Input: 0.04777939 0.0040095123 0.0040669055 0.003797938 0.0037985381 0.003815736 0.0050217896 0.0071167345 0.0036135607 0.0035909633 0.0036007622 0.0036651543 0.003995914 0.003585964 0.0035239714 0.0036001622 0.00460444 0.0038929267 0.0036237594 0.0036155602 0.0035615668 0.0036045618 0.0035165723 0.0034975747 0.0035845642 0.0035591673 0.0036309585 0.003479777 0.0034941752 0.0035267712 0.0035097732 0.003691951 0.0043978654 0.0035127727 0.0036863517 0.0040331096 0.0035657664 0.0035127727 0.0035139727 0.0034623789 0.0035295708 0.0035419692 0.0035041738 0.0035657664 0.0036857517 0.0035647666 0.003494775 0.0035135727 0.0035909633 0.0035387697 0.0066913865 0.0036039618 0.0034937751 0.0034731776 0.0034841762 0.0034891758 0.0035007743 0.0035901635 0.003543969 0.003544369 0.0035411695 0.003544569 0.0034901756 0.0035323706 0.0039523193 0.0037717414 0.0035673662 0.0035547677 0.0036081614 0.0037099489 0.0035399694 0.0035007743 0.0035491684 0.003544369 0.0035633666 0.0035253714 0.0035513681 0.003602162 0.0036081614 0.003568766 0.0036937508 0.003627759 0.0036653543 0.00361876 0.0035619668 0.0035557677 0.003577165 0.0035337703 0.003502974 0.0035481686 0.003642557 0.003880528 0.0035877638 0.0035707657 0.003552768 0.0035005743 0.003627159 0.003685352 0.0035295708 0.0035957627 0.004588242 0.007137332 0.0036575552 0.0035789649 0.0036061616 0.0036767528 0.0035963627 0.0035517681 0.0036977504 0.0036353578 0.0036119607 0.003577565 0.003643557 0.0035965627 0.0036857517 0.0035987624 0.0037969383 0.0036301585 0.00353497 0.003518972 0.003553368 0.0035571675 0.003659755 0.003610561 0.003559967 0.0035961627 0.0035313705 0.003528371 0.00435707 0.003774741 0.004054307 0.0037679418 0.0035971627 0.0037927388 0.0035645666 0.0036225596 0.003626559 0.0037105489 0.0035903633 0.0041256985 0.0036535556 0.00370095 0.0035561675 0.0035625668 0.0037203475 0.0035225716 0.0035615668 0.003518772 0.0035881638 0.0035723655 0.0035635666 0.0035481686 0.0035321706 0.003519172 0.00361776 0.0035459688 0.0035983624 0.0036299585 0.0036781528 0.0035723655 0.00378294 0.0038837278 0.003568966 0.0035665664 0.0035755653 0.0036075613 0.003560167 0.00353617 0.0035327703 0.0035385697 0.003592963 0.0036525559 0.0034965747 0.0035417692 0.0035809646 0.003734346 0.0037759407 0.00370075 0.0036861517 0.0035753653 0.0035409695 0.0035591673 0.0037577432 0.003718148 0.003626359 0.003660355 0.0036741532 0.0044268616 0.0069279578 0.0035017743 0.00353657 0.0036709537 0.003806537 0.003543569 0.0035669662 0.0037037497 0.0035321706 0.0035047738 0.0035421692 0.0035229716 0.0034725778 0.0035907633 0.00353477 0.003561367 0.0035093732 0.003485776 0.003470978 0.003552968 0.0035591673 0.0035555677 0.0035713657 0.0036789526 0.0034993745 0.003518172 0.003560767 0.0035429692 0.0035965627 0.0035057736 0.0035319705 0.0035071736 0.003552968 0.0035571675 0.0035709657 0.0034937751 0.0036139605 0.0035223716 0.0034777771 0.00353497 0.0035465688 0.0036307585 0.003528371 0.0035487686 0.0038845276 0.0036089611 0.0034993745 0.0036151605 0.00353517 0.0036039618 0.003724947 0.0034985745 0.003723747 0.0035515681 0.0035819644 0.0034977747 0.0035337703 0.003479177 0.0034837765 0.0035043738 0.0035779648 0.0036039618 0.00353557 0.0035725655 0.0036399574 0.0038287344 0.007064541 0.014294262 0.010440137 2.0003328e-07 1.3002164e-06 3.0004992e-07 1.0001664e-07 2.0003328e-07 1.0001664e-06 5.000832e-07 1.2001997e-06 1.0001664e-07 0.0 9.0014976e-07 4.0006657e-07 2.0003328e-07 0.0 0.0 0.00096596073 1.9603262e-05 1.5002496e-05 9.0014976e-07 1.6002663e-06 6.0009984e-07 3.8006324e-06 8.0013314e-07 7.201198e-06 7.001165e-07 4.0006657e-07 4.0006657e-06 2.0003328e-07 6.0009984e-07 7.001165e-07 2.1003495e-06 0.002367994 3.4005658e-05 1.6202695e-05 2.0103345e-05 3.7006157e-06 4.1006824e-06 9.501581e-06 5.000832e-06 2.0303378e-05 1.2001997e-06 1.6002663e-06 7.4012314e-06 3.3005492e-06 1.1001831e-06 5.9009817e-06 0.00016142685 0.002787564 0.00016462739 5.360892e-05 7.701282e-06 7.4012314e-06 1.1001831e-06 1.790298e-05 7.6012648e-06 1.30021635e-05 1.3002164e-06 2.1003495e-06 1.7202863e-05 4.500749e-06 1.8002995e-06 1.41023465e-05 0.0007903315 0.0031786289 0.0009089513 1.7502913e-05 0.00017772957 8.501414e-06 2.0403395e-05 1.3902313e-05 4.500749e-06 0.00053338875 4.700782e-06 5.700949e-06 2.740456e-05 7.001165e-06 6.401065e-06 1.490248e-05 0.0003960659 0.0016556755 9.201531e-06 0.00014912481 0.0007301215 5.300882e-06 9.571593e-05 4.110684e-05 2.7004494e-06 3.850641e-05 6.5010818e-06 1.3202197e-05 3.9206523e-05 3.8006324e-06 2.9004827e-06 7.201198e-06 6.7411216e-05 0.0032736447 6.2210354e-05 0.00013202197 0.0006458075 9.641604e-05 0.00014022333 0.00013532252 3.240539e-05 0.00023333883 0.00010781794 7.771293e-05 0.00013452239 1.1401898e-05 9.1015145e-06 1.6902814e-05 0.00021683608 0.004802699 2.9904977e-05 0.00022033666 0.00019903312 7.5312535e-05 7.561258e-05 0.0009230536 0.000106417705 1.7802962e-05 2.3603927e-05 0.00016542753 0.0007464242 1.1201864e-05 6.2010317e-06 0.00011401897 0.0010859807 0.0069791614 0.000100816775 0.00022593759 0.0001250208 0.0001959326 0.00013332219 0.0013583261 0.00017032835 0.0001130188 8.6314365e-05 0.0002235372 0.0012062007 1.5902646e-05 1.0901814e-05 0.00018273041 0.0019819299 0.002530721 8.161358e-05 0.00032245365 5.65094e-05 9.531586e-05 9.091513e-05 0.00040726777 9.861641e-05 0.00017802963 0.00010671776 7.041172e-05 0.00029644932 2.8104676e-05 2.3503912e-05 6.5710934e-05 0.00066851126 0.0020783457 0.000109118155 0.00027684605 0.0005481912 0.0001875312 0.00017422899 0.00044637427 0.00017262873 0.00040256698 0.00012412065 0.000103117156 0.00041516908 5.89098e-05 5.6209352e-05 5.65094e-05 0.0005254874 0.0018769123 0.000108518056 0.00025584258 0.00030055002 0.00015232534 0.00012952155 0.00042507073 0.00017002829 0.00023823965 0.000121420206 0.00015342553 0.0004032671 6.391064e-05 4.920819e-05 8.05134e-05 0.0007969326 0.0067176176 0.0008449406 0.0006713117 0.0009902648 0.00048578082 0.0006381062 0.0023869972 0.00086864457 0.0012025001 0.0009898647 0.0013055173 0.002805967 0.0005956991 0.00083673926 0.0007662275 0.0069802613 0.0020354388 0.00021973657 0.00026904477 0.00018293044 0.0003586597 0.0003312551 0.0005439905 0.0003203533 0.00069881626 0.00034455734 0.00028104676 0.00053428893 0.00032725444 0.00022793793 0.00030245032 0.0016252705 0.0014358389 0.00022823797 0.0002627437 0.0003011501 0.0005438905 0.0005654941 0.00032495408 0.0003370561 0.00095915963 0.0001286214 0.00011761957 0.00018953154 0.00048748113 0.00025344218 0.00047167848 0.0009719617 0.055392917 0.05547653 0.055199087 0.055371713 0.055503137 0.05522329 0.055315703 0.055306405 0.05540552 0.055244893 0.05523689 0.05551674 0.0552874 0.055321906 0.0552805 0.05521029 21631.0 6.7743516 146536.0 0.0228681 0.008195939 0.008352896 0.00818229 0.0082573565 0.008373369 0.008557624 0.008079926 0.008564448 0.009178632 0.008721407 0.008400666 0.012229077 0.008844243 0.008421139 0.009199104 0.009212753 0.008796473 0.11615576 0.008550799 0.008625867 0.0085780965 0.008537151 0.008659988 0.008462084 0.009356063 0.008837419 0.008659988 0.008509854 0.008571273 0.008305127 0.0084893815 0.008755527 0.008885189 0.008325599 0.008810122 0.008619042 0.009048971 0.008646339 0.008557624 0.0080526285 0.008926135 0.008298302 0.008646339 0.0080526285 0.009942949 0.0103592295 0.010441121 0.009676803 0.009949774 0.011771851 0.010325108 0.009403832 0.008776001 0.008659988 0.008789649 0.008216411 0.008714582 0.011348747 0.018507397 0.008448436 0.008557624 0.009567615 0.008148168 0.008946607 0.011478408 0.008427963 0.009547142 0.010045313 0.012604411 0.00845526 0.009895179 0.008687285 0.010413824 0.007888846 0.008912486 0.012044822 0.008912486 0.0097177485 0.009485723 0.009553966 0.008311951 0.010379702 0.009472075 0.0103592295 0.00882377 0.008298302 0.008414314 0.008796473 0.009642682 0.008953432 0.008584921 0.008393842 0.008216411 0.008209587 0.008161817 6.3026323 0.0 1.0 0.0 59.0 5000608.0 614400.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 497664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 4.5302963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 497324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 497324.0 114688.0 0.0 0.0 8704.0 22422768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.30463484 0.01678826 0.02657782 0.0223269 0.0167356 0.018425437 0.014485677 0.01683613 0.014993107 0.014222388 0.027650123 0.0018143 0.0023600261 0.0019339767 0.001957912 0.0026711856 0.002431832 0.0019148284 0.002087163 0.001957912 0.0020584406 0.0016371784 0.0017760034 0.0019674862 0.0023408777 0.001546224 0.0019770605 0.0024126838 0.0019674862 0.0015988818 0.00201057 0.0020536536 0.0027382046 0.0019435509 0.0016706878 0.002015357 0.007869945 0.00201057 0.0021302467 0.0019244025 0.001957912 0.001953125 0.0016467525 0.0021781174 0.0026424632 0.001957912 0.0016994103 0.0018430224 0.0019244025 0.002096737 0.0022786458 0.0020392924 0.0020297181 0.0019483379 0.0019914217 0.0025227864 0.0023073682 0.0019100413 0.0016419654 0.0017999387 0.002225988 0.0018430224 0.002221201 0.0019435509 0.001881319 0.0019626992 0.0018047258 0.0019674862 0.0042748544 0.0022499233 0.0023743873 0.0024174708 0.0028483074 0.0017999387 0.001756855 0.0021158855 0.003508923 0.002225988 0.001546224 0.0017616422 0.0019722732 0.0018573835 0.0019244025 0.0019004672 0.002494064 0.0023121554 0.00228822 0.0021972656 0.0018956801 0.001819087 0.0020680148 0.0025275736 0.0021206725 0.0018525965 0.002087163 0.0019387638 0.0019291897 0.0019339767 0.0016946231 0.0019770605 0.0020775888 0.0019866345 0.0021015243 0.0018478094 0.002149395 0.0018956801 0.0018143 0.0016371784 0.00209195 0.0027908625 0.0018621706 0.0024414062 0.002096737 0.0021254595 0.0021206725 0.0020536536 0.0026568244 0.0022594975 0.0019962087 0.0017424938 0.0017329197 0.0019100413 0.0023313037 0.001756855 0.0019100413 0.0018047258 0.0021206725 0.0015988818 0.001819087 0.0019818475 0.0014839921 0.0026376762 0.002556296 0.0025802313 0.0017472809 0.0024509805 0.0020775888 0.004844516 0.0020488664 0.004255706 0.0019052543 0.0023217294 0.0017089844 0.0015749463 0.0019244025 0.0020728018 0.002154182 0.0015988818 0.0018956801 0.0016515395 0.0016706878 0.002293007 0.002096737 0.0018047258 0.0015653722 0.0019291897 0.0021110983 0.0018382353 0.0018669578 0.0020632276 0.0018717448 0.0018382353 0.0020584406 0.001756855 0.0020009957 0.0018286612 0.0019291897 0.0017137715 0.001752068 0.0022020526 0.0017377068 0.0019052543 0.0019866345 0.0021015243 0.001819087 0.002158969 0.0020057827 0.0017377068 0.0017233456 0.001685049 0.0018908931 0.0016132429 0.001752068 0.0018095128 0.0017760034 0.0016754749 0.002015357 0.0017472809 0.0019004672 0.0016228171 0.0021206725 0.002293007 0.0022116269 0.0023983226 0.002561083 0.0020823758 0.0019962087 0.0018143 0.002293007 0.0026568244 0.001953125 0.001756855 0.0020536536 0.0015605852 0.001819087 0.0020392924 0.0021206725 0.0019291897 0.0021781174 0.0019339767 0.0017472809 0.0018669578 0.0018621706 0.0023600261 0.0019244025 0.0022977942 0.0019004672 0.001752068 0.0016802619 0.0019818475 0.0019818475 0.0018478094 0.001881319 0.0017137715 0.0018430224 0.0016228171 0.002293007 0.0018143 0.0020584406 0.0018382353 0.0019291897 0.0020392924 0.0025802313 0.0021254595 0.0018478094 0.0019866345 0.0021972656 0.0020488664 0.0019196155 0.0019339767 0.0018908931 0.0019914217 0.0022068399 0.001752068 0.0015653722 0.0020775888 0.0018478094 0.0021015243 0.0031929763 0.0016754749 0.0021685432 0.0021350337 0.0022786458 0.0019291897 0.0019244025 0.0032073376 0.25581607 7.215979e-06 3.367457e-05 2.1647937e-05 4.8106525e-05 6.013316e-05 6.2538486e-05 3.367457e-05 0.0 9.621305e-06 2.4053263e-06 1.4431958e-05 1.4431958e-05 7.215979e-06 1.4431958e-05 1.2026631e-05 0.004760141 1.924261e-05 1.924261e-05 1.2026631e-05 4.8106526e-06 4.8106526e-06 1.2026631e-05 7.215979e-06 1.6837284e-05 1.4431958e-05 7.215979e-06 1.2026631e-05 9.621305e-06 1.2026631e-05 7.215979e-06 7.215979e-06 0.03186095 0.00014672491 0.00020685807 0.0005363878 0.0002092634 0.00014191425 0.0002188847 0.00017799415 0.00011786099 0.00010342903 0.00011305034 0.0001274823 0.0001274823 0.000108239685 0.0001371036 0.00014913024 0.0043969364 3.367457e-05 3.6079895e-05 2.8863917e-05 4.57012e-05 2.645859e-05 3.367457e-05 3.1269243e-05 3.848522e-05 3.848522e-05 3.1269243e-05 3.6079895e-05 2.1647937e-05 4.8106525e-05 3.848522e-05 4.0890547e-05 0.020991283 0.00013950893 0.00018039948 0.0002188847 0.00039928418 0.00023812731 0.00096213055 0.00069754466 0.00011305034 9.861838e-05 0.000108239685 9.621305e-05 0.00010583436 9.621305e-05 0.000108239685 7.697044e-05 0.012067522 0.00021166872 0.00026699124 0.00015394088 0.00022369534 0.00021166872 0.0001371036 0.00022610067 0.00022129003 0.00014431958 9.14024e-05 0.00013229295 0.00019723676 0.00014191425 0.0001731835 0.00017799415 0.02271109 0.00045220135 0.0005460091 0.0005075239 0.0006037369 0.0004738493 0.00066146476 0.0005315771 0.00035117764 0.00035117764 0.00036801494 0.0003824469 0.00039447352 0.00039447352 0.00042814808 0.00039928418 0.014388662 0.00028623384 0.00038966286 0.00035117764 0.0003559883 0.0003752309 0.0003030711 0.00039928418 0.0004185268 0.00035358296 0.00029826048 0.00030788177 0.0004185268 0.00032952972 0.000346367 0.0003824469 0.013282212 0.0004377694 0.00041612145 0.00048587593 0.00048106528 0.00044979603 0.00039687884 0.00040650016 0.00038725755 0.0004473907 0.00041131082 0.00039928418 0.00042574276 0.00040890547 0.00042574276 0.00044258006 0.008916545 0.0003848522 0.0004377694 0.0003175031 0.0005652517 0.00042333745 0.00027661253 0.0003199084 0.00072400324 0.00031509774 0.00025736992 0.00027180187 0.00042574276 0.00028623384 0.0004016895 0.0004546067 0.011766857 0.00046663333 0.00058930495 0.00058208895 0.0005772783 0.0004930919 0.00046903864 0.0005339825 0.0005724677 0.00048828125 0.00045941732 0.00042333745 0.00058930495 0.0005844943 0.0005003079 0.0006085476 0.017825874 0.0011064501 0.0012074738 0.0010848022 0.0011737993 0.0011737993 0.0011521514 0.0011882312 0.0010415063 0.0010583436 0.0010775862 0.0009933998 0.001024669 0.0011232874 0.0011232874 0.0011280981 0.01794133 0.0013421722 0.0015201663 0.0014095212 0.0015394088 0.0014023053 0.0013974946 0.0013181189 0.0014552225 0.0014768704 0.0013974946 0.0014480065 0.0014383851 0.0014167372 0.0015177609 0.0013878733 0.021532482 0.002749288 0.005816079 0.0027108027 0.0040890547 0.0030643858 0.0024149476 0.0026194004 0.00626347 0.0022561962 0.0020757967 0.0021503617 0.0032087055 0.0023740572 0.0024438116 0.0031966788 0.017681554 0.003028306 0.0052099368 0.0031678148 0.004437827 0.003538235 0.0029032289 0.0027516934 0.005592384 0.002638643 0.0025472406 0.0026554803 0.0035021552 0.0026097791 0.003059575 0.003641664 0.026439346 0.021032173 0.02144108 0.021284733 0.021874039 0.021330435 0.02089507 0.021077875 0.020856585 0.020885449 0.021561345 0.020050801 0.02149159 0.021104334 0.021506023 0.021996709 540.0 6.0518517 3268.0 0.0125458995 0.01132191 0.009485924 0.009485924 0.01621787 0.0076499386 0.010097919 0.008261934 0.007955937 0.006425949 0.008567931 0.009791922 0.012239902 0.010709914 0.015299877 0.010403917 0.008261934 0.013463892 0.01376989 0.008567931 0.010097919 0.009485924 0.012239902 0.010403917 0.010097919 0.011627907 0.006119951 0.008567931 0.007955937 0.0058139535 0.0076499386 0.01376989 0.006731946 0.009791922 0.0091799265 0.01376989 0.010097919 0.0125458995 0.013157895 0.0125458995 0.008567931 0.009791922 0.011933904 0.008261934 0.011933904 0.009485924 0.0076499386 0.008261934 0.008873929 0.008873929 0.011015912 0.010709914 0.008261934 0.011015912 0.008261934 0.011015912 0.011627907 0.012239902 0.009791922 0.007955937 0.009485924 0.0073439414 0.008261934 0.009485924 0.008567931 0.0125458995 0.007955937 0.0125458995 0.01132191 0.017747859 0.017747859 0.010709914 0.010709914 0.011015912 0.007955937 0.009485924 0.015605875 0.011015912 0.01376989 0.018053856 0.008261934 0.011933904 0.01499388 0.010097919 0.015299877 0.014075887 0.010097919 0.0091799265 0.010403917 0.0091799265 0.010097919 0.009791922 0.008567931 0.0070379437 0.005507956 0.006425949 6.5398517 0.0 0.0 0.0 4.0 208896.0 208896.0 1.0 0.0 14.0 1.0 1.0 0.0 0.0 0.0 1129817600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 0.0 5.0 0.0 5.0 0.0 114688.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 -40960.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 -4096.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3241167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5393351 7.3865795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4135036 -4.840268 3.2508266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39311.0 36318.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112114.0 -484.0 880.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68.0 140360.0 4156.0 159808.0 880.0 200704.0 0.0 0.0 0.0 0.0 208.0 204800.0 28.0 120112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 159744.0 0.0 0.0 0.0 0.0


Input: 0.24355125 0.00825119 0.005426407 0.007129669 0.009426117 0.0031757355 0.0033416748 0.004234314 0.012899399 0.0018348694 0.0018119812 0.0025157928 0.0074100494 0.0023078918 0.0014858246 0.010816574 0.0077495575 0.0019035339 0.0017337799 0.0017032623 0.0038909912 0.015010834 0.001209259 0.0012664795 0.0029296875 0.00078964233 0.00070762634 0.000957489 0.0023498535 0.0010070801 0.001045227 0.0011978149 0.002298355 0.00075531006 0.00074386597 0.0021305084 0.0030727386 0.0010490417 0.00097084045 0.0009613037 0.0016956329 0.0007209778 0.00068855286 0.00308609 0.0015563965 0.0007209778 0.0007915497 0.0007362366 0.0023078918 0.0010871887 0.00097465515 0.012929916 0.0016422272 0.00075149536 0.0008716583 0.0006752014 0.0014266968 0.0028457642 0.000831604 0.00484848 0.0020713806 0.0011234283 0.0009326935 0.0005950928 0.00374794 0.0016860962 0.0011043549 0.0018234253 0.0017051697 0.016965866 0.003572464 0.0011081696 0.0030651093 0.0015659332 0.0008029938 0.0008277893 0.0012817383 0.00793457 0.001329422 0.00086021423 0.008834839 0.0036296844 0.0019207001 0.0039482117 0.0010280609 0.008176804 0.0055294037 0.005142212 0.007926941 0.0033569336 0.002023697 0.0024757385 0.001493454 0.0062732697 0.0035114288 0.0028743744 0.0017242432 0.0023784637 0.00064086914 0.0007648468 0.0010375977 0.0020580292 0.0019607544 0.0006046295 0.0021247864 0.0012931824 0.0050144196 0.000705719 0.0011959076 0.0008544922 0.0007839203 0.0008792877 0.0013790131 0.0007724762 0.0019702911 0.0016803741 0.008220673 0.014005661 0.001701355 0.0011138916 0.0013599396 0.00086021423 0.00061035156 0.0011787415 0.0024089813 0.006181717 0.0015048981 0.00095939636 0.0050964355 0.0021152496 0.00082588196 0.010433197 0.0028686523 0.009881973 0.0011634827 0.00095939636 0.0023345947 0.01626587 0.0016403198 0.046455383 0.0017471313 0.010789871 0.00076293945 0.0007724762 0.002565384 0.0006275177 0.0006084442 0.0007381439 0.0011730194 0.0011196136 0.00054740906 0.00061035156 0.0009212494 0.0007419586 0.0005283356 0.00051498413 0.0010757446 0.0016059875 0.000749588 0.0007095337 0.002023697 0.0014820099 0.0005245209 0.0005168915 0.0012226105 0.0015010834 0.00057792664 0.0008907318 0.0010871887 0.0006427765 0.00060272217 0.0008659363 0.0018692017 0.00068092346 0.0005245209 0.0010471344 0.0017223358 0.0007266998 0.0005226135 0.0005607605 0.0013790131 0.0011463165 0.003501892 0.001115799 0.0028800964 0.0010108948 0.00068092346 0.00095176697 0.0013542175 0.001531601 0.0015296936 0.0012950897 0.008882523 0.0069026947 0.0048656464 0.0032691956 0.002614975 0.0013542175 0.00431633 0.0047779083 0.0030956268 0.0032310486 0.0014324188 0.0013065338 0.0015220642 0.0010128021 0.001953125 0.0015239716 0.0030021667 0.0053272247 0.0018520355 0.0010471344 0.0016422272 0.0006046295 0.001499176 0.0014381409 0.0028266907 0.0016117096 0.0013256073 0.0019035339 0.002166748 0.0006713867 0.0011329651 0.0011081696 0.0029830933 0.0011196136 0.0012073517 0.0007534027 0.0024547577 0.00094795227 0.0006637573 0.0007019043 0.012172699 0.0028305054 0.002046585 0.006580353 0.006958008 0.000749588 0.0010299683 0.0015125275 0.004732132 0.0020046234 0.0013980865 0.0019073486 0.0034179688 0.0012264252 0.0024700165 0.0028362274 0.005924225 0.002216339 0.0018959045 0.0023822784 0.0071163177 0.0025806427 0.0044021606 0.044216156 0.18573608 1.2422028e-05 1.3377568e-05 0.0 3.344392e-05 1.9110812e-05 2.8666218e-05 2.8666218e-05 3.8221624e-06 9.555406e-07 9.555406e-06 9.555406e-06 0.0 4.777703e-06 4.777703e-06 4.777703e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013702452 0.00010033177 6.975447e-05 2.1021893e-05 9.364298e-05 3.6310543e-05 6.7843386e-05 3.153284e-05 3.153284e-05 1.2422028e-05 3.248838e-05 1.624419e-05 2.6755137e-05 1.9110812e-06 9.555406e-06 3.5355002e-05 0.001304313 2.8666218e-05 3.344392e-05 2.2932974e-05 4.3954868e-05 2.3888515e-05 4.586595e-05 2.8666218e-05 0.00016435298 0.000118487034 2.4844056e-05 2.0066353e-05 1.8155271e-05 1.528865e-05 2.9621759e-05 3.439946e-05 0.004671638 0.0002331519 0.00028761773 0.00012326473 0.00026277365 0.00019493028 0.00024079623 0.0002188188 0.00049305893 0.00041088247 9.6509604e-05 8.408757e-05 0.00012326473 7.930987e-05 0.000105109466 0.0002025746 0.0030768407 0.0004873257 0.00014715326 0.00018441933 0.00028570663 0.00045101516 0.0002140411 0.00017773056 0.0006172792 0.00019588582 0.00017773056 0.00013664231 0.00037934963 0.0001528865 0.00013664231 0.0010071398 0.0004357265 4.2043786e-05 1.2422028e-05 3.344392e-05 0.00036310544 0.00010893163 7.739879e-05 5.1599192e-05 0.00049305893 2.8666218e-06 4.777703e-06 4.777703e-06 4.682149e-05 2.1021893e-05 5.064365e-05 0.00020830786 0.004742348 0.00089725264 0.0005007033 0.00063352345 0.0025140273 0.0015326871 0.0008074318 0.00089725264 0.0043811537 0.0004328599 0.00028188448 0.00036406098 0.0017677501 0.00041088247 0.0010778498 0.0041986452 0.042920973 0.012300674 0.0050872983 0.008525333 0.012983886 0.02116809 0.0058995076 0.012702001 0.0346909 0.0031561507 0.0038221625 0.004374465 0.0129160425 0.005719866 0.011192247 0.029546272 0.07208694 0.025471846 0.010815764 0.021250268 0.027059954 0.038149003 0.011190336 0.025838774 0.06585108 0.0058479086 0.0068483595 0.012042678 0.03087065 0.017753944 0.026549695 0.048556753 0.008979215 0.005882308 0.005018499 0.005131253 0.00575331 0.0065234755 0.0054465816 0.0059501515 0.007466594 0.004663038 0.004771014 0.0048684794 0.005957796 0.004973589 0.005556469 0.0069916905 736.0 9.10462 6701.0 0.017310848 0.0044769435 0.003283092 0.0034323235 0.013729294 0.004327712 0.0046261754 0.0031338606 0.0050738696 0.0041784807 0.005521564 0.0031338606 0.00611849 0.004775407 0.010893896 0.009700045 0.015967766 0.011789286 0.007909267 0.010147739 0.00611849 0.005521564 0.0076108044 0.0044769435 0.00716311 0.017609311 0.007461573 0.006864647 0.0059692585 0.0070138783 0.004327712 0.0044769435 0.0041784807 0.019847784 0.004775407 0.01134159 0.013132368 0.009550814 0.010147739 0.003283092 0.011938517 0.010147739 0.0041784807 0.005521564 0.0064169527 0.010147739 0.0067154155 0.004775407 0.02253395 0.013729294 0.011938517 0.034323234 0.008058499 0.0026861662 0.05238024 0.022384718 0.015520072 0.004775407 0.005820027 0.0037307865 0.0053723324 0.0041784807 0.005223101 0.0046261754 0.0034323235 0.019698553 0.0059692585 0.017310848 0.009700045 0.02775705 0.012833905 0.011192359 0.0265632 0.019698553 0.013132368 0.003581555 0.014923146 0.009103119 0.014624683 0.024026265 0.01223698 0.0025369348 0.02566781 0.015967766 0.045515593 0.019549321 0.008953887 0.008506193 0.005223101 0.00611849 0.0034323235 0.001940009 0.005670795 0.0034323235 0.009998508 0.0041784807 6.200718 0.0 9.0 0.0 5.0 524288.0 544768.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1518284200.0 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 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 299008.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -299008.0 0.0 215040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6731906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4498096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4916573 0.0 6.836445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20426.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3108.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -298974.0 0.0 214576.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 294184.0 214576.0 307200.0 0.0 0.0 0.0 0.0 17096.0 524288.0 28.0 5856.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 42280.0 0.0 0.0 1700.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.16098976 0.014404212 0.0059098946 0.0046115182 0.024022125 0.002497803 0.002525546 0.002055763 0.012754732 0.0015400498 0.0012829638 0.00117754 0.0071953246 0.0014374004 0.0010240283 0.013746085 0.00667807 0.0009256945 0.0006300764 0.0006565865 0.0048214407 0.0009996761 0.00074628915 0.0008353753 0.003803886 0.0006605938 0.0005036912 0.000564726 0.0051913485 0.0006195957 0.00053883245 0.0007897533 0.006379986 0.00084462296 0.0006029498 0.0004910527 0.051966198 0.0010493053 0.0030939712 0.0026207974 0.0038223814 0.0020514475 0.0007838964 0.00080917345 0.0035353946 0.0012743326 0.0009451146 0.0006158966 0.0033840404 0.005243752 0.001384072 0.001655646 0.0032712186 0.000681247 0.00053390034 0.00066090206 0.0026617954 0.0035064183 0.0009891953 0.0010647181 0.0027977366 0.0009485054 0.0005379077 0.00044666376 0.00532729 0.0028587712 0.0017897376 0.0045939474 0.024029216 0.012758123 0.0017817229 0.0018489228 0.0025320193 0.0011516465 0.0008507881 0.0015243287 0.0040822416 0.0031173986 0.0014364755 0.0009716247 0.003328246 0.0009423403 0.001045298 0.0037557979 0.0056167427 0.0036787337 0.0019762327 0.0017074331 0.0018649522 0.000799001 0.00059709296 0.00263621 0.0035073431 0.0023264124 0.0023646362 0.003757031 0.0016118735 0.0021744417 0.00096176047 0.0018859137 0.0025264707 0.004088715 0.003211725 0.0010246448 0.0016584203 0.00296512 0.0005727407 0.0019823979 0.004420399 0.002126662 0.0038935887 0.004104436 0.0046204575 0.0032280628 0.0025187642 0.0027807825 0.012898379 0.004180267 0.0020082914 0.0011562704 0.001981473 0.0009913531 0.00043679954 0.0006044911 0.0029025439 0.0011673676 0.0007601607 0.00073642493 0.0029349106 0.0014777819 0.0005764398 0.01478491 0.0069897175 0.01567053 0.0007663258 0.0008378413 0.0031334278 0.04017662 0.0011436319 0.034646187 0.0012789564 0.017170198 0.0008825385 0.0006374746 0.01949877 0.00034709688 0.00041614636 0.00054869667 0.001272483 0.0014164388 0.0003689831 0.00040412435 0.0012453565 0.00036374273 0.0003030162 0.00031411342 0.0013446151 0.00093124306 0.00030424923 0.00031257214 0.0017062001 0.0009475807 0.0003581941 0.0004278601 0.0010360503 0.00046824172 0.0003581941 0.00029870062 0.0020203134 0.00043125093 0.00061774615 0.0004435812 0.0012891289 0.00030363273 0.00028328778 0.0003264437 0.0027937293 0.00035141248 0.0002888364 0.0003837794 0.002226537 0.0007805056 0.0026244964 0.00091583026 0.0031315784 0.000835067 0.00064949656 0.0005240362 0.003305127 0.00081657164 0.0008060909 0.00086527615 0.009701759 0.0031152407 0.0022277702 0.0040403185 0.0036907557 0.0012931363 0.0025344854 0.021428455 0.0018732751 0.0018535467 0.00075029646 0.0008541789 0.0009932027 0.00047163255 0.0006365498 0.0004633096 0.003076092 0.0011226704 0.0018896128 0.0006861791 0.00081410556 0.000575515 0.00058599573 0.0005431481 0.0017780238 0.0009127477 0.0005391407 0.0012681675 0.0008763734 0.00053390034 0.0004916692 0.00048550408 0.0018319688 0.000517871 0.00062237 0.0005049242 0.0009975182 0.0007145387 0.0005113976 0.0006060324 0.016800907 0.005755458 0.0006784727 0.002751498 0.0052002883 0.0007012837 0.00051448017 0.00086126884 0.001996886 0.0010570118 0.00086034404 0.0012623107 0.0020471318 0.0010249531 0.002740709 0.001787888 0.003228371 0.0015341929 0.0016729083 0.0016960276 0.002868019 0.0027749254 0.006238188 0.0608856 0.001257012 3.083557e-07 1.5417785e-07 3.083557e-07 6.167114e-07 3.083557e-07 1.5417785e-07 9.2506707e-07 0.0 0.0 0.0 4.6253354e-07 0.0 1.5417785e-07 3.083557e-07 2.3126677e-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 0.0008791221 1.3876006e-06 1.3876006e-06 1.5417785e-06 1.2334228e-06 1.0638271e-05 1.1871694e-05 1.5417785e-05 2.15849e-06 1.3876006e-06 2.0043121e-06 1.5417785e-06 1.5417785e-06 3.2377347e-06 8.171426e-06 4.6253354e-06 0.0026495464 5.8895937e-05 6.7838255e-06 3.5460905e-06 1.2334228e-06 3.3919127e-06 2.7752012e-06 2.2664144e-05 4.6253354e-07 1.079245e-06 7.7088924e-07 4.6253354e-07 1.2334228e-06 1.8501341e-06 1.5417785e-07 0.0007184688 0.0035077003 0.000117791875 4.3478154e-05 9.404849e-05 4.7640955e-05 2.1122365e-05 4.2398908e-05 9.3123424e-05 3.0527215e-05 5.7045804e-06 7.092181e-06 1.3876006e-06 2.6056057e-05 1.6959564e-06 1.4646896e-05 0.00068192865 0.0024597533 0.00011439996 4.2707263e-05 7.5701326e-05 6.244203e-05 2.3589211e-05 5.874176e-05 5.9204292e-05 5.9975184e-05 1.2488405e-05 1.5263608e-05 1.37218285e-05 2.6826945e-05 5.242047e-06 7.246359e-06 0.00012025872 0.0027195432 5.6274916e-05 0.00028229965 9.065658e-05 8.279351e-05 6.0591894e-05 0.0010980547 0.00060946506 7.138435e-05 5.1187046e-05 4.8566024e-05 3.7002683e-05 4.6870067e-05 3.715686e-05 3.5460904e-05 4.0548774e-05 0.0012468363 4.4249042e-05 0.0002136905 7.44679e-05 0.00045898746 0.00041257992 0.0007382035 0.00035938856 5.5658205e-05 1.0175738e-05 3.3919127e-06 8.325604e-06 8.788137e-06 3.083557e-06 5.5504024e-06 0.00014569807 0.007862762 0.00036740582 0.0007839944 0.0006054564 0.00076718896 0.0005841799 0.0034828775 0.001614088 0.0003055805 0.0002143072 0.00020937352 0.00010376169 9.8519646e-05 8.510617e-05 9.481938e-05 0.00018717191 0.009611139 0.00030326782 0.002328394 0.00341211 0.0034583632 0.0023037253 0.007405933 0.003966996 0.00026487754 0.00020860264 0.00014847326 0.00013814335 0.00015386949 0.00014014766 0.00011270401 0.00046068343 0.008117772 0.00036432224 0.0014796448 0.0011315113 0.0022883075 0.0018775779 0.005160949 0.0026793026 0.0005645993 0.00034443333 0.00021754495 0.00023188349 0.00033148238 0.00016604955 0.00022170774 0.00039916646 0.0078273015 0.0005366931 0.0016509364 0.00091920834 0.0015183435 0.0010912708 0.0028430396 0.001705207 0.0016073041 0.00043000202 0.0002485347 0.00046299607 0.0006914876 0.00033317832 0.00042676428 0.0010736946 0.03965038 0.0034614468 0.010305094 0.0034760938 0.008182218 0.003812664 0.0030988206 0.0042492957 0.023110334 0.0029727032 0.0014175111 0.0030986664 0.0077116676 0.0019950613 0.0052098236 0.019707013 0.13239992 0.015716428 0.04758175 0.013911622 0.039874863 0.020056687 0.0108678425 0.018603716 0.08723244 0.01513379 0.0062463614 0.012298305 0.03426603 0.009068124 0.0234873 0.055092525 0.0361157 0.0075198705 0.015786733 0.0056350464 0.0135998735 0.009325601 0.0040918803 0.008657857 0.029381672 0.009705187 0.0025144867 0.004642295 0.012216899 0.0040567275 0.009591866 0.014717509 0.00070089253 0.00030943495 0.0003959287 0.00034027052 0.0003279363 0.00032978642 0.0002923212 0.00033780368 0.00046515456 0.0003097433 0.00023959238 0.00026564844 0.00036293466 0.00028707916 0.00036570986 0.00035337562 11729.0 15.34939 180033.0 0.046402603 0.0005221265 0.00036659944 0.00039992668 0.011292374 0.0034715857 0.00027772685 0.00083318056 0.0061044362 0.005249038 0.0009998167 0.0010053712 0.0049268743 0.015091677 0.0077596884 0.0018385518 0.012486599 0.019113163 0.017024657 0.01422517 0.003382713 0.004838002 0.0034382585 0.005115729 0.006937617 0.005265701 0.009231641 0.001944088 0.0051212832 0.0013775253 0.0012386618 0.000299945 0.0013608616 0.010264785 0.0039770487 0.019140935 0.011731182 0.020035217 0.0034160404 0.011064638 0.004426966 0.009870413 0.0007498625 0.0030105591 0.009065005 0.003999267 0.013236462 0.0053434647 0.0072708894 0.00064988085 0.007709698 0.018952081 0.0099926125 0.0058600367 0.0019996334 0.0013219799 0.0025995234 0.0018885427 0.0003110541 0.010898002 0.0029272411 0.010859121 0.0107035935 0.044058587 0.0004776902 0.032377396 0.0101592485 0.026434043 0.020374043 0.05688957 0.010081485 0.010714702 0.008209606 0.0435809 0.0010386985 0.0052268193 0.01980748 0.014219616 0.03699877 0.03485472 0.0183633 0.0010386985 0.03518244 0.033982657 0.0495798 0.013553071 0.0066765537 0.0073986435 0.004515839 0.007876334 0.0010831348 0.00021107242 0.0014941705 0.00030549956 0.00038326308 0.0006332172 5.7711315 0.0 3.0 1.0 13.0 3244051.0 3284992.0 0.0 0.0 274.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 30.0 4.0 0.0 4.0 0.0 2851328.0 1024.0 4096.0 9.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 337920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2851328.0 -8192.0 1536.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -1.8050417 0.0 0.0 0.0 0.0 0.0 -2.0184953 0.0 0.0 0.0 0.0 0.0 5.710453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5564547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.183843 -5.484 3.385929 0.0 0.0 0.0 -4.021641 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 -56.0 0.0 0.0 0.0 0.0 0.0 337812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16096.0 0.0 0.0 -42148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2850864.0 -7684.0 1440.0 0.0 0.0 0.0 -28.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 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 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 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 -2.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -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 -2.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 0.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7684.0 3260416.0 1440.0 3276800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3272708.0 0.0 0.0 0.0 0.0 1124.0 3261700.0 0.0 0.0 0.0 0.0


Input: 0.013154974 0.003048972 0.0014365349 0.0023244224 0.0028018712 0.0010972949 0.0006240341 0.00027222963 0.0021610847 0.0003559926 0.00017171408 0.00025547706 0.002115015 0.0014658519 0.0012355038 0.00045650816 0.00248776 0.00023034816 0.00020940742 0.00017171408 0.001239692 0.0002345363 0.00020521927 0.0002345363 0.0012480682 0.0010763542 0.00022616002 0.00016333778 0.0012103749 0.00020940742 0.00016333778 0.0002680415 0.0012606326 0.00021778372 0.00020103113 0.0002931704 0.0011308001 0.00022616002 0.00020521927 0.00023872446 0.0011475526 0.00026385335 0.00027222963 0.0018469734 0.0011684934 0.00023034816 0.00028060595 0.002060569 0.0071617337 0.0025589587 0.0037316403 0.004255159 0.006939762 0.003078289 0.0018679142 0.0022364713 0.00750935 0.0027474253 0.00022197186 0.00019265483 0.001126612 0.00020103113 0.00019684297 0.00018427853 0.0021945897 0.018369218 0.010478747 0.009854713 0.011228425 0.03609765 0.00592623 0.007417211 0.008744854 0.010897562 0.0061398256 0.0062194006 0.006525135 0.009427522 0.005750328 0.006244529 0.011119534 0.009729069 0.0067387307 0.006625651 0.007827649 0.0053650183 0.0018637261 0.0034426579 0.0059136655 0.0107802935 0.0033756476 0.00021778372 0.0013192667 0.0011768697 0.0002512889 0.00019684297 0.0013360194 0.0028060593 0.0024333142 0.006500006 0.0052980077 0.0038195914 0.004770301 0.0099342875 0.010369855 0.0068853158 0.007944917 0.0060602506 0.0037735216 0.004452002 0.003786086 0.005674941 0.0035180447 0.0018427853 0.0013527719 0.0059178537 0.004083445 0.0017715867 0.0018302208 0.010185577 0.008108255 0.0065670167 0.006428808 0.00022197186 0.0014700401 0.00017590223 0.00018009038 0.00022197186 0.0014574756 0.00018846667 0.00024710075 0.0019307364 0.001608249 0.077526815 0.00018846667 0.00016752594 0.0023034816 0.003869849 0.00019684297 0.0022197186 0.0016208134 0.004606963 0.00019265483 0.00018009038 0.0015956846 0.00017590223 0.00020103113 0.00017590223 0.0017087646 0.00020940742 0.00019265483 0.00018009038 0.0015454268 0.0001549615 0.0002345363 0.00022197186 0.0015328623 0.0010889185 0.0002764178 0.00017590223 0.001524486 0.00017171408 0.00018846667 0.00018846667 0.0017045764 0.00020103113 0.00020940742 0.00021359557 0.0016333779 0.0001549615 0.00020521927 0.00018846667 0.0016626948 0.0001465852 0.00025547706 0.00020521927 0.0016962001 0.00018846667 0.00022197186 0.00016333778 0.0016836356 0.001101483 0.00021359557 0.00017171408 0.0027558017 0.001239692 0.00020940742 0.00015914964 0.001779963 0.00018009038 0.00031411112 0.00018009038 0.0019391127 0.00020521927 0.00019265483 0.0012480682 0.0027851188 0.00016333778 0.030221678 0.07131998 0.0027348609 0.00015914964 0.00021359557 0.00018009038 0.0026469098 0.00020103113 0.00020103113 0.00015914964 0.0019139838 0.00019684297 0.00019684297 0.00018009038 0.001947489 0.00015914964 0.00028479408 0.00018427853 0.0018637261 0.00018009038 0.00021359557 0.0012061867 0.001805092 0.00018846667 0.00018846667 0.00018427853 0.0018846667 0.00017171408 0.00020940742 0.00019265483 0.0030280312 0.0012480682 0.0012564445 0.001239692 0.010348914 0.0012773853 0.001298326 0.0012941378 0.0039619883 0.0012815734 0.0013234549 0.0013150786 0.0031578639 0.0013234549 0.0019516771 0.0016040609 0.0024961364 0.0013485837 0.0013527719 0.0013737127 0.002253224 0.0013318312 0.0013779008 0.0013234549 0.0035054802 0.0020982623 0.023462007 0.18896507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009765625 0.0009997138 0.0012417497 0.002982304 0.005659432 0.0036137023 0.0051501044 0.0034390152 0.016990924 0.0009765625 0.0009955044 0.001010237 0.017024599 0.001010237 0.001010237 0.048988078 3.367457e-05 3.367457e-05 3.577923e-05 0.00012207031 0.00022730335 0.00011786099 0.0001704775 0.00014522158 0.00067559606 6.734914e-05 4.8407193e-05 3.367457e-05 0.0006503401 3.367457e-05 0.00029675715 0.0016184839 0.0030791184 0.0011028422 0.0012943662 0.0033211543 0.008163978 0.0046976022 0.0058046537 0.004097774 0.015574488 0.00096182985 0.0009765625 0.0010628536 0.015766012 0.0010796909 0.013450885 0.031635154 0.027114343 0.00725266 0.008351293 0.03768395 0.14680007 0.06721023 0.07431346 0.045887914 0.06514766 0.0076251854 0.006808577 0.010077115 0.08117045 0.008677515 0.016479492 0.15664147 0.00038725755 0.00015574488 8.208176e-05 0.00014732624 0.0006524448 0.00034516433 0.00029465248 0.00026097792 0.0005030139 3.1569907e-05 3.788389e-05 6.734914e-05 0.00039567618 5.0511855e-05 0.00013469828 0.0007639918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1468.0 6.8297005 10026.0 0.0012966287 0.0003989627 0.0 0.0006981847 0.0007979254 0.0 0.00019948135 0.0004987034 0.0004987034 0.000598444 0.000299222 0.0028924795 0.0006981847 0.00019948135 0.0010971475 0.0031917016 0.013165769 0.0064831437 0.008677439 0.016457211 0.012168362 0.0065828846 0.0017953322 0.0044883303 0.014163176 0.005186515 9.9740675e-05 0.0 9.9740675e-05 9.9740675e-05 0.0006981847 0.00019948135 0.000598444 0.09176142 0.02792739 0.02503491 0.027029723 0.034510273 0.01476162 0.017953321 0.021942949 0.029024536 0.0117694 0.013764213 0.010572512 0.01924995 0.013464991 0.009874327 0.028326351 0.022541393 0.024137244 0.02952324 0.020147616 0.013863954 0.0037901455 0.008677439 0.006084181 0.021244764 0.005784959 0.0004987034 0.0010971475 0.001196888 0.0008976661 9.9740675e-05 0.0008976661 0.009974067 0.0034909237 0.016556952 0.010173549 0.008477957 0.022142429 0.02802713 0.024735687 0.015459805 0.019848393 0.011370437 0.0065828846 0.0117694 0.00887692 0.014063435 0.006084181 0.006682625 0.0032914423 0.01625773 0.0062836623 0.0034909237 0.0029922202 0.025832834 0.02493517 0.015559545 0.013564732 0.000299222 0.0009974068 9.9740675e-05 0.0 0.000299222 5.7283397 0.0 0.0 0.0 6.0 238769.0 134217730.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1486813700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1640448.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -48640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1646080.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9308558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -48216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 183992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1645369.0 0.0 7080.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 33732244.0 7080.0 100663300.0 0.0 0.0 7392.0 1914368.0 48216.0 117440510.0 28.0 33631730.0 0.0 0.0 0.0 0.0 24.0 33631852.0 64.0 33631760.0 0.0 0.0 1052.0 33554432.0 0.0 0.0 0.0 0.0


Input: 0.23329881 0.0039478107 0.003183097 0.003002856 0.008184358 0.008154608 0.0027158696 0.00812836 0.002955608 0.0028453635 0.00271062 0.002749118 0.0029486085 0.0027823665 0.0027823665 0.0033405896 0.003107851 0.007526389 0.002605625 0.0028226145 0.002875112 0.002477881 0.0027018704 0.00270887 0.0029101104 0.0028821116 0.0024726314 0.002642373 0.002582876 0.0025076296 0.002624874 0.0027771166 0.002974857 0.0026546225 0.0025531275 0.0026808714 0.00271062 0.0028908611 0.003253094 0.002897861 0.002663372 0.0028436135 0.0027771166 0.0025898756 0.002731619 0.002565377 0.002647623 0.002558377 0.0027403685 0.002787616 0.002642373 0.002540878 0.002857613 0.0025986254 0.002750868 0.0026791214 0.0030361044 0.0030763524 0.002624874 0.003107851 0.0027998656 0.0026126246 0.0025916256 0.0027963659 0.004318793 0.0028891114 0.002768367 0.003253094 0.002745618 0.0032583436 0.0027613675 0.0028681124 0.004504284 0.003293342 0.003183097 0.0030081056 0.002899611 0.002754368 0.0027193695 0.002754368 0.003149849 0.002829614 0.0026371235 0.0033668384 0.003060603 0.002600375 0.0026773715 0.0028051154 0.0026773715 0.002540878 0.0028208646 0.002628374 0.0027368686 0.00249713 0.0029241096 0.0029311094 0.002995856 0.003083352 0.002899611 0.002792866 0.002787616 0.003251344 0.0037448201 0.0027158696 0.004121052 0.003226845 0.002980107 0.0027421184 0.0030693526 0.0028803616 0.002960858 0.0029731074 0.0029643576 0.002857613 0.0034945824 0.0036608244 0.003267093 0.0029503584 0.0030781024 0.00270712 0.003041354 0.0028856115 0.0029311094 0.002773617 0.0029696075 0.0026318736 0.0026528726 0.0032635934 0.002829614 0.002605625 0.002516379 0.002768367 0.00291711 0.00375357 0.00271062 0.0026546225 0.0026371235 0.0027368686 0.0024918804 0.0032145956 0.0072919 0.0032390945 0.0027158696 0.002437633 0.0029101104 0.0025496276 0.0028051154 0.0025706266 0.0026388734 0.002518129 0.0025986254 0.0025478776 0.002546128 0.002565377 0.0028016155 0.0025146294 0.00271062 0.0027806165 0.0025303785 0.002644123 0.002626624 0.002537378 0.002623124 0.0029941064 0.002647623 0.0029048605 0.002581126 0.002584626 0.0027438684 0.002561877 0.002955608 0.002768367 0.002855863 0.002687871 0.002479631 0.002647623 0.002997606 0.0027211194 0.00270887 0.002649373 0.0025986254 0.0026546225 0.0024953801 0.0024743811 0.0026738716 0.0026388734 0.0026336235 0.002792866 0.0027351186 0.002397385 0.0024218836 0.002983607 0.003022105 0.0025741265 0.002959108 0.002752618 0.0027648674 0.002626624 0.0028471134 0.003566329 0.0027561176 0.0027403685 0.002600375 0.002750868 0.0026528726 0.0025268786 0.002665122 0.0026196244 0.0027421184 0.002773617 0.002749118 0.00271237 0.0027963659 0.002687871 0.0027176195 0.002565377 0.0028628625 0.0026948706 0.0026528726 0.0026791214 0.0027858664 0.0028016155 0.002584626 0.002726369 0.0028401136 0.0025706266 0.0028471134 0.0027438684 0.002773617 0.018617356 0.0026196244 0.0026931206 0.00375357 0.002561877 0.0025321285 0.0026948706 0.002852363 0.0026948706 0.0027806165 0.002752618 0.002936359 0.002563627 0.0025076296 0.002516379 0.00270712 0.002607375 0.002663372 0.0035260806 0.0030501036 0.002602125 0.002626624 0.002810365 0.0032443444 0.0030728525 0.003086852 0.009251806 0.014362657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009432507 0.0027157904 1.753254e-05 7.889643e-06 2.629881e-05 1.2272778e-05 3.155857e-05 4.120147e-05 0.0001428902 4.383135e-06 8.76627e-06 8.76627e-06 1.6655913e-05 1.7532541e-06 1.8409168e-05 8.064968e-05 0.015895002 6.837691e-05 7.0130163e-06 2.4545556e-05 4.733786e-05 1.5779286e-05 9.818222e-05 3.857159e-05 1.2272778e-05 1.4026033e-05 2.629881e-06 8.76627e-06 1.7532541e-06 8.7662704e-07 0.01428113 4.383135e-06 0.0019469886 0.00035591057 6.136389e-06 5.259762e-06 1.7532541e-06 6.136389e-06 1.7532541e-06 7.0130163e-06 5.259762e-06 1.7532541e-06 6.136389e-06 1.7532541e-06 7.0130163e-06 2.629881e-06 0.0012272778 7.889643e-06 0.0011694204 3.5065082e-06 0.0 2.1039048e-05 7.714318e-05 0.00012711092 0.00024194906 0.00013149406 1.7532541e-06 2.629881e-06 1.0519524e-05 2.629881e-06 1.7532541e-06 2.629881e-06 0.0 1.7532541e-06 0.0074495766 0.00063117145 2.8052065e-05 0.0001753254 0.00069604185 0.0002884103 0.0010282835 0.0008082501 0.002101275 1.4026033e-05 1.2272778e-05 2.4545556e-05 2.7175438e-05 2.2792303e-05 0.00032873513 0.0007267238 0.0033040072 0.00059172325 8.678607e-05 7.100679e-05 0.00031558573 0.00010607187 0.00038220937 0.00018058516 3.857159e-05 5.9610637e-05 3.857159e-05 3.5941706e-05 3.24352e-05 3.9448216e-05 3.24352e-05 7.100679e-05 0.0052957037 0.000796854 0.00027701413 0.00026211148 0.0006153922 0.00030857272 0.0007924708 0.00058208033 0.00082928914 9.292246e-05 8.240294e-05 9.555234e-05 8.152631e-05 6.136389e-05 0.00015691624 0.00044182 0.007603863 0.00019285794 0.00024808545 0.00031646236 0.0007784448 0.00029454668 0.0005680543 0.0010677318 0.0021135476 0.0003567872 0.00029454668 0.0002927934 0.00034626768 0.00026386473 0.00043217713 0.0009879586 0.008413866 0.00059172325 0.0005329892 0.0004952943 0.0010309133 0.00043217713 0.00056279456 0.0008818868 0.0009984781 0.00044883305 0.0003602937 0.0004575993 0.0005443854 0.00043656025 0.00031909224 0.0014464345 0.008718056 0.0010484459 0.0014210125 0.000862601 0.0020723462 0.0009993548 0.0011851997 0.0017795529 0.0010633486 0.00063380133 0.00083542557 0.0006802626 0.0008862699 0.0007915942 0.0013386095 0.0026141019 0.006063629 0.000714451 0.0010940306 0.00050493714 0.0017322149 0.00097217935 0.0010256536 0.0015077984 0.001925073 0.00066974305 0.0007205874 0.0006224052 0.0012062388 0.0009379909 0.0011992258 0.0042384914 0.19672738 0.038545292 0.03827529 0.038781103 0.040033802 0.038895063 0.04066322 0.0389538 0.037712496 0.038320873 0.0390774 0.038273536 0.03858386 0.038616296 0.038923994 0.038790744 0.0070340554 0.0019803005 0.002011859 0.0027298166 0.0025650107 0.0024378998 0.0026342643 0.0021714051 0.002594816 0.0016349094 0.0017751697 0.0020995217 0.0027043943 0.002380919 0.0021302036 0.0024080945 1300.0 7.5946155 9873.0 0.017319964 0.012356933 0.008102907 0.010027347 0.007596475 0.010635065 0.030284615 0.024106149 0.013673656 0.018130254 0.009622202 0.008508053 0.0116479285 0.011850501 0.0069887573 0.0073939026 0.012255646 0.010938925 0.010432493 0.012053074 0.011040211 0.008811912 0.01326851 0.007799048 0.008204193 0.008609339 0.007292616 0.016712245 0.0067861844 0.0057733213 0.0046591717 0.010432493 0.020054694 0.007799048 0.008508053 0.018940546 0.009318343 0.0064823255 0.006887471 0.0076977615 0.016104527 0.009318343 0.0042540263 0.010027347 0.009926061 0.0064823255 0.010432493 0.01022992 0.006381039 0.0066848984 0.008406766 0.0185354 0.00911577 0.0059758937 0.010027347 0.008406766 0.009926061 0.004861744 0.00911577 0.01022992 0.009723488 0.0033424492 0.0076977615 0.02653702 0.0061784666 0.02238428 0.014483946 0.01022992 0.011445356 0.013977515 0.00830548 0.0046591717 0.011749215 0.013572369 0.0064823255 0.00607718 0.011040211 0.009014484 0.009622202 0.012660792 0.008001621 0.0049630306 0.016813532 0.013774942 0.01661096 0.007900334 0.013977515 0.005368176 0.0057733213 0.007495189 0.008001621 0.00607718 0.008406766 0.006279753 0.0067861844 0.011141497 6.4507003 2.0 0.0 0.0 2.0 571456.0 569344.0 0.0 0.0 64.0 0.0 1.0 1.0 0.0 0.0 1100814500.0 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 9.0 2.0 6.0 0.0 4.0 0.0 4.0 0.0 544768.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -544768.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9779377 0.0 5.332518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -543568.0 0.0 13236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 546196.0 13236.0 552960.0 0.0 0.0 2112.0 569344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 364.0 4096.0 0.0 0.0 0.0 0.0