Input: 0.2442457 0.019812476 0.01483077 0.009067197 0.0144228395 0.0051763994 0.011564231 0.00358794 0.004233831 0.0019253115 0.017432876 0.0022899772 0.0044099833 0.001387584 0.0017769729 0.0033530707 0.0009703817 0.0046263104 0.0031305626 0.0028802413 0.0022374406 0.00076023536 0.0065083564 0.0023239716 0.0021849042 0.0005871737 0.0006273487 0.0017244363 0.0022281695 0.0009023932 0.0006088064 0.0010692741 0.0019994809 0.0004233831 0.00038629846 0.0006397102 0.0010383703 0.000645891 0.00088694127 0.00083440467 0.011610586 0.0037022843 0.0067988527 0.0040422273 0.0021323676 0.0020983731 0.0053587323 0.00829151 0.0028802413 0.0010383703 0.0006984276 0.00083440467 0.00068606605 0.000454287 0.0004511966 0.0029265971 0.00046973894 0.00059026404 0.0012454262 0.002518666 0.0004511966 0.0004481062 0.0024939429 0.0007540546 0.00069533725 0.0052474784 0.002024204 0.005055874 0.003387065 0.0023795986 0.0010939973 0.0047375644 0.0042832773 0.007945387 0.00092093553 0.0006489814 0.0061406004 0.0045892256 0.0018789558 0.0022127177 0.0020272944 0.0005068236 0.0009889241 0.0069101066 0.004341995 0.00072315073 0.004400712 0.00096729136 0.002836976 0.00029358684 0.0018047864 0.0003553946 0.00030285798 0.00040175038 0.00026886372 0.016932234 0.00088694127 0.026966723 0.006971915 0.010136471 0.021400934 0.04473954 0.0018109672 0.0068544797 0.0039711483 0.024896163 0.0010569126 0.0027535355 0.012957996 0.005346371 0.030557754 0.030424867 0.015807332 0.0010136472 0.027884567 0.015801152 0.034167327 0.010726736 0.0074385633 0.0069657336 0.0015050188 0.0022590733 0.0006984276 0.0016317246 0.0004975524 0.00097347214 0.0064898143 0.0002503214 0.003739369 0.0028122528 0.00030285798 0.00030594837 0.0006520718 0.0003244907 0.0007849585 0.0003492138 0.0002750445 0.00055936014 0.00034612342 0.00041411194 0.00068915647 0.00039866002 0.0019005884 0.0003739369 0.00036466576 0.0036188439 0.0003275811 0.0005655409 0.0005655409 0.0002966772 0.00033685224 0.0003492138 0.00043883504 0.00043574467 0.0002534118 0.00026577333 0.00043265428 0.0004511966 0.00029049645 0.00055936014 0.00078804884 0.0004233831 0.00030285798 0.0024228639 0.00028431567 0.0004233831 0.00024414062 0.00030594837 0.00026268294 0.00029049645 0.00030285798 0.0002750445 0.0005717217 0.0003553946 0.00038011768 0.00021941752 0.00038011768 0.0002565022 0.0002750445 0.00025959258 0.0003708465 0.00020087519 0.00023486947 0.00024105023 0.00022868869 0.00033685224 0.0005037332 0.00024105023 0.0002534118 0.00023177908 0.0002966772 0.00028740606 0.00068606605 0.0002534118 0.0002503214 0.00022868869 0.00054699864 0.00030594837 0.002271435 0.00022868869 0.00022868869 0.0002503214 0.00026886372 0.00026886372 0.00056863134 0.0002503214 0.00020396558 0.0002534118 0.0003492138 0.00019469442 0.00020705597 0.00036157537 0.0002750445 0.0002750445 0.00023486947 0.0003306715 0.00028740606 0.0013783129 0.00030594837 0.00050991395 0.00046973894 0.0009332971 0.00040175038 0.00031212915 0.0023857793 0.0017893345 0.00033685224 0.00025959258 0.00073860266 0.00051609473 0.0008251335 0.00034612342 0.00048828125 0.0003739369 0.00041102155 0.00029049645 0.00033685224 0.00036466576 0.0002719541 0.00028122528 0.00025959258 0.0005439082 0.00035848498 0.0018295095 0.00041102155 0.00028740606 0.0003553946 0.00043265428 0.00030285798 0.0017367979 0.0004481062 0.0016997132 0.00022250791 0.00016688093 0.004505785 0.00043574467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025065104 7.7504965e-06 5.580357e-05 4.8053076e-05 6.820437e-05 3.5652283e-05 0.00029141866 0.00014880953 3.1001985e-06 0.0 1.5500992e-06 4.650298e-06 0.0 0.0 1.5500992e-06 1.5500992e-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 0.005020771 1.3950893e-05 1.8601191e-05 0.00028211807 0.0018678695 0.0012013268 0.008861917 0.0036380829 0.00011780754 4.030258e-05 1.5500992e-06 1.8601191e-05 0.00022011409 2.4801588e-05 0.00029761906 0.0005967882 0.036605593 0.00051308284 0.0016849579 0.0018926711 0.018066406 0.02015129 0.09443359 0.046614584 0.00073784724 0.00044022818 6.820437e-05 0.00010540675 0.00031467015 0.00022011409 0.0012369792 0.0023111978 0.15178882 0.011281622 0.020259796 0.005251736 0.008730159 0.0051742312 0.03965309 0.028269159 0.0036179316 0.0009874132 0.00069444446 0.00048828125 0.0004169767 0.0013625372 0.0015268477 0.0030366443 0.08054005 0.012162078 0.019318886 0.005729167 0.012746465 0.008401537 0.054103114 0.035390314 0.0040597096 0.0006541419 0.0009951637 0.0009579613 0.0007238963 0.0012168279 0.0015206473 0.002749876 0.027725074 0.0044146827 0.0057586185 0.0023406497 0.007621838 0.0045541916 0.0304455 0.016451202 0.0021499875 0.0023359994 0.0010246156 0.000765749 0.0013702877 0.0008789062 0.0014198909 0.0018539187 0.049658976 0.0045092385 0.0035078744 0.0031482514 0.0039264015 0.0043790303 0.0042612227 0.0036039806 0.003233507 0.004825459 0.004501488 0.002077133 0.0037744916 0.0026413691 0.0035187253 0.0031947545 0.004121714 0.000499132 0.00033637154 0.00028056797 0.00035187253 0.00029296876 0.00033947174 0.00034722223 0.00033637154 0.00029296876 0.0005766369 0.00018601191 0.00026196678 0.0005022322 0.00051153277 0.00028676837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3371.0 34.31059 115661.0 0.0010893906 0.00012104339 9.5105526e-05 0.00012104339 0.00083001185 0.00013833531 0.00023344083 0.0002593787 0.003389215 0.0034670287 0.00015562722 0.00019021105 0.0009769931 0.00014698127 0.008706478 0.010867967 0.00024208678 0.00027667062 0.00018156509 0.00020750296 0.0005187574 0.00012968935 0.00012104339 0.0052913255 0.00016427318 0.000112397436 0.00089053356 0.0031557742 0.00015562722 9.5105526e-05 0.00018156509 5.187574e-05 6.0521696e-05 0.011404017 0.0037264074 0.00994285 0.0062250886 0.0024122219 0.0016859616 0.011620166 0.010107123 0.01663482 0.000397714 0.00041500592 0.012406948 0.009389509 0.002576495 0.0045304815 0.0032595256 0.00013833531 0.0013574152 0.016185232 0.008931274 0.00092511735 0.007582504 0.0015649182 0.0009164714 1.7291914e-05 0.0021355513 2.593787e-05 8.645957e-06 4.3229782e-05 0.0 0.046472017 0.000198857 0.06190505 0.015018027 0.022963662 0.047993705 0.104901396 0.003190358 0.014430102 0.008187721 0.055930693 0.0014092909 0.0049454872 0.02995824 0.011473184 0.07113893 0.054581925 0.029923657 0.0011844961 0.058671463 0.026655484 0.07946499 0.023067413 0.015925853 0.01477594 0.0023776381 0.0037523452 0.00022479487 2.593787e-05 1.7291914e-05 8.645957e-06 3.4583827e-05 0.0 4.94917 0.0 0.0 0.0 1.0 323584.0 352256.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528752300.0 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 321024.0 512.0 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 -321024.0 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 -5.71078 0.0 3.2097242 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 -320948.0 0.0 1116.0 0.0 0.0 0.0 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 329056.0 1116.0 335872.0 0.0 0.0 0.0 0.0 12.0 344064.0 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


Input: 0.11323347 0.016139865 0.008059756 0.0044776425 0.007937639 0.001750351 0.0017096453 0.0008344697 0.0038263488 0.0054342295 0.0140943965 0.00071235216 0.0031343496 0.002411821 0.0007327051 0.0012211752 0.0023609386 0.0008955285 0.00056988175 0.00032564672 0.0016078807 0.0021574094 0.00065129343 0.00065129343 0.00091588136 0.00056988175 0.0005495288 0.00024423504 0.00091588136 0.00050882297 0.0004070584 0.0004070584 0.08902367 0.0010990576 0.012028576 0.00038670548 0.0067368164 0.0014043514 0.0006309405 0.00056988175 0.004538701 0.0047625834 0.0032564672 0.0014450573 0.0032462906 0.0038568783 0.008955285 0.004782936 0.0025746443 0.002279527 0.0016587629 0.0024728798 0.0015875277 0.0022591741 0.0012313516 0.0012415281 0.001770704 0.0017401746 0.001791057 0.0044165836 0.002564468 0.0070522865 0.0020352919 0.0005495288 0.007001404 0.0046404656 0.002503409 0.006970875 0.0062279934 0.0056581115 0.004029878 0.0009769402 0.0029511733 0.00589217 0.0005291759 0.00059023465 0.0030427615 0.0015671748 0.0028188794 0.0026865853 0.008202227 0.0020352919 0.007825698 0.0059227 0.0047931126 0.00278835 0.00278835 0.0058819936 0.0011601164 0.0016892924 0.0004070584 0.0016791158 0.0018724686 0.0018622922 0.0014450573 0.005312112 0.00056988175 0.023039505 0.00425376 0.012761281 0.012842692 0.0444406 0.008568579 0.005220524 0.008578756 0.022235565 0.0024627033 0.0012415281 0.016811512 0.0054342295 0.029359087 0.029471027 0.008599108 0.0008955285 0.025634503 0.017625628 0.0374799 0.010033989 0.00508823 0.0051696417 0.0022388212 0.0040705837 0.0011295871 0.0018317627 0.0016485865 0.0030936438 0.000997293 0.00032564672 0.000753058 0.00038670548 0.00028494088 0.0033175258 0.0006919993 0.0018317627 0.00028494088 0.00036635256 0.0006309405 0.0027069384 0.00026458796 0.007795168 0.00050882297 0.0018724686 0.00034599964 0.0006309405 0.00050882297 0.00022388212 0.00032564672 0.00044776424 0.00050882297 0.00028494088 0.00022388212 0.0006105876 0.00032564672 0.00032564672 0.00034599964 0.0003052938 0.00059023465 0.0003052938 0.00028494088 0.00026458796 0.0006105876 0.0008141168 0.00038670548 0.00044776424 0.00038670548 0.00034599964 0.0003052938 0.00038670548 0.00042741132 0.00042741132 0.00028494088 0.0005495288 0.00024423504 0.00038670548 0.0003052938 0.00028494088 0.0006105876 0.0004884701 0.00050882297 0.0004884701 0.0004070584 0.00022388212 0.00038670548 0.00024423504 0.0010787047 0.00026458796 0.0006309405 0.00034599964 0.00038670548 0.00036635256 0.00044776424 0.00044776424 0.0019538803 0.00059023465 0.002055645 0.000997293 0.000997293 0.00036635256 0.00091588136 0.0015468219 0.00036635256 0.00050882297 0.00028494088 0.00032564672 0.0060651703 0.0007327051 0.0004070584 0.00038670548 0.0004884701 0.00026458796 0.00056988175 0.00028494088 0.0006309405 0.0004070584 0.00077341095 0.0009565872 0.0006919993 0.00059023465 0.00059023465 0.0006716463 0.00050882297 0.00026458796 0.00046811716 0.00059023465 0.0004070584 0.0005291759 0.0006105876 0.00038670548 0.00034599964 0.0005291759 0.00034599964 0.0005291759 0.0044572894 0.0004884701 0.00036635256 0.0013839985 0.0008344697 0.00024423504 0.00032564672 0.00044776424 0.0009769402 0.00044776424 0.0004884701 0.00036635256 0.0006716463 0.0006919993 0.0011194106 0.0006716463 0.0013636457 0.00059023465 0.00059023465 0.00059023465 0.00327682 0.013025869 0.017126981 0.025736267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016560587 0.0 0.0018506884 8.707113e-05 0.00018780048 0.00021511692 0.0031721208 0.0013146034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007955912 1.02436625e-05 0.085112885 0.005396703 0.013045304 0.012792627 0.11710214 0.059247635 0.0 3.4145542e-06 0.0 0.0 6.8291083e-06 5.1218312e-06 8.536385e-06 1.195094e-05 0.030611478 0.00067949627 0.02677352 0.00899735 0.014235277 0.008746381 0.05561455 0.030223927 0.00040633194 0.00012975305 0.00010072935 0.0002543843 0.00027316433 7.5120195e-05 0.0005753524 0.00062486343 0.034456268 0.00094070967 0.012840431 0.011032425 0.010988035 0.009154419 0.033691406 0.016345471 0.0013385053 0.00034316268 0.00061632704 0.00046608664 0.0011114373 0.0008263221 0.00086729677 0.0013453343 0.042526565 0.0030235876 0.0052157314 0.0032079737 0.0042357543 0.0038891772 0.0033872377 0.0035460144 0.003976248 0.002926273 0.0028187146 0.0029843203 0.0038157643 0.0037679605 0.003376994 0.033175807 0.03838983 0.003315532 0.009955132 0.004170878 0.005552065 0.0050125658 0.010460487 0.007300317 0.003646744 0.0020931216 0.002070927 0.0023833588 0.0034111396 0.002494332 0.0036791821 0.02193851 0.03055343 0.005828644 0.0053693866 0.0038635682 0.0098407455 0.015823044 0.0038123499 0.008089079 0.013449929 0.0004234047 0.0010311954 0.0012787506 0.009999522 0.0016406933 0.0037986916 0.011071692 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3822.0 42.07849 160824.0 0.15676765 0.00059692585 0.020370094 0.0 7.461573e-05 0.00033577078 0.00037307866 0.0006342337 0.0073869573 0.0072750337 0.0048873303 0.0014550068 0.0038054022 0.0020519325 0.015333532 0.008021191 0.003581555 0.003021937 0.0022384718 0.0023503955 0.0018280854 0.002163856 0.0014923146 0.0015669303 0.0015296225 0.0014550068 0.0023130877 0.006603492 0.003283092 0.011975825 0.0029846292 0.00018653933 0.0011938517 0.007498881 0.0036561708 0.012162364 0.006864647 0.005745411 0.0055961795 0.0012311595 0.004141173 0.009252351 0.00026115504 0.00033577078 0.0034323235 0.001361737 0.003581555 0.0046261754 0.007498881 0.00048500224 0.008170422 0.007722728 0.006043874 0.0026115505 0.0006342337 0.0052977167 0.0010073123 0.0007461573 0.00016788539 0.0015296225 0.0016788539 0.0015296225 0.00014923146 0.007983883 3.7307866e-05 0.041859426 0.0071258023 0.022422027 0.022608565 0.08043575 0.014923146 0.00873004 0.0130577525 0.040068645 0.00059692585 0.0017161617 0.029846292 0.009401582 0.05293986 0.053201016 0.014661991 0.0009326966 0.04626175 0.031562455 0.0583495 0.01413968 0.008543501 0.008916579 0.0026488584 0.0069392626 0.0014176988 0.0027980898 0.0004103865 0.0013057753 0.0 0.0 5.1437645 0.0 0.0 0.0 6.0 294798.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.24020849 0.012637376 0.0068595875 0.00717921 0.007474246 0.00717921 0.007130037 0.003294569 0.0052614757 0.0023111154 0.0039584 0.0023111154 0.0031716372 0.00570403 0.0017948025 0.013424139 0.0055565117 0.0016964572 0.001253903 0.0024094607 0.0014997665 0.006662897 0.0023111154 0.0015981118 0.004007573 0.001253903 0.0009096944 0.0009588671 0.0012047304 0.0016964572 0.0013030757 0.0023357018 0.007130037 0.0008113491 0.0014260075 0.0014260075 0.009760775 0.0028766012 0.0009096944 0.00086052174 0.0027782558 0.0009588671 0.0012293167 0.0020406658 0.0030241192 0.0009588671 0.0027536694 0.0018193888 0.008408527 0.0035650185 0.0018193888 0.0037125365 0.002065252 0.0014751802 0.0010572124 0.0014505938 0.0019177342 0.0013522484 0.0011309714 0.005286062 0.0013768347 0.0016226982 0.00093428075 0.000516313 0.0036387776 0.013178276 0.0030978783 0.004130504 0.0080397315 0.008728149 0.0020898385 0.00221277 0.04295233 0.009908293 0.001032626 0.0014014211 0.008974012 0.006023652 0.0010572124 0.0016718708 0.0028766012 0.0012047304 0.0017948025 0.0028028423 0.0023357018 0.0034175005 0.0017210435 0.0027782558 0.0016472845 0.00078676274 0.0009096944 0.0009588671 0.003147051 0.0012784894 0.0014260075 0.0021144247 0.0020406658 0.0045730583 0.0013768347 0.0039092274 0.0040321588 0.0073759006 0.0065153786 0.0026061514 0.0022865292 0.005359821 0.0004917267 0.0018439752 0.0036387776 0.0021390112 0.0037862957 0.006613724 0.0036879503 0.0008113491 0.00617117 0.004892681 0.015169769 0.004941853 0.0010817987 0.0018931478 0.0013522484 0.0026799105 0.00061465835 0.0007621764 0.0010817987 0.0007375901 0.00093428075 0.0011555577 0.0017210435 0.0015735255 0.0021390112 0.008187249 0.004720576 0.007990559 0.0018193888 0.0010572124 0.0025815652 0.013202862 0.0014260075 0.031372163 0.0008359354 0.011703095 0.000516313 0.00068841735 0.0029011876 0.00071300374 0.00044255404 0.0007621764 0.00071300374 0.0009834534 0.00036879504 0.0004179677 0.0006392447 0.0005654857 0.0013522484 0.00061465835 0.0013768347 0.00054089935 0.0007375901 0.00044255404 0.0013522484 0.00054089935 0.00061465835 0.0005654857 0.0009096944 0.000590072 0.00068841735 0.0004917267 0.0017948025 0.0009588671 0.000590072 0.0006392447 0.000663831 0.00039338137 0.00071300374 0.0006392447 0.0010080397 0.000516313 0.0006392447 0.0004179677 0.0008851081 0.00061465835 0.0021390112 0.0032699825 0.0024832198 0.0013522484 0.0029011876 0.0016718708 0.000590072 0.00061465835 0.00068841735 0.0010817987 0.009318221 0.003147051 0.0013768347 0.0037862957 0.0027782558 0.0008359354 0.0014751802 0.0027290832 0.004474713 0.0027290832 0.0012293167 0.0016718708 0.017800506 0.001032626 0.0015243528 0.0018685615 0.0022865292 0.0017210435 0.0018931478 0.0008359354 0.0008359354 0.000590072 0.0011555577 0.0008851081 0.0016718708 0.0007375901 0.0008359354 0.0012784894 0.000516313 0.000516313 0.000590072 0.00054089935 0.0021390112 0.0007375901 0.0004179677 0.0008359354 0.0007621764 0.00046714037 0.0004179677 0.00078676274 0.0060482384 0.0030732919 0.0004917267 0.0030487056 0.0019914932 0.00068841735 0.0006392447 0.0008851081 0.003147051 0.0010080397 0.0007621764 0.001180144 0.0004179677 0.00061465835 0.001180144 0.0014260075 0.0019914932 0.0011555577 0.001180144 0.0013768347 0.0005654857 0.0010572124 0.0012293167 0.044575024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.038509972 0.0001927426 0.001143606 0.001850329 0.0024157073 0.0007324219 0.0040475945 0.0019145765 0.0003983347 0.00010279605 0.00035978618 8.9946545e-05 0.00044973273 0.00015419407 0.00010279605 0.00016704359 0.038137335 0.0031095806 0.0010793585 0.002287212 0.0003854852 0.00066817435 0.0013234991 0.0012978002 0.0005268298 0.00068102387 0.00042403373 0.00034693666 0.0003983347 0.0007966694 0.0003983347 0.0007709704 0.016588712 0.00034693666 0.00014134457 8.9946545e-05 0.0014905428 0.00047543173 0.0029296875 0.0012464022 0.0007452714 0.00033408718 3.854852e-05 5.1398027e-05 0.0006296258 8.9946545e-05 0.0003983347 0.00071957236 0.043315686 0.0041246917 0.0015804893 0.001978824 0.002814042 0.00286544 0.010973479 0.0058979234 0.0005910773 0.000963713 0.0007324219 0.00053967925 0.0006424753 0.0005653783 0.0007709704 0.0005910773 0.02762644 0.0012978002 0.0017346834 0.0030967311 0.0036878083 0.0014005962 0.0023643093 0.0014005962 0.0026983963 0.0005268298 0.00068102387 0.00088661595 0.0015547903 0.0005782278 0.00089946546 0.0021972656 0.04391961 0.0037906044 0.0031095806 0.0017089844 0.009701378 0.0033922698 0.0107421875 0.0072214226 0.0055124382 0.0015933388 0.00066817435 0.00104081 0.005666632 0.0012721012 0.0019916736 0.003931949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08390728 0.013851768 0.019736841 0.012438322 0.07231703 0.011834395 0.009611431 0.017102694 0.05994295 0.005409642 0.0038034539 0.0113075655 0.037340667 0.008442126 0.01381322 0.040193256 0.032367907 0.007761102 0.009752776 0.009392989 0.026701275 0.0073242188 0.010292455 0.008904708 0.022024054 0.0030967311 0.0042531868 0.0059236228 0.012065686 0.004188939 0.0047800164 0.015380859 0.0042788857 0.0015162418 0.0018888775 0.0025570518 0.0015804893 0.0015676398 0.003572163 0.0022743626 0.0012849506 0.0008609169 0.0007966694 0.0008223684 0.00087376643 0.00095086347 0.0008223684 0.00066817435 267.0 11.955056 3192.0 0.024749374 0.001566416 0.0006265664 0.0006265664 0.017230576 0.0012531328 0.001566416 0.0012531328 0.0028195488 0.0006265664 0.0003132832 0.0021929825 0.00093984965 0.0053258147 0.01566416 0.010025063 0.033834588 0.019736841 0.010338346 0.0040726815 0.0025062656 0.0053258147 0.004385965 0.006265664 0.0018796993 0.0056390977 0.0021929825 0.0034461152 0.0012531328 0.0006265664 0.001566416 0.0 0.0021929825 0.047305763 0.011904762 0.018796992 0.012844612 0.0147243105 0.003132832 0.0028195488 0.020989975 0.006265664 0.00093984965 0.004385965 0.0068922304 0.009085213 0.001566416 0.0037593986 0.00783208 0.001566416 0.008145363 0.010651629 0.007205514 0.0068922304 0.010651629 0.015037594 0.0006265664 0.0012531328 0.006265664 0.00093984965 0.004385965 0.0050125313 0.008458647 0.013784461 0.001566416 0.03132832 0.0068922304 0.02631579 0.020676691 0.04010025 0.032581452 0.014411028 0.012218045 0.038533833 0.0006265664 0.009085213 0.016290726 0.01566416 0.02725564 0.050438598 0.016290726 0.00093984965 0.04197995 0.026942356 0.06171679 0.008458647 0.0018796993 0.00783208 0.007518797 0.011278195 0.0018796993 0.0 0.001566416 0.0 0.0006265664 0.00093984965 5.741806 0.0 6.0 0.0 1.0 40673.0 61440.0 1.0 0.0 42.0 1.0 1.0 0.0 0.0 0.0 2878449000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 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 10.0 0.0 14.0 10.0 10.0 0.0 6.0 2.0 24576.0 1024.0 4096.0 10.0 0.0 0.0 3.0 1.0 0.0 0.0 0.0 0.0 12288.0 -512.0 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 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 -7168.0 -2048.0 1536.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 6.3704176 -2.6563947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8784766 0.0 0.0 0.0 0.0 4.275628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5270504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.3102093 -6.356665 -4.3889985 3.5072327 0.0 0.0 0.0 -2.7035353 0.0 0.0 0.0 0.0 0.0 0.0 11984.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3868.0 0.0 0.0 0.0 0.0 804.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4721.0 -6713.0 -1736.0 1416.0 0.0 0.0 0.0 -32.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 24944.0 1416.0 53248.0 804.0 20480.0 8768.0 35840.0 48.0 57344.0 84.0 14368.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 12336.0 0.0 0.0 352.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.031388164 0.0048238845 0.005370418 0.0037583741 0.0054010362 0.0047611175 0.003335844 0.0039803553 0.004575878 0.0049080844 0.0037216323 0.0037155086 0.0035593563 0.0024739439 0.0043462417 0.0036083453 0.004081395 0.0040905806 0.0055556577 0.0033572768 0.0031980625 0.003580789 0.0030541574 0.0039635156 0.003744596 0.0041594715 0.0023484097 0.0035608872 0.0039772936 0.004185497 0.0030373174 0.0045192344 0.0048346007 0.0038747229 0.003756843 0.0042819437 0.0060088057 0.005146906 0.002899536 0.004085988 0.0027051107 0.002832176 0.0031184554 0.0033465603 0.0028413613 0.002717358 0.004209991 0.003744596 0.003824203 0.0032087788 0.0032761388 0.0046263975 0.0020575377 0.002524464 0.0030510954 0.0035869125 0.004087519 0.003501182 0.0039145267 0.0063226414 0.0032899168 0.0031659135 0.004033937 0.0053658253 0.004082926 0.0039818864 0.0030801827 0.0035103674 0.0038716611 0.003026601 0.0030158847 0.004329402 0.004245202 0.004788674 0.003190408 0.004389107 0.0029745502 0.0023162607 0.00437686 0.0039267736 0.0027005181 0.002587231 0.0026760236 0.003469033 0.003513429 0.003974232 0.0027969652 0.0037721521 0.0028138051 0.0027862487 0.002588762 0.004003319 0.003175099 0.0050060623 0.00304191 0.0040905806 0.004187028 0.0034353528 0.003124579 0.0033159421 0.004151817 0.0027204198 0.002261148 0.005789886 0.0021769481 0.0024448568 0.0018370871 0.0043033767 0.0040109735 0.0026836782 0.0041411007 0.004020159 0.003984948 0.0034629093 0.0027709398 0.004803983 0.004655485 0.0051346584 0.0060271765 0.00709728 0.0033220658 0.002948525 0.0025826383 0.003939021 0.0055250395 0.0024770058 0.004085988 0.0061435257 0.0043937 0.0042436714 0.0048238845 0.003416982 0.0039328975 0.0030510954 0.0029653648 0.004087519 0.0035930362 0.0038349193 0.0031796915 0.0029852665 0.0042865365 0.003432291 0.003922181 0.0034766875 0.0041395696 0.004249795 0.0055694357 0.0034935274 0.0022994208 0.00265306 0.0025612055 0.0037859303 0.0030709973 0.0033771785 0.0020529449 0.0028444233 0.0035608872 0.006114438 0.0037384722 0.005107102 0.0031108009 0.0025137474 0.0026132565 0.0026454055 0.0031000846 0.0021907263 0.002394337 0.0042176456 0.0024417948 0.0029408704 0.004324809 0.003012823 0.0026637763 0.0038364502 0.004211522 0.0037476576 0.0038119557 0.0031720372 0.0033664622 0.0034032038 0.0022688026 0.0039038102 0.003433822 0.0042329547 0.003239397 0.0036343706 0.005535756 0.0069564367 0.002800027 0.003256237 0.003919119 0.004980037 0.004493209 0.0043661436 0.0037354105 0.0041701877 0.0037859303 0.003237866 0.0045973104 0.0033496222 0.004150286 0.0045789396 0.0019289415 0.0021922572 0.0033664622 0.0026943944 0.0055755596 0.004901961 0.0030755901 0.0027755324 0.0028076814 0.003141419 0.0020223267 0.0033940184 0.003743065 0.0040752715 0.0039803553 0.004014035 0.0036527414 0.0035103674 0.0037828686 0.0071967887 0.0030817136 0.0048897136 0.004747339 0.004379922 0.003909934 0.005127004 0.0044671837 0.001821778 0.0039313664 0.004689165 0.0038318576 0.0038839083 0.0034644401 0.0035915053 0.004330933 0.0046769176 0.0068768295 0.0042130533 0.0049341097 0.0056582284 0.0039084028 0.0038303267 0.0033649313 0.0018753598 0.0029546483 0.0038655375 0.007400399 0.004914208 0.0026913327 0.0030342555 0.0068906075 0.0033389057 0.006325703 0.006625761 0.015708683 1.5354756e-06 0.0 2.3032135e-06 1.5354756e-06 0.0 7.677378e-07 1.5354756e-06 7.677378e-07 0.0 7.677378e-07 7.677378e-07 0.0 3.0709512e-06 1.5354756e-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 0.0014679147 1.0748329e-05 1.6890232e-05 7.677378e-07 1.3819281e-05 3.8386893e-06 2.2264396e-05 1.1516067e-05 2.3032135e-06 7.677378e-07 7.677378e-07 6.1419023e-06 3.0709512e-06 3.8386893e-06 5.3741646e-06 2.3032135e-06 0.0027838172 3.0709512e-06 2.6103085e-05 3.838689e-05 4.2993317e-05 2.6103085e-05 0.00015047661 5.6812598e-05 3.0709512e-06 1.5354756e-06 3.0709512e-06 4.606427e-06 0.0 0.0 3.0709512e-06 1.5354756e-06 0.0025964894 0.00018348933 9.980592e-05 2.2264396e-05 1.1516067e-05 2.8406299e-05 6.448998e-05 6.29545e-05 3.147725e-05 9.212854e-06 7.677379e-06 9.212854e-06 3.8386893e-06 1.1516067e-05 7.677378e-07 1.5354756e-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 0.0007861635 0.0 0.0 0.00023569551 0.00032168214 0.00022878587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010318396 9.519949e-05 6.832866e-05 4.3761054e-05 3.147725e-05 1.9193445e-05 6.29545e-05 2.1496659e-05 3.9154627e-05 3.3012726e-05 2.3032135e-05 2.5335348e-05 2.2264396e-05 2.7638562e-05 1.6890232e-05 1.0748329e-05 0.00089748553 0.00015277983 4.452879e-05 3.9154627e-05 6.90964e-05 5.604486e-05 0.00014740566 0.000113625196 1.6122494e-05 4.606427e-06 6.1419023e-06 5.3741646e-06 8.445116e-06 5.3741646e-06 1.5354756e-06 4.606427e-06 0.0012890318 0.0002579599 0.0001704378 0.00011899936 0.00033550142 0.00023569551 0.0012130258 0.00079307315 5.0670697e-05 3.45482e-05 3.531594e-05 3.224499e-05 0.00010441234 2.5335348e-05 3.8386893e-06 1.6890232e-05 0.00085525995 9.980592e-05 9.443175e-05 8.752211e-05 0.0001927022 0.00014663792 0.0005911581 0.0003654432 0.00010287687 0.00010287687 7.677378e-05 7.754152e-05 0.0002211085 4.606427e-05 4.3761054e-05 4.0690105e-05 0.0005497003 3.6851416e-05 3.9154627e-05 4.1457843e-05 8.752211e-05 7.8309255e-05 0.00029941773 0.00016506363 4.913522e-05 3.224499e-05 3.608368e-05 3.224499e-05 9.13608e-05 1.6890232e-05 9.980592e-06 6.9096404e-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 0.00036467545 9.673496e-05 7.370283e-05 9.366401e-05 6.90964e-05 8.675437e-05 0.00018348933 0.00015277983 2.6103085e-05 3.608368e-05 4.1457843e-05 6.2186766e-05 4.2993317e-05 7.139962e-05 5.220617e-05 0.00011899936 0.06498517 0.059647087 0.05993499 0.05865517 0.05722564 0.051545918 0.0520104 0.06741122 0.05948049 0.058537707 0.049883764 0.06183821 0.06080637 0.0591066 0.06800315 0.07161996 2753.0 7.0221577 19332.0 0.012776744 0.009104076 0.009362714 0.010242086 0.012362922 0.009259259 0.006103869 0.01013863 0.0060521415 0.0058452305 0.0068797846 0.0048106764 0.0062073246 0.0055348645 0.0111214565 0.006103869 0.012156011 0.010500724 0.012311194 0.0111214565 0.0069315126 0.00698324 0.010759363 0.012466377 0.011638734 0.007966067 0.01013863 0.012414649 0.007862612 0.0055348645 0.011431823 0.009104076 0.008897166 0.015414856 0.010345541 0.010759363 0.012000828 0.00879371 0.010604179 0.012828471 0.012776744 0.013500931 0.010552452 0.011483551 0.00832816 0.008379889 0.012000828 0.0113283675 0.010397268 0.008069522 0.010966274 0.0119491 0.011173184 0.011793917 0.00993172 0.012000828 0.0078108837 0.0073970617 0.007966067 0.006828057 0.00698324 0.009569625 0.006672874 0.008586799 0.009879991 0.013242292 0.011638734 0.013242292 0.012052556 0.023174012 0.006828057 0.01738051 0.0058969585 0.014173391 0.0042933994 0.009776536 0.014121664 0.009259259 0.013397476 0.015466584 0.011483551 0.0065694186 0.01738051 0.016501138 0.022139458 0.014483757 0.011587006 0.019346163 0.008017794 0.007707428 0.007500517 0.0056900475 0.013656114 0.0041899444 0.012518105 0.010086902 6.504901 1.0 0.0 0.0 5.0 653208.0 663552.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1309560800.0 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 638976.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 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 -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 -7.9438057 0.0 3.0456812 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 -635508.0 0.0 688.0 0.0 0.0 0.0 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 643608.0 688.0 647168.0 0.0 0.0 0.0 0.0 12.0 655360.0 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


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.0008370536 0.0008370536 0.0008370536 0.0 0.0 0.001953125 0.001953125 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.0025111607 0.0030691964 0.0016741072 0.00027901787 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0016741072 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.002232143 0.0011160715 0.0033482143 0.00027901787 0.0055803573 0.0011160715 0.0025111607 0.002232143 0.0011160715 0.00027901787 0.004464286 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024414062 0.03564453 0.034179688 0.03466797 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.011494253 0.007662835 0.007662835 0.0 0.0 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0038314175 0.01532567 0.011494253 0.0038314175 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.019157087 0.026819924 0.10344828 0.0 0.0038314175 0.007662835 0.011494253 0.0 0.0038314175 0.053639848 0.01532567 0.03448276 0.03065134 0.007662835 0.0038314175 0.06130268 0.03065134 0.053639848 0.019157087 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.318667 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1779193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.35904595 0.0030223045 0.0024423026 0.0027470426 0.004565126 0.0027705454 0.0027410674 0.0021853647 0.0031812475 0.0021060926 0.00208976 0.002179788 0.0026713556 0.0020371776 0.0020069026 0.0032553412 0.0026068224 0.0020112845 0.0019650755 0.0020100896 0.0022208183 0.0021220266 0.0019917653 0.0019718476 0.0021706258 0.0019845949 0.0020383724 0.0020347873 0.0021160515 0.0019662706 0.0019567101 0.00198818 0.0024096377 0.001955515 0.001961092 0.002067054 0.0022423293 0.0019861883 0.0019606936 0.0019790179 0.0020367792 0.0019849932 0.001913688 0.0024769593 0.0019953505 0.0021104745 0.0019379876 0.0019897735 0.0020937435 0.0019567101 0.0019391826 0.0025008605 0.0019921637 0.0019674657 0.0019443613 0.00195193 0.0020339906 0.0021041008 0.0019487431 0.002377371 0.0020523148 0.0020061058 0.0019527266 0.0020379743 0.0024673988 0.002387728 0.0021925352 0.003321866 0.0023829478 0.0038771702 0.0022064776 0.00208737 0.0021323839 0.0020475346 0.001999334 0.0019523283 0.002039966 0.0034214542 0.0021084826 0.002043551 0.0025880998 0.0021566835 0.001973441 0.0022156397 0.002078208 0.0033099155 0.002512811 0.0023044725 0.002035584 0.0023594452 0.0019312156 0.0020503232 0.0019634822 0.0025486627 0.0023088544 0.0022164364 0.0021407492 0.0022865464 0.0019618887 0.0022188264 0.0021602686 0.002531932 0.002329967 0.0019559134 0.0022279886 0.002168634 0.0023813546 0.0019714492 0.0021176448 0.0020367792 0.002168634 0.0022315737 0.0020869717 0.0019248419 0.00245505 0.0022479063 0.003206742 0.0032589263 0.0021750077 0.002015268 0.0020248285 0.0020475346 0.0019654739 0.0019164765 0.0020248285 0.002283758 0.0020901584 0.0020475346 0.0021379609 0.0020977273 0.0019244435 0.0031115357 0.0022152413 0.0026530314 0.0019527266 0.0019810097 0.002203689 0.0036923345 0.002015268 0.0063887862 0.0020200482 0.0027155727 0.0019921637 0.0019077128 0.002099719 0.0019156798 0.0019399794 0.0020212433 0.0020618753 0.0020224384 0.0019021358 0.0019363941 0.0020798012 0.0019818065 0.0018965589 0.0019320123 0.0020168615 0.0019216551 0.0019822048 0.0019296221 0.002043551 0.0019861883 0.0019451579 0.0019849932 0.0020487297 0.00195193 0.0019304189 0.0019344024 0.0021311888 0.001919265 0.0019415728 0.0019614904 0.0020694442 0.0018925753 0.0019065177 0.0018678774 0.0021013124 0.0019224518 0.0019224518 0.0019252403 0.00201965 0.0019200617 0.0022044857 0.0023801595 0.0022355574 0.0019965456 0.001881023 0.0018750478 0.0021136613 0.0019754327 0.0019128914 0.0019539217 0.0028111774 0.0023474945 0.0023016839 0.0024028656 0.00218895 0.0019471498 0.0021861615 0.0022793761 0.0023000906 0.002164252 0.002092947 0.0019865867 0.0023510796 0.0019148831 0.0021180431 0.0020057077 0.0022367523 0.0020527132 0.0019997323 0.002335544 0.002149513 0.0019451579 0.0019818065 0.0019559134 0.0022343623 0.0020419578 0.0019355975 0.0021463262 0.002141546 0.0020339906 0.0019965456 0.0019917653 0.002308456 0.0019367925 0.0019730427 0.0019511333 0.0021443344 0.0021371641 0.0019017374 0.001983798 0.0037242027 0.002198909 0.0019738392 0.0025243633 0.0026980452 0.0019471498 0.0019351991 0.0019841965 0.002514006 0.002122425 0.0019312156 0.0020256252 0.0021594719 0.0019196634 0.002141546 0.0020642655 0.00236064 0.0020582902 0.0019889767 0.0019977405 0.002464212 0.0020925486 0.002718361 0.0830833 0.06851224 9.964923e-07 1.3950893e-06 3.9859694e-07 9.964923e-07 9.964923e-07 0.0 7.971939e-07 5.978954e-07 1.9929847e-07 5.978954e-07 3.9859694e-07 3.9859694e-07 3.9859694e-07 1.9929847e-07 5.082111e-05 0.004901945 1.1957908e-06 1.3950893e-06 8.171237e-06 9.964923e-07 0.0 1.9929847e-07 0.0 3.9859694e-07 0.0 0.0 0.0 0.0 0.0 4.783163e-06 0.00038703764 0.037009526 1.175861e-05 9.566326e-06 1.7936862e-05 2.9296874e-05 1.1360013e-05 1.9132653e-05 7.573342e-06 1.1160714e-05 3.5873725e-06 5.580357e-06 6.9754465e-06 1.9929846e-06 4.384566e-06 1.7737564e-05 0.007730389 0.034933433 5.8394453e-05 2.2520728e-05 6.7163586e-05 4.2450574e-05 4.683514e-05 1.1360013e-05 3.3083546e-05 1.7338967e-05 2.5111607e-05 2.5908801e-05 1.5345982e-05 4.0656887e-05 3.128986e-05 3.148916e-05 0.012352718 0.06442861 0.00028180802 0.00015106823 0.00018594548 0.00020029496 0.00014429209 9.646046e-05 0.00011579241 8.968431e-05 0.00010682398 0.00011061065 8.410395e-05 0.0001303412 0.0001309391 0.00017518335 0.047853753 0.009229512 9.506537e-05 7.9719386e-05 3.7069516e-05 5.998884e-05 4.0058992e-05 3.647162e-05 5.20169e-05 5.9390943e-05 5.3810585e-05 3.4677934e-05 4.962532e-05 3.8265305e-05 6.098533e-05 7.354114e-05 0.0067344946 0.0034343111 6.277902e-05 8.4303254e-05 1.9132653e-05 5.9191647e-05 1.5943877e-05 0.00016003667 9.5264666e-05 4.165338e-05 2.5510204e-05 2.869898e-05 3.0094068e-05 2.471301e-05 3.7268816e-05 3.9461098e-05 0.0019640864 0.004139828 6.43734e-05 0.00022999043 5.20169e-05 0.0004850925 0.00011858259 0.00031489157 0.0001694037 2.7104592e-05 5.341199e-05 2.6905293e-05 2.869898e-05 5.7995854e-05 0.00013193558 6.616709e-05 0.00056421396 0.0013289222 2.5111607e-05 5.8394453e-05 3.4279336e-05 0.0002347736 4.942602e-05 0.0002479273 0.00015286193 1.5943877e-05 1.7737564e-05 1.674107e-05 1.175861e-05 3.408004e-05 2.1723534e-05 3.4677934e-05 0.00016462053 0.0016802854 5.9590242e-05 0.00017458545 6.43734e-05 0.00039660395 0.00014588649 0.0011025191 0.0006034758 3.2286353e-05 7.5135526e-05 4.7632333e-05 2.3317922e-05 2.6108099e-05 2.5111607e-05 1.4947385e-05 1.7936862e-05 0.0018457031 6.0387436e-05 0.00012456154 5.600287e-05 0.00033741232 0.000117984695 0.0005687978 0.00037567763 9.386958e-05 6.855867e-05 7.453763e-05 7.2544644e-05 7.3341835e-05 6.238042e-05 6.676499e-05 8.3107465e-05 0.0011108897 3.7069516e-05 9.12787e-05 3.527583e-05 0.0002636719 0.00010104432 0.0003758769 0.00021464445 0.00012336575 3.746811e-05 5.7995854e-05 9.8652745e-05 7.533482e-05 7.3341835e-05 7.3341835e-05 8.789063e-05 0.0006008849 4.424426e-05 5.978954e-05 3.6670917e-05 0.00018395249 4.6237245e-05 0.00010682398 7.1348855e-05 8.649554e-05 4.962532e-05 2.2720025e-05 4.683514e-05 5.5404973e-05 5.859375e-05 6.8359375e-05 9.466677e-05 0.0051293448 0.0008215083 0.0005458785 0.00077487243 0.0017476482 0.0019144611 0.0006351642 0.0013691805 0.0035479113 0.00030492665 0.00029097576 0.0004139429 0.0016476004 0.0004665577 0.0016019611 0.0028696987 0.12608558 0.02279277 0.022554409 0.022737365 0.025795002 0.0249717 0.022487843 0.023817362 0.028155493 0.021954121 0.021985611 0.022756496 0.024467673 0.023248166 0.024274355 0.025997689 0.03450753 0.008753388 0.00882374 0.008747808 0.00879265 0.008830118 0.008739238 0.0087115355 0.00872748 0.008882135 0.008800024 0.008719707 0.008743622 0.008845066 0.008799825 0.008698581 3368.0 7.888064 26567.0 0.01930967 0.0063236346 0.0064741974 0.0057213837 0.00662476 0.005570821 0.006022509 0.007264652 0.0063612754 0.0060977903 0.006173072 0.006022509 0.006135431 0.0057590245 0.00993714 0.005457899 0.006737682 0.0069258856 0.0059095873 0.0067000412 0.0057213837 0.00606015 0.005796665 0.0067000412 0.0057213837 0.007227011 0.0054955394 0.007678699 0.006398916 0.005457899 0.0058719465 0.0098995 0.018820342 0.011743893 0.008431513 0.011743893 0.008770279 0.008168028 0.008657357 0.010426469 0.0094854515 0.009033764 0.0058343057 0.0069635264 0.0075281365 0.007452855 0.007791621 0.007452855 0.011630971 0.0065871193 0.0076410584 0.010351188 0.008506794 0.0069635264 0.010802876 0.010577031 0.0070011667 0.005646102 0.0063612754 0.0068129636 0.006135431 0.0059472276 0.0068882448 0.012383784 0.007339933 0.02600971 0.009673655 0.025633305 0.019046186 0.048330635 0.008318591 0.010351188 0.010087702 0.024391161 0.0070764483 0.008055106 0.02149283 0.010689953 0.0264614 0.03270975 0.012835473 0.0053826175 0.036737304 0.020777656 0.036022134 0.017916964 0.009071404 0.0070011667 0.009334889 0.012722551 0.006248353 0.006135431 0.0064365566 0.0059848684 0.007114089 0.006511838 6.3051634 0.0 0.0 0.0 19.0 2510336.0 11935744.0 0.0 0.0 112.0 0.0 1.0 0.0 0.0 0.0 1472651000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 10.0 5.0 0.0 217088.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1497088.0 0.0 0.0 44544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -217088.0 0.0 740864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0258737 0.0 0.0 4.7563934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.45992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8716717 0.0 1.108893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1500256.0 0.0 0.0 44302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9423904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -216705.0 0.0 740688.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 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 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 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 262724.0 740688.0 11194368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 248296.0 0.0 0.0 460.0 221184.0 0.0 0.0 0.0 0.0


Input: 0.17574587 0.009450435 0.004661591 0.0050017964 0.009863355 0.0032401737 0.00266018 0.0020646043 0.010532512 0.002606509 0.0014179547 0.0017823984 0.0075217388 0.0013322541 0.0010422573 0.005940174 0.0058518765 0.003479962 0.001622251 0.00082324474 0.0035708565 0.0027000005 0.00093145255 0.00061288883 0.0029545052 0.0011227638 0.00055142684 0.0007834243 0.001942546 0.00052112865 0.0010621676 0.00063799304 0.0042504016 0.0005479642 0.0012396283 0.0006094262 0.010500482 0.0012517476 0.0004094582 0.00037829438 0.0014638348 0.0006111575 0.0006414557 0.0020239183 0.0011547934 0.0011824946 0.0008059315 0.00040859258 0.0024255854 0.0005860533 0.00055142684 0.0058285035 0.0010318693 0.00067867915 0.00049602444 0.0004310998 0.0014240143 0.002214364 0.00066050026 0.003641841 0.0012932994 0.0011617187 0.0005479642 0.0013417765 0.004262521 0.0020100677 0.004871081 0.002462809 0.005302181 0.009050499 0.0039422256 0.0017252648 0.0021788718 0.0059142043 0.003070504 0.0032644123 0.005655371 0.0051091383 0.0016586088 0.00089422904 0.009079931 0.0028532227 0.0014499841 0.0031639955 0.0029449828 0.0024532867 0.005333345 0.0036756017 0.0012361656 0.0027926264 0.0005652774 0.001224912 0.0012751204 0.0021078875 0.0032843223 0.0022567813 0.0010439886 0.0018395322 0.00060163526 0.0013210005 0.0020767236 0.0037379295 0.0031259062 0.0007384099 0.0031051303 0.0018577111 0.0050797057 0.0007401412 0.0020949026 0.0008267074 0.0017806671 0.0018871436 0.0019719785 0.0007306189 0.0024671373 0.001980635 0.011657873 0.01061475 0.0017131455 0.0016153257 0.0013106125 0.001411895 0.0003938763 0.0005955756 0.0021762748 0.0031146526 0.0016084004 0.0011669126 0.003087817 0.0016213853 0.000968676 0.010967075 0.0021295291 0.006353095 0.00065357494 0.00080246886 0.0013738059 0.009277302 0.0009807952 0.02909404 0.000912408 0.008943156 0.00045187568 0.0004691889 0.001094197 0.0002891312 0.00051420333 0.0008370954 0.00079814054 0.0005193973 0.00031683236 0.0002674896 0.0011322862 0.0007557231 0.00031077274 0.00039733897 0.00066569424 0.00032808597 0.00035924983 0.00065530627 0.0008370954 0.0012335686 0.00059211295 0.0006648286 0.0005886503 0.000904617 0.00031077274 0.0002891312 0.0007886183 0.00043889074 0.0011807632 0.0003003848 0.0006362617 0.00051160634 0.00038781666 0.00034539922 0.0008249761 0.0003523245 0.00043802508 0.00040599558 0.000709843 0.00093751214 0.0012725234 0.0010561079 0.0025173456 0.00053671055 0.00044148773 0.00090634834 0.0008267074 0.00078948395 0.0007972749 0.0006648286 0.008074031 0.0029311322 0.0040383143 0.0046200394 0.0028826552 0.0006942611 0.0027389552 0.003426291 0.0026125684 0.0022334084 0.00091933325 0.0008803785 0.012694071 0.00063799304 0.0026480607 0.0014318053 0.0016586088 0.0010361976 0.0011651813 0.00094010914 0.0013253288 0.0006094262 0.0009574224 0.001237897 0.0020100677 0.0009305869 0.00096954167 0.001819622 0.0020767236 0.0017252648 0.0016638028 0.0018958002 0.0036167367 0.0022386024 0.002483585 0.002403944 0.0041274773 0.004205387 0.0035552748 0.0030912797 0.018107057 0.0058059962 0.0025736138 0.006042322 0.00591507 0.0020074707 0.0031492792 0.0042348197 0.007754602 0.006547869 0.006353961 0.006418885 0.006153993 0.0042980127 0.0064413925 0.0062587378 0.008348446 0.0063816616 0.0058207125 0.0060899337 0.010777495 0.007616096 0.008661816 0.12693551 0.014883263 3.4660603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0001663709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036852886 0.00016333809 6.238909e-05 3.9426435e-05 1.1697954e-05 2.989477e-05 2.5995453e-06 2.5995453e-06 1.9496589e-05 2.5995453e-06 2.5995453e-06 2.5995453e-06 3.0328029e-06 2.1662877e-06 2.9461513e-05 0.020785531 0.005130636 0.00026991946 5.502371e-05 7.8419616e-05 1.1697954e-05 4.5058783e-05 0.00020363105 7.75531e-05 3.6393634e-05 6.238909e-05 0.0001174128 6.6288405e-05 1.9063333e-05 4.1592724e-05 9.055083e-05 0.01765178 0.005056982 0.0003682689 0.00019236635 0.00013257681 1.1264696e-05 0.00011784605 0.00023222604 0.00043022473 0.000107881126 9.704969e-05 0.0002417577 0.0002959149 0.00012997726 0.00015120688 0.001979987 0.047242403 0.010626508 0.0012659786 0.00046791814 0.00042329263 4.2025982e-05 0.00036653588 0.00044018967 0.0003071796 0.0003336083 0.00028638323 6.195583e-05 6.8021436e-05 0.00036480284 0.00022832672 0.022199683 0.046812177 0.003288858 0.00010008249 8.05859e-05 4.8091588e-05 5.589022e-05 5.978954e-05 6.498863e-05 4.3759013e-05 0.0001520734 0.00019020007 8.968431e-05 2.7728483e-05 1.7330301e-05 4.072621e-05 0.008818524 0.011766409 0.0052879085 0.00016767067 0.00015943877 4.59253e-05 0.0003132452 5.2424162e-05 0.0002326593 0.00015250666 4.939136e-05 0.00011481325 5.459045e-05 9.358363e-05 6.412212e-05 0.003083494 0.0021545899 0.003945243 0.038772218 0.0010138226 0.0016832056 0.0006009282 0.0041185464 0.00075776747 0.0028521344 0.0018118831 0.00064728677 0.00093713606 0.0005931296 0.00043585707 0.00047744982 0.0037905702 0.004004166 0.009376126 0.010796778 0.0002785846 0.00053680607 0.00028205066 0.0013959558 0.00037216823 0.0009592322 0.0006251906 0.00031714453 0.00013690938 0.00012001234 0.00015900552 0.0002785846 0.00017720234 0.00028031762 0.0019175978 0.007763542 0.0006329893 0.00043239104 0.00034833906 0.0019305956 0.00096616434 0.0035427469 0.002016814 0.00026688664 0.00013127703 0.00015683923 0.00017070347 0.00023439233 0.000415494 0.0006524859 0.0016338142 0.015985036 0.0010606145 0.0013162364 0.0012616459 0.0054685767 0.001534165 0.0044049295 0.002790612 0.00049348036 0.00041246117 0.0005346398 0.00045492043 0.00055630266 0.0003635031 0.00045492043 0.0010623474 0.010253906 0.00087084767 0.0013955225 0.0008695479 0.0050916425 0.0010588814 0.0022039812 0.0027615835 0.0010350522 0.00039556413 0.0004952134 0.00045058783 0.0020059824 0.0006737155 0.000605694 0.00088817795 0.007553412 0.0010237875 0.0014388483 0.00074736925 0.0022178453 0.0013634615 0.0013898902 0.0013968223 0.0028417362 0.00026602013 0.00044018967 0.00045578694 0.0050002253 0.00045448716 0.0010337525 0.0016576434 0.042911127 0.007952009 0.0085247755 0.006932121 0.014795312 0.014209981 0.005150999 0.010449738 0.027977172 0.0024206098 0.0028880949 0.005050483 0.020977898 0.004037527 0.011207939 0.023919716 0.06246924 0.013821349 0.011047634 0.01240373 0.025538798 0.024603829 0.010109198 0.021629084 0.043617338 0.0037277478 0.0041103144 0.0055760248 0.023221739 0.008510478 0.020021698 0.042333595 0.00029548164 0.00016593764 7.8419616e-05 9.358363e-05 8.101916e-05 8.4051964e-05 6.282234e-05 5.632348e-05 9.704969e-05 6.585514e-05 0.000110913934 0.0001806684 0.00016247158 6.0656057e-05 9.4450144e-05 8.491848e-05 2734.0 12.795538 34983.0 0.021296058 0.0008861447 0.0012577538 0.0011719979 0.010948175 0.0007432181 0.0021438985 0.0017722894 0.0019438013 0.0061458424 0.00274419 0.0064316955 0.0028871165 0.0040876996 0.010405054 0.0028013606 0.004116285 0.0014006803 0.0024869223 0.0050024297 0.0027156046 0.00051453564 0.0013435096 0.0006574622 0.002000972 0.0060029156 0.0026012636 0.0028871165 0.004001944 0.0033158963 0.00091473 0.009204471 0.02341137 0.021038791 0.0044021383 0.019409427 0.020895863 0.0073750108 0.010262127 0.022096448 0.005745648 0.012005831 0.0013435096 0.0012863391 0.0083469115 0.006060086 0.009118714 0.005459795 0.022039276 0.004745162 0.008632764 0.026441414 0.008175399 0.006746134 0.027670583 0.0214104 0.0073750108 0.0041734558 0.0058028186 0.0032587256 0.0026584342 0.003744676 0.004830918 0.016122116 0.0022582398 0.03538862 0.007146328 0.020324158 0.016979676 0.063030615 0.0065174513 0.011662807 0.0100620305 0.035817396 0.005859989 0.00274419 0.028699653 0.012291685 0.030357603 0.035960324 0.013435097 0.00040019437 0.035645884 0.02361147 0.0611154 0.016207872 0.0048023327 0.0083469115 0.0062601836 0.01958094 0.001000486 0.00037160906 0.0015721922 0.0013149244 0.0012863391 0.0010290713 5.8324814 0.0 0.0 0.0 3.0 1155185.0 1171456.0 0.0 0.0 566.0 0.0 1.0 0.0 0.0 0.0 1156748900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 638976.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0765996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5278006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6523447 0.0 4.595855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166102.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638372.0 0.0 326212.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 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 1.0 -2.0 0.0 0.0 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 -2.0 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 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 3.0 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 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 1.0 -2.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 797324.0 326212.0 843776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 731680.0 0.0 0.0 2312.0 643072.0 64.0 797148.0 0.0 0.0