 0.0007102273 0.0014204546 0.0014204546 0.0014204546 0.0007102273 0.0 0.0007102273 0.0007102273 0.0042613638 0.0007102273 0.0056818184 0.0021306819 0.0021306819 0.024857955 0.0014204546 0.0007102273 0.0035511365 0.0007102273 0.0007102273 0.0014204546 0.0021306819 0.0056818184 0.0021306819 0.0007102273 0.020596592 0.0035511365 0.0007102273 0.009232954 0.0007102273 0.0035511365 0.0021306819 0.0078125 0.0 0.0056818184 0.0021306819 0.0028409092 0.0028409092 0.0056818184 0.0021306819 0.0021306819 0.0063920454 0.0035511365 0.0014204546 0.0042613638 0.0035511365 0.0035511365 0.0028409092 0.0 0.0035511365 0.0028409092 0.0063920454 0.0014204546 0.0021306819 0.0007102273 0.0007102273 0.0021306819 0.0028409092 0.0 0.0021306819 0.0021306819 0.007102273 0.007102273 0.0007102273 0.0014204546 0.0014204546 0.0014204546 0.0 0.0 0.0014204546 0.0028409092 0.0 0.0014204546 0.0085227275 0.0 0.0 0.007102273 0.0 0.0063920454 0.0007102273 0.0007102273 0.0014204546 0.007102273 0.0021306819 0.019176137 0.0 0.012073863 0.0 0.0007102273 0.0 0.0 0.0 0.0007102273 0.0014204546 0.0 0.0007102273 0.0 0.0014204546 0.0 0.0007102273 0.0 0.0021306819 0.0 0.0 0.0 0.0 0.0014204546 0.0 0.0007102273 0.0014204546 0.0 0.0 0.0 0.0 0.0007102273 0.0 0.0007102273 0.0014204546 0.0 0.0 0.0007102273 0.0 0.0 0.0007102273 0.0 0.0014204546 0.0021306819 0.0 0.0 0.004971591 0.0 0.0028409092 0.0007102273 0.0 0.0 0.0014204546 0.0007102273 0.0028409092 0.0042613638 0.0 0.0021306819 0.0056818184 0.0 0.009943182 0.0035511365 0.0021306819 0.0014204546 0.0014204546 0.0007102273 0.0021306819 0.0007102273 0.0007102273 0.0 0.0021306819 0.0 0.0014204546 0.0007102273 0.0028409092 0.0 0.0021306819 0.0 0.0007102273 0.0007102273 0.0007102273 0.0014204546 0.0 0.0007102273 0.0021306819 0.0 0.0007102273 0.0007102273 0.0014204546 0.0 0.0021306819 0.0007102273 0.0 0.0 0.0028409092 0.0007102273 0.0014204546 0.0014204546 0.0042613638 0.0 0.0014204546 0.0 0.0021306819 0.0007102273 0.0007102273 0.0014204546 0.0056818184 0.0014204546 0.0021306819 0.0021306819 0.0063920454 0.0 0.0 0.0 0.0056818184 0.0 0.0028409092 0.021306818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.50710225 0.026278408 0.022727273 0.017045455 0.058948863 0.07173295 0.045454547 0.031960227 0.06605113 0.007102273 0.007102273 0.0149147725 0.037642047 0.015625 0.017755682 0.052556816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 11.375 91.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054945055 0.0 0.010989011 0.0 0.0 0.010989011 0.010989011 0.032967035 0.0 0.0 0.0 0.0 0.010989011 0.0 0.0 0.0 0.0 0.0 0.010989011 0.010989011 0.021978023 0.0 0.0 0.010989011 0.010989011 0.0 0.010989011 0.010989011 0.0 0.0 0.021978023 0.010989011 0.010989011 0.0 0.032967035 0.0 0.0 0.010989011 0.010989011 0.021978023 0.0 0.0 0.0 0.021978023 0.0 0.010989011 0.032967035 0.0 0.010989011 0.010989011 0.010989011 0.054945055 0.010989011 0.043956045 0.043956045 0.054945055 0.010989011 0.0 0.021978023 0.043956045 0.010989011 0.021978023 0.032967035 0.010989011 0.010989011 0.021978023 0.032967035 0.0 0.032967035 0.021978023 0.043956045 0.010989011 0.0 0.0 0.010989011 0.010989011 0.0 0.0 0.0 0.0 0.0 0.0 5.284077 0.0 0.0 0.0 1.0 1408.0 1408.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1511946000.0 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 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 0.0 544.0 608.0 0.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -32.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1016095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.117488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.71862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.231403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -80.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -536.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0 1376.0 28.0 1152.0 0.0 0.0 0.0 0.0 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: 0.32543382 0.009049644 0.008742243 0.0055360836 0.0074551827 0.0030826246 0.0035652723 0.0027292576 0.0074609285 0.002039761 0.0017294874 0.0016490462 0.0053349803 0.001858768 0.0013818663 0.009213399 0.0053062513 0.0013675017 0.0011721443 0.0012640773 0.0032348884 0.0024161113 0.0015513675 0.000856125 0.0023184326 0.0009968972 0.0007268444 0.000827396 0.0015743508 0.00088485406 0.00066364056 0.0014795449 0.004725925 0.00077568373 0.0010256263 0.0009997701 0.003074006 0.0009020915 0.00076419214 0.00079579407 0.0016088255 0.000649276 0.0009423121 0.0022897036 0.0012525856 0.002505171 0.0015628592 0.0013244082 0.0053809467 0.0028671569 0.0020225237 0.006239945 0.00206849 0.002123075 0.00251379 0.006349115 0.017849345 0.0032119052 0.0020340153 0.003694553 0.0022063893 0.0026057228 0.0015226385 0.0058434843 0.005823374 0.0032751092 0.009092737 0.0069236956 0.002427603 0.0074666743 0.0031400828 0.0017955642 0.002071363 0.0016662836 0.0012296024 0.0009135831 0.0016720294 0.0036256034 0.0016835211 0.0009394392 0.0057486785 0.002631579 0.0016921398 0.0027034015 0.0018673869 0.004613882 0.0040622847 0.0032894737 0.0018099288 0.0035566536 0.0013129165 0.0013933579 0.0011319238 0.003717536 0.0025109171 0.002281085 0.0015283843 0.0034733394 0.0018357849 0.003099862 0.0038784188 0.0054613883 0.005774535 0.0065990575 0.018975522 0.0045047114 0.004286371 0.001358883 0.0032722363 0.0021403125 0.0030050564 0.0034101356 0.0036457137 0.0011462882 0.004524822 0.004050793 0.009865548 0.008397494 0.0015398759 0.0016978856 0.0016576649 0.0015513675 0.000916456 0.00044529993 0.0010859573 0.0015657321 0.0015255114 0.0023155597 0.003045277 0.0016576649 0.001152034 0.009339807 0.0020569984 0.0073661227 0.0011261778 0.00066076766 0.001390485 0.006268674 0.0010457366 0.020989427 0.00087336247 0.0062772925 0.00050275796 0.0004165709 0.0013157895 0.0007124799 0.00045391865 0.00071822567 0.00084750634 0.0006981154 0.00042231672 0.0004079522 0.0008245231 0.00058319926 0.0002987819 0.0004883935 0.0007354631 0.00057745347 0.00047402896 0.0010170076 0.0012928062 0.0014450701 0.00048552058 0.00088772696 0.0007067341 0.0006033096 0.0004194438 0.00034762124 0.0010658469 0.00048552058 0.00035911283 0.00044817282 0.0007929212 0.0004309354 0.00046253734 0.00044242703 0.0012784417 0.00058607216 0.0003964606 0.00045966444 0.0008388876 0.00062916573 0.001508274 0.0010313721 0.001390485 0.00066651346 0.00062916573 0.0005343599 0.00093369343 0.0012928062 0.0007440818 0.0011865088 0.0066450243 0.0027378763 0.0021431856 0.0036457137 0.0024592048 0.00087623537 0.0023184326 0.0030941162 0.0024074926 0.002864284 0.0007929212 0.000531487 0.008104458 0.00076706504 0.0011462882 0.0010514824 0.0016605378 0.0014623075 0.0011721443 0.0006952425 0.00097391405 0.00038209607 0.00080441276 0.000620547 0.0018156746 0.001094576 0.00058607216 0.0010486095 0.0009825327 0.0010371179 0.00049701217 0.0006004367 0.0023299241 0.0009020915 0.0005544702 0.00053723285 0.0013703746 0.0014364513 0.0006061825 0.0005142496 0.009624224 0.0019018616 0.00055159733 0.0034130085 0.003812342 0.0005573431 0.0006550218 0.0007871754 0.003907148 0.000976787 0.0011405424 0.0010543553 0.001950701 0.00055159733 0.0024333487 0.0023241783 0.0043955413 0.0016720294 0.0011118134 0.0010859573 0.0041312343 0.0017610894 0.004013445 0.048152722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054173213 9.245562e-05 9.967872e-05 3.9004713e-05 1.0112333e-05 1.8780049e-05 2.3113906e-05 1.4446191e-05 7.3675576e-05 1.1556953e-05 2.0224667e-05 2.0224667e-05 1.30015715e-05 1.589081e-05 1.1556953e-05 3.6115478e-05 0.0024847449 7.3675576e-05 6.356324e-05 4.911705e-05 1.4446191e-06 0.0 0.0 8.667715e-06 7.2230955e-06 0.0 0.0 0.0 1.0112333e-05 0.0 1.0112333e-05 0.0002499191 0.0075250207 0.00017046505 0.00011123567 0.00019935744 3.9004713e-05 5.0561666e-05 0.00017190968 4.767243e-05 8.6677144e-05 4.1893953e-05 2.1669286e-05 5.0561666e-05 5.2006286e-05 3.9004713e-05 4.622781e-05 0.00022247134 0.062355537 0.00051139516 0.00032937314 0.0060500647 0.00016324196 0.00031348233 0.005752473 0.00044494268 0.00023836215 0.00010979105 0.00012279263 0.00013434957 0.00019502357 0.00018780048 0.00028892382 0.0056426823 0.065002084 0.00060240616 0.000788762 0.008595483 0.00039149178 0.00054751063 0.009852302 0.0011296921 0.00024847448 0.00020658053 0.00024702985 0.0001661312 0.00026003143 0.0002499191 0.00038137945 0.0060052816 0.040849492 0.00076853734 0.0012091462 0.0057900334 0.0019747943 0.0005735138 0.0063360995 0.00093177933 0.00027014376 0.00026003143 0.00024269601 0.00017913277 0.0004088272 0.00029903615 0.00038715792 0.004608335 0.046788324 0.001266931 0.0021134778 0.0066351355 0.0056426823 0.004528881 0.011285365 0.004137389 0.0007064187 0.0006139631 0.00041893954 0.00051861827 0.000515729 0.00056340144 0.0005431768 0.0054375464 0.03674822 0.0016483103 0.002874792 0.0018129969 0.0059287166 0.0020759176 0.0105153825 0.0054548816 0.00068330485 0.00062696467 0.00061685237 0.00060096156 0.0006327432 0.00056917995 0.00043771957 0.002737553 0.014641214 0.0006500786 0.0012163692 0.0016309749 0.0033688517 0.0015024039 0.0054548816 0.0030481464 0.0006154077 0.000739645 0.00032070544 0.0003120377 0.000364044 0.00028170072 0.00051283976 0.00084365753 0.008576703 0.0011874769 0.00086532685 0.011673966 0.0021091439 0.0014922915 0.0023431722 0.0016584228 0.0012077015 0.0008046528 0.0008205436 0.0008696607 0.0013333834 0.0008451022 0.0010242349 0.0016497549 0.005207852 0.0008277667 0.0007382003 0.0037300065 0.0010097887 0.00064574473 0.0010430149 0.0011138013 0.003003363 0.0007353111 0.00046661196 0.00084076833 0.0013868343 0.0005012828 0.0007049741 0.004671898 0.05534047 0.008471246 0.0059604985 0.009709285 0.017166408 0.015805578 0.0087153865 0.012399166 0.03039912 0.0024861894 0.0031030418 0.0044840975 0.021124665 0.004702235 0.012056791 0.024762215 0.04341369 0.009446364 0.007803832 0.010571723 0.014814569 0.016012158 0.01016434 0.014503975 0.025803786 0.0028964612 0.0033890763 0.0043280786 0.014541536 0.0061844145 0.012380386 0.02268052 0.0023922892 0.0007786497 0.0008118759 0.0020109098 0.0010950213 0.0008017636 0.00080609747 0.00090577616 0.00094767014 0.00096500554 0.000788762 0.0014865131 0.0008451022 0.00094911474 0.0008017636 0.001365165 1161.0 19.755383 22936.0 0.022453785 0.0009155912 0.0020055808 0.0011335891 0.00627834 0.0008719916 0.0008719916 0.0023107778 0.0030519706 0.00082839205 0.0006975933 0.0010027904 0.002703174 0.0022235787 0.012382281 0.006452738 0.02925532 0.017570632 0.011248692 0.010202302 0.008807115 0.008240321 0.0067143356 0.007804325 0.007629927 0.013385071 0.009766306 0.006975933 0.0079351235 0.0064091384 0.0061039412 0.009679107 0.0104639 0.012905476 0.006757935 0.019576212 0.011335891 0.0073683294 0.010856296 0.009635507 0.006670736 0.012992675 0.0070631322 0.0048395535 0.007629927 0.0041419603 0.008458319 0.0022671781 0.011771887 0.00941751 0.012469481 0.012731078 0.009809906 0.008807115 0.0149110565 0.013864667 0.011335891 0.0045343563 0.0118154865 0.0013951866 0.0030519706 0.0011771887 0.0015259853 0.0057115452 0.004054761 0.02506976 0.0118154865 0.029473318 0.02812173 0.044471573 0.006452738 0.017963028 0.011117893 0.031609695 0.0052755494 0.0057115452 0.026290547 0.015041855 0.020971399 0.030912103 0.015913848 0.0012207882 0.033484478 0.025854552 0.044994768 0.012731078 0.006452738 0.007717126 0.007891525 0.008763516 0.0031827695 0.0006975933 0.0026595744 0.0007411929 0.0009591908 0.0011771887 6.0737734 1.0 41.0 0.0 4.0 348080.0 356352.0 1.0 0.0 107.0 1.0 1.0 1.0 1.0 0.0 1541073000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 140800.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141824.0 0.0 112640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.5854173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4643593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.454594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.447828 0.0 3.2333217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140865.0 0.0 112472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 160.0 208824.0 112472.0 229376.0 0.0 0.0 14768.0 333312.0 9172.0 344064.0 112.0 199312.0 0.0 0.0 0.0 0.0 24.0 199516.0 64.0 199424.0 0.0 0.0 456.0 147456.0 0.0 0.0 0.0 0.0