Input: 0.06809769 0.012819224 0.0050465837 0.0044018966 0.0055491626 0.0041124807 0.0035804403 0.0054226513 0.0054417145 0.0034054043 0.0033846078 0.0044382904 0.004190467 0.0045855977 0.0034781916 0.0057224655 0.0045578694 0.0035301824 0.0032390333 0.0033690108 0.0033707437 0.0039773043 0.0031905086 0.0032563638 0.0035249833 0.0032026398 0.0032390333 0.00344873 0.0038230645 0.0034348657 0.0035665762 0.0033152867 0.0049495343 0.003051866 0.0030484002 0.0031679792 0.004876747 0.0032043727 0.0031887756 0.0032667618 0.003388074 0.0031385177 0.003044934 0.0034539292 0.0032598297 0.0031125222 0.003445264 0.0032286353 0.003793603 0.0034071372 0.0034695263 0.0048992764 0.0034591283 0.003618567 0.0037225487 0.00350592 0.0036324312 0.0035440468 0.0033031555 0.0037641416 0.003901051 0.0038715894 0.003507653 0.0036566937 0.0033135538 0.0036514946 0.0030501331 0.0034903227 0.004178336 0.0035787073 0.0036081688 0.0036410964 0.0033430152 0.0032303683 0.0031177213 0.003327418 0.0036012367 0.003213038 0.0033603455 0.0033742096 0.004947801 0.0033742096 0.0034573951 0.0037988022 0.0035128521 0.003393273 0.0041038156 0.0039235805 0.00316278 0.0031523819 0.0034972548 0.003788404 0.0032407665 0.0037260149 0.0039981008 0.0038750554 0.0031298525 0.004015431 0.0032043727 0.003779739 0.0036913543 0.0049044755 0.0038542592 0.0035527118 0.004389765 0.0042961817 0.0046046614 0.00327716 0.0042129965 0.0036462955 0.0042996476 0.004315245 0.0033551464 0.0032009068 0.0044001634 0.0040691546 0.0057086013 0.0049131406 0.0035839065 0.003667092 0.0034868566 0.0034417978 0.003729481 0.0035249833 0.0036636258 0.0034036713 0.0034660604 0.0033482143 0.0040968833 0.0032580968 0.0029461512 0.005583823 0.0034227346 0.0041714036 0.0034054043 0.0034002052 0.0035371145 0.004150607 0.0033759428 0.006642705 0.0030570652 0.0042025982 0.0033066215 0.003393273 0.003218237 0.0030674634 0.0030050743 0.0030484002 0.0031905086 0.0030484002 0.0030847937 0.0031333186 0.0032043727 0.0031194543 0.0030865266 0.0032407665 0.0030189385 0.0030882598 0.0033152867 0.0033083546 0.0033915401 0.0034799245 0.0030224046 0.0036792231 0.0031991736 0.003107323 0.0030310699 0.003155848 0.003211305 0.003102124 0.0029496173 0.0031749113 0.0032407665 0.0033707437 0.0032355674 0.0033707437 0.0030068073 0.0033620785 0.0030224046 0.0031783774 0.0033742096 0.003500721 0.003395006 0.0032788932 0.0036203 0.0032910244 0.0031731783 0.0032858253 0.0032373003 0.0034539292 0.0035908385 0.0035891056 0.0049720635 0.0033759428 0.0033447482 0.0042112633 0.0045994623 0.0032580968 0.0033603455 0.0038733224 0.0033984722 0.003221703 0.0031523819 0.0030068073 0.0053169364 0.0033118206 0.0032494315 0.003325685 0.003386341 0.0034071372 0.003282359 0.0032442324 0.003284092 0.0033655446 0.003330884 0.003339549 0.00350592 0.0033291508 0.0034799245 0.0034556622 0.0034331328 0.0034192684 0.0033620785 0.0034591283 0.0032286353 0.0032858253 0.00327716 0.0031454498 0.003273694 0.003323952 0.0033603455 0.0033291508 0.0050916425 0.0034036713 0.0032858253 0.0040431595 0.0036289652 0.0032234362 0.0032355674 0.0035319154 0.0036566937 0.00344873 0.0034002052 0.0035440468 0.0037086846 0.0035232503 0.003611635 0.0036203 0.00411768 0.0033603455 0.0033707437 0.003386341 0.003731214 0.0035232503 0.0037745398 0.008505712 0.008886371 0.0 1.7376557e-06 0.0 2.6064836e-06 0.0 0.0 8.6882784e-07 8.6882784e-07 0.0 8.6882784e-07 0.0 0.0 1.7376557e-06 0.0 1.7376557e-06 0.0033910351 5.7342637e-05 3.8228427e-05 1.7376557e-06 2.6064836e-06 1.7376557e-06 5.212967e-06 3.4753114e-06 2.2589524e-05 6.9506227e-06 0.0 0.0 2.0851869e-05 0.0 0.0 6.9506227e-06 0.017947378 0.0003093027 0.00017202791 0.00013379949 6.9506226e-05 6.9506226e-05 0.00016333963 8.862044e-05 0.00012337355 5.560498e-05 7.298154e-05 7.1243885e-05 9.99152e-05 5.4736156e-05 2.8671318e-05 0.00011294762 0.0047533573 0.00017376557 2.3458351e-05 4.5179047e-05 2.3458351e-05 3.3015458e-05 2.3458351e-05 4.7785532e-05 2.780249e-05 3.649077e-05 2.1720696e-05 1.2163589e-05 1.0425934e-05 2.0851869e-05 9.557107e-06 7.5588025e-05 0.0045500514 0.00024066531 7.8194505e-05 5.560498e-05 3.1277803e-05 3.7359598e-05 2.780249e-05 3.214663e-05 8.9489266e-05 2.3458351e-05 2.3458351e-05 4.0834908e-05 2.5196008e-05 2.4327179e-05 1.7376557e-05 4.0834908e-05 0.0054927296 0.00025369774 0.00010773465 5.9080292e-05 0.00022068227 0.00015812667 0.00031712218 0.00018158503 3.5621943e-05 2.1720696e-05 2.2589524e-05 3.1277803e-05 3.4753113e-05 2.780249e-05 6.168678e-05 9.1226924e-05 0.0025795498 6.7768575e-05 4.0834908e-05 0.0003336299 9.3833405e-05 7.0375056e-05 2.4327179e-05 2.3458351e-05 7.1243885e-05 2.3458351e-05 2.2589524e-05 6.081795e-05 2.0851869e-05 2.8671318e-05 6.168678e-05 3.5621943e-05 0.006695187 4.0834908e-05 0.000984382 0.00018419151 0.00015812667 0.000105996995 0.0026082213 0.0014344348 5.3867327e-05 5.212967e-06 1.7376557e-06 2.8671318e-05 6.9506227e-06 2.9540146e-05 2.4327179e-05 9.3833405e-05 0.0024805034 1.1294762e-05 0.0002467471 8.1669816e-05 0.00016247081 0.00012424238 0.0014153206 0.00063858845 4.9523187e-05 8.6882784e-07 3.4753114e-06 8.688278e-06 1.9983041e-05 8.6882784e-07 1.4770073e-05 7.9063335e-05 0.0026212537 1.9114214e-05 0.00025369774 0.00015204487 0.0008297306 0.00044223337 0.0028271659 0.0013996817 0.000101652855 3.3884287e-05 1.9983041e-05 1.9983041e-05 2.780249e-05 1.1294762e-05 3.0408975e-05 0.000106865824 0.0016863948 3.8228427e-05 0.00020851869 0.00016942143 9.4702234e-05 4.9523187e-05 0.0004926254 0.00030756506 0.00014075011 2.4327179e-05 2.4327179e-05 5.4736156e-05 3.3015458e-05 1.8245384e-05 3.3884287e-05 0.00018245385 0.0029653094 0.00029800794 0.00044136454 0.00363952 0.0004804618 0.00040313613 0.000953973 0.00060991716 0.0003805466 0.00027976258 0.00030582742 0.00026238602 0.00038228426 0.00025804187 0.00028150022 0.00051347725 0.0031677464 0.00041877502 0.00042311917 0.00077238795 0.0008019281 0.00085666426 0.0010643142 0.0006186054 0.0008045346 8.1669816e-05 0.00010860348 0.00016768377 0.00057342637 8.3407474e-05 0.00027976258 0.00045352813 0.023752015 0.005021825 0.00346141 0.0033397742 0.003552637 0.00635982 0.0028349853 0.0040400494 0.010299955 0.0007037505 0.001382305 0.0013110612 0.007356365 0.0012719639 0.0035300476 0.0071912883 0.0011529345 0.00029974562 0.0003770713 0.00017984737 0.00023458352 0.00036056354 0.0002962703 0.00027281194 0.00048567477 9.0358095e-05 0.00014509425 0.00013814363 0.0005073955 0.00015899549 0.00018940447 0.000449184 0.0493946 0.048929777 0.04809918 0.05006099 0.0484554 0.05003319 0.05026169 0.051409412 0.049423274 0.04892109 0.04970477 0.051287778 0.05001234 0.052235667 0.051253024 0.053008925 2868.0 7.1677127 20557.0 0.014253053 0.006080654 0.0070535582 0.005545556 0.009291239 0.006518461 0.005691492 0.0071022036 0.006956268 0.0062752347 0.006518461 0.006956268 0.006761687 0.0078805275 0.008026463 0.0071022036 0.012209953 0.010507369 0.011382984 0.01366931 0.010653306 0.011139758 0.011237049 0.009339884 0.009534465 0.008804787 0.007977818 0.009048013 0.011674855 0.009048013 0.008707496 0.009972272 0.0062265894 0.013912536 0.006518461 0.0107505955 0.015323248 0.009145304 0.011431629 0.011966727 0.007588656 0.0109938225 0.0068589775 0.0063725254 0.010069563 0.009437175 0.009729046 0.007588656 0.015177312 0.0076859463 0.009096658 0.012988277 0.009729046 0.008512915 0.00958311 0.0117721455 0.008853432 0.0067130416 0.0070535582 0.0071022036 0.0068589775 0.007150849 0.008269689 0.0076859463 0.0064698155 0.020966094 0.008318335 0.01366931 0.013815246 0.034440823 0.00948582 0.0117721455 0.011966727 0.021938998 0.013815246 0.008561561 0.019117575 0.011139758 0.023690227 0.019749964 0.010264143 0.006567106 0.022376806 0.0178528 0.023544291 0.012355888 0.008221044 0.00958311 0.007977818 0.00938853 0.007004913 0.0070535582 0.006956268 0.007540011 0.007004913 0.00632388 6.461112 0.0 0.0 0.0 9.0 577024.0 610304.0 1.0 0.0 158.0 1.0 1.0 0.0 0.0 37.0 852901900.0 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 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 4.0 0.0 3.0 10.0 4.0 0.0 4.0 0.0 63488.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63488.0 0.0 489472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8421974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8955286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5063396 0.0 7.9457717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37916.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63372.0 0.0 491520.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 2.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 63868.0 489172.0 110592.0 0.0 0.0 0.0 0.0 4748.0 602112.0 56.0 4752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 656.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05180254 0.004210601 0.0036210155 0.004192888 0.0038841781 0.003828509 0.0037450057 0.0041903574 0.005020332 0.0038917693 0.004433277 0.0038411613 0.0041777054 0.0037627185 0.003704519 0.00414481 0.0035400426 0.003413522 0.00327688 0.003413522 0.003469191 0.0038006746 0.003494495 0.0034615998 0.0036994582 0.003631137 0.0036286067 0.0036842758 0.0037197014 0.0036943974 0.0037677793 0.0038411613 0.0034894343 0.003413522 0.0031124032 0.0036361981 0.0036513805 0.003456539 0.0034641302 0.003618485 0.0035096775 0.0035451034 0.0033173664 0.0038614045 0.003580529 0.0036488501 0.0037247622 0.0036159547 0.0034489478 0.0033123055 0.0033806267 0.0041777054 0.0037323534 0.0036817454 0.0035046167 0.0035855898 0.0034388262 0.0036210155 0.003605833 0.0039955163 0.0036134243 0.0037374145 0.003889239 0.0036437893 0.004030942 0.0035375122 0.003456539 0.0034337654 0.0032819407 0.0044484595 0.004132158 0.0038183874 0.0034489478 0.003443887 0.0035729378 0.0035147383 0.0036210155 0.004124567 0.003618485 0.0038234482 0.0042460267 0.003507147 0.0035476338 0.003765249 0.0034514782 0.0037348839 0.004000577 0.0039120126 0.0036286067 0.00401829 0.0036766846 0.0036741542 0.0037854922 0.0038310394 0.0041726446 0.0037576577 0.0035324513 0.0035172687 0.003443887 0.0036286067 0.003555225 0.0038867085 0.0038057354 0.0036336677 0.0040106988 0.0036994582 0.004030942 0.0036463197 0.0036969278 0.0037551273 0.003542573 0.003691867 0.0033553226 0.003605833 0.0036361981 0.0038411613 0.004380138 0.0046761963 0.0038816477 0.0036690934 0.003871526 0.0033679747 0.0035577554 0.0037222318 0.0038234482 0.003846222 0.003919604 0.0036893366 0.0035704074 0.0035046167 0.0033072447 0.0043573645 0.0034995559 0.004056246 0.003653911 0.0035501642 0.0033477314 0.0046711355 0.0032870015 0.0056807688 0.0035147383 0.0040891413 0.0033401402 0.0038563437 0.0033300186 0.0034362958 0.0033755659 0.0033806267 0.003314836 0.00352486 0.0035096775 0.003469191 0.0034388262 0.0037551273 0.0034540086 0.003555225 0.0035577554 0.0034869038 0.0036513805 0.0038310394 0.0036033026 0.004023351 0.0033224272 0.0035881202 0.0034388262 0.0034666606 0.003426174 0.0037095798 0.003507147 0.003426174 0.0033553226 0.00340087 0.0035602858 0.0036817454 0.003431235 0.0036083634 0.0035501642 0.0036007722 0.0034995559 0.003752597 0.0037121102 0.003494495 0.0036437893 0.0035830594 0.0036615022 0.0035020863 0.0036463197 0.0037323534 0.0038436917 0.0037703097 0.003739945 0.0035324513 0.0040891413 0.0037576577 0.0034793126 0.004137219 0.003871526 0.0035779986 0.0038968301 0.0037703097 0.003605833 0.0034615998 0.0035349817 0.003593181 0.0037551273 0.0038133266 0.003357853 0.0037197014 0.003947438 0.0037095798 0.0036033026 0.0035906506 0.003747536 0.0034185827 0.003494495 0.0037424753 0.0038411613 0.0038209178 0.003666563 0.0036615022 0.0035830594 0.0036437893 0.0036640326 0.0038487525 0.003739945 0.003679215 0.0036564413 0.0037272926 0.003542573 0.0036235459 0.003431235 0.0039423774 0.0046154666 0.0035704074 0.0036488501 0.0040106988 0.004030942 0.0033654443 0.0035349817 0.0037348839 0.004119506 0.0039727422 0.0034236435 0.0037753705 0.003876587 0.003691867 0.0038791173 0.003803205 0.0040916717 0.004000577 0.0037424753 0.0038512829 0.004286513 0.004048655 0.0037728401 0.0062905974 0.013020833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0049451194 2.7974447e-05 8.90096e-06 1.6530355e-05 7.6293945e-06 5.2134197e-05 1.0172526e-05 1.3987224e-05 1.0172526e-05 7.6293945e-06 2.5431316e-06 6.3578286e-06 7.6293945e-06 2.5431316e-06 1.2715657e-05 7.6293945e-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 0.006913503 9.409586e-05 5.340576e-05 5.4677326e-05 8.392334e-05 0.0002187093 0.00012334187 6.484985e-05 3.4332275e-05 1.780192e-05 1.5258789e-05 2.1616617e-05 3.1789143e-05 2.1616617e-05 1.6530355e-05 4.704793e-05 0.008715312 8.010864e-05 0.00011698405 7.247925e-05 0.00017547607 0.0002746582 0.00045776367 0.00027592978 5.2134197e-05 2.7974447e-05 3.0517578e-05 2.415975e-05 3.306071e-05 2.670288e-05 2.9246012e-05 2.415975e-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 0.003921509 3.9418537e-05 8.773804e-05 0.00015385945 6.3578285e-05 0.000104268394 0.00026575723 0.00012461345 4.196167e-05 0.00013478597 1.6530355e-05 7.6293945e-06 0.0001411438 1.3987224e-05 1.5258789e-05 7.6293945e-05 0.005217234 9.1552734e-05 3.6875408e-05 8.646647e-05 0.00018437703 0.00025812784 0.00036493936 0.0002530416 0.000193278 4.0690105e-05 0.00035985312 2.9246012e-05 8.138021e-05 4.0690105e-05 0.0001487732 0.00042597452 0.0016988119 4.4504803e-05 1.3987224e-05 3.306071e-05 8.646647e-05 0.0001296997 4.83195e-05 6.612142e-05 0.00010935465 7.6293945e-06 1.780192e-05 3.1789143e-05 4.3233234e-05 1.9073486e-05 6.739298e-05 0.00018692017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024414062 8.392334e-05 8.392334e-05 0.00020980835 0.000104268394 8.9009605e-05 0.00020345052 0.00010681152 0.00016276042 0.00024286906 0.00043233237 9.0281166e-05 0.00021743774 0.00010681152 0.00019582112 0.0004374186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0062090554 0.0010897318 0.00091552734 0.000937144 0.0025634766 0.0021260579 0.0006039937 0.00157547 0.003625234 0.000120798744 0.00016276042 0.00024159749 0.0013580322 0.0004526774 0.001285553 0.0027745564 0.0016695658 0.0004348755 0.0003306071 0.00043614706 0.00085957843 0.0011774699 0.00027720132 0.00072733563 0.0015856425 7.120768e-05 6.612142e-05 8.773804e-05 0.0006573995 0.00022506714 0.0005162557 0.001294454 0.05618413 0.05563609 0.05506261 0.05644862 0.05523173 0.056348164 0.056728363 0.057670593 0.055618286 0.055529278 0.05557887 0.057863872 0.056983948 0.05819829 0.057704926 0.05946223 1829.0 5.9557133 10893.0 0.01193427 0.008721197 0.0071605616 0.00973102 0.00973102 0.008353989 0.008445791 0.011475259 0.010006426 0.009363811 0.008996603 0.00798678 0.010098228 0.009822822 0.013219499 0.008812999 0.01064904 0.008904802 0.008445791 0.011383457 0.008904802 0.01064904 0.00973102 0.007344166 0.009180208 0.011658863 0.009455614 0.010465437 0.010006426 0.009822822 0.010006426 0.0078031765 0.010281832 0.010465437 0.009455614 0.008904802 0.009547416 0.010373634 0.011658863 0.011475259 0.009088405 0.008170385 0.008170385 0.01064904 0.008721197 0.00798678 0.010006426 0.0099146245 0.010832645 0.008629395 0.009272009 0.011475259 0.010190031 0.009272009 0.009822822 0.010098228 0.008904802 0.008812999 0.010190031 0.008904802 0.01193427 0.008904802 0.011016249 0.009822822 0.010006426 0.013219499 0.009547416 0.013678509 0.012668686 0.020471863 0.011567062 0.012668686 0.01239328 0.014871936 0.00798678 0.010190031 0.014045717 0.011842468 0.01239328 0.013953916 0.009822822 0.010098228 0.01459653 0.014412926 0.017166987 0.010006426 0.0133113 0.00973102 0.011199853 0.009272009 0.009088405 0.00973102 0.0096392175 0.008170385 0.0117506655 0.009272009 6.5582733 1.0 0.0 0.0 8.0 395193.0 36864.0 0.0 0.0 35.0 0.0 1.0 0.0 0.0 0.0 1147963000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2069497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.329669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.49102 0.0 3.927548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1542.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14994.0 0.0 2432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 21212.0 2432.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.09454664 0.007871572 0.0043433146 0.0047336016 0.0069389585 0.0027523856 0.003413836 0.00285897 0.0075863022 0.0021395253 0.0018903058 0.0019874857 0.005315114 0.0019106823 0.0015329346 0.0060094795 0.00552985 0.0016630302 0.0015924964 0.0014843446 0.0034859371 0.0018840361 0.0015846593 0.001459266 0.0028229195 0.0015658503 0.0012727432 0.0014373221 0.0021959522 0.0013307377 0.0013370074 0.0016332493 0.0037884489 0.0012633387 0.00162071 0.0014733727 0.0041317134 0.0013495467 0.0011112991 0.0013417096 0.0017178899 0.0013526815 0.0013605186 0.0024859246 0.047779597 0.001658328 0.0018276091 0.0015924964 0.0036003587 0.0022273005 0.0021316882 0.00467404 0.002479655 0.002018834 0.001838581 0.001876199 0.0030815434 0.0030674366 0.0022680536 0.050082132 0.0028056777 0.0021787107 0.0021928174 0.0027900035 0.0043307752 0.002799408 0.0022131938 0.004517298 0.007448369 0.010594177 0.0031128917 0.0022711884 0.0025266774 0.0018432833 0.0017727495 0.0014153783 0.0016865415 0.0062743733 0.0018714968 0.0016896763 0.006804161 0.0027523856 0.0017539405 0.0033260605 0.0017962608 0.0034906394 0.0040361006 0.003034521 0.0017570753 0.0039122747 0.0015956312 0.0018542552 0.0015000188 0.003335465 0.0027743294 0.0024153907 0.0015094234 0.0025721325 0.0013887321 0.0020204014 0.0026019134 0.004352719 0.0027320092 0.0018903058 0.0027210373 0.0025658628 0.0051082144 0.0017758843 0.0025470539 0.0019279239 0.0023276154 0.0027132002 0.002468683 0.0012555016 0.003015712 0.003233583 0.008818292 0.009866895 0.0019467329 0.0017758843 0.002123851 0.0017492382 0.0012429623 0.0014169457 0.0022257331 0.0036395441 0.002420093 0.0021896826 0.003335465 0.0017147551 0.001485912 0.009761878 0.0030486276 0.006569048 0.0014279176 0.0013479793 0.002318211 0.007990696 0.0017931259 0.019874858 0.001876199 0.009476608 0.0012413949 0.0014576985 0.0013793276 0.0010517373 0.0012993893 0.0016269797 0.0017758843 0.0015235301 0.0011269734 0.0011520521 0.0013385748 0.0011865352 0.0010862205 0.0012398275 0.0018950081 0.0016191426 0.0013777602 0.0015940638 0.0017084854 0.0013981366 0.0009890406 0.0015141256 0.0015172604 0.0016348168 0.00097650127 0.0013746254 0.0016066033 0.0011520521 0.0012288556 0.0013573838 0.001935761 0.0015862267 0.0010846531 0.0013213332 0.0017727495 0.0010642767 0.0012429623 0.0015047211 0.0018667945 0.002183413 0.002145795 0.0022633513 0.002742981 0.0012821477 0.0012382601 0.0013934344 0.0018652271 0.0019122497 0.0016473561 0.0015297998 0.005136428 0.0026128853 0.0025000314 0.0036536509 0.0032163414 0.001399704 0.0035219877 0.0034875046 0.0023119412 0.0024216603 0.0014576985 0.0015564458 0.0033558414 0.0013950018 0.0029436105 0.0017884236 0.0027132002 0.001973379 0.0017664798 0.0017225922 0.0023730705 0.0014059737 0.0018448507 0.0014639682 0.002261784 0.0019671093 0.0016301145 0.002059587 0.002018834 0.001916952 0.0015862267 0.0016379516 0.0029686892 0.001876199 0.0016802718 0.0016724347 0.0020564522 0.0016473561 0.0015203953 0.0018699294 0.059229583 0.0036270048 0.0013793276 0.004471843 0.0037602352 0.0017790191 0.0014968839 0.0016097381 0.0038809264 0.0022131938 0.0017461034 0.0019608396 0.0022210309 0.001440457 0.00329001 0.0023918794 0.004127011 0.0018636597 0.0015736874 0.0026943912 0.005155237 0.0032727683 0.005782204 0.09767678 0.009646302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015268602 7.850181e-07 1.8840434e-05 1.8840434e-05 0.0 0.0 7.850181e-07 7.850181e-07 1.5700361e-06 7.850181e-07 0.0 0.0 2.3550542e-06 7.850181e-07 1.8055416e-05 1.7270399e-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 0.0012897847 6.986661e-05 1.0205235e-05 7.0651627e-06 8.321192e-05 6.2801446e-06 3.9250904e-06 1.4130325e-05 1.9625451e-05 8.635199e-06 1.8055416e-05 1.1775272e-05 4.7101084e-06 1.0205235e-05 4.7101084e-06 4.5531047e-05 0.0011900874 5.1026174e-05 4.945614e-05 7.850181e-06 0.00011382762 2.826065e-05 3.6110832e-05 3.1400723e-05 1.4130325e-05 7.0651627e-06 1.7270399e-05 1.0205235e-05 7.850181e-06 1.4915344e-05 1.0990253e-05 1.7270399e-05 0.021710461 0.00042783486 0.001387912 0.0014083225 0.002774254 0.0002480657 0.0006123141 0.00037445364 0.00017505903 0.00039250904 0.00027946645 0.00016877889 0.0005118318 0.00052439206 0.0010534943 0.0033206264 0.008873059 0.0002127399 0.026987351 0.027172616 0.0011673219 0.0004678708 0.0017238997 0.0011021654 0.000390939 0.0002778964 0.0002260852 0.0002480657 0.00053145725 0.00071436644 0.027222073 0.032907173 0.005992043 0.00018133917 0.016079526 0.016470464 0.0012992049 0.00077638286 0.0027507034 0.0014091075 0.00042704985 0.00035011806 0.00035718322 0.00031165217 0.00045688052 0.00090826594 0.017218586 0.02343593 0.004081309 8.949206e-05 0.0028456906 0.002822925 0.0015480557 0.00066569535 0.0029249773 0.0015119448 0.0003249975 0.00026455108 0.00013109802 0.00011932275 0.00015386354 0.00027004624 0.0028951466 0.00346664 0.007876086 0.00072614173 0.002306383 0.010595389 0.0026824067 0.0013706416 0.003040375 0.0022938228 0.0013345308 0.0007551874 0.00078109297 0.0014357981 0.0008297641 0.0018353723 0.0017662907 0.00217136 0.007898067 0.0008540997 0.0014043973 0.0016556032 0.0020559623 0.0013926221 0.002299318 0.00217764 0.0045640953 0.0005393074 0.00045531048 0.001347876 0.0012254133 0.00077873794 0.0014499284 0.008486831 0.029227009 0.005641925 0.0034603598 0.0050256858 0.012083784 0.01021858 0.004603346 0.008695645 0.022705862 0.0016548181 0.0015409905 0.0031557728 0.009508139 0.0027169476 0.010918031 0.02318394 0.04049437 0.009786036 0.006722895 0.009142321 0.01779479 0.015477417 0.0076986724 0.015581039 0.030549765 0.0029210523 0.003600878 0.004946399 0.014704173 0.006516435 0.014164866 0.026586993 0.015512742 0.014226883 0.014612326 0.015056647 0.014791311 0.015499397 0.0150221065 0.016183147 0.014269274 0.015107673 0.014990705 0.015910747 0.014856467 0.016057545 0.016041059 0.017842676 2241.0 12.293619 27550.0 0.023484573 0.002540835 0.0031578948 0.0019963703 0.011760436 0.0034845734 0.002431942 0.0038112523 0.0036660617 0.0031941924 0.002323049 0.003629764 0.005154265 0.007586207 0.010054447 0.006424682 0.01905626 0.011905626 0.01168784 0.010090744 0.012740472 0.009401089 0.008493648 0.009727768 0.012014519 0.011107078 0.011361161 0.009001815 0.011651543 0.0082395645 0.009655172 0.01724138 0.030090744 0.01277677 0.0035934665 0.0077313976 0.013430127 0.005662432 0.0076225046 0.010889292 0.006497278 0.008421052 0.003520871 0.002940109 0.006279492 0.0047912886 0.0063157897 0.0052268603 0.013974592 0.0037749547 0.00508167 0.013248639 0.00646098 0.006424682 0.011615245 0.006969147 0.0074410164 0.00446461 0.0035571689 0.0025771325 0.0041016336 0.0029038112 0.0027949184 0.010453721 0.004646098 0.031796735 0.010998185 0.02029038 0.021451905 0.04479129 0.0073321234 0.012232305 0.01168784 0.026860254 0.006860254 0.0054083485 0.023883848 0.014192377 0.022649728 0.028892921 0.015317604 0.0023593467 0.031361163 0.029727768 0.04787659 0.014591652 0.0069328495 0.005154265 0.007368421 0.007803993 0.002722323 0.0026134301 0.0046098004 0.0030852994 0.0019963703 0.0027949184 6.158719 0.0 28.0 0.0 9.0 637992.0 643072.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1545991400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.979704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9448757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6346464 0.0 6.3277497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46450.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 298544.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 295572.0 298544.0 323584.0 0.0 0.0 11304.0 626688.0 12096.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 274904.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.03783317 0.0049886354 0.004033928 0.0046099154 0.0040523317 0.003508551 0.0036186874 0.0037245105 0.0040635467 0.0035675012 0.003512577 0.0035088386 0.0037923753 0.0035450715 0.0034403987 0.0041808723 0.0039758403 0.0034096295 0.0032336412 0.003357293 0.0034498882 0.0036232884 0.0033262363 0.0034297588 0.003346078 0.0032629725 0.0031882063 0.0032937417 0.0033397516 0.0033227855 0.0033607439 0.0035646257 0.0052155224 0.0031327067 0.003279076 0.0032457188 0.0033273865 0.0032457188 0.0031631882 0.0034122176 0.0031893565 0.0031755534 0.0031979834 0.00338835 0.0032471565 0.0033075446 0.0037440646 0.0035807292 0.003881232 0.003540183 0.0033923758 0.004156142 0.0034271707 0.0036954666 0.0034142304 0.003533569 0.0034611032 0.0037624687 0.0033742592 0.004018687 0.0035999957 0.0037802977 0.003663547 0.0037020806 0.0034869837 0.0046357964 0.0032051725 0.0035030872 0.003451901 0.004423863 0.0035226415 0.003543921 0.0032957545 0.0034588026 0.003269874 0.00328569 0.0032396798 0.0038826698 0.0034680048 0.0035312683 0.0039953943 0.0033831736 0.0033969767 0.0038196936 0.0033604563 0.0036753372 0.0038018648 0.0037311243 0.0032707367 0.0038317712 0.0032385297 0.003400715 0.0033478034 0.0036638347 0.0035838922 0.0038783564 0.0031174659 0.0042570764 0.0034576524 0.0039453586 0.0037641942 0.005558297 0.003982742 0.0037023681 0.003942483 0.0045489524 0.003669586 0.0035364446 0.0041368753 0.0037147333 0.0044833883 0.004892302 0.0036356535 0.0033334254 0.0046329205 0.0044086217 0.005791798 0.0052514677 0.0035761283 0.0037659195 0.0034711678 0.0038294708 0.00348152 0.0036071849 0.0036227133 0.0038426986 0.0036724617 0.00381423 0.004021275 0.0032537705 0.0031111394 0.004511857 0.0033371637 0.0043240786 0.0032690114 0.0033302621 0.0033242234 0.0042602397 0.0032396798 0.0058444217 0.0038625405 0.0043416196 0.0034409738 0.003766782 0.0030898598 0.0031407585 0.0031413336 0.0032301904 0.0031482351 0.003306682 0.0032227137 0.003265273 0.003249457 0.0033319877 0.0032431306 0.0032845398 0.0033590184 0.0034708802 0.0034619658 0.003636804 0.0032060351 0.0032451437 0.0031703773 0.0034024403 0.0032477316 0.0033319877 0.0032209884 0.0033978394 0.0032342162 0.0032224262 0.0032448561 0.0033331378 0.0033153088 0.003323936 0.003265273 0.0035513977 0.0032782133 0.003226452 0.003157437 0.003279651 0.0032891408 0.003490147 0.003371096 0.0034979112 0.0034734684 0.0033774225 0.0033411896 0.0034668543 0.003465129 0.0036370915 0.0035936695 0.0037199093 0.00395111 0.0035258047 0.0032799388 0.0037923753 0.0035965452 0.0033098452 0.0035899312 0.0037374508 0.0033762723 0.0034588026 0.0032569338 0.0033846116 0.0052066077 0.0033107079 0.0034593777 0.00368799 0.0034222822 0.003345503 0.0033446404 0.0034156682 0.0034464374 0.003354705 0.0034858335 0.0035476594 0.003480945 0.003340902 0.0033204851 0.0035217789 0.0035203411 0.0034392483 0.003588206 0.0037311243 0.003549385 0.0033469407 0.0033426273 0.0034777818 0.0036186874 0.0035042376 0.0034202693 0.0036126487 0.0052816616 0.0036652726 0.003373109 0.004022713 0.0038855455 0.003507113 0.003588206 0.0038283207 0.0037966887 0.0035473718 0.0034875588 0.0036503193 0.0036618218 0.003588781 0.0037808728 0.003981591 0.004045718 0.0037158835 0.0036543452 0.004065847 0.0041693696 0.0042173928 0.0044094846 0.042020082 0.002942344 5.7529456e-07 5.7529456e-07 7.191182e-07 2.8764728e-07 0.0 1.4382364e-07 2.4450019e-06 2.1573546e-06 3.0202964e-06 4.027062e-06 2.5888255e-06 1.8697073e-06 8.341771e-06 3.0202964e-06 0.012639077 0.0002798808 0.0 0.0 0.0 1.4382364e-07 1.4382364e-07 3.4517673e-06 1.423854e-05 3.6531204e-05 3.8257087e-05 8.1691825e-05 8.988977e-05 5.8248574e-05 6.3426225e-05 5.53721e-05 0.0098825535 0.00054350955 0.0 7.191182e-07 1.0067655e-06 1.58206e-06 1.4382364e-06 1.107442e-05 1.5245306e-05 5.1201216e-05 3.1065905e-05 5.407769e-05 9.6649484e-05 6.112504e-05 7.435682e-05 5.1632687e-05 0.005190883 0.0018439628 4.99068e-05 2.8908551e-05 1.697119e-05 7.622653e-06 1.5389129e-05 2.3443254e-05 2.5025312e-05 4.9187685e-05 2.0279133e-05 3.1065905e-05 2.9627668e-05 2.2867958e-05 2.4881489e-05 1.855325e-05 0.0013269169 0.0012447935 4.6167388e-05 4.185268e-05 2.056678e-05 2.171737e-05 1.107442e-05 1.3087951e-05 2.7614138e-05 8.6294185e-06 2.7326491e-06 3.0202964e-06 2.013531e-06 7.3350056e-06 1.8697073e-06 3.0202964e-06 1.7258837e-05 0.0010793963 3.6099733e-05 2.3874723e-05 2.2436487e-05 1.6683542e-05 1.6539718e-05 2.6032078e-05 3.1353553e-05 1.6108248e-05 4.3147093e-06 8.917065e-06 4.74618e-06 5.896769e-06 6.040593e-06 5.3214744e-06 0.00016899277 0.004403017 0.00011405214 0.0007264532 0.00015834982 0.00025715667 0.00015245305 0.0022220751 0.0010371122 0.00013677627 6.759711e-05 6.32824e-05 5.9830632e-05 6.32824e-05 7.306241e-05 7.809624e-05 0.00010758008 0.0031467173 0.00012181862 0.0008592024 0.00011721627 0.0002981464 0.00017906043 0.0025988931 0.0012716886 0.0001521654 2.804561e-05 2.732649e-05 4.6311212e-05 4.3722386e-05 4.7605623e-05 5.7529454e-05 0.00013562568 0.005684342 0.00021530398 0.0004260056 0.00037681794 0.00063757016 0.0002909552 0.001230555 0.00070416054 0.00022307046 8.384918e-05 6.673417e-05 5.1920335e-05 7.5795055e-05 9.1184185e-05 0.00011836686 0.0006217496 0.0047602747 0.0007358017 0.00069193554 0.00077060703 0.0005834925 0.0004612424 0.002283344 0.0011674165 0.00027283345 9.923831e-05 0.00010556655 0.0001295851 0.00013332452 0.000108443026 0.00010412831 0.00025845107 0.0039374596 0.00015446659 0.00041938972 0.0003992544 0.0006217496 0.00032345936 0.0015393444 0.00088811095 0.0005002186 0.000119661265 0.00014914511 0.00012670862 0.00016223306 9.7080956e-05 0.00022522782 0.00064576813 0.003043452 0.00024191136 0.00041032885 0.0018525922 0.0005130189 0.00035366233 0.0010942102 0.0006729508 0.00035639497 0.00022839193 0.0001855325 0.00018912808 0.00023845959 0.00016942424 0.0002787302 0.00048109007 0.0026007628 0.00033438994 0.0003079264 0.00033395848 0.00036703792 0.00034762174 0.00040587032 0.00039206323 0.0011075858 0.0002682311 0.00027096373 0.00032087055 0.00041162324 0.000242199 0.0004976298 0.0026896459 0.00514112 0.001084574 0.00063311163 0.0009962664 0.0016017639 0.0016838871 0.00081519235 0.0013958084 0.0037827054 0.00037710558 0.0004205403 0.0006295161 0.002279461 0.0005459545 0.0018416616 0.00504821 0.0075160796 0.0019495294 0.0011070105 0.0019722534 0.0027706185 0.0029340023 0.0015960109 0.0026383009 0.005206991 0.00053516775 0.000623044 0.00071825524 0.0033283667 0.0011412406 0.002568834 0.0049259597 0.047725286 0.049413487 0.049183946 0.05137855 0.049419817 0.050589964 0.05085805 0.05346658 0.049354233 0.05069093 0.05063052 0.052182093 0.05104646 0.0526255 0.053132337 0.055680744 14940.0 10.381794 155104.0 0.04246828 0.0047194143 0.008929493 0.0050159893 0.0049773054 0.00537059 0.0050030947 0.0056220344 0.005435063 0.005319012 0.005319012 0.005119146 0.0059895297 0.006395709 0.013068651 0.0073628016 0.013603776 0.010276975 0.0083427895 0.010766969 0.008117135 0.011160254 0.00817516 0.0074014855 0.0074853003 0.007955953 0.006015319 0.007214514 0.0077818753 0.008091345 0.00779477 0.006627811 0.0049708583 0.010766969 0.007214514 0.009658036 0.010070662 0.008142923 0.008890809 0.0067889933 0.0059250565 0.008955281 0.005396379 0.005660718 0.00651176 0.0077818753 0.007962399 0.00651176 0.0089810705 0.0054286155 0.0078979265 0.011231174 0.008271869 0.006679389 0.008252528 0.0069050444 0.0060088714 0.0053834845 0.005080462 0.0058090053 0.0057187434 0.0059443987 0.00544151 0.009870796 0.005280328 0.025389416 0.010521973 0.01708531 0.017555963 0.050424233 0.012778522 0.011128018 0.013423252 0.029954094 0.005847689 0.0072403033 0.022127088 0.014055085 0.028007014 0.031082371 0.012088663 0.005931504 0.029734887 0.023816278 0.03645941 0.015318754 0.008304106 0.008252528 0.0069759646 0.010638024 0.005615587 0.005705849 0.005480194 0.0058219 0.005344801 0.005570456 6.266093 2.0 26.0 7.0 53.0 3477504.0 3485696.0 1.0 0.0 106.0 0.0 1.0 0.0 0.0 0.0 1231813800.0 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 8.0 0.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 3411968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3906198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3656995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6170774 0.0 7.8396087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12118.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42132.0 0.0 3411032.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 58856.0 3411032.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 49664.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 56952.0 0.0 0.0 436.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.1650218 0.0071706604 0.010083094 0.005707542 0.008005742 0.005348664 0.005959447 0.0063390294 0.0082990555 0.00749158 0.0052934517 0.0051209144 0.007867712 0.008264548 0.0054763416 0.006301071 0.007108547 0.0056695836 0.00496218 0.0070843915 0.008927093 0.0061595906 0.005096759 0.006173393 0.0062665637 0.005013941 0.0048414036 0.00776764 0.005362467 0.0069981227 0.0049242214 0.005804163 0.007243126 0.0049276724 0.0047758394 0.0050070398 0.005793811 0.0064045936 0.0066530476 0.0050760545 0.0051450697 0.0055764136 0.0052278875 0.005403876 0.005403876 0.0055729626 0.00579036 0.0057558524 0.0061009275 0.0056695836 0.0071844636 0.006777275 0.005459088 0.00514852 0.005886981 0.005621273 0.011415084 0.0052969027 0.0062286053 0.0062286053 0.0058524734 0.0061699427 0.005290001 0.005886981 0.0027951081 0.0012664256 0.0014389631 0.0048586573 0.0024569347 0.0032609596 0.00090409676 0.0006797979 0.00095240725 0.0028917294 0.0033920882 0.003185043 0.001080085 0.0011007895 0.0005797261 0.0042030145 0.0016149514 0.0013872018 0.00031401834 0.0019600266 0.00034162434 0.0010835357 0.0010317746 0.0019600266 0.0012181151 0.000983464 0.0018599547 0.0023189045 0.0019979847 0.0015010766 0.0022360866 0.0006211352 0.0022982 0.002287848 0.002201579 0.0020704505 0.002242988 0.0029124338 0.001162903 0.0008419832 0.0014872736 0.0011974105 0.0021222117 0.0020393939 0.0021808746 0.0011042403 0.003188494 0.0016115006 0.0006452904 0.00041063936 0.0017081217 0.0013768496 0.0029400398 0.00390625 0.0012388196 0.0015459365 0.0013319899 0.0006176844 0.00022084806 0.00027260932 0.0016701635 0.001135297 0.0024845407 0.005290001 0.0051450697 0.0006107829 0.0007971235 0.0025708093 0.0077952463 0.0016839664 0.0010145208 0.00017943904 0.0008488847 0.008033348 0.00089719525 0.0059801512 0.0014113571 0.0028330665 0.004033928 0.00032437057 0.00043134385 0.0011007895 0.0013112853 0.0017702352 0.0036612467 0.0012664256 0.0010697328 0.0005176126 0.0013112853 0.0033541298 0.00025535555 0.00025190483 0.00046585136 0.003295467 0.0025501049 0.0014941752 0.0024431315 0.0007867712 0.0052140844 0.00043824536 0.001066282 0.0013319899 0.0002588063 0.00056592317 0.0015735424 0.00060043065 0.00013803004 0.00017253755 0.0001759883 0.00027606008 0.0018047427 0.0011836075 0.0011456492 0.0012698764 0.00012077628 0.00081782794 0.00044514687 0.00066254416 0.042040497 0.0020462952 0.00076261593 0.0009075475 8.971952e-05 7.936727e-05 0.001273327 0.0021843254 0.041346896 0.0014596676 0.0016736141 0.0014148079 0.000859237 0.0011111418 0.00128713 0.0012112135 0.0004002871 0.00082818023 0.0031367326 0.0012526226 0.0016701635 0.00024845407 0.002315454 0.0009903655 0.041139852 0.00011732553 0.004931123 0.0011974105 0.00070740393 0.00026915857 0.00087994145 8.971952e-05 0.0015424857 0.001080085 0.00076261593 0.00032091982 0.0017012202 0.003989068 0.0008626877 0.0014424139 0.0003726811 0.00044514687 0.0005072604 0.00011042403 0.0010317746 0.005210634 0.0008074757 0.00054521865 0.00011042403 0.0007453622 0.0030366608 0.00160805 0.0006763472 0.0010904373 0.004655063 0.0001897913 0.0001828898 0.00017253755 0.0016805157 0.0032402552 0.0042858324 0.00022774955 0.00047620363 0.00058662763 0.004554991 0.0013664974 0.0024603854 0.004479075 0.00033127208 0.0062976205 0.0011421986 0.0018392502 0.002812362 0.00923421 0.09219858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003348709 5.021332e-05 5.021332e-05 5.194481e-06 2.4240913e-05 8.657469e-06 3.636137e-05 1.7314938e-05 0.0 0.0 0.0 0.0 0.0 5.194481e-06 0.0 0.0 0.0065034907 1.2120457e-05 2.4240913e-05 8.657469e-06 0.00012986203 3.116689e-05 0.00017488087 8.657469e-05 8.657469e-06 3.4629875e-06 5.194481e-06 3.4629877e-05 5.194481e-06 1.5583444e-05 6.925975e-06 4.155585e-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 0.0029885583 9.696365e-05 0.000102158134 5.194481e-06 8.31117e-05 4.8481827e-05 9.0037676e-05 6.0602284e-05 1.0388962e-05 1.7314937e-06 2.2509419e-05 3.4629875e-06 5.194481e-06 1.0388962e-05 6.925975e-06 1.0388962e-05 0.0026422595 4.3287346e-05 5.194481e-06 2.77039e-05 1.2120457e-05 3.4629875e-06 2.0777925e-05 1.5583444e-05 5.54078e-05 2.9435394e-05 2.0777925e-05 0.00039824357 0.00022855718 1.2120457e-05 6.925975e-06 2.4240913e-05 0.0053174174 0.00042248447 0.00026318704 0.00018353834 0.00041729 3.8092865e-05 0.0001662234 0.00013159352 0.00032725232 0.00035668773 5.021332e-05 0.0062680077 0.0030768644 0.00014544548 8.830618e-05 0.0004778923 0.0862509 0.075228214 0.0757442 0.0752109 0.0006319952 0.00023548315 0.001960051 0.0012033882 0.00096617354 0.0008969138 0.00023721466 0.01577564 0.008015085 0.00045711437 0.00027184453 0.0008865248 0.006219526 0.0014007785 0.001272648 0.0017124474 0.0010094609 0.00037919715 0.0019184952 0.0014440658 0.00409152 0.0037002023 0.0019236896 0.030039687 0.014494334 0.0010631372 0.0015341035 0.002264794 0.006889614 0.0011133505 0.0007774407 0.0014371398 0.00081726507 0.0007531998 0.0031703652 0.002507203 0.0035374418 0.0031928746 0.0021816823 0.022147536 0.01078028 0.0012916944 0.001515057 0.0017176418 0.0061623864 0.00071510696 0.0007774407 0.00065796764 0.0008259225 0.00046057734 0.0016812804 0.0016587711 0.0016137522 0.0019860233 0.00062853226 0.010103267 0.0052014072 0.0006371897 0.00032205784 0.0020293107 0.004962461 0.00083284854 0.0008692099 0.0035859237 0.0005315686 0.00032552084 0.0006112173 0.000960979 0.0017245678 0.000960979 0.0014977421 0.0014423344 0.00088306185 0.00043460494 0.0010371648 0.0006164118 0.0054334276 0.0016016318 0.0014284824 0.0012033882 0.0012432125 0.00057658745 0.001672623 0.00096444204 0.002110691 0.0016085578 0.0012536015 0.00050559617 0.0007705147 0.0017661237 0.0010631372 0.0016206782 0.017185075 0.005028258 0.0027288343 0.005435159 0.010139627 0.0065762135 0.006889614 0.0048325993 0.012684924 0.0035149325 0.0019444675 0.0024708416 0.0065883338 0.004529588 0.006378823 0.013001787 0.01731667 0.010395889 0.0048568402 0.009533605 0.017127937 0.011370719 0.010991523 0.011294534 0.0149653 0.0063649714 0.0063407305 0.006335536 0.0077899904 0.008479125 0.007121634 0.019927762 0.0020016069 0.0015375665 0.0011445174 0.0015583445 0.0021487838 0.0016847434 0.0016172152 0.0016674285 0.0022145805 0.0015739278 0.001984292 0.0014613807 0.0020206533 0.001812874 0.001395584 0.002545296 1968.0 8.793699 17306.0 0.026580377 0.017566161 0.015312608 0.016641628 0.014676991 0.026175892 0.016930545 0.019010747 0.015023692 0.015428175 0.017161679 0.017335027 0.016237143 0.01635271 0.01617936 0.016237143 0.016699411 0.019877499 0.017277244 0.017739512 0.01820178 0.01785508 0.018432913 0.017392812 0.017681729 0.018548481 0.01872183 0.014965908 0.018028429 0.015428175 0.019646365 0.020859817 0.0016757194 0.0027736046 0.0015601525 0.008320814 0.0020802035 0.0021957702 0.0058361264 0.0027736046 0.010401017 0.036692478 0.00046226743 0.0010401017 0.0027736046 0.0021379867 0.00092453486 0.0076851957 0.006125043 0.0011556685 0.0011556685 0.0049693747 0.002311337 0.001213452 0.0049693747 0.002946955 0.00075118453 0.0006356177 0.009071998 0.0010978851 0.004160407 0.0008667514 0.000808968 0.0036981395 0.03559459 0.014908125 0.0043915403 0.013579106 0.017392812 0.02357564 0.00202242 0.002946955 0.002946955 0.010227667 0.0012712354 0.0013868023 0.009996533 0.0036981395 0.008956431 0.014676991 0.004738241 0.002426904 0.015254825 0.0088408645 0.018490696 0.006645094 0.003120305 0.010516584 0.002946955 0.0038714895 0.00092453486 0.0006356177 0.0046804575 0.000808968 0.009129781 0.033918872 6.0727434 0.0 0.0 0.0 3.0 289792.0 421888.0 0.0 1.0 103.0 1.0 1.0 0.0 0.0 0.0 1499132900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 130560.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30208.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 -130560.0 0.0 121344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.607224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.4067602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.721375 0.0 6.368813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5490.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -146308.0 0.0 0.0 0.0 0.0 0.0 0.0 -4101.0 0.0 -130278.0 0.0 121096.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70.0 134304.0 120.0 131700.0 121096.0 290816.0 0.0 0.0 0.0 0.0 2320.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12936.0 0.0 0.0 432.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.12145067 0.010415774 0.00705043 0.008063248 0.0073112263 0.005980451 0.003349267 0.0037851182 0.012094873 0.0022042643 0.0020113464 0.0016487325 0.006491326 0.0033135414 0.001548701 0.008593773 0.007561305 0.0016147932 0.0013075538 0.0018255737 0.005780388 0.002352525 0.0012200263 0.0011950184 0.0038262026 0.0017505501 0.0011753694 0.0012253851 0.0032152962 0.0011843008 0.0010646203 0.0013700734 0.004474621 0.0010163909 0.0015326246 0.0011432164 0.019047057 0.0024221898 0.0010128183 0.0010914145 0.0021864015 0.0013575695 0.0010128183 0.005174841 0.0017201835 0.0011735831 0.0010771243 0.0009574438 0.003874432 0.0022632112 0.0022006917 0.0062698275 0.0028044528 0.004756852 0.0022667837 0.0023114407 0.0032438766 0.0031795707 0.0024186173 0.004942625 0.002690131 0.0023757466 0.0021220956 0.0021738976 0.004328146 0.0023042955 0.0017880619 0.0019005974 0.010356827 0.020508232 0.0031063333 0.013289891 0.002825888 0.0014558147 0.0014593872 0.0012110949 0.004321001 0.0070790104 0.001580854 0.0012914774 0.006589571 0.003220655 0.001341493 0.0030598904 0.002682986 0.0044353227 0.003401069 0.0030348825 0.0023418074 0.0044388953 0.0014343794 0.0017612678 0.003686873 0.004919403 0.0022632112 0.0019363229 0.0020827975 0.0016451599 0.0010574752 0.0015236932 0.0039869673 0.0036582926 0.0025150762 0.0011914459 0.0060929866 0.0051676957 0.0055124466 0.0024346937 0.0022953642 0.0012932636 0.0016933894 0.001879162 0.0024007545 0.000978879 0.00260439 0.0021685387 0.00833119 0.00826867 0.0016773129 0.0016898168 0.002391823 0.0013593558 0.0010271085 0.001062834 0.0020881563 0.00260439 0.001716611 0.001489754 0.0031188373 0.0017862757 0.0011896596 0.009767355 0.0036440024 0.012614679 0.0012664695 0.001107491 0.0024972134 0.012102018 0.001529052 0.029786147 0.0017398326 0.011049901 0.00112714 0.0011753694 0.0021328132 0.0010128183 0.0010914145 0.0013432793 0.0013950813 0.0017773443 0.00093600847 0.0011396438 0.0018309326 0.0011914459 0.0011057047 0.0010056732 0.0014915402 0.0023828917 0.0009806653 0.0013843636 0.0022256996 0.002195333 0.001334348 0.0016951757 0.001548701 0.0018309326 0.0009556575 0.0010217497 0.0018434365 0.0010074595 0.0009467261 0.0011092772 0.0016898168 0.001011032 0.00096637517 0.0033707023 0.002027423 0.0011003459 0.0010288948 0.001134285 0.0018934523 0.0022596389 0.002170325 0.0017737717 0.0030723943 0.0013647146 0.0011182086 0.0011324987 0.0014325931 0.0017791305 0.0012718283 0.0011289263 0.007302295 0.0058607706 0.0034439396 0.0034743063 0.0030456001 0.0011057047 0.0034939554 0.005612478 0.005332033 0.003063463 0.0019809797 0.001302195 0.0032510217 0.001198591 0.001425448 0.001302195 0.0031116921 0.0016898168 0.0017237561 0.001405799 0.0026651234 0.0012789734 0.0016951757 0.001321844 0.002909843 0.0020167052 0.0011146361 0.0016058618 0.015067236 0.012845108 0.0040709223 0.0017112521 0.004204893 0.0018541542 0.0012164537 0.0010610478 0.0031331275 0.0014754637 0.0010878419 0.0010681929 0.013648933 0.004828303 0.0012253851 0.0038387065 0.0057053645 0.0010896282 0.0012075223 0.001580854 0.004658607 0.0014593872 0.0015451284 0.001445097 0.0031867158 0.0021917603 0.002774086 0.0021149504 0.005907214 0.0018112835 0.0020095601 0.0034225043 0.00817757 0.004029838 0.008245449 0.06770164 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010570169 0.00045781967 0.0005563719 0.0003968965 0.001563396 0.0005151591 0.0013958572 0.0008269424 0.00047484232 0.00039510464 0.00050351204 0.00080275227 0.00068717747 0.0005357655 0.0007749785 0.0015616041 0.0107395 0.0014290066 0.001499785 0.018544832 0.0024539493 0.0018285909 0.0024888904 0.0021072247 0.002028383 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058370665 0.015331135 0.021611597 0.01040711 0.03268707 0.020397613 0.013045621 0.013566155 0.0374561 0.0032558057 0.0057276734 0.00499122 0.019472118 0.020557089 0.016534368 0.031359304 0.013890482 0.010732332 0.010668721 0.010552251 0.01096169 0.010475201 0.010607799 0.010326477 0.011291392 0.010934812 0.010687536 0.010789672 0.010445635 0.01053254 0.010638259 0.010777129 2006.0 10.398305 20859.0 0.020806367 0.0038352748 0.0054652668 0.003739393 0.013279639 0.003643511 0.0041708616 0.0065679085 0.0062323217 0.0033558656 0.00460233 0.0054652668 0.006807613 0.0045064483 0.005992617 0.0049858573 0.024258114 0.017881969 0.017019033 0.018649025 0.019703725 0.019272257 0.016587565 0.018073734 0.019799607 0.01898461 0.018217556 0.018888729 0.01792991 0.015628746 0.015532863 0.014382281 0.007718491 0.008149959 0.0049858573 0.0092526 0.010642888 0.0063282037 0.007047318 0.007814373 0.008341723 0.0057529123 0.0035476293 0.0041229203 0.008149959 0.0057529123 0.0045064483 0.0069993767 0.013423462 0.0070952587 0.005896735 0.0115058245 0.009636128 0.0057529123 0.007718491 0.009492305 0.0055611487 0.0050817393 0.004889976 0.004458507 0.007047318 0.0043146843 0.0041229203 0.0073349634 0.007622609 0.017162856 0.008533487 0.016731387 0.016012274 0.03581188 0.007958195 0.008533487 0.011362002 0.017834028 0.008102018 0.005992617 0.018073734 0.009348483 0.0174505 0.022196654 0.009396424 0.0035955703 0.023395177 0.017738147 0.032024547 0.01179347 0.0055132075 0.0062802625 0.009348483 0.007814373 0.004650271 0.0038832158 0.006519967 0.0035476293 0.0034517474 0.0056090895 6.321861 0.0 9.0 0.0 6.0 559824.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 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 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -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 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553840.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0