Input: 0.43754777 0.0055032433 0.0038659333 0.005142632 0.0038987838 0.0019090752 0.0013849568 0.0012012913 0.0061684703 0.001101246 0.0012050244 0.0010265852 0.002506361 0.0008660646 0.00070106436 0.002734823 0.0027646872 0.00062043074 0.0007802048 0.00076825905 0.0013558391 0.00151188 0.00055547594 0.0005300913 0.0011968117 0.0005890732 0.0004957473 0.0006525349 0.0010863137 0.0005069464 0.0006555213 0.0006480552 0.0027437822 0.00045991017 0.0005741411 0.0005412904 0.0030058415 0.00092131353 0.0004987338 0.0005397972 0.002014347 0.0015245724 0.0014969478 0.0022853652 0.003202946 0.0020681026 0.0029117689 0.0006958381 0.0032245975 0.0018583059 0.0018500931 0.0056241937 0.0020643696 0.0015529434 0.0018792108 0.001779912 0.0026609087 0.0016111789 0.0015753417 0.0022622205 0.0020068807 0.0018000705 0.0012393683 0.0012266759 0.003914463 0.0017209301 0.0016649346 0.0019934417 0.003291792 0.016420137 0.003269394 0.0011004993 0.0013879432 0.0012490742 0.0007324219 0.00073914137 0.0017209301 0.0026900265 0.00086979766 0.00081902836 0.0075982236 0.001793351 0.0010489834 0.0023995962 0.0016410431 0.007258517 0.0019277403 0.0013886897 0.0016962921 0.00306557 0.0018232153 0.0015760883 0.0013140291 0.0020404782 0.0011721737 0.0009354991 0.0010773545 0.0013386671 0.00071077025 0.0010333046 0.0043407753 0.0023876505 0.0013117893 0.0008197749 0.004876093 0.0016537354 0.004311658 0.0007458608 0.0020890075 0.00097208284 0.0015798213 0.0015275588 0.0013326942 0.00065029506 0.0016485092 0.0013170155 0.004212359 0.0044699386 0.00092355337 0.0009616304 0.0012654996 0.00090712804 0.0005935529 0.0004718559 0.0012669928 0.0012371285 0.00077124545 0.00058011396 0.0022622205 0.0015910204 0.0005121727 0.0049171564 0.0025645965 0.009256438 0.0005136659 0.000483055 0.0012281692 0.0052479035 0.0008571053 0.02438569 0.0012162235 0.016777014 0.0005480098 0.00050470664 0.0013857033 0.0004210866 0.0004987338 0.00041436712 0.001025092 0.0023324015 0.00046886946 0.00048604142 0.0013326942 0.0006749331 0.00045991017 0.0004718559 0.0011378297 0.0005509963 0.00042332642 0.00047558892 0.0010064268 0.0018702516 0.00032701404 0.00066821364 0.0012192099 0.00043900515 0.0004225798 0.00042407302 0.0009257932 0.00041884676 0.0004726025 0.00040839426 0.001167694 0.00036807745 0.00044721784 0.00048753465 0.0013647984 0.00063386967 0.00050470664 0.0006831458 0.0010781011 0.0008929425 0.00043601874 0.0005054532 0.0042914995 0.001700025 0.005091116 0.0006032588 0.0011557483 0.0007428744 0.00065850775 0.00058310037 0.0066993083 0.000827241 0.0009459516 0.0038196435 0.0018478533 0.0004121273 0.0016724006 0.0013565856 0.0017791655 0.0013244816 0.00043900515 0.0007242092 0.0012401149 0.00035463853 0.0005435302 0.0007182363 0.0016873328 0.00057339447 0.0012416082 0.00065029506 0.0013640517 0.00042929925 0.00065178826 0.00055547594 0.002696746 0.0005218786 0.0005218786 0.0013640517 0.0014962013 0.0005069464 0.00057936733 0.00041660693 0.00218532 0.0005495031 0.0004539373 0.00074660743 0.0019605912 0.0010512233 0.00045543053 0.00043900515 0.025156938 0.001751541 0.0005621954 0.0023876505 0.003124552 0.0005166523 0.00047932196 0.00046737623 0.003061837 0.00052859803 0.000621924 0.0005659284 0.0027699135 0.00044647124 0.00084068 0.0020031477 0.004263875 0.00076153956 0.0023883972 0.005404691 0.009063814 0.005839963 0.0067560505 0.06818019 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 1.083409e-05 3.7358932e-06 2.0547413e-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 0.002050632 1.75587e-05 3.810611e-05 6.3510183e-06 2.204177e-05 1.04605015e-05 3.6238165e-05 1.8305876e-05 2.204177e-05 2.6151254e-06 1.4943573e-06 6.3510183e-06 1.2702037e-05 6.724608e-06 2.9887146e-06 4.0721236e-05 0.0025549773 2.5030486e-05 0.00011058244 2.6524842e-05 2.9139968e-05 1.9426645e-05 4.6698668e-05 2.3909717e-05 1.0086912e-05 1.8305876e-05 8.592555e-06 2.5777663e-05 2.8766379e-05 1.643793e-05 6.3510183e-06 0.00010983526 0.0023457673 5.491763e-05 2.9513556e-05 3.4743807e-05 0.00015466598 5.491763e-05 5.491763e-05 4.5577897e-05 2.6524842e-05 1.643793e-05 1.120768e-05 2.5777663e-05 2.1294592e-05 2.4656896e-05 9.339733e-06 0.00015018291 0.0022411624 2.2788949e-05 3.0634325e-05 4.333636e-05 0.00010796732 8.293683e-05 0.00016624725 0.00014420548 8.816708e-05 1.4196395e-05 8.592555e-06 1.2702037e-05 3.175509e-05 1.8679466e-05 1.04605015e-05 3.6611753e-05 0.00054618757 2.1294592e-05 4.7445843e-05 1.8679466e-05 3.885329e-05 3.7358933e-07 1.8679466e-05 3.362304e-06 1.643793e-05 0.0 4.8566612e-06 0.0 2.6151254e-06 3.7358933e-07 2.6898431e-05 1.9053055e-05 0.003314858 2.8766379e-05 0.00016139059 0.00033324168 0.0008756934 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 0.0027824934 0.00013075626 0.00061716954 0.0015208821 0.0023203634 0.0014065638 0.0021746634 0.0014753042 0.0001367337 4.8193022e-05 5.6411987e-05 8.5925545e-05 8.106889e-05 5.0808147e-05 4.7819434e-05 7.172915e-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 0.006033841 0.0010860242 0.0013729407 0.013444359 0.0013852692 0.0011263718 0.001983012 0.0015533845 0.00228151 0.0011151641 0.0011786743 0.0012866417 0.001128987 0.0011387003 0.0017607264 0.005735717 0.0119122695 0.0011428097 0.0025164976 0.0021473914 0.0036309147 0.0025086524 0.0022863667 0.0015227501 0.0088652745 0.0018836374 0.0010363368 0.002235185 0.0018686939 0.0011831574 0.0032651706 0.0154991 0.040919986 0.0046986328 0.008223821 0.006002833 0.014729506 0.012524956 0.00810913 0.0065919836 0.028767126 0.004495774 0.0032804878 0.007468051 0.008390069 0.005215307 0.016412526 0.04528687 0.049233843 0.007122107 0.0118476385 0.010030873 0.019096391 0.019714309 0.012654965 0.009268751 0.031675518 0.004452811 0.005157401 0.009359533 0.012659075 0.007251369 0.02017868 0.044971563 0.00042850696 0.00023984435 0.00026039177 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3885.0 14.875933 57793.0 0.015936187 0.0012804319 0.00231862 0.0015226757 0.0025435607 0.0012112194 0.0017303134 0.0028031077 0.0056754276 0.005035212 0.0015918883 0.0070596784 0.0031491704 0.002197498 0.009845483 0.006298341 0.017112799 0.017060889 0.01915457 0.017579984 0.013704082 0.013496445 0.015192151 0.015745852 0.016334157 0.0132542 0.010174243 0.015382485 0.010468395 0.012094891 0.009620543 0.007250013 0.0031318672 0.0119910715 0.006367553 0.010243455 0.011627706 0.011471977 0.008530444 0.009914695 0.006886647 0.011420068 0.005710034 0.005554306 0.009378298 0.00889381 0.009101449 0.007474954 0.011835343 0.027373558 0.008045957 0.017251223 0.011074006 0.008201686 0.009447511 0.01181804 0.0071981037 0.009239873 0.0064194626 0.0050871214 0.004429602 0.0048794835 0.0046199365 0.004689149 0.0024397417 0.02093679 0.0071981037 0.016040005 0.017926047 0.0441749 0.009724361 0.010693337 0.013184988 0.021525098 0.0065059783 0.008911114 0.026041215 0.011766131 0.02270171 0.024691572 0.009897392 0.0051044244 0.024812693 0.018929629 0.030349696 0.012613985 0.009585936 0.008703476 0.0068174344 0.009966605 0.005952278 0.0027858044 0.0015226757 0.0030107452 0.0015226757 0.0008305504 6.2566347 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 -5.634529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.662835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.344694 0.0 0.0 0.0 0.0 0.0 0.0 -3.8816504 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: 0.15117416 0.011044505 0.0054498543 0.0052402443 0.0074259783 0.0028986826 0.0029896975 0.0031000182 0.008711217 0.002123678 0.0030365838 0.002133331 0.0050044334 0.0019154473 0.0013610845 0.004430765 0.0066206353 0.001057702 0.001061839 0.0010094366 0.0024739471 0.0016065487 0.0011638859 0.0008384391 0.0021416051 0.0006715787 0.00074052927 0.00081637496 0.0015927586 0.00067433674 0.0008673984 0.0007474244 0.011870533 0.00056263676 0.0011197575 0.0005667738 0.0049203136 0.0017306597 0.00063020835 0.00066468364 0.0015679363 0.00097220327 0.00092255883 0.0015982746 0.0025084224 0.00087705144 0.0016948055 0.0007143281 0.0029676333 0.000937728 0.00090876874 0.008942891 0.0012769649 0.0006260713 0.00067295774 0.0005557417 0.0015817265 0.00060676516 0.0017996103 0.0025015273 0.0014258982 0.0014369303 0.0007226021 0.0005984911 0.009200766 0.0059669837 0.0032048232 0.007547331 0.0053326385 0.020963736 0.00425563 0.0032461935 0.003673687 0.0085664205 0.0009556551 0.001173539 0.0026587346 0.0036902353 0.0023291507 0.0020326632 0.009160775 0.0015569042 0.0026601136 0.007842439 0.003764702 0.009687557 0.004448692 0.003766081 0.0014507204 0.0051381974 0.002366384 0.0041494463 0.0014783005 0.0029538432 0.0035592292 0.0023884482 0.0008798095 0.007752804 0.001643782 0.0042087436 0.00887532 0.013936292 0.0038460637 0.0030365838 0.0069143646 0.008362327 0.004342508 0.0011611278 0.0063158735 0.002825595 0.009189734 0.009334531 0.004124624 0.00063158735 0.00842714 0.006692344 0.017626528 0.008691911 0.0012797229 0.001889246 0.0023512149 0.0017734091 0.00087567244 0.0008370601 0.0019292374 0.0018506338 0.0009542761 0.0009170428 0.006350349 0.0014355512 0.0004826541 0.00766041 0.0034820046 0.0051106173 0.0007915527 0.000703296 0.0018975202 0.010928668 0.0022946754 0.054617137 0.0007598355 0.009476569 0.00044955782 0.0005543627 0.0024256816 0.00044817882 0.0005681528 0.0005667738 0.0010011625 0.0012314575 0.00044266277 0.00042887265 0.0008729144 0.0007322552 0.00037095416 0.00079293177 0.00077362556 0.00042749362 0.00045507387 0.00036957514 0.0009887514 0.0018354646 0.0004343887 0.00081775396 0.00071019103 0.00043163067 0.00034751094 0.0004578319 0.0009046317 0.0003999134 0.00038474426 0.00039853438 0.00091152673 0.00037233316 0.0003668171 0.00048817016 0.00177203 0.0006246923 0.0019388904 0.00063020835 0.0007805206 0.00045231584 0.00058607996 0.00078603666 0.003402022 0.0019182053 0.003894329 0.0010356378 0.0011101044 0.00046748496 0.0006026281 0.00059573306 0.010670792 0.001416245 0.0015844845 0.011645754 0.0027773296 0.0005309195 0.004805856 0.0025042852 0.0015500091 0.0017017005 0.0007777626 0.0007350132 0.0018768349 0.000473001 0.000704675 0.00060814415 0.0020271472 0.00060952315 0.002233999 0.0013983179 0.0015734524 0.0006950219 0.0027911197 0.001170781 0.0042156386 0.000826028 0.0009666872 0.0026035742 0.0016079276 0.0006467565 0.00064261944 0.0008949786 0.0025208334 0.00083981815 0.00055022567 0.0010907983 0.002245031 0.0013279882 0.000473001 0.00053919357 0.029128864 0.004808614 0.0011363056 0.0055050147 0.0040846327 0.000590217 0.00065503054 0.00067433674 0.0051437137 0.0007294972 0.0015513882 0.00085360825 0.0034916576 0.0005681528 0.0029703912 0.002242273 0.008114105 0.0026352913 0.0031207036 0.0046886397 0.010247436 0.0031386307 0.0054636444 0.06260024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023820114 2.2100425e-05 2.417234e-05 2.417234e-05 7.666085e-05 2.5553616e-05 8.632978e-05 4.281957e-05 5.8704252e-05 1.3122127e-05 2.417234e-05 7.597021e-06 8.978297e-06 6.9063826e-06 6.215744e-06 1.9337871e-05 0.0033786024 5.179787e-05 6.699191e-05 2.762553e-05 0.00023343573 6.768255e-05 6.768255e-05 5.2488507e-05 6.4919994e-05 1.7265957e-05 8.632978e-05 1.8647233e-05 1.6575319e-05 2.9006807e-05 2.4862977e-05 3.936638e-05 0.0010145477 2.2791062e-05 5.1107232e-05 1.588468e-05 4.9725953e-05 3.3150638e-05 0.000120861696 6.0085527e-05 5.525106e-06 2.762553e-06 6.9063826e-06 4.8344677e-06 5.525106e-06 1.0359574e-05 4.1438298e-06 6.215744e-06 0.017384056 0.00029006807 0.003719087 0.00036327573 0.0013232629 0.0007134293 0.013099336 0.006259945 4.074766e-05 3.2459997e-05 4.281957e-05 4.2128933e-05 3.7985104e-05 7.8042125e-05 5.6632336e-05 0.00036396636 0.007180566 0.000120861696 0.00057668297 0.0002458672 0.0016409565 0.000736911 0.0055133654 0.0028792708 8.011404e-05 2.417234e-05 3.3841276e-05 7.7351484e-05 0.00017127828 2.0719148e-05 3.7294467e-05 0.00046272762 0.011104082 0.0004565119 0.0017721778 0.0011001867 0.0030077295 0.002020117 0.013432223 0.0061066234 0.00021202595 0.0001408902 0.00020788211 0.00013053064 0.00018163786 0.0001229336 0.00018163786 0.0008411974 0.0060479194 0.00034946296 0.0018225943 0.00095515273 0.0018025659 0.00092545524 0.0071633 0.0034531914 0.00055320124 6.8373185e-05 9.3236165e-05 0.000120861696 0.000599474 9.0473615e-05 0.0001408902 0.0012735369 0.017486962 0.00095584337 0.0013142846 0.0011029493 0.0054594954 0.0016989701 0.0056915497 0.0030553837 0.002050505 0.0007341485 0.00045167742 0.00058566127 0.00092614593 0.00035982253 0.00070168846 0.0026865827 0.0135800205 0.0010573672 0.0013916361 0.0009834688 0.0051272986 0.002394443 0.004529896 0.0028606236 0.0043496396 0.00063607784 0.00043717402 0.0008805638 0.0017459336 0.00069754466 0.0016015901 0.004402819 0.057592325 0.007672991 0.007304881 0.0073552974 0.02636995 0.01880608 0.0133562535 0.011773311 0.037078988 0.003980148 0.0027694595 0.0066964286 0.013700882 0.008489326 0.018692816 0.038417444 0.0805892 0.013109695 0.014778278 0.015415046 0.039807007 0.03901761 0.029257508 0.024179935 0.06267335 0.0062723765 0.006111458 0.012061997 0.027037106 0.015033813 0.03481093 0.06923649 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6063.0 16.528452 100212.0 0.053586397 0.00016964036 0.0027342036 0.00022951343 0.0016065941 0.0029437593 0.00027940766 0.000449048 0.002774119 0.0025246479 0.00034925956 0.00017961921 0.0018161498 0.0017762344 0.0065261647 0.0014070171 0.0016265517 0.0019758113 0.0020456633 0.0018261286 0.001796192 0.0006685826 0.0010477788 0.00033928073 0.0010577575 0.0004889634 0.0076837107 0.0040214746 0.0011675248 0.00087813835 0.00078832876 0.00040913263 0.00085818063 0.010946793 0.0070350855 0.014070171 0.010607512 0.013142139 0.008172674 0.0054983436 0.004041432 0.012164212 0.0002494711 0.0016365305 0.0074941125 0.006436355 0.009280326 0.00907077 0.009519818 0.0016964036 0.008561849 0.019718198 0.01598611 0.0057577933 0.0033728497 0.007334451 0.0015566997 0.005667984 0.0010178422 0.004440586 0.0020356844 0.0041013053 0.004161178 0.0046601207 0.00030934418 0.045743026 0.008951024 0.025166648 0.022861533 0.08788369 0.009908993 0.017592704 0.014150002 0.049465135 0.0007384345 0.004430607 0.035654414 0.014968268 0.055941403 0.055911466 0.017802259 0.00033928073 0.04992416 0.037550393 0.06760667 0.019728176 0.0043308185 0.008581807 0.006057159 0.007953139 0.0020257055 0.00027940766 0.00022951343 0.00029936535 6.9851914e-05 7.983076e-05 5.368082 3.0 3.0 7.0 4.0 725157.0 778240.0 0.0 0.0 19.0 0.0 1.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 628736.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -628736.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 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 0.0 0.0 0.0 2.299104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7138553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6060367 0.0 0.0 0.0 0.0 0.0 0.0 -5.0699353 5.07128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -35920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5520.0 0.0 0.0 0.0 0.0 0.0 -4384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -628436.0 0.0 0.0 0.0 0.0 0.0 0.0 -9754.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9754.0 651264.0 68608.0 708608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 667648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1894334 0.009738569 0.0041141547 0.0048692846 0.016769087 0.003463181 0.002369545 0.0033069472 0.014972399 0.0014581814 0.0018748047 0.00093740236 0.005129674 0.0020049994 0.0010415582 0.0019008437 0.0048692846 0.0011977919 0.00088532444 0.0007290907 0.0047130506 0.0049994793 0.000546818 0.00044266222 0.0031507134 0.017550256 0.0008072076 0.00078116864 0.0015623373 0.00041662328 0.0008072076 0.00070305174 0.0042443494 0.0009894803 0.0017966878 0.000572857 0.010649933 0.0014061035 0.0005207791 0.000546818 0.001119675 0.00018227268 0.00044266222 0.00039058432 0.0011977919 0.000572857 0.0014842204 0.0005207791 0.0032548693 0.0029684408 0.0019529216 0.0059108427 0.0036975315 0.002942402 0.0016404542 0.001145714 0.0031507134 0.002812207 0.001093636 0.0042964276 0.00223935 0.0022133111 0.0017446099 0.006744089 0.03260077 0.01020727 0.00473909 0.0061451932 0.008306426 0.010181231 0.0041922717 0.009165712 0.011222789 0.005598375 0.001145714 0.001145714 0.0044005834 0.0036975315 0.004009999 0.0014061035 0.01195188 0.002265389 0.002838246 0.006275388 0.0083845435 0.008566816 0.0044005834 0.0042703883 0.0065878555 0.007499219 0.0058327257 0.0009634413 0.00067701284 0.0011717529 0.0018227268 0.017732527 0.0046088947 0.008306426 0.0071346737 0.006275388 0.006353505 0.018617852 0.0016404542 0.01866993 0.0039318823 0.008124154 0.005806687 0.0013019477 0.0058587645 0.0038277262 0.0070565566 0.0070825955 0.003411103 0.000546818 0.008046037 0.005676492 0.027314862 0.010415582 0.0013019477 0.0011977919 0.0047911676 0.002265389 0.0013279867 0.0006249349 0.0015883762 0.0012238309 0.0008592855 0.0017446099 0.005103635 0.0007290907 0.00031246745 0.0051817517 0.0011717529 0.007030518 0.0009634413 0.000546818 0.0024737006 0.011847724 0.0013279867 0.030517654 0.001093636 0.005103635 0.00049474015 0.00039058432 0.0008592855 0.00033850642 0.00036454535 0.00083324657 0.001692532 0.00036454535 0.00036454535 0.00020831164 0.000546818 0.00020831164 0.00023435059 0.00020831164 0.0010155193 0.00036454535 0.00026038956 0.00018227268 0.0014061035 0.002317467 0.00059889595 0.0007551297 0.0044787 0.00033850642 0.00044266222 0.00018227268 0.0012498698 0.00020831164 0.00018227268 0.00026038956 0.0007290907 0.00013019478 0.0002864285 0.00020831164 0.000572857 0.00026038956 0.0002864285 0.00018227268 0.0014581814 0.0002864285 0.00023435059 0.00020831164 0.0014061035 0.00031246745 0.00036454535 0.00036454535 0.00031246745 0.00033850642 0.00049474015 0.00033850642 0.008697011 0.0006249349 0.006171232 0.0023435059 0.0020570774 0.0002864285 0.0032548693 0.002291428 0.0015623373 0.0016664931 0.0002864285 0.00041662328 0.0019268827 0.00031246745 0.0007551297 0.00031246745 0.00088532444 0.00020831164 0.00046870118 0.00013019478 0.00059889595 0.00015623373 0.00067701284 0.00067701284 0.00083324657 0.00044266222 0.00018227268 0.00039058432 0.00036454535 0.00013019478 0.00018227268 0.00020831164 0.0010675971 0.00020831164 0.00020831164 0.00026038956 0.0012759088 0.0006509739 0.00023435059 0.00033850642 0.012837204 0.0014321425 0.00013019478 0.005754609 0.003437142 0.00020831164 0.00020831164 0.000546818 0.0026038955 0.0008592855 0.000572857 0.00070305174 0.0014842204 0.00083324657 0.0012759088 0.0010675971 0.002890324 0.00059889595 0.00026038956 0.00031246745 0.0030986355 0.00078116864 0.0017966878 0.030699927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018391928 0.00018988716 0.00018988716 0.0053575304 0.0616862 0.049221464 0.03757053 0.021321615 6.781684e-05 2.7126736e-05 4.0690105e-05 8.138021e-05 9.494358e-05 2.7126736e-05 5.4253473e-05 0.00012207031 0.04863824 0.0037841797 0.0026312934 0.0027940539 0.01026747 0.009019639 0.018703885 0.0069851344 0.0007866754 0.0006510417 0.0008544922 0.00035264756 0.0005018446 0.00040690103 0.0003933377 0.004340278 0.023234049 0.0020345051 0.0012478299 0.0013292101 0.0029975043 0.0028211805 0.010023329 0.004896376 0.0013834635 0.00028483072 0.00024414062 0.00031195747 0.0015055338 0.00018988716 0.0010172526 0.0020345051 0.022745768 0.0037299262 0.0033365886 0.0014105903 0.0026584202 0.00253635 0.006917318 0.0050998265 0.0021158855 0.0014512804 0.00055609806 0.0009629991 0.00055609806 0.0003797743 0.0005967882 0.0005018446 0.03294542 0.0019395617 0.0067952476 0.016737197 0.014621311 0.0069986978 0.015190972 0.009467231 0.011230469 0.0022379558 0.001546224 0.0013020834 0.0058458117 0.000922309 0.003974067 0.0071343314 0.06745063 0.020263672 0.008260091 0.009399414 0.020209419 0.013142903 0.016560873 0.01824273 0.040649414 0.0021158855 0.005126953 0.0022650824 0.016059028 0.0022786458 0.01405165 0.021701388 0.032213 0.0133463545 0.0046115452 0.0072021484 0.009982639 0.010891384 0.013400608 0.008761936 0.020751953 0.0012885199 0.0055067274 0.0019395617 0.00914171 0.0022922093 0.009548611 0.01578776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 339.0 31.41003 10648.0 0.009391435 0.00028174304 0.0030052592 9.391435e-05 0.0011269721 9.391435e-05 0.00028174304 0.0001878287 0.00046957174 0.0 0.0001878287 0.0 0.00084522914 0.00065740047 0.0031930879 0.0014087153 0.004226146 0.003756574 0.0036626596 0.0034748309 0.0035687452 0.0017843726 0.0023478589 0.0016904583 0.0027235162 0.0025356875 0.0022539443 0.0012208866 0.0036626596 0.0024417732 0.0030052592 0.022633359 0.102836214 0.028549962 0.012678437 0.018501127 0.013429752 0.01230278 0.006104433 0.029489106 0.030146506 0.017561983 0.0 0.0013148009 0.0015965439 0.005634861 0.009673178 0.0025356875 0.027798647 0.0014087153 0.008452292 0.01643501 0.024793388 0.021506386 0.0032870022 0.007513148 0.019815927 0.018313298 0.019722013 0.00028174304 0.0005634861 0.0 0.00028174304 0.0595417 0.00065740047 0.023572503 0.022069871 0.019815927 0.016341098 0.058696467 0.0025356875 0.008264462 0.0030991735 0.026296018 9.391435e-05 0.0020661156 0.014932382 0.010048836 0.0209429 0.022727273 0.008264462 0.0005634861 0.02526296 0.017843727 0.059259955 0.0069496618 0.0026296019 0.0015965439 0.0089218635 0.004601803 0.0026296019 9.391435e-05 0.0003756574 0.0001878287 0.0001878287 0.0001878287 5.446538 0.0 0.0 0.0 2.0 38404.0 53248.0 1.0 189.0 52.0 1.0 1.0 0.0 0.0 0.0 1488847100.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 18432.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14336.0 0.0 0.0 0.0 0.0 0.0 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 -18432.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.137464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5344925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9075568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4154286 0.0 4.703134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1910.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13966.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18367.0 0.0 1828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -4.0 1.0 0.0 -3.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 0.0 2.0 1.0 1.0 -1.0 -1.0 1.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 1.0 -3.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 2.0 0.0 -2.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 2.0 1.0 0.0 2.0 0.0 -2.0 1.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 1.0 9854.0 28688.0 120.0 27060.0 1828.0 45056.0 0.0 0.0 0.0 0.0 1264.0 49152.0 28.0 24880.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 25168.0 0.0 0.0 264.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.18007426 0.022424564 0.010225129 0.013319189 0.016118577 0.006364922 0.017621405 0.005569307 0.005421971 0.006836398 0.0094884485 0.003683404 0.003801273 0.0053925035 0.004921028 0.0026815182 0.0034771333 0.0042727487 0.0030056578 0.0070132012 0.0019448374 0.0021216408 0.0045084865 0.0026815182 0.0024752475 0.0015322961 0.0018859028 0.0015617633 0.002534182 0.0035950025 0.0025636493 0.0020921736 0.012346771 0.0017090995 0.0017090995 0.0020921736 0.001768034 0.0018269684 0.0017975012 0.0015028289 0.004950495 0.0016501651 0.003152994 0.0036539368 0.0020037717 0.0030351249 0.008103489 0.004950495 0.021275342 0.010490335 0.004567421 0.003152994 0.002268977 0.0028877887 0.0022395097 0.0029761905 0.0029761905 0.0027404525 0.0020037717 0.0011197549 0.0009724187 0.0015912305 0.0015617633 0.0014438943 0.0021805752 0.0043022158 0.001768034 0.005569307 0.002534182 0.005274635 0.0026815182 0.0019153701 0.003919142 0.002534182 0.0012081566 0.0015322961 0.0022395097 0.006482791 0.0027404525 0.0020921736 0.0035950025 0.0013849599 0.003536068 0.006099717 0.0037718057 0.0071310704 0.0022100424 0.003182461 0.0016796322 0.0015617633 0.0018564357 0.0013849599 0.0018859028 0.001149222 0.0010608204 0.0033592645 0.0017975012 0.014262141 0.0032413956 0.014497878 0.0063943896 0.026461575 0.006305988 0.008545497 0.0050094295 0.020685997 0.0012965582 0.0032413956 0.007720415 0.008545497 0.016707921 0.027669732 0.00851603 0.001149222 0.022984441 0.014851485 0.024605138 0.005805045 0.0034476663 0.0026225836 0.0037128713 0.0035655352 0.001267091 0.0013849599 0.0010018859 0.0012965582 0.0014438943 0.0013260255 0.00468529 0.002799387 0.005068364 0.0011786893 0.0009724187 0.0011197549 0.0048326263 0.00079561525 0.0010902876 0.001267091 0.0009134842 0.0006482791 0.0010902876 0.001267091 0.0009134842 0.0009134842 0.0011786893 0.0011786893 0.001149222 0.0010313531 0.0012081566 0.0009134842 0.0012081566 0.0012965582 0.0011197549 0.0013849599 0.0010313531 0.0016796322 0.0010313531 0.00082508253 0.0009429514 0.00085454975 0.0025636493 0.0016501651 0.0012965582 0.001267091 0.0011197549 0.0010313531 0.00076614803 0.00085454975 0.0011786893 0.0019153701 0.00082508253 0.0007366808 0.0012376237 0.000884017 0.001149222 0.0012965582 0.001267091 0.0014438943 0.0010313531 0.0010313531 0.0009134842 0.000884017 0.00082508253 0.0009134842 0.0011786893 0.0007072136 0.00076614803 0.0021216408 0.00085454975 0.0013554927 0.00076614803 0.0012081566 0.0012081566 0.0013260255 0.0006777464 0.0012081566 0.0010313531 0.0011197549 0.0009134842 0.0006777464 0.0012081566 0.0010313531 0.0010902876 0.0010018859 0.0011197549 0.0010902876 0.0009724187 0.00082508253 0.0011197549 0.001149222 0.0010902876 0.0010608204 0.0010608204 0.0007366808 0.0007072136 0.00058934465 0.0013849599 0.0010902876 0.00076614803 0.0010018859 0.0010313531 0.0012965582 0.0014438943 0.001267091 0.00082508253 0.001267091 0.0014438943 0.0007072136 0.0013554927 0.0012376237 0.00085454975 0.0010902876 0.0009134842 0.0015617633 0.0009724187 0.00085454975 0.001149222 0.0010608204 0.0006777464 0.0009429514 0.001267091 0.00079561525 0.001768034 0.00085454975 0.0013849599 0.0010018859 0.00076614803 0.0024163132 0.00085454975 0.0012376237 0.0009429514 0.000884017 0.00079561525 0.00085454975 0.0010018859 0.0014144272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02180481 0.00010681152 0.0005645752 0.0009460449 0.0010528564 0.0007019043 0.0041503906 0.0017242432 6.1035156e-05 0.0 6.1035156e-05 3.0517578e-05 0.0 0.0 1.5258789e-05 3.0517578e-05 0.02607727 0.000579834 0.0024108887 0.001739502 0.009750366 0.005722046 0.05189514 0.026138306 0.00022888184 3.0517578e-05 0.00019836426 6.1035156e-05 6.1035156e-05 6.1035156e-05 1.5258789e-05 3.0517578e-05 0.04284668 0.0024261475 0.0068969727 0.0011749268 0.003479004 0.0022277832 0.020889282 0.012329102 0.00048828125 0.00019836426 0.0001373291 9.1552734e-05 0.00010681152 0.00021362305 0.00010681152 0.0001373291 0.0335083 0.004760742 0.0053100586 0.0011444092 0.0014953613 0.0011749268 0.006790161 0.0051727295 0.001373291 0.00018310547 0.000289917 0.00010681152 0.00022888184 0.00050354004 0.00018310547 0.0002746582 0.07559204 0.006439209 0.0059661865 0.0052337646 0.006072998 0.006134033 0.021392822 0.011795044 0.002960205 0.002456665 0.0024414062 0.0030212402 0.0018005371 0.0017089844 0.0014343262 0.0018005371 0.012466431 0.002029419 0.0016021729 0.002822876 0.0009765625 0.0009460449 0.005264282 0.0023651123 0.0010681152 0.00024414062 0.00022888184 0.00019836426 0.0002593994 0.00021362305 0.0002746582 0.000289917 0.019042969 0.0023956299 0.0034484863 0.007369995 0.0028381348 0.0024871826 0.011154175 0.005355835 0.0016021729 0.000869751 0.0010681152 0.0010070801 0.00090026855 0.0009765625 0.00093078613 0.0010528564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0488739 0.015853882 0.016540527 0.025421143 0.013595581 0.014709473 0.032302856 0.020355225 0.012496948 0.0072021484 0.0077056885 0.0065460205 0.0069732666 0.0067596436 0.0069122314 0.007751465 0.030075073 0.012374878 0.012969971 0.01838684 0.010253906 0.010772705 0.022064209 0.015151978 0.008911133 0.007003784 0.007507324 0.006225586 0.005783081 0.006286621 0.006866455 0.006866455 459.0 20.836601 9564.0 0.01767043 0.0009410289 0.00031367628 0.0016729402 0.002195734 0.00073191134 0.0015683814 0.00073191134 0.0010455876 0.0014638227 0.0005227938 0.0013592639 0.0014638227 0.004809703 0.017984107 0.011501464 0.033458803 0.02279381 0.011187787 0.0062735258 0.004705144 0.004705144 0.0032413215 0.004391468 0.0059598493 0.005750732 0.003032204 0.00020911753 0.00031367628 0.0013592639 0.00062735257 0.0005227938 0.0008364701 0.0101422 0.0015683814 0.013697198 0.0046005854 0.0101422 0.0029276453 0.0026139691 0.0033458804 0.0046005854 0.00073191134 0.0015683814 0.0038686742 0.016206607 0.0041823504 0.0038686742 0.006691761 0.00073191134 0.007528231 0.012442493 0.008887495 0.0013592639 0.0012547051 0.0055416143 0.00073191134 0.00041823505 0.0026139691 0.00010455876 0.001777499 0.00041823505 0.0005227938 0.006900878 0.00073191134 0.037013803 0.007946466 0.040777918 0.016520284 0.07245922 0.016520284 0.020179842 0.011396905 0.057820994 0.00062735257 0.0058552907 0.018088667 0.023525722 0.044437476 0.07601422 0.020075282 0.00041823505 0.060644083 0.039000418 0.07015893 0.014429109 0.007109996 0.004705144 0.006064408 0.007841907 0.00073191134 0.00010455876 0.0005227938 0.00010455876 0.00041823505 0.00041823505 5.3677554 2.0 20.0 0.0 1.0 33936.0 40960.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1536595200.0 0.0 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 15360.0 512.0 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 -15360.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6913953 0.0 3.3381894 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 -15204.0 0.0 1152.0 0.0 0.0 0.0 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 23308.0 1152.0 24576.0 0.0 0.0 16016.0 17920.0 12.0 32768.0 28.0 22996.0 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: 0.5912235 0.004154576 0.0027636718 0.002438616 0.0027720423 0.0017145647 0.0015680804 0.0013964843 0.0033189175 0.0009863281 0.002580915 0.0010351562 0.0033789063 0.0022949218 0.0010016741 0.0028362165 0.0026199776 0.00085797993 0.0008035714 0.00084542413 0.0016657367 0.0028878348 0.0007589286 0.0008314732 0.0013392858 0.0007519531 0.00083286833 0.00087611604 0.0011439732 0.0011983817 0.0007700893 0.000765904 0.006498326 0.00078543526 0.00078543526 0.000874721 0.0021233258 0.001063058 0.00072544644 0.0007198661 0.0010184152 0.0007547433 0.0007491629 0.0010463169 0.0008719308 0.0008607701 0.0011704799 0.0007575335 0.0014648438 0.0017410715 0.001688058 0.0029478236 0.00091517856 0.001171875 0.0008496094 0.0007463728 0.0013657924 0.0014564733 0.002186105 0.0021609934 0.0015332032 0.0014522879 0.00085518975 0.0010895648 0.0017717634 0.0013671875 0.004264788 0.0012472098 0.0022209822 0.00679548 0.0020675224 0.0012318639 0.001265346 0.0009793526 0.0007589286 0.0006989397 0.0010532924 0.0016476004 0.0010686384 0.0009137835 0.005984933 0.0011104911 0.00093052455 0.0032617187 0.0011565291 0.0017773438 0.0028501675 0.002766462 0.0012234933 0.0031361608 0.0007198661 0.0012388392 0.0009542411 0.0015541294 0.0015862165 0.0013364955 0.0008468192 0.0025432478 0.00097098213 0.0013797433 0.0018847656 0.0034347097 0.0017675781 0.0011202567 0.0036356028 0.0024469865 0.0034165736 0.0011132812 0.0017633928 0.0013309151 0.0018708147 0.0022907367 0.0015666853 0.0006863839 0.0020982143 0.0024455916 0.005330636 0.0058523994 0.0014299665 0.0011369977 0.0010895648 0.0010714285 0.00078543526 0.0006794085 0.00125 0.0017299107 0.0010379464 0.0008691406 0.0026534598 0.0012820871 0.00082310266 0.0047893417 0.0017898995 0.0055245534 0.0008049665 0.0007045201 0.001608538 0.0031738281 0.0013630022 0.007618583 0.001265346 0.005885882 0.0006263951 0.00072544644 0.0010518973 0.0006263951 0.0005859375 0.00069754466 0.001203962 0.0007924107 0.000796596 0.00072126114 0.0008496094 0.0008370536 0.00057756697 0.0006263951 0.0007742746 0.0007826451 0.00068359374 0.0006515067 0.0012011719 0.0018889509 0.0015011161 0.001248605 0.0010421317 0.0009737723 0.00064034597 0.00071847095 0.0008816964 0.00078125 0.0010128348 0.0014899553 0.00082728796 0.00067243306 0.0006626674 0.0007324219 0.0011760603 0.00073521206 0.0007407924 0.00070870534 0.000844029 0.00078822544 0.0009946986 0.00079799106 0.0012290736 0.0007952009 0.000703125 0.0007700893 0.00092773436 0.0012555803 0.0011077009 0.0008161272 0.0039760047 0.0014746094 0.00096819195 0.0025892856 0.002438616 0.00090262276 0.0017871094 0.0017089844 0.0012290736 0.0014578683 0.0007324219 0.00078822544 0.0010839844 0.0006919643 0.00085239956 0.00080078124 0.0022391183 0.0013141742 0.00097516744 0.0010253906 0.00097237725 0.0007770647 0.0017536272 0.0010867745 0.0011523437 0.0007784598 0.0007324219 0.00094308035 0.0008412388 0.00065987726 0.0007784598 0.00074776786 0.001203962 0.0007393973 0.0007547433 0.0007142857 0.0011914063 0.0006194196 0.00095982145 0.0007617187 0.005558036 0.0013727678 0.0007366071 0.002155413 0.0020912387 0.00078822544 0.0010895648 0.0007463728 0.0018331474 0.00082589284 0.0011467634 0.0011830357 0.0014146206 0.00093191967 0.0012751116 0.0019015067 0.0024818638 0.0012625558 0.00096819195 0.0011830357 0.0027720423 0.0013992746 0.0027762277 0.020679409 0.5493562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012664576 9.7795955e-06 2.3051905e-05 1.3970852e-06 3.77213e-05 8.382511e-06 2.5147532e-05 1.5367936e-05 1.6066479e-05 4.1912554e-06 2.7941703e-06 6.286883e-06 4.8897978e-06 1.3970852e-06 2.7941703e-06 4.8897978e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003044947 1.6765021e-05 6.9155714e-05 3.2132957e-05 9.7097414e-05 6.2170286e-05 0.00036813194 0.00020327588 3.492713e-05 1.1875223e-05 1.9559191e-05 3.492713e-05 0.0001082741 0.000113862436 1.5367936e-05 5.9376118e-05 0.00094442954 1.886065e-05 9.7795955e-06 6.9854254e-06 3.562567e-05 7.683968e-06 4.959652e-05 9.081054e-06 1.6066479e-05 1.1176681e-05 1.3272309e-05 1.4669394e-05 2.0257734e-05 1.1176681e-05 0.00016625313 9.570033e-05 0.003927206 0.000113862436 0.00033949167 0.00017254 0.0007250872 0.00046173664 0.00033390336 0.000238203 0.00014948811 3.1434414e-05 5.3089236e-05 6.985426e-05 0.00010268576 8.242802e-05 7.963385e-05 0.0002724316 0.0048765256 0.0002249307 0.00048688418 0.00039747072 0.0008221846 0.0005190171 0.0018602188 0.0009807538 0.00022353361 9.9891586e-05 0.0001362158 0.000111068264 0.00017742981 0.00010547993 0.00013900996 0.00028430682 0.0025678424 5.5883404e-05 0.0032391418 0.0026838004 0.0005280982 0.0003073587 0.0074639274 0.003600987 0.000113862436 3.9118382e-05 0.00022073944 0.000111068264 0.00044357454 5.448632e-05 4.8897978e-06 2.444899e-05 0.00480248 0.00015507644 0.0014571598 0.0009912319 0.0009150907 0.0005287967 0.003119691 0.0017051424 0.0005120317 0.0001411056 0.00019140066 0.00048828125 0.0004247139 0.00087527384 0.0003869926 0.00047291332 0.0008885461 5.0993607e-05 0.0010324459 0.0009898348 0.00020118026 0.00029478496 0.001534698 0.0006559315 0.0006950498 9.220762e-05 0.00023540885 0.00083475834 0.0002528724 0.0011812354 8.3126564e-05 0.0009912319 0.013927542 0.002486113 0.0012392146 0.0024253398 0.004767553 0.006054268 0.0024476931 0.0033404306 0.010198722 0.0008731782 0.0018287845 0.0011064914 0.0038273146 0.0016317954 0.003480139 0.01189618 0.029868282 0.0068010106 0.0038231234 0.0068059 0.012530456 0.01412453 0.005415102 0.009370948 0.019793902 0.0020453327 0.004724243 0.002756449 0.0093499925 0.003814741 0.008017173 0.020987712 0.009622424 0.009033552 0.00909223 0.009150209 0.008696855 0.009255689 0.009218666 0.008965794 0.008927374 0.008922484 0.008870093 0.008870792 0.008798842 0.008928073 0.00913554 0.009003515 2389.0 12.182503 29104.0 0.10809511 0.0010995052 0.002302089 0.0015118197 0.002302089 0.00824629 0.001340022 0.0016148983 0.003642111 0.0025426059 0.0019241341 0.0010995052 0.0015461792 0.0029892798 0.009036559 0.002611325 0.010032985 0.02305525 0.018863387 0.0064252336 0.0025769654 0.00223337 0.004020066 0.0019928531 0.0030579988 0.0030579988 0.028827652 0.0025769654 0.004191864 0.0019584936 0.001340022 0.0068719075 0.0021990105 0.009586311 0.0024051678 0.0061847167 0.0074216602 0.01041094 0.0050164927 0.0061503574 0.005497526 0.0069062673 0.002164651 0.0017523364 0.00443238 0.004604178 0.00522265 0.004604178 0.0069749863 0.002302089 0.005428807 0.016011545 0.007868335 0.0060816384 0.005497526 0.0074903793 0.0017179769 0.0057036835 0.0012713029 0.0021302914 0.0016148983 0.0040544253 0.0020272126 0.0032297967 0.0016492578 0.046419736 0.008727322 0.01862287 0.023020891 0.063736945 0.0065626716 0.010685816 0.01858851 0.04298378 0.008349367 0.010926333 0.021371633 0.016801814 0.030270753 0.04092221 0.013949973 0.0015118197 0.030270753 0.03862012 0.04463304 0.021165475 0.010617097 0.009173997 0.0026456844 0.010204783 0.00446674 0.00085898844 0.0015805388 0.0012713029 0.0009964266 0.0014431006 5.621937 0.0 4.0 0.0 3.0 716800.0 417792.0 0.0 0.0 205.0 0.0 0.0 0.0 0.0 0.0 1165649800.0 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 7.0 10.0 4.0 0.0 4.0 0.0 167936.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5479054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.510474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.620106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14174.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -225524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166783.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 180.0 181592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 181488.0 0.0 0.0 852.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.2076172 0.0060992325 0.004989892 0.0035207649 0.0056820516 0.0016293174 0.0018417626 0.0012703879 0.008262233 0.0014091625 0.0027026795 0.001578776 0.0051449426 0.0017792283 0.0014982525 0.0040107593 0.01197574 0.004570141 0.0024482594 0.0060949493 0.0047123423 0.017704906 0.0009791324 0.00053282623 0.0029194078 0.00036235608 0.00052425987 0.0005336828 0.0018743147 0.00086177356 0.00043003017 0.002289782 0.0075066816 0.00046001232 0.00070929277 0.0013808936 0.0038916871 0.0009782758 0.00036235608 0.0003674959 0.004738898 0.0004180373 0.0004206072 0.00060992327 0.0017329701 0.0003983347 0.00066046463 0.00041204086 0.001674719 0.00048142817 0.00047114858 0.0017141242 0.0021295915 0.0008240817 0.00033323054 0.0003477933 0.0019496984 0.0006527549 0.0006193462 0.0014554207 0.0012301261 0.0012969435 0.00032380756 0.00027240955 0.021739652 0.0070064077 0.002795196 0.0030084979 0.0029853687 0.014657861 0.0014605606 0.0008891859 0.0021321615 0.0016156113 0.0013294956 0.0011161938 0.0029134115 0.014188426 0.0014365749 0.0013020834 0.021651419 0.010198225 0.010575144 0.002366879 0.003684382 0.007398746 0.0017912212 0.0015522204 0.0014348616 0.00026555647 0.0003092448 0.00079752604 0.0024611088 0.0019959568 0.00088318944 0.0030144942 0.001543654 0.0035353275 0.0007829633 0.0017595257 0.00425233 0.005317126 0.003572163 0.00084378425 0.008871299 0.003185821 0.006902755 0.0007238555 0.0032834772 0.0012609649 0.002818325 0.00286801 0.0025270695 0.00022957785 0.0038959703 0.0028277482 0.006494997 0.0034213953 0.0008626302 0.000816372 0.0017021314 0.0007949561 0.00037606223 0.0002107319 0.0015984786 0.004036458 0.00047029194 0.0004180373 0.0033708538 0.0017766585 0.0010802152 0.0074749864 0.003672389 0.016905667 0.0005585252 0.00028868558 0.0022135417 0.017218338 0.00062534265 0.035552014 0.001466557 0.03419168 0.0004231771 0.0013740406 0.005191201 0.0004009046 0.00034179687 0.00025784675 0.0014854029 0.0061857523 0.0002818325 0.0003066749 0.0015984786 0.0003015351 0.00038719847 0.0005833676 0.0013689008 0.0009071752 0.000243284 0.00023129112 0.0025022272 0.0011984307 0.0001901727 0.0003700658 0.0020439283 0.000208162 0.0001422012 0.00015590734 0.0020430714 0.00016019051 0.00020730538 0.00017389665 0.0023103412 0.00022786458 0.00021672834 0.000451446 0.0023917216 0.00034094023 0.00017304003 0.0001747533 0.006727145 0.00052597316 0.0004437363 0.00023643092 0.0037032277 0.00096542627 0.0010288171 0.00029296876 0.0021818462 0.0020242257 0.00026212994 0.00076925714 0.004570141 0.0019736842 0.0010613692 0.001546224 0.0045941267 0.00026641312 0.00086348684 0.010084293 0.002930544 0.00079238624 0.00033408718 0.00027754935 0.0037880344 0.00027840596 0.00027240955 0.00032637746 0.007423588 0.0003495066 0.0006227727 0.0015385143 0.0027052495 0.00016875686 0.003569593 0.002301775 0.0028585868 0.00031010143 0.0002509937 0.0028277482 0.00268726 0.0005550987 0.0002612733 0.00038891172 0.0031969573 0.0006330524 0.0027849164 0.00021587171 0.002023369 0.0005816543 0.00024071409 0.00019359923 0.0049453466 0.0013748972 0.00028954222 0.003204667 0.0031969573 0.00022443804 0.0001978824 0.00020130894 0.0017663789 0.00023386102 0.0002989652 0.00051826343 0.0012549685 0.0002055921 0.0012147067 0.0010202508 0.002151864 0.00056452164 0.0005962171 0.00090117875 0.0055801123 0.0046018367 0.011275871 0.1065858 0.008772343 0.0 8.573859e-07 0.0 0.0 0.0 0.0 0.0 1.7147718e-06 0.0 0.0 4.2869294e-07 1.2860788e-06 0.0 0.0 3.0008505e-06 0.0016817624 2.1434646e-06 6.430394e-06 2.1434646e-06 9.4312445e-06 4.286929e-06 3.1723277e-05 9.4312445e-06 3.4295435e-06 0.0 4.2869294e-07 8.573859e-07 1.7147718e-06 0.0 0.0 2.1434646e-06 0.001611028 2.3149418e-05 4.7156223e-06 3.0008505e-06 7.2877797e-06 3.8582366e-06 9.4312445e-06 2.1434646e-06 1.2860788e-05 3.0008505e-06 8.573859e-07 8.573859e-07 4.7156223e-06 4.7156223e-06 1.7147718e-06 6.258917e-05 0.0023303747 6.258917e-05 1.1574709e-05 6.001701e-06 2.6578962e-05 3.0437199e-05 5.8730933e-05 4.0297135e-05 5.1443153e-06 5.1443153e-06 4.286929e-06 5.573008e-06 6.859087e-06 7.2877797e-06 3.8582366e-06 2.9151119e-05 0.0038886736 0.0011176025 1.2003402e-05 5.1443153e-06 5.573008e-06 3.4295435e-06 1.5432946e-05 1.7147718e-06 1.8862489e-05 4.286929e-06 6.430394e-06 5.1443153e-06 2.3149418e-05 7.716473e-06 1.1146016e-05 0.00014146867 0.0055138483 0.0015428659 7.330649e-05 6.1731786e-05 7.587865e-05 4.072583e-05 7.202041e-05 6.473263e-05 5.1871844e-05 2.6150268e-05 2.1434647e-05 1.7147717e-05 4.8013608e-05 1.4575559e-05 3.386674e-05 0.00024349759 0.007846367 0.00045312842 0.00019848482 0.00015304338 0.0002846521 9.817068e-05 0.0003579586 0.00025464362 7.2877796e-05 5.401531e-05 9.73133e-05 7.0734335e-05 9.559852e-05 0.00010845931 7.5449956e-05 0.0003146606 0.01601854 0.00094912614 0.0014901366 0.0004728483 0.00094784005 0.0006417533 0.0040395735 0.001898681 9.988545e-05 7.030564e-05 5.573008e-05 5.530139e-05 6.1731786e-05 8.788205e-05 5.0157072e-05 0.00027736434 0.048487313 0.00048870995 0.0056313104 0.0011484683 0.0049638352 0.0041223112 0.014671158 0.007460543 0.0002619314 0.00016504677 0.00016204592 0.00023192288 0.00018305189 0.00011360363 0.00011146016 0.00047156223 0.010304064 0.00059202494 0.0006841939 0.00035624384 0.001326376 0.0009281202 0.0022382059 0.0013928233 0.00032923618 0.00020834476 0.00024306889 0.00015304338 0.00020791608 0.00015432945 0.00018648143 0.00088868046 0.012275622 0.00067819224 0.0009817068 0.0007330649 0.00234838 0.0009234046 0.0023959647 0.001322089 0.00057316246 0.00037339155 0.00036224554 0.00040725828 0.00036010207 0.00032409184 0.00036481768 0.0010374369 0.01136122 0.0008625302 0.00087839185 0.0008398095 0.0037729265 0.0011188885 0.0021970512 0.0014562699 0.0009208324 0.0005217193 0.0004248347 0.0005667321 0.0006104587 0.00057230506 0.00058516586 0.0014056842 0.026127549 0.007904669 0.002594021 0.0017439228 0.0095770005 0.009392234 0.0041638943 0.0027059098 0.027183848 0.004722481 0.0025858758 0.0054109623 0.005078725 0.0033626673 0.003604879 0.043630652 0.06099786 0.025812458 0.0075145583 0.0049196803 0.031711273 0.02872114 0.011729038 0.007335793 0.058903694 0.008131877 0.0045908727 0.009402522 0.015403366 0.011096717 0.008587148 0.06335095 0.04070568 0.01798667 0.004609735 0.004980126 0.025226435 0.024052246 0.009139305 0.0063948124 0.03950577 0.005446115 0.0037000487 0.00550356 0.011543843 0.012561561 0.009553851 0.026675846 0.0005517278 0.00037167678 0.0003695333 0.0003631029 0.00035538644 0.00035624384 0.00043340857 0.00035967337 0.0003575299 0.00035495774 0.00035624384 0.00042612077 0.00035581514 0.0004239773 0.00035367167 0.0003566725 2795.0 8.6017885 24042.0 0.018842027 0.0005407204 0.016887113 0.04471342 0.006447051 0.0008318775 0.0003743449 0.0005407204 0.017760586 0.00079028367 0.0009150653 0.0011230347 0.0036602612 0.0012062225 0.0031195409 0.0009150653 0.0021212876 0.0022876633 0.0035770736 0.0022460695 0.012894102 0.001663755 0.0020796938 0.0012478164 0.009358622 0.0022876633 0.0015805673 0.0024956327 0.0022044755 0.001996506 0.0012478164 0.0013310041 0.005739955 0.005656767 0.008859496 0.015597704 0.0066966144 0.0055735796 0.0069461777 0.0049912655 0.0027867898 0.0070293653 0.0011646285 0.0017469429 0.008027619 0.0042009815 0.003410698 0.0040762 0.0142667 0.0031611347 0.0062806755 0.01243657 0.022835039 0.0029531652 0.008318775 0.0033691041 0.0028283836 0.0018301306 0.0015389734 0.0014141918 0.017677398 0.0021628817 0.0014973796 0.032983944 0.002370851 0.038099993 0.01950753 0.014641045 0.01331004 0.04367357 0.006530239 0.0052824225 0.068172365 0.023417354 0.05939606 0.0032859163 0.021712003 0.012187006 0.022086348 0.023583729 0.008568339 0.0007486898 0.032443225 0.019715497 0.05332335 0.009524998 0.018384494 0.0049080774 0.008609933 0.0062390817 0.004408951 0.00016637551 0.0018717245 0.055070292 0.0010398469 0.0003743449 5.6404104 7.0 2.0 0.0 3.0 1167360.0 1179648.0 0.0 0.0 187.0 0.0 1.0 0.0 0.0 0.0 1541656300.0 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 7.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1077248.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1077248.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.887145 0.0 6.5800066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1073484.0 0.0 79076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 2.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 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 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 -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 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1073428.0 79076.0 1097728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 1064.0 4096.0 0.0 0.0 0.0 0.0