Input: 0.19668858 0.020216357 0.025020033 0.012316079 0.021337356 0.005581556 0.013769543 0.0079620825 0.009251445 0.005187288 0.0101081785 0.0045990827 0.003669889 0.0032500469 0.004027927 0.0026639728 0.0032074233 0.01043638 0.004511704 0.0066428827 0.0027684006 0.0027811876 0.0049549895 0.0057179513 0.0034482465 0.0025680698 0.002484954 0.0023975756 0.0025765945 0.0030944708 0.0031861116 0.0036975944 0.00792372 0.0020821611 0.001901011 0.0020224883 0.002197245 0.003740218 0.002463642 0.0020501935 0.0070222323 0.0021780643 0.0052405675 0.0032351287 0.003420541 0.0034610336 0.0033757864 0.0023336401 0.0050892537 0.0028749595 0.0025531517 0.0027684006 0.0020501935 0.0021823265 0.0021247847 0.0020416689 0.0025979064 0.0019457658 0.0022270812 0.0018818304 0.0022633113 0.0018626498 0.0022206877 0.0021951136 0.0020438 0.0026788912 0.0025382333 0.0029452883 0.0022910167 0.003047585 0.0025211838 0.0019223228 0.0017944521 0.002440199 0.0019265852 0.0018839616 0.002175933 0.0020864236 0.0019478969 0.0023826573 0.0026490546 0.0021418342 0.0026618417 0.0032948016 0.0027449576 0.0022654426 0.002472167 0.0020608495 0.0050551547 0.002998568 0.0029303702 0.0017944521 0.0018583875 0.0017305168 0.0019201917 0.004935809 0.0021567524 0.0072886297 0.0028046307 0.004982695 0.004577771 0.013498884 0.003394967 0.0045095733 0.003429066 0.008435204 0.0023741326 0.0025552828 0.0051340084 0.004100387 0.006922067 0.010602612 0.0057818866 0.0019862582 0.009869487 0.007821424 0.010351133 0.0044499002 0.002484954 0.0021418342 0.0030625032 0.0036208718 0.002879222 0.010306378 0.00218872 0.006071727 0.00264053 0.0019329787 0.0046800673 0.0028195488 0.0017795339 0.0020438 0.0018072391 0.0017134673 0.0029815184 0.0017752715 0.00218872 0.0017006802 0.0018605186 0.0021269158 0.002163146 0.0022249501 0.002139703 0.0019819958 0.0017965833 0.0024465928 0.0017539597 0.0018157639 0.0021418342 0.0016793684 0.0017433038 0.0019052734 0.0016751061 0.0017262544 0.0016900244 0.0016047773 0.002212163 0.0017987145 0.0020395375 0.0018882239 0.0018242886 0.0018306822 0.0019521593 0.0022079006 0.0016836309 0.0018029768 0.0015110055 0.0017560909 0.0015962526 0.001649532 0.0016282202 0.0016559255 0.0017901898 0.0017795339 0.0017859275 0.0020097012 0.0015323171 0.0015877278 0.0017177297 0.0019670776 0.0018200262 0.0015046119 0.0017390415 0.0018349445 0.0021674084 0.0020288818 0.001841338 0.0018178951 0.0015578914 0.0017113362 0.0017965833 0.0021588835 0.001841338 0.0017411726 0.0015685472 0.0016601878 0.0015344484 0.0017347791 0.0023016725 0.0019393723 0.0015493666 0.0017390415 0.0016474008 0.0018072391 0.001626089 0.0016921556 0.0019180605 0.0018242886 0.0020608495 0.001636745 0.0019436346 0.0017369103 0.0013810035 0.0016133019 0.0017134673 0.0018562563 0.0016537943 0.001626089 0.0015642849 0.0018541251 0.0020118323 0.0018498627 0.0021226536 0.0018583875 0.001828551 0.0017944521 0.0015110055 0.0017624844 0.0016303514 0.0016985491 0.0016069084 0.0018562563 0.0017539597 0.0016303514 0.0016708438 0.002056587 0.0017901898 0.0016474008 0.0016985491 0.0020288818 0.0019713398 0.0018498627 0.0018072391 0.0021695395 0.0016878932 0.0019351098 0.0018200262 0.0022633113 0.0021503589 0.0018882239 0.0019862582 0.00215249 0.002414625 0.0024231498 0.0030539786 0.01255264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007985589 7.479144e-05 5.7696252e-05 5.6627803e-05 5.128556e-05 0.00020086844 5.6627803e-05 4.8080212e-05 4.8080212e-05 2.3505881e-05 2.564278e-05 2.243743e-05 3.0985026e-05 2.3505881e-05 2.457433e-05 2.243743e-05 0.0019830416 2.1368982e-05 1.49582875e-05 1.49582875e-05 1.282139e-05 6.731229e-05 1.49582875e-05 8.547593e-06 1.1752941e-05 4.2737965e-06 5.3422455e-06 4.2737965e-06 1.0684491e-05 4.2737965e-06 5.3422455e-06 4.2737965e-06 0.0018217057 6.624385e-05 6.5175394e-05 1.7095186e-05 1.49582875e-05 4.7011763e-05 1.3889839e-05 5.983315e-05 2.243743e-05 1.282139e-05 7.4791437e-06 5.3422455e-06 1.1752941e-05 4.2737965e-06 5.3422455e-06 1.282139e-05 0.0017330245 6.731229e-05 7.799679e-05 4.0601066e-05 2.3505881e-05 6.09016e-05 2.1368982e-05 8.868128e-05 2.9916575e-05 1.0684491e-06 4.2737965e-06 5.3422455e-06 8.547593e-06 1.3889839e-05 9.616042e-06 2.1368983e-06 0.007807158 0.000104708015 0.00013996684 0.00014317218 0.00013676149 0.00014210373 0.00075111975 0.00023719571 0.00020834758 8.7612825e-05 0.00016026737 0.000115392504 9.829732e-05 9.295507e-05 0.00014210373 0.00057375716 0.022595562 0.00126077 0.0010128898 0.0009049764 0.0040312586 0.0037000393 0.022835962 0.012740187 0.0003996 0.00027352298 0.00051819783 0.0003654096 0.00015706202 0.00020621068 0.00023719571 0.00097122026 0.078822695 0.007224853 0.010322287 0.004315466 0.005254633 0.0053016446 0.023774061 0.016910344 0.0026839443 0.0010481486 0.00078424165 0.0009498513 0.0005395668 0.0008291165 0.0005545251 0.0026102213 0.11096272 0.019180799 0.013523361 0.0049971365 0.0025792362 0.0061446507 0.008937577 0.016804568 0.0036167002 0.0030290533 0.0023473827 0.002548251 0.002333493 0.002300371 0.0019509881 0.006621179 0.0540475 0.010862922 0.0054469537 0.0033538619 0.0019178662 0.0033367665 0.0042342637 0.0050323955 0.0044265846 0.003080339 0.0017661464 0.0017650779 0.0019712886 0.002702108 0.0021849785 0.0054683224 0.021471554 0.0025161977 0.0016806704 0.0019467144 0.0012682491 0.0021497197 0.0022351956 0.0023302876 0.002238401 0.001187047 0.00097122026 0.0011464459 0.0010876812 0.0008675807 0.00086330686 0.001991589 0.008671533 0.0013622727 0.0008066791 0.0007073133 0.0005983315 0.00086010154 0.001072723 0.0006773967 0.00096908334 0.0006154267 0.0008216374 0.0006079475 0.00071479246 0.00059085235 0.0007158609 0.0020898865 0.002069586 0.00042951654 0.00019125239 0.00018163635 0.00018804705 0.000252154 0.00026924917 0.00042951654 0.00025749623 0.00021582672 0.00030557645 0.00027352298 0.0002959604 0.00021903207 0.00017308876 0.0008130898 0.0032171004 0.00086010154 0.0010299849 0.0012767967 0.00068914966 0.0007938577 0.0019360298 0.0012458117 0.00075111975 0.00044874864 0.00051178713 0.00045943313 0.00049896573 0.00048187055 0.0004765283 0.00064000103 0.022462007 0.020483239 0.020225743 0.020880701 0.019846443 0.020484306 0.020567646 0.020965109 0.020326177 0.019885976 0.020244975 0.020539867 0.02037746 0.02015202 0.020609315 0.022364777 3244.0 12.99476 42155.0 0.005432333 0.0018503143 0.0009963231 0.0016605385 0.0040564584 0.0013758747 0.0012098209 0.0015893725 0.0016605385 0.0013047088 0.0012335429 0.0013521528 0.0018977582 0.004151346 0.007496145 0.003155023 0.010864666 0.0062151584 0.0050053373 0.0041039023 0.0029178034 0.003463409 0.0036769067 0.0025619736 0.0021112561 0.0029889692 0.002182422 0.0012572649 0.0038429606 0.0018740363 0.002134978 0.0015893725 0.001091211 0.010508836 0.007970585 0.012786146 0.007757087 0.013165698 0.00899063 0.0037717945 0.0026331395 0.007970585 0.0015893725 0.0027043056 0.0060253823 0.005384889 0.0046969517 0.006760764 0.006547266 0.0014233188 0.008065472 0.01617839 0.010366505 0.0046257856 0.0031075792 0.0049816156 0.002182422 0.0011860989 0.0053611672 0.00075910334 0.0011149329 0.0014470407 0.0012809868 0.023769422 0.0019452022 0.04545131 0.008373858 0.027137943 0.026829557 0.101506345 0.011955877 0.019143637 0.010461393 0.051476695 0.0015656506 0.006926818 0.02913059 0.019523188 0.043743327 0.04281817 0.019689241 0.0016130946 0.056671806 0.040161308 0.07662199 0.018408256 0.007757087 0.0037243506 0.008658522 0.015253232 0.0037717945 0.0015182067 0.00090143515 0.0014470407 0.0013521528 0.0010437671 5.4897203 1.0 21.0 0.0 2.0 469224.0 491520.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1312682500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 459776.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -459776.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.823023 0.0 3.3861108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -459604.0 0.0 1104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 467708.0 1104.0 475136.0 0.0 0.0 6888.0 462336.0 12.0 483328.0 28.0 467612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.022317102 0.003147062 0.003112455 0.0032854893 0.003019449 0.002956724 0.0030951516 0.003045404 0.0031059661 0.0031319214 0.0030605446 0.0029372578 0.0028896732 0.0031384102 0.0031038034 0.0032811635 0.002991331 0.0030951516 0.0028896732 0.0028788587 0.0029978198 0.0033482143 0.003142736 0.0029048137 0.0032314162 0.0031535507 0.003047567 0.003847851 0.003082174 0.003118944 0.0032270902 0.0035601812 0.0032573713 0.0030151233 0.0031838317 0.0033957986 0.0032162757 0.0030345896 0.0032487195 0.0031665282 0.0032206015 0.0030151233 0.003144899 0.0030735224 0.0031989722 0.003149225 0.0030281008 0.0030691964 0.0031232696 0.0030735224 0.0031622024 0.003144899 0.0030562188 0.0029545613 0.0029545613 0.0031232696 0.0030432413 0.0030064716 0.003847851 0.003116781 0.0031557137 0.0029242802 0.0032184385 0.002958887 0.00317518 0.0029718645 0.0029740275 0.0028896732 0.0032141127 0.0029177915 0.0031859947 0.0032184385 0.0029502353 0.0030021456 0.0031535507 0.0029350948 0.0029242802 0.0030281008 0.003019449 0.0028637182 0.0029523983 0.0029761905 0.0030302638 0.002926443 0.0031297584 0.0028529034 0.0029545613 0.0030151233 0.0029069767 0.002839926 0.0030107973 0.0029437465 0.002898325 0.002956724 0.0029783533 0.0029069767 0.0030281008 0.0030129603 0.0029805163 0.0030864999 0.003144899 0.0030324266 0.0031102921 0.002956724 0.003118944 0.002926443 0.0030324266 0.002928606 0.0031859947 0.002991331 0.003021612 0.0030107973 0.0030064716 0.0028572294 0.0031513877 0.0030107973 0.0031016404 0.0029761905 0.0028853475 0.0028810217 0.002987005 0.003019449 0.003235742 0.0029415835 0.0031059661 0.0033763323 0.0030864999 0.0027836899 0.0031340844 0.0029783533 0.0030281008 0.002900488 0.0030367526 0.003021612 0.0028658812 0.0027901786 0.003051893 0.003017286 0.0029999828 0.0033179333 0.003205461 0.0029761905 0.0030302638 0.0031859947 0.0030864999 0.0030627076 0.002928606 0.0029934938 0.0028788587 0.0027598976 0.0030043086 0.0028810217 0.0036964458 0.0030562188 0.0030064716 0.002991331 0.002714476 0.0027598976 0.0029999828 0.0029826793 0.003021612 0.0031038034 0.0031319214 0.00326386 0.002900488 0.0028334372 0.0029091397 0.0029978198 0.0029934938 0.002779364 0.003077848 0.0030237748 0.002932932 0.0028745327 0.0029697018 0.002837763 0.003116781 0.0030237748 0.0030367526 0.0028658812 0.0030864999 0.0029048137 0.0030908256 0.0029761905 0.19105369 0.0029221172 0.0029415835 0.0031340844 0.002807482 0.002958887 0.0033417256 0.0029113025 0.0031708542 0.0031405732 0.0031319214 0.0029523983 0.0029199542 0.0029437465 0.0032141127 0.0029761905 0.0029697018 0.0029848423 0.003142736 0.0029761905 0.0029978198 0.002958887 0.002930769 0.0030562188 0.003047567 0.0031903205 0.0030302638 0.0029221172 0.0029091397 0.002926443 0.0030756851 0.0029394208 0.002868044 0.0028572294 0.0031254326 0.0044686114 0.002898325 0.002868044 0.0030259378 0.0030713594 0.003324422 0.0030086343 0.0030345896 0.0030432413 0.0032270902 0.0030281008 0.0029697018 0.002932932 0.003147062 0.0030713594 0.0030540559 0.0030086343 0.003173017 0.0032422307 0.0031038034 0.003237905 0.003384984 0.0031838317 0.0034390574 0.0032443937 0.0034455461 0.0034931304 0.0035234115 0.0033763323 0.003205461 0.0032703488 0.0034412201 0.0035515297 0.0032011352 0.003452035 0.0032465565 0.009971104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00074761285 1.3020834e-05 2.6041667e-05 2.170139e-06 0.0 4.340278e-06 4.340278e-06 1.953125e-05 1.1935764e-05 1.1935764e-05 1.0850695e-05 8.680556e-06 1.4105903e-05 7.5954863e-06 4.340278e-06 0.0013357205 0.0007237413 2.170139e-06 2.8211805e-05 8.680556e-06 4.340278e-06 4.340278e-06 1.0850695e-06 4.340278e-06 4.340278e-06 0.0 5.4253474e-06 1.1935764e-05 1.6276043e-05 1.5190973e-05 0.00022786458 0.0011642795 0.004943576 0.000116102434 0.00021592881 7.378472e-05 6.618923e-05 7.921007e-05 2.3871527e-05 0.00011827257 8.138021e-05 0.00011067709 7.052952e-05 6.7274304e-05 0.00015407985 7.8125e-05 0.0003081597 0.00460395 0.0014366319 8.029514e-05 9.765625e-05 6.7274304e-05 6.076389e-05 5.967882e-05 8.680556e-06 4.1232637e-05 5.859375e-05 0.0001171875 2.2786458e-05 2.7126736e-05 1.6276043e-05 1.6276043e-05 5.31684e-05 5.859375e-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 0.0020985242 0.00024088542 0.00036024305 0.00014648438 4.4487846e-05 9.765625e-06 5.4253474e-06 9.548611e-05 8.138021e-05 9.9826386e-05 4.4487846e-05 0.0001171875 0.0003049045 0.0001312934 0.0008029514 0.0020833334 0.004255642 0.00056423614 0.0005436198 0.00046766494 0.00040581598 0.00019097222 0.00021701389 0.00025824652 0.00037000867 0.00061197917 0.0002484809 0.0002560764 0.00033420138 0.00047526043 0.00048394097 0.0014279514 0.0044151475 0.0012445747 0.001000434 0.0009190538 0.0005848524 0.00033203125 0.0003841146 0.00046223958 0.00042751737 0.0006597222 0.00045355904 0.0006076389 0.0005533854 0.0010340712 0.00049804687 0.0019791666 0.0009450955 0.00053819444 0.00023111979 0.00029622397 0.00034179687 0.00026041668 0.00018012153 0.00024414062 0.00033094618 1.5190973e-05 2.3871527e-05 4.6657988e-05 0.00018446181 0.00052300346 0.00011827257 0.00016493055 0.042630207 0.043506943 0.043490667 0.04358941 0.042727865 0.04215929 0.043413628 0.042938367 0.04285807 0.042118054 0.042719185 0.2157194 0.042819012 0.042916667 0.043042533 0.043350693 0.00444987 0.0043229167 0.004436849 0.004309896 0.004301215 0.0043142363 0.004248047 0.004263238 0.0044672308 0.004200304 0.004189453 0.020060765 0.0042078993 0.0041644964 0.004171007 0.0043370225 126.0 14.015873 1766.0 0.033975083 0.0028312572 0.020385051 0.0005662514 0.00396376 0.0005662514 0.0022650056 0.008493771 0.0062287655 0.0022650056 0.0005662514 0.0073612686 0.0022650056 0.011891279 0.006795017 0.00396376 0.0033975085 0.00396376 0.0056625144 0.010758777 0.0005662514 0.0011325028 0.0005662514 0.0005662514 0.015288788 0.0033975085 0.18686296 0.0033975085 0.009626274 0.0062287655 0.012457531 0.016987542 0.0605889 0.010758777 0.0011325028 0.0028312572 0.0028312572 0.00396376 0.005096263 0.009626274 0.0056625144 0.010192526 0.04869762 0.0022650056 0.00396376 0.0033975085 0.011891279 0.0005662514 0.004530011 0.0033975085 0.0033975085 0.00396376 0.015288788 0.0028312572 0.004530011 0.0028312572 0.0028312572 0.0011325028 0.0130237825 0.02774632 0.0011325028 0.0011325028 0.014156286 0.0033975085 0.0011325028 0.018686296 0.0028312572 0.014722537 0.010192526 0.04303511 0.0033975085 0.0022650056 0.0033975085 0.014722537 0.0016987543 0.0011325028 0.017553793 0.010192526 0.013590034 0.016421292 0.01585504 0.0016987543 0.022083806 0.026047565 0.017553793 0.010192526 0.0056625144 0.0005662514 0.0033975085 0.0033975085 0.020951303 0.011325029 0.0005662514 0.0 0.0011325028 0.0005662514 5.3995237 0.0 0.0 0.0 6.0 462336.0 479232.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 989559600.0 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 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -436736.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.055794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8005495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1032014 0.0 5.346067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -436699.0 0.0 23336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 442444.0 23336.0 450560.0 0.0 0.0 0.0 0.0 48.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 442368.0 0.0 0.0 0.0 0.0


Input: 0.008238729 0.003967285 0.003862508 0.003790283 0.0039113364 0.0038513183 0.0038330078 0.0038075766 0.0038106283 0.0038279216 0.003801473 0.0038594564 0.0038106283 0.0038024902 0.00390625 0.0038441976 0.0039967853 0.00391744 0.003853353 0.0039225263 0.0037821452 0.0038157145 0.0039967853 0.004015096 0.0037719726 0.004115804 0.0037038168 0.003869629 0.0039489744 0.0039815265 0.0038421631 0.004144287 0.0038787841 0.0039693196 0.0038787841 0.004058838 0.003937785 0.0039204913 0.004289754 0.0039255777 0.0038421631 0.0039001466 0.0037780763 0.0037719726 0.0040323893 0.003790283 0.0039326986 0.003741455 0.0038421631 0.0038818358 0.003873698 0.004054769 0.003926595 0.0038635253 0.0038543702 0.004240926 0.0038614909 0.0038309733 0.003846232 0.003857422 0.003825887 0.003841146 0.003869629 0.0038635253 0.0039367676 0.0038798014 0.0037526449 0.0038787841 0.0038146973 0.0040374757 0.003978475 0.0039031983 0.0038523355 0.0037913003 0.0038787841 0.0038482666 0.0039611817 0.0039001466 0.0038197835 0.0038421631 0.0037078857 0.0039296467 0.003953044 0.003797404 0.003942871 0.003869629 0.00394694 0.0039204913 0.0042582196 0.003829956 0.0038228354 0.003825887 0.0039957683 0.0039194743 0.0037750243 0.003909302 0.0039286297 0.003982544 0.004151408 0.003866577 0.003921509 0.0040161135 0.0038309733 0.0039337156 0.0038523355 0.003945923 0.0038889567 0.0037953695 0.0038360595 0.0039255777 0.0038360595 0.0039113364 0.003764852 0.003951009 0.003934733 0.0040334067 0.0038208007 0.0039225263 0.0038157145 0.0038594564 0.0038085938 0.0038798014 0.0038930257 0.0037261962 0.003889974 0.0037984212 0.0037943523 0.003990682 0.003934733 0.0039876304 0.003869629 0.0037780763 0.0038564047 0.0038350422 0.003941854 0.0037760416 0.0039225263 0.003927612 0.0038686118 0.0038157145 0.0037333171 0.004116821 0.0039052328 0.0038950602 0.0038706462 0.0039001466 0.0038126628 0.0038431804 0.003869629 0.0038492838 0.0039042155 0.003877767 0.0038747152 0.0039652507 0.003745524 0.0039204913 0.003954061 0.0038635253 0.003781128 0.003902181 0.0038706462 0.004227702 0.0038075766 0.0038553874 0.0038970946 0.004003906 0.003768921 0.004026286 0.0038594564 0.0038848878 0.0038706462 0.003729248 0.0037831625 0.0038838706 0.0038126628 0.0038441976 0.0042195637 0.0038848878 0.0037719726 0.0038085938 0.003853353 0.0039438885 0.003914388 0.0037882486 0.004002889 0.0037282307 0.003821818 0.0042266846 0.0038330078 0.003934733 0.0038350422 0.004227702 0.0038767497 0.0038391114 0.0038360595 0.0038513183 0.0037567138 0.003926595 0.003894043 0.0038370767 0.003809611 0.0040690103 0.0039154054 0.003681437 0.0038747152 0.003885905 0.0038350422 0.0038726807 0.004012044 0.0038747152 0.0038920084 0.00391744 0.0037872314 0.0040893555 0.0039042155 0.0039154054 0.0039886474 0.0037679037 0.0039072675 0.0037618002 0.0038391114 0.0037495932 0.003913371 0.003927612 0.003941854 0.0038126628 0.0038879395 0.003790283 0.0038787841 0.0038431804 0.0040679933 0.0037790935 0.0039072675 0.0040089926 0.0038269043 0.0038798014 0.0039194743 0.003825887 0.0037445067 0.003986613 0.0039255777 0.0039916993 0.0039204913 0.0038401287 0.003945923 0.003954061 0.0038146973 0.0038655598 0.0038686118 0.0039154054 0.0038197835 0.0038614909 0.0038848878 0.003873698 0.0038492838 0.0039662677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000958742 5.091567e-06 4.0732534e-06 3.5640967e-06 2.0366267e-06 5.091567e-06 3.6150122e-05 1.680217e-05 3.05494e-06 2.5457834e-06 1.0183134e-06 0.0 1.52747e-06 0.0 1.52747e-06 1.52747e-06 0.00093582994 5.091567e-06 3.5640967e-06 5.8553018e-05 2.5457834e-06 3.05494e-06 3.5640967e-06 3.5640967e-06 3.5640967e-06 3.5640967e-06 3.05494e-06 2.0366267e-06 4.0732534e-06 4.0732534e-06 3.5640967e-06 3.05494e-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 0.0008014126 5.091567e-06 6.10988e-06 9.673977e-06 2.443952e-05 1.3238074e-05 0.000120670134 5.0915667e-05 3.05494e-06 2.5457834e-06 1.0183134e-06 0.0 1.52747e-06 0.0 1.52747e-06 1.52747e-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 0.00051832147 1.985711e-05 2.6476147e-05 3.0040244e-05 4.8369882e-05 3.1567713e-05 0.00011099615 7.2300245e-05 1.4765544e-05 1.680217e-05 2.2402894e-05 1.832964e-05 1.9347954e-05 1.6293014e-05 1.7820483e-05 5.9062175e-05 1.1710604e-05 0.00011659688 0.00011761519 0.00012321591 1.52747e-05 1.1201447e-05 0.00012678001 1.374723e-05 0.000112014466 2.0366267e-06 0.000120670134 0.00023166629 1.1201447e-05 1.069229e-05 5.6007234e-06 1.2728917e-05 7.99376e-05 0.00014663712 0.00014663712 7.942844e-05 8.146507e-05 0.00014867375 1.7820483e-05 8.146507e-05 1.6293014e-05 1.6293014e-05 1.6293014e-05 0.00014663712 1.6293014e-05 1.6293014e-05 1.6293014e-05 1.6293014e-05 0.00047911642 0.00045162198 0.0004007063 0.0002749446 0.0002219923 0.00036455618 0.0002642523 0.00017871399 0.00021180918 0.00011506941 0.00018533303 0.0005193398 9.8267235e-05 0.00012372507 0.00011456025 0.0001670034 0.061556533 0.061944 0.061996445 0.06174034 0.061698586 0.06188494 0.06198881 0.061516818 0.061856937 0.061833516 0.06183657 0.061899703 0.061666 0.062099293 0.061997462 0.062056523 4525.0 5.671823 25665.0 0.009974673 0.009857783 0.010831872 0.009896747 0.009974673 0.010637054 0.010286382 0.010442236 0.009818819 0.010559128 0.009429184 0.010091565 0.009546074 0.0105980905 0.010013637 0.009974673 0.009312293 0.011221508 0.010987726 0.010948763 0.010987726 0.009585038 0.010559128 0.010559128 0.009857783 0.010753945 0.010637054 0.010013637 0.00939022 0.010831872 0.010870836 0.009662965 0.010870836 0.010208455 0.010247419 0.010676018 0.010520164 0.0105980905 0.010520164 0.009701929 0.0094681475 0.010052601 0.009585038 0.00829924 0.010792908 0.010286382 0.011143581 0.0094681475 0.008494058 0.009974673 0.009974673 0.010052601 0.010247419 0.009662965 0.010325346 0.010442236 0.009546074 0.00993571 0.009857783 0.009896747 0.011377363 0.0109097995 0.008961621 0.0110656535 0.010442236 0.012195597 0.010052601 0.009624002 0.01200078 0.012857978 0.009974673 0.010364309 0.011299435 0.012429379 0.010520164 0.01102669 0.011221508 0.011455289 0.01102669 0.012546269 0.009974673 0.010753945 0.012195597 0.01157218 0.011182545 0.010325346 0.011455289 0.010870836 0.009078512 0.010403273 0.010013637 0.009857783 0.010792908 0.010325346 0.009779856 0.011104617 6.58062 0.0 0.0 0.0 21.0 983040.0 991232.0 0.0 0.0 24.0 1.0 1.0 0.0 0.0 0.0 1346857600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 12.0 0.0 5.0 1.0 4.0 0.0 978944.0 512.0 4096.0 3.0 0.0 0.0 1.0 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 978944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.999462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.932505 1.0137117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 978816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -767.0 2420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 982248.0 2192.0 987136.0 0.0 0.0 0.0 0.0 224.0 989332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 982132.0 256.0 4864.0 0.0 0.0


Input: 0.29953748 0.019230353 0.009385536 0.0057112905 0.009261261 0.008683107 0.0054357224 0.008250843 0.017371617 0.0027016513 0.0034797268 0.0023828563 0.0028151206 0.0028259272 0.0019884154 0.009050531 0.006483963 0.0028691536 0.0019343822 0.0020046253 0.0027556843 0.0027070546 0.0016858304 0.0017830898 0.0029502031 0.00291238 0.0014588917 0.0013130025 0.002626005 0.0018101063 0.001302196 0.0041767526 0.0066190455 0.0015453445 0.0012103397 0.001518328 0.002712458 0.0014210686 0.0011833232 0.0013508257 0.0016912337 0.0012535661 0.0013832455 0.0017074436 0.0018263162 0.0023180167 0.0019938187 0.0016317974 0.006181378 0.002820524 0.0027286678 0.0025449556 0.0046144202 0.002053255 0.0026314084 0.0018911558 0.0034256938 0.0022045474 0.0016696205 0.0018641393 0.001858736 0.002215354 0.008391329 0.018544134 0.005959843 0.003609406 0.0027070546 0.0021289012 0.0032798047 0.003020446 0.0017398634 0.0016750238 0.0030528659 0.0016534106 0.0010806605 0.0013075992 0.002858347 0.001804703 0.0017668799 0.0013292124 0.003895781 0.0011779199 0.002571972 0.0019668022 0.0030690758 0.0039606206 0.0016804271 0.0014372785 0.0028097173 0.002534149 0.0017560733 0.001107677 0.001999222 0.0008969482 0.0008158987 0.012740987 0.004003847 0.0075484137 0.003803925 0.007553817 0.0057599205 0.011579277 0.0070459065 0.0032581915 0.0053006397 0.0106337 0.0017074436 0.0019181723 0.008288666 0.004949425 0.008521008 0.008158986 0.009077548 0.0011238869 0.008904642 0.009526023 0.012541065 0.0036202127 0.002285597 0.0035607764 0.006900017 0.0023072101 0.001053644 0.0009401746 0.0014426818 0.0009455779 0.0010860638 0.0022099507 0.0047224863 0.002091078 0.0024801157 0.0017020403 0.0024044695 0.0017398634 0.0013670356 0.0009725944 0.002766491 0.0014967148 0.0010860638 0.0020748682 0.001464295 0.0017182502 0.0008699317 0.0010590473 0.0024368893 0.001107677 0.0014534884 0.0008158987 0.0014264719 0.0009509812 0.0009023515 0.0011563067 0.002750281 0.0011563067 0.0010860638 0.0008915449 0.0017074436 0.0009888044 0.0010698539 0.0010968704 0.003463517 0.0014751016 0.0012589695 0.0013832455 0.0018317195 0.0012265496 0.0012211463 0.0011400968 0.0019722055 0.0010806605 0.0014048587 0.001285986 0.0017182502 0.0012589695 0.0011725166 0.0014318752 0.0026314084 0.0008699317 0.0008969482 0.00075646234 0.0014805049 0.0009185614 0.0006592029 0.0008915449 0.0024639058 0.00079428544 0.0008267053 0.0006646062 0.0014805049 0.0008158987 0.0009239647 0.0009671911 0.005041281 0.0014859082 0.001285986 0.0012319529 0.0017020403 0.0011238869 0.0010212242 0.0015345379 0.0021721276 0.0011022737 0.0012643728 0.0009563845 0.001912769 0.0010158209 0.0009077548 0.00075105904 0.0042037694 0.0013832455 0.001340019 0.000929368 0.001518328 0.0009239647 0.0008969482 0.0008537218 0.0018965591 0.0010698539 0.0015993775 0.001356229 0.0016750238 0.0010050143 0.0011292902 0.0009779978 0.0038309414 0.0011941298 0.0014318752 0.0010428374 0.0016209908 0.0011400968 0.001053644 0.0010320308 0.002447696 0.0012265496 0.0011941298 0.0013238091 0.0015021181 0.00078888214 0.00175067 0.0012211463 0.003944411 0.0016480073 0.0052358 0.002199144 0.0018371228 0.0012913893 0.0012697761 0.0013238091 0.0023288233 0.0016858304 0.0013832455 0.0014913115 0.0023720497 0.0017884931 0.0022801936 0.006629852 0.022215433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.364525e-05 0.0 0.0 0.0 8.72905e-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 0.010294824 0.0003764403 1.9094798e-05 8.183485e-05 1.3639141e-05 2.4550454e-05 0.00010365747 6.274005e-05 1.636697e-05 1.3639141e-05 1.09113125e-05 1.636697e-05 1.3639141e-05 1.9094798e-05 1.09113125e-05 9.547399e-05 0.0049755587 0.00015275838 0.00014730272 8.183485e-06 4.910091e-05 4.910091e-05 5.4556564e-05 4.364525e-05 2.7278281e-06 5.4556563e-06 0.0 5.4556563e-06 5.4556563e-06 5.4556563e-06 0.0 8.183485e-05 0.00915732 0.00020458712 9.820182e-05 0.00022640974 6.274005e-05 0.0001254801 0.0006083057 0.00042826904 6.0012222e-05 2.4550454e-05 4.0917424e-05 1.3639141e-05 3.8189595e-05 2.4550454e-05 1.09113125e-05 4.910091e-05 0.004397259 4.637308e-05 0.00019913146 6.274005e-05 6.0012222e-05 0.00012275227 0.0002973333 0.0001254801 5.4556563e-06 0.0 5.4556563e-06 0.0 0.0 3.8189595e-05 0.000117296615 0.00010911313 0.009585588 0.00040917424 0.00039553508 0.0005210152 7.910702e-05 0.0010965869 0.0056738826 0.003494348 0.00011184096 0.00010911313 0.00010911313 0.00010365747 0.000117296615 0.000117296615 0.0002127706 0.00021004277 0.02458046 0.0007883424 0.0008974555 0.001524856 0.0005619326 0.008644488 0.030404374 0.019793121 0.0002809663 0.00011184096 0.0002891498 7.637919e-05 0.0001254801 0.0005319265 0.0004937369 0.0002809663 0.03180375 0.0013420915 0.0023050148 0.001969492 0.0028969536 0.0033061279 0.013707337 0.008513552 0.0012438897 0.0005128317 0.0019340302 0.00043099685 0.00057284394 0.0008538102 0.00055374915 0.0006792292 0.06336472 0.0074906163 0.0039799013 0.0045063724 0.006825026 0.0062794606 0.017526297 0.010783105 0.002288648 0.0015030333 0.0021195225 0.0008483546 0.0018003667 0.001271168 0.0014184706 0.0020731494 0.06945596 0.008218947 0.0035543602 0.004367253 0.0031642807 0.0030415284 0.0039771735 0.003988085 0.0046236687 0.0044545433 0.0034643419 0.002779657 0.0028560362 0.0029351432 0.0034043295 0.004206311 0.053653654 0.0033797792 0.003237932 0.007588818 0.0042281337 0.0040262747 0.0052374303 0.0040399134 0.0037807699 0.0031097243 0.0026896386 0.0028533083 0.0029460546 0.0031042686 0.0034479748 0.0044081705 0.03577001 0.004604574 0.003876244 0.010903129 0.0056111426 0.0049782866 0.006841393 0.0042281337 0.004225406 0.0018194615 0.004285418 0.0018958406 0.0041353875 0.003079718 0.0030578955 0.0068332097 0.039089777 0.005335632 0.0046318523 0.013459104 0.006115791 0.0049755587 0.006336745 0.004334519 0.005823913 0.003237932 0.0033961462 0.0032270208 0.005245614 0.0039580786 0.004222678 0.009514665 0.01691799 0.0037616752 0.0033961462 0.008835436 0.004462727 0.0036552898 0.004143571 0.003270666 0.003333406 0.0024495898 0.0025477915 0.00234866 0.0030578955 0.0029624214 0.0030578955 0.0044245375 0.009476475 0.004830984 0.0047027757 0.012089735 0.0050546657 0.004397259 0.005720256 0.004773699 0.0043317913 0.0038025926 0.0035980055 0.0034534305 0.0037425803 0.003908978 0.0039553507 0.0059603048 2484.0 11.731482 29141.0 0.021310182 0.0010981092 0.00041179094 0.0005833705 0.0026080094 0.0007206342 0.00065200235 0.0021962184 0.0015442161 0.00051473867 0.0005490546 0.001166741 0.0013726365 0.004014962 0.0029168525 0.0025393774 0.00847603 0.0060739163 0.005353282 0.0044610687 0.0055591776 0.0025050617 0.0063141277 0.0018187433 0.003534539 0.002024639 0.0022305343 0.0013726365 0.0026080094 0.0013383206 0.0060396004 0.007446553 0.012765519 0.009196664 0.0033629595 0.0062798117 0.0042208573 0.0060396004 0.0035688549 0.0031570639 0.004049278 0.003122748 0.0008922137 0.00092652964 0.0036374866 0.0029511685 0.0029854844 0.0021619024 0.0061768643 0.0019216911 0.0035688549 0.004014962 0.005387598 0.008784873 0.0022648503 0.0027795888 0.0032943275 0.0018187433 0.00394633 0.00096084556 0.0014412684 0.00044610686 0.00051473867 0.0743969 0.003534539 0.039188772 0.015819635 0.04063004 0.020074809 0.06430802 0.024535878 0.011118355 0.013005731 0.046051953 0.0018530593 0.00545623 0.040012352 0.02542809 0.046292167 0.04224289 0.032531485 0.0007206342 0.04594901 0.052674927 0.06616108 0.014996054 0.008201503 0.016917745 0.006588655 0.008167187 0.0018187433 0.00065200235 0.0010981092 0.0005490546 0.0003088432 0.0007206342 5.4073505 1.0 9.0 0.0 3.0 185072.0 196608.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1534163000.0 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 11.0 5.0 1.0 5.0 1.0 123904.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123904.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.436717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5297513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.549263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.805859 0.0 7.0354533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42854.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123573.0 0.0 816.0 0.0 0.0 0.0 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 80.0 171076.0 816.0 184320.0 0.0 0.0 6384.0 178688.0 6428.0 188416.0 84.0 164512.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 131896.0 0.0 0.0 484.0 131072.0 128.0 170500.0 0.0 0.0


Input: 0.20167817 0.018444924 0.0032799258 0.0030795895 0.0035781008 0.0014722394 0.0011274745 0.001635304 0.0036619627 0.0011228155 0.0012113362 0.00091782014 0.0024552853 0.0011694054 0.00087588927 0.0028419811 0.0058703218 0.0028326632 0.0016306449 0.0010109999 0.0034616264 0.0046077366 0.00052646536 0.0005497603 0.0008432764 0.00062896305 0.0004845345 0.000978387 0.0010902026 0.00052180636 0.0004985115 0.00057771424 0.0099748885 0.00057771424 0.002310857 0.0004891935 0.000955092 0.00061964506 0.00057771424 0.0004845345 0.0010389538 0.00039135478 0.0006149861 0.00096441 0.0008572533 0.00042862666 0.001262585 0.0004845345 0.0026183499 0.00047055754 0.0005916912 0.0043654693 0.0007733916 0.0010669077 0.0004472626 0.0031960641 0.0005404423 0.0016679168 0.0004472626 0.0012998569 0.0017750735 0.0011880413 0.00034476494 0.0010296358 0.002254949 0.0008339584 0.000978387 0.0015188293 0.15841483 0.0032939028 0.0047801193 0.0010669077 0.0014256496 0.0016585989 0.00043328566 0.00038203681 0.002930502 0.0016679168 0.00082464045 0.00064294 0.006774165 0.0013790597 0.0010249768 0.002930502 0.0013324699 0.0020452947 0.002315516 0.0031914052 0.00057771424 0.001271903 0.00039135478 0.00067089393 0.0008386174 0.0011088386 0.007058363 0.000978387 0.00073146075 0.0036153728 0.00092247914 0.0033125388 0.006965183 0.008670372 0.020280564 0.0062756534 0.0057025985 0.004169792 0.00257176 0.0007500967 0.02369094 0.0014908754 0.0062523587 0.0059541836 0.0019893867 0.00040999072 0.00491523 0.0029631148 0.009234109 0.0062290635 0.0061358837 0.0034336722 0.00128588 0.0013790597 0.000647599 0.0004239677 0.000978387 0.0010529307 0.00046589854 0.0008525944 0.003526852 0.00081998145 0.0005078294 0.0021431334 0.0013324699 0.0054184003 0.00077805057 0.00046589854 0.000959751 0.0035920779 0.00028885712 0.007803801 0.0008665713 0.0046356907 0.0005823732 0.00037737782 0.00046589854 0.00034010594 0.000326129 0.0019987049 0.0004938525 0.00039601378 0.00034010594 0.00032147 0.0007966865 0.0030376585 0.0006010091 0.00026090318 0.0005031704 0.0005963502 0.00027953912 0.00023294927 0.00071748375 0.0020732486 0.003899571 0.0005124884 0.00052646536 0.0004193087 0.00026090318 0.000326129 0.00075475563 0.0003494239 0.00039601378 0.00078736857 0.0005124884 0.0003540829 0.00030283406 0.0002236313 0.0006848709 0.00034010594 0.00026556218 0.00031215203 0.00056839624 0.0012998569 0.0003866958 0.0005451013 0.000969069 0.0004519216 0.00038203681 0.0006941889 0.00057305524 0.0008525944 0.0006010091 0.0008386174 0.004253654 0.0005544193 0.0009830459 0.0011461105 0.0029351609 0.0002236313 0.022004388 0.0018402993 0.0008665713 0.0009457741 0.00046589854 0.00043328566 0.12224712 0.0002981751 0.000647599 0.0003494239 0.0009364561 0.0005497603 0.00033544697 0.0007361197 0.0008479354 0.00030283406 0.0013138339 0.0011321335 0.0014349675 0.00036805985 0.0006103271 0.00078270957 0.0005963502 0.0010948617 0.00040533175 0.00033544697 0.0012392901 0.00032147 0.00034476494 0.00033078797 0.0010296358 0.00026556218 0.0004519216 0.000647599 0.0034243544 0.00096441 0.0003494239 0.0017378016 0.0027115296 0.00035874188 0.0006010091 0.00073146075 0.0018635942 0.00057771424 0.00035874188 0.000987705 0.0013324699 0.00037737782 0.000969069 0.0015141703 0.0021617692 0.0008432764 0.00065691693 0.0011927004 0.002581078 0.0028373222 0.0016818938 0.046035435 0.014261099 0.0 0.0 2.347506e-06 4.695012e-06 4.695012e-06 7.277269e-05 7.042518e-06 9.390024e-06 2.347506e-06 1.8780049e-05 1.173753e-05 1.8780049e-05 7.042518e-06 0.0 2.347506e-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 0.008805495 4.4602613e-05 5.6340145e-05 3.7560098e-05 4.9297625e-05 6.1035156e-05 6.573017e-05 3.7560098e-05 0.00018780048 2.8170072e-05 3.7560098e-05 4.225511e-05 3.2865086e-05 6.1035156e-05 3.0517578e-05 3.7560098e-05 0.0042231632 2.8170072e-05 3.521259e-05 2.5822566e-05 4.4602613e-05 4.225511e-05 4.4602613e-05 2.8170072e-05 0.00018075797 1.6432543e-05 1.6432543e-05 1.8780049e-05 2.347506e-05 3.7560098e-05 1.4085036e-05 2.8170072e-05 0.0039414624 4.695012e-06 1.4085036e-05 2.5822566e-05 0.00012207031 8.920523e-05 0.0003075233 0.00013380784 2.1127555e-05 9.390024e-06 3.7560098e-05 2.8170072e-05 2.8170072e-05 1.4085036e-05 9.390024e-06 2.1127555e-05 0.0023897612 0.0 0.0 0.0 0.055370625 0.0 0.006746732 0.0 0.0 0.0 0.0 0.0 0.03645442 0.0 0.0 0.0 0.008096548 5.6340145e-05 0.00024414062 0.00014789288 0.0753479 4.9297625e-05 0.02948937 0.0018498347 0.00025118314 2.8170072e-05 4.695012e-05 2.8170072e-05 0.071732745 3.2865086e-05 2.8170072e-05 7.042518e-05 0.034860466 0.00011268029 0.004258376 0.00021597055 0.03153405 0.00036386342 0.023207445 0.010751577 0.00047419622 7.042518e-06 9.624775e-05 3.7560098e-05 0.027724046 9.390024e-06 7.98152e-05 0.00088266225 0.041248027 0.0010962853 0.004025973 0.0004601112 0.0022629958 0.001767672 0.013622577 0.0077538122 0.00058687653 5.6340145e-05 2.8170072e-05 6.573017e-05 0.00015258789 7.277269e-05 0.00010094276 0.0036222017 0.014965351 0.00039907603 0.0012864333 0.0006361741 0.0038264347 0.001563439 0.00801908 0.0042513334 0.0003145658 0.0001150278 0.0002347506 0.00014554537 0.00096951996 0.00014554537 0.00019014798 0.0013991136 0.0062279333 0.0010915903 0.00041785606 0.0016573393 0.0018944374 0.0019249549 0.0013122559 0.0008873573 0.00022770808 0.00036855845 0.00014319786 0.00020892803 0.0012676532 0.0005258414 0.00018075797 0.00089439977 0.009728065 0.0005610539 0.00046245867 0.0011432355 0.0010563777 0.0010728103 0.0024390589 0.0012864333 0.00046245867 0.0006690392 0.00020892803 0.00022066556 0.001767672 0.00044133113 0.0003568209 0.002162053 0.024932861 0.003446139 0.002129188 0.0053100586 0.0028850848 0.006615272 0.004486084 0.0028709997 0.0031879132 0.0028545673 0.00087092473 0.0014272836 0.0039954553 0.0023357684 0.0017301119 0.007845365 0.057840202 0.01487145 0.006695087 0.009256216 0.007446289 0.016193096 0.008774977 0.009305513 0.021946834 0.0056387093 0.008946345 0.005943885 0.012775128 0.0061974158 0.009627122 0.038926344 0.014317439 0.0045447717 0.0020634579 0.002866305 0.0024296688 0.004248986 0.0023357684 0.003108098 0.006500244 0.001206618 0.0017934946 0.0016315167 0.0044320915 0.0019930326 0.0032653809 0.0105708195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1755.0 29.725925 52169.0 0.0032778087 0.00023002166 0.0014568039 0.00036420097 0.00038336942 0.00011501083 0.00011501083 0.00015334778 0.00019168471 0.00011501083 0.00055588566 0.00024919014 0.00038336942 0.00030669555 0.0010542659 0.00028752707 0.0005367172 0.00042170638 0.0008242443 0.0008242443 0.00024919014 0.00017251624 0.000325864 0.0079357475 0.00028752707 0.00028752707 0.00028752707 3.8336944e-05 0.004178727 0.0005942226 0.00024919014 0.00021085319 0.00042170638 0.0009967606 0.0016868255 0.0018210048 0.6423738 0.00092008663 0.015794821 0.0028369338 0.0011692768 0.0009775921 0.0004025379 0.0003450325 0.00877916 0.00086258125 0.0004792118 0.0004025379 0.0014568039 0.0006325596 0.00072840194 0.0019360157 0.0011692768 0.0004983803 0.0009392551 0.0027027545 0.00017251624 0.0002683586 0.00015334778 0.00021085319 0.0002683586 0.0001341793 0.022522954 0.00024919014 0.00017251624 0.003450325 0.0009584236 0.002281048 0.02031858 0.008836665 0.06889149 0.016082348 0.0016293201 0.0032969771 0.00057505415 0.00046004332 0.085568056 0.0012459507 0.0035461672 0.0040828846 0.0011884453 0.00011501083 0.0039678738 0.0032969771 0.0070923343 0.0012842877 0.01619736 0.0010734344 0.0014568039 0.0012267822 0.00015334778 0.00011501083 0.00015334778 0.00021085319 7.667389e-05 1.9168472e-05 2.4711354 0.0 0.0 0.0 1.0 214639.0 229376.0 1.0 0.0 197.0 0.0 1.0 0.0 0.0 0.0 1091599100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 61952.0 1024.0 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 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 146432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44377568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.253048 0.0 4.522516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61754.0 0.0 146152.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 61412.0 146152.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 11176.0 204.0 600.0 824.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.16453591 0.009362065 0.007815087 0.0076986756 0.011677359 0.0040459437 0.0030370448 0.0028507863 0.008078953 0.0021549049 0.0021962954 0.0020152112 0.00553601 0.0033293667 0.0019143212 0.0071993996 0.016240686 0.0022480339 0.0016996068 0.0017409975 0.0049694744 0.009364652 0.001891039 0.0016763245 0.0038260554 0.0018858651 0.0015366308 0.007553808 0.0034975165 0.0023256415 0.0015469785 0.001888452 0.0059835473 0.0014460885 0.0014279801 0.0017047806 0.019238928 0.0018056706 0.0012856995 0.0015728477 0.002866308 0.0015236962 0.0014848923 0.002964611 0.0023954883 0.0016038907 0.0054170117 0.001270178 0.00322589 0.001978994 0.001826366 0.0051660803 0.0028042218 0.002641246 0.0019893418 0.0018186051 0.0027473096 0.0029413286 0.0019764074 0.0054066638 0.0027136796 0.002993067 0.0020617757 0.0019065604 0.004948779 0.0036191018 0.002962024 0.0030318708 0.008151387 0.004488307 0.004338266 0.003287976 0.0029775456 0.0019091474 0.001559913 0.0017927359 0.0047961506 0.0030189361 0.0024653352 0.0018004967 0.007771109 0.0044081127 0.004294288 0.004581436 0.0041209646 0.0034897558 0.005533423 0.006506105 0.0020747103 0.002641246 0.0013374379 0.0025481167 0.0027473096 0.003450952 0.0036035804 0.003355236 0.0022247517 0.002762831 0.001658216 0.0020902317 0.002861134 0.0044727856 0.0023230547 0.0015004139 0.0067182328 0.0026283113 0.0053031873 0.0014409147 0.003644971 0.001854822 0.002667115 0.0031534561 0.0025895075 0.0013426117 0.0048090853 0.0032750415 0.009574193 0.012727649 0.002185948 0.002147144 0.004079574 0.0021342095 0.001399524 0.0013633071 0.0028895903 0.0023282284 0.0020979925 0.0018806913 0.0037691433 0.0023385761 0.0013115687 0.013780526 0.0034638867 0.008327297 0.0014745448 0.0014228063 0.003223303 0.012999276 0.0019764074 0.030357512 0.001854822 0.014279801 0.0014357409 0.0013581333 0.0016970199 0.0012908734 0.0012856995 0.0013296772 0.001891039 0.0015702607 0.0013840025 0.0012779387 0.0015185224 0.0013477856 0.0011977442 0.0013245033 0.0016633898 0.0014021109 0.001270178 0.001559913 0.0015728477 0.0017461714 0.0013089818 0.0013529594 0.0016685637 0.0015236962 0.001267591 0.0012365481 0.0017487583 0.0012856995 0.0012572433 0.0013865894 0.0015004139 0.0011511797 0.001202918 0.0012236134 0.0016142384 0.0012520695 0.0012468956 0.0012572433 0.0016349338 0.0015573262 0.0016633898 0.0014616101 0.0020721233 0.0013400249 0.0013270902 0.0013270902 0.0015547392 0.0015573262 0.0016168253 0.0015081747 0.006107719 0.004211507 0.0030655009 0.004131312 0.006177566 0.001725476 0.0037510348 0.0049022143 0.0026878105 0.002312707 0.0019013865 0.0015418046 0.012807843 0.0014486755 0.0017047806 0.0015418046 0.0033009106 0.0020876448 0.002307533 0.0017306498 0.0015443915 0.0012546565 0.0014926532 0.0015055877 0.0021005794 0.0014771316 0.001332264 0.0020281456 0.0018289528 0.001433154 0.0013710678 0.0013788287 0.0023540978 0.0014512624 0.0014719578 0.0015469785 0.0022971854 0.0017823882 0.0013581333 0.0013400249 0.015650868 0.0031456954 0.001559913 0.004234789 0.0029775456 0.0014719578 0.0013374379 0.0014357409 0.003062914 0.0016737375 0.0013426117 0.0016064777 0.0018367135 0.0017772143 0.0026102029 0.002056602 0.0047030216 0.0022506209 0.0018367135 0.0016219992 0.002436879 0.0029387418 0.0031612169 0.031397454 0.047872342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074060317 4.025723e-05 3.506275e-05 2.0777925e-05 3.765999e-05 3.895861e-05 0.00011038273 0.00017791099 1.8180684e-05 1.16875835e-05 1.2986204e-05 1.5583444e-05 1.16875835e-05 1.6882064e-05 1.5583444e-05 9.090342e-06 0.0022751829 0.0 7.66186e-05 3.765999e-05 7.791722e-06 3.895861e-06 0.00015193858 0.00010648687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006317788 0.00025712684 0.00020128615 0.00010648687 9.479929e-05 9.609791e-05 0.0003064744 0.00022076546 0.00013635514 1.2986204e-05 1.2986204e-05 2.9868268e-05 2.7271028e-05 7.01255e-05 5.1944815e-05 3.636137e-05 0.005733409 0.00020777926 0.00011038273 0.00033374544 0.0002233627 0.00017791099 0.0005285385 0.00031037026 6.752826e-05 2.9868268e-05 4.025723e-05 1.9479305e-05 2.8569648e-05 9.090342e-05 3.636137e-05 4.025723e-05 0.004350378 0.00025063372 0.00010388963 0.00057528884 0.00010908411 0.00026491855 0.0012051197 0.0006207405 4.545171e-05 2.5972407e-05 5.0646195e-05 3.376413e-05 5.4542055e-05 5.5840675e-05 0.0001662234 6.622964e-05 0.005306163 7.791722e-05 0.00038698886 0.00014544548 0.00048308677 0.00027271028 0.002438809 0.0012960231 3.116689e-05 2.7271028e-05 1.8180684e-05 3.765999e-05 4.285447e-05 4.025723e-05 1.16875835e-05 2.2076545e-05 0.007817695 0.0004999688 0.0010103267 0.00026102268 0.00043763506 0.00032335648 0.0026504842 0.0015219831 0.00019089719 5.1944815e-05 4.285447e-05 5.9736536e-05 0.00010518825 0.00012596618 0.00022076546 0.0006376226 0.0044218022 0.00066229637 0.0010103267 0.00031686336 0.00034153715 0.0003688082 0.0031517516 0.0016362616 0.0002233627 0.00010908411 9.999377e-05 0.00010648687 0.00010129239 0.00011427859 0.00022595994 0.00040776678 0.010599339 0.0015895113 0.0018453395 0.0066307555 0.0016609355 0.0012869327 0.0041581825 0.0024504967 0.0013466693 0.00067268533 0.0005869764 0.000523344 0.00113889 0.00062723365 0.0009324094 0.0011843417 0.011813549 0.0039179376 0.0017271651 0.001057077 0.0022102518 0.0023414125 0.0017466444 0.0024842608 0.004582831 0.00041425988 0.00032725232 0.000561004 0.0016271713 0.00046230885 0.001672623 0.002947868 0.06843469 0.023284262 0.020419506 0.010960355 0.019875385 0.025324395 0.007142412 0.016449625 0.05126823 0.0027803462 0.0023336208 0.0034296564 0.026804823 0.005565887 0.014678306 0.023057004 0.04221555 0.017166462 0.011430456 0.008252732 0.013749792 0.016567798 0.0076306933 0.013784855 0.02994099 0.0026426923 0.0029855282 0.003468615 0.014682202 0.0050672167 0.011695375 0.022123296 0.01619769 0.016165227 0.015814599 0.01567175 0.016098997 0.015626298 0.016204184 0.015967837 0.015922384 0.016319761 0.015982121 0.015787328 0.015626298 0.016043156 0.015887322 0.016004197 1797.0 9.861436 17721.0 0.042209808 0.0022007788 0.0023700695 0.0028215111 0.020709893 0.007787371 0.0019750579 0.005360871 0.00513515 0.0033858134 0.002031488 0.0036115344 0.0041194065 0.0067151967 0.0069409176 0.0025957902 0.009085266 0.00496586 0.004457988 0.009536708 0.008238813 0.0071102083 0.0062073246 0.005304441 0.008408103 0.009762429 0.008295243 0.009141697 0.009649568 0.010834603 0.0072230687 0.0050787204 0.0071666385 0.008182382 0.006094464 0.008520964 0.010891033 0.004288697 0.008859545 0.009818859 0.0071102083 0.0057558827 0.002031488 0.0024264997 0.009536708 0.0043451274 0.00502229 0.003272953 0.015349021 0.0071102083 0.008408103 0.012188928 0.008520964 0.0050787204 0.0095931385 0.01247108 0.0047965692 0.0028779414 0.0026522204 0.004514418 0.00496586 0.004740139 0.005304441 0.014333277 0.0064894757 0.026578635 0.011455336 0.02014559 0.02511145 0.06252469 0.0076745106 0.0076745106 0.015856894 0.026578635 0.005360871 0.0048529995 0.034986738 0.010834603 0.024998588 0.034309577 0.013994696 0.002031488 0.04012189 0.025562892 0.046329215 0.026014334 0.010608882 0.0051915804 0.009254557 0.007956661 0.0031600925 0.0019186276 0.00496586 0.002257209 0.002765081 0.0029343716 6.052595 1.0 0.0 0.0 2.0 386560.0 409600.0 1.0 58.0 89.0 1.0 1.0 0.0 0.0 0.0 1334603800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 179200.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -179200.0 0.0 166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.776138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0153384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6357865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.609659 0.0 6.937251 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8974.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25115.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -178866.0 0.0 166280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 1.0 0.0 -2.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -2.0 2.0 0.0 -1.0 1.0 2091.0 207344.0 40.0 205332.0 166280.0 229376.0 0.0 0.0 0.0 0.0 5392.0 397312.0 28.0 184752.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 203440.0 0.0 0.0 360.0 184320.0 0.0 0.0 0.0 0.0