Input: 0.17039782 0.017775632 0.015401433 0.0072720987 0.012286583 0.009863007 0.012785836 0.01412861 0.018425759 0.016613906 0.025749978 0.022562435 0.0033013849 0.0039885445 0.003332931 0.004063981 0.006095286 0.013950305 0.0076684845 0.012329102 0.006128204 0.005809998 0.0101963 0.010105776 0.009116869 0.009071607 0.014845945 0.0014634721 0.0013962649 0.0018680872 0.0018283115 0.0033123575 0.006948407 0.0006432694 0.00041284453 0.0011041191 0.0004197024 0.002736295 0.0017076128 0.0005074833 0.0049349326 0.0018516283 0.0016554929 0.0027225795 0.003092905 0.0016513781 0.0011644685 0.0009710762 0.0029159717 0.001486789 0.0013756913 0.0018091095 0.0013016261 0.0013318008 0.001648635 0.0011137201 0.002017589 0.0015018763 0.0014428985 0.0005074833 0.0007447661 0.00053628645 0.0008133449 0.0006007505 0.0008243175 0.0028172182 0.0018283115 0.004191538 0.0034920338 0.0028227046 0.0017761916 0.0011548675 0.00072144927 0.0021437742 0.0003456373 0.00081471645 0.0016637223 0.0013263145 0.0012111021 0.0014552427 0.0027472677 0.0006172095 0.0017940222 0.0029722063 0.0018612294 0.0011480096 0.0019215788 0.00082568906 0.0013482597 0.0011672117 0.00065835676 0.000528057 0.0005746906 0.0007447661 0.00041695926 0.0048306924 0.0007598534 0.0048156055 0.0018200821 0.0021492604 0.0031354239 0.009067493 0.0021533752 0.002057365 0.0010739444 0.005066604 0.0004965107 0.0013414018 0.0039597414 0.0020587363 0.0048032613 0.007996291 0.0041010138 0.0013057409 0.0077891834 0.0039213374 0.0072995303 0.0022246973 0.0012385336 0.0007817986 0.00092169945 0.0014140954 0.00047182234 0.004032435 0.0007118482 0.0022233257 0.0015430236 0.00062543893 0.0034824328 0.0011768127 0.001013595 0.00087918056 0.0007502524 0.00080374384 0.0012714515 0.00075848185 0.0012591073 0.00097381935 0.0010423982 0.0015690835 0.0014579858 0.0016212035 0.0014799311 0.0012028726 0.0006597283 0.00094364467 0.0010122235 0.0009642183 0.0010437698 0.00047868022 0.0010890318 0.0010478845 0.0014044944 0.0013825492 0.00072007766 0.00065287045 0.002840535 0.0013098556 0.00082020275 0.0009998793 0.0009875351 0.0008764374 0.0009463878 0.0005596032 0.0014579858 0.001405866 0.0011603538 0.0006268105 0.000842148 0.0015731982 0.0009559888 0.00052942854 0.0011164633 0.00051982753 0.00096833304 0.0014497564 0.0010423982 0.0014195817 0.000528057 0.000761225 0.0013139703 0.0009175847 0.0011137201 0.0006610999 0.0007447661 0.0019023767 0.0010794307 0.00070499035 0.00064601254 0.0016801812 0.00079414283 0.0017391591 0.000528057 0.001415467 0.0010629718 0.0017227002 0.001405866 0.0010163382 0.0010835455 0.0015869141 0.001363347 0.0012810525 0.0015800562 0.0019558682 0.0014374122 0.0011342939 0.00075299555 0.0021190858 0.0015965151 0.0016212035 0.0016746949 0.00097381935 0.0028528792 0.00210537 0.0033219585 0.0077891834 0.00043616135 0.000618581 0.0002043649 0.00034838045 0.00048142337 0.0004910244 0.0014785596 0.0003223205 0.00046633603 0.00062543893 0.017531492 0.00030860474 0.0002221954 0.00022356698 0.0004512487 0.0002633427 0.0002564848 0.00029626052 0.00029351737 0.00045810657 0.000268829 0.0002043649 0.00017144707 0.00028803106 0.00047593706 0.0003099763 0.00036072463 0.00024414062 0.0002798016 0.00037718355 0.0003566099 0.00032369207 0.00038952773 0.00035523833 0.00033603626 0.000573319 0.0004032435 0.0005486306 0.0034179688 0.17710482 0.009797215 0.0 4.1205167e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.867528e-07 0.0 0.0 4.3265427e-05 0.00919562 3.708465e-05 4.1205167e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.867528e-07 0.0 0.0 0.0006077762 0.0012286007 0.00011606122 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1807754e-05 0.006840058 0.00046973894 1.5795315e-05 1.4421809e-05 2.953037e-05 1.7855573e-05 8.035008e-05 2.678336e-05 2.7470112e-06 0.0 2.0602583e-06 1.3735056e-06 6.867528e-07 0.0 1.3735056e-06 0.0037489836 0.0076353177 0.00041342518 0.0006956806 0.00023898997 0.000300111 2.7470112e-05 0.00010988045 4.8759448e-05 1.5795315e-05 6.1807755e-06 4.8072698e-06 2.0602583e-06 2.678336e-05 5.9747494e-05 0.0019352695 0.0011379494 0.0073448215 0.0005748121 0.00011812148 0.00019160403 0.00038664183 0.00033719564 0.0002884362 0.00014971211 0.00014009757 1.3048303e-05 8.721761e-05 9.6145395e-06 2.0602585e-05 2.4036348e-05 0.0019840288 0.0009882373 0.0060516656 0.0008398987 0.0001703147 0.00167499 0.0010685874 0.000111253954 0.00020533909 0.00014627835 0.00042303975 1.8542325e-05 0.00018817028 1.2361551e-05 0.00010782019 3.0903877e-05 0.0017498462 0.0012656854 0.011621918 0.002161898 0.00089758594 0.002053391 0.0055990955 0.003675501 0.011954307 0.0058126757 0.0007176567 0.0002836289 0.0003159063 0.00015520613 0.00016756769 0.00033719564 0.0008598145 0.0068325037 0.07942022 0.0076607275 0.008995775 0.0073530623 0.013395114 0.00967772 0.027202278 0.017032843 0.0023212244 0.0009916711 0.0011509977 0.001091937 0.0009326103 0.001400289 0.0018768954 0.014995934 0.0958446 0.04116259 0.010249099 0.0031652437 0.0029248802 0.0034371978 0.0057192775 0.007526124 0.0055414084 0.005220695 0.0045524845 0.0043100608 0.0061409436 0.005294177 0.0037661525 0.04127728 0.086408615 0.04875121 0.00589646 0.0025739495 0.0020492703 0.0029708927 0.0043897238 0.0060193883 0.005825724 0.0070419633 0.006131329 0.0076002935 0.010054061 0.015609205 0.0072006034 0.09793301 0.02404665 0.00898204 0.0026124078 0.0023164172 0.0014181446 0.0013968552 0.001783497 0.002306116 0.0028101925 0.0020650658 0.0019675468 0.0019366429 0.0021007769 0.0019599926 0.0015163502 0.011104793 0.00687989 0.0029880614 0.00096488773 0.00065722247 0.0006682105 0.0006009087 0.0005020163 0.0010294424 0.0010562259 0.0010878164 0.0008824774 0.0011187203 0.0011894559 0.0009621407 0.0010912502 0.0050441995 0.0047049434 0.0010672138 0.0017361111 0.00082341663 0.00071696995 0.0017306171 0.00051506463 0.0004896548 0.0017319906 0.00061189674 0.0006737045 0.0007568016 0.0006812588 0.00063936686 0.0003550512 0.001050045 0.0002781349 9.339838e-05 0.0001703147 9.9579156e-05 5.5626977e-05 0.00019160403 2.678336e-05 2.8843619e-05 0.00017512197 5.287997e-05 3.365089e-05 7.41693e-05 5.0819708e-05 3.5024394e-05 2.1289337e-05 1.9229079e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3375.0 15.690371 52955.0 0.00056651875 0.00030214334 0.0001321877 0.00050986686 0.00024549145 3.7767917e-05 7.5535834e-05 1.8883959e-05 0.00011330375 5.6651876e-05 3.7767917e-05 0.00033991123 0.0002643754 0.00024549145 0.0015673685 0.00028325937 0.011896893 0.011840242 0.012538948 0.011500331 0.009857426 0.0110848835 0.009857426 0.009706355 0.009423095 0.0090831835 0.00015107167 0.00011330375 0.00096308184 0.0005287508 0.00028325937 0.00016995562 7.5535834e-05 0.0256633 0.01803418 0.034557644 0.030157682 0.025474459 0.017486544 0.00634501 0.0034179965 0.016410159 3.7767917e-05 0.0056274193 0.010952695 0.010952695 0.009366443 0.009744123 0.01522047 0.0013785289 0.015730336 0.025021244 0.015182702 0.0069304127 0.006817109 0.0032480408 0.00083089416 0.0016051364 0.0003210273 0.0003587952 0.0003210273 0.00020772354 3.7767917e-05 0.03937305 0.0002266075 0.04250779 0.010046266 0.013709754 0.021017846 0.08250401 0.010744972 0.016108016 0.0048531774 0.03553961 0.00062317064 0.0046454538 0.0262487 0.016447928 0.035558492 0.033934474 0.013917477 0.0008120102 0.03654046 0.030157682 0.056708526 0.015541498 0.004947597 0.0034557644 0.0035501842 0.007666887 0.0009441979 1.8883959e-05 3.7767917e-05 0.00011330375 0.00015107167 3.7767917e-05 5.493801 0.0 0.0 0.0 2.0 729088.0 753664.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541173200.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 356352.0 512.0 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 -356352.0 0.0 371712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9967027 0.0 4.887747 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 -355896.0 0.0 371436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 361768.0 371436.0 368640.0 0.0 0.0 0.0 0.0 12.0 745472.0 28.0 361456.0 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: 0.10282687 0.007199171 0.00534529 0.006492553 0.006278185 0.0036462303 0.0036105025 0.0035886688 0.007836319 0.002782806 0.002987249 0.0037415046 0.0071773375 0.00314207 0.00288602 0.009249555 0.0054643834 0.0024513307 0.0023639959 0.0022965097 0.0036204269 0.0030289316 0.0027113503 0.002445376 0.003465606 0.0024533155 0.0023044492 0.0025088922 0.0028602167 0.0020801576 0.0023123887 0.002667683 0.0045612613 0.002209175 0.0022468877 0.002838383 0.0036442454 0.0021774168 0.0020960367 0.0023858296 0.0027391387 0.0019888529 0.0021019913 0.0036720338 0.0025366805 0.0030984026 0.0023600261 0.0020841274 0.0031381003 0.0022846004 0.002141689 0.00738972 0.002546605 0.0023342227 0.0022131447 0.0022508574 0.0026260004 0.002699441 0.0022707062 0.0039479327 0.0024850736 0.0025803482 0.0022528423 0.0025565294 0.0043568183 0.0040174033 0.0049324348 0.0067863152 0.0035231675 0.008257113 0.005075346 0.004005494 0.0031559642 0.002651804 0.0024215574 0.0022270388 0.002699441 0.005168636 0.002768912 0.0025386654 0.00594274 0.0029932037 0.0025743935 0.0035489711 0.0025803482 0.0046962337 0.0044223196 0.0039161746 0.0026061516 0.004005494 0.0023044492 0.0027867758 0.0024195726 0.004420335 0.0035708048 0.0032730722 0.0032810117 0.0035588956 0.0022806306 0.0029753398 0.0034834698 0.0049304496 0.0043548336 0.002494998 0.0038625826 0.0033246793 0.005047558 0.0023104039 0.0031996316 0.00297137 0.003717686 0.0040551163 0.0034040746 0.002598212 0.00407298 0.0043945312 0.007957396 0.008187643 0.0028026549 0.0025545445 0.0030329013 0.002701426 0.002379875 0.0021476436 0.0026537888 0.0036561547 0.0028999143 0.002751048 0.0060241204 0.0032174955 0.002068248 0.008602483 0.0032691024 0.009291238 0.0021039762 0.00220719 0.002953506 0.009019309 0.0025366805 0.020795621 0.0024334667 0.007353992 0.0021218401 0.0023421622 0.0022190993 0.0019908377 0.002052369 0.0022826155 0.0023223134 0.0027411235 0.001883654 0.0020067168 0.0025327108 0.002123825 0.0019293064 0.0021317645 0.002258797 0.0022468877 0.0021119157 0.0025029376 0.0028483074 0.0026577585 0.0019729738 0.0024533155 0.0023262831 0.0019908377 0.0021119157 0.0017883797 0.00246324 0.002173447 0.0021198553 0.0022984946 0.0020861123 0.0019928226 0.0020622935 0.002290555 0.0024989678 0.0022052051 0.0020285505 0.002090082 0.0024850736 0.0024414062 0.004229786 0.0026597434 0.0029316724 0.0024652248 0.0024414062 0.0020940518 0.0023362075 0.002330253 0.0023044492 0.00229254 0.007997094 0.007764863 0.0038605977 0.0049463287 0.0038089908 0.0022667365 0.0037712778 0.004995951 0.004811357 0.004299257 0.0027431084 0.0027093654 0.0077628777 0.0021119157 0.0027470782 0.0027748665 0.0034437722 0.0028602167 0.0024691946 0.002477134 0.0025962272 0.002105961 0.0024930132 0.0021178704 0.003124206 0.0023560564 0.0023123887 0.0026934864 0.0028125795 0.0020781728 0.0022310086 0.0023501017 0.004229786 0.002854262 0.0021932959 0.0024533155 0.0034417873 0.002836398 0.0022369632 0.0022131447 0.010087176 0.0038129606 0.002379875 0.0044600326 0.0049165557 0.0023024643 0.002649819 0.0028483074 0.004993966 0.0027649421 0.0023639959 0.0031142817 0.0037553988 0.002681577 0.0041285567 0.0029138085 0.0052916985 0.0030289316 0.0028641864 0.003856628 0.0046108835 0.0038764768 0.004811357 0.035011355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001723404 4.3756365e-05 3.778959e-05 4.972314e-06 4.3756365e-05 1.2928017e-05 1.9889256e-05 2.486157e-05 1.8894794e-05 7.955703e-06 1.6905868e-05 6.9612397e-06 3.9778515e-06 1.0939091e-05 1.6905868e-05 4.27619e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007565873 1.5911406e-05 0.00028242744 4.972314e-05 0.00019889257 8.452934e-05 0.0011565603 0.00057579397 0.00011933554 3.3811735e-05 1.7900331e-05 5.966777e-06 0.00084231 6.9612397e-06 4.8728678e-05 0.0012152336 0.014399822 0.00024861572 0.0011883831 0.0001899424 0.0012788792 0.0004087242 0.0029664827 0.0015951184 0.00010242967 0.00013823033 6.96124e-05 7.1601324e-05 0.00017999778 0.00014021926 8.452934e-05 0.001377331 0.011858969 0.00033911184 0.0005201041 0.000348062 0.001271918 0.0005161262 0.0015702568 0.000896011 0.00050518714 0.0001233134 0.00014618604 0.00012828571 0.0003689457 0.00019292579 0.00024961017 0.0013315857 0.009469275 0.0006444119 0.00036297893 0.00028342192 0.0014519157 0.00044850275 0.0018526843 0.0011883831 0.0007816478 0.00023071538 0.00019392025 0.00027447173 0.00040574084 0.0003828682 0.000668279 0.001727382 0.008570281 0.00037292356 0.0008094927 0.00073391356 0.0017442878 0.0008462879 0.0044154148 0.0027437229 0.00018795347 0.0002436434 0.00028938867 0.00032320042 0.00032717828 0.00032021702 0.00050419266 0.0020078204 0.009499109 0.00073490804 0.00083932665 0.00070507417 0.0012560065 0.0008482768 0.0014499268 0.0013753421 0.00069910736 0.00060861127 0.00067026797 0.00084231 0.0009149058 0.00062054483 0.001216228 0.004196633 0.008433045 0.00060562784 0.0010352358 0.002006826 0.0021281505 0.0016786533 0.001001424 0.0017621882 0.0055192686 0.0008631937 0.0009447397 0.0012659512 0.006207437 0.0018666068 0.002692011 0.008832819 0.059093963 0.009155025 0.0062730717 0.008889503 0.019112581 0.016239578 0.008529508 0.012705257 0.037241638 0.0028401858 0.0029993 0.0057549565 0.02431959 0.004664031 0.0153555 0.029555436 0.01615505 0.003029134 0.0021569899 0.0032190762 0.005922026 0.0056157317 0.0029684715 0.005476507 0.011538752 0.001055125 0.0010968925 0.0014668327 0.006607211 0.0024404118 0.00514734 0.009607505 0.03158215 0.029901508 0.029234223 0.029284941 0.030121285 0.029373448 0.029705599 0.029730462 0.029783167 0.029246157 0.029246157 0.029751344 0.029314775 0.029940292 0.030031784 0.030331116 1924.0 9.29106 17876.0 0.025229357 0.0041955695 0.006209443 0.0044193333 0.0063213245 0.004643097 0.003859924 0.007552025 0.003803983 0.004475274 0.0047549787 0.0060975607 0.0057619154 0.004307451 0.007663907 0.0049228016 0.007887671 0.0057059745 0.005314388 0.0051465654 0.0055381516 0.0044193333 0.004643097 0.004475274 0.0048109195 0.005258447 0.006153502 0.005370329 0.0057619154 0.004643097 0.0057059745 0.005482211 0.009565898 0.010293131 0.0055940924 0.010796599 0.008670843 0.008279257 0.010572835 0.010796599 0.008335198 0.008950548 0.004643097 0.004307451 0.008055493 0.0059297383 0.007552025 0.005482211 0.017229805 0.007663907 0.006768852 0.01387335 0.009398076 0.0065450883 0.010293131 0.012307004 0.0077757887 0.005090624 0.0066569704 0.0051465654 0.008838667 0.004699038 0.005202506 0.011747595 0.007328261 0.027299171 0.009006489 0.021257551 0.0181808 0.053647347 0.008894607 0.0106847165 0.009901544 0.02539718 0.010628776 0.005370329 0.02176102 0.023830835 0.028865518 0.040836878 0.016558515 0.015215932 0.033452675 0.039046768 0.040109646 0.015159991 0.008055493 0.0071604387 0.007719848 0.00967778 0.0041396287 0.003915865 0.004643097 0.0051465654 0.0036921012 0.005817856 6.182578 0.0 2.0 0.0 7.0 503808.0 536576.0 0.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 1261616900.0 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 11.0 0.0 5.0 1.0 5.0 1.0 181248.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181248.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8095636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9459763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6598916 0.0 6.987507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39846.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -247712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181132.0 0.0 56632.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 225860.0 56632.0 479232.0 0.0 0.0 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 217240.0 0.0 0.0 420.0 188416.0 96.0 225148.0 0.0 0.0


Input: 0.1603717 0.01529348 0.008680242 0.0079102395 0.014821051 0.0043168073 0.005215678 0.003868845 0.012616724 0.0034108914 0.0023009137 0.0026052769 0.008463243 0.002163079 0.0022453188 0.020731153 0.008936953 0.0030236482 0.0014423945 0.0019217407 0.005680677 0.0016286504 0.0014967084 0.0012859856 0.0049786945 0.0013657912 0.001017362 0.0010285067 0.0040235887 0.0011326511 0.0013346631 0.0013975598 0.006665758 0.001039395 0.0012183493 0.0011098494 0.03272519 0.0016565758 0.000881449 0.0009674034 0.0032984205 0.001062709 0.00094946957 0.0029689497 0.0028380328 0.001234746 0.0023705997 0.0013461921 0.003991564 0.001968753 0.0018849764 0.004968831 0.0034968457 0.0015952165 0.0015811255 0.0015845842 0.0029332102 0.0019938606 0.0019806663 0.0061319694 0.0027249213 0.0019207159 0.00171627 0.0025072813 0.0047711744 0.003274594 0.0022351989 0.0021830627 0.014263948 0.002621161 0.003956849 0.0026855948 0.0030852638 0.0017562369 0.0015222001 0.0013554152 0.007636236 0.0022120131 0.0021496287 0.0018424474 0.008766069 0.0026434504 0.0015572992 0.003299317 0.003889469 0.0025001075 0.004717757 0.0039445516 0.0022382734 0.0022052238 0.00097496127 0.0025376405 0.0030213422 0.0021620544 0.004010651 0.0036323743 0.0016473527 0.0051039755 0.0016082826 0.0027277395 0.0036004777 0.0053996276 0.00683408 0.0022549261 0.0041283737 0.0045837653 0.0065899235 0.0016522205 0.004061634 0.0026976361 0.0044323523 0.0050875787 0.002975483 0.001109209 0.004302332 0.0043508816 0.014681167 0.007017902 0.0019627325 0.0018862573 0.0023885334 0.0019303234 0.0010570727 0.000966891 0.0032594784 0.0012758657 0.0017865964 0.0022059924 0.003916498 0.0027085247 0.0011680064 0.015331141 0.0052333553 0.00718046 0.0016467123 0.0011699279 0.0022281534 0.010503988 0.0014830017 0.034641676 0.0023808475 0.012367187 0.0012990517 0.0009288456 0.0017363816 0.0008364863 0.001022486 0.0010816677 0.0014165185 0.0017805757 0.000982391 0.00112599 0.0011088247 0.0010286347 0.00082559785 0.0008574945 0.0011142049 0.00071799476 0.00083533337 0.00088721345 0.0011815849 0.0013078905 0.00055479666 0.00092730846 0.0010928123 0.00061487505 0.0005727305 0.0006385734 0.0011505849 0.0006994204 0.000717098 0.0006867386 0.0009803415 0.0006325527 0.00067943695 0.0013852622 0.0015264273 0.0008308499 0.0011373907 0.0010628372 0.0020562448 0.0012970021 0.0024065953 0.001800431 0.0020377985 0.0011179197 0.0009194944 0.0008587755 0.0012118162 0.0008560854 0.0011715932 0.0012639526 0.00862785 0.0069979187 0.0037139733 0.0043490883 0.007241563 0.0013258243 0.0029708713 0.005421533 0.004495121 0.002699942 0.0015196381 0.0015348819 0.01983459 0.0011769733 0.0020827611 0.0017776294 0.002334988 0.0014787745 0.0015848405 0.001062581 0.00097598607 0.0008714573 0.0010148 0.00089259364 0.0016654147 0.0010482338 0.00081458135 0.001463915 0.000912449 0.0009303828 0.0007696186 0.0007990814 0.0021842155 0.0018853607 0.0012227047 0.0010849983 0.00115968 0.0013140392 0.0011924733 0.0009239779 0.013297314 0.0028559666 0.0009558745 0.003177495 0.002494087 0.0012462749 0.0012256509 0.0012898286 0.0037848123 0.0015224563 0.004612972 0.0028545575 0.0012699732 0.0009685563 0.0021725586 0.0018865135 0.0038633368 0.0025358472 0.001465196 0.0013168574 0.0017261336 0.001771865 0.0026260288 0.029557813 0.008185534 1.1274928e-05 1.1146803e-05 5.701526e-06 9.096817e-06 2.6906077e-06 3.0109182e-05 9.353065e-06 0.00052710285 6.406209e-08 6.406209e-08 3.2031045e-07 2.114049e-06 2.5624837e-07 3.2031045e-07 0.00038879283 0.0008660554 2.3062353e-06 1.4670219e-05 4.3562222e-06 4.7405947e-06 3.523415e-06 1.2492108e-05 8.071824e-06 1.1531176e-06 6.406209e-08 1.9218626e-07 6.406209e-08 3.2031045e-07 0.0 2.5624837e-07 1.2812419e-07 0.003328346 7.174954e-05 5.4452776e-05 3.555446e-05 3.555446e-05 1.563115e-05 3.587477e-05 1.7553013e-05 3.1710733e-05 4.868719e-06 3.2671667e-06 1.1531176e-06 1.9410812e-05 3.459353e-06 2.3702974e-06 1.2620232e-05 0.0023653004 6.822612e-05 0.00012985386 2.2870167e-05 2.1588925e-05 4.5868455e-05 5.7271507e-05 5.784807e-05 0.00023152039 4.4843464e-06 2.1973297e-05 3.459353e-06 5.060905e-06 4.4843464e-06 1.1274928e-05 0.00049129216 0.0062654647 0.0003258198 0.0001534287 6.918706e-05 0.00011627269 0.00034901025 0.00045958144 0.00010634307 7.3415154e-05 1.8962379e-05 2.1652986e-05 2.024362e-05 2.3767036e-05 1.966706e-05 5.7143385e-05 0.00018558788 0.009775747 0.00035567273 0.0002843716 0.00043888937 0.00057867286 0.00041326456 0.000664452 0.0003408744 0.00016463957 8.866193e-05 2.5048277e-05 0.00012889292 0.00016963642 4.2473166e-05 0.000115888324 0.00031992607 0.014308268 0.000504553 0.0008258244 0.0005569558 0.00076957786 0.00046983137 0.0025136042 0.0014653562 0.0001907769 0.00013600381 0.0002283173 0.00033895252 0.0004888578 0.00010422902 0.00015701618 0.0013449196 0.019981094 0.0009270425 0.0017668324 0.00082544005 0.0014779764 0.0010008421 0.009166452 0.0045657693 0.00065407396 0.00042133636 0.0003158261 0.0008604179 0.0005155717 0.00035900396 0.0003430525 0.0015581822 0.0129933935 0.000597443 0.0012658029 0.0012419077 0.0014308909 0.00087803503 0.005658476 0.0027329528 0.00036118206 0.00018584412 0.00019827217 0.00035362275 0.0003393369 0.00016758643 0.00030269337 0.0006811722 0.017294265 0.0012478014 0.001977853 0.002074907 0.0019702937 0.001329993 0.006085322 0.0030620398 0.00052255444 0.00041025362 0.00044753775 0.00041377704 0.0004935984 0.00027553106 0.00037591634 0.0012469045 0.010936167 0.00076816854 0.0012681091 0.0011791268 0.0013421648 0.0013713131 0.004273902 0.0024572297 0.00061762263 0.00066099263 0.00039366155 0.000431266 0.0004128161 0.0003778382 0.0003151855 0.0012710559 0.007898343 0.0013979629 0.001925258 0.010519251 0.0020310245 0.002091179 0.0037467994 0.0022901557 0.0017243592 0.0013194229 0.0011221756 0.0016184646 0.001643641 0.0013335806 0.0020152011 0.0021932938 0.012465586 0.0018705489 0.0028646004 0.001984067 0.0030752365 0.0025940663 0.0037916428 0.0027096341 0.005978274 0.0017432576 0.0012733622 0.0018258977 0.004289982 0.0015738774 0.0037972163 0.00444719 0.101438604 0.019845795 0.030527957 0.013019979 0.027577 0.025117144 0.014822045 0.019383458 0.060565516 0.0059960834 0.0045278445 0.008509495 0.043995537 0.007508525 0.017595999 0.031083055 0.043772474 0.010858845 0.01637741 0.0076945615 0.014209036 0.013564507 0.008156514 0.011130468 0.029714111 0.0034731904 0.0024222517 0.0041102236 0.02059846 0.0039354623 0.009401239 0.015747871 0.0030991316 0.0028472396 0.0028926595 0.0032720354 0.0029083549 0.0028605645 0.002942436 0.0028243053 0.0028461504 0.002895158 0.002819885 0.0029389125 0.0027831774 0.0029144408 0.003020976 0.0029726732 46474.0 12.251452 569374.0 0.02807645 0.0024518154 0.0023394113 0.0022744278 0.02127073 0.004167735 0.0018090042 0.0020759641 0.0052250368 0.0026573043 0.002291991 0.0026362285 0.0044592833 0.004201105 0.018938342 0.0026397412 0.0090555595 0.007007696 0.0063350275 0.008403966 0.00856906 0.005593863 0.005769494 0.004977396 0.0071042934 0.0064228433 0.009563134 0.007861265 0.006854897 0.0052408436 0.0045927633 0.005177616 0.0057378807 0.008086073 0.0041413903 0.0073238327 0.013985535 0.005579812 0.0054410635 0.0042994586 0.004896606 0.0062331613 0.0014998929 0.0030261304 0.008707809 0.0057203174 0.0047912267 0.00419408 0.016774563 0.0065071466 0.00545687 0.011185969 0.0097528165 0.0061506145 0.007135907 0.007903417 0.0038059342 0.0036882611 0.00193019 0.0043556606 0.0039200946 0.00432756 0.004770151 0.011096397 0.0029365583 0.047808647 0.009313738 0.025336597 0.020115074 0.05468462 0.012236245 0.017362928 0.014382462 0.039668128 0.0077119786 0.009591235 0.02634121 0.018232305 0.036397867 0.04038119 0.016820228 0.002717019 0.03689666 0.027825296 0.044582296 0.021237358 0.007831408 0.0068917796 0.0071341507 0.009401553 0.0033124099 0.003386175 0.0036724543 0.0017773906 0.0019161395 0.0036267901 5.9930954 1.0 4.0 6.0 23.0 7806464.0 7872512.0 0.0 0.0 419.0 1.0 1.0 0.0 0.0 0.0 1530278700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 5046272.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -150528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560000.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5046272.0 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 -6.638512 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.411198 0.0 -3.4590871 0.0 0.0 0.0 0.0 0.0 0.0 -4.670556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5648627 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.576591 0.0 5.1105456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2559708.0 0.0 -548.0 0.0 0.0 0.0 0.0 0.0 0.0 -3228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -95200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5045930.0 0.0 736.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 3.0 -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 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 1.0 -1.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -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 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 7600712.0 736.0 7716864.0 0.0 0.0 0.0 0.0 150176.0 7720960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 7482336.0 0.0 0.0 1732.0 5050368.0 0.0 0.0 0.0 0.0


Input: 0.2644572 0.03301352 0.032599404 0.009346323 0.01262197 0.005893806 0.023957737 0.009978813 0.004947665 0.0054985587 0.04106609 0.006000872 0.012737054 0.0048165447 0.0026856058 0.002076227 0.0028247442 0.006625815 0.0031171704 0.0049500233 0.0052278284 0.0015956102 0.009176527 0.0039180415 0.0021785763 0.002010667 0.0015649527 0.0020031205 0.0016833381 0.00111688 0.002048871 0.010984854 0.015085426 0.0014578869 0.0023889346 0.0009178414 0.0012027213 0.0023441273 0.0012692247 0.00087916566 0.01775877 0.0009244446 0.002980862 0.0024233654 0.00544479 0.002384218 0.0024643994 0.0030775515 0.003534114 0.0014880728 0.0008753924 0.0015668392 0.0008555829 0.0010126441 0.0014300592 0.0013904402 0.0012333789 0.0017125808 0.0011555557 0.0010725444 0.0006650341 0.0013630841 0.0012612066 0.0007834196 0.0013366714 0.0039071934 0.0016649435 0.0023851614 0.0034869483 0.0038859688 0.0028709664 0.00087492075 0.0012154559 0.0018003087 0.00083058514 0.0009055784 0.0020719822 0.0013281816 0.001728617 0.0025299597 0.002612971 0.00092255796 0.0025214697 0.0028143676 0.002631837 0.0011725354 0.0008428482 0.0007645534 0.0011093335 0.0021224492 0.0005560817 0.0004928799 0.00073106587 0.0006070205 0.0007159729 0.0037128713 0.0028228576 0.010120781 0.002346014 0.007615348 0.006364518 0.010775911 0.0015970252 0.0032902681 0.00202576 0.007853534 0.0006376781 0.0009753834 0.0039722817 0.004733062 0.0064484724 0.041240606 0.012306432 0.0012333789 0.016849417 0.009645353 0.009330759 0.004867484 0.0013409163 0.0031365084 0.0012357371 0.00082917017 0.002144617 0.0034553474 0.00094378245 0.0020677373 0.0037534337 0.00035232658 0.0046887263 0.0010093425 0.00055136514 0.00035468486 0.0014229843 0.00043062138 0.0005471203 0.00064758287 0.0026332522 0.0004018504 0.0006155103 0.0004292064 0.00082728354 0.00083907496 0.00043062138 0.0008654877 0.0006070205 0.0005645715 0.00047920187 0.0003721361 0.00065465766 0.0003660046 0.0004292064 0.00035043995 0.00047401368 0.00068578694 0.0008470931 0.00048910663 0.00040420867 0.0004282631 0.00058013614 0.0009367076 0.0009178414 0.0006018323 0.00096689357 0.00046033566 0.0005225942 0.00044335608 0.00047637196 0.0003584581 0.0006079638 0.0006263584 0.0018474741 0.00047307037 0.0005650432 0.00034902498 0.00056221324 0.00050561456 0.00043958283 0.00039619053 0.0005027847 0.00079804094 0.000796626 0.0005716463 0.00054523366 0.00044052614 0.00069333345 0.0006041906 0.0004249615 0.00046505223 0.0004777869 0.00066031754 0.00051551935 0.00049335154 0.0010697144 0.0006589026 0.00042260325 0.00041505674 0.00046363726 0.0006551293 0.0012135693 0.00031553747 0.0004914649 0.0005938141 0.0009253879 0.0023790298 0.0004957098 0.00048627672 0.0003278005 0.00037072113 0.0007221044 0.00041411343 0.0005438187 0.00034619507 0.00064569624 0.0003457234 0.00054523366 0.0010267938 0.00061362365 0.00030233111 0.0011980047 0.0009253879 0.0006206985 0.0012338505 0.0027341864 0.00042024496 0.0007928527 0.0008249253 0.00042779144 0.00093010446 0.00065418606 0.00046882546 0.00047212705 0.0009343493 0.00045326084 0.0005716463 0.00036081637 0.001006041 0.00036458962 0.00046599554 0.0004400545 0.00045750572 0.0006537144 0.00055561005 0.0006060772 0.0006343765 0.00059994566 0.0006961634 0.0006853153 0.00068673026 0.0007277643 0.0009640636 0.0014734515 0.0015781589 0.0012517734 0.0017036193 0.0063951756 0.04217354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004779681 7.07996e-05 1.958789e-05 2.997183e-05 2.2655873e-05 4.247976e-05 1.3215926e-05 7.245159e-05 0.00055931683 1.1563935e-05 2.289187e-05 7.5519574e-06 0.0005899967 1.1091937e-05 1.1563935e-05 1.8407896e-05 0.0023614026 3.3039814e-05 1.8643896e-05 1.8643896e-05 0.0006829802 0.00081089145 0.006084046 0.002664897 0.00012673129 1.74639e-05 2.0767882e-05 1.9351892e-05 0.00012248331 1.8643896e-05 1.9823889e-05 2.997183e-05 0.008486748 0.00043234957 0.0006945441 0.0002463826 0.0020621563 0.001782734 0.012446098 0.0068493895 0.00030585428 2.2655873e-05 1.76999e-05 5.8055673e-05 6.395564e-05 2.7611844e-05 5.5459688e-05 0.0002810744 0.13786924 0.006421288 0.01526699 0.0045000226 0.012574245 0.0072048036 0.045589752 0.021252625 0.001760786 0.00053713296 0.00068156415 0.0008380313 0.0006839241 0.0020869363 0.0016947065 0.0025169258 0.078859195 0.009378587 0.007982183 0.003349293 0.004413647 0.003201322 0.017305782 0.01000894 0.002291783 0.0013279645 0.0013636004 0.001428972 0.0014785316 0.0028400081 0.0016361788 0.003931502 0.1398219 0.023471013 0.02191059 0.006569967 0.006852221 0.005851823 0.016716493 0.017674176 0.0067682057 0.003207694 0.0040178774 0.0034071128 0.0046888217 0.0040638973 0.0031295784 0.0218438 0.093331106 0.020193463 0.015814742 0.005144771 0.005048956 0.0044757146 0.012150155 0.012867119 0.0040964647 0.002673629 0.0032577256 0.002515982 0.0030712867 0.003023851 0.0025431216 0.031154893 0.0030771866 0.0004984292 0.0006884081 0.0005687568 0.00045122945 0.00042290962 0.0013600603 0.0012637728 0.0003367701 0.0002518106 0.000177943 0.00011398736 0.0001397112 0.00015505112 0.0002109828 0.00091614685 0.0012758088 0.00020130687 0.00020862282 0.00032591415 0.0002303347 0.0001951709 0.00041134568 0.00030373028 0.00012743929 0.00020697083 0.0002466186 0.00013168725 0.00011044738 0.00012743929 7.433958e-05 0.00017275102 0.0015004795 0.0003216662 0.000354706 0.0005907047 0.00042125763 0.00029381833 0.0006808562 0.00049418124 0.0002829624 0.00036154996 0.00041818965 0.0002636105 0.00029051438 0.0002501586 0.00022042276 0.00050480117 0.000178651 4.1771764e-05 4.0119776e-05 4.8615726e-05 7.5755575e-05 5.9235666e-05 7.22156e-05 4.955972e-05 4.7199734e-05 5.522369e-05 6.6315624e-05 4.578374e-05 5.0739713e-05 4.2007763e-05 3.49278e-05 5.8527672e-05 6374.0 19.229998 122572.0 0.0076281694 0.0003834481 0.00045687432 0.00044871584 0.0013053552 0.00023659563 0.0005710929 0.0002202787 0.00020396175 0.000138694 0.00039160656 7.342623e-05 0.0051235193 0.0016235355 0.010956826 0.0003018634 0.012784323 0.00666547 0.0021946284 0.0039160657 0.0029207324 0.006159645 0.0033612896 0.0024393825 0.0011992952 0.0014195738 0.00026922952 0.00023659563 0.0003018634 0.00426688 0.00021212023 0.0026759782 0.00023659563 0.00933329 0.006127011 0.011984793 0.009985968 0.007538426 0.0053845905 0.0028717816 0.002512809 0.0071549783 0.00023659563 0.0019661912 0.008444017 0.004805339 0.0033449729 0.0054743337 0.013347257 0.0022843715 0.008525602 0.014750514 0.00965147 0.0027004536 0.0036223608 0.0011748197 0.00039160656 0.0004405574 0.0001631694 4.079235e-05 8.9743175e-05 8.15847e-05 8.15847e-06 0.030969553 6.526776e-05 0.06614888 0.016112978 0.0323157 0.02047776 0.080564894 0.009300656 0.021269131 0.0040221256 0.047204908 0.0005139836 0.008843781 0.034102406 0.034249257 0.040824983 0.06244493 0.016186405 0.0034918252 0.050509088 0.0486408 0.06991809 0.031491693 0.0053193225 0.021774957 0.005784355 0.0060617435 0.0054253824 8.15847e-06 2.447541e-05 6.526776e-05 4.079235e-05 6.526776e-05 5.254283 1.0 0.0 0.0 1.0 2120192.0 2146304.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1527616000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 2109952.0 512.0 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 -2109952.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7212367 0.0 5.9542437 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 -2109644.0 0.0 9096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 2117748.0 9096.0 2121728.0 0.0 0.0 0.0 0.0 12.0 2138112.0 28.0 2117436.0 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: 0.24505436 0.023560164 0.016908087 0.0066781295 0.007681152 0.0027615672 0.00950917 0.0051670833 0.0049934 0.0019539392 0.01275271 0.0019713074 0.0012765735 0.0018063082 0.0028614353 0.0010073641 0.0023317006 0.0025574893 0.0047719534 0.0020364388 0.0024749895 0.0025791996 0.0016152563 0.0011072322 0.0011549952 0.000746839 0.0007251285 0.0013199945 0.001250521 0.0011463109 0.001797624 0.00094657496 0.020737808 0.0011419689 0.0017889398 0.00095525914 0.0010638114 0.0014632833 0.0037862998 0.0019365707 0.007442337 0.0009031541 0.005297346 0.0016326247 0.0021927538 0.0024315687 0.004233535 0.0012201264 0.007928651 0.003386828 0.0025791996 0.0021710435 0.0022882798 0.0022709116 0.001745519 0.001697756 0.0019582813 0.0019669654 0.0013069682 0.00068170764 0.0014285466 0.0013069682 0.0012678894 0.0007598652 0.000846707 0.0061353687 0.0020798596 0.005653397 0.0034085382 0.0036690636 0.0029395928 0.0016890719 0.001445915 0.0036343269 0.0011028901 0.0010681534 0.001745519 0.004489718 0.0036256427 0.002001702 0.004589586 0.0013113102 0.0038036683 0.0061180005 0.0035995902 0.0021710435 0.0041206405 0.0021623594 0.00068170764 0.0011810476 0.0005427609 0.00056012924 0.00070776016 0.0007946019 0.00046026122 0.005753265 0.0007685494 0.024346082 0.0059703696 0.01387731 0.013473496 0.050793733 0.0061527374 0.011823503 0.007286022 0.02619147 0.0007121023 0.0026877518 0.014506913 0.0108769275 0.02432437 0.03035553 0.010147457 0.00087710156 0.024802001 0.021519383 0.031553946 0.01169324 0.0049630054 0.0023317006 0.0023838058 0.0045678755 0.0020060441 0.003148013 0.00052539253 0.0029222246 0.0028657774 0.0006035501 0.0025053842 0.004997742 0.0011810476 0.0030351188 0.0028657774 0.00053841877 0.0017889398 0.0005340767 0.00047328748 0.0006599972 0.00047762957 0.00047328748 0.0008032861 0.00062091846 0.0005080242 0.00049934 0.00052539253 0.00071644434 0.00043855078 0.0014589413 0.0025097262 0.0005427609 0.0030090662 0.000399472 0.00037776158 0.00054710294 0.00044289287 0.00054710294 0.000846707 0.0006947339 0.0005340767 0.000299604 0.00061657635 0.00057315547 0.00032565653 0.000798944 0.00041249825 0.00039078784 0.0003343407 0.00048631374 0.00036039323 0.00045591913 0.00048197166 0.0003343407 0.0005557871 0.0003039461 0.0005644713 0.00043855078 0.00041684034 0.00049934 0.00035170905 0.00038210367 0.00028657774 0.00040815616 0.00028223565 0.00026920938 0.00035605114 0.0006122343 0.00027789356 0.0003039461 0.00031697235 0.0004949979 0.00025184103 0.000299604 0.00045157704 0.0006773656 0.00023881478 0.00037776158 0.0026226204 0.0004342087 0.00038644575 0.0003039461 0.00025184103 0.00042552451 0.00027789356 0.00038644575 0.00028223565 0.00036039323 0.00032131444 0.00048631374 0.0005557871 0.00041249825 0.00028657774 0.00032565653 0.00030828817 0.0004342087 0.00025184103 0.00029091982 0.00028657774 0.00045157704 0.0002648673 0.00039078784 0.00056012924 0.00046026122 0.00074249686 0.0002952619 0.00037776158 0.00052539253 0.0003039461 0.00034302488 0.00026920938 0.00043855078 0.0006643393 0.0003039461 0.00031263026 0.00040815616 0.0003734195 0.00024749895 0.00035605114 0.00034302488 0.00027789356 0.00040815616 0.00032131444 0.00042118243 0.00028223565 0.00036473532 0.0004298666 0.000399472 0.00017802557 0.002548805 0.0002605252 0.00040381408 0.00022578852 0.00027355147 0.00032131444 0.00030828817 0.00061657635 0.00036473532 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033216262 8.7584085e-06 0.00023647702 0.0054652467 0.0002167706 0.00014232413 0.0033588496 0.0006284158 6.1308856e-05 0.0 2.1896021e-06 4.3792043e-06 2.1896021e-06 0.0 2.1896021e-06 2.1896021e-06 0.0010904218 0.0 0.0001116697 0.002607816 0.0027216752 0.0019115226 0.016767973 0.006144023 3.5033634e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.093388714 0.0009437185 0.012316511 0.0051959255 0.021985793 0.015887752 0.13816607 0.065646455 0.00018173696 8.977368e-05 7.663607e-05 7.2256866e-05 7.663607e-05 0.0001072905 6.568806e-05 5.9119255e-05 0.08387709 0.0045368555 0.01799634 0.0047952286 0.0077599497 0.0059995097 0.05431527 0.02932096 0.0011232658 0.000858324 0.0007028622 0.000654691 0.00060651975 0.001029113 0.00079920475 0.0008714616 0.07520626 0.008775925 0.013385037 0.0035252592 0.0039522317 0.0054126964 0.014659385 0.013991557 0.009474408 0.0021217244 0.0012787275 0.0010159754 0.001276538 0.0011889539 0.0008670824 0.0008189112 0.040794477 0.0038427515 0.0047623846 0.00396099 0.0020735532 0.002051657 0.006496549 0.0044251857 0.0041120728 0.0050382745 0.0010115962 0.0008627032 0.0025508862 0.00082548 0.00090649526 0.0014867397 0.022693036 0.0037485987 0.0041711917 0.0024129415 0.002388856 0.0019684522 0.00330192 0.0022421526 0.002596868 0.002211498 0.0011911435 0.0006634494 0.0010181649 0.0007006726 0.0007663607 0.0017363544 0.014438236 0.0033544702 0.0021414307 0.0010094065 0.0017078896 0.002062605 0.002080122 0.0013290885 0.0015918406 0.0016925624 0.0010904218 0.00068096624 0.00079482555 0.00056053814 0.0006393638 0.0007006726 0.0035449658 0.00047733323 0.00026275223 0.00028464827 0.00040288677 0.00039412835 0.0007444647 0.00036785315 0.00046419562 0.00029778588 0.00025837304 0.00028026907 0.00032187148 0.00025399384 0.00035690513 0.00025618344 0.0059973197 0.0018108009 0.0018524033 0.003993834 0.0015962198 0.0018261281 0.004158054 0.0022859445 0.0014210517 0.0008999264 0.0009809417 0.00084299676 0.00095028727 0.0008736512 0.00083423837 0.0010663362 0.0018283176 0.0007816879 0.00090649526 0.0011670579 0.00073132705 0.00082548 0.0014013452 0.0010159754 0.0007094311 0.0005824341 0.000621847 0.00057148613 0.0005583485 0.00061308854 0.0005780549 0.00056053814 2468.0 29.297812 72307.0 0.052761145 0.00017978896 0.0021159777 0.00023510863 0.000345748 0.000110639354 0.00026276847 0.0033745004 0.00053936685 0.00049787713 0.00027659838 0.00013829919 0.0016042707 0.0018393793 0.009667113 0.0013968219 0.017066121 0.0071915584 0.005006431 0.004425574 0.004633023 0.0045777033 0.0031532217 0.0033883303 0.0039138673 0.003817058 0.0018532092 0.00015212911 0.0020883179 0.0004287275 0.002212787 0.00033191807 0.00012446928 0.008491571 0.003263861 0.01041393 0.00520005 0.005850056 0.0041628056 0.0016872502 0.0016595904 0.0058223964 0.0012446927 0.0008297952 0.002254277 0.0066936812 0.0052277097 0.002765984 0.007564966 0.00037340782 0.0061681443 0.010621378 0.0061128247 0.0021298076 0.0023095966 0.0028489635 0.00045638735 0.0003595779 0.00030425822 0.0002074488 0.00055319676 0.00026276847 4.148976e-05 0.016098026 0.00052553695 0.04973239 0.0127650155 0.03090987 0.02905666 0.109602116 0.013221404 0.024478957 0.013401192 0.054406904 0.00065000623 0.0048957914 0.029955605 0.020108704 0.050589845 0.05327285 0.01565547 0.000691496 0.046758957 0.042208914 0.07241346 0.0240364 0.00865753 0.004536214 0.0037479082 0.009445835 0.0031670516 0.004646853 5.5319677e-05 0.004633023 4.148976e-05 4.148976e-05 5.2109466 3.0 16.0 0.0 1.0 230304.0 245760.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1540599900.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 218624.0 512.0 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 -218624.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6891303 0.0 3.2807198 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 -218320.0 0.0 1376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 226416.0 1376.0 229376.0 0.0 0.0 9120.0 221184.0 12.0 237568.0 28.0 226104.0 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: 0.12144705 0.010415922 0.0070612486 0.008059791 0.007307758 0.005985895 0.0033457421 0.0037798134 0.012091473 0.0022007232 0.0020131615 0.0016451834 0.0064967773 0.0033046573 0.0015469368 0.008590323 0.0075631994 0.00161303 0.0012968547 0.0018309588 0.0057786843 0.0023507725 0.00122183 0.0011914629 0.0038262573 0.0017487889 0.0011807451 0.0012289752 0.0032207011 0.0011878903 0.0010646356 0.0013700931 0.004478257 0.0010217642 0.0015290738 0.0011396601 0.01904733 0.0024222245 0.0010164054 0.0010860711 0.0021989369 0.0013558026 0.0010074739 0.0051695555 0.0017130629 0.0011628821 0.0010914301 0.000943167 0.003872701 0.0022614573 0.002206082 0.0062699174 0.002788416 0.0047408435 0.0022632435 0.0023061149 0.003243923 0.0031760435 0.002418652 0.0049409093 0.0026830244 0.0023739943 0.0021131944 0.002177501 0.004324635 0.0023079012 0.0017880875 0.001904197 0.010353402 0.020512097 0.0031063778 0.013300799 0.002824142 0.0014522629 0.001464767 0.0012075396 0.004324635 0.007079112 0.0015880218 0.0012843505 0.00658252 0.0032278462 0.0013361534 0.0030635067 0.0027008874 0.004442531 0.0034082627 0.0030349258 0.002336482 0.0044335998 0.0014379725 0.0017630793 0.0036851394 0.004923046 0.0022578847 0.0019434957 0.0020846135 0.0016505424 0.0010521314 0.0015147835 0.0039870245 0.0036672764 0.0025168983 0.0011950355 0.0060984325 0.0051677693 0.005514312 0.0024311559 0.002295397 0.0012968547 0.0016916272 0.0018809752 0.0024025752 0.0009896109 0.0026062136 0.0021685697 0.008334882 0.008268788 0.0016701916 0.0016898409 0.0023882848 0.0013558026 0.0010181917 0.001055704 0.0020846135 0.0026133587 0.0017130629 0.001500493 0.003118882 0.0017827286 0.0011896766 0.009767495 0.0036369092 0.0126095 0.0012611287 0.0011075068 0.002497249 0.01210219 0.0015290738 0.029791933 0.0017344984 0.011051846 0.0011289424 0.0011789588 0.0021399888 0.0010181917 0.0010950026 0.0013468711 0.0014040328 0.0017737971 0.00093780813 0.0011414465 0.0018273861 0.001186104 0.0011182246 0.0010128327 0.0014879889 0.0023829257 0.0009806794 0.0013790246 0.0022257313 0.0021971506 0.001334367 0.0016916272 0.0015487232 0.0018238135 0.00095567113 0.0010342684 0.0018488218 0.0010128327 0.00095745747 0.0011075068 0.0016934136 0.0010128327 0.00097532046 0.0033636051 0.0020292383 0.0011021479 0.0010306959 0.0011307286 0.0018952655 0.0022578847 0.0021757148 0.0017684381 0.003077797 0.0013647341 0.0011164383 0.0011289424 0.0014397588 0.0017809423 0.0012789917 0.0011378739 0.007305972 0.005869786 0.0034404162 0.0034797147 0.003042071 0.0010985753 0.003499364 0.0056161312 0.0053338953 0.003059934 0.0019774355 0.0013022136 0.0032403504 0.0011968218 0.0014165369 0.0012968547 0.003108164 0.0016880546 0.0017219944 0.0014076054 0.0026651614 0.0012718465 0.0016934136 0.0013147177 0.002911671 0.0020113753 0.0011182246 0.0016058848 0.015065664 0.012834574 0.004062049 0.0017059176 0.004204953 0.0018631122 0.0012146848 0.0010610629 0.0031349587 0.0014808438 0.0010878574 0.0010646356 0.013649127 0.0048301583 0.0012289752 0.0038351887 0.005692942 0.0010878574 0.0012200437 0.0015790903 0.0046640323 0.0014611944 0.0015433643 0.0014504766 0.0031831888 0.0021971506 0.0027723394 0.002116767 0.0059037255 0.0018077368 0.0020078025 0.003427912 0.008177687 0.0040298956 0.008240207 0.06770796 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010566586 0.00045423594 0.00054741255 0.00037091455 0.0015723552 0.00052859803 0.0014003369 0.00083142205 0.0004676749 0.00040495986 0.00051426317 0.00080991973 0.0006826978 0.00051874283 0.00077945815 0.0015687715 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024539493 0.0018276949 0.0024897864 0.0021072247 0.002028383 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046857083 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.05836708 0.015331135 0.021610701 0.010408006 0.032690655 0.020399405 0.013044725 0.013564363 0.037455205 0.0032558057 0.0057276734 0.004992116 0.019471223 0.020557089 0.016535264 0.031360198 0.013886898 0.01073054 0.010658866 0.010525373 0.010965274 0.010487744 0.01061407 0.010332748 0.011284225 0.010945563 0.010700079 0.010795943 0.010442947 0.010515518 0.010642739 0.0107834 2016.0 10.376985 20920.0 0.020745698 0.004015296 0.005592734 0.0037284894 0.0131931165 0.0036328873 0.004206501 0.0065965583 0.0062141493 0.0033460802 0.0046845125 0.005497132 0.006835564 0.0044455067 0.0059751435 0.004875717 0.02418738 0.017877629 0.01711281 0.018594647 0.019646272 0.01916826 0.0166348 0.018068833 0.019837476 0.018977055 0.018164435 0.018881453 0.017877629 0.015583174 0.015487571 0.014483748 0.0076959846 0.008173997 0.0049713193 0.009225622 0.010659656 0.0062619504 0.00707457 0.007791587 0.0083174 0.0056883367 0.003585086 0.0041587 0.008269599 0.0056883367 0.00458891 0.0069789677 0.013384321 0.007122371 0.005879541 0.0114722755 0.0097992355 0.005783939 0.0077437856 0.009464627 0.005592734 0.0050669215 0.0050191204 0.0044455067 0.007122371 0.0044455067 0.0040630973 0.0073613767 0.0076481835 0.017160611 0.008556405 0.0166826 0.015965583 0.03580306 0.007982791 0.008508604 0.011376673 0.017877629 0.008173997 0.0059273425 0.018021032 0.009416826 0.017399618 0.022179732 0.009416826 0.0036328873 0.02332696 0.017686425 0.03197897 0.011759082 0.005497132 0.0062141493 0.009321224 0.007887189 0.00458891 0.0038718928 0.006500956 0.003537285 0.0034416826 0.005592734 6.323123 0.0 9.0 0.0 6.0 559816.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553832.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0