Input: 0.04157239 0.024189193 0.012481908 0.019723631 0.010940303 0.017515697 0.009777091 0.016189406 0.009699374 0.014982876 0.008415127 0.014287244 0.008239308 0.013275644 0.00748889 0.013731755 0.007645599 0.012289526 0.006818738 0.011838511 0.009652235 0.011967191 0.0065473644 0.010732632 0.0062823608 0.010740276 0.0057549025 0.010164404 0.0059867804 0.00979875 0.005654252 0.009527377 0.0064543583 0.009834424 0.0054924474 0.0089718895 0.0055625206 0.008820277 0.004956071 0.008524696 0.005018499 0.008218924 0.004663038 0.008094066 0.0047140005 0.0078519955 0.004635009 0.007725864 0.0044795745 0.0075678816 0.0043279617 0.0077717304 0.0041266615 0.0074481205 0.0040336554 0.0069321287 0.0040565883 0.0070506157 0.003971227 0.006971624 0.003935553 0.0064339736 0.0037584598 0.006477291 0.0038858652 0.006352434 0.0035431446 0.0062237545 0.0036093954 0.0075946366 0.003669276 0.00602755 0.003317637 0.0057612727 0.0031188845 0.005338287 0.0032348235 0.0055268467 0.003222083 0.005242733 0.00405404 0.0053472053 0.0030666483 0.005914159 0.0030513597 0.005484803 0.0032908819 0.0055829054 0.0029710943 0.005098765 0.0026232775 0.004638831 0.002754505 0.0049407817 0.0027876305 0.0047190967 0.0026067148 0.004757318 0.002517531 0.004492315 0.002796549 0.005152275 0.0025876039 0.0041776234 0.0032564823 0.004400583 0.0030997738 0.003938101 0.0027876305 0.0038973317 0.0026742397 0.00433051 0.0025557526 0.0035902846 0.002609263 0.0040578623 0.0037482672 0.005033788 0.002116204 0.0036947571 0.0020767082 0.003508745 0.0019098072 0.003320185 0.0023251488 0.003647617 0.0018295418 0.0031418174 0.0023340671 0.0032730452 0.001764565 0.0042515188 0.002213032 0.0038030515 0.0016448039 0.0029099397 0.0018512007 0.0036386987 0.0019352882 0.0046515716 0.001648626 0.0035495148 0.0014677104 0.0026602251 0.0015428796 0.002494598 0.0014868212 0.0024640206 0.0014919174 0.0025837817 0.0013696082 0.0024334434 0.0014052817 0.0024347175 0.0013504974 0.0021939212 0.0012880687 0.0022729125 0.0012511212 0.0021289445 0.0014855472 0.0022372392 0.0012625876 0.0022385132 0.0012383807 0.0020499532 0.0011415525 0.0019684136 0.0011224417 0.0018053347 0.0010294358 0.0018486526 0.0011084271 0.0018410082 0.0009861179 0.0017441801 0.0010969606 0.0016664629 0.0009275114 0.0015989379 0.0009810217 0.0015352352 0.0011046049 0.0015696347 0.0008841936 0.001480451 0.0008434238 0.0014753547 0.00083323143 0.0014014596 0.0007873655 0.0014282147 0.0015874715 0.0015377833 0.00083577953 0.0015836493 0.0011339082 0.0012039811 0.0010052287 0.0014027336 0.00081666873 0.0013530455 0.0006472195 0.0010867682 0.000658686 0.0010396282 0.0006446714 0.0010065028 0.0015785531 0.0027417645 0.000611546 0.0009160449 0.0005809687 0.0008982082 0.0008268611 0.0008345055 0.00060517574 0.00077462493 0.0004586595 0.0008268611 0.0005057995 0.00073258113 0.00043700056 0.000658686 0.00061919034 0.0006421233 0.0003643795 0.00059880543 0.00040260112 0.00048159246 0.00026627732 0.0004777703 0.0011683076 0.0007007298 0.00024207028 0.00086380873 0.0005758725 0.00040260112 0.0002446184 0.00034272057 0.00046502976 0.0003197876 0.0001834638 0.00031341732 0.0004357265 0.00023824812 0.000352913 0.00031596542 0.00076061033 0.0003809422 0.00014906433 0.00021531514 0.000400053 0.0002446184 0.00024334434 0.0051204236 0.007843138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012127247 2.5531047e-06 4.467933e-06 1.0850695e-05 1.2127247e-05 1.659518e-05 2.808415e-05 1.5318628e-05 0.0 0.0 0.0 0.0 6.3827616e-07 6.3827616e-07 6.3827616e-07 2.5531047e-06 0.00234375 6.191279e-05 1.7871733e-05 1.659518e-05 2.489277e-05 2.6169322e-05 4.2764503e-05 2.9998979e-05 1.2127247e-05 4.467933e-06 5.7444854e-06 5.1062093e-06 7.659314e-06 5.7444854e-06 3.829657e-06 5.7444854e-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 0.006062347 8.808211e-05 0.00030892566 0.00012254903 0.00010659212 0.00013850593 0.00078507967 0.00079912174 0.000249566 0.00011106005 8.04228e-05 5.2338644e-05 3.9573122e-05 6.510417e-05 5.297692e-05 8.808211e-05 0.004348575 9.63797e-05 0.0005304075 0.00024254493 0.00045062296 0.0003638174 0.0019358916 0.0010716657 2.170139e-05 1.5956904e-05 1.5318628e-05 1.5956904e-05 7.0210376e-06 1.1488971e-05 1.9148285e-06 2.1063113e-05 0.0027516084 8.680556e-05 0.00036828534 0.00024509805 0.0003082874 0.00026169323 0.0014220793 0.0008195466 4.2126227e-05 2.8722427e-05 2.8722427e-05 2.2339666e-05 2.7445874e-05 3.829657e-05 2.489277e-05 5.9997958e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005674275 0.0003025429 0.00019850388 0.00017169629 5.8721405e-05 6.4465894e-05 0.00017361112 8.2337625e-05 5.8721405e-05 3.7658294e-05 0.00010723039 3.4466913e-05 4.787071e-05 0.00034403085 9.7017975e-05 0.000268076 0.21003242 0.13525262 0.105678745 0.08631089 0.07228733 0.06115643 0.050871886 0.043374054 0.038257632 0.02968367 0.024156837 0.018893613 0.015174377 0.010232205 0.006199576 0.0035488154 0.0068429587 0.0054087522 0.0024126838 0.002202691 0.0023609835 0.004259855 0.0021880106 0.002922028 0.004877706 0.00031658498 0.00068359374 0.0005776399 0.002172692 0.0031377655 0.0019626992 0.006039369 0.00014488869 0.00017807905 7.9146244e-05 5.61683e-05 7.5954864e-05 6.382762e-05 5.0423816e-05 7.0848655e-05 0.00010595384 7.659314e-06 3.638174e-05 2.3616218e-05 7.276348e-05 0.00016148387 5.935968e-05 0.00012063419 8536.0 6.138238 52396.0 0.01318803 0.020039698 0.011413085 0.018436521 0.010859608 0.019314451 0.010935949 0.019333538 0.0108214365 0.017558591 0.010038935 0.01815024 0.00984808 0.017654018 0.010248874 0.017959386 0.010115276 0.016718833 0.008702954 0.017253226 0.009447286 0.015344683 0.009218261 0.015153828 0.008569356 0.015707307 0.009409116 0.014485839 0.008970151 0.0147912055 0.007882281 0.014409496 0.007996794 0.014256814 0.008130392 0.013875105 0.0076914267 0.015001145 0.007882281 0.013168944 0.007786854 0.013226201 0.007118864 0.011413085 0.007252462 0.012023819 0.0076341704 0.012749065 0.00805405 0.011871135 0.0073097185 0.013550653 0.0070806933 0.011260401 0.006412703 0.012176502 0.0067753266 0.010019849 0.005496603 0.009771738 0.005763799 0.010153447 0.0063745324 0.010420643 0.0063363616 0.01210016 0.0058210553 0.0114512555 0.0071761203 0.017539507 0.005324834 0.009447286 0.006565387 0.0116421105 0.0056302007 0.0085121 0.008435759 0.009790824 0.007786854 0.011470341 0.006679899 0.007615085 0.008989235 0.010916864 0.0100961905 0.00872204 0.0045805024 0.008340332 0.00559203 0.007920452 0.0044087335 0.007576914 0.004179708 0.0073669744 0.003893427 0.006412703 6.4859123 1.0 0.0 0.0 15.0 784896.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 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 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.514779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557199 0.0 2.2897034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13513796 0.008028062 0.0042328597 0.0055327653 0.010686664 0.003357546 0.0026128762 0.0031354516 0.007838629 0.0019269963 0.0025867475 0.00184861 0.0056307483 0.0019792537 0.0020445758 0.0046378556 0.0070547657 0.0012215197 0.0014044209 0.0012215197 0.0046182587 0.0016853051 0.0012280518 0.0010255539 0.00417407 0.0012737772 0.001130069 0.0010908758 0.0037560095 0.0013456313 0.0010255539 0.0010778115 0.004670516 0.0009341033 0.0008295882 0.0008295882 0.020935671 0.001437082 0.0008426526 0.0008295882 0.0036057692 0.00096023205 0.0008099916 0.0032530308 0.0025932796 0.0011561977 0.001437082 0.0009275711 0.003631898 0.0017244983 0.001437082 0.0044745505 0.0020772365 0.0017440949 0.0016330477 0.0016657086 0.002188284 0.0031027906 0.0015938545 0.0030309365 0.0020184468 0.001815949 0.0012541806 0.0013586957 0.005343332 0.006656302 0.0013064381 0.0014632107 0.009334501 0.0063492893 0.0035339152 0.00184861 0.0017571592 0.0012933738 0.001097408 0.0011823265 0.004657452 0.0030440008 0.0029917434 0.0015154682 0.008433058 0.003834396 0.002469168 0.0034685931 0.0034685931 0.0033052885 0.00432431 0.0032073057 0.0013064381 0.0009798286 0.00082305603 0.0027696488 0.0015938545 0.0031811767 0.003867057 0.003592705 0.0012541806 0.0020380435 0.0009732964 0.0019204641 0.0026259406 0.0023777173 0.0026259406 0.0010516827 0.0024038462 0.0015154682 0.0049448684 0.00080345944 0.0021686873 0.0012476484 0.0017702236 0.0017571592 0.0026063442 0.00079692726 0.0022209447 0.0014436141 0.008740071 0.0056960704 0.0009732964 0.0010451504 0.0011627299 0.00089491013 0.0007642663 0.00080345944 0.003324885 0.0018943353 0.0020968332 0.001678773 0.004938336 0.0047423705 0.0028284385 0.015631532 0.0038997177 0.006924122 0.0025671509 0.0025083611 0.004017297 0.009262647 0.0067738816 0.029512437 0.002985211 0.007342182 0.0027827132 0.0028023098 0.0029917434 0.0027369878 0.0026194085 0.0028610996 0.0028937606 0.002776181 0.0026912626 0.0026586016 0.0028023098 0.0032856918 0.0027696488 0.0028088419 0.002985211 0.0027631167 0.002776181 0.0028480352 0.0029721467 0.0035339152 0.0028349708 0.003324885 0.003155048 0.0028937606 0.0029917434 0.0028937606 0.0032987562 0.0032399665 0.0031746447 0.0031093226 0.0033052885 0.00295255 0.0031419836 0.0034424644 0.003357546 0.003155048 0.0031289193 0.0030309365 0.0033052885 0.0019596573 0.0018812709 0.0021294942 0.0037233487 0.0025671509 0.0021752196 0.0022144127 0.0023319921 0.0019596573 0.0023450565 0.0022862668 0.0071788775 0.004768499 0.0047554346 0.006623641 0.008204431 0.0024430393 0.0045529366 0.0061010662 0.002985211 0.003324885 0.0023842496 0.0028610996 0.019289559 0.0022209447 0.0030309365 0.0023777173 0.00274352 0.002913357 0.0026259406 0.0026586016 0.0024822324 0.002260138 0.0022470737 0.0023123955 0.0036906877 0.0024169106 0.0022993311 0.0031289193 0.0026847303 0.0022993311 0.002397314 0.0022536058 0.0037625418 0.003017872 0.002776181 0.0023581209 0.003148516 0.0030048077 0.002364653 0.0025083611 0.010268603 0.003984636 0.0023254598 0.0047880956 0.004389632 0.0028023098 0.0025214255 0.002397314 0.004376568 0.0033444816 0.0030897262 0.003017872 0.0031093226 0.0026781983 0.003769074 0.0045660012 0.0048076925 0.0034489967 0.0029198893 0.003187709 0.0047489027 0.0030440008 0.004082619 0.0302963 0.013513514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020534206 0.020006334 0.027290963 0.013249578 0.013355152 0.013671875 0.013355152 0.013671875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006176098 0.0005806588 0.006176098 0.0005806588 0.0 0.0 0.0 0.0004255965 3.2991977e-06 1.3196791e-05 0.0 3.2991975e-05 1.3196791e-05 4.288957e-05 1.9795185e-05 0.0 9.8975925e-06 3.2991977e-06 9.8975925e-06 6.5983954e-06 0.0011085304 0.0056482265 0.006176098 0.0059253587 0.0001451647 0.0001418655 6.5983954e-06 0.00012207031 1.9795185e-05 1.6495987e-05 1.6495987e-05 0.003757786 0.005931957 0.0076541384 0.0059220595 0.007225243 0.008066538 0.005506361 0.0035961254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003672007 2.6393582e-05 1.9795185e-05 0.0 9.237754e-05 1.3196791e-05 5.2787163e-05 1.9795185e-05 0.0 9.8975925e-06 6.5983954e-06 1.3196791e-05 9.8975925e-06 6.5983954e-06 0.0 0.0028142156 0.0052028345 0.000102275124 0.00011217272 0.00010557433 0.00010887352 9.897593e-05 9.897593e-05 5.608636e-05 9.897593e-05 8.9078334e-05 0.00013526711 0.000102275124 0.000115471914 0.00012207031 0.00010557433 0.000102275124 0.0058230837 0.00012536951 0.000267235 0.0013823638 0.0001451647 0.0001286687 0.0005641628 0.00028703018 0.00407121 0.00010887352 0.000102275124 0.0001385663 8.577914e-05 7.918074e-05 6.928315e-05 0.00013526711 0.008699984 0.00035961255 0.00045199008 0.00012207031 0.0007324219 0.00021114865 0.0006367451 0.00043219488 0.0002639358 0.00020455025 0.0003068254 0.00012536951 0.00017815667 0.00012536951 0.00011217272 0.000550966 0.0026657516 3.2991975e-05 0.00038270693 7.258235e-05 0.0002771326 0.00033651816 0.0016001109 0.0011877111 9.8975925e-06 2.969278e-05 1.9795185e-05 3.6291174e-05 1.6495987e-05 1.3196791e-05 2.3094384e-05 5.2787163e-05 0.0034542598 0.00011877112 0.00034971494 0.0001418655 0.00054106844 8.9078334e-05 0.0007720122 0.00036951015 2.969278e-05 0.0001418655 0.0001418655 3.959037e-05 6.5983954e-06 2.3094384e-05 1.9795185e-05 0.000517974 0.03066934 0.0024117134 0.0027086413 0.008056641 0.004051415 0.0020619985 0.004510003 0.0038171716 0.0042955554 0.0014318518 0.0015968117 0.0016594965 0.002688846 0.0017782676 0.0022137617 0.0071295663 0.012955949 0.0010986328 0.0029494828 0.0026756492 0.0024084144 0.0017056852 0.0029164907 0.002886798 0.004424224 0.00061695 0.0005773596 0.0008874842 0.0029824746 0.001134924 0.0019003379 0.0051764413 0.07338075 0.014711122 0.020735458 0.0094588 0.026010875 0.025321342 0.009095888 0.012635927 0.04580606 0.0017155828 0.0026921453 0.0038996516 0.033968538 0.004790435 0.0140083935 0.026093354 0.025875608 0.0072219437 0.010174725 0.0049125054 0.011474609 0.013190192 0.0033255913 0.0064334353 0.01944877 0.0012470967 0.0018046611 0.0019135346 0.014879381 0.0029758762 0.006007839 0.011006123 0.0077036265 0.0078520905 0.0077201226 0.007743217 0.007429793 0.007489179 0.0076178475 0.007878484 0.00744299 0.0075683594 0.00744299 0.00736051 0.0073902025 0.007505675 0.007581556 0.00789498 613.0 9.029364 5535.0 0.030171635 0.0018066848 0.0016260162 0.0018066848 0.04715447 0.0027100272 0.0014453478 0.0016260162 0.009936766 0.0016260162 0.0005420054 0.009214092 0.006865402 0.00469738 0.020957543 0.0025293587 0.018428184 0.012104788 0.00939476 0.0063233967 0.009214092 0.009033424 0.01192412 0.009214092 0.012646793 0.0200542 0.007949413 0.015537488 0.01192412 0.0056007225 0.0052393856 0.0050587174 0.0050587174 0.00596206 0.0036133695 0.00596206 0.015176152 0.0066847336 0.006504065 0.006504065 0.0054200543 0.004516712 0.0025293587 0.0018066848 0.009575429 0.0032520324 0.0050587174 0.00234869 0.018428184 0.0070460704 0.010478771 0.012104788 0.0086720865 0.008491418 0.009214092 0.010478771 0.0050587174 0.0019873532 0.0012646794 0.003432701 0.0056007225 0.0043360433 0.004878049 0.01300813 0.003794038 0.024932249 0.006142728 0.029810298 0.02240289 0.043179765 0.00831075 0.011020777 0.0074074073 0.02366757 0.0043360433 0.005781391 0.020776875 0.01300813 0.02836495 0.024390243 0.043541104 0.0010840108 0.02710027 0.014814815 0.048238482 0.016440831 0.0050587174 0.005781391 0.00596206 0.0028906956 0.0012646794 0.0016260162 0.0086720865 0.0021680216 0.0056007225 0.0036133695 6.0372696 0.0 0.0 0.0 1.0 153088.0 983040.0 0.0 0.0 47.0 1.0 0.0 0.0 0.0 0.0 915885700.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 10.0 4.0 0.0 4.0 0.0 74752.0 1024.0 4096.0 6.0 0.0 0.0 2.0 4.0 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 3584.0 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 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74752.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6813695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.530555 0.0 0.0 7.993041 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9899054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5181665 -5.2695794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3272.0 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 -860752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74706.0 -1250.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 950272.0 0.0 0.0 0.0 0.0 0.0 0.0 2836.0 954368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 950504.0 0.0 0.0 0.0 0.0


Input: 0.20255725 0.0067729657 0.0043160664 0.0038562724 0.00636115 0.0031505886 0.002334954 0.0021190506 0.010203429 0.0017911976 0.0025168725 0.001359391 0.0045859455 0.002662807 0.0014333578 0.00651708 0.004667909 0.0011634787 0.0012194536 0.0011174993 0.0026248242 0.0019171411 0.0014913318 0.004673906 0.0059393393 0.002089064 0.0013533937 0.0013334026 0.001971117 0.0011194985 0.001149485 0.0015033265 0.0131860925 0.0013733847 0.0016832459 0.0016372665 0.0033405034 0.001379382 0.0016832459 0.0012934206 0.0023129638 0.0011934653 0.0012794269 0.0021190506 0.0018291805 0.001991108 0.0013893775 0.00070568384 0.0035104274 0.0017172307 0.0020790687 0.0044879895 0.0018751599 0.0013953749 0.0011614796 0.0012614349 0.0020570785 0.0019471276 0.00147334 0.0033265096 0.0018131877 0.0021710275 0.0015213185 0.0020051016 0.0034604496 0.0025548553 0.001779203 0.006219214 0.0058513787 0.006625032 0.0023749361 0.0013713856 0.0019571232 0.0017332236 0.0013234072 0.0011374904 0.0021530355 0.0034784416 0.0020610767 0.0012734295 0.008808054 0.0022469934 0.0020810678 0.0027647614 0.0029026996 0.0029746674 0.0034044748 0.0027127846 0.0013234072 0.0030946136 0.0008436221 0.0017772039 0.0012234519 0.0030706243 0.002296971 0.002067074 0.0047558695 0.003790302 0.0011934653 0.002316962 0.0038622697 0.0057334313 0.003140593 0.0012534384 0.0030046538 0.0028027443 0.0036703558 0.0011414887 0.0023929279 0.0017072351 0.0029546763 0.0032485446 0.0023869306 0.0011354913 0.0038122921 0.003966223 0.008838041 0.008570161 0.0016052808 0.0013134116 0.007774517 0.0014333578 0.0050417413 0.00074366684 0.003890257 0.0021010588 0.001819185 0.0016572576 0.002908697 0.0020990595 0.0014033713 0.00794644 0.002296971 0.0072027734 0.0008756077 0.00079564354 0.0019171411 0.0061112624 0.0014633444 0.021122538 0.0009975531 0.0055015353 0.0007256749 0.00071767846 0.00493379 0.0007836489 0.0009275844 0.0011734742 0.0016232728 0.0012514393 0.001035536 0.00089359964 0.001397374 0.001857168 0.001647262 0.0018511707 0.002296971 0.0021270472 0.0017672083 0.0018031922 0.0017192297 0.0015413095 0.0007336713 0.0010495298 0.001051529 0.000881605 0.00087760686 0.00087160955 0.0015992835 0.0014713409 0.0011534833 0.001399373 0.0016792477 0.0014653435 0.0014473515 0.0014393552 0.0020350884 0.0015013274 0.0014473515 0.0014393552 0.0015333131 0.0013174098 0.0019651197 0.001705236 0.0022369977 0.001455348 0.0018411751 0.0015932862 0.0023909288 0.001493331 0.0021750256 0.0017072351 0.00698687 0.003926241 0.0033445016 0.004733879 0.0034764425 0.0021970158 0.00339248 0.0035144256 0.0032045643 0.0031066083 0.0016092791 0.0019091447 0.008132357 0.0013034161 0.0016772486 0.0015792925 0.0024029235 0.0024089208 0.0030346406 0.0029586744 0.00350443 0.004006205 0.0047818576 0.004957779 0.0059653274 0.0050277477 0.0038582715 0.0037243315 0.004020199 0.0038542734 0.0034024757 0.0035564068 0.005127703 0.004238101 0.0045079803 0.0040461873 0.004348052 0.0036163798 0.0028807095 0.0022949718 0.013753838 0.0036683567 0.0022909737 0.0046439194 0.0044100243 0.0017152316 0.0017152316 0.0016332683 0.003968222 0.0017832011 0.0015692969 0.0016552585 0.0022949718 0.0011894671 0.0025548553 0.001647262 0.0037843047 0.0017532145 0.0013453972 0.0011514841 0.0035923906 0.0019451285 0.015642991 0.07192378 0.008213553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037909474 0.00015540779 0.0 2.0052619e-06 0.0 0.0 0.0 5.0131544e-05 1.0026309e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00010728151 0.005557583 5.7149962e-05 5.1134175e-05 6.0157854e-06 3.0078927e-06 4.7123653e-05 0.0 2.0052619e-06 5.0131544e-05 0.0 0.0 0.0 8.4221e-05 0.0 3.0078927e-06 0.000298784 0.010482506 0.00023160774 2.4063142e-05 1.0026309e-05 8.021047e-05 1.9049987e-05 1.6042095e-05 0.00013836306 2.3060511e-05 2.3060511e-05 1.7044726e-05 6.0157854e-06 0.0001784683 6.0157854e-06 1.4036833e-05 0.0010507572 0.002884569 0.0009103889 5.8152593e-05 2.5065772e-05 3.0078927e-05 2.8073666e-05 2.105525e-05 1.3034201e-05 2.9076296e-05 6.0157854e-06 1.0026309e-05 1.9049987e-05 1.4036833e-05 1.3034201e-05 2.9076296e-05 1.6042095e-05 0.008649697 0.002653964 0.00041709444 0.00016042094 0.00015340252 0.00011730781 0.00039804447 7.619995e-05 0.00014337622 0.00012933939 9.926046e-05 7.0184165e-06 0.00012833676 0.0037628738 1.6042095e-05 0.0015681147 0.007878673 0.0010196756 0.00036295239 8.4221e-05 0.00039202868 0.00013435254 0.00064168376 0.00035894188 2.6068403e-05 2.8073666e-05 3.408945e-05 2.9076296e-05 0.000105276245 0.0037588633 1.4036833e-05 0.001559091 0.009901983 0.00010427361 0.0005364075 4.9128914e-05 0.0010607835 0.00024263668 0.0016784042 0.001290386 0.0002757235 0.00018949724 9.2242044e-05 2.8073666e-05 0.00019250513 0.0021857354 0.0015310174 0.0032284716 0.0118210185 0.00045218653 0.00049128913 0.0001945104 0.0007730284 0.00052437594 0.0017927041 0.004982073 0.0005073312 0.00020253145 0.00015641042 0.00015841569 0.00012532886 0.0068870718 0.0064328797 0.0076199947 0.019982435 0.0018628882 0.0038230317 0.0010437388 0.003381874 0.0020453671 0.0070795766 0.0083509125 0.00093645725 0.0019330723 0.0015009384 0.00085825205 0.0020423592 0.009937075 0.005690933 0.009613225 0.021437252 0.002868527 0.0014658464 0.0005855365 0.0029697928 0.0010437388 0.0038009738 0.0055014356 0.00092843623 0.003561345 0.0011831045 0.0029938559 0.002781298 0.007197887 0.0070234295 0.0106329005 0.01963452 0.0020894827 0.0047554784 0.010080451 0.0024995587 0.0018839434 0.0042822366 0.0053500384 0.0015881674 0.0063055456 0.0040426077 0.0058122515 0.008084213 0.009904991 0.009151013 0.017471846 0.027230453 0.0032405031 0.008009016 0.0026860482 0.0039754314 0.003110161 0.0048206495 0.003968413 0.0044516814 0.0024404037 0.0032114268 0.005516475 0.004568989 0.0034711082 0.005587662 0.012274208 0.04509834 0.0064038034 0.007604955 0.0059315646 0.010790314 0.0106950635 0.007072558 0.009855862 0.020272193 0.0027562324 0.0030730637 0.004563976 0.012967026 0.0040907343 0.009644306 0.01987816 0.05147106 0.010309051 0.007868648 0.009620244 0.016139349 0.01991225 0.011828037 0.013303909 0.030747682 0.0065371534 0.004338384 0.0051765833 0.01897078 0.007879676 0.016324837 0.028299257 0.007534771 0.0030419822 0.0029788164 0.0028775507 0.0031793425 0.003876171 0.0035994449 0.0029587639 0.0042601787 0.0032986556 0.0026399272 0.0026740166 0.00398245 0.002501564 0.0035944318 0.0044968 2094.0 15.031041 31475.0 0.15161239 0.0013026211 0.0015250199 0.001683876 0.0051787132 0.00082605245 0.0010802224 0.004733916 0.006290707 0.0036854646 0.0010484512 0.0013979349 0.008514694 0.0019062748 0.009849086 0.0013661636 0.008927721 0.006322478 0.0058459095 0.005115171 0.006544877 0.004733916 0.0038760921 0.005019857 0.007212073 0.0054646544 0.005655282 0.0066401907 0.006544877 0.007720413 0.0054328833 0.005528197 0.008705322 0.010420969 0.0042891186 0.010007943 0.0081652105 0.012263701 0.004416203 0.0044479747 0.0041620336 0.012708499 0.0020333598 0.0010802224 0.014233518 0.005401112 0.010293884 0.007021446 0.014932486 0.0024146147 0.012899126 0.011787132 0.022081017 0.005051628 0.0052104844 0.0062589357 0.0038125496 0.0025099285 0.0014297061 0.004892772 0.0021286735 0.005051628 0.0020015885 0.0060047656 0.0045750597 0.037839554 0.007466243 0.016552819 0.028943606 0.062494043 0.0059412234 0.008260524 0.0062589357 0.023796665 0.0045750597 0.003494837 0.017696586 0.012962669 0.026052423 0.033677522 0.010897538 0.0022557585 0.032025415 0.03164416 0.04619539 0.017633041 0.0053693405 0.0036854646 0.005242256 0.007021446 0.0020333598 0.0014932486 0.0026687847 0.0016521049 0.0012708498 0.0016203336 5.630991 1.0 0.0 0.0 4.0 500224.0 557056.0 1.0 0.0 127.0 1.0 1.0 0.0 1.0 0.0 1479120600.0 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 6.0 0.0 6.0 0.0 212992.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -214016.0 0.0 178176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6298585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.607675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1342793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.718852 0.0 5.8864374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -213773.0 0.0 177944.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 305308.0 177944.0 364544.0 0.0 0.0 0.0 0.0 9748.0 544768.0 84.0 296560.0 0.0 0.0 0.0 0.0 24.0 296740.0 64.0 296648.0 0.0 0.0 528.0 217088.0 0.0 0.0 0.0 0.0


Input: 0.0772566 0.006646319 0.0049536685 0.004630636 0.006428448 0.003787833 0.0038778998 0.0039463304 0.007537929 0.0029888055 0.0027326941 0.0030431475 0.005567531 0.003384294 0.002841881 0.0061446624 0.005975095 0.0027095485 0.0026043868 0.0027035105 0.0042869737 0.0030517012 0.0026969693 0.0027130707 0.0034190125 0.0027100516 0.0025284088 0.0027030073 0.0032640374 0.0025696685 0.002741751 0.0033581294 0.0041501126 0.0023678988 0.0027286687 0.0029762264 0.003951362 0.0025304214 0.0024096617 0.0026521876 0.0026984788 0.0023447531 0.0023004746 0.0035674465 0.0028242704 0.003010945 0.0026763396 0.002774457 0.0032705786 0.002680868 0.0026697984 0.0049898964 0.0025963362 0.0025384722 0.002468532 0.0026481622 0.0031457932 0.0028670395 0.0027734505 0.0040374035 0.0030974895 0.0030939672 0.0027437638 0.0037279562 0.004482202 0.0036600288 0.0030839038 0.0032413949 0.0032212683 0.009559649 0.0041828183 0.00343612 0.0029641504 0.004839953 0.004422325 0.0040831915 0.0044957874 0.006056105 0.002802131 0.0029621378 0.0064953687 0.0039493493 0.0028398684 0.0035679496 0.0028534539 0.0044847177 0.0043866006 0.003924191 0.002808169 0.0036982696 0.0023840002 0.0031005084 0.0029098084 0.004306597 0.003775757 0.004029856 0.0028740838 0.0035337342 0.0026028773 0.0030441538 0.0041475967 0.0040857075 0.0040187864 0.0028438938 0.0041284766 0.0034104586 0.004585351 0.0025550765 0.0033284426 0.0028056533 0.0035417848 0.0040791663 0.0035417848 0.002714077 0.0048812125 0.0041113687 0.006869221 0.007395533 0.003033084 0.0031588757 0.0034849271 0.0029480492 0.0026386022 0.0028594919 0.003105037 0.0037843108 0.0032217714 0.0032952337 0.003530212 0.003141265 0.0023819874 0.009788087 0.0035533577 0.0059353453 0.002450418 0.0027578524 0.002902261 0.007793034 0.0027870361 0.020052671 0.002717599 0.009440903 0.0025460196 0.0026099216 0.002811188 0.0023281488 0.0022063826 0.0025943236 0.0024428705 0.0024453863 0.0023920508 0.002456456 0.0026099216 0.0024398516 0.00233469 0.0024237502 0.0025968393 0.002498722 0.0026723142 0.002702001 0.0026954599 0.003123654 0.0022270123 0.002729172 0.0025681588 0.0023915477 0.0024071457 0.0024539402 0.00280515 0.0023211043 0.0023135568 0.0023900382 0.002450921 0.0024036237 0.0024921808 0.002592814 0.0029495587 0.0025726873 0.00250476 0.0024604814 0.0025153265 0.0026758364 0.002756343 0.0028796187 0.0035105885 0.0025767128 0.0024755762 0.0025676556 0.0030436506 0.0028242704 0.0029379858 0.0030275492 0.0060515767 0.0042291097 0.0038441876 0.0041264636 0.0044605657 0.0028534539 0.0044298726 0.0060485573 0.003872365 0.0031156035 0.0025792285 0.0027991121 0.010670137 0.002583254 0.0029359732 0.0032137206 0.0037304722 0.0027734505 0.002587279 0.0027030073 0.0028423844 0.0023341868 0.0026884156 0.0026697984 0.0037989027 0.0026124374 0.0024967093 0.0028282956 0.0029289287 0.002623507 0.002711561 0.0029289287 0.0034255537 0.0026637604 0.0025943236 0.002665773 0.0030768595 0.0031075526 0.0025223708 0.0026612445 0.0103335185 0.0040927515 0.0025203582 0.00428798 0.0049078804 0.0025435037 0.002619985 0.003016983 0.004706614 0.0031729643 0.002811188 0.0028952167 0.0037098422 0.0026999884 0.003611725 0.003497003 0.005206761 0.003424044 0.0036705954 0.0033510851 0.0064646755 0.004033378 0.004582332 0.028311133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002062919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004318733 1.3850165e-05 1.41019855e-05 5.0364235e-07 1.082831e-05 9.569205e-06 8.813741e-06 6.7991714e-06 2.5182117e-06 5.0364235e-07 3.5254964e-06 7.5546353e-07 7.5546353e-07 2.5182117e-06 1.2591058e-06 7.554635e-06 0.00038856006 6.7991714e-06 9.569205e-06 7.806456e-06 2.9966719e-05 1.2591058e-05 3.9284103e-05 1.6872018e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2809597e-06 0.003147513 0.00013724253 0.00019944237 3.223311e-05 0.00017778574 4.986059e-05 0.00040190658 0.00022185445 4.734238e-05 4.457235e-05 5.1119696e-05 1.8886587e-05 2.0145693e-05 3.047036e-05 2.0901158e-05 0.0005560212 0.01400302 0.00033089303 0.0006496986 0.00024124468 0.001813616 0.00035884517 0.0013104774 0.00089169876 0.00017023111 0.00026416042 9.594387e-05 0.00011558592 7.8568206e-05 0.00019667234 0.00010576489 0.0015499593 0.011073081 0.00026567135 0.0008247143 0.00046234368 0.0014809603 0.0005444374 0.0019961863 0.0012943608 0.00015411456 0.00017149022 6.345894e-05 7.655364e-05 9.7706616e-05 0.00015688459 5.9933438e-05 0.000875834 0.0062519643 0.00025358392 0.0006086518 0.00049382134 0.0017063402 0.0005910243 0.0029523515 0.0016804027 0.00019919054 0.00012238508 6.925082e-05 6.622897e-05 9.065562e-05 7.982731e-05 9.3677474e-05 0.00021253707 0.0042310995 0.00017854122 0.000556273 0.00044597528 0.0014164941 0.0005799442 0.0025693313 0.0015816888 0.00012767334 0.00011080132 7.126539e-05 8.56192e-05 7.781274e-05 7.655364e-05 6.874718e-05 0.00019969419 0.0018017804 0.00014958177 0.00013094701 0.00014857449 0.00035859336 0.00017980032 0.00028455793 0.0001795485 0.00020976704 6.874718e-05 5.7667046e-05 6.2955296e-05 0.00018458492 5.565248e-05 0.000103750324 0.00014932995 0.004028887 0.0004877776 0.0004744311 0.00077963836 0.0012999009 0.00075218984 0.0010704919 0.00081690785 0.0023963302 0.0002961417 0.00023948193 0.00033869946 0.0012492848 0.0003213238 0.0007078693 0.0027911859 0.04442881 0.0075103147 0.004580879 0.006005935 0.016379204 0.0131231565 0.005713319 0.0093538975 0.030704051 0.0018471082 0.0027166468 0.0032691425 0.021040414 0.0040082377 0.011036063 0.023543265 0.019790879 0.0045237155 0.0028380246 0.0037929304 0.008053745 0.0076823086 0.0031930925 0.006268836 0.014537888 0.0013361631 0.0015295618 0.00245576 0.007965355 0.0028221598 0.006254734 0.012163718 0.036149684 0.03622196 0.03511445 0.036978178 0.03481629 0.035681047 0.036088742 0.038782224 0.035914987 0.035725366 0.03550477 0.037825555 0.037069336 0.03754981 0.038633395 0.041423324 6588.0 8.804949 58007.0 0.019963108 0.006016515 0.005464858 0.0055165756 0.013084628 0.0058786008 0.0051200716 0.0067060874 0.0056200116 0.005602772 0.004964918 0.0061371904 0.0057579256 0.0063785403 0.009998794 0.0057924045 0.0068957196 0.006102712 0.007033634 0.006361301 0.005809644 0.005706208 0.00589584 0.0064302585 0.0060854726 0.006981916 0.007688727 0.0064992155 0.006740566 0.0061371904 0.0060854726 0.014412054 0.033271845 0.010619408 0.005447618 0.008412777 0.008998914 0.006654369 0.008016274 0.0069646765 0.0056200116 0.006585412 0.0062406263 0.00565449 0.0071370695 0.005826883 0.005430379 0.006344062 0.011446894 0.0067750444 0.006740566 0.009843639 0.006930198 0.008050753 0.013377695 0.01106763 0.0058613615 0.0064819762 0.0056717293 0.0058441223 0.006068233 0.0062233866 0.006826762 0.01891151 0.006568173 0.028806869 0.012257141 0.020376852 0.019152861 0.036754183 0.009567811 0.010653887 0.010653887 0.027738031 0.0076025305 0.0062233866 0.021307774 0.01253297 0.024462566 0.037909217 0.014791318 0.0059130793 0.030823866 0.028358646 0.039908975 0.013170824 0.009223024 0.006826762 0.008792043 0.009843639 0.0061371904 0.0058613615 0.006568173 0.0055855326 0.0065164547 0.0068957196 6.275264 1.0 1.0 0.0 18.0 1987416.0 5754880.0 1.0 0.0 153.0 0.0 1.0 0.0 1.0 0.0 1538475000.0 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 15.0 6.0 0.0 6.0 0.0 627200.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -627200.0 0.0 4886016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.049049 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.545573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5792837 0.0 7.991616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -626732.0 0.0 4885564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 801716.0 4885564.0 831488.0 0.0 0.0 9160.0 5737984.0 34440.0 5718016.0 112.0 736336.0 0.0 0.0 0.0 0.0 24.0 736608.0 64.0 736448.0 0.0 0.0 632.0 634880.0 0.0 0.0 0.0 0.0


Input: 0.12609461 0.0041494966 0.0045286743 0.003691621 0.0034984546 0.004070799 0.0034555288 0.003248054 0.00334106 0.0034483746 0.0031908196 0.0031908196 0.0034769918 0.003319597 0.0034054487 0.003248054 0.0037989353 0.003083505 0.003577152 0.003369677 0.003434066 0.0039921016 0.0034913004 0.003362523 0.0036558493 0.0034626832 0.002940419 0.0035986148 0.0032051282 0.003434066 0.0035270718 0.0030978136 0.0035127632 0.002890339 0.0030763508 0.0029761905 0.0033339057 0.0033982943 0.0031407394 0.0035986148 0.0028760303 0.0033482143 0.0033768315 0.0032766713 0.0041065705 0.0034269115 0.003555689 0.0034269115 0.0033339057 0.0035485348 0.0032766713 0.0032194369 0.00334106 0.0037917811 0.003083505 0.0034054487 0.0035485348 0.00334106 0.0034269115 0.0031836652 0.0033982943 0.003226591 0.0033482143 0.0029261103 0.005623283 0.0035199176 0.004614526 0.003484146 0.0034054487 0.003412603 0.0036415407 0.0034483746 0.0035914606 0.0032623627 0.0032337455 0.0032051282 0.0036844665 0.0032408996 0.0031622024 0.0033124427 0.00508671 0.0033982943 0.0035699976 0.0039134044 0.003648695 0.0035914606 0.003319597 0.0038275525 0.0032051282 0.0033839857 0.0032122824 0.0030191164 0.0035127632 0.0035628434 0.0033768315 0.003741701 0.0029976533 0.0037846267 0.0031979738 0.0034698374 0.0033339057 0.004514366 0.0032838255 0.0033052885 0.004492903 0.0037846267 0.0032051282 0.003298134 0.003970639 0.0033839857 0.0043140454 0.0040564905 0.003691621 0.0033839857 0.0041208793 0.0038203984 0.0042639654 0.0038561698 0.0035413804 0.003362523 0.0032051282 0.0035628434 0.0034197574 0.0034269115 0.0032194369 0.003369677 0.003834707 0.0031836652 0.0033052885 0.0036701579 0.0031407394 0.0033839857 0.0029261103 0.0034698374 0.0033124427 0.00334106 0.0035199176 0.0032766713 0.003226591 0.0034913004 0.0031979738 0.004113725 0.0032766713 0.0032194369 0.0028831845 0.0030763508 0.0032552083 0.003226591 0.0032695169 0.0031264308 0.0033339057 0.0033482143 0.0031693566 0.0032408996 0.0030691964 0.0033267513 0.0032838255 0.0031908196 0.003011962 0.0034412201 0.0036415407 0.003033425 0.0032122824 0.0029761905 0.0032695169 0.0031478938 0.0031192766 0.0031836652 0.0034054487 0.0036630037 0.0033267513 0.0032695169 0.003176511 0.0031335852 0.0031693566 0.0032623627 0.0033052885 0.0031979738 0.0033052885 0.003011962 0.0033482143 0.0032766713 0.0033339057 0.0031908196 0.0048577725 0.0032408996 0.0034483746 0.0033267513 0.003362523 0.0030691964 0.003083505 0.0033267513 0.0033839857 0.0034054487 0.0030262705 0.0046717604 0.003226591 0.0032766713 0.0032552083 0.0031622024 0.0032552083 0.0031908196 0.0030906594 0.0032766713 0.0029118017 0.0030191164 0.0035628434 0.0031121222 0.0039420216 0.0036415407 0.0034054487 0.0031908196 0.0030048077 0.0030405791 0.0034483746 0.003763164 0.0030763508 0.0030477336 0.0031335852 0.0032051282 0.0031908196 0.0033124427 0.003298134 0.003248054 0.004757612 0.003369677 0.003741701 0.0036773123 0.003412603 0.0034984546 0.0030763508 0.0032838255 0.00390625 0.00329098 0.0032051282 0.003720238 0.0036558493 0.0035413804 0.0035270718 0.003770318 0.002890339 0.0031335852 0.0030978136 0.003319597 0.0029761905 0.0033124427 0.0029833447 0.0029332647 0.0031979738 0.0034054487 0.0032194369 0.0040350277 0.003248054 0.003555689 0.002918956 0.005780678 0.051790364 7.233796e-06 3.616898e-06 7.233796e-06 3.616898e-06 3.616898e-06 3.616898e-06 0.0 2.170139e-05 3.616898e-06 7.233796e-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 0.0067346646 5.4253473e-05 0.000101273145 2.170139e-05 8.318866e-05 5.787037e-05 0.00014105903 7.957176e-05 4.340278e-05 3.616898e-06 3.616898e-06 2.5318286e-05 2.170139e-05 7.233796e-06 1.0850695e-05 1.808449e-05 0.0064887153 7.233796e-06 7.5954864e-05 0.00011574074 0.00011574074 4.340278e-05 0.0003616898 0.00016637731 3.616898e-06 0.0 1.0850695e-05 7.233796e-06 0.0 3.616898e-06 3.616898e-06 3.616898e-06 0.005881076 1.4467592e-05 2.170139e-05 2.170139e-05 0.00023148148 0.000112123846 0.00070891203 0.00036892362 3.2552085e-05 3.616898e-06 0.0 7.233796e-06 3.616898e-06 0.0 0.0 0.0 0.011859809 0.000101273145 0.00017722801 0.00011574074 0.00018446181 0.00024233217 0.00064019096 0.00047743056 0.00015190973 0.00014105903 9.403935e-05 0.000101273145 8.680556e-05 0.0001808449 0.00013744213 0.00012297454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054542823 0.00015190973 0.00015190973 9.765625e-05 0.00033637154 0.00014105903 9.042245e-05 3.2552085e-05 0.000112123846 1.0850695e-05 3.978588e-05 0.00015914351 0.00016637731 1.4467592e-05 0.00022786458 0.00022063078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030418113 0.00020978009 5.4253473e-05 6.510417e-05 0.00053891784 0.00044126157 0.0018482349 0.0010380498 4.7019676e-05 1.808449e-05 7.233796e-06 2.5318286e-05 2.170139e-05 2.170139e-05 1.4467592e-05 1.4467592e-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 0.014435041 0.0011791087 0.0011212385 0.00088252313 0.0026909723 0.0010018807 0.00069082755 0.00015552662 0.0007993345 0.00024233217 0.000213397 0.0012225115 0.0013708044 0.00017361112 0.0016782407 0.0017722801 0.0063114874 0.0005533854 0.00061487267 0.00053530093 0.001244213 0.00089337386 0.0005461516 0.00030381946 0.00063295715 0.000249566 0.000213397 0.00047743056 0.0005533854 0.00022424769 0.0005967882 0.00086443865 0.0049153646 0.001421441 0.00064019096 0.00051359955 0.0005823206 0.0009729456 0.0007523148 0.00054253475 0.0007957176 0.0005714699 0.00050998264 0.00048104746 0.000531684 0.00046296295 0.0005497685 0.0005714699 0.0037217883 0.0009729456 0.00052083336 0.00053891784 0.0007957176 0.001099537 0.0016637732 0.0012839988 0.0006221065 0.0005027488 0.00047019677 0.000531684 0.00043041087 0.00051359955 0.0005750868 0.0005714699 0.052079715 0.050907843 0.05018808 0.050868057 0.051378038 0.05283203 0.050701678 0.053038195 0.051161025 0.05007234 0.05096933 0.051204428 0.050206162 0.05192419 0.054264322 0.050426792 630.0 6.7619047 4260.0 0.007746479 0.0063380282 0.005868545 0.005868545 0.00915493 0.008215962 0.005164319 0.0075117373 0.005868545 0.0068075117 0.0070422534 0.0061032865 0.010093897 0.008215962 0.010328638 0.00798122 0.0063380282 0.009859155 0.0070422534 0.00657277 0.00915493 0.008215962 0.0049295775 0.00798122 0.00657277 0.0049295775 0.0061032865 0.0063380282 0.008920188 0.0070422534 0.0061032865 0.007746479 0.00798122 0.015023475 0.008685446 0.012441315 0.008685446 0.010093897 0.015492958 0.00915493 0.00798122 0.00915493 0.00657277 0.0070422534 0.0110328635 0.009859155 0.0061032865 0.00915493 0.008215962 0.00657277 0.0093896715 0.018075118 0.014788732 0.009624413 0.008450705 0.014788732 0.00798122 0.00657277 0.005399061 0.005164319 0.008215962 0.005868545 0.0068075117 0.008685446 0.008450705 0.024413146 0.008685446 0.016431924 0.012910798 0.045305163 0.00798122 0.01314554 0.01173709 0.020422535 0.008215962 0.008685446 0.02488263 0.013849765 0.020892018 0.01971831 0.017840376 0.0093896715 0.026760563 0.021361502 0.028638497 0.016666668 0.01056338 0.008450705 0.009859155 0.010093897 0.00798122 0.0068075117 0.007746479 0.0075117373 0.007746479 0.0056338026 6.395145 0.0 0.0 0.0 3.0 139776.0 151552.0 1.0 0.0 67.0 0.0 1.0 0.0 0.0 0.0 1462002200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 10752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116736.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9943967 -1.4523298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8319798 0.0 0.86091244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116726.0 -3391.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8696.0 0.0 5416.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 135464.0 5416.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 14408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 548.0 20480.0 256.0 768.0 0.0 0.0


Input: 0.075369194 0.006846476 0.005764529 0.004167955 0.003965968 0.003574289 0.0032844818 0.0035567249 0.004754595 0.0037130453 0.003444315 0.0043910183 0.004117019 0.0036041478 0.003091277 0.0046913642 0.0043576467 0.0033336612 0.0031755846 0.004297929 0.0037060196 0.0034934944 0.0031720717 0.0032458408 0.0034460712 0.0032107127 0.0031668025 0.002945495 0.0034653917 0.0033600072 0.0031896357 0.0030807385 0.0041784933 0.0034987635 0.0030754693 0.0032370589 0.009632138 0.0032739434 0.0033670329 0.0031755846 0.0036023916 0.0031668025 0.0030157515 0.0036164427 0.0037446604 0.0029542772 0.0031527511 0.003043854 0.003698994 0.0033002894 0.0033477126 0.004090673 0.0036761607 0.0034689046 0.0038096476 0.0034689046 0.003888686 0.0037833015 0.003224764 0.0039519165 0.0036410324 0.0035813146 0.0031703154 0.0033441996 0.0036234683 0.0054694526 0.0038096476 0.004712441 0.0051673506 0.0046913642 0.0036831864 0.0039729937 0.0035426738 0.0032405716 0.0030069693 0.0030508796 0.0040678396 0.0036498145 0.0030157515 0.0033529818 0.004289147 0.0033441996 0.0036234683 0.0041205315 0.0036638658 0.0035426738 0.004362916 0.0036568402 0.0033512253 0.003790327 0.0031193795 0.0037429042 0.003186123 0.0037042631 0.0034829557 0.0036322505 0.003909763 0.003820186 0.0031738281 0.0032827253 0.0035707762 0.004250506 0.0033881098 0.0034004047 0.003547943 0.0044366852 0.0036550837 0.0034004047 0.0036831864 0.0032159819 0.0036375197 0.0035637505 0.003855314 0.0029981874 0.004134583 0.0034390457 0.0059594903 0.0052938117 0.003509302 0.0031615333 0.0036831864 0.0031703154 0.002810252 0.0030122385 0.003561994 0.0037833015 0.0030227771 0.0030508796 0.0034091866 0.0034741738 0.003103572 0.005355286 0.0055607855 0.003915032 0.0030104823 0.0028875337 0.0041310703 0.0073663727 0.0035584813 0.008790819 0.003983532 0.004255775 0.0033125842 0.002978867 0.003444315 0.0032159819 0.0030403412 0.0032844818 0.0037955963 0.0032915075 0.0029542772 0.0031720717 0.0034689046 0.004176737 0.0030333155 0.0029648156 0.0031790973 0.0029613029 0.0029911618 0.0032405716 0.0031105974 0.0034917379 0.0031105974 0.0033564945 0.0030227771 0.0029068543 0.002927931 0.0034285071 0.0029806234 0.003272187 0.0030385847 0.0029929182 0.0031545076 0.0031457257 0.0031545076 0.0032142254 0.0036094172 0.0032142254 0.0032282767 0.0030368282 0.0034917379 0.0032739434 0.0033740585 0.0030280463 0.003268674 0.0030807385 0.0032265203 0.0029946745 0.003458366 0.0032739434 0.0031334308 0.0029771104 0.004241724 0.0039115194 0.0031228922 0.003751686 0.0036585967 0.0030947898 0.00343202 0.004875787 0.0036937247 0.0035005198 0.0029858926 0.0030930333 0.003665622 0.0031720717 0.003165046 0.0030895206 0.003707776 0.0032072 0.0034355328 0.0032704305 0.0032844818 0.0033319048 0.0036831864 0.0032265203 0.0033178534 0.003186123 0.0032475973 0.0032072 0.003186123 0.0032458408 0.0031966614 0.0030930333 0.0033494688 0.0030737128 0.0031668025 0.0033564945 0.0033301483 0.004696633 0.0033687893 0.0032862383 0.005492286 0.003669135 0.0031597768 0.0036884556 0.004048519 0.0030157515 0.0030210207 0.0029384696 0.0033512253 0.0030930333 0.003129918 0.0032300332 0.003595366 0.0032107127 0.0034530968 0.0034548533 0.004057301 0.003238815 0.0036023916 0.0031966614 0.0038974679 0.0034390457 0.003867609 0.011732801 0.012570383 3.5191442e-06 1.7595721e-06 2.6393582e-06 0.0 3.5191442e-06 2.6393582e-06 4.3989303e-06 1.7595721e-06 2.6393582e-06 1.7595721e-06 3.5191442e-06 2.6393582e-06 0.0 6.1585024e-06 5.2787163e-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 0.0049487962 1.7595721e-05 2.8153154e-05 0.00010469454 9.061796e-05 4.1349944e-05 1.1437219e-05 1.6715934e-05 2.9032939e-05 1.2317005e-05 8.797861e-06 2.7273367e-05 6.1585024e-06 8.797861e-06 1.7595721e-05 3.607123e-05 0.0032059404 4.926802e-05 2.7273367e-05 6.1585024e-06 6.422438e-05 2.6393582e-05 5.8065878e-05 3.607123e-05 1.7595721e-05 7.0382885e-06 1.8475506e-05 1.6715934e-05 1.5836149e-05 1.3196791e-05 1.6715934e-05 2.463401e-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 0.005786353 0.000106454114 0.00014340512 5.0147803e-05 0.00025601772 0.00012932855 0.00017155828 9.853604e-05 9.237754e-05 1.9355293e-05 3.2552085e-05 9.765625e-05 9.9415825e-05 1.9355293e-05 4.3109514e-05 6.158502e-05 0.0040654913 4.0470157e-05 8.7098815e-05 3.8710587e-05 0.00033871763 0.0001319679 7.126267e-05 5.3666947e-05 4.3109514e-05 2.6393582e-05 2.3754223e-05 0.00010469454 0.00012141047 0.0001697987 3.607123e-05 5.2787163e-05 0.0024211712 4.1349944e-05 9.41371e-05 6.686374e-05 0.00021818693 0.00018739443 0.00016803913 9.325732e-05 5.102759e-05 4.5748875e-05 3.78308e-05 4.926802e-05 2.7273367e-05 2.8153154e-05 4.1349944e-05 3.2552085e-05 0.00072318414 7.0382885e-06 5.2787163e-06 6.1585024e-06 0.00015044342 8.18201e-05 0.00052699185 0.00026657517 3.5191442e-06 8.7978606e-07 4.3989303e-06 1.7595721e-06 1.0557433e-05 5.2787163e-06 6.1585024e-06 1.7595721e-06 0.0063784486 0.00025601772 0.00064224383 0.0006554406 0.0009563274 0.00057186093 0.0031478745 0.0017525338 0.00035015485 0.00015572213 0.00012404982 0.00014076577 0.00023754223 0.00031584318 0.00014780405 0.0003835867 0.003556975 0.00020674971 0.000176837 0.0006756757 0.00031848255 0.00016452 0.00033871763 0.00022170608 0.0001258094 0.000201471 0.00015572213 0.00014956362 0.00014428492 0.0001574817 0.00017859657 0.0004346143 0.0054661105 0.00046980573 0.00053842907 0.0029745565 0.0007451788 0.00051203545 0.0009237753 0.00068359374 0.000629047 0.0004847621 0.00039238457 0.00045133024 0.0005111557 0.0005463471 0.0004530898 0.0004346143 0.0018097198 0.00015660192 0.00031056447 0.00012932855 0.00029472832 0.0001829955 0.000896502 0.00050587696 0.0001328477 0.00012932855 0.00012053068 0.00012668919 0.00012404982 0.00013636684 0.00012844877 0.00022082629 0.0133533925 0.0017507742 0.0044024494 0.0019267314 0.0041675465 0.0030862894 0.0016689542 0.0028461078 0.00884097 0.0009897593 0.0007135065 0.0012704111 0.0032956784 0.0011604378 0.0025381828 0.0056464667 0.023708474 0.00481155 0.0067981067 0.004308312 0.009117222 0.0071570594 0.004158749 0.0060538077 0.0128527945 0.0034118101 0.0023859798 0.003022065 0.006048529 0.0031901042 0.006480504 0.010008446 0.048968893 0.046809897 0.046567954 0.046601385 0.04542775 0.046434227 0.045856208 0.04589756 0.04604272 0.046816934 0.046378803 0.04629346 0.045901075 0.047167968 0.046662092 0.046317216 2772.0 7.319625 20290.0 0.017299162 0.0065056677 0.006357812 0.0067520947 0.009167077 0.0059142434 0.0055199605 0.00680138 0.007392804 0.006259241 0.0052242484 0.0066042384 0.007737802 0.0064563826 0.008526368 0.006012814 0.011039921 0.009167077 0.009019221 0.0096106455 0.011729917 0.009659931 0.00956136 0.010448497 0.0112370625 0.010596353 0.0080828 0.007836373 0.007639231 0.0077870875 0.006653524 0.0077870875 0.007343519 0.011532775 0.007491375 0.0112370625 0.010793494 0.009068507 0.01084278 0.013356334 0.008329227 0.009167077 0.005322819 0.005322819 0.0087235095 0.008427797 0.0065056677 0.015278462 0.012962051 0.006407097 0.009068507 0.020453425 0.009413504 0.006949236 0.013997043 0.014933465 0.013849187 0.0062099556 0.006012814 0.005963529 0.005963529 0.006111385 0.005717102 0.00542139 0.022079842 0.019960571 0.0075406604 0.013997043 0.014391325 0.037999015 0.009758501 0.008772794 0.00956136 0.023656974 0.006702809 0.0067520947 0.01838344 0.011877772 0.020601282 0.022178413 0.011631345 0.00680138 0.022621982 0.015229177 0.03292262 0.013307048 0.006949236 0.0065056677 0.010596353 0.009364218 0.0062099556 0.0058649583 0.0068999506 0.013898472 0.0053721047 0.007047807 6.4107757 0.0 0.0 0.0 10.0 569344.0 581632.0 0.0 0.0 224.0 1.0 1.0 0.0 0.0 0.0 966225150.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 5.0 0.0 5.0 0.0 86016.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 -86016.0 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 -5.919079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8683777 0.0 0.0 0.0 0.0 0.0 0.0 -7.9977727 0.0 0.0 0.0 7.9902434 0.0 0.0 0.0 0.0 0.0 0.0 -5.527942 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.991079 -6.670318 0.0 2.9556713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98265.0 0.0 0.0 0.0 0.0 0.0 0.0 -113386.0 0.0 0.0 0.0 120883.0 0.0 0.0 0.0 0.0 0.0 0.0 -32228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108797.0 -83434.0 0.0 3838.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 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 -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 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 1.0 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 182004.0 3280.0 569344.0 0.0 0.0 0.0 0.0 4296.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 944.0 90112.0 0.0 0.0 0.0 0.0