Input: 0.13912283 0.010051507 0.0046137036 0.0033276104 0.0052567506 0.00244108 0.00309037 0.0017043859 0.00553145 0.0019728423 0.0134290615 0.0012236616 0.0039019822 0.011506165 0.000836585 0.0030716404 0.0038395505 0.0014359294 0.0009801779 0.001311066 0.0016232246 0.002035274 0.00055564224 0.0010301233 0.0012486343 0.0008865304 0.0006055876 0.00073669426 0.0011237708 0.00086780085 0.00079912593 0.0006867489 0.107588574 0.0007304511 0.0064991415 0.0014484158 0.0027407524 0.0017668175 0.0005244264 0.0025035117 0.0047135944 0.003496176 0.0007179647 0.0010488528 0.003496176 0.0047885124 0.006368035 0.0029405337 0.0043452475 0.0028843454 0.002403621 0.0039519276 0.0017418448 0.001567036 0.0012049321 0.0010363664 0.0012611207 0.0030404245 0.005131887 0.0019853285 0.0050007803 0.007129702 0.0050070235 0.0010051506 0.0033962852 0.00244108 0.0007928828 0.0026720774 0.0027782114 0.006261901 0.0021351646 0.0011112845 0.0016107382 0.0022600282 0.00036834713 0.00054315594 0.0019853285 0.002397378 0.0030778835 0.001816763 0.008359606 0.0017293586 0.0056126113 0.005094428 0.0033151242 0.0031590448 0.004807242 0.003895739 0.00086780085 0.0009239894 0.0008802872 0.0014671453 0.0021538942 0.0024972686 0.0014109567 0.0047198376 0.00058685814 0.017493367 0.0033338536 0.011868269 0.014746371 0.03609802 0.010238801 0.0050382395 0.0077727484 0.018754488 0.0045013265 0.008297175 0.014827533 0.007429374 0.01927267 0.018517246 0.010463555 0.00036210395 0.022525363 0.023180896 0.03243952 0.01131887 0.0032839081 0.002803184 0.0024660528 0.00399563 0.0005306696 0.00049945374 0.0033151242 0.0022600282 0.00055564224 0.00019353832 0.0012299048 0.0005306696 0.00064928987 0.0047572968 0.0011799594 0.008191041 0.00054315594 0.0001748088 0.00063056033 0.004669892 0.00034337444 0.007853909 0.00040580615 0.0049383487 0.000218511 0.00023099735 0.0026283753 0.00018729514 0.00015607929 0.00018729514 0.00042453565 0.0003059154 0.00016232247 0.00021226783 0.0004807242 0.00021226783 0.00019978148 0.000112377085 0.000437022 0.00043077883 0.00023099735 0.000218511 0.0009801779 0.0007679101 0.00043077883 0.00054315594 0.00046823788 0.00023724051 0.00019978148 0.00014359294 0.0005306696 0.00023099735 0.00018729514 0.00029342907 0.0004619947 0.00016856563 0.000218511 0.00022475417 0.0006368035 0.00021226783 0.0002871859 0.00023099735 0.00063056033 0.0042266273 0.00025597002 0.00053691276 0.0011175277 0.00019353832 0.00022475417 0.00040580615 0.0006118308 0.0010426097 0.00038707664 0.00039956297 0.005356641 0.0006055876 0.0019665991 0.0011362572 0.001017637 0.00045575152 0.0008303418 0.0018292492 0.0013610114 0.0010800686 0.0002871859 0.00016232247 0.0023224598 0.0003059154 0.00023099735 0.00015607929 0.0008865304 0.006873732 0.00034337444 0.0006742625 0.0007928828 0.00025597002 0.0007179647 0.00082409865 0.0009177462 0.00018729514 0.00019978148 0.00044950834 0.0004869674 0.00015607929 0.00012486344 0.0006430467 0.0008490713 0.0001311066 0.00016232247 0.00020602466 0.0008865304 0.00024972687 0.00024972687 0.0002434837 0.006973623 0.0004619947 0.00014983612 0.0015170907 0.0024098642 0.00018729514 0.00034337444 0.0008490713 0.001348525 0.00029967225 0.00023099735 0.00029967225 0.0035398782 0.0002809427 0.0009302326 0.0011737163 0.0018417356 0.0019728423 0.0004869674 0.0016794131 0.0022850009 0.0014359294 0.0011862026 0.03444982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0056735133 0.0 0.028962953 0.0014774445 0.0011151714 0.0018869707 0.02672946 0.011466734 0.0 0.000107106855 0.0 0.0 0.0 0.0 0.0 0.0 0.029114163 0.0006048387 0.06672442 0.0078061996 0.0043787803 0.00561996 0.05894342 0.032065902 0.000390625 0.0005607359 3.4652217e-05 5.3553427e-05 2.5201613e-05 4.4102824e-05 4.4102824e-05 4.0952622e-05 0.065807715 0.0029832409 0.03530116 0.01296938 0.008779611 0.00953251 0.06438067 0.041330647 0.0018838205 0.00027091734 0.00023626511 0.00032762098 0.00018901209 0.00015751008 0.0005512853 0.00045992943 0.041648816 0.002249244 0.006470514 0.0055254535 0.006650076 0.0054120463 0.025500882 0.014015247 0.0011183216 0.0015215473 0.00065209175 0.0005922379 0.0016601563 0.0018208165 0.00057648687 0.0007150958 0.009982989 0.00067414314 0.001779864 0.0060137347 0.0019594254 0.0017074093 0.0028320313 0.0016916583 0.0011592741 0.0005229335 0.00041267643 0.000390625 0.00082535285 0.00086315523 0.00057963707 0.00086315523 0.007006048 0.0009891633 0.00140499 0.0020822834 0.00064579136 0.001811366 0.0011687248 0.0012569304 0.0028005291 0.00041267643 0.0005985383 0.0019751764 0.0012285786 0.00067099294 0.0010143649 0.0071919104 0.023150831 0.004344128 0.0040543093 0.0043346775 0.0054120463 0.011788054 0.006533518 0.007393523 0.01359942 0.001045867 0.0012317288 0.004615045 0.0072076614 0.0039598034 0.005018271 0.025343372 0.026512098 0.00765184 0.0052387854 0.008067667 0.0066311746 0.013070187 0.011791205 0.010275958 0.015593498 0.001953125 0.0027375252 0.0033297632 0.007935358 0.0069650956 0.008020413 0.01906502 0.0009891633 0.0003937752 0.0005512853 0.00068359374 0.00027721774 0.00037172379 0.000765499 0.00057648687 0.00032762098 0.00024886592 0.00023941533 0.0002047631 0.0001984627 0.00018586189 0.0001984627 0.00023941533 2536.0 29.24724 74171.0 0.22862035 0.00057974143 0.012754311 0.0021841421 0.00021571774 0.0016718124 0.00031009424 0.004543555 0.0072804736 0.006592873 0.00043143547 0.0008763533 0.006107508 0.009235416 0.011001605 0.0056221434 0.0050963312 0.0035863074 0.0029796013 0.0018875302 0.0014965418 0.0011055534 0.00142913 0.00093028275 0.001051624 0.0011999299 0.009612922 0.00079545914 0.008493885 0.013644147 0.008884874 0.00091680035 0.0009976946 0.004031225 0.000903318 0.0044896253 0.0029256719 0.005419908 0.0022245892 0.0016313654 0.0014695771 0.003842472 0.00013482358 0.00067411794 0.002709954 0.0021841421 0.0053255316 0.0028043306 0.0050154375 0.0004853649 0.0045570373 0.005163743 0.005082849 0.0015909183 0.0028312954 0.0022785186 0.00067411794 0.00033705897 0.00033705897 0.0016987772 0.0023054832 0.0016852948 0.00024268245 0.0076444973 0.00022920009 0.035647355 0.0063232263 0.023108762 0.024794057 0.0728317 0.017958501 0.009976945 0.0105027575 0.037089966 0.0013482359 0.0031009424 0.028973589 0.014075582 0.03819552 0.036078792 0.020654973 0.00031009424 0.043359265 0.044977147 0.04836122 0.012228499 0.0060805436 0.0050693667 0.0034784484 0.008008521 0.000566259 0.0006201885 0.00043143547 0.00063367083 0.000121341225 2.6964717e-05 4.928951 30.0 10.0 0.0 3.0 160175.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.15716495 0.021323545 0.010451038 0.00773073 0.015384804 0.005517819 0.003567064 0.0038663198 0.010593165 0.0029341802 0.0019092903 0.0021062482 0.0074271094 0.0015328336 0.0016768692 0.010756296 0.022702796 0.0012488542 0.0012491271 0.0011503753 0.0051610037 0.0031753306 0.0017112413 0.0009896993 0.004709801 0.00096078304 0.0009506896 0.0010775392 0.002742951 0.00079492386 0.00073163543 0.0010578979 0.013728667 0.00065006985 0.00071035745 0.001178746 0.008539293 0.0022982955 0.00058214396 0.00092231896 0.0028021475 0.0013252367 0.0010374384 0.0014201694 0.002845249 0.0013653376 0.001354153 0.0010052485 0.0041494807 0.0023888634 0.002454607 0.008282593 0.0027287656 0.0034996835 0.0040179933 0.0017998996 0.0026638405 0.0025950961 0.0021245254 0.0049059405 0.0030465715 0.002045142 0.0016023963 0.0014299899 0.005338593 0.0032915412 0.0020028588 0.003918696 0.004215497 0.009914997 0.0037738422 0.0029159028 0.002299114 0.0015448366 0.00070026406 0.00097551395 0.0023782244 0.0055914735 0.0014327179 0.0013737943 0.007045742 0.002758773 0.0015633865 0.0035564248 0.0023351228 0.0040032626 0.003597344 0.003419209 0.0013871612 0.00056495785 0.00045774956 0.002499891 0.0013470603 0.0052965824 0.003387565 0.0042864233 0.001707695 0.0045395773 0.0013034132 0.002762865 0.0038401315 0.0070618372 0.002901172 0.001314325 0.0059605646 0.004663153 0.005806163 0.00051339966 0.0033692876 0.0019387521 0.004536849 0.0044397344 0.004397451 0.0007403649 0.0058582667 0.005608387 0.0147238225 0.010866778 0.0019024705 0.0017322465 0.0028801668 0.001459179 0.0006969905 0.00068989786 0.0018157217 0.0022516476 0.00087676226 0.0010096133 0.0049160337 0.0036033455 0.0014133495 0.013375126 0.0057232333 0.013786227 0.002063965 0.0016302213 0.0036434464 0.01390462 0.0015167387 0.049890336 0.0009790603 0.010173607 0.0013863428 0.00065006985 0.0020355943 0.00039582516 0.00027825063 0.0004037362 0.0014144407 0.0008653049 0.00035872505 0.00035354195 0.0009198638 0.00047248046 0.00031671466 0.0005491358 0.0010797215 0.00061215134 0.0003254441 0.00032789927 0.0017562525 0.0010854502 0.0002632469 0.0003562699 0.0010709921 0.00034399415 0.00024742482 0.00026242854 0.001131007 0.00028125136 0.00028043299 0.00032817206 0.0017903518 0.00026297412 0.00026488368 0.0005027607 0.0024848871 0.0006356117 0.00073763693 0.00089940423 0.0016441338 0.0014436297 0.0013293287 0.0010846319 0.0031191348 0.001047259 0.001173563 0.00064052205 0.0012101174 0.0009094976 0.0008546659 0.0008287504 0.009945004 0.0032353455 0.00421577 0.0024003207 0.0039252434 0.0010145236 0.0024963445 0.008057265 0.003234527 0.002502346 0.0008734887 0.0016588648 0.015985498 0.001593394 0.0026810265 0.0021629895 0.0021790843 0.0007032648 0.0016168543 0.0005161276 0.001084359 0.00029843743 0.0017505238 0.0006590721 0.0025716359 0.0013394221 0.00045774956 0.0018885579 0.001550838 0.0016695037 0.0005529549 0.0006547074 0.0029491838 0.0009002226 0.00060424034 0.00044738335 0.0016940553 0.0027885076 0.00047329886 0.0004937585 0.012945747 0.0025481756 0.00051121734 0.004666154 0.0045889528 0.00047002532 0.00060778664 0.000651161 0.004565765 0.0012515822 0.0011852931 0.00072427 0.0026261949 0.0005232203 0.0034754048 0.0017437038 0.005309949 0.0021043385 0.0012788617 0.00171697 0.0050625247 0.0017996269 0.0034854983 0.05149628 0.0005573339 8.188059e-07 0.0 0.0 0.0 0.0 0.0 0.0 2.729353e-07 0.0 1.3646765e-07 0.0 1.3646765e-07 2.729353e-07 0.0 0.0 0.0002586062 1.6103182e-05 5.458706e-07 2.729353e-07 1.2282088e-06 1.3646765e-07 0.0 4.0940296e-07 9.552735e-07 1.3646765e-07 0.0 2.729353e-07 2.729353e-07 2.729353e-07 1.3646765e-07 1.3646765e-07 0.0017937308 8.692989e-05 1.0235074e-05 2.8658205e-06 6.8233826e-06 2.5928853e-06 5.5951737e-06 4.0940295e-06 7.915124e-06 1.7740795e-06 9.552735e-07 4.9128353e-06 7.778656e-06 8.7339295e-06 1.6376118e-06 9.8256705e-06 0.0026905963 0.00015407198 5.731641e-06 1.0917412e-05 1.5420845e-05 3.0978157e-05 4.2304973e-06 2.497358e-05 1.0098606e-05 9.2798e-06 6.277512e-06 6.277512e-06 9.962138e-06 2.5928853e-06 7.2327853e-06 8.5701686e-05 0.024223553 0.0018397204 0.00048050258 0.0003552253 0.00037091906 0.00013319243 0.00011517869 0.00019746869 0.00015243437 0.00011053879 7.683129e-05 8.924984e-05 7.478427e-05 8.993218e-05 0.00021903058 0.0008174412 0.0088903215 0.00068070064 0.0001295078 0.00015584605 0.00025369335 9.893905e-05 7.546661e-05 6.673268e-05 5.4859996e-05 5.4177657e-05 4.121323e-05 4.230497e-05 6.509507e-05 3.780154e-05 0.00013223715 0.00095950405 0.0043101944 0.00044720448 0.000599093 0.00013714998 0.001000035 0.00058612856 0.0016355647 0.00082822214 6.427626e-05 2.265363e-05 4.1349696e-05 4.9674225e-05 2.8931141e-05 3.1114625e-05 6.0045764e-05 0.00021984939 0.0057208603 0.00043601415 0.0067585604 0.00042960016 0.0007182292 0.0005277204 0.016566353 0.009090929 8.242646e-05 4.312378e-05 4.6262532e-05 7.082671e-05 6.809735e-05 5.0765964e-05 7.601248e-05 0.00011913626 0.007680536 0.0007748633 0.0028464422 0.00068138295 0.001071271 0.000774181 0.007778929 0.0042734845 0.00031141916 0.00010385188 9.4435614e-05 0.00013155481 0.00021780237 6.3184525e-05 0.00010917412 0.0015950339 0.008517492 0.0008811716 0.0048669823 0.0015918951 0.0021257566 0.002363756 0.009841092 0.0056452574 0.0005267651 0.00010221427 9.580029e-05 0.00016908342 0.00046030537 0.00011313168 0.00020920491 0.0007796397 0.0052598724 0.0006100104 0.0008821269 0.00050124567 0.0007260079 0.00059418014 0.0012126515 0.0008069332 0.00093848805 0.0001484768 0.00010521656 0.0002311762 0.0009810659 0.00011381402 0.00023608904 0.00062693236 0.013821989 0.002982364 0.0027746602 0.017218396 0.002123846 0.0019145047 0.0021833458 0.002085908 0.0042496026 0.0013721822 0.0014405525 0.001684966 0.0027192545 0.0013779139 0.0019693647 0.0029654421 0.03968438 0.0061347666 0.0036732997 0.0044528027 0.005906047 0.0055920347 0.0033161638 0.0047367923 0.021507848 0.0016902883 0.0014213106 0.0036869466 0.009535814 0.0022947036 0.005620966 0.01629642 0.12012101 0.027533714 0.014932836 0.018872384 0.030532317 0.028046286 0.010594529 0.02416378 0.08498045 0.0056980704 0.005362087 0.011319445 0.042157587 0.011919904 0.023322186 0.053299762 0.020189706 0.0077656917 0.003727068 0.0052196146 0.006751737 0.00677712 0.003193343 0.0055011474 0.015751641 0.0013043578 0.0014368679 0.0025045907 0.009632433 0.003335133 0.005344619 0.01056437 0.0001885983 6.700562e-05 7.150905e-05 9.156979e-05 6.91891e-05 6.345745e-05 0.000118863325 8.092532e-05 5.8271686e-05 4.2032036e-05 4.6262532e-05 5.172124e-05 4.0394425e-05 4.8991886e-05 3.889328e-05 4.0257957e-05 13190.0 27.463837 362248.0 0.10528975 0.0005548685 0.0010683289 0.0031000862 0.004480356 0.008052494 0.000659769 0.003447914 0.008761954 0.0071636005 0.001002076 0.001559705 0.007193967 0.006269186 0.008855811 0.0026998078 0.008372717 0.010067688 0.0066114925 0.006572845 0.006484508 0.005195336 0.004922042 0.0048143812 0.006658422 0.005752965 0.008433449 0.006064906 0.010702613 0.0050131404 0.006067666 0.004030388 0.0025617809 0.0055293613 0.0021753053 0.0041049225 0.007635653 0.0060179764 0.004869592 0.0039116847 0.0028074689 0.005915837 0.00039199664 0.0005907555 0.0053057573 0.0042733154 0.0036577152 0.0047591706 0.007298867 0.00117599 0.005863386 0.01109737 0.0057143173 0.0017142951 0.0019958701 0.0015790288 0.0023464588 0.00078675384 0.0006156004 0.0014189174 0.001601113 0.0010766105 0.0009496257 0.012919326 0.0016784081 0.041924316 0.009899296 0.024463903 0.02849153 0.06633025 0.015514233 0.010092533 0.013236788 0.04250127 0.0019020119 0.0022691637 0.026470816 0.016135355 0.042377047 0.04128111 0.0217917 0.0014410018 0.042738676 0.040309403 0.052306708 0.021650914 0.0064707054 0.004941366 0.008392041 0.007083545 0.0022719242 0.0004527285 0.005736402 0.00037819394 0.00047481284 0.00040579934 5.555637 2.0 41.0 0.0 6.0 3665760.0 3690496.0 1.0 29.0 194.0 1.0 1.0 1.0 0.0 0.0 3649299500.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 6.0 0.0 3488768.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -120832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3488768.0 -4608.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.646398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6470792 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.525265 -5.5739956 3.3744197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -120692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3488437.0 -4520.0 1088.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 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 -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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 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 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 -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 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 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 -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 -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 1.0 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 0.0 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 2.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 885.0 3491648.0 100.0 3556124.0 1088.0 3563520.0 0.0 0.0 23392.0 3642368.0 120692.0 3567616.0 84.0 629824.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 164664.0 0.0 0.0 792.0 3555328.0 0.0 0.0 0.0 0.0


Input: 0.15286162 0.011307655 0.0057957014 0.02345146 0.024278555 0.0033415842 0.0046033566 0.0025205265 0.013043347 0.0010172664 0.00085728086 0.0011802705 0.007966071 0.0026593818 0.0012376237 0.0053730984 0.035543952 0.0009870804 0.00070635113 0.00080596475 0.0053942283 0.004241125 0.0011953635 0.00047391935 0.0019620864 0.0018654914 0.0003833615 0.0006037189 0.0020949047 0.00057051436 0.00051919825 0.000796909 0.003966433 0.00036826852 0.0023031877 0.0006157933 0.011310673 0.0019258633 0.00047693794 0.0003441198 0.0019409563 0.0005101425 0.00047693794 0.0021613138 0.0013945907 0.00056749576 0.0013221444 0.00051617966 0.0050138854 0.0030336876 0.0024752475 0.0066680755 0.0032570635 0.0023514852 0.0028254045 0.0022307413 0.0037732432 0.0026533445 0.002710698 0.0032691378 0.0030216132 0.002411857 0.0022880947 0.004056991 0.012216252 0.0045610964 0.0030035016 0.0018564357 0.007289906 0.01147066 0.0053791353 0.0025658053 0.0028012558 0.0020828303 0.0020526443 0.0005554214 0.0023575223 0.0062816953 0.001630041 0.001355349 0.010634509 0.0021462208 0.0009418015 0.0017779522 0.0032057473 0.0031483942 0.0054304516 0.0030246316 0.0015877808 0.0024812848 0.00085426227 0.001198382 0.0018866216 0.0025627867 0.00371589 0.004443371 0.001294977 0.005376117 0.0013644047 0.0025175079 0.007102753 0.005910408 0.0018262496 0.00092067133 0.005007848 0.004259237 0.005539121 0.00035015697 0.0028555905 0.0011681961 0.0028706833 0.005680995 0.0031755615 0.0005010867 0.0054244143 0.0036464622 0.013912702 0.0065835547 0.0024812848 0.0010655639 0.0019530307 0.0011108428 0.00039241728 0.00037430573 0.0014579812 0.0010595267 0.0012859213 0.00057051436 0.003767206 0.0021673508 0.0018926588 0.011431417 0.0028465346 0.0051104804 0.0011349915 0.00042562184 0.002523545 0.009297271 0.00080596475 0.04082347 0.0010172664 0.011226153 0.00034713838 0.00052523543 0.0031031151 0.0006097561 0.00039241728 0.001898696 0.0011863076 0.00037430573 0.00046486355 0.00026261772 0.0010987684 0.0005010867 0.00026865493 0.00032600822 0.0010806569 0.00037430573 0.00031997103 0.00027167352 0.0010414151 0.0033747887 0.00029280368 0.0021703695 0.0009055784 0.00032298962 0.00067918375 0.00020526443 0.0015243902 0.000446752 0.0003954359 0.0003984545 0.0010836754 0.00029582228 0.00026865493 0.00029884087 0.0015757063 0.00067616516 0.00053429126 0.0005614586 0.0010383965 0.0003441198 0.00051919825 0.00032298962 0.0033174355 0.0003290268 0.0003984545 0.00031997103 0.0013221444 0.00024450617 0.00036223134 0.00027167352 0.0042532 0.0048146583 0.0041898093 0.006985028 0.0051285923 0.0018624729 0.0042773485 0.012708283 0.003984545 0.0014247766 0.00065201643 0.0006610722 0.07802765 0.00047693794 0.0020013282 0.0011229172 0.0018232311 0.00065201643 0.00090859697 0.00056749576 0.0013674233 0.00035015697 0.0010776382 0.00048599372 0.0016028737 0.00027167352 0.00032600822 0.00042864043 0.0010172664 0.00024752476 0.00048599372 0.00028676647 0.0019832165 0.00045882637 0.00040147308 0.00031393382 0.0013764792 0.0018353055 0.00047391935 0.0002746921 0.010543951 0.004238107 0.0003320454 0.001630041 0.0051919827 0.00029884087 0.0003803429 0.00032600822 0.0053881914 0.0016873943 0.00046486355 0.00040751026 0.00442526 0.00034110117 0.0021492394 0.00091161556 0.0023303549 0.0010625452 0.0006067375 0.0003954359 0.0052372613 0.0015575947 0.0017447476 0.045623038 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030459955 0.0039274795 0.0013374661 0.00042155958 0.00019561578 0.00015012374 0.00015012374 0.00018045177 0.00017135336 0.0009341033 0.00014254173 0.00019561578 0.00013192692 0.00010311529 0.00039578078 0.0045810486 0.028955685 0.003452846 0.0010963582 0.00067631504 0.0011570143 0.0006247574 0.00088102923 0.00049889606 0.00017286975 0.0009416853 0.00023807502 0.00019864859 0.00013799252 0.00015770574 0.00015618934 0.004132194 0.023836313 0.0038258808 0.000645987 0.00068692985 0.004073054 0.0013950893 0.0041958825 0.003807684 0.0003336083 0.0007627499 0.0011388174 0.0011357847 0.00095078367 0.0005034453 0.00036090353 0.002036527 0.006224828 0.0005777489 0.0004336908 0.0009720133 0.0019485758 0.001084227 0.003909283 0.0021441916 0.0001091809 7.1270864e-05 0.0002213946 0.00013495973 0.000115246505 0.0003229935 6.520526e-05 0.0002987311 0.008685947 0.0011736947 0.0016255823 0.0018909526 0.007516802 0.0034467804 0.01482434 0.009092343 0.0006566018 0.00013799252 0.0005504537 0.0005277077 0.001937961 0.00014254173 0.00017438616 0.00041094478 0.011326002 0.0031541148 0.0024990295 0.027906334 0.0038016182 0.003052516 0.004370269 0.0042550224 0.0045567863 0.0018439441 0.001998617 0.0020350106 0.009018039 0.0019318954 0.0021426752 0.0030646473 0.043648098 0.010830139 0.005519701 0.0057365466 0.012387483 0.010545055 0.00853734 0.0075228675 0.022097 0.0015588606 0.0022078804 0.0014254173 0.038957868 0.0018272637 0.0046841637 0.011955309 0.09591239 0.027001044 0.013912983 0.01034489 0.03320464 0.025269313 0.013459579 0.014076754 0.06124139 0.005361995 0.0059761377 0.0051057236 0.07696647 0.0056076525 0.019432684 0.043648098 0.011973506 0.0042231777 0.0029782124 0.0033375996 0.003290591 0.003493789 0.003574158 0.0033375996 0.0062763854 0.00090529164 0.0011342682 0.0013132036 0.0048160907 0.0012601296 0.0026749321 0.0044172774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1466.0 24.498636 35915.0 0.016678268 0.00052902685 0.0010302102 0.00077961857 0.011722121 0.0013643325 0.0015870807 0.000696088 0.003536127 0.00091883616 0.0006682445 0.00075177505 0.0028957261 0.0027008215 0.0091883615 0.0024502296 0.015480997 0.011722121 0.010691912 0.009355422 0.011109564 0.008130307 0.0112209385 0.008380899 0.010469163 0.007963247 0.013643324 0.0074620633 0.009717388 0.007963247 0.008798552 0.025448976 0.07077823 0.013281358 0.005735765 0.009550327 0.014172351 0.006654601 0.0029235696 0.0018098288 0.0032298483 0.0077961856 0.0011415842 0.0011415842 0.0031184743 0.008269525 0.0018376723 0.0039259363 0.008965613 0.003424753 0.0030071002 0.005206738 0.0038424057 0.005206738 0.011527217 0.0020047333 0.0071557844 0.0008631491 0.0058471393 0.00052902685 0.006598914 0.0005847139 0.0006682445 0.020548517 0.0021717944 0.0474732 0.0107475985 0.02135598 0.017903384 0.04649868 0.0074899066 0.0065153837 0.010329946 0.03733816 0.0014757066 0.0018655158 0.020325769 0.009244048 0.024780732 0.050508145 0.019295558 0.00089099264 0.03561186 0.028344702 0.06629542 0.016678268 0.018098287 0.0032576919 0.0076848115 0.0060977307 0.0010023667 0.00047333984 0.002255325 0.00036196577 0.0006404009 0.0005847139 5.7325277 0.0 19.0 0.0 4.0 331280.0 344064.0 1.0 68.0 195.0 1.0 1.0 1.0 1.0 0.0 1541738900.0 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 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 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 14.0 0.0 6.0 0.0 6.0 0.0 224768.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68608.0 0.0 0.0 0.0 0.0 0.0 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 -225280.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.641778 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8299685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8583584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9607034 0.0 4.8870625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -19396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68590.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224590.0 0.0 436.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -2.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 6872.0 282752.0 300.0 289624.0 436.0 319488.0 0.0 0.0 7184.0 324096.0 19396.0 323584.0 84.0 239856.0 0.0 0.0 0.0 0.0 24.0 240036.0 64.0 239944.0 0.0 0.0 836.0 229376.0 0.0 0.0 0.0 0.0


Input: 0.4375112 0.0054703928 0.0038696663 0.0051381523 0.003879372 0.0019143014 0.0013827169 0.0012005448 0.0061662304 0.0011034858 0.0012027846 0.0010258385 0.0025093476 0.000865318 0.0007033042 0.0027355696 0.0027646872 0.00062043074 0.0007861776 0.00077945815 0.0013640517 0.0015193461 0.0005614488 0.0005315845 0.0011990515 0.0005905665 0.0004972405 0.0006525349 0.0010855672 0.00050619984 0.0006540281 0.000646562 0.0027430356 0.00045991017 0.00057339447 0.00054054376 0.0030058415 0.00092131353 0.0004987338 0.00053905055 0.0013453866 0.0008339605 0.00075332687 0.0014640972 0.0025302526 0.0011191645 0.0008787569 0.00069434487 0.0032231042 0.0018583059 0.0018500931 0.0056227003 0.002063623 0.0015559299 0.0018792108 0.001779912 0.002664642 0.0016193915 0.0015828077 0.0022622205 0.0020053876 0.0018000705 0.0012386217 0.0012251828 0.003912223 0.0017209301 0.0016641879 0.0019926953 0.003288059 0.016420884 0.003270887 0.0010930332 0.0013849568 0.0019180344 0.0014193007 0.0014827623 0.0025436915 0.003343308 0.0018187356 0.0028520403 0.007597477 0.001793351 0.0010489834 0.0023995962 0.0016417897 0.007258517 0.001928487 0.0013894364 0.0016962921 0.0030640769 0.0018224687 0.0015760883 0.0013058163 0.0020404782 0.0011736669 0.00093475246 0.0010736214 0.0013386671 0.00071077025 0.001032558 0.0043392824 0.0023757047 0.0013110426 0.00081902836 0.0048768395 0.0016529888 0.004311658 0.0007458608 0.0020882608 0.0009683498 0.0015798213 0.001529052 0.0013341875 0.0006495484 0.0016582151 0.0013185086 0.0042168386 0.004471432 0.0010303182 0.0008473994 0.0012647529 0.00090712804 0.0005942995 0.0005241184 0.0012998435 0.0012363818 0.0007757251 0.0005808606 0.0022614738 0.0015977399 0.0005114261 0.00491641 0.0025623566 0.009256438 0.0005136659 0.000483055 0.0012214497 0.0052381977 0.0008556121 0.024380466 0.0012162235 0.016774775 0.000562942 0.00050396 0.0013886897 0.0004218332 0.0004987338 0.0004128739 0.0010243454 0.0023338948 0.00046886946 0.00048604142 0.0013326942 0.0006749331 0.00046065677 0.0004711093 0.0011378297 0.0005509963 0.0004218332 0.00047558892 0.00100792 0.0018702516 0.00032701404 0.000667467 0.0012207031 0.00043900515 0.00041586033 0.0004218332 0.00092504657 0.00041810016 0.0004733491 0.00040839426 0.001167694 0.00036807745 0.00044721784 0.00048753465 0.0013662915 0.00063386967 0.00050396 0.0006838924 0.0010773545 0.0008929425 0.00043751195 0.0005054532 0.0042929924 0.0017007717 0.0050903694 0.0005942995 0.001150522 0.00074810063 0.0006525349 0.00058310037 0.0067008017 0.000827241 0.0009459516 0.0038196435 0.0018493466 0.0004128739 0.0016724006 0.0013565856 0.0017784189 0.0013244816 0.00043900515 0.0007242092 0.0012356353 0.00035463853 0.0005435302 0.00071748975 0.0016865862 0.00057339447 0.0012416082 0.00065178826 0.0013633051 0.00042855265 0.0006532815 0.00055696914 0.002696746 0.0005233718 0.00052113197 0.0013640517 0.0014962013 0.00050619984 0.00058011396 0.00041735356 0.0021868132 0.0005480098 0.00045692374 0.0007540735 0.0019620843 0.0010512233 0.00045543053 0.00043975178 0.02515619 0.001751541 0.0005636886 0.0023883972 0.0031260452 0.0005166523 0.00048454822 0.00046961606 0.0030633302 0.0005300913 0.0006129647 0.0005726479 0.0027743932 0.00044721784 0.00084068 0.002002401 0.004266115 0.00076153956 0.0023883972 0.005406931 0.009062321 0.00584071 0.006756797 0.06817347 0.34736037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.4943573e-05 1.04605015e-05 3.7358932e-06 2.0921003e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 1.4943573e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 8.9661435e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020521262 1.681152e-05 3.175509e-05 5.9774293e-06 2.727202e-05 1.2328448e-05 3.6238165e-05 1.718511e-05 2.3909717e-05 1.4943573e-06 7.4717866e-07 7.4717864e-06 1.1581269e-05 5.60384e-06 2.2415359e-06 4.2589185e-05 0.0019363135 1.9426645e-05 3.1381504e-05 9.7133225e-06 2.5030486e-05 1.4943573e-05 4.483072e-05 2.204177e-05 1.120768e-05 1.4943573e-05 7.845376e-06 1.9800234e-05 1.643793e-05 1.1954859e-05 2.9887146e-06 0.00010647296 0.0023584694 3.250227e-05 3.9974057e-05 4.1468415e-05 0.00018978337 5.566481e-05 4.333636e-05 3.6985344e-05 2.3162538e-05 1.1954859e-05 1.083409e-05 2.0547413e-05 2.1294592e-05 2.204177e-05 8.9661435e-06 0.0001434583 0.0022740383 3.8479702e-05 3.324945e-05 4.445713e-05 0.00010273707 7.247633e-05 0.00017185109 0.0001120768 8.443119e-05 1.083409e-05 6.724608e-06 1.643793e-05 3.6985344e-05 1.8305876e-05 9.7133225e-06 2.764561e-05 0.001097979 3.5490986e-05 4.968738e-05 2.6898431e-05 6.3883774e-05 1.3449216e-05 2.3909717e-05 7.247633e-05 3.175509e-05 1.083409e-05 1.2328448e-05 6.3510183e-06 6.3510183e-06 6.3510183e-06 3.5490986e-05 3.6985344e-05 0.003314858 2.8766379e-05 8.667272e-05 0.00033324168 0.00095041125 0.00051144377 0.0023476353 0.0012657206 7.3223506e-05 1.5690752e-05 2.0173824e-05 3.287586e-05 6.4630956e-05 2.727202e-05 3.8479702e-05 7.02348e-05 0.0027798782 0.00013449216 0.0004759528 0.0015190142 0.002448878 0.0014080582 0.0021720484 0.0014745571 0.00014756779 5.1181738e-05 5.566481e-05 8.517837e-05 8.0321704e-05 5.043456e-05 5.1181738e-05 7.247633e-05 0.0032887068 0.00011618628 0.00023162538 0.00036835906 0.0009037126 0.00046138282 0.0006373434 0.00043112208 0.0006384642 0.00023311975 7.733299e-05 0.00012888832 0.00014868854 9.414451e-05 0.00024395384 0.0011783007 0.0060144146 0.0011013413 0.0013456688 0.013452578 0.0014069374 0.0011230095 0.0019762875 0.0015780414 0.0022665665 0.0011151641 0.0011734441 0.0012821585 0.0011304813 0.0011420626 0.0017670775 0.0057360907 0.012537284 0.0012287353 0.0021884863 0.0022109016 0.0042167027 0.0026457596 0.0023528656 0.0017132807 0.009471237 0.001998703 0.0011069452 0.0023719186 0.0019714308 0.0012533922 0.0035330344 0.016529087 0.043313947 0.0049721003 0.006194111 0.006474303 0.018339127 0.0135695115 0.008589192 0.006963705 0.030468825 0.0046691196 0.0034844677 0.007966792 0.009095032 0.0055754473 0.017738022 0.047475357 0.04617153 0.006783635 0.007942135 0.009505607 0.02115487 0.018525548 0.012097944 0.008757307 0.029351793 0.0041644 0.004877582 0.008718081 0.011852869 0.006824356 0.018595409 0.041754212 0.00042850696 0.00023984435 0.0002491841 0.00025927098 0.00030335452 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3889.0 14.869375 57827.0 0.015995989 0.001279679 0.0023172568 0.0015217805 0.0025247722 0.0012105072 0.001729296 0.0028014595 0.0054299897 0.004772857 0.0014871946 0.006813426 0.0028360453 0.0019368115 0.009701351 0.0062946375 0.01712003 0.017050859 0.019143308 0.017569648 0.013696024 0.013488509 0.015183219 0.015736593 0.016341846 0.013246408 0.010185554 0.015356149 0.0104449475 0.012122365 0.009614886 0.0072284574 0.0030954399 0.011984021 0.0063811024 0.010237432 0.011620869 0.011465233 0.0085081365 0.009856987 0.006882598 0.011655455 0.005966071 0.005654798 0.009614886 0.009199855 0.009355491 0.0076089026 0.011880264 0.027357463 0.008041226 0.017258374 0.011067495 0.008196863 0.009441956 0.011811092 0.0071938713 0.0092344405 0.006398395 0.0050841304 0.0044269976 0.0048766145 0.0045999275 0.004669099 0.0024728933 0.020924482 0.0071938713 0.016030574 0.017932799 0.04406246 0.0097186435 0.010669757 0.013177236 0.021512443 0.006502153 0.008905875 0.026008612 0.011759213 0.022688363 0.024728933 0.009908866 0.005066837 0.024798105 0.018918497 0.030331852 0.012606568 0.009874281 0.008681066 0.006813426 0.0099607445 0.0059487782 0.003043561 0.0015390734 0.003008975 0.0015736594 0.0008300621 6.255814 0.0 0.0 0.0 66.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.662023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.664191 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3481092 0.0 0.0 0.0 0.0 0.0 0.0 -3.8830268 6.7841635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6848.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16429494 0.02478318 0.010510338 0.0066133314 0.011179811 0.004367509 0.0048382645 0.0026832053 0.012406759 0.0028528492 0.003145112 0.0020430586 0.007154877 0.0025471868 0.0019138664 0.007856207 0.0087198485 0.0029623213 0.0012567807 0.003529908 0.004022659 0.00630868 0.0018329632 0.0013938105 0.0034348466 0.001159444 0.0010173578 0.0014269303 0.002831612 0.0014769891 0.0010694392 0.0014190928 0.008868002 0.0010605904 0.0019055232 0.0012560223 0.005808597 0.0016792471 0.00087426027 0.00088690134 0.0024248208 0.000840382 0.00106413 0.0023024546 0.001726272 0.0015980911 0.0019619027 0.0012914174 0.0063966624 0.0025416247 0.0023262198 0.00613221 0.0024637554 0.0016817753 0.0015336213 0.0016180641 0.0031671077 0.0028662488 0.0025163426 0.0041202484 0.0021034833 0.002220793 0.0018635547 0.002055447 0.0041172146 0.004455491 0.0014974677 0.0027183476 0.003885882 0.009107425 0.0032829002 0.0018435818 0.012334199 0.003059658 0.0009503598 0.0011255658 0.004056537 0.0051644053 0.0020802235 0.0013647359 0.010848109 0.004814499 0.0046453606 0.0057340143 0.0023236917 0.0068208985 0.007214796 0.0056708087 0.001705035 0.0011091323 0.00085934374 0.002565137 0.003145112 0.0056455266 0.0038762747 0.0034507744 0.0015927819 0.0043707956 0.0014524653 0.0038161029 0.0035812308 0.0088333655 0.0039235526 0.0018681055 0.007225162 0.0054331557 0.0072726924 0.0011205093 0.004247924 0.0022726215 0.004618056 0.005311801 0.0036305313 0.0008120659 0.0065172585 0.005559061 0.016295422 0.009192879 0.0018314463 0.0021932353 0.0021909599 0.002049885 0.00077919895 0.0007197857 0.0015801407 0.0026943295 0.0012888892 0.00090813846 0.0040203836 0.0028111334 0.0018569813 0.011602278 0.0038214123 0.009658831 0.0029281904 0.0012643654 0.0028070884 0.013472153 0.001423138 0.039277747 0.0011538819 0.008788111 0.0012251779 0.0009432808 0.0021148603 0.0009819627 0.00068236794 0.00077439536 0.0010969968 0.0009996602 0.0010871368 0.00075492804 0.0012775122 0.0006990542 0.00058452564 0.00063509017 0.0011205093 0.0006272526 0.00097564206 0.0006828736 0.0017209628 0.0012340266 0.0007152349 0.00073975866 0.0014802758 0.00068641314 0.0006401466 0.00065632723 0.0013002661 0.0006361014 0.00061815104 0.0005933744 0.00095946144 0.0005400289 0.0006012119 0.00063989375 0.0015331157 0.00064950105 0.00063104497 0.0005830087 0.0011857376 0.00091724005 0.0014815399 0.0012775122 0.003401474 0.0014504427 0.0012009069 0.00086692837 0.0011245545 0.0007119482 0.0013950747 0.00088007515 0.009251028 0.003180507 0.005096143 0.0027572822 0.0030497978 0.0007304042 0.0020635372 0.0051355837 0.0020400248 0.002281976 0.0009776646 0.0010727259 0.032915723 0.0007119482 0.001019886 0.0010722203 0.0022882966 0.0017376491 0.0018481326 0.0015088448 0.0011814396 0.00060626835 0.0010787937 0.0013763658 0.0020286478 0.0012497017 0.0008042284 0.0016420822 0.0014104968 0.0007187744 0.00070916716 0.0007804631 0.0021689644 0.00092684734 0.0008613663 0.0006763002 0.0013374311 0.0017487733 0.00071700464 0.0006355958 0.010964407 0.0014908944 0.00100143 0.003323099 0.0050814794 0.0007073974 0.00092710013 0.000918757 0.00351398 0.0010224142 0.0009313981 0.001162225 0.0021363501 0.000863136 0.0027539956 0.001925749 0.0049262466 0.0019282773 0.0012593089 0.0014413411 0.003979932 0.0015376665 0.0026730923 0.03406657 0.004144004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00023813354 1.1381847e-05 6.323248e-07 6.323248e-07 6.323248e-07 6.323248e-07 6.323248e-07 7.5878984e-07 7.5878984e-07 7.5878984e-07 7.5878984e-07 7.5878984e-07 6.323248e-07 6.323248e-07 6.323248e-07 6.323248e-07 0.00046045895 1.2014172e-05 3.0351594e-06 1.7705095e-05 2.1499045e-06 2.2763695e-06 2.7822293e-06 2.1499045e-06 1.7705096e-06 2.5292993e-06 2.0234395e-06 2.0234395e-06 1.8969746e-06 1.5175797e-06 2.0234395e-06 1.6440446e-06 0.0008722289 2.7063503e-05 2.415481e-05 8.346688e-06 1.5681657e-05 1.1255383e-05 1.707277e-05 9.231942e-06 1.5681657e-05 6.9555736e-06 4.173344e-06 2.2763695e-06 2.6557643e-06 3.920414e-06 7.208503e-06 8.093758e-06 0.0031244436 7.8534744e-05 0.00011230089 7.0188056e-05 8.283456e-05 4.5653855e-05 0.0002534358 0.00015529899 5.0206592e-05 4.0215862e-05 2.4281275e-05 1.3152357e-05 2.7695829e-05 2.0234394e-05 1.2267102e-05 3.3260287e-05 0.008534742 0.00034815806 0.0009964175 0.00018362714 0.0004282104 0.0002509065 0.003393308 0.0017554603 0.00026481765 6.247369e-05 6.854402e-05 6.550885e-05 8.422567e-05 0.0001635192 0.0001292472 0.00036485144 0.014547518 0.0005642867 0.0033929287 0.00054202887 0.0010459918 0.0011064421 0.010374807 0.005724943 0.0003632074 0.000101804304 0.0002458479 8.801962e-05 0.0001418937 0.00015112564 0.000101804304 9.838975e-05 0.01677406 0.0004508476 0.0014305718 0.00066735566 0.0018976069 0.0020014346 0.007030567 0.0043342076 0.0002306721 0.00013544399 0.00010711583 0.000109012806 0.00041164347 0.00011938293 0.00013607631 0.00016503679 0.018417852 0.0012253191 0.0019435136 0.0013922529 0.0028888392 0.0026370476 0.009561384 0.00571179 0.00037673913 0.00023724828 0.0002830286 0.00025836795 0.0007920501 0.00029845734 0.00037825672 0.0004768994 0.00923814 0.00081089337 0.00068961346 0.0007844622 0.00096480123 0.00085907656 0.0021005832 0.001452956 0.0005846476 0.00034954917 0.00044199507 0.00038748866 0.00061765494 0.0003267855 0.0003686454 0.00074272876 0.011473155 0.0016383537 0.00145675 0.011767186 0.001825016 0.0016575764 0.0022673905 0.0017825237 0.0023033065 0.0012066023 0.0015677862 0.0012291131 0.0018773725 0.0011238942 0.0012689495 0.002175071 0.024223985 0.0034995386 0.0017342141 0.0025188029 0.0035291314 0.0045136614 0.002483772 0.0024749194 0.00984163 0.0013828945 0.0009771949 0.0016229249 0.006064754 0.0012449211 0.0020130693 0.004912658 0.1254157 0.025449052 0.014315961 0.016017169 0.036884394 0.046038434 0.017266262 0.023357827 0.07753327 0.0064212587 0.0045135347 0.009692023 0.05254885 0.011129044 0.02087848 0.045043282 0.02469279 0.0064097503 0.0060283323 0.0078085796 0.008254495 0.00818456 0.008331892 0.008112095 0.012479817 0.0024218042 0.0026544998 0.0029169146 0.007998151 0.003437065 0.0053693233 0.009220055 0.0068229116 0.003347022 0.003427833 0.0038399824 0.003241297 0.003144172 0.0038746337 0.0033858467 0.003047047 0.0027265847 0.0028713872 0.0029043944 0.0028100517 0.002954601 0.0028311713 0.002902118 21069.0 16.112392 339472.0 0.05423422 0.0011724089 0.0031195504 0.0013992317 0.0049282415 0.004742659 0.0015288448 0.0016967526 0.0027896261 0.0019795448 0.0011458972 0.0013079135 0.0028573785 0.0042683934 0.012224867 0.007676627 0.02006351 0.011992153 0.009738653 0.008192134 0.0067575527 0.0063333646 0.005694137 0.005299406 0.006604374 0.0062626665 0.008516166 0.0055085546 0.005467314 0.0051314984 0.0051285527 0.004878164 0.0030046662 0.014269218 0.002851487 0.012425178 0.00825694 0.0066279396 0.005075529 0.0033787764 0.0058620446 0.007691356 0.0010634161 0.0018469859 0.0054142904 0.0048133573 0.0045718057 0.0037381581 0.011028892 0.0034966066 0.009176015 0.016702408 0.007750271 0.0035997077 0.0074144555 0.010528115 0.0019677617 0.0016024886 0.0022652824 0.0014522553 0.005576307 0.0021121034 0.0025009427 0.004919404 0.0018145826 0.033599235 0.007060965 0.029640147 0.02064677 0.06977011 0.010383773 0.01268735 0.01594535 0.043473393 0.0040504076 0.0043597114 0.026196564 0.014855422 0.035531648 0.044472005 0.015742093 0.0013550455 0.04462518 0.03623863 0.0569178 0.017038224 0.006439412 0.010984706 0.0051285527 0.011444243 0.0016496206 0.00092496583 0.0022210963 0.00085721357 0.0015023331 0.0008189188 5.7776794 25.0 632.0 0.0 67.0 3955344.0 3911680.0 1.0 0.0 479.0 1.0 1.0 1.0 0.0 0.0 1543512300.0 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 -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 6.0 1.0 9.0 0.0 4.0 0.0 4.0 0.0 1832960.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1832960.0 0.0 1944576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.944027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.400502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4383297 0.0 6.731842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79238.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1832700.0 0.0 1944480.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -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 3.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 2.0 -1.0 -1.0 1.0 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 -1.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -3.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 -2.0 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 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 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 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -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 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -2.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 2.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 1826828.0 1944480.0 1884160.0 0.0 0.0 75408.0 3879936.0 62180.0 3829760.0 28.0 6112.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 195152.0 0.0 0.0 1948.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.06077575 0.003955284 0.003169466 0.0034255844 0.0042375964 0.0038388665 0.0031461825 0.0030268547 0.0036118524 0.00319566 0.0034837932 0.0031258094 0.004094985 0.0036205838 0.0033470027 0.0030210337 0.004089164 0.0035390914 0.0036875238 0.003841777 0.0039232695 0.0036904342 0.0035565542 0.0035245393 0.0030035712 0.003934911 0.0028318553 0.0030355859 0.0039669257 0.0028580492 0.002869691 0.002936631 0.0033528237 0.003640957 0.003454689 0.004208492 0.002837676 0.003495435 0.0029540937 0.003908717 0.0034663307 0.002837676 0.003972747 0.0033702862 0.0035158081 0.003381928 0.0029657355 0.0029337206 0.0037195387 0.003341182 0.003149093 0.0036642402 0.0030879737 0.0037922997 0.003448868 0.00346342 0.0033906593 0.0035827481 0.0033615548 0.0030734215 0.0034110323 0.0029773773 0.002837676 0.0033033462 0.006318559 0.0045169983 0.0060333363 0.0029948398 0.0057364716 0.01211615 0.0032334956 0.0044587897 0.0049768477 0.0047760275 0.0030181233 0.0029657355 0.0031199886 0.0045111775 0.0044762525 0.004688714 0.005631696 0.003774837 0.0035798377 0.003236406 0.003050138 0.0036729716 0.0036729716 0.0034197636 0.0044617 0.0042492384 0.0031578243 0.0034139426 0.0032946148 0.0041590147 0.0030937947 0.0031403617 0.004080433 0.0035594646 0.003902896 0.0043860287 0.003521629 0.0034168533 0.0031374511 0.0038475979 0.003422674 0.0033440923 0.0037253594 0.0037457326 0.0036584195 0.0031083468 0.0032247643 0.003702076 0.0030530486 0.0028143928 0.0031432721 0.003521629 0.004287074 0.0029802877 0.0033295401 0.0038010308 0.004400581 0.0028580492 0.0042667007 0.003023944 0.0046508787 0.0043365513 0.0037428222 0.0032334956 0.0045984904 0.0040717013 0.003562375 0.0035332707 0.0031374511 0.0041299104 0.002989019 0.0030384962 0.0036933448 0.0039465525 0.0031461825 0.006973407 0.003341182 0.004549013 0.0031461825 0.0028784224 0.0040309555 0.0036234942 0.003961105 0.005311548 0.0039931196 0.004295805 0.003888344 0.002916258 0.0029249892 0.002910437 0.002942452 0.0034197636 0.003023944 0.002942452 0.0036933448 0.003943642 0.0034925246 0.0042928946 0.003268421 0.0034255844 0.0029540937 0.0033702862 0.0032771523 0.003754464 0.0029948398 0.0029657355 0.0033528237 0.0032917045 0.003987299 0.00279693 0.0028085718 0.0036642402 0.0035128975 0.002724169 0.0028813328 0.002843497 0.0037864787 0.0036438673 0.0034110323 0.0034081219 0.004127 0.0029715563 0.003050138 0.0035449124 0.0031432721 0.0037195387 0.003122899 0.003314988 0.0035303603 0.0031607347 0.0033295401 0.0033033462 0.0034314054 0.003349913 0.01032041 0.003821404 0.0030326755 0.0039116275 0.0037370012 0.0038301353 0.005713188 0.0029220788 0.0028929745 0.0030792425 0.0030035712 0.0031898392 0.0035827481 0.0032626 0.0038534186 0.0027823779 0.0035536438 0.0029657355 0.0030676008 0.0045286403 0.0038970753 0.003341182 0.0043976703 0.0039320006 0.0035187185 0.0033382713 0.0045024464 0.0037399116 0.004316178 0.003521629 0.0038563292 0.0037253594 0.003955284 0.0044617 0.0045373715 0.003495435 0.0028609596 0.0043190885 0.005465801 0.003009392 0.0043772976 0.0033382713 0.0035303603 0.0040775225 0.0030996155 0.003242227 0.003707897 0.0037922997 0.0032858835 0.004269611 0.004001851 0.0039407318 0.0038708814 0.0037661057 0.0041590147 0.0030792425 0.003702076 0.007506017 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.05042308 0.05227387 0.05143619 0.051646706 0.056870148 0.052012186 0.051811904 0.05441266 0.05048448 0.0547796 0.0515356 0.051200822 0.05000351 0.053671464 0.058353994 0.053395163 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343591.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 2.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 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 0.0 916.0 32768.0 0.0 0.0 0.0 0.0