Input: 0.2056079 0.0058389115 0.004192739 0.0036538672 0.0051522483 0.0037539108 0.0026693465 0.0027216421 0.006264097 0.0022578035 0.0030104045 0.001807607 0.004599734 0.0032082181 0.0015529504 0.00698714 0.004133622 0.0019622198 0.0011641444 0.0015142971 0.0023601209 0.0018326179 0.0028512443 0.0019917781 0.003210492 0.0028239596 0.0025533868 0.0027557479 0.0037811955 0.0028466966 0.0029058135 0.002844423 0.023526175 0.0029467405 0.0030035833 0.0028330544 0.0060389987 0.00316047 0.0025238285 0.0029035397 0.003647046 0.0028671601 0.003565192 0.0063004764 0.0064710057 0.0050453832 0.004147264 0.004317793 0.0052227336 0.0026215985 0.0024306062 0.0049066865 0.0023487522 0.0022623509 0.00233511 0.0019485776 0.0021509386 0.002503365 0.0017393953 0.0031559225 0.0019917781 0.002221424 0.0018053332 0.002082727 0.0042905086 0.0034628748 0.0066006077 0.0024760806 0.0077988575 0.0073713986 0.0028830762 0.0022623509 0.0025511133 0.0026170511 0.0016757313 0.0014915599 0.0030740686 0.0036493198 0.0026034086 0.001921293 0.0055501494 0.0024442484 0.0024442484 0.002901266 0.0031400064 0.00316047 0.0033446413 0.0038380383 0.0014801914 0.0032264078 0.0010481847 0.0024192375 0.0013301258 0.0033173566 0.0021031904 0.0021623073 0.0010322686 0.0044610375 0.0013551367 0.0024306062 0.0034333162 0.006386878 0.003274156 0.0016598152 0.0037789217 0.0029240032 0.0033037143 0.0011323122 0.002519281 0.0020554424 0.0034424113 0.0036856993 0.0023078253 0.00096178334 0.0040881475 0.0045838184 0.009017571 0.0069098333 0.0014597279 0.0012869252 0.0011482283 0.0014392644 0.00072076905 0.0005820722 0.0011618707 0.0017780486 0.0016075197 0.0013483156 0.0033582835 0.002050895 0.001466549 0.007253165 0.0018917345 0.006159506 0.0007821595 0.0008640134 0.0016006985 0.006216349 0.0013801476 0.016045637 0.002275993 0.0076283286 0.0016734576 0.0008321813 0.0026329672 0.0018485339 0.0011300385 0.0008412762 0.0011073013 0.000989068 0.000559335 0.0004069958 0.000834455 0.0007389588 0.0006116305 0.0005297766 0.0007707909 0.0005957145 0.0004547439 0.00087083457 0.00095041475 0.0011300385 0.0007935281 0.0010936591 0.0012346297 0.0008617397 0.00046611248 0.0018689974 0.0012937464 0.0005502401 0.0009867942 0.00076624344 0.0009867942 0.0008048967 0.0005797985 0.0009094878 0.0010572795 0.00073441135 0.0023623945 0.007737467 0.0045042383 0.0016416254 0.0019872307 0.0014369907 0.0020236103 0.0012937464 0.0014392644 0.0007821595 0.0012846515 0.0011163963 0.00095496216 0.0008776557 0.005329598 0.0036856993 0.0023646683 0.0030695212 0.0027739378 0.0010959328 0.002503365 0.002528376 0.0023146465 0.002705726 0.001523392 0.0010731956 0.0057252254 0.000989068 0.0012778303 0.0014210746 0.0019235667 0.0013483156 0.0011755129 0.0014938337 0.0018780923 0.0011618707 0.0010209 0.00096405705 0.0020190629 0.0014870125 0.0011141226 0.0015279395 0.0017803223 0.0012118925 0.0014415381 0.003590203 0.004467859 0.0016416254 0.003979009 0.0039676405 0.0025101863 0.0035924767 0.003362831 0.0037539108 0.011418619 0.0060912943 0.0034628748 0.005243197 0.0067870524 0.002642062 0.0024101427 0.0022077817 0.003403758 0.0030035833 0.0013323996 0.0011755129 0.0012778303 0.0011823341 0.0025397446 0.0012596406 0.0034151266 0.0015347606 0.001352863 0.0008253602 0.0022873618 0.0021100116 0.015870562 0.08370698 0.0045861932 8.6704145e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064948252 1.5971817e-05 3.080279e-05 7.301402e-05 2.85211e-05 1.140844e-06 5.70422e-05 4.4492917e-05 1.140844e-06 0.0 0.0 0.0 0.0 0.0 9.126752e-06 0.00025326738 0.008469626 9.126752e-06 9.126752e-06 0.00010153512 2.1676036e-05 1.140844e-06 4.563376e-06 7.9859085e-05 7.985908e-06 3.422532e-06 0.0 0.0 1.2549284e-05 0.0 7.7577395e-05 0.00054760516 0.0060099666 0.00015173225 2.5098569e-05 0.00023387303 5.4760512e-05 3.9929542e-05 2.281688e-06 1.14084405e-05 1.140844e-06 1.140844e-06 2.2816881e-05 2.281688e-06 0.0 0.00012777453 0.0 0.00032514054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0053631077 0.0005521685 0.0015321536 8.0999926e-05 0.00014260551 0.00017226745 1.0267597e-05 0.00019736603 2.6239413e-05 9.6971744e-05 1.2549284e-05 3.5366164e-05 9.354921e-05 7.985908e-06 2.1676036e-05 0.0010005202 0.013644495 0.000373056 0.0033905886 0.00059437973 0.00072443596 0.00025783075 0.0012743227 0.00074725284 0.0002384364 0.00012092947 4.6774607e-05 7.8718236e-05 0.00014032381 3.1943633e-05 0.00015857733 0.0015424212 0.015115043 0.00036164757 0.0022200826 0.0005932389 0.0015196042 0.0005019714 0.003518363 0.0019417165 0.00011066187 0.00013576043 5.5901357e-05 8.3281615e-05 0.00017683083 7.073233e-05 7.5295706e-05 0.0015572521 0.034349672 0.002627364 0.008933949 0.0017238153 0.0040363064 0.0030015607 0.007858134 0.00400094 0.00034909826 0.0002509857 8.3281615e-05 0.00022360543 0.0002669575 0.00034567574 0.007685866 0.008374936 0.00719074 0.0015093366 0.002992434 0.00044378833 0.0009046893 0.0010849427 0.0013439143 0.00077805563 0.0006388727 0.00030688706 0.0003627884 0.0005316333 0.0006286051 0.0008134218 0.00815019 0.00736643 0.02479054 0.00812395 0.015020353 0.008268838 0.0057817977 0.0023432937 0.005090446 0.0034327998 0.003626743 0.0024026176 0.0011031962 0.012414665 0.0024619414 0.0031384618 0.012001679 0.023176247 0.013609129 0.0053847837 0.010539117 0.006554149 0.0066750785 0.002742589 0.0025475048 0.001938294 0.0037328417 0.0018367589 0.00239235 0.004829193 0.0047082636 0.005712206 0.011004582 0.023269797 0.009119907 0.0023432937 0.0056654317 0.0040705316 0.0038286727 0.0022622938 0.0020808994 0.001470548 0.003130476 0.0010358864 0.0008236894 0.0023296035 0.0024596597 0.002443688 0.0033563632 0.011990271 0.07591405 0.010316652 0.024499625 0.010212836 0.018555827 0.017518802 0.014584551 0.015131014 0.025850385 0.0051258123 0.0046398127 0.0061731073 0.015329521 0.006590656 0.013415185 0.028198242 0.0270882 0.005575305 0.005502291 0.005844544 0.0110901445 0.0098329345 0.0046922914 0.007895782 0.018345913 0.0016291253 0.0022988007 0.002707223 0.010179752 0.0037328417 0.007827331 0.013607988 0.010418188 0.0041207285 0.0030175324 0.0029171382 0.0034419266 0.0042462214 0.0039119544 0.002793927 0.0056118118 0.0020021813 0.0034624618 0.0018812518 0.0040055034 0.0020831812 0.0038822922 0.005287812 1472.0 9.849185 14498.0 0.085598014 0.004897227 0.0035867016 0.0037246516 0.010760105 0.004207477 0.0034487515 0.0091047045 0.0050351773 0.004138502 0.004000552 0.004966202 0.0074493033 0.0048282524 0.011725755 0.003931577 0.0057939026 0.0045523522 0.004000552 0.0032418265 0.0036556767 0.002345151 0.0027590012 0.0034487515 0.0032418265 0.004690302 0.004345427 0.0050351773 0.0048282524 0.004138502 0.0031728514 0.0055869776 0.0153124565 0.008552904 0.003931577 0.0091047045 0.008414954 0.008690854 0.005173127 0.0077941786 0.0058628777 0.008483929 0.0026900263 0.0026900263 0.0075872536 0.004483377 0.0077941786 0.0037936268 0.018692233 0.0034487515 0.006345703 0.012484481 0.014484757 0.007863154 0.010001379 0.010070355 0.0029659264 0.0035867016 0.002207201 0.0075182784 0.007863154 0.0036556767 0.002000276 0.012691406 0.004483377 0.03717754 0.0091047045 0.024141261 0.025934612 0.060560077 0.01110498 0.009242654 0.010139329 0.026072562 0.008208029 0.0032418265 0.023520486 0.015105532 0.028624637 0.040143467 0.012967306 0.002138226 0.043385293 0.03345289 0.048903298 0.017174782 0.0057939026 0.0037936268 0.004621327 0.008621879 0.0022761761 0.0009656504 0.0018623258 0.0015174507 0.0008966754 0.002345151 5.859168 1.0 0.0 0.0 3.0 439808.0 491520.0 1.0 0.0 68.0 0.0 1.0 0.0 0.0 0.0 1415279600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 157184.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -157184.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4324503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1265674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8461576 0.0 6.0929637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156875.0 0.0 163528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 269556.0 163528.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164240.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 262928.0 0.0 0.0 276.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.6083855 0.005185637 0.002775506 0.0033554123 0.003945375 0.0017598316 0.0014883147 0.0016525657 0.0036302812 0.001558708 0.0014916668 0.0011966855 0.0026380713 0.0016324533 0.0013005993 0.0024805246 0.0028894758 0.0009419289 0.00090505625 0.00097209745 0.0021855433 0.0017799439 0.0010793634 0.00095533713 0.0016793822 0.0011430525 0.00092181657 0.0014212736 0.0016089889 0.0010793634 0.0011162361 0.0015788203 0.0049342327 0.0010860675 0.0016123409 0.001223502 0.0029196444 0.0009989139 0.0008514233 0.0012167979 0.0011832772 0.00089500006 0.0008313109 0.0012804869 0.0011866293 0.0012033896 0.0023632024 0.0010089701 0.0025777342 0.0022693446 0.0023330338 0.003398989 0.0021888954 0.0018805057 0.001957603 0.0020212922 0.0016827342 0.0018067604 0.0017330151 0.002507341 0.0018469852 0.0024570602 0.0016291012 0.0018503373 0.002453708 0.0020447567 0.0044213673 0.0047967983 0.0028224348 0.0029263485 0.001954251 0.0019911237 0.0017497754 0.0017330151 0.0012000375 0.0011966855 0.0017531274 0.0019710113 0.0019441949 0.0013542323 0.0031375284 0.0012402623 0.001169869 0.0023095694 0.0015084271 0.0015888765 0.0020816294 0.0018738017 0.0013039514 0.0019140263 0.0007106368 0.0015419477 0.0009888577 0.0013844009 0.0014413858 0.0012637267 0.0010860675 0.0025341576 0.0008748877 0.002014588 0.0019743633 0.0046895323 0.0013776968 0.0011799252 0.002346442 0.002497285 0.0021587268 0.0009184645 0.0023833148 0.001337472 0.0024637643 0.0026280151 0.0017129028 0.0007977903 0.0033688205 0.0024268916 0.0056012925 0.004404607 0.0017598316 0.001722959 0.0012302061 0.0012603747 0.0007005806 0.0008447192 0.0009687454 0.0012302061 0.0009653933 0.0011464045 0.0023095694 0.0010123221 0.0006938765 0.0038682774 0.001391105 0.0021486706 0.00067711616 0.00075421354 0.0014648503 0.0028626593 0.0011665169 0.007914214 0.0008514233 0.0025106932 0.00050951313 0.00081119855 0.0009117604 0.0004793446 0.0005195693 0.00068717235 0.0006637079 0.00061007496 0.00057655433 0.00052627345 0.0007475094 0.0004692884 0.00048940076 0.00054303376 0.00055308995 0.00049945695 0.0005866105 0.00057320227 0.000724045 0.0009352248 0.00060337083 0.00082125474 0.0007307491 0.00064359553 0.000556442 0.00061007496 0.0007307491 0.00054303376 0.00061007496 0.00065029965 0.00068717235 0.0005966667 0.0005799064 0.00058325846 0.00074415735 0.00061007496 0.0006469476 0.0006067229 0.00076426973 0.00053632964 0.0006637079 0.00078773417 0.000891648 0.0004357678 0.00062013115 0.00063018734 0.000834663 0.00062013115 0.00083801505 0.0006737641 0.0028257868 0.0010827155 0.0008849439 0.002007884 0.0015888765 0.00063018734 0.0011665169 0.0013776968 0.0013341199 0.0011397004 0.0007005806 0.00066705997 0.002617959 0.0005631461 0.0005698502 0.0007374532 0.0011329963 0.0010458428 0.0007910862 0.00085477537 0.0007139888 0.00057655433 0.0008815918 0.00078773417 0.001169869 0.0006469476 0.0006000188 0.0007575656 0.00068717235 0.0006637079 0.0011464045 0.0010123221 0.0014447379 0.00064359553 0.0005866105 0.0007005806 0.0015821724 0.00056649814 0.0007676218 0.00067041203 0.0043174536 0.0009586892 0.0010458428 0.0015687642 0.001555356 0.0006167791 0.0006167791 0.00056649814 0.001619045 0.00063018734 0.0006737641 0.00093187275 0.0010156742 0.0006335394 0.0009519851 0.0010860675 0.0019810675 0.0009419289 0.00076426973 0.0007910862 0.0020883335 0.0008715356 0.0017263109 0.019780507 0.48965013 1.6837284e-06 0.0 0.0 1.6837284e-06 0.0 1.6837284e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033068426 1.6837284e-05 1.6837284e-05 5.0511853e-06 1.8521014e-05 1.6837284e-06 2.5255928e-05 2.0204741e-05 5.0511853e-06 1.6837284e-06 3.3674569e-06 3.3674569e-06 1.0102371e-05 3.3674569e-06 5.0511853e-06 5.0511853e-06 0.0063729123 6.903287e-05 2.8623384e-05 2.8623384e-05 7.745151e-05 2.5255928e-05 6.229795e-05 3.0307112e-05 0.00010102371 8.418642e-06 8.418642e-06 1.5153556e-05 1.34698275e-05 6.7349138e-06 1.1786099e-05 3.7042028e-05 0.012163254 0.00016668912 0.0001245959 9.260506e-05 0.00024414062 5.556304e-05 0.00011449354 0.00016500539 0.00020204742 3.53583e-05 3.7042028e-05 5.219558e-05 4.2093212e-05 5.0511855e-05 5.724677e-05 0.00019026131 0.0055815596 5.556304e-05 4.8828126e-05 8.0818965e-05 5.556304e-05 4.5460667e-05 6.0614224e-05 9.260506e-05 0.00010775862 2.3572198e-05 2.5255928e-05 3.367457e-05 3.7042028e-05 1.8521014e-05 0.00014311692 0.00048659754 0.0028000404 2.3572198e-05 1.0102371e-05 3.7042028e-05 5.724677e-05 9.260506e-05 3.8725753e-05 2.6939655e-05 0.00013301455 3.199084e-05 1.0102371e-05 6.7349138e-06 3.199084e-05 3.8725753e-05 2.8623384e-05 8.0818965e-05 0.012171673 0.00028623384 0.00023403825 0.0050495015 0.00480031 0.00019026131 0.0004209321 0.000272764 7.2400326e-05 2.3572198e-05 8.0818965e-05 3.8725753e-05 2.188847e-05 8.587015e-05 0.00014311692 0.00024582434 0.02744309 0.00076104526 0.002133284 0.0011701912 0.00092099945 0.00025929417 0.004061153 0.0022410427 0.0006027748 0.0001414332 0.00016500539 0.00011280981 0.00038220634 0.00014480065 0.0003434806 0.0073932516 0.013983365 0.00042935077 0.0011028422 0.0009479391 0.0012914197 0.00048154633 0.0018756735 0.0014160157 0.0007778825 8.755388e-05 8.9237605e-05 0.00010607489 0.00012796336 6.0614224e-05 0.00027613147 0.0010843212 0.010171403 0.00046134158 0.0010725351 0.0015978583 0.0027562634 0.0010742188 0.0059300917 0.0030542833 0.00024582434 9.765625e-05 7.07166e-05 9.597252e-05 0.00013469828 0.00010775862 0.00014480065 0.0005707839 0.004340652 8.0818965e-05 0.0004680765 0.00021551724 0.0012392241 0.0004849138 0.00332368 0.0020322602 0.00011280981 8.4186424e-05 8.4186424e-05 7.2400326e-05 6.398168e-05 0.00011449354 7.4084055e-05 0.0010018185 0.0032479123 0.00052195584 0.00051185343 0.0049131196 0.0008485991 0.00047649516 0.0005977236 0.00037547146 0.00028791756 0.00028623384 0.00028791756 0.00024582434 0.00025929417 0.00029970365 0.00030643857 0.00032664332 0.0069790543 0.0011516702 0.0008081897 0.0018689386 0.0014614763 0.00080145476 0.0016349003 0.0014143318 0.0010203394 0.0002828664 0.00025592672 0.00038220634 0.0006465517 0.00051185343 0.0006095097 0.00086038525 0.011117659 0.0019447063 0.0023403824 0.0018066406 0.0039550783 0.0032967404 0.0022797682 0.0031418372 0.006527815 0.000527007 0.0006802263 0.0007391568 0.0031081627 0.001183661 0.0020305766 0.003596444 0.023940936 0.00565396 0.00515726 0.0055108434 0.008959119 0.009014682 0.0037530307 0.0068797143 0.01367861 0.0010573815 0.001581021 0.001606277 0.007608769 0.0031233162 0.00663389 0.01308257 0.011006533 0.01065295 0.010728718 0.010900458 0.009678071 0.009198208 0.008280576 0.0089877425 0.0071390085 0.0066945045 0.007213093 0.0073612607 0.0074336613 0.0076862206 0.007354526 0.007615504 1453.0 10.807295 15703.0 0.029102718 0.0028656945 0.003884608 0.0022288735 0.004585111 0.002547284 0.002547284 0.005094568 0.0033114692 0.0021651913 0.0022288735 0.0030567409 0.003184105 0.0041393363 0.012354327 0.0039482904 0.017830988 0.017066803 0.017130485 0.015665796 0.014392154 0.008788129 0.009170222 0.009615997 0.008851812 0.00910654 0.009424951 0.009424951 0.007960263 0.01700312 0.009361269 0.009233904 0.006877667 0.016939439 0.007259759 0.023689741 0.018404126 0.008660765 0.010762274 0.016557345 0.008278673 0.014201108 0.0054766606 0.0073234416 0.009361269 0.007896581 0.016939439 0.0070050308 0.014328472 0.0036935618 0.0054129786 0.012481691 0.005858753 0.0029293764 0.007196077 0.008533401 0.008342355 0.0028656945 0.0027383303 0.009233904 0.0040756543 0.0027383303 0.0033114692 0.0036298796 0.0047124755 0.026173342 0.005667707 0.021078775 0.014455836 0.05432083 0.0061134817 0.007960263 0.008660765 0.02757435 0.002674648 0.0035661976 0.022352416 0.010953321 0.023880787 0.028402217 0.012418009 0.002610966 0.03527988 0.021651914 0.042221233 0.013182195 0.0074508055 0.007259759 0.005731389 0.008214991 0.0030567409 0.0029293764 0.002483602 0.0021015094 0.002610966 0.0019741452 6.1419115 0.0 1.0 0.0 6.0 298324.0 348160.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 1099778400.0 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 -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 5.0 1.0 6.0 4.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 181248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -109056.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.461667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8134696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4644375 0.0 3.549142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180969.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110926.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 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 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 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 197212.0 1932.0 57344.0 24.0 17360.0 0.0 0.0 3264.0 232960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.03133597 0.004815863 0.0053614876 0.0037521245 0.005392055 0.0047532003 0.003330297 0.0039737364 0.004568269 0.0048999228 0.003715444 0.0037093302 0.0035534375 0.0024698302 0.0043390146 0.003602345 0.0040746084 0.0040837787 0.0055464194 0.003351694 0.0031927447 0.0035748347 0.0030490786 0.0039569247 0.003738369 0.004152555 0.0023445047 0.0035549658 0.00397068 0.004178537 0.0030322666 0.0045117196 0.0048265615 0.0038682797 0.003750596 0.0042748237 0.005998814 0.0051383474 0.0028947142 0.0040791933 0.0027006126 0.0028274665 0.0031132698 0.0033409954 0.0028366367 0.0027128395 0.004202991 0.003738369 0.0038621663 0.0032523507 0.0033211268 0.0046630274 0.0020800983 0.0025844572 0.0030827026 0.0036497242 0.004099062 0.0035457958 0.003908017 0.0063121277 0.0032844462 0.003160649 0.0040272293 0.0053569027 0.0040761367 0.004037928 0.0031331384 0.0035580227 0.0039003755 0.0030597772 0.003058249 0.0043680537 0.0043008057 0.004823505 0.0032401236 0.004421546 0.0030108697 0.0023399196 0.0044246027 0.003975265 0.0027403499 0.0026196095 0.002723538 0.0035137003 0.0035702495 0.003999719 0.002838165 0.0038025603 0.0028656754 0.002816768 0.0026226663 0.003996662 0.0031698192 0.004997738 0.0030368518 0.0040837787 0.0041800654 0.0034296403 0.0031193832 0.0033104282 0.004144913 0.0027158961 0.002257388 0.0057802587 0.0021733283 0.0024407913 0.0018340324 0.004296221 0.004004304 0.0026792155 0.0041342145 0.004013474 0.003978322 0.003457151 0.0027663321 0.0047959946 0.0046477434 0.00512612 0.006017154 0.007085478 0.0033165417 0.002943622 0.0025783437 0.003932471 0.005515852 0.0024728868 0.0040791933 0.0061333096 0.004386394 0.004236615 0.004815863 0.0034113 0.0039263577 0.003046022 0.0029604337 0.0040807216 0.0035870615 0.0038285425 0.0031744041 0.0029803026 0.0042794086 0.0034265837 0.003915659 0.003470906 0.004132686 0.004242728 0.0055601746 0.003487718 0.002295597 0.0026486483 0.0025569466 0.0037796348 0.0030658906 0.0033715628 0.002049531 0.0028396933 0.0035549658 0.006104271 0.0037322557 0.0050986097 0.003105628 0.0025095674 0.002608911 0.0026410066 0.0030949295 0.0021870835 0.0023903553 0.0042106323 0.0024377345 0.00293598 0.0043176175 0.003007813 0.002659347 0.0038300708 0.004204519 0.003741426 0.003805617 0.0031667624 0.0033608642 0.0033975448 0.0022650298 0.0038973186 0.003428112 0.004225916 0.0032340102 0.0036283273 0.0055265506 0.006944869 0.002795371 0.0032508222 0.003912602 0.004971756 0.0044857375 0.0043588835 0.003729199 0.004163253 0.0037796348 0.003232482 0.0045896657 0.0033440522 0.0041433848 0.0045713256 0.0019257339 0.0021886118 0.0033608642 0.002689914 0.0055662883 0.0048938096 0.0030704758 0.002770917 0.0028030127 0.0031361952 0.002018964 0.0033883746 0.0037368408 0.004068495 0.0039737364 0.0040073604 0.0036466676 0.00350453 0.0037765782 0.0071848216 0.0030765892 0.0048815827 0.004739445 0.0043726387 0.003903432 0.0051184786 0.004459755 0.0018187487 0.003924829 0.0046813674 0.0038254857 0.00387745 0.0034586792 0.0035855332 0.004323731 0.0046691406 0.0068653943 0.0042060474 0.0049259053 0.0056488193 0.0039019038 0.0038239574 0.003359336 0.0018722413 0.0029497354 0.0038591097 0.0073880935 0.0049060364 0.0026868572 0.00302921 0.0068791495 0.0033333537 0.0063151848 0.0066147433 0.015684023 1.5330652e-06 0.0 2.2995978e-06 1.5330652e-06 0.0 7.665326e-07 1.5330652e-06 7.665326e-07 0.0 7.665326e-07 7.665326e-07 0.0 3.0661304e-06 1.5330652e-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 0.0014656102 1.0731456e-05 1.6863716e-05 7.665326e-07 1.3797587e-05 3.832663e-06 2.2229444e-05 1.1497988e-05 2.2995978e-06 7.665326e-07 7.665326e-07 6.1322608e-06 3.0661304e-06 3.832663e-06 5.365728e-06 2.2995978e-06 0.002779447 3.0661304e-06 2.6062107e-05 3.8326627e-05 4.2925825e-05 2.6062107e-05 0.00015024039 5.672341e-05 3.0661304e-06 1.5330652e-06 3.0661304e-06 4.5991956e-06 0.0 0.0 3.0661304e-06 1.5330652e-06 0.0025924132 0.00018320128 9.964924e-05 2.2229444e-05 1.1497988e-05 2.8361705e-05 6.438874e-05 6.285567e-05 3.1427837e-05 9.198391e-06 7.665326e-06 9.198391e-06 3.832663e-06 1.1497988e-05 7.665326e-07 1.5330652e-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 0.0004614526 0.0006377551 0.000470651 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007849294 0.0 0.0 0.0002353255 0.00032117715 0.00022842671 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010302198 9.505004e-05 6.82214e-05 4.369236e-05 3.1427837e-05 1.9163313e-05 6.285567e-05 2.1462913e-05 3.909316e-05 3.29609e-05 2.2995977e-05 2.5295574e-05 2.2229444e-05 2.7595173e-05 1.6863716e-05 1.0731456e-05 0.00089607656 0.00015253999 4.4458888e-05 3.909316e-05 6.898793e-05 5.5956876e-05 0.00014717426 0.00011344682 1.6097185e-05 4.5991956e-06 6.1322608e-06 5.365728e-06 8.431858e-06 5.365728e-06 1.5330652e-06 4.5991956e-06 0.0012870082 0.00025755496 0.00017017023 0.000118812546 0.00033497473 0.0002353255 0.0012111214 0.00079182815 5.059115e-05 3.4493965e-05 3.52605e-05 3.219437e-05 0.00010424843 2.5295574e-05 3.832663e-06 1.6863716e-05 0.00085391727 9.964924e-05 9.42835e-05 8.738472e-05 0.00019239968 0.00014640772 0.0005902301 0.0003648695 0.00010271536 0.00010271536 7.6653254e-05 7.741979e-05 0.00022076139 4.5991954e-05 4.369236e-05 4.0626226e-05 0.0005488373 3.6793565e-05 3.909316e-05 4.139276e-05 8.738472e-05 7.818632e-05 0.0002989477 0.0001648045 4.9058086e-05 3.219437e-05 3.602703e-05 3.219437e-05 9.121738e-05 1.6863716e-05 9.964923e-06 6.8987933e-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 0.00036410298 9.6583106e-05 7.358713e-05 9.3516974e-05 6.898793e-05 8.661818e-05 0.00018320128 0.00015253999 2.6062107e-05 3.602703e-05 4.139276e-05 6.208914e-05 4.2925825e-05 7.1287526e-05 5.2124215e-05 0.000118812546 0.06488315 0.059553448 0.0598409 0.058563087 0.057135805 0.051464997 0.051928747 0.06730539 0.05938711 0.058445808 0.049805455 0.061741132 0.060710914 0.05901381 0.06789639 0.07150752 2753.0 7.4173627 20420.0 0.012095984 0.008619001 0.008863859 0.0096963765 0.011704211 0.008765915 0.0057786484 0.009598433 0.0057296767 0.00553379 0.006513222 0.0045543583 0.0058765914 0.0052399607 0.010528893 0.0057786484 0.012928502 0.011508325 0.013271303 0.01194907 0.007394711 0.008667973 0.011361411 0.014005876 0.011606269 0.009157688 0.009598433 0.011753183 0.0074436828 0.0052399607 0.010822723 0.008619001 0.008423114 0.01660137 0.01165524 0.011900098 0.012487757 0.009549461 0.011557297 0.013614104 0.01410382 0.014152791 0.011753183 0.012144956 0.00920666 0.008814887 0.013124388 0.012487757 0.011263467 0.008814887 0.012047012 0.012928502 0.0125857005 0.012193928 0.010871694 0.012536729 0.00920666 0.008129285 0.008765915 0.006464251 0.0066111656 0.009059745 0.006317336 0.008129285 0.009353575 0.012536729 0.01101861 0.012536729 0.011410382 0.021939276 0.006464251 0.016454456 0.005582762 0.013418217 0.0040646424 0.009255632 0.013369245 0.008765915 0.012683643 0.014642508 0.010871694 0.0062193926 0.016454456 0.01562194 0.020959843 0.013712047 0.010969638 0.018315377 0.0075905975 0.007296768 0.0071008815 0.0053868755 0.012928502 0.0039666994 0.011851126 0.009549461 6.5046706 1.0 0.0 0.0 5.0 654296.0 663552.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1309560800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 638976.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9438057 0.0 3.0456812 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 -635508.0 0.0 688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 643608.0 688.0 647168.0 0.0 0.0 0.0 0.0 12.0 655360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.16837199 0.09719723 0.17059578 0.13664103 0.1400462 0.1537702 0.00045902096 0.00047182234 0.0005431443 0.00036026744 0.00045810657 0.0003968428 0.0005074833 0.0004197024 0.00037672636 0.0005029114 0.0005147984 0.0003968428 0.00041787364 0.00047182234 0.00038769896 0.00042884628 0.0003968428 0.0003337503 0.00044164766 0.0003675825 0.0003913565 0.0003447229 0.0004279319 0.0003273496 0.00034655168 0.0004087298 0.0005184559 0.00038404143 0.00041695926 0.00038404143 0.0012545354 0.0003748976 0.00042335995 0.0003099763 0.0004334182 0.0003675825 0.0003575243 0.0003849558 0.0004023291 0.00032552084 0.00041787364 0.00044073327 0.00039318527 0.00052759977 0.00041330172 0.00032369207 0.0003858702 0.00037032567 0.00032369207 0.00038861335 0.0004032435 0.00054131553 0.00038221266 0.00038404143 0.00036026744 0.0003108907 0.00045353465 0.00032917838 0.00039958596 0.0003675825 0.0005504594 0.00046725041 0.00081928837 0.003375907 0.0003794695 0.00046725041 0.0033320165 0.0004571922 0.00040507226 0.0026791461 0.0008768946 0.00047822302 0.00040141473 0.0004087298 0.00060989434 0.00033192153 0.0004681648 0.0004087298 0.0004206168 0.00042701748 0.00036575375 0.0033247015 0.0004955963 0.00031546262 0.00044347643 0.0003913565 0.00048645248 0.0003575243 0.00031454823 0.00044621958 0.00036941128 0.00036118182 0.00042518871 0.00029443175 0.00045353465 0.004322295 0.00040415788 0.0033439037 0.0013176278 0.0004507915 0.002174406 0.00039409965 0.0004562778 0.00045262027 0.00040507226 0.00050656893 0.00043799012 0.00044164766 0.002419461 0.0004681648 0.0014438129 0.0003977572 0.0003575243 0.004354298 0.00043067505 0.0004562778 0.00041238734 0.0003273496 0.0004142161 0.00035203798 0.00034838045 0.00033192153 0.00040598665 0.00040050034 0.00044621958 0.0004983395 0.0004855381 0.0003913565 0.00043250382 0.0003172914 0.00040415788 0.0008394048 0.00034106537 0.0008229459 0.0004507915 0.00035295237 0.0003566099 0.00035935306 0.00042518871 0.00037672636 0.0004197024 0.00039044212 0.0003794695 0.0003456373 0.00035569552 0.0003968428 0.00048096618 0.0003337503 0.00039592842 0.0004453052 0.00035843867 0.00028803106 0.0005303429 0.00036483936 0.00041787364 0.0003566099 0.00041330172 0.00036666813 0.00047822302 0.0003511236 0.00042518871 0.00037215443 0.0003748976 0.00033283592 0.00035935306 0.00037672636 0.00042701748 0.00050565455 0.0005010826 0.00039409965 0.00039044212 0.0003803839 0.00032643523 0.00037124005 0.00044896273 0.00034655168 0.00043067505 0.0003035756 0.0003803839 0.0004562778 0.0004681648 0.0003849558 0.00048645248 0.0003739832 0.00047822302 0.0004087298 0.00039409965 0.00045902096 0.00056326075 0.0004507915 0.00048919563 0.00047090795 0.0004800518 0.00059709296 0.00038404143 0.0003803839 0.00043433259 0.00041695926 0.00044804835 0.00040415788 0.00042153118 0.00041055857 0.00050474016 0.00044987712 0.00044804835 0.00038678458 0.0003392366 0.00030448998 0.00039867157 0.00031820577 0.00047182234 0.00040781542 0.00045810657 0.00042244556 0.0003739832 0.00031363385 0.00046725041 0.0003748976 0.00043250382 0.00037215443 0.00037581197 0.0003968428 0.0004087298 0.00042427433 0.00049376755 0.00044804835 0.00048828125 0.00052302785 0.0003968428 0.00041147295 0.00041787364 0.0003684969 0.00039867157 0.00042518871 0.00045170588 0.00035843867 0.0005824628 0.00040415788 0.0004974251 0.00043799012 0.0004151305 0.00034106537 0.0004398189 0.00036392498 0.00041695926 0.00043707574 0.00035386675 0.0004087298 0.00043616135 0.00073973695 0.69623506 6.4066894e-06 6.4066894e-06 7.779551e-06 1.0067654e-05 6.86431e-06 8.694793e-06 3.6609654e-06 5.491448e-06 8.694793e-06 7.3219308e-06 5.9490685e-06 1.0067654e-05 7.779551e-06 6.86431e-06 7.779551e-06 0.009016957 2.1965792e-05 2.8830102e-05 2.0135309e-05 2.6084377e-05 1.7389586e-05 4.2101103e-05 2.791486e-05 2.3338655e-05 1.8304827e-05 1.967769e-05 2.4711517e-05 2.3796274e-05 1.7847206e-05 1.967769e-05 2.3338655e-05 0.01045709 7.047358e-05 5.7202582e-05 5.9033067e-05 5.8575446e-05 4.988065e-05 4.3931585e-05 5.8575446e-05 4.2101103e-05 5.399924e-05 5.399924e-05 4.301634e-05 5.399924e-05 5.7202582e-05 4.072824e-05 4.667731e-05 0.009215565 6.498214e-05 6.498214e-05 7.688027e-05 7.2304065e-05 7.642265e-05 6.223641e-05 7.5049786e-05 6.086355e-05 7.688027e-05 6.543975e-05 8.4202205e-05 6.910072e-05 8.0541235e-05 8.6947926e-05 7.688027e-05 0.0071498654 5.6287343e-05 7.367693e-05 6.4524516e-05 0.00011532041 9.5185096e-05 0.00021233599 0.00014918434 6.4066895e-05 5.4456857e-05 6.543975e-05 5.9948306e-05 6.3609274e-05 6.223641e-05 7.047358e-05 7.8253135e-05 0.015282243 0.00021965792 0.00021599696 0.00021416647 0.00023567464 0.00022057316 0.00030523297 0.0002434542 0.00021782743 0.00021965792 0.00020913265 0.00020867502 0.0002237765 0.00023430178 0.00023292891 0.00026084378 0.00858359 0.0001285914 0.00015970961 0.00012584568 0.00028692815 0.00018304827 0.00034046976 0.0002301832 0.00014552337 0.00012813379 0.00014735386 0.00013545572 0.00013865906 0.00014048954 0.00015787913 0.00021462409 0.0182252 0.00028280957 0.00025855566 0.00025992855 0.0024848802 0.0013046765 0.003568526 0.0024857954 0.00023064081 0.00024665752 0.00027182666 0.00026221664 0.0002722843 0.00024665752 0.00025947092 0.0002677081 0.02161068 0.00024299657 0.0002590133 0.00026221664 0.0038559118 0.0020959026 0.0062602507 0.0045121396 0.0002411661 0.0002658776 0.0002677081 0.0002613014 0.00029333486 0.00025809807 0.00028189432 0.00026862332 0.017198758 0.0006685838 0.0006859734 0.0006447875 0.0008525473 0.00059078826 0.0005912459 0.0006447875 0.0006566857 0.0006003983 0.0006525671 0.0006287708 0.0007532436 0.0006246522 0.00066355 0.0007216678 0.026873773 0.0011161368 0.0011381026 0.001133984 0.0036458638 0.0013710315 0.0013609639 0.0013504386 0.0012959817 0.0013316761 0.0013678282 0.0013435743 0.001414963 0.0013508962 0.0013422014 0.0012973546 0.0096603725 0.00059444923 0.0006251098 0.0005871273 0.0006223641 0.0006008559 0.00059033063 0.0006223641 0.0005569243 0.0005885002 0.000620076 0.0005999407 0.0006489061 0.0005953645 0.0006196184 0.0006118388 0.009799032 0.0007573622 0.00076788745 0.0007463793 0.0009102075 0.00078802276 0.0007779551 0.0008328696 0.00071480346 0.000766057 0.0007820737 0.0007353964 0.0008044971 0.00076148077 0.00082417484 0.0007875652 0.0051001823 0.0006168727 0.0010822729 0.000633347 0.00093308854 0.00069192244 0.0005752292 0.000659889 0.0012506773 0.00054319575 0.0004914846 0.000566992 0.00072532875 0.0005711106 0.0006809395 0.0008099886 0.0043602097 0.000752786 0.0009875454 0.00066034665 0.00094910525 0.000762396 0.0006759057 0.00072258303 0.001073578 0.0006328894 0.0006475332 0.0006704143 0.0008328696 0.0006557704 0.00072807446 0.0008205139 0.0023000014 0.00079992093 0.00078664994 0.0007980904 0.0008113614 0.0007591927 0.0007234983 0.00078253134 0.00072807446 0.0007532436 0.00078802276 0.00080953096 0.0008726826 0.0007797856 0.00077200605 0.00079351425 1476.0 7.335366 10827.0 0.003325021 0.0018472337 0.0012930636 0.0016625104 0.0030479357 0.0015701487 0.0015701487 0.0018472337 0.001754872 0.002031957 0.003602106 0.0024937657 0.0025861273 0.0018472337 0.0031402975 0.0027708507 0.0024937657 0.0023090423 0.002031957 0.0028632123 0.0022166804 0.0030479357 0.001754872 0.0024937657 0.003232659 0.0037868293 0.0021243189 0.0024014038 0.001477787 0.001754872 0.0016625104 0.0024014038 0.0027708507 0.004063914 0.003232659 0.0030479357 0.0026784888 0.0030479357 0.0013854253 0.004156276 0.0016625104 0.003509744 0.0027708507 0.0022166804 0.0042486377 0.003602106 0.0030479357 0.0018472337 0.0042486377 0.0025861273 0.0034173825 0.004525723 0.004063914 0.003602106 0.0026784888 0.004433361 0.0031402975 0.0021243189 0.003232659 0.002031957 0.001754872 0.0019395954 0.0019395954 0.0022166804 0.0025861273 0.0036944675 0.0023090423 0.0026784888 0.0039715525 0.10224439 0.0022166804 0.0021243189 0.091992244 0.0048951693 0.18232197 0.0031402975 0.006188233 0.002955574 0.0039715525 0.004525723 0.0030479357 0.002955574 0.18361504 0.004433361 0.09633324 0.003232659 0.0023090423 0.097256854 0.0025861273 0.0018472337 0.0028632123 0.0012007019 0.0019395954 0.001477787 0.0018472337 0.0015701487 4.2775097 0.0 0.0 0.0 4.0 1093632.0 1101824.0 1.0 0.0 25.0 0.0 1.0 0.0 0.0 0.0 1017693100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -798720.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.922343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5234253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.167919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7595701 0.0 3.4327092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 245396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -797746.0 0.0 1272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4097.0 4096.0 4277.0 848004.0 1272.0 1097728.0 0.0 0.0 0.0 0.0 0.0 0.0 55.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132.0 847872.0 0.0 0.0 0.0 0.0


Input: 0.60502934 0.0036126291 0.0024893747 0.0030257034 0.00410848 0.0024185388 0.0025096135 0.0023983 0.007974095 0.0019935237 0.0020441206 0.0023679417 0.0033495245 0.0017405384 0.0019429266 0.0026209268 0.007913378 0.0015786279 0.0018619712 0.0016292249 0.0021149565 0.001781016 0.0019328072 0.0016697025 0.0050293463 0.0017911354 0.001163732 0.0020340013 0.0024488969 0.0012952844 0.001234568 0.0014167173 0.0038554948 0.005019227 0.0011536126 0.0018214936 0.0025197328 0.0013458814 0.0010220603 0.0012042096 0.0023578224 0.0031066586 0.00086014974 0.0012548068 0.0019631654 0.0015583889 0.001285165 0.001386359 0.0021655536 0.0028131958 0.0012548068 0.0013054038 0.0016899413 0.001113135 0.001113135 0.0011738514 0.0017506578 0.0024185388 0.0010827768 0.0019125683 0.0015887473 0.0011030156 0.0007994333 0.0010726574 0.0020947177 0.002995345 0.0038251367 0.0018012548 0.0013964785 0.0017911354 0.0014571949 0.0010422991 0.0014976725 0.0016089861 0.0018113742 0.0011333738 0.0012952844 0.0015988667 0.0010018215 0.0010726574 0.0026310463 0.0015179113 0.0021250758 0.0014571949 0.0012548068 0.0013560008 0.001163732 0.0017405384 0.0015786279 0.0012548068 0.0022060312 0.0014065979 0.0010321797 0.001214329 0.0009006274 0.0010726574 0.001386359 0.002155434 0.0010018215 0.00257033 0.001953046 0.0018113742 0.0016292249 0.0011434932 0.0016899413 0.0011940902 0.0011940902 0.0017708966 0.0020441206 0.0016089861 0.001386359 0.0016595831 0.0016089861 0.0009006274 0.0016191055 0.0023173448 0.0022971057 0.002469136 0.0012446874 0.0013560008 0.0014065979 0.001386359 0.0007994333 0.0015280307 0.0012952844 0.001234568 0.0010625379 0.0013458814 0.0019732849 0.0015482695 0.0016798219 0.002499494 0.003096539 0.0011940902 0.0011738514 0.0009917021 0.0014571949 0.002327464 0.0017000607 0.002671524 0.0016595831 0.0015482695 0.0009512245 0.0009107468 0.001953046 0.0009714633 0.0010321797 0.0010625379 0.0013560008 0.0006780004 0.0014065979 0.000941105 0.0009107468 0.000617284 0.0009006274 0.0010321797 0.0011333738 0.0008702692 0.00072859746 0.00081967213 0.0011434932 0.0009309856 0.000890508 0.00076907506 0.00086014974 0.0011839708 0.0009309856 0.0007893139 0.0012649262 0.0006375228 0.0009917021 0.0007994333 0.0011434932 0.001214329 0.000941105 0.0006780004 0.0018012548 0.001335762 0.0011232544 0.001214329 0.00080955273 0.0012042096 0.0014673143 0.0013054038 0.0012042096 0.0010422991 0.0011839708 0.0011940902 0.0008702692 0.0013256426 0.0010726574 0.001730419 0.0017607772 0.001335762 0.0013560008 0.0018417324 0.0011940902 0.0009917021 0.0023881805 0.0013964785 0.0014470755 0.0011030156 0.0006274034 0.0010524185 0.0009815827 0.0010321797 0.0010827768 0.0009006274 0.0016191055 0.0009714633 0.000890508 0.0009714633 0.001163732 0.0006780004 0.0013458814 0.0011940902 0.0016697025 0.0011030156 0.0010220603 0.0019429266 0.000890508 0.0009006274 0.0010119409 0.0011232544 0.0013762396 0.0010119409 0.000941105 0.001214329 0.0014065979 0.0006375228 0.0005768063 0.0008803886 0.001234568 0.0010321797 0.0008702692 0.002327464 0.001285165 0.0011434932 0.000941105 0.0011232544 0.0020340013 0.0009107468 0.00075895566 0.00085003034 0.0009512245 0.0005464481 0.0013054038 0.0013661202 0.0017708966 0.000890508 0.00081967213 0.0012446874 0.0013762396 0.0008803886 0.001163732 0.003288808 0.5473684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009842722 2.5699013e-05 6.681743e-05 5.1398027e-05 5.653783e-05 5.653783e-05 7.1957234e-05 3.5978617e-05 3.5978617e-05 4.1118423e-05 2.0559211e-05 2.5699013e-05 7.1957234e-05 2.5699013e-05 5.653783e-05 4.1118423e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008753084 3.0838815e-05 7.1957234e-05 0.00015419407 0.00023129112 9.251645e-05 0.00067845394 0.00027754935 1.0279606e-05 1.0279606e-05 1.5419408e-05 0.0001747533 5.139803e-06 5.139803e-06 5.139803e-06 1.0279606e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00650185 0.00085834705 0.0006424753 0.00028268914 0.0007401316 0.00024157073 0.00032380756 7.1957234e-05 0.00023643092 7.1957234e-05 0.0001747533 0.000107935855 9.251645e-05 2.5699013e-05 4.6258225e-05 0.000107935855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03380962 0.0067742597 0.0061677634 0.003155839 0.003983347 0.002451686 0.002837171 0.0019068668 0.0029502467 0.0013260691 0.0012952302 0.0015008224 0.001983964 0.0012078537 0.0010485197 0.0012849506 0.0070415298 0.0027960527 0.0025236432 0.0011615953 0.0016293174 0.00087376643 0.0007915296 0.0003803454 0.001146176 0.0005448191 0.00066303456 0.0003803454 0.00065789477 0.00032380756 0.00010279605 3.5978617e-05 0.003227796 0.0011564556 0.0014648438 0.0006938733 0.000832648 0.00032380756 0.0002107319 0.0001747533 0.0006476151 0.00028268914 0.00026212994 0.00022615131 0.00063219573 0.00027754935 0.00010279605 1.0279606e-05 0.002240954 0.0013260691 0.00067845394 0.0005653783 0.0006373355 0.0005191201 0.0005550987 0.00048314146 0.0005499589 0.00035464638 0.00023643092 0.0004009046 0.000416324 0.00040604442 0.00033408718 0.0008223684 0.03439556 0.023283307 0.019937294 0.018076686 0.019310238 0.01872944 0.02030736 0.019726563 0.021525493 0.013790091 0.0124229025 0.016997328 0.016601562 0.016231496 0.016082443 0.017845394 365.0 7.5835614 2768.0 0.024927747 0.052745666 0.0028901733 0.0046965317 0.012283237 0.0028901733 0.003251445 0.0036127167 0.0119219655 0.025650289 0.00216763 0.003251445 0.009393063 0.0025289017 0.008309249 0.0050578034 0.010476879 0.031069364 0.008309249 0.007586705 0.01083815 0.003251445 0.0039739884 0.0046965317 0.01083815 0.023121387 0.003251445 0.005419075 0.00867052 0.0025289017 0.00072254334 0.0036127167 0.007586705 0.022398844 0.054552022 0.009031792 0.007947977 0.016618498 0.0068641617 0.0036127167 0.0068641617 0.01300578 0.018786127 0.0039739884 0.009393063 0.009393063 0.00216763 0.0061416184 0.009393063 0.01083815 0.020953758 0.01083815 0.008309249 0.009393063 0.0061416184 0.0072254334 0.0050578034 0.0061416184 0.014450867 0.0046965317 0.003251445 0.0050578034 0.0014450867 0.0018063583 0.0025289017 0.028179191 0.0036127167 0.031791907 0.014450867 0.028901733 0.0061416184 0.0068641617 0.009031792 0.014812139 0.0036127167 0.015534682 0.024927747 0.011560693 0.010115607 0.0140895955 0.0061416184 0.0072254334 0.0216763 0.016979769 0.019508671 0.012283237 0.0057803467 0.0046965317 0.007947977 0.0072254334 0.0050578034 0.005419075 0.005419075 0.0036127167 0.003251445 0.00433526 6.121603 0.0 0.0 0.0 4.0 98820.0 176128.0 0.0 0.0 10.0 1.0 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 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 4.0 0.0 4.0 0.0 32768.0 4096.0 4096.0 4.0 1.0 0.0 3.0 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 0.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.58749616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.869833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.757244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 616.0 110364.0 7964.0 102400.0 0.0 0.0 0.0 0.0 16.0 110980.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 100408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.083865285 0.009539348 0.009968083 0.0046446268 0.0066334796 0.004775629 0.0077529536 0.0044064405 0.0046088984 0.0037871571 0.0081221415 0.0053234566 0.0034536966 0.0035251523 0.0037633383 0.0036442454 0.004037252 0.0042873477 0.0043230755 0.0037157012 0.0038109757 0.0035370616 0.004037252 0.0038586129 0.0037157012 0.003036871 0.0032036013 0.003191692 0.0031797828 0.0032631478 0.0031678735 0.0034536966 0.006204745 0.0030011432 0.00458508 0.0029296875 0.0032631478 0.0032631478 0.0038586129 0.0029296875 0.004334985 0.003953887 0.0042873477 0.0041325265 0.004037252 0.0032988759 0.0056688264 0.0030845085 0.0045255334 0.0041444357 0.00390625 0.0030249618 0.002870141 0.0030249618 0.0035608804 0.0031202363 0.0028344132 0.003275057 0.0027034108 0.002798685 0.0031321456 0.0032393292 0.0036323362 0.0028939596 0.0036799733 0.00441835 0.004382622 0.0039657964 0.00441835 0.004037252 0.0038586129 0.0030725992 0.0038824314 0.0036442454 0.0031202363 0.003191692 0.0033107852 0.0035251523 0.0032155106 0.0031202363 0.0038824314 0.0030845085 0.003941978 0.004704173 0.0036204269 0.003382241 0.0037633383 0.0030011432 0.0033226945 0.0031678735 0.0026795922 0.0030725992 0.003275057 0.0040491614 0.0029415968 0.0041920734 0.0035251523 0.006169017 0.0047160825 0.005466368 0.0039777057 0.01257622 0.003429878 0.0049661775 0.0028582318 0.0071098516 0.0031321456 0.0033107852 0.0059665586 0.005132908 0.0063595655 0.011516292 0.0048470846 0.003382241 0.008550877 0.0074314023 0.010420636 0.005907012 0.0035251523 0.0038586129 0.0034060595 0.004215892 0.0027272294 0.0037990664 0.0029415968 0.0036085176 0.0027391387 0.0026795922 0.0036561547 0.0039181593 0.0031202363 0.0028820504 0.0030011432 0.0032036013 0.002870141 0.0028105946 0.0032155106 0.002905869 0.0032512385 0.00322742 0.0032036013 0.003191692 0.0025962272 0.0024652248 0.0028344132 0.0030845085 0.0030725992 0.0030249618 0.002667683 0.0030249618 0.002477134 0.0031559642 0.0033703316 0.003429878 0.0028105946 0.0028820504 0.0032631478 0.0028939596 0.0027748665 0.0029415968 0.0030011432 0.0030130525 0.0036442454 0.0029654154 0.0037037919 0.0028344132 0.0026081365 0.0029415968 0.0030845085 0.0030725992 0.003108327 0.0033107852 0.002989234 0.0027867758 0.0032869664 0.0023104039 0.0029177782 0.0032869664 0.0030130525 0.0030249618 0.0030011432 0.003036871 0.0030011432 0.0027391387 0.0031678735 0.0030845085 0.003429878 0.003584699 0.0025724086 0.003036871 0.0030011432 0.0027391387 0.0031797828 0.002989234 0.002870141 0.002953506 0.00306069 0.0032393292 0.003382241 0.0025366805 0.0023104039 0.003036871 0.0032155106 0.00322742 0.0028344132 0.0027272294 0.0027391387 0.0032512385 0.002667683 0.0036204269 0.0026795922 0.0030964178 0.0025962272 0.002822504 0.0026200458 0.002905869 0.0025724086 0.002822504 0.003346513 0.0026557737 0.002989234 0.0026557737 0.0025962272 0.0032869664 0.0028105946 0.0028939596 0.002631955 0.0030011432 0.0026200458 0.0025962272 0.0026915015 0.0030487804 0.003036871 0.003036871 0.0029177782 0.0027034108 0.0030130525 0.002667683 0.0027748665 0.0031678735 0.0026438644 0.0027629572 0.0023580412 0.0032988759 0.0029177782 0.0025604991 0.0026200458 0.003513243 0.00322742 0.0025485898 0.0032155106 0.003275057 0.0027629572 0.0027629572 0.0029654154 0.0026081365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04185354 0.0033215182 0.005672502 0.0017361111 0.003912278 0.0031165606 0.02350381 0.014473621 0.00023509839 0.00018687308 0.000108506945 0.00018687308 4.2197145e-05 0.00015673225 6.6309796e-05 0.00019290124 0.015781732 0.0019651814 0.0017602238 0.0006510417 0.00050033757 0.00053650653 0.0005485629 0.00078366126 0.0006209008 0.00025318286 0.00015673225 0.00021701389 0.00016276042 0.0002471547 0.0001808449 0.00032552084 0.026053723 0.0016698013 0.0022786458 0.00088614004 0.002284674 0.0014045622 0.006118586 0.0040388694 0.00097053434 0.0005666474 0.00072940777 0.00054253475 0.0006510417 0.000367718 0.00045211226 0.000367718 0.017554013 0.001916956 0.0017541955 0.00060281635 0.0019591532 0.0009102527 0.005389178 0.0036229263 0.00085599924 0.000367718 0.00053047837 0.00035566164 0.0004641686 0.00023509839 0.00029538 0.00022304205 0.0035566166 0.0011574074 0.00085599924 0.0005606192 0.00045211226 0.00058473187 0.0028272087 0.0018747589 0.00021098573 7.836612e-05 2.4112655e-05 7.233796e-05 5.4253473e-05 6.0281636e-06 1.808449e-05 1.2056327e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019290124 0.00028935185 0.0008077739 0.0007052951 0.0007113233 0.000958478 0.002983941 0.001953125 0.00020495756 0.00031949268 0.0001808449 0.00030140817 0.000331549 0.00025921102 0.0001989294 0.00021098573 0.0037796586 0.00059076 0.0006450135 0.00063295715 0.00068721065 0.00061487267 0.00091628084 0.00068721065 0.0006209008 0.00047019677 0.00042197146 0.0004641686 0.00055459107 0.0004460841 0.00047622493 0.00033757716 0.05143832 0.047375336 0.04891855 0.04721258 0.048900463 0.04855083 0.047471788 0.04664593 0.04638069 0.046037085 0.04709804 0.047049817 0.04585624 0.044759113 0.044481818 0.04490982 607.0 13.131796 7971.0 0.015180028 0.0030109147 0.0063981935 0.0026345502 0.002760005 0.0023836407 0.0031363694 0.0026345502 0.0023836407 0.002760005 0.0021327313 0.0021327313 0.005394555 0.0041400073 0.019821854 0.0023836407 0.010538201 0.0056454646 0.0030109147 0.0047672815 0.0042654625 0.004516372 0.0026345502 0.0028854597 0.002258186 0.0020072763 0.0026345502 0.0015054573 0.0036381884 0.006649103 0.005018191 0.0016309121 0.0033872789 0.010161837 0.010412746 0.010412746 0.008530925 0.0063981935 0.007527286 0.003889098 0.00552001 0.0069000125 0.0023836407 0.0032618241 0.0031363694 0.00815456 0.0040145526 0.0036381884 0.010538201 0.0033872789 0.0063981935 0.015180028 0.006649103 0.0032618241 0.0060218293 0.0031363694 0.0025090955 0.0017563668 0.0026345502 0.0030109147 0.0036381884 0.0035127336 0.0023836407 0.018190943 0.0018818215 0.03098733 0.017187305 0.026721867 0.015054572 0.088696525 0.009409108 0.016183665 0.0052691004 0.04278008 0.004892736 0.0056454646 0.02973278 0.020449128 0.037887342 0.048927363 0.015681846 0.002760005 0.049303725 0.041901894 0.071885586 0.030234601 0.00815456 0.009409108 0.007778196 0.014929118 0.0032618241 0.0026345502 0.0017563668 0.0018818215 0.0015054573 0.0023836407 5.6934757 1.0 0.0 0.0 1.0 83968.0 106496.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1489349500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 81408.0 512.0 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 -81408.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.753448 0.0 4.21567 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 -81084.0 0.0 1500.0 0.0 0.0 0.0 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 89188.0 1500.0 90112.0 0.0 0.0 0.0 0.0 12.0 98304.0 28.0 88876.0 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