Input: 0.3122879 0.022622313 0.051304642 0.0067278766 0.040300187 0.0046125166 0.007892184 0.0039572706 0.006819026 0.0039641503 0.05832202 0.002999913 0.0030199774 0.0023039652 0.0018728675 0.0013574993 0.0010743047 0.004360852 0.0067829103 0.0046916273 0.0031552685 0.0012193416 0.009896903 0.006656791 0.0020052923 0.0012898536 0.0011494029 0.0014979499 0.00093672035 0.0013901755 0.0010066591 0.0060657514 0.008891391 0.0010903563 0.003538785 0.0061379834 0.0005251137 0.000564096 0.002607224 0.00045804135 0.01054355 0.0009069104 0.0028938581 0.0021228124 0.00042364525 0.0012732288 0.0028095879 0.00093500054 0.0031724665 0.0046801623 0.0035628623 0.002006439 0.00411492 0.0018396178 0.0017089127 0.0015461046 0.0022517978 0.0026702837 0.00049071765 0.0012176218 0.00041332643 0.0005887465 0.00040186106 0.0015701818 0.0020534468 0.002032236 0.0020826836 0.001600565 0.0029053236 0.0017014602 0.0013024656 0.0012187683 0.00061912974 0.0036815288 0.0020815372 0.00033364212 0.002747675 0.0021864453 0.0010232838 0.0012273673 0.0015782076 0.002080964 0.0030698515 0.0018161138 0.0042284266 0.00067989615 0.004372317 0.002051154 0.00068276253 0.0021681006 0.0018900655 0.00068734866 0.0020672055 0.0017192316 0.00061683665 0.0061012944 0.0005944792 0.009178025 0.0012652031 0.0028978712 0.0008260796 0.01268356 0.0005176613 0.003909116 0.00087595393 0.0041097603 0.00042364525 0.0009200956 0.003448782 0.005310757 0.0040008393 0.04095371 0.012553428 0.0005939059 0.01471637 0.013861054 0.011347272 0.0033203699 0.0017524811 0.0015552768 0.002579134 0.0018539496 0.0006959477 0.03489828 0.00082493306 0.0033983344 0.00302571 0.0011104207 0.00082837266 0.0018843329 0.0010725849 0.00042880466 0.0021956174 0.0003451075 0.0011172999 0.0003468273 0.00033650847 0.0006105307 0.00038408974 0.00035714614 0.00042880466 0.000384663 0.0005125018 0.001696874 0.00037377092 0.0003164441 0.00061339705 0.00035542634 0.0009028975 0.00034740058 0.00039956797 0.0002929401 0.00036746496 0.0003302025 0.0004574681 0.0002923668 0.0003307758 0.0005457514 0.00038580954 0.00030841833 0.000329056 0.001677383 0.002070645 0.0019416596 0.00053772563 0.00043740368 0.0009963403 0.0005039028 0.00035886595 0.0006649912 0.00042192545 0.00028090144 0.0007807914 0.0003307758 0.0003216035 0.00031128468 0.000478679 0.0009665303 0.0007068398 0.000957358 0.0009768491 0.0014790321 0.0011046879 0.0010049393 0.00033765502 0.0002745955 0.00040358087 0.0010725849 0.0004207789 0.00046492057 0.00074410223 0.00042937795 0.00044944233 0.00046205422 0.000431671 0.0005950525 0.00037205112 0.00031873715 0.0005291266 0.00027803512 0.00033937482 0.00049243745 0.00027688858 0.0002872074 0.00033708176 0.0007916835 0.00039268876 0.00028663414 0.00033880156 0.00027172916 0.00062486244 0.000549191 0.00032275004 0.0007836577 0.0005211009 0.00026943607 0.00036574516 0.00031071142 0.00040759373 0.00026427666 0.00027860838 0.00093500054 0.0005801475 0.0002619836 0.00043568388 0.00089200545 0.00030268566 0.00080486864 0.00033192232 0.00030727178 0.00028319453 0.00039268876 0.00037663727 0.00025797074 0.00038065013 0.00024363902 0.0002854876 0.00027975492 0.00027000936 0.00027230242 0.0014182657 0.00026886282 0.00035370653 0.00027631532 0.00079225673 0.00035542634 0.000846144 0.0005417385 0.00041619278 0.00031243122 0.00055607024 0.0005440316 0.000564096 0.00055607024 0.0014520886 0.0014543816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018888623 0.00013598432 3.155754e-05 0.0 0.0 0.0 0.0 0.0 0.00029377203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013526711 3.442641e-05 0.00015520574 0.0 0.0 0.0 0.0 0.0 0.00022032902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005395479 0.00030209174 0.00022577988 4.590188e-05 0.00012508262 5.7951125e-05 0.00032246072 0.0010884483 0.00011991866 3.9303486e-05 8.692669e-05 2.6967355e-05 2.4098486e-05 0.00010786942 3.2131316e-05 0.0002252061 0.06783351 0.0034911248 0.0071222503 0.00089307845 0.0021677164 0.0016059921 0.008620947 0.011085304 0.00057262596 0.00057061773 0.0036712897 0.0010150053 0.0006581182 0.0010046774 0.0006575444 0.0012511131 0.2686706 0.023970822 0.022538971 0.016808407 0.015571065 0.021032529 0.05359102 0.05404889 0.0046647787 0.0026049316 0.0035984204 0.0026327597 0.0022420199 0.0026643171 0.0025676363 0.0045554745 0.16203623 0.020248754 0.013723515 0.013428882 0.010173004 0.012237154 0.027272029 0.03410395 0.005467775 0.0027799327 0.0031287868 0.0061674914 0.0030286633 0.0025948908 0.0023263646 0.0038442824 0.021703843 0.0047393693 0.0017637798 0.0009137343 0.0007028725 0.0007797582 0.0019898466 0.0076845484 0.0013518104 0.00059184735 0.0013936958 0.001935338 0.0006624215 0.0006589789 0.0005069289 0.00079984026 0.0013099249 0.00029377203 0.00015750082 0.00015118932 7.2295465e-05 0.00011819734 0.00012106621 0.00012106621 0.00024987836 3.7582166e-05 9.6393946e-05 5.19265e-05 2.8688675e-05 6.081999e-05 3.0409996e-05 3.700839e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7229.0 14.480979 104683.0 0.0004967378 1.9105299e-05 0.00021971094 0.00027702685 2.8657949e-05 0.0 0.0 3.8210597e-05 3.8210597e-05 0.0 2.8657949e-05 1.9105299e-05 2.8657949e-05 8.597384e-05 0.001604845 5.7315898e-05 0.014500922 0.031237165 0.024578966 0.012542629 0.011606469 0.010603441 0.009982519 0.009352044 0.012628603 0.011778417 6.6868546e-05 0.0 0.00013373709 0.00010507915 0.00014328974 2.8657949e-05 0.00026747418 0.016965505 0.009170543 0.008807543 0.019105298 0.014921239 0.007947804 0.00638117 0.00036300067 0.027425656 3.8210597e-05 0.00015284239 0.017806139 0.014997659 0.0060850377 0.0066390913 0.004518403 9.552649e-05 0.01182618 0.01131989 0.013096683 0.0028944528 0.01586695 0.00015284239 0.0011558706 0.00094571227 0.00013373709 9.552649e-06 6.6868546e-05 0.0 9.552649e-06 0.059732717 0.00014328974 0.054201733 0.0027320578 0.019076642 0.0034007432 0.11125971 0.0013755815 0.036768146 0.0023403992 0.02834271 0.0002483689 0.0026556365 0.029317081 0.040550996 0.03540212 0.021760935 0.010775388 9.552649e-05 0.018111823 0.038449414 0.08264952 0.013927763 0.003649112 0.0025792154 0.0045852717 0.004088534 0.00031523744 0.0 3.8210597e-05 9.552649e-06 1.9105299e-05 0.0 5.154585 0.0 0.0 0.0 1.0 1744384.0 1769472.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1472782100.0 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 -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 1741824.0 512.0 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 -1741824.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2902575 0.0 4.4372406 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 -1741604.0 0.0 1280.0 0.0 0.0 0.0 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 83.0 1749704.0 1280.0 1753088.0 0.0 0.0 0.0 0.0 12.0 1761280.0 28.0 1749592.0 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: 0.03208073 0.005989176 0.004355209 0.0041307295 0.004523187 0.00399482 0.0040711737 0.003929156 0.0044101835 0.003884871 0.0038787627 0.0038466942 0.004116986 0.003669554 0.0038360048 0.004116986 0.004416292 0.0037459075 0.0038894522 0.003693987 0.003964279 0.0040192534 0.0036588644 0.0036405395 0.003674135 0.0036848246 0.0036008356 0.0034863052 0.0037733947 0.003840586 0.0036191605 0.003672608 0.0047094896 0.0041918126 0.0037184202 0.0036909329 0.0041475273 0.0035916732 0.0035932004 0.003568767 0.0038528026 0.0036680268 0.003713839 0.003797828 0.0035611317 0.0036008356 0.0040650656 0.0034068974 0.0040207803 0.0036802434 0.0037520158 0.003996347 0.0037443803 0.0036206876 0.0034435473 0.0034725615 0.0036344312 0.0036619185 0.0038986146 0.0038115715 0.0037062035 0.003460345 0.003590146 0.0036023627 0.004226935 0.0040146722 0.00396886 0.003929156 0.004141419 0.004454469 0.0038894522 0.0037764488 0.003973441 0.0038818168 0.0037107847 0.003417587 0.0035290632 0.0038497483 0.0037291097 0.0035718211 0.0046361904 0.0035764026 0.0037199473 0.0040039825 0.0037749219 0.004034524 0.0038894522 0.0038589109 0.0035916732 0.0036878786 0.0036344312 0.0034786698 0.003608471 0.0036771891 0.0036222145 0.0037489615 0.0034511825 0.003910831 0.0036313771 0.0039841305 0.0039627515 0.004691165 0.0037733947 0.0036848246 0.004289545 0.0041490546 0.004039105 0.003374829 0.003866546 0.0035183737 0.0040009283 0.004074228 0.0037718676 0.0035748754 0.004368953 0.004106296 0.005005742 0.00443309 0.0038085175 0.0036573373 0.0036588644 0.0036634456 0.0035473881 0.0034298035 0.0036832974 0.0036863517 0.0037199473 0.0035596048 0.004139892 0.0039627515 0.00393221 0.0042758016 0.004132257 0.0043185595 0.0038100444 0.0037062035 0.0041353106 0.0043888045 0.0039047229 0.0048408182 0.00369246 0.004162798 0.0036054167 0.0035962544 0.004058957 0.003585565 0.0037474346 0.0035504422 0.0038207339 0.0034969947 0.0035183737 0.0034893593 0.0034649263 0.003632904 0.0034542368 0.0034649263 0.0036099982 0.0035519693 0.0036069439 0.003506157 0.0042131916 0.003803936 0.0035336444 0.0037856114 0.0037718676 0.0036664996 0.0035000488 0.0035168466 0.0037260556 0.0034435473 0.0037397991 0.003651229 0.0034756158 0.003477143 0.00356724 0.003335125 0.0037871385 0.003501576 0.003458818 0.0034511825 0.0036588644 0.0034908864 0.0035947273 0.0036176334 0.003632904 0.0034878324 0.0035550233 0.0033733018 0.0035565505 0.00356724 0.0036038898 0.0036206876 0.003988712 0.0037062035 0.0038512754 0.0037062035 0.0037062035 0.0034908864 0.003626796 0.0036313771 0.0037077307 0.003819207 0.0035336444 0.0033671935 0.0034924136 0.003527536 0.0036038898 0.0035000488 0.0038726544 0.003611525 0.0036405395 0.0036161062 0.0036038898 0.0034985219 0.00362985 0.0035977815 0.0036099982 0.0035504422 0.0035748754 0.0036466478 0.0035305903 0.0036420666 0.003400789 0.0034252224 0.0037489615 0.0035489153 0.003483251 0.0035611317 0.0036878786 0.0035794566 0.003483251 0.0037214742 0.004284964 0.0037245285 0.0036374854 0.003952062 0.003735218 0.0036756622 0.0037443803 0.0037245285 0.003674135 0.0035580776 0.0037321637 0.0035794566 0.003738272 0.0035351715 0.0035489153 0.003753543 0.0040452136 0.0037230013 0.0038176798 0.0037947737 0.0037000952 0.003988712 0.0054898234 0.008111806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002290636 1.6837284e-05 6.811447e-05 5.9695827e-05 7.9594436e-05 6.199182e-05 0.00029924448 0.00014541291 2.6786589e-05 9.183973e-06 2.2959932e-06 9.183973e-06 1.5306623e-05 3.8266558e-06 1.22452975e-05 3.44399e-05 0.0027421813 1.4541291e-05 0.00021123138 0.00010561569 0.0001523009 8.724775e-05 0.0008801308 0.00047833196 3.8266558e-06 0.0 3.8266558e-06 5.3573176e-06 7.653311e-07 0.0 1.22452975e-05 4.5919865e-06 0.0028761143 3.2143907e-05 0.000100258374 4.898119e-05 0.00013316762 9.1074406e-05 0.00057935563 0.00032526572 6.4287815e-05 5.0511855e-05 5.8930495e-05 3.9031886e-05 6.046116e-05 3.0613246e-05 4.898119e-05 0.00016301553 0.0039330367 6.658381e-05 0.00016837285 0.00020817007 0.00055409974 0.00032603106 0.0011074342 0.00062680617 9.490106e-05 0.00015306623 8.571708e-05 5.9695827e-05 7.423712e-05 5.66345e-05 9.490106e-05 0.00022730335 0.0016355126 0.00036276694 0.00015383156 4.9746523e-05 3.9797218e-05 4.4389206e-05 3.2143907e-05 5.0511855e-05 8.4186424e-05 0.00012168765 0.00019133277 9.5666386e-05 0.00013699426 0.00028393784 0.0006153262 0.002371761 0.0021000686 0.00015612754 0.00021276205 0.0001744955 0.0003887882 0.00022577267 0.0006107342 0.00036123628 0.00025944726 0.00023801798 0.00020281275 0.00011633033 0.00017526082 0.00011250367 0.0005655797 0.001937053 0.0022133377 0.00018061814 0.0002165887 0.00018367947 0.00025026329 0.00025868192 0.0005364971 0.00037042025 0.00020817007 0.00022806867 0.00017832215 0.00013087162 0.00013622893 0.00012934096 0.00028164184 0.0007668618 0.007977046 0.0011181488 0.0012053965 0.0011265674 0.0014617824 0.0017947014 0.0012107538 0.0014717317 0.0036437414 0.0003688896 0.00058624364 0.0008288536 0.0013990253 0.0005724677 0.0010217171 0.0024260997 0.0056504398 0.001239071 0.0012941749 0.0015237742 0.0015582142 0.0017579655 0.0016814325 0.0016622992 0.0024804382 0.0004400654 0.00076839246 0.00054797705 0.0010615143 0.0005977236 0.000908448 0.0019064398 0.06274797 0.057209264 0.057278145 0.05564799 0.057484787 0.055945706 0.055514824 0.056227345 0.057804693 0.055987798 0.05616612 0.055188026 0.055246193 0.05572146 0.055775035 0.056010757 3247.0 6.698183 21749.0 0.015035174 0.0094717 0.009655616 0.008736034 0.008919951 0.009011908 0.007816452 0.0072647016 0.008782013 0.009379742 0.008184284 0.008276243 0.0070807855 0.007908409 0.0108970525 0.008230263 0.015954757 0.011724677 0.009517679 0.008827992 0.008322222 0.0086900545 0.006896869 0.0068049105 0.007494597 0.009885512 0.008644075 0.007494597 0.008552117 0.0069428477 0.007678514 0.007310681 0.009517679 0.013977654 0.010483241 0.012460343 0.015678883 0.009655616 0.0111269485 0.011678698 0.010069429 0.01158674 0.008230263 0.007954389 0.008736034 0.010851074 0.010989011 0.008092326 0.012644259 0.008919951 0.00997747 0.0138856955 0.010483241 0.008873971 0.009287783 0.009563658 0.008919951 0.00841418 0.00786243 0.00685089 0.008092326 0.009149846 0.008506138 0.011448802 0.00786243 0.0133339465 0.00735666 0.015173111 0.012828176 0.024506874 0.010713136 0.009885512 0.013012093 0.020184835 0.008644075 0.008368201 0.01572486 0.009563658 0.015678883 0.019633086 0.012828176 0.008000368 0.020828543 0.015081153 0.02473677 0.01158674 0.010253345 0.009149846 0.009379742 0.009609637 0.0074026394 0.0081383055 0.007770472 0.0069428477 0.008965929 0.007494597 6.511828 2.0 6.0 0.0 9.0 654848.0 221184.0 1.0 0.0 106.0 0.0 1.0 1.0 0.0 0.0 1096403600.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 5.0 2.0 7.0 10.0 5.0 2.0 4.0 0.0 129024.0 1024.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30720.0 0.0 523776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5134905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6226187 0.0 3.274644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30560.0 0.0 6824.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36128.0 6824.0 114688.0 0.0 0.0 6896.0 556032.0 0.0 0.0 28.0 8656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 452.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.10961309 0.008183395 0.004853881 0.004003005 0.006422831 0.0033589196 0.0034860293 0.0034044515 0.008332321 0.0029491333 0.002866607 0.0029794879 0.0063867853 0.002776492 0.0024976095 0.006876252 0.005932416 0.0027138856 0.0023553227 0.002273745 0.0041367547 0.002915933 0.0025791875 0.002228213 0.0033190793 0.0024757923 0.0021001548 0.0023325568 0.003056323 0.0022671048 0.0022547732 0.002342991 0.0042676586 0.0025232213 0.0023325568 0.0023875744 0.0038853812 0.0023372998 0.002246236 0.0022424418 0.0027376001 0.002246236 0.002252876 0.0031217749 0.0025526271 0.0031217749 0.002372397 0.002160864 0.0037829347 0.002778389 0.0027698518 0.0050644656 0.0029197275 0.0027613146 0.0026892226 0.0027167315 0.0033608167 0.0032232727 0.0030449398 0.004292322 0.0032526788 0.0030999575 0.0027413946 0.0039887764 0.00436726 0.0030079454 0.003380737 0.0031748952 0.003128415 0.013993443 0.006272956 0.0043738997 0.0031028031 0.0022851278 0.002501404 0.0022130357 0.0028210753 0.01019628 0.002411289 0.0040181824 0.0067738057 0.0040627657 0.0030174311 0.0031597181 0.0028163323 0.0074529885 0.004012491 0.0034945665 0.0027053484 0.0037535287 0.0021001548 0.0025241699 0.0024340549 0.004292322 0.003080986 0.0030458884 0.0025526271 0.003195764 0.0023629114 0.002686377 0.0036055504 0.0039290157 0.0040067993 0.0024340549 0.0034613663 0.003040197 0.00440046 0.0023448884 0.0034224745 0.002413186 0.0029121388 0.0030667572 0.0030790889 0.002174144 0.0037298142 0.0034983607 0.0070555336 0.008143554 0.0026721482 0.0023752428 0.0026114392 0.002508044 0.0022547732 0.0022595162 0.0024701008 0.0034404974 0.0024093918 0.002503301 0.0036254704 0.0026541252 0.002162761 0.010051147 0.0035723501 0.006793726 0.0021712983 0.0021760412 0.0032621645 0.011477811 0.0029254188 0.0268429 0.0024947638 0.009384296 0.0020280627 0.002136201 0.0026237706 0.002085926 0.0020508287 0.0022917679 0.0025602158 0.0029149845 0.002041343 0.002020474 0.0024710493 0.0022007043 0.002045137 0.0021115378 0.002506147 0.0022500304 0.0019683023 0.002158018 0.0026512796 0.0026787883 0.0020508287 0.0023714486 0.0024520778 0.002185527 0.0020138342 0.0021124864 0.0026417936 0.0020347028 0.001998657 0.002066006 0.0023875744 0.002066006 0.0019844281 0.0020441886 0.0031682553 0.0020062455 0.002000554 0.0020090912 0.0025450385 0.002221573 0.003103752 0.002555473 0.0033190793 0.0022841792 0.0021694012 0.0020849775 0.0027499318 0.0024957124 0.0024340549 0.002365757 0.0062957215 0.0036055504 0.0033997085 0.004305602 0.0044573746 0.0023856773 0.0036776424 0.004857675 0.003655825 0.00305158 0.002347734 0.0025270155 0.010655393 0.002221573 0.0024757923 0.002514684 0.0032441416 0.0023676541 0.0025763416 0.0022547732 0.0028798871 0.0021731954 0.0024919182 0.0021845785 0.0035685557 0.0024055974 0.002054623 0.002395163 0.0030297625 0.0023581684 0.0021760412 0.0021646582 0.0036776424 0.0024264662 0.0021845785 0.0020489316 0.0032024041 0.0028590183 0.0022073442 0.0021456867 0.012424493 0.003721277 0.0021542239 0.0047125425 0.006100314 0.002142841 0.0021542239 0.0022680534 0.005205804 0.0023828314 0.0021950128 0.0022946135 0.003858821 0.0021371495 0.0032280157 0.0028950644 0.0047618686 0.0027138856 0.0024919182 0.0023553227 0.0065508895 0.0032982107 0.005006602 0.03157821 0.025291828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018671533 5.699781e-06 7.599708e-06 3.799854e-06 4.2748356e-06 7.1247264e-06 5.699781e-06 6.6497446e-06 4.2748356e-06 2.3749087e-06 4.2748356e-06 4.7498174e-06 6.6497446e-06 6.6497446e-06 4.2748356e-06 4.2748356e-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 0.0008411927 4.7498174e-06 6.174763e-06 5.699781e-06 3.6573594e-05 3.3248723e-06 2.8498905e-06 1.5674397e-05 1.899927e-06 1.4249453e-06 2.8498905e-06 1.899927e-06 4.2748356e-06 7.599708e-06 5.224799e-06 3.1348794e-05 0.0016296625 5.0348066e-05 2.992385e-05 5.224799e-06 3.9898467e-05 1.5674397e-05 3.6573594e-05 2.4699051e-05 3.4198685e-05 1.2824507e-05 6.174763e-06 1.2824507e-05 6.174763e-06 9.974617e-06 3.3248723e-06 2.8023924e-05 0.0007889447 2.5174033e-05 2.7548942e-05 1.4249453e-06 2.6598978e-05 1.662436e-05 2.3749088e-05 1.7099343e-05 5.224799e-06 4.7498176e-07 7.599708e-06 8.0746895e-06 1.899927e-06 4.7498174e-06 2.3749087e-06 1.5199416e-05 0.007346543 0.0001586439 0.0002474655 4.037345e-05 0.00057947775 0.00013584478 0.0006749491 0.00031681283 3.799854e-05 0.00019094266 2.8023924e-05 3.0398833e-05 4.322334e-05 2.992385e-05 5.652283e-05 0.0007832449 0.010082913 0.00024034077 0.00062602595 0.000114945586 0.0010782086 0.00024129073 0.0009775124 0.00046548212 8.0271915e-05 0.00016576864 4.9873084e-05 5.5572866e-05 0.00012112035 8.59717e-05 0.000101171114 0.0010777336 0.0064455024 0.00024604055 0.00053482945 0.00015484405 0.0009532884 0.00014439445 0.0011299816 0.00065404986 7.2197225e-05 5.0823048e-05 9.1196496e-05 0.00012397024 0.0001377447 0.00010544595 0.00016101882 0.00066782435 0.0075826086 0.00026218992 0.00073004694 0.0003438868 0.0015945138 0.00060132693 0.00286604 0.0013826719 0.00012397024 8.8346605e-05 0.00021944157 0.00018144303 0.00013251991 8.739664e-05 0.000101646096 0.00023891583 0.00586365 0.00023891583 0.00067399914 0.0005025307 0.001953125 0.00072292227 0.0027952676 0.001668611 0.00014866929 0.00017004347 0.00013156995 0.00011779548 0.00012159533 0.00010497097 0.00010734588 0.00024319066 0.0039988714 0.00081649364 0.00093903893 0.008699291 0.0014268452 0.00077279535 0.0011190571 0.00094331376 0.0008806162 0.00064170035 0.000547654 0.00060560176 0.00067589903 0.00062412606 0.0006208012 0.0010069613 0.012771784 0.0014178206 0.0012686762 0.0018714281 0.0055900603 0.003484466 0.0013650976 0.0013845718 0.011072774 0.0010663341 0.00078989466 0.0011556306 0.0047540925 0.0012425523 0.0037048578 0.009316768 0.03671229 0.005549212 0.0039556483 0.004694245 0.01657164 0.012054563 0.004606373 0.007210223 0.030549401 0.0021117688 0.002080895 0.0038397526 0.016510366 0.0037480812 0.012136259 0.022494186 0.026711075 0.006223211 0.0038858259 0.005450416 0.011432811 0.010545545 0.0042088134 0.0092274705 0.02056671 0.0017560076 0.001875703 0.0034051442 0.009840197 0.0042890855 0.00923887 0.017257512 0.030538477 0.03008107 0.029882528 0.03036226 0.030034522 0.030043546 0.03005352 0.02992385 0.030293861 0.03007347 0.029936675 0.030006973 0.030135693 0.030018372 0.030251589 0.029881103 3813.0 9.206661 35105.0 0.023244552 0.0042728954 0.0047001853 0.0050135306 0.012419883 0.005526278 0.004928073 0.0064093433 0.006950577 0.004899587 0.003988036 0.0062384275 0.006466315 0.0074063526 0.010197978 0.004842615 0.014784219 0.011793192 0.011707734 0.010254949 0.012391397 0.011793192 0.0133884065 0.012135023 0.014100555 0.012790201 0.014328443 0.012476855 0.016208516 0.0111380145 0.011280444 0.017234012 0.028343542 0.009030052 0.004956559 0.007719698 0.009058539 0.006922091 0.0070930067 0.006779661 0.0074918102 0.0060959975 0.004728671 0.004842615 0.007662726 0.0054977923 0.005098989 0.0046716994 0.012875658 0.005042017 0.00601054 0.009143997 0.008830651 0.006466315 0.010910126 0.009913118 0.0079191 0.005668708 0.0050135306 0.0054408205 0.0072924085 0.005668708 0.0052414187 0.01307506 0.0071499785 0.024782794 0.011280444 0.016493376 0.019484404 0.035578977 0.009343399 0.008688221 0.010084034 0.020282011 0.006637231 0.005782652 0.017518872 0.011052556 0.019541375 0.027204102 0.01187865 0.0041874377 0.026321037 0.021165077 0.036718417 0.012220481 0.008175474 0.0051274747 0.009172482 0.009172482 0.004871101 0.0045007835 0.0063238856 0.003988036 0.0041019795 0.0053553623 6.338683 0.0 0.0 0.0 15.0 1054208.0 1073152.0 1.0 0.0 82.0 1.0 1.0 0.0 1.0 0.0 1541587200.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 623104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5834947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5793114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4162726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5282297 0.0 3.42769 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395848.0 0.0 6080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1022136.0 6080.0 1044480.0 0.0 0.0 0.0 0.0 18528.0 1052672.0 28.0 462208.0 0.0 0.0 0.0 0.0 24.0 462400.0 64.0 462240.0 0.0 0.0 332.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.012257709 0.0041904277 0.0039624944 0.004044822 0.004463749 0.0038046306 0.0038400795 0.0038230177 0.0040743076 0.0037375428 0.0037580833 0.0038008208 0.0040145083 0.0038157292 0.0037758078 0.0044521536 0.004062712 0.0037935323 0.0037928696 0.0037527825 0.0038568103 0.0038867926 0.0038041337 0.0038029742 0.0038844736 0.0037892254 0.0037560954 0.0037801147 0.0038478652 0.0037332359 0.0038183795 0.0037844216 0.0040370366 0.0037703414 0.003804962 0.0038071154 0.0044109067 0.0037711696 0.0037574207 0.0037319106 0.0037986673 0.0037295916 0.0037627215 0.003842233 0.0038259993 0.0038631049 0.0038382574 0.0037786239 0.0039050141 0.0037913788 0.0038806638 0.0041092597 0.003848362 0.0038834796 0.0038235148 0.003795023 0.0038496873 0.0039176033 0.003862608 0.004040018 0.0038226864 0.0038834796 0.0038465399 0.0039132964 0.0038968972 0.0038906026 0.0038745347 0.004273252 0.0041221804 0.00416293 0.0039232355 0.003817717 0.0037660345 0.003821527 0.003749635 0.0038028085 0.003913628 0.003928702 0.0038329568 0.0037840903 0.0041248305 0.003886627 0.0037690161 0.0039548744 0.0038274904 0.0039502364 0.0039817095 0.003940463 0.0038135757 0.0039089895 0.0037502977 0.003812913 0.0037887283 0.0039383094 0.0039270455 0.003928205 0.0037953544 0.0038435583 0.0037943604 0.0038541597 0.0039063394 0.0039576907 0.004095842 0.0037986673 0.003947089 0.0038491904 0.0040269317 0.0037302542 0.0039108116 0.0037882314 0.0038896087 0.0039061736 0.0038298094 0.0037796176 0.0039792247 0.0039623287 0.004385231 0.0042059985 0.0038506812 0.0037958513 0.0038081093 0.003832791 0.0038198705 0.0037292603 0.0039104805 0.0038374292 0.0038505155 0.0038114223 0.0037907162 0.0038041337 0.0037779612 0.004379268 0.003930193 0.0041273152 0.0038281528 0.003811091 0.003867743 0.004227699 0.0038019803 0.005147383 0.0038051277 0.004235153 0.0037907162 0.0037892254 0.0037648748 0.003753445 0.0036931487 0.003785084 0.0037701756 0.0037499664 0.0037885627 0.0037739857 0.003755764 0.003749635 0.0037466534 0.0037923728 0.0037584146 0.003768188 0.0038001582 0.0038134102 0.0037199839 0.0037713351 0.0037594084 0.0037552672 0.0037710038 0.0037741512 0.003731745 0.0037353893 0.0037701756 0.0037234626 0.0037998268 0.0037822681 0.0037985016 0.0037663658 0.0037812742 0.0038057903 0.0037469848 0.0037852498 0.003747813 0.0038188766 0.0038072811 0.0037276037 0.0038423988 0.0038586324 0.0038206987 0.0037721635 0.0037224686 0.0038281528 0.0037673595 0.0037615618 0.003763881 0.0038445522 0.0040729824 0.0039356593 0.0038452148 0.0039851884 0.0038357726 0.0038231835 0.0038611172 0.0039017012 0.003914456 0.0039401315 0.0037711696 0.0038374292 0.0038336194 0.0038082749 0.0038377605 0.003885633 0.0037501322 0.0037476474 0.003786078 0.0038157292 0.003794195 0.0037092168 0.003772826 0.003804465 0.0037948573 0.0038480307 0.003764378 0.0038132444 0.003763881 0.0037329046 0.0038147352 0.0038566445 0.0038334536 0.0037701756 0.0037718322 0.0037711696 0.0038051277 0.0037657032 0.0038394171 0.0038153979 0.004478657 0.0038513439 0.0037390336 0.0040229564 0.0038816575 0.0038001582 0.0037890596 0.0038798354 0.0038670804 0.0037968452 0.0038175513 0.003862111 0.0038655896 0.0037604023 0.0039030262 0.0039457637 0.003955537 0.0038790072 0.0038501841 0.0039061736 0.003936819 0.0038887805 0.003959844 0.006080816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013967462 3.5622827e-06 7.4559404e-07 1.0769692e-06 3.6451263e-06 3.4794389e-06 1.6568756e-06 1.7397194e-06 5.053471e-06 1.159813e-06 1.2426567e-06 4.970627e-07 1.0769692e-06 7.4559404e-07 3.3137512e-06 9.941253e-07 0.00026162068 1.5077569e-05 7.207409e-06 3.3137512e-06 8.781441e-06 6.6275024e-06 5.633377e-06 4.225033e-06 3.810814e-06 1.4083442e-06 2.8995323e-06 1.9882507e-06 1.9882507e-06 3.4794389e-06 2.4853134e-06 8.781441e-06 0.0004808253 8.284378e-06 4.2001797e-05 9.6595846e-05 6.113871e-05 1.2509411e-05 6.834612e-05 3.72797e-05 5.799065e-07 2.9823761e-06 2.1539383e-06 1.4083442e-06 1.3255005e-06 2.5681572e-06 9.112816e-07 2.9409543e-05 0.0014221792 4.490133e-05 0.00010562582 0.0001419114 0.0001706582 4.7220954e-05 0.0001491188 9.25365e-05 3.148064e-05 1.4994725e-05 1.5906006e-05 9.278504e-06 2.8332573e-05 1.2012349e-05 8.864285e-06 8.0275626e-05 0.0011186396 3.529145e-05 7.331675e-05 4.1421892e-05 0.00016444491 0.000101566475 0.00038323534 0.0002070266 2.8166885e-05 2.5681573e-05 2.5764417e-05 1.5823161e-05 1.772857e-05 1.772857e-05 1.3503536e-05 0.000105957195 0.0008539537 4.8960675e-05 0.00011299892 8.3423685e-05 0.00016626748 8.7234504e-05 0.00031530342 0.00018499016 3.587136e-05 3.3883105e-05 2.3610477e-05 3.181201e-05 4.0013547e-05 2.0876632e-05 1.9551133e-05 0.00014688203 0.001026103 0.00011167342 0.0001152357 0.0006908343 0.0001239343 0.00011647836 0.00016966407 0.00013221867 9.104532e-05 9.353063e-05 0.00011167342 8.8228626e-05 9.7175754e-05 8.077269e-05 8.4252126e-05 0.00026046086 0.0007518902 8.093838e-05 0.00012940199 0.00014969871 0.0001392604 9.386201e-05 0.00024057835 0.00015972281 0.00019443435 9.924685e-05 7.331675e-05 8.3092316e-05 0.00018043375 7.596775e-05 9.071394e-05 0.00051139464 0.0040290244 0.00058669964 0.00064237067 0.00055977545 0.0009712605 0.0009454961 0.0005076667 0.00080167927 0.002428234 0.00022019877 0.0001805166 0.00034197912 0.00102718 0.0003072676 0.00089156476 0.0015075083 0.0030868421 0.00073838665 0.00068768626 0.000609316 0.0010604833 0.0012071168 0.00055149104 0.00082528975 0.0019583441 0.00019327454 0.00024165532 0.00028291153 0.0009696865 0.0003729627 0.0008728421 0.0016114772 0.058585383 0.05947968 0.059613723 0.059798796 0.059695654 0.0596853 0.059692755 0.059939962 0.059342824 0.059581827 0.059574205 0.05976483 0.059731442 0.05968116 0.05983392 0.060019575 28644.0 5.8924384 168783.0 0.01221687 0.009497402 0.009604048 0.009467778 0.011683641 0.009307809 0.009675145 0.009870662 0.0096988445 0.010048405 0.009141916 0.010048405 0.009716619 0.009823265 0.010332794 0.009592198 0.011055616 0.010048405 0.010463139 0.011304456 0.010682356 0.010640882 0.010344644 0.009989157 0.010344644 0.010895647 0.010800851 0.010356493 0.010421665 0.010143202 0.010036556 0.010392042 0.010522387 0.010160976 0.009527026 0.010362418 0.011422952 0.010226148 0.010220224 0.010397967 0.009965459 0.010652731 0.009290035 0.0098173395 0.010540161 0.009935834 0.010356493 0.009882512 0.011180036 0.009686994 0.009740317 0.011097089 0.010522387 0.010072105 0.010534236 0.010747528 0.010226148 0.009532951 0.009864737 0.009224863 0.010083954 0.009621822 0.009799565 0.010587559 0.010232073 0.01195618 0.010214299 0.01159477 0.011505898 0.014693423 0.011037841 0.009627746 0.010232073 0.011766588 0.010214299 0.009746242 0.011091164 0.010267622 0.011920632 0.012382763 0.010640882 0.0095448 0.012430162 0.01171919 0.013437373 0.010753453 0.010078029 0.01017875 0.01004248 0.010374268 0.00992991 0.009888437 0.010030631 0.009461854 0.009728468 0.009829189 6.579827 2.0 1.0 0.0 97.0 6036854.0 446464.0 1.0 0.0 149.0 1.0 1.0 0.0 0.0 0.0 1529852700.0 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 5.0 1.0 5.0 1.0 190464.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190976.0 0.0 57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.695932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1652994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2392776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.450697 0.0 6.79119 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190668.0 0.0 57440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 2.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 232624.0 60.0 232676.0 57440.0 376832.0 0.0 0.0 0.0 0.0 8144.0 438272.0 84.0 224960.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 203016.0 0.0 0.0 604.0 196608.0 288.0 229940.0 0.0 0.0


Input: 0.23977022 0.06001107 0.022863686 0.0030825003 0.0150597505 0.0027351764 0.008997862 0.002287454 0.0023661447 0.0026619127 0.033370238 0.0017040583 0.0009985564 0.0020486687 0.002083944 0.000729923 0.0017284795 0.005055192 0.003967091 0.003920962 0.0017040583 0.0020947978 0.0035112284 0.003983372 0.0014951212 0.0023064483 0.0014028633 0.0010989548 0.0012129204 0.001256336 0.0013404535 0.0034623859 0.042525478 0.013526641 0.0014354249 0.0007841924 0.0005969631 0.0017284795 0.0013350266 0.0011559376 0.0064661955 0.0012536225 0.0021056517 0.0024692563 0.002200623 0.0011803588 0.0020513823 0.00070278835 0.0037744348 0.002154494 0.0016742101 0.0014924078 0.0011423703 0.0010853874 0.000949714 0.00078147894 0.00076519814 0.0017691815 0.00069464796 0.00084388873 0.0013540208 0.0010473989 0.0015819522 0.00074891734 0.0008113271 0.003508515 0.00207309 0.0023932792 0.002067663 0.0030065232 0.0008927312 0.002200623 0.0017583276 0.00341083 0.0004884243 0.0036496152 0.0023173022 0.0021110785 0.0026130702 0.0021002246 0.0014869808 0.0005101321 0.0023905658 0.005464926 0.002664626 0.0024665429 0.001164078 0.0005426937 0.00086559646 0.0009822756 0.0005589745 0.0007462039 0.0005345533 0.0007679116 0.0005345533 0.0047974125 0.0005264129 0.00891103 0.0035166552 0.0028979843 0.0042709997 0.012053227 0.0010935279 0.0024502622 0.0011884993 0.010235203 0.00068650756 0.002721609 0.0081159845 0.0042031626 0.005383522 0.017078571 0.0066995537 0.000729923 0.010726341 0.009953002 0.008981581 0.004401246 0.0008004732 0.0011667915 0.0007163557 0.0034759531 0.0017501872 0.0116163585 0.0003527509 0.0018261643 0.00089544465 0.00076519814 0.0016307946 0.0019509839 0.0007923328 0.00089544465 0.0004151607 0.0004043068 0.0009334332 0.000909012 0.0004884243 0.00055626105 0.0003364701 0.0004504358 0.0006295247 0.0008086136 0.0005698284 0.0004395819 0.0005752553 0.00083303486 0.00042058763 0.0004070203 0.00032290275 0.0009578544 0.00046400313 0.0004151607 0.0004504358 0.0007434904 0.00035003744 0.00035003744 0.00041787417 0.0004857109 0.00027406032 0.0004070203 0.0006647998 0.0007326365 0.0013920094 0.00049385126 0.00043415496 0.0011722185 0.00043686843 0.00040973377 0.000388026 0.0007923328 0.00035817784 0.0007000749 0.00038259907 0.0016145138 0.013464231 0.000949714 0.0006051035 0.001256336 0.00055626105 0.0006539459 0.00063223817 0.0006837941 0.00069464796 0.0010256912 0.0009171524 0.0007462039 0.002119219 0.013342125 0.00030662195 0.00035817784 0.00052369945 0.00039073947 0.0003717452 0.00053998025 0.0004314415 0.0013567343 0.001598233 0.0011559376 0.0012237743 0.0012807571 0.0011993531 0.0015303963 0.00035546438 0.0009768486 0.00096056785 0.0013078918 0.00060239004 0.00035003744 0.0003446105 0.0004151607 0.0002523526 0.0013350266 0.0004965647 0.00045314926 0.00072720955 0.00038259907 0.00032561622 0.00050741865 0.00033918358 0.00040159334 0.00055626105 0.0004585762 0.0005888227 0.00032832968 0.0002849142 0.0005752553 0.0002252179 0.00037445867 0.00029576808 0.0002767738 0.00027134686 0.00045314926 0.00037717214 0.00046400313 0.00023607176 0.00039345294 0.00026320646 0.00077333854 0.00027134686 0.0007217826 0.00027134686 0.0004043068 0.00040159334 0.00044500886 0.0004992782 0.00041244723 0.00027948726 0.00041787417 0.00039073947 0.0006051035 0.0002686334 0.00043415496 0.00090358505 0.0004504358 0.0017203391 0.1376407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029937914 1.3639141e-06 9.547399e-06 0.0 9.547399e-06 0.0 0.0 1.3639141e-06 4.0917425e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0053601824 0.007897062 3.5461766e-05 0.00023050148 6.81957e-05 7.7743105e-05 4.5009165e-05 0.00019503971 0.00010092965 9.547399e-06 6.8195704e-06 0.00019231188 0.00018685624 1.50030555e-05 4.0917425e-06 2.0458712e-05 0.013261337 0.007861601 5.7284393e-05 0.0014321099 5.4556564e-05 0.00021822625 0.0001254801 0.00010092965 5.8648307e-05 1.7730883e-05 3.682568e-05 0.000317792 0.00034507026 1.3639141e-05 1.3639141e-05 1.9094798e-05 0.011673741 0.036850233 0.0009983851 0.015691832 0.0010543056 0.0042294976 0.0025627946 0.0036539258 0.0016380608 0.00031506416 0.00020458712 0.0008388072 0.0007815228 5.1828734e-05 2.4550454e-05 3.955351e-05 0.01207064 0.064188525 0.0010379386 0.019678554 0.0025955285 0.01536722 0.009267797 0.037165295 0.018045947 0.000222318 0.00020867886 0.0014198346 0.0022804644 0.00043918035 0.00040099074 0.0002414128 0.014591153 0.13041337 0.009056389 0.018429207 0.004683681 0.0065795216 0.004731418 0.021963108 0.019750841 0.0010843117 0.0010242995 0.0074046897 0.008012995 0.005733895 0.0017117122 0.00083062367 0.04350613 0.0954508 0.013774169 0.01699437 0.005382005 0.0032502073 0.0039608064 0.010466677 0.014726181 0.00422677 0.0021222504 0.008619937 0.008359429 0.0046850448 0.0017253513 0.0015289477 0.036570627 0.025067378 0.005032843 0.0037534917 0.0021727153 0.0011020426 0.0014225624 0.0030824458 0.0036921154 0.0016176021 0.0008674494 0.0013148132 0.0010147521 0.00054829346 0.00081698457 0.0005223791 0.0038380544 0.014554327 0.003904886 0.0015439508 0.0013598223 0.001095223 0.0010583973 0.0027482868 0.0023077426 0.0016203299 0.000604214 0.0008769968 0.0008183485 0.00093291723 0.0004951008 0.0003859877 0.0020063177 0.007969351 0.002396397 0.0011538713 0.0012411618 0.00059603044 0.00062740047 0.0020431434 0.0015289477 0.0006751375 0.0003368868 0.0008960916 0.0006560427 0.0004364525 0.0004937369 0.00039553508 0.00090018334 0.0038012287 0.00095064816 0.00054011 0.0006737736 0.0006246727 0.00046918646 0.001190697 0.0006205809 0.00018822015 0.00033279505 0.0004459999 0.00032188374 0.00038325987 0.00018685624 0.00020595103 0.00023732106 0.0011961526 0.00024277672 0.000317792 0.0003859877 0.00027141892 0.00035325377 0.0007051436 0.00053874607 0.00018549232 0.00019776754 0.00017048926 0.00021549842 0.00024004889 0.00018822015 0.00019640363 0.00018140058 0.0019203911 0.0019913146 0.0019026601 0.0019640364 0.0019790393 0.0018194615 0.0021795346 0.0020049538 0.001889021 0.0018931128 0.0018999324 0.0018712902 0.0017580853 0.0018235531 0.0018344645 0.0019954063 1830.0 18.359562 33598.0 0.003958569 0.00020834574 0.00014881838 0.00056550984 0.00014881838 5.9527352e-05 0.00014881838 0.000119054705 8.929103e-05 0.00023810941 0.00020834574 0.00017858206 0.0022620393 0.00041669147 0.008214775 0.00023810941 0.0043454967 0.005536044 0.007173046 0.0036311685 0.0028870767 0.002648967 0.0013096017 0.002113221 0.001011965 0.007083755 0.00017858206 0.00020834574 0.0075004464 0.0018453479 0.0075004464 0.00020834574 0.00023810941 0.006905173 0.010506578 0.011012561 0.006994464 0.0043454967 0.0037502232 0.009941068 0.0057741534 0.011816179 0.00017858206 0.017530804 0.003958569 0.0073813917 0.002381094 0.0021727483 0.0069647003 0.0005059825 0.006548009 0.02476338 0.0076492648 0.0038097505 0.003303768 0.001011965 0.00026787308 0.0012203107 0.0005952735 0.00020834574 0.00044645515 0.00017858206 0.00020834574 0.033454373 0.00083338295 0.06193821 0.02250134 0.01836419 0.02518007 0.09363653 0.004226442 0.016280731 0.005297934 0.06934936 0.0008631466 0.017471278 0.05464611 0.025864635 0.040210728 0.039317816 0.009226739 0.0006845646 0.04565748 0.037829634 0.07012322 0.03092446 0.002648967 0.0043752603 0.0024108577 0.022322757 0.008304066 0.00044645515 5.9527352e-05 0.00035716413 2.9763676e-05 0.00020834574 5.211044 1.0 0.0 0.0 2.0 368532.0 393216.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1506470100.0 0.0 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 -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 48.0 0.0 4.0 0.0 6.0 0.0 333312.0 512.0 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 -333312.0 0.0 33280.0 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 -5.5103426 0.0 2.9752774 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 -333280.0 0.0 33220.0 0.0 0.0 0.0 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 341384.0 33220.0 344064.0 0.0 0.0 912.0 367616.0 12.0 385024.0 28.0 341072.0 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: 0.056891818 0.008314502 0.006175329 0.005653529 0.005750197 0.0049654176 0.004198309 0.0054227724 0.0050516916 0.0056337793 0.003745112 0.004470643 0.0049550235 0.0031765369 0.0043261605 0.0046390328 0.005045455 0.003763822 0.0049342345 0.0041546524 0.004356304 0.003172379 0.0041068383 0.0038365829 0.0050797565 0.0033397293 0.003165103 0.0029218735 0.0041473764 0.0034343186 0.0037866898 0.0037908475 0.006171171 0.0038126758 0.0034956457 0.0030216598 0.004890578 0.0041640075 0.0038417801 0.0037212048 0.0047325827 0.0038937523 0.0033324533 0.0030964997 0.004367738 0.0037180865 0.0037201655 0.0035777618 0.005519441 0.0039488426 0.0031006576 0.0028875717 0.003679627 0.003073632 0.0026879988 0.0028543097 0.0041733626 0.0033054277 0.0035205923 0.0033397293 0.0040091304 0.0032160357 0.003502922 0.0034551076 0.006611895 0.0039530005 0.0036193395 0.0032274695 0.0041546524 0.003217075 0.0035424207 0.0030632375 0.0049976404 0.0037794136 0.0036993765 0.0035819195 0.004136982 0.0031245647 0.0035507362 0.0034655018 0.0051712273 0.0036266155 0.0036453255 0.0033324533 0.003931172 0.0033802676 0.0033615576 0.0035444996 0.0046504666 0.0036442862 0.0038043603 0.0035018825 0.004101641 0.0033802676 0.0036858637 0.0037908475 0.00591235 0.0036255762 0.0033418082 0.002956175 0.0040101698 0.003054922 0.0032607317 0.0030372515 0.0049716546 0.003163024 0.003193168 0.003047646 0.003573604 0.0028304025 0.003082987 0.0031900497 0.0045049447 0.0032877573 0.0032253906 0.003139117 0.003892713 0.0033334927 0.0032960728 0.0036286945 0.004632796 0.0032939939 0.0034800542 0.003165103 0.004040314 0.00318901 0.0034644625 0.0033355716 0.008660637 0.0046005733 0.0040143277 0.003526829 0.004367738 0.0034395158 0.0030143838 0.0033906621 0.004547562 0.0038324252 0.0029572144 0.0031983652 0.0037274414 0.002796101 0.0028397574 0.0029811217 0.005235673 0.0032035625 0.0034925274 0.0030226994 0.003662996 0.003183813 0.0033033488 0.0032628106 0.0045486013 0.0028428757 0.0030466064 0.0026973537 0.003515395 0.0032274695 0.0029769638 0.0031526296 0.0050163507 0.0034104115 0.0032742445 0.0027981796 0.003771098 0.0030175021 0.0030507643 0.003183813 0.00414114 0.0029915161 0.0031193674 0.0030154232 0.0036505228 0.0028314418 0.0029125183 0.0030372515 0.0046712556 0.0031131308 0.0038407408 0.0028522308 0.0035652884 0.0031495113 0.00298424 0.0031214464 0.0042565176 0.0031422353 0.0033355716 0.0031661424 0.0036567594 0.0031973256 0.0033251771 0.0033511634 0.0067324704 0.004062142 0.0037253627 0.0033418082 0.0041193115 0.0032576134 0.0033002305 0.0032295485 0.0043272 0.0033334927 0.0031089731 0.0030767503 0.0036453255 0.0029873583 0.003071553 0.0028002586 0.00425236 0.0032752838 0.003082987 0.0029873583 0.0037170472 0.0030143838 0.0029333073 0.0029416229 0.0039769076 0.003103776 0.0027274976 0.0026339479 0.0035351445 0.0029457805 0.0035850378 0.0028771774 0.004951905 0.003233706 0.0033917015 0.0029665695 0.003808518 0.0030725927 0.0032004442 0.0029042028 0.004444657 0.0054581137 0.0034644625 0.003137038 0.0037877292 0.003073632 0.003237864 0.0031900497 0.004614086 0.003312704 0.0034166481 0.0030351726 0.0037430332 0.0030892238 0.0033137433 0.0032409823 0.0043594227 0.0030341332 0.0031827735 0.002855349 0.004012249 0.0030933814 0.004235729 0.0045319702 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.004600151 0.00029463452 0.0002738123 0.0002654834 0.00030296342 0.00023633229 0.0003232651 0.00030504563 0.00033107342 0.0003477312 0.0003347173 0.0003571012 0.00052628183 0.00015824893 0.00019052338 0.000747518 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09931734 0.061989855 0.0624417 0.05527833 0.060600493 0.0595396 0.054918107 0.05447303 0.06047608 0.05314353 0.05210919 0.052919693 0.056424595 0.050494943 0.05661043 0.053825982 4010.0 5.7054863 22879.0 0.017133616 0.010446261 0.00948468 0.008610516 0.013418418 0.012456838 0.011757507 0.01145155 0.012631671 0.009703222 0.008479391 0.008610516 0.013899209 0.010577385 0.011801215 0.009921762 0.016740242 0.0119323395 0.0087416405 0.007517811 0.009834346 0.008479391 0.007823768 0.008391975 0.010271428 0.008435683 0.009572097 0.008916474 0.011538966 0.008960182 0.009615805 0.009178723 0.018051488 0.0108833425 0.010402553 0.0090913065 0.010839635 0.008829057 0.01070851 0.008348267 0.014248875 0.011626382 0.00974693 0.008960182 0.01145155 0.009353556 0.01167009 0.009572097 0.014860789 0.009615805 0.00996547 0.00900389 0.012107173 0.009397264 0.009572097 0.009878054 0.013680668 0.009266139 0.010533677 0.009528388 0.011145592 0.009834346 0.010402553 0.01070851 0.017964073 0.011014467 0.009703222 0.008173434 0.013112461 0.008260851 0.0094409725 0.008348267 0.015472705 0.009309848 0.008916474 0.008697933 0.011364133 0.007954893 0.009921762 0.007911185 0.013199878 0.007954893 0.008697933 0.0087416405 0.011407841 0.009397264 0.008217142 0.007867477 0.010970759 0.008872765 0.011976048 0.008479391 0.011276716 0.008916474 0.010052887 0.008785349 6.554476 0.0 0.0 0.0 14.0 962054.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0