Input: 0.063509546 0.014328139 0.010720078 0.00597782 0.0068161394 0.004958687 0.007131194 0.0049696453 0.004246389 0.004158722 0.0072517367 0.004213514 0.0033039649 0.0034765599 0.0038217502 0.003635457 0.0037313432 0.004303921 0.003997085 0.0036272383 0.0037724373 0.003734083 0.0037833957 0.0038190107 0.0032902667 0.0033450588 0.0035998423 0.003553269 0.0033176627 0.0031943806 0.0034929975 0.003923116 0.0045011723 0.0038327088 0.003413549 0.003358757 0.003232735 0.0033423193 0.0031806824 0.00326835 0.004254608 0.0033423193 0.0039724284 0.0031916408 0.0038436672 0.00326835 0.004358713 0.0031752032 0.0045641833 0.0046545905 0.0048682797 0.00396421 0.0036929888 0.0037587394 0.0035998423 0.003947772 0.0034656015 0.0034738204 0.0037176453 0.0031560261 0.0031121923 0.0035943629 0.0033149233 0.0033012251 0.0034984767 0.0040354393 0.004649111 0.0041340655 0.0039176363 0.0037642187 0.003712166 0.0032382142 0.0036601136 0.0039943457 0.0035231332 0.0032573915 0.0033423193 0.003525873 0.0033477985 0.0032738291 0.0036820304 0.0033697153 0.0037286037 0.0039806473 0.0037943542 0.0032765686 0.0035368314 0.003246433 0.0032108182 0.00326835 0.003323142 0.0031834221 0.0033806737 0.0030930152 0.0032217766 0.003914897 0.0030546605 0.005062792 0.0037532602 0.0040710545 0.0037998334 0.0066079297 0.0036025818 0.0040491377 0.0035751858 0.004887457 0.003350538 0.0035505292 0.0042765248 0.004271046 0.0054134615 0.008753041 0.003997085 0.003462862 0.005194293 0.0054764724 0.0074407696 0.0050792294 0.003413549 0.0036327175 0.0035231332 0.0039313347 0.0035888837 0.004227212 0.0036190194 0.003553269 0.0033560172 0.003114932 0.003391632 0.0034847788 0.0032984857 0.0032738291 0.0030217853 0.003205339 0.002898503 0.003024525 0.00354505 0.0033286212 0.003219037 0.0034929975 0.0032546518 0.003287527 0.003177943 0.0032847875 0.003051921 0.00326835 0.0033888926 0.0033149233 0.003427247 0.0034053302 0.003150547 0.0032162974 0.0032162974 0.0030656192 0.0032162974 0.0031806824 0.003509435 0.0033450588 0.0031478072 0.0032793083 0.0033971113 0.0032080784 0.0032436934 0.0032354747 0.0034080697 0.003350538 0.0033450588 0.0033121835 0.003364236 0.0034464244 0.0033341004 0.0031916408 0.0032491726 0.0033204025 0.0030738378 0.0034190281 0.0030847962 0.0034217678 0.0031834221 0.0030354834 0.0033204025 0.0033012251 0.0031861616 0.003462862 0.0033423193 0.0032354747 0.0033012251 0.0037012077 0.0032436934 0.0033012251 0.0032080784 0.0032546518 0.0029423367 0.0031943806 0.0033450588 0.0035313522 0.0036190194 0.0030984944 0.0032519123 0.0031834221 0.0029834309 0.0033286212 0.0032847875 0.003295746 0.00292042 0.003232735 0.00319712 0.0032573915 0.0031395885 0.0030656192 0.0032382142 0.0032491726 0.0032656102 0.0035203935 0.0034519036 0.0034710807 0.0029861706 0.00326835 0.0035066956 0.0034738204 0.0035340916 0.0031395885 0.0033176627 0.0032299955 0.0030957547 0.0034108094 0.003309444 0.003169724 0.0032272558 0.0033834134 0.0032382142 0.0031395885 0.0030930152 0.0032025992 0.0031532864 0.0033039649 0.0029587743 0.0031998598 0.0031998598 0.0030984944 0.0032491726 0.0040765335 0.003232735 0.003232735 0.0031012339 0.0033313609 0.0032108182 0.0032546518 0.0031724637 0.00319712 0.0030902755 0.0031889013 0.003051921 0.0031478072 0.0033313609 0.0040628356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011412027 0.00059694104 0.00085414835 0.0006533341 0.00093805016 0.0006327025 0.0036999339 0.0028705436 0.00018430898 0.00035073725 4.9515846e-05 3.9887764e-05 2.8884242e-05 3.163512e-05 2.4757923e-05 0.0001678037 0.02058071 0.002081041 0.0012984155 0.00088990974 0.0020163953 0.001112731 0.0067699165 0.0051634023 0.00066571304 0.00042776187 0.0002847161 0.00028884242 0.00023244938 0.00026133363 7.977553e-05 0.00010040713 0.02357642 0.0028347822 0.0020714127 0.0025198064 0.0017289283 0.001265405 0.0040479205 0.0032089017 0.00046489877 0.0007963798 0.0005529269 0.000459397 0.0004043794 0.00041263204 0.00033973373 0.0003864987 0.0060491855 0.0007234815 0.00039200045 0.00042638645 0.0004318882 0.0002737126 0.00048140404 0.00035898987 0.00040162852 0.00014992297 0.00019943881 0.00035761442 0.0003356074 0.0001609265 0.00017605633 0.0003493618 0.009289723 0.0010962258 0.0008445202 0.0016725352 0.0010604643 0.000712478 0.0024579116 0.0019256162 0.00050616194 0.00032322842 0.0003699934 0.00054604973 0.00039200045 0.00046214787 0.000287467 0.00058868836 0.0012378962 0.00012241417 9.765625e-05 0.00029021787 9.903169e-05 7.152289e-05 9.215449e-05 8.252641e-05 0.00010178257 0.00011278609 9.490537e-05 8.9403606e-05 8.6652726e-05 7.427377e-05 7.289833e-05 9.077905e-05 0.010247029 0.0013479313 0.001253026 0.0020947952 0.0012997909 0.0010989767 0.0016725352 0.0013272997 0.000884408 0.0010357064 0.000965559 0.0009421765 0.00088578346 0.0009971941 0.0009050396 0.0012117628 0.002393266 0.0004043794 0.00043051277 0.00053642166 0.0004552707 0.00040988115 0.0006877201 0.000459397 0.00034798635 0.00034110915 0.00038512325 0.0003012214 0.00033285652 0.00030947404 0.00031772666 0.00033835828 0.06612841 0.049367297 0.05031085 0.051115483 0.050924297 0.049719412 0.052314866 0.051350683 0.04866582 0.04879924 0.05013892 0.04970428 0.04911284 0.050295718 0.04911284 0.04984045 2350.0 9.896596 23257.0 0.010835447 0.0048157545 0.0041277893 0.0043427786 0.0057617063 0.004256783 0.0043857764 0.004643763 0.0043857764 0.0057187085 0.0047727567 0.0048587522 0.009244529 0.0041277893 0.018145075 0.0030958422 0.01840306 0.016511157 0.02648665 0.012297373 0.009545513 0.011093434 0.006406673 0.00941652 0.007911596 0.00765361 0.007782603 0.0033968268 0.0036118159 0.009674506 0.003826805 0.0043857764 0.003955798 0.012340371 0.014834244 0.015479211 0.011738401 0.0074386206 0.0087285545 0.0049877455 0.0057187085 0.007997592 0.0054607214 0.0056757107 0.0061486866 0.00705164 0.0047727567 0.0057617063 0.009846498 0.0064926688 0.007137636 0.0129853375 0.010491465 0.006922647 0.0072236317 0.005546717 0.005202735 0.005331728 0.0048157545 0.0034398246 0.004471772 0.0043427786 0.0041707875 0.015780196 0.0032248355 0.025411705 0.011437417 0.016898138 0.013071333 0.053231284 0.010620458 0.013931289 0.008642559 0.0274756 0.005847702 0.009287526 0.01999398 0.016339166 0.02979748 0.0294105 0.009932494 0.004729759 0.027002623 0.026314657 0.05469321 0.026099669 0.0072666295 0.008126586 0.006234682 0.013759298 0.004600765 0.003783807 0.0040417938 0.0032678333 0.0038698027 0.0034398246 6.1760798 1.0 0.0 0.0 8.0 365016.0 393216.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1541520900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 361984.0 512.0 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 -361984.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.801733 0.0 3.138761 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 -361868.0 0.0 904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 369892.0 904.0 376832.0 0.0 0.0 984.0 364032.0 12.0 385024.0 28.0 369580.0 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: 0.6475966 0.005560981 0.0034450954 0.0035536024 0.0035807292 0.0010036892 0.000515408 0.0013020834 0.004638672 0.0011121961 0.0012478299 0.00086805556 0.0023600261 0.000922309 0.0006781684 0.0020073785 0.005343967 0.016737197 0.000922309 0.0007052951 0.001030816 0.0014919705 0.00043402778 0.00040690103 0.0010036892 0.0012207031 0.00027126737 0.00032552084 0.0011121961 0.0008409288 0.0010036892 0.00040690103 0.0022515191 0.00043402778 0.00035264756 0.0004611545 0.0018988715 0.0030653211 0.000108506945 0.00013563369 0.0013292101 0.000922309 0.000922309 0.00043402778 0.0014919705 0.0007595486 0.0012749566 0.0005967882 0.0019259983 0.0017903646 0.0021158855 0.0032823351 0.0030110676 0.0018988715 0.001546224 0.0020887586 0.0027940539 0.0011393229 0.0007866754 0.0017903646 0.002061632 0.0008409288 0.00056966144 0.0011664496 0.0026312934 0.0018717448 0.001437717 0.0018988715 0.0027398004 0.005560981 0.0010579427 0.0011393229 0.0022243923 0.0014919705 0.00062391494 0.001030816 0.001437717 0.0030110676 0.0011393229 0.0014105903 0.003092448 0.0013292101 0.0019259983 0.0029296875 0.0020073785 0.0022515191 0.0017361111 0.0030381945 0.00081380206 0.0004611545 0.00016276042 0.00043402778 0.00094943575 0.0007595486 0.00048828125 0.006700304 0.0012478299 0.00523546 0.002875434 0.0010036892 0.00390625 0.006591797 0.0009765625 0.0010036892 0.003092448 0.0021158855 0.0036621094 0.00040690103 0.0033365886 0.0015190972 0.0025499132 0.0023328993 0.0017089844 0.0002983941 0.00390625 0.0017632379 0.0049913195 0.001844618 0.0034450954 0.00048828125 0.0010036892 0.0005967882 0.00018988716 0.00018988716 0.0006510417 0.0003797743 0.00016276042 0.000108506945 0.0031467015 0.0006781684 0.00024414062 0.0018717448 0.00062391494 0.000922309 0.0004611545 0.00013563369 0.0007052951 0.0042588976 0.000108506945 0.0073513454 0.0010036892 0.0012207031 0.000108506945 0.00016276042 0.0035807292 0.0002983941 0.00021701389 0.00013563369 0.000515408 0.00024414062 0.00040690103 0.0 0.0007866754 5.4253473e-05 0.000108506945 2.7126736e-05 0.000515408 0.00032552084 0.00016276042 2.7126736e-05 0.000922309 0.0011121961 0.00013563369 0.00016276042 0.0007052951 0.00024414062 0.00013563369 0.0002983941 0.0006510417 0.000108506945 0.00024414062 5.4253473e-05 0.00056966144 0.00024414062 0.0 0.00016276042 0.0008951823 0.00035264756 8.138021e-05 0.000108506945 0.0006781684 0.0007866754 0.00018988716 0.00016276042 0.0017361111 0.00035264756 0.00032552084 0.0002983941 0.0006781684 0.00035264756 0.000108506945 0.00021701389 0.001546224 0.00021701389 0.00043402778 0.00021701389 0.0010850695 5.4253473e-05 0.00018988716 0.0022786458 0.0012207031 0.00027126737 0.000515408 0.00018988716 0.001546224 0.00024414062 0.00024414062 8.138021e-05 0.0010579427 0.000108506945 5.4253473e-05 0.00027126737 0.0007595486 2.7126736e-05 0.00032552084 0.00035264756 0.0006781684 0.00016276042 0.00021701389 0.00032552084 0.001546224 0.00043402778 0.00024414062 0.00013563369 0.0016004774 0.0002983941 2.7126736e-05 5.4253473e-05 0.0007324219 0.0004611545 0.00021701389 0.00027126737 0.0024142796 0.000922309 0.00024414062 0.00094943575 0.0019802516 0.00016276042 0.00018988716 0.00013563369 0.00054253475 0.00021701389 0.000108506945 0.00032552084 0.00094943575 8.138021e-05 0.0006781684 0.000108506945 0.0007052951 5.4253473e-05 0.00027126737 0.00027126737 0.0018988715 0.00016276042 0.00027126737 0.03990343 0.3140625 0.0 0.0 0.0 0.0 2.7901786e-05 9.765625e-05 9.765625e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027385602 6.975447e-05 2.7901786e-05 0.00065569195 2.7901786e-05 4.185268e-05 5.580357e-05 4.185268e-05 5.580357e-05 2.7901786e-05 2.7901786e-05 2.7901786e-05 4.185268e-05 2.7901786e-05 1.3950893e-05 4.185268e-05 0.026590401 0.0003766741 6.975447e-05 0.00012555804 0.00029296876 6.975447e-05 0.0002511161 5.580357e-05 0.00029296876 5.580357e-05 1.3950893e-05 4.185268e-05 2.7901786e-05 2.7901786e-05 2.7901786e-05 0.0002511161 0.025641741 0.00032087055 0.0003766741 0.00011160714 0.00033482144 0.00018136161 0.0005440848 0.00023716518 0.00022321429 4.185268e-05 0.00013950893 6.975447e-05 6.975447e-05 0.00018136161 5.580357e-05 4.185268e-05 0.023786273 0.00012555804 0.00022321429 0.00048828125 0.0008370536 0.000390625 0.001297433 0.0003766741 0.00029296876 0.00012555804 4.185268e-05 0.00011160714 2.7901786e-05 2.7901786e-05 6.975447e-05 0.00034877233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03857422 0.0011021205 0.0005859375 0.0010323661 0.002218192 0.0027204242 0.004952567 0.0025111607 0.00062779017 0.00012555804 0.00013950893 0.00043247768 0.0006138393 0.00012555804 0.00030691965 0.0010742188 0.052497208 0.0064453124 0.0034458705 0.002734375 0.0019810267 0.001297433 0.0037667411 0.0011300223 0.0011300223 0.0006138393 0.00065569195 0.0008091518 0.0005859375 0.000390625 0.00068359374 0.007547433 0.038978796 0.0010323661 0.0012276786 0.01579241 0.0019391741 0.0022739954 0.0030412946 0.0019112723 0.0010742188 0.000906808 0.0014927456 0.0012137276 0.0009347098 0.0009486607 0.000906808 0.01203962 0.041992188 0.005343192 0.002999442 0.0017717634 0.004282924 0.004422433 0.0061662947 0.003362165 0.0008789062 0.00033482144 0.00082310266 0.0010044643 0.0011579241 0.00053013396 0.0011439732 0.0095005585 0.022865513 0.006780134 0.0037527902 0.0023158481 0.0030691964 0.0029715402 0.005608259 0.0029157365 0.00044642857 0.00044642857 0.00068359374 0.0007672991 0.00065569195 0.00046037947 0.0007114955 0.0026925222 0.031222098 0.00499442 0.0023716518 0.0018694196 0.006375558 0.007156808 0.012123326 0.0071289064 0.0026925222 0.0010742188 0.00065569195 0.00092075893 0.0015904017 0.00068359374 0.001827567 0.0030273437 0.030594308 0.007296317 0.0014508929 0.0026227678 0.009891183 0.008175223 0.004603795 0.00234375 0.015722657 0.0038225446 0.0011021205 0.0020647321 0.0048549105 0.0033063616 0.00516183 0.011272321 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 236.0 12.31356 2906.0 0.0051617343 0.00068823126 0.00034411563 0.0 0.0030970406 0.00034411563 0.00034411563 0.00034411563 0.0020646937 0.00068823126 0.0030970406 0.0 0.003785272 0.00034411563 0.006538197 0.00068823126 0.008258775 0.010323469 0.0110117 0.014796971 0.01651755 0.009291122 0.007226428 0.008947006 0.010323469 0.008947006 0.0048176185 0.003785272 0.011355815 0.0024088093 0.0024088093 0.0041293874 0.0030970406 0.006538197 0.0058499654 0.013076394 0.01892636 0.00791466 0.0068823122 0.0068823122 0.0058499654 0.013076394 0.00068823126 0.0041293874 0.009635237 0.0068823122 0.00791466 0.009635237 0.004473503 0.0024088093 0.007226428 0.01892636 0.00791466 0.0034411561 0.011699931 0.02271163 0.0034411561 0.0010323469 0.00034411563 0.00034411563 0.0034411561 0.00068823126 0.0010323469 0.07295251 0.0024088093 0.05712319 0.034755677 0.008258775 0.025464555 0.06916724 0.008258775 0.007570544 0.0068823122 0.01720578 0.019958707 0.0024088093 0.029249828 0.014452856 0.024776325 0.024432208 0.015141088 0.00068823126 0.04301445 0.017894013 0.042326223 0.012044047 0.043358568 0.004473503 0.0058499654 0.00550585 0.0010323469 0.0 0.0030970406 0.0010323469 0.00034411563 0.00068823126 5.6779933 1.0 0.0 0.0 1.0 36864.0 36864.0 0.0 4.0 64.0 1.0 1.0 0.0 0.0 0.0 1100056000.0 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 -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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 -4.7100053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5593457 0.0 3.982581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1838.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13329.0 0.0 4660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 161.0 17264.0 40.0 15812.0 4660.0 24576.0 0.0 0.0 0.0 0.0 1112.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 608.0 328.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.5491894 0.0034196316 0.0029435158 0.0019562757 0.0017024641 0.0009532818 0.0020269929 0.0017962869 0.0010054446 0.00143885 0.0035166051 0.0009466302 0.0009452299 0.0009081208 0.0012410518 0.0011738355 0.0007943432 0.00083985424 0.0010887648 0.0010264496 0.0009347273 0.00071767456 0.0009606336 0.0010586574 0.00064240623 0.0007904922 0.0006179003 0.00073342834 0.00079224264 0.000760735 0.0010394028 0.0015407247 0.006692928 0.00092037383 0.0013002162 0.00093577756 0.000949781 0.0009263253 0.0009879402 0.00087801355 0.0015284717 0.0007208253 0.0010380024 0.0007516328 0.0013138695 0.00070122053 0.0009298261 0.0006221013 0.0009420791 0.0010260995 0.0010744113 0.0007663364 0.0009798883 0.00072887726 0.0011885391 0.0019345705 0.00084405526 0.0007218756 0.00080239517 0.0006214011 0.00076668645 0.0012473534 0.002195734 0.0014654564 0.002278004 0.0010740613 0.0009606336 0.00509899 0.012265583 0.00084965664 0.002380579 0.004190869 0.0010373023 0.0010754615 0.0008696115 0.000768787 0.00093647774 0.0039822184 0.00830437 0.0010061447 0.000756534 0.00075373333 0.0011041685 0.00086015917 0.0009658849 0.0006315536 0.0007631856 0.0006739139 0.0006592103 0.0006480076 0.0017455245 0.0046407287 0.0005688883 0.0005212768 0.0022069367 0.005307641 0.0008195493 0.0010674096 0.0007488321 0.0010870143 0.001126224 0.0022548984 0.0015879862 0.0012820117 0.0010691601 0.0023844298 0.0011139709 0.0006487078 0.0011619326 0.0011069692 0.0013163202 0.0035757697 0.0011832878 0.0006550093 0.001858602 0.00168566 0.0015498269 0.0010667094 0.00082235 0.0016212442 0.0007705374 0.0008272512 0.0004593117 0.0008241004 0.0006504582 0.00086015917 0.0048000175 0.0118566835 0.0010068449 0.0009630842 0.0004978211 0.00054088153 0.0005342299 0.0007040212 0.00071907486 0.0022804546 0.00476921 0.0005723892 0.00055558514 0.00057098886 0.00085770857 0.0005331797 0.00044250762 0.000727827 0.0007082222 0.0007292273 0.00058149145 0.0005601362 0.00058569247 0.0005492836 0.00053598033 0.0009091711 0.0006242018 0.0008605093 0.0033128557 0.0068070553 0.0007519829 0.000723626 0.0004379565 0.0010352017 0.0007495323 0.00045055957 0.0011675339 0.0019842826 0.0009322767 0.0027149103 0.00046701357 0.00055488496 0.0007911924 0.00071662426 0.0005723892 0.0005751899 0.00079259276 0.00045160984 0.0005772904 0.0010418533 0.000501672 0.0006427563 0.00071522396 0.0006066976 0.00051672565 0.00055558514 0.0004988713 0.0014367495 0.002973623 0.0019793813 0.0043809656 0.0016145926 0.0009557324 0.00047681597 0.00055943604 0.00064415665 0.0009515314 0.0006434565 0.0045686113 0.011446384 0.00051672565 0.0005198764 0.00057904085 0.0005429821 0.0004264037 0.0005671379 0.0007047214 0.0006438066 0.00072642666 0.0006115987 0.00075373333 0.00087311235 0.000888166 0.00085385767 0.0009952921 0.003194877 0.0069134813 0.00061930064 0.00049607066 0.0004995715 0.0005188262 0.0004544105 0.00053633045 0.00055068394 0.0007897921 0.0004964207 0.0005065732 0.0005485834 0.00081184745 0.0006294531 0.00059654505 0.0014906626 0.0028241368 0.0004904693 0.00064730743 0.0007047214 0.0005013219 0.0005825417 0.00072887726 0.0004621124 0.00046386282 0.00048171714 0.0005769403 0.002224091 0.005917139 0.0007733381 0.0005762401 0.00044425804 0.00048206723 0.0005380809 0.00052582787 0.0006031967 0.0013121191 0.00065115833 0.00081254763 0.0008405544 0.0011188721 0.00090146926 0.0254904 0.07953759 0.080342405 4.798747e-05 5.604376e-06 1.9790452e-05 4.2733365e-05 9.807658e-06 1.7338538e-05 5.2541022e-06 7.706017e-06 4.203282e-06 3.502735e-06 1.7513674e-06 7.00547e-06 2.0491e-05 2.802188e-06 0.00016462854 0.021723261 0.00014133536 2.9247836e-05 4.6411238e-05 3.3100845e-05 2.1716956e-05 2.0666135e-05 1.0157932e-05 1.6988264e-05 1.3835803e-05 1.1383889e-05 7.706017e-06 1.9440178e-05 5.7795125e-05 1.1909298e-05 0.00079056725 0.023604756 0.0001320531 8.178886e-05 9.457384e-05 8.038777e-05 7.688503e-05 4.728692e-05 3.0824067e-05 6.252382e-05 2.90727e-05 2.9948384e-05 3.3451117e-05 3.450194e-05 6.620169e-05 4.0456587e-05 0.0017389328 0.03287702 0.00018564495 0.00013275366 0.00020070671 0.00018827201 0.00013397961 0.00010665828 0.00010753396 0.00010665828 5.1840478e-05 7.5834214e-05 0.000117516756 9.072084e-05 0.00011348861 0.00016217663 0.004445321 0.025927244 0.00019597802 0.00017741353 0.00031226882 0.00033871448 0.00028459722 0.00021436738 0.00016270204 0.00015201869 6.67271e-05 0.00016497882 0.00023643461 0.000111912384 0.0001353807 0.00010788423 0.0047686235 0.025330553 0.00022014689 0.00023345728 0.00039878636 0.00078058447 0.00068636093 0.000266383 0.00020963869 0.00015517116 7.8636396e-05 0.00021279114 0.00064748054 0.00014361214 0.00018704604 0.00014641431 0.0047362233 0.020490823 0.00035430165 0.00091771653 0.0003674369 0.0009007283 0.00072366506 0.00043171208 0.00020070671 0.000163928 0.00013555585 0.00028512263 0.00070282375 0.000167781 0.00016673018 0.0001539452 0.0021727465 0.04608356 0.00079774787 0.0046735243 0.00090720836 0.002405153 0.0016285966 0.004996301 0.0024247682 0.00027006087 0.0011741167 0.0010354085 0.0015772815 0.0004241812 0.00076534756 0.0010685093 0.009036531 0.06977203 0.001784118 0.00322742 0.0017205434 0.0034780407 0.0024890434 0.0036971366 0.002306726 0.0013392707 0.0016515395 0.0014107265 0.0032412559 0.0010189456 0.0015998742 0.0024293219 0.016122388 0.059572063 0.0018354331 0.0020979631 0.0018342071 0.005364964 0.0031384504 0.0026006056 0.0038391727 0.0024417564 0.0019110922 0.0016429578 0.0024902695 0.0027398393 0.0014669454 0.0016532909 0.016203126 0.12522627 0.0026272263 0.0033281236 0.00485409 0.021833071 0.0068471464 0.0034666567 0.012896719 0.0049407827 0.007447165 0.0039141313 0.0038157043 0.011990212 0.007004244 0.002452615 0.042779077 0.03447847 0.0011140448 0.0013184295 0.001600925 0.0063185836 0.002146476 0.0012480244 0.003921662 0.0017336786 0.002347533 0.0010115899 0.0014390986 0.0036507256 0.0022639928 0.0012143982 0.01130858 0.002201469 0.00020140725 0.0002602532 0.00020333377 0.0003269803 0.00018494441 0.0002898513 0.00028319613 0.0001620015 0.00013065201 0.00012749954 0.00014186077 0.00017338539 0.00018582008 0.00011523998 0.0003923063 0.0012091441 0.00014221104 0.00023993735 0.00016270204 0.00022084743 0.00014693972 0.000307365 0.00023906166 0.00012644874 0.00012084436 9.7901444e-05 9.737603e-05 0.00010280527 0.00010525718 9.737603e-05 0.0001705832 0.0007720028 0.00013730722 0.00020491 0.00013660666 0.0001663799 0.00012329627 0.00024869418 0.00019317583 0.00012627359 0.000109635606 0.00010403123 0.000100703626 0.00010403123 0.00011348861 0.00010718369 0.00012172004 0.00548756 0.004422378 0.0042451397 0.0044397167 0.0046178307 0.004173859 0.0043512722 0.004645502 0.00447667 0.0044500497 0.00441835 0.0044171237 0.004308189 0.004619582 0.004459682 0.005637827 2200.0 13.6222725 29969.0 0.0090426775 0.002535954 0.001234609 0.004638126 0.0015349194 0.0010344022 0.0010010344 0.0015015516 0.002502586 0.0005005172 0.0015349194 0.0015015516 0.00824185 0.0013680804 0.016683906 0.0007007241 0.00900931 0.005005172 0.0015015516 0.003403517 0.0039707697 0.004838333 0.0028028963 0.0042377124 0.0013013447 0.0032700456 0.001234609 0.002502586 0.0034368848 0.006506724 0.0035369883 0.005071908 0.0010344022 0.00717408 0.0027361608 0.017351262 0.012679769 0.0041709766 0.0045713903 0.004304448 0.0063732523 0.006606827 0.0020354367 0.0060395743 0.004471287 0.0054389536 0.0031699422 0.0022356436 0.0083753215 0.0012012413 0.008508792 0.019653643 0.01007708 0.0028362642 0.0061396775 0.0039707697 0.0 0.003036471 0.0015015516 0.0010010344 0.0017351263 0.002502586 0.0020020688 0.024225032 0.0015682873 0.036137342 0.014548367 0.031565953 0.030164503 0.09533184 0.009342988 0.024959125 0.011078114 0.033301078 0.0073075513 0.006306517 0.033367813 0.025726585 0.037605524 0.044145618 0.007841436 0.0060062064 0.040842205 0.045680538 0.072441526 0.023257365 0.007841436 0.0083753215 0.0104774935 0.017818412 0.0025693215 0.0010010344 0.0020020688 0.002535954 0.002502586 0.0020020688 5.58696 0.0 0.0 0.0 1.0 2856448.0 2883584.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3192838000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 2853888.0 512.0 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 -2853888.0 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 -3.9834287 0.0 4.2614293 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 -2853452.0 0.0 1420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2861556.0 1420.0 2867200.0 0.0 0.0 0.0 0.0 12.0 2875392.0 56.0 2861428.0 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: 0.25854197 0.022731552 0.02807323 0.017413404 0.02675546 0.0140719125 0.027414344 0.014589609 0.018260542 0.010471574 0.021649096 0.008894955 0.006306476 0.0060711596 0.0074359938 0.0071536144 0.009930346 0.031579442 0.008753765 0.014377824 0.003012048 0.0037179969 0.012848268 0.009742093 0.0050592995 0.0019766567 0.0033885543 0.0010824548 0.0015295558 0.004494541 0.002776732 0.010400979 0.010189194 0.0009883284 0.0008706702 0.0021178464 0.0013413028 0.005435806 0.0012236446 0.0007765437 0.013036521 0.0006824172 0.008306664 0.0060711596 0.0044239457 0.0050828313 0.0051534264 0.0027532002 0.005718185 0.0027296687 0.0028943901 0.002400226 0.0012942394 0.00101186 0.0007059488 0.000753012 0.0012942394 0.0011765814 0.0008706702 0.0008471386 0.001129518 0.0005176958 0.0005882907 0.0005176958 0.0011059864 0.002329631 0.0013413028 0.0017413404 0.0018589984 0.0022825678 0.0012942394 0.0014118976 0.0009883284 0.004353351 0.0007059488 0.001200113 0.0018825302 0.0011059864 0.0014824924 0.0008942018 0.0014354292 0.0011530496 0.001576619 0.0030591115 0.003012048 0.001129518 0.0009883284 0.0004941642 0.009271461 0.0057652486 0.004329819 0.000564759 0.000564759 0.0002588479 0.0005176958 0.004212161 0.0012236446 0.0082125375 0.0040003764 0.0042592245 0.0039533135 0.016825113 0.0023766942 0.004494541 0.0021649096 0.011201054 0.001506024 0.0006824172 0.0059064385 0.0057887803 0.009389119 0.01070689 0.00491811 0.0007059488 0.012636484 0.008706702 0.012683547 0.0054828688 0.0018354668 0.0006824172 0.001129518 0.003082643 0.0011059864 0.007388931 0.0010589232 0.0029179216 0.0009647967 0.0006588855 0.0026590738 0.0011530496 0.00014118975 0.0007059488 0.0002588479 0.00040003765 0.0010589232 0.00016472138 0.000188253 0.0002588479 9.41265e-05 0.00030591115 0.00030591115 0.0016707454 0.0028708584 0.0007059488 0.00030591115 0.001388366 0.00023531627 0.0006353539 0.0006588855 0.0016942772 0.0017178088 0.00030591115 0.0016472138 0.00023531627 0.0006353539 0.0002588479 0.0002823795 0.000376506 0.0010353916 0.000564759 0.0009412651 0.000376506 0.001317771 0.0002823795 0.0002588479 0.000188253 0.00030591115 0.00030591115 0.00016472138 0.00032944276 0.0002588479 0.0006824172 0.000117658135 0.00040003765 0.00032944276 0.00014118975 0.00040003765 0.00021178465 0.0004941642 0.000117658135 0.0004941642 0.0003529744 0.00016472138 0.00023531627 0.00023531627 0.000188253 0.000117658135 0.0009647967 0.0004235693 0.000376506 0.00014118975 9.41265e-05 0.0005412274 0.00021178465 0.00014118975 0.00014118975 4.706325e-05 0.00023531627 0.000376506 0.0003529744 9.41265e-05 0.00021178465 0.0003529744 0.0002823795 0.00014118975 0.00016472138 0.00021178465 0.0002588479 9.41265e-05 0.0003529744 0.0004941642 0.0032003012 0.0002588479 0.00016472138 0.0003529744 0.00023531627 0.0002823795 0.0004941642 0.00016472138 7.059488e-05 0.0002588479 0.000117658135 0.0002823795 0.00030591115 0.003082643 0.0005176958 0.00023531627 0.00014118975 0.00023531627 0.0010589232 0.000753012 0.00016472138 0.000188253 0.00021178465 0.0002823795 0.0008706702 0.00021178465 0.00023531627 7.059488e-05 0.0002823795 0.0005176958 0.00023531627 0.000117658135 9.41265e-05 0.00016472138 7.059488e-05 4.706325e-05 0.0006118223 0.000117658135 0.00016472138 4.706325e-05 7.059488e-05 0.0002588479 0.00016472138 0.0029885166 0.0021884413 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03536377 0.0064697266 0.0014892578 0.0006469727 0.00070800784 0.00061035156 0.00024414062 0.00013427735 0.0010498047 0.0008911133 0.0005859375 0.0002807617 0.00012207031 0.00013427735 0.0010131836 0.00025634764 0.0685791 0.00559082 0.0064086914 0.0013671875 0.008166504 0.006555176 0.04613037 0.027722169 0.00052490237 0.0012695312 0.00040283203 0.0004272461 0.00037841796 0.0002807617 0.0009399414 0.00025634764 0.08154297 0.012939453 0.01229248 0.0029785156 0.0033447265 0.0036987304 0.01644287 0.012426758 0.0017333984 0.00072021486 0.00025634764 0.00025634764 0.0001586914 0.00029296876 0.00029296876 0.0006225586 0.13920899 0.03717041 0.02027588 0.007897949 0.0068969727 0.008703614 0.016674805 0.0163208 0.0036743165 0.005505371 0.0021606446 0.001989746 0.0015136718 0.0016967773 0.0024047852 0.0029052733 0.14847413 0.06512451 0.029052734 0.0115356445 0.0062744142 0.01883545 0.010217285 0.008422852 0.00612793 0.0036254884 0.0028320313 0.0017456055 0.0013549805 0.004626465 0.0031372071 0.0036132813 0.01036377 0.0013549805 0.000390625 0.00057373045 0.0011352539 0.0009033203 0.004772949 0.0025146485 0.00025634764 0.00030517578 0.00037841796 0.00037841796 0.0003173828 0.00020751954 0.00091552734 0.00023193359 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 371.0 13.202156 4898.0 0.0030624745 0.00020416497 0.0 0.0010208248 0.0006124949 0.0010208248 0.0 0.0 0.0006124949 0.00020416497 0.0 0.0008166599 0.00020416497 0.0008166599 0.010412414 0.0 0.0016333198 0.0012249898 0.0010208248 0.0010208248 0.0010208248 0.0006124949 0.00020416497 0.0 0.0 0.00040832994 0.0 0.0 0.00020416497 0.0 0.00020416497 0.0006124949 0.0006124949 0.012658228 0.0069416086 0.010820743 0.009595754 0.006533279 0.006329114 0.004695794 0.0018374847 0.012045733 0.0 0.0022458145 0.005308289 0.004695794 0.006533279 0.0036749693 0.0077582686 0.0 0.004695794 0.018170683 0.010208248 0.0032666395 0.0020416495 0.0016333198 0.0036749693 0.0008166599 0.004491629 0.0 0.0 0.0 0.0 0.016537363 0.0014291548 0.047570437 0.021028992 0.02552062 0.016945692 0.11106574 0.012454063 0.02878726 0.010004084 0.05798285 0.00020416497 0.0022458145 0.0320539 0.028991425 0.054512046 0.05022458 0.018374847 0.0016333198 0.07390772 0.045528788 0.08922009 0.035116374 0.011024908 0.0016333198 0.005512454 0.020008167 0.0016333198 0.0 0.0 0.00040832994 0.0 0.0 4.9725432 0.0 0.0 0.0 1.0 42496.0 65536.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 4036756000.0 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 48.0 0.0 4.0 0.0 4.0 0.0 39936.0 512.0 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 -39936.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9110374 0.0 3.2788956 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 -39828.0 0.0 1048.0 0.0 0.0 0.0 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 75.0 47936.0 1048.0 49152.0 0.0 0.0 0.0 0.0 12.0 57344.0 56.0 47836.0 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: 0.038371745 0.0065083345 0.01382463 0.006761354 0.006501956 0.0044607925 0.008207178 0.0033976866 0.009123576 0.00844744 0.0054027047 0.0075799455 0.0040908316 0.0033572887 0.008534615 0.0048307534 0.004465045 0.0032063276 0.0062531894 0.01002509 0.007114305 0.010188808 0.0030064636 0.004516074 0.0032743665 0.0027364348 0.0027725804 0.00292992 0.0031638034 0.0029554346 0.0046393946 0.0046202587 0.0037251234 0.0033360266 0.004311958 0.0048009865 0.0061617624 0.0033998128 0.003078755 0.0031149006 0.0032169586 0.0040483074 0.0030596189 0.0038760845 0.0033381528 0.003061745 0.0043374724 0.00292992 0.0037144923 0.0034721042 0.003240347 0.0049328115 0.0046372684 0.004203521 0.0031467937 0.0039887736 0.0031829393 0.0032849975 0.0060979757 0.0035082498 0.0063467426 0.003299881 0.0031319102 0.002978823 0.005228355 0.004143987 0.002887396 0.0028746387 0.0035635312 0.0039590066 0.0030808812 0.04284955 0.0028214832 0.0032382207 0.0027747066 0.0031212792 0.0035061236 0.0028852697 0.0034444632 0.003391308 0.0040057832 0.0031935703 0.003391308 0.0035082498 0.0034338322 0.0037229971 0.0054388503 0.004137608 0.0026811534 0.0028959007 0.0040079094 0.002989454 0.014787804 0.004022793 0.0035656574 0.0033147645 0.0028661336 0.0031786868 0.0026343765 0.003029852 0.002959687 0.0034869877 0.005506889 0.002849124 0.0031850655 0.0030915122 0.008145518 0.0027470659 0.0032722403 0.007771305 0.004012162 0.0030851336 0.0028895221 0.002687532 0.003159551 0.0030170947 0.0044990643 0.0037166185 0.0028937745 0.0034848615 0.002989454 0.0030447354 0.0028533763 0.0028831435 0.0031893179 0.0028214832 0.0029830753 0.0027258038 0.0036464534 0.0032679879 0.002768328 0.0049434425 0.0030277257 0.0034232012 0.0027236775 0.0029660657 0.003319017 0.003669842 0.0028151046 0.006008675 0.0029320463 0.0038144242 0.002698163 0.0028576287 0.002938425 0.0027066679 0.0026131144 0.0028661336 0.0029405511 0.0026641435 0.0025897261 0.0027109203 0.0029171628 0.0029001532 0.0026428814 0.0027343086 0.0027619493 0.0028214832 0.0029001532 0.0027747066 0.0027300562 0.0030766288 0.0025259398 0.0028852697 0.0028916483 0.0027130465 0.0025727164 0.0027151727 0.0027109203 0.0025131826 0.0026407551 0.0027406872 0.002878891 0.00278959 0.0027980949 0.0027959687 0.0028044735 0.0027109203 0.0029129104 0.002859755 0.0028151046 0.0027704542 0.0027300562 0.002819357 0.003191444 0.0028576287 0.0028108521 0.0027810852 0.0028937745 0.0026428814 0.0027832114 0.0031744344 0.004001531 0.0030936385 0.0029214153 0.0034657256 0.003844191 0.0029852015 0.0031361626 0.00419289 0.0034487157 0.0030255995 0.002919289 0.0027980949 0.0039249873 0.0027109203 0.0028044735 0.0029001532 0.0029533084 0.0028363666 0.0027938425 0.0029469298 0.0027662017 0.0027917163 0.0028129783 0.002859755 0.0030085898 0.00278959 0.0028044735 0.002938425 0.0028321142 0.0027959687 0.0027364348 0.0027428134 0.0031446675 0.0028767649 0.0029150366 0.0027130465 0.0029341725 0.0028661336 0.0028725124 0.0027959687 0.003941997 0.0029979588 0.0027109203 0.0033891818 0.0029469298 0.0028321142 0.00285125 0.0027194251 0.0031255316 0.0030532402 0.0028831435 0.0030043374 0.002800221 0.0027258038 0.0030851336 0.00292992 0.0034869877 0.0029724443 0.0029958326 0.0028703862 0.0033551625 0.0029341725 0.0030362306 0.007988178 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006348722 0.00040405805 0.00021215713 0.00024414062 0.00020256209 0.00015991744 0.00034328943 0.00016524803 7.0363676e-05 5.437193e-05 6.0768627e-05 2.9851255e-05 4.4776883e-05 3.624795e-05 2.6652906e-05 0.00033049606 0.005765557 0.00013859512 0.00017804142 0.00011087609 0.00023774392 9.701658e-05 0.0003603473 0.000550116 0.00069190946 2.558679e-05 0.00012366948 2.6652906e-05 3.9446302e-05 1.0661162e-05 5.757028e-05 0.0003198349 0.0023422574 0.00031663652 0.00018870257 0.00019936374 0.0003475539 0.00020149598 0.0002878514 0.000113008326 1.49256275e-05 6.3966977e-06 2.1322325e-05 2.1322326e-06 1.5991744e-05 1.0661162e-05 5.330581e-06 0.00029318198 0.01529557 0.008424451 0.00340944 0.0034883325 0.016445909 0.0060160942 0.0033081588 0.00034222333 5.330581e-06 4.264465e-06 4.264465e-06 1.0661163e-06 7.4628138e-06 4.264465e-06 7.4628138e-06 4.264465e-06 0.03682152 0.018062143 0.008041715 0.00964622 0.025952468 0.013988512 0.008152591 0.00039659525 0.0003475539 0.00018976869 6.3966974e-05 8.955377e-05 8.6355416e-05 7.782649e-05 0.00012047114 0.00023347946 0.0040395143 0.0005693061 0.00040512418 0.002907299 0.0006023557 0.00049574405 0.0009648352 0.0006162152 0.00045843 0.0002089588 0.00022388442 0.0002164216 0.0005096036 0.00023987616 0.00026546296 0.00037740514 0.004244209 0.00044457047 0.00039872748 0.00037633904 0.0006620582 0.0004467027 0.00052346307 0.0004914796 0.00085502525 0.00011194221 0.00021109101 0.00026652907 0.00057357055 0.00020469433 0.00035714894 0.00074947975 0.010222989 0.0017121828 0.0012857362 0.0013592982 0.0029883238 0.0019904391 0.0015735877 0.0018752986 0.0045395233 0.0003731407 0.0005490499 0.000669521 0.0029499438 0.00063220697 0.0016247611 0.0027719024 0.010265633 0.0025917287 0.002980861 0.0016663397 0.0038689359 0.003143977 0.0029499438 0.0017388356 0.0054713087 0.0004061903 0.0008912732 0.0011130254 0.004209027 0.0009083311 0.001641819 0.0041877045 0.042939965 0.0431276 0.042741667 0.043199033 0.04227364 0.042699024 0.04334935 0.04366599 0.042578552 0.043223552 0.041948475 0.043266196 0.043876015 0.043410122 0.043530595 0.04412655 4412.0 11.296011 49838.0 0.005618203 0.0024679962 0.011557446 0.01077491 0.007183274 0.0025683213 0.0030498817 0.0017055259 0.0027689715 0.0063204784 0.0029495566 0.0060796984 0.0023676713 0.0023074762 0.010313416 0.0021670212 0.003691962 0.0064208033 0.003732092 0.011356796 0.008347045 0.010794976 0.0032505316 0.006200088 0.0029294915 0.003651832 0.027890366 0.0034511818 0.018881176 0.0027689715 0.0026084513 0.0029696217 0.0016052008 0.0032304667 0.0022673463 0.0027689715 0.0029495566 0.0050764475 0.0026686464 0.32792246 0.002026566 0.005397488 0.0017657209 0.005096513 0.0033107267 0.0023676713 0.0070026885 0.005758658 0.005337293 0.005517878 0.007484249 0.0067017134 0.005919178 0.00900919 0.020325856 0.011196276 0.0016854609 0.0025683213 0.012540632 0.0022874111 0.11465147 0.010193026 0.0048356676 0.0041133272 0.002026566 0.0041133272 0.0022673463 0.0031301416 0.0032505316 0.006942494 0.0031100765 0.0022071511 0.0023877362 0.0042537823 0.046631083 0.0022071511 0.0038926122 0.047393557 0.0128416065 0.0045146276 0.0025683213 0.0015249408 0.0045346925 0.0031301416 0.0055780727 0.0027689715 0.001906176 0.0065010632 0.0026485815 0.0022071511 0.001906176 0.001866046 0.001866046 0.0014848108 0.0022272163 0.0013844857 4.658259 1.0 0.0 0.0 11.0 470320.0 413696.0 0.0 0.0 104.0 1.0 1.0 0.0 0.0 0.0 832876400.0 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 2.0 55.0 1.0 0.0 4.0 0.0 42496.0 1024.0 4096.0 8.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -4608.0 -3584.0 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 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38912.0 -3072.0 329728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.723414 -6.234848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8216968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.969105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5032773 -5.346989 7.9915085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4490.0 -3292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7088.0 0.0 0.0 -7024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38518.0 -2602.0 329264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2602.0 69632.0 329264.0 73728.0 0.0 0.0 0.0 0.0 3308.0 405504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.2272996 0.018964885 0.007766691 0.0034523255 0.0045142593 0.0021280318 0.006392424 0.002448694 0.0022488006 0.0019406317 0.0053221616 0.0015949827 0.0069088154 0.0028859607 0.009278385 0.00082039577 0.001299307 0.0031316632 0.0019239739 0.0059301704 0.0011702093 0.00077875133 0.0025361474 0.0016449561 0.0012410048 0.0011077425 0.0011368936 0.0015116938 0.0030691964 0.0012410048 0.0011327292 0.0031316632 0.026523354 0.00086204027 0.0009786447 0.0025361474 0.00091617805 0.0021363606 0.001336787 0.0011785381 0.0025403118 0.0010660981 0.0012160181 0.0027360409 0.0008370536 0.001345116 0.0016116404 0.0012576625 0.01802372 0.016249666 0.00084538246 0.0013076359 0.00096615136 0.0008953558 0.0006954624 0.0015283516 0.010186234 0.00077458686 0.00085371133 0.00061633793 0.0007329424 0.0007829158 0.00067047577 0.000841218 0.0016657782 0.0037146856 0.007337753 0.0032940765 0.0026860675 0.0033690366 0.0027818496 0.0025819563 0.0026402585 0.0028984542 0.0024237074 0.002440365 0.0030733608 0.002690232 0.0027110542 0.002561134 0.002811001 0.0027110542 0.002831823 0.0028817963 0.002681903 0.0025069963 0.0028151653 0.0026236007 0.0025194895 0.002652752 0.009932203 0.00057885796 0.0006829691 0.00058302237 0.0012368404 0.00086204027 0.00067047577 0.011556337 0.002906783 0.0032274453 0.003110841 0.0049681836 0.0026152718 0.0027693564 0.002690232 0.003577259 0.0040936503 0.0026319297 0.003560601 0.003065032 0.0038854277 0.004347681 0.0066297976 0.0024695164 0.0075084954 0.003764659 0.0045725615 0.0029026186 0.0027443697 0.003373201 0.0024736808 0.0029775787 0.0025111607 0.00067880464 0.0007620935 0.00060384464 0.0015200226 0.0006121735 0.05041478 0.027626932 0.0005913513 0.0005955157 0.0007829158 0.0007371069 0.0005538713 0.0005746935 0.0005455424 0.0008578758 0.00047891124 0.004989006 0.0053679706 0.0052263793 0.005272188 0.0048265923 0.00060384464 0.00058718683 0.00061633793 0.00075376465 0.0006454891 0.0006413246 0.00051639124 0.0005538713 0.0005663646 0.0005413779 0.00058302237 0.0005413779 0.0005996802 0.0005955157 0.0005746935 0.00048724015 0.00070795574 0.0006496535 0.0007204491 0.00060800905 0.00058718683 0.00063299574 0.00058302237 0.00053721346 0.00075376465 0.00062466686 0.009636527 0.009961354 0.0099197095 0.00934918 0.011289812 0.005155584 0.0006579824 0.00058302237 0.0005746935 0.0005913513 0.0006579824 0.0006746402 0.00061633793 0.00069962686 0.0006663113 0.00057885796 0.0006288313 0.00065381796 0.0006288313 0.0005996802 0.00060384464 0.00061633793 0.0006954624 0.0005996802 0.0010452758 0.00062466686 0.0005455424 0.0006496535 0.00062466686 0.0005413779 0.000570529 0.00065381796 0.0006496535 0.0005497068 0.0005955157 0.00057885796 0.0005913513 0.00056220015 0.00067047577 0.0006829691 0.00075376465 0.0007162847 0.00077458686 0.0006371602 0.00070379133 0.00050806237 0.0007371069 0.00062466686 0.00067047577 0.0005955157 0.0007870802 0.0008079024 0.00065381796 0.00057885796 0.00086204027 0.0005746935 0.075143255 0.00061633793 0.00065381796 0.0006205024 0.00065381796 0.0006871335 0.00065381796 0.00074960024 0.00074960024 0.00063299574 0.00065381796 0.0006496535 0.00063299574 0.002644423 0.002644423 0.0025569696 0.00067047577 0.0005663646 0.0006371602 0.0006496535 0.005313833 0.00062466686 0.00053304905 0.0019864405 0.001998934 0.00056220015 0.00058718683 0.0006871335 0.013238773 0.03142074 0.008420232 2.0956277e-06 8.382511e-06 0.0 1.4669394e-05 0.0 0.0 2.9338787e-05 0.0 0.0 0.0 0.0 0.0 0.0 4.1912554e-06 0.000104781386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007104178 0.0008633986 3.77213e-05 4.1912554e-05 3.562567e-05 2.0956277e-05 2.724316e-05 3.1434414e-05 0.00020537151 1.4669394e-05 1.0478138e-05 8.382511e-06 5.6581946e-05 1.2573766e-05 2.3051905e-05 9.011199e-05 0.004281367 0.0 0.00024518845 0.004013127 0.0006936528 0.0 6.286883e-06 8.382511e-06 2.3051905e-05 0.0 0.0 0.0 4.1912554e-06 0.0 0.0006559315 0.002944357 0.03076591 1.2573766e-05 0.0029967476 0.02475565 0.0013265323 1.886065e-05 1.886065e-05 0.000393978 0.00014250269 8.382511e-06 8.382511e-06 1.0478138e-05 2.0956277e-05 1.2573766e-05 0.0005050463 0.0033802474 0.007592459 0.0007125134 0.00015717208 0.00011735515 0.0014292181 0.00010059013 0.00037511735 0.00022423216 0.031564344 4.1912554e-05 0.016729396 1.886065e-05 0.00026824034 1.4669394e-05 0.024217073 0.002273756 0.009996144 0.00033530043 0.00035416108 0.0016052508 0.00097446685 0.0003709261 0.0013265323 0.0011232564 0.018022398 5.0295064e-05 0.009419846 1.4669394e-05 3.77213e-05 2.0956277e-05 0.013810187 0.002623726 0.08606743 0.00089902425 0.0018651086 0.0022046003 0.024181448 0.0172072 0.024344906 0.017108705 0.01690962 9.220762e-05 0.0087576285 6.496446e-05 0.00021794529 1.4669394e-05 0.012934214 0.0017226059 0.008774393 0.0012762373 0.0008885461 0.00038349986 0.005549222 0.0040340833 0.0086989505 0.005685438 0.029219337 0.0001445983 0.015733972 0.00011735515 0.0001278333 9.639887e-05 0.02223461 3.9816925e-05 0.019724049 0.0033215699 0.0019070212 0.0022465128 0.001689076 0.0012175597 0.0021668791 0.0016241114 0.0026740208 0.0006056364 0.0015235214 0.0006182102 0.0005972539 0.00051342876 0.0018273874 0.0006622184 0.020537151 0.0031434416 0.0032691793 0.0016702153 0.002233939 0.0016366852 0.0036673485 0.0027096467 0.0027557504 0.0008382511 0.0016136334 0.0007250872 0.00065174024 0.0007795735 0.0023114774 0.0029590263 0.043115444 0.0063078394 0.013361722 0.0053773806 0.0034996981 0.0048618563 0.0056812465 0.004761266 0.0030114169 0.0020935321 0.0020683846 0.002280043 0.0020348544 0.0024015894 0.0019510294 0.00878068 0.032744184 0.007491869 0.012953075 0.007278115 0.0034996981 0.004954064 0.0054192934 0.0050295065 0.0025922915 0.002600674 0.003208406 0.00338863 0.0033383348 0.0033739605 0.002950644 0.01934893 0.022590866 0.007728675 0.010993663 0.006389569 0.003948163 0.0066829566 0.0076280846 0.0072655412 0.0029925564 0.0029464525 0.0030114169 0.0028228106 0.0027641328 0.0037176434 0.004293941 0.020103356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 951.0 13.139853 12496.0 0.03297055 0.0008802817 0.0032010244 0.0017605633 0.0019206146 0.0024807937 0.001840589 0.001840589 0.001040333 0.0011203585 0.0009603073 0.0035211267 0.0012003841 0.0023207427 0.016485276 0.0019206146 0.004081306 0.0023207427 0.0028809218 0.001840589 0.002080666 0.0019206146 0.0015204865 0.0016005122 0.016005121 0.001840589 0.0015204865 0.0008802817 0.0024807937 0.0027208708 0.002240717 0.002080666 0.0013604354 0.014004481 0.0100832265 0.013684379 0.010243278 0.010963508 0.0114436615 0.009523047 0.010163252 0.010963508 0.007922535 0.009122919 0.012083867 0.0131242 0.009763124 0.008642766 0.0104033295 0.007202305 0.012083867 0.014964789 0.011283611 0.009362997 0.010803457 0.009523047 0.009362997 0.0100832265 0.03096991 0.0012003841 0.0006402049 0.0015204865 0.0016005122 0.005361716 0.001840589 0.038572345 0.017285531 0.018725993 0.020966709 0.054737516 0.01056338 0.016405249 0.011203585 0.028169014 0.010323304 0.01056338 0.029849552 0.016405249 0.025848271 0.029769527 0.014484635 0.009603073 0.03193022 0.030649807 0.045694623 0.018725993 0.012003841 0.020966709 0.009202945 0.01512484 0.008802817 0.0016805378 0.0021606914 0.0013604354 0.0012804097 0.0021606914 5.9410005 0.0 0.0 0.0 13.0 240128.0 262144.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1534518500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 226304.0 512.0 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 -226304.0 0.0 12800.0 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 -5.9859557 0.0 3.6092498 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 -225988.0 0.0 12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 234088.0 12800.0 237568.0 0.0 0.0 0.0 0.0 12.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0