Input: 0.19300708 0.0030212842 0.0022095959 0.0019813087 0.0020799513 0.012242965 0.0024491567 0.0020038555 0.0019418516 0.0018798476 0.0018685742 0.0017530213 0.0018150252 0.0019587618 0.001758658 0.0022828733 0.002085588 0.002311057 0.002356151 0.0049828645 0.004281092 0.0036864178 0.0033256675 0.0017417478 0.001984127 0.001922123 0.0016712887 0.0018347538 0.0018742109 0.0016825622 0.0051942416 0.0053323414 0.0020884064 0.0017304744 0.005281611 0.0020348574 0.0018798476 0.0017699314 0.0017051091 0.0018939395 0.0019728534 0.0017614764 0.012468434 0.0024012446 0.001984127 0.0017135643 0.001688199 0.0017079274 0.001758658 0.0018122069 0.0018037518 0.0016853806 0.0017107459 0.0016769255 0.0017952967 0.0016853806 0.0016402868 0.0016741072 0.0016431052 0.001595193 0.0017361111 0.0015360074 0.0017332927 0.0019052129 0.001820662 0.0017022907 0.0018150252 0.0016741072 0.0019982187 0.001750203 0.0016600153 0.0016910173 0.0016769255 0.0016177399 0.0016092848 0.0017135643 0.0017614764 0.0016994724 0.0017220193 0.001657197 0.0018037518 0.0016825622 0.001696654 0.0016121032 0.0016741072 0.0016064665 0.01218378 0.0024378833 0.0017389294 0.0016741072 0.0015416441 0.0016092848 0.001696654 0.0017332927 0.0018319354 0.0017727498 0.002077133 0.0017671131 0.0017473846 0.0017417478 0.0018037518 0.0019700353 0.00469821 0.0018488456 0.001992582 0.0018939395 0.001820662 0.0017614764 0.0019869453 0.0017727498 0.0017389294 0.0017642947 0.0017783865 0.0016064665 0.0017642947 0.001626195 0.001781205 0.0018122069 0.0017022907 0.0017558397 0.0017614764 0.001781205 0.0016853806 0.0015529175 0.0016515602 0.0015895562 0.0015416441 0.0019080312 0.0026098033 0.0017389294 0.0016825622 0.0016825622 0.0018262987 0.0017445663 0.0017389294 0.001696654 0.0018967577 0.0017952967 0.0018234804 0.0021560472 0.0017642947 0.0016853806 0.0017389294 0.001750203 0.0017135643 0.0016487419 0.0015980114 0.0016825622 0.0018544823 0.001657197 0.00163465 0.0024576117 0.024483113 0.012510709 0.0015980114 0.001657197 0.0016459235 0.0016628337 0.0016910173 0.0018713925 0.0016853806 0.001820662 0.0017642947 0.0016092848 0.0019164863 0.0020264024 0.002085588 0.0017840232 0.001688199 0.0016487419 0.0018516639 0.0017614764 0.0018375722 0.001688199 0.0016628337 0.0015529175 0.001781205 0.0016769255 0.001953125 0.001719201 0.0018093885 0.0016233766 0.0018234804 0.0018403905 0.10540956 0.001595193 0.0016402868 0.0018629374 0.0016515602 0.0015782828 0.0016797439 0.0018798476 0.002296965 0.0017783865 0.0018685742 0.0016121032 0.0017473846 0.0017981151 0.0018854843 0.0017445663 0.0016938357 0.001696654 0.0018995762 0.0016741072 0.0019362149 0.0016515602 0.0017361111 0.0017530213 0.0016769255 0.0016064665 0.0016402868 0.0017361111 0.0015726461 0.0018403905 0.0016064665 0.0019108496 0.0016459235 0.0017530213 0.0017642947 0.0016121032 0.0016910173 0.0016797439 0.0015303707 0.0018234804 0.0020264024 0.0016487419 0.0015811012 0.0016121032 0.0017981151 0.0016938357 0.0016769255 0.001665652 0.0017248377 0.0018770292 0.0017135643 0.0016910173 0.0017107459 0.001555736 0.0016543786 0.0016459235 0.002646442 0.0019954005 0.002187049 0.0017248377 0.0018093885 0.0015331891 0.0016938357 0.0016825622 0.0018995762 0.0019052129 0.001400726 0.0016149215 0.0017389294 0.001696654 0.0019869453 0.16119623 0.0028985508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028221242 1.1322464e-05 8.491847e-06 1.415308e-06 1.1322464e-05 1.415308e-06 7.07654e-06 1.415308e-06 1.1322464e-05 4.2459237e-06 8.491847e-06 1.415308e-06 7.07654e-06 0.0 0.0 1.415308e-06 0.01024966 0.0002632473 0.00013162364 1.415308e-06 2.830616e-06 0.0 0.00012596241 7.218071e-05 3.6798006e-05 1.415308e-06 0.0 0.0 2.830616e-06 1.415308e-06 2.830616e-06 0.0007019928 0.007123245 0.00013445425 8.6333785e-05 5.661232e-06 5.661232e-06 5.661232e-06 7.359601e-05 5.802763e-05 0.00011180933 1.8399003e-05 2.4060235e-05 1.2737772e-05 5.2366395e-05 1.415308e-05 2.4060235e-05 0.0009454257 0.012934499 0.001043082 0.00020521965 1.2737772e-05 0.0 1.1322464e-05 0.00012879302 1.5568388e-05 2.9721466e-05 1.9814312e-05 1.1322464e-05 8.491847e-06 8.350317e-05 8.491847e-06 1.5568388e-05 0.002863168 0.0470505 0.004301121 0.00071473053 0.00011039402 4.245924e-05 5.0951086e-05 0.000634058 0.00022078805 0.0002873075 0.0004812047 0.00031419838 0.0001599298 0.00028589222 0.00014436142 0.00023918705 0.020325238 0.047305252 0.008571105 0.0013629416 0.00013586956 4.9535778e-05 6.935009e-05 0.00070482335 0.0001245471 0.00027456976 0.0026296421 0.0003382586 8.491848e-05 0.00022786458 8.067255e-05 0.00017125226 0.03352157 0.023372395 0.0019814312 0.0011931047 0.0001754982 4.5289857e-05 0.00042459238 0.0009199502 6.368886e-05 0.00025900136 0.0046478715 0.0005180027 0.00012313179 0.00025617075 0.00011322464 0.00026041668 0.023617243 0.029054858 0.0012766077 0.007993659 0.00014011549 0.00016276042 0.007516701 0.00095391757 0.00020380435 0.00035241168 0.017269587 0.00046988224 0.0003750566 0.00032693613 0.00035241168 0.00030853713 0.052083332 0.014262059 0.0010812953 0.003709522 0.00014011549 0.00013162364 0.0033542798 0.0006298121 0.00016276042 0.00025758604 0.008817369 0.000317029 0.0003368433 0.00029579937 0.00036373414 0.0003566576 0.02375453 0.0027697578 0.00038213315 0.00055621605 9.4825635e-05 0.00010897871 0.00037788722 0.00027740037 9.341032e-05 0.00014153079 0.00075152854 0.00015568388 0.00014011549 0.00010473279 0.00010473279 0.0001245471 0.0025121716 0.0019488791 0.00066519476 0.0008053102 0.00011747056 4.387455e-05 0.0004444067 0.00049252715 0.0001613451 7.642663e-05 0.0008746603 4.5289857e-05 4.104393e-05 5.2366395e-05 2.5475543e-05 4.812047e-05 0.0028532608 0.0012284874 8.91644e-05 9.624094e-05 0.00011322464 0.00011747056 8.067255e-05 0.00015426856 0.00010048687 8.91644e-05 9.624094e-05 7.0765396e-05 0.00036514946 7.218071e-05 7.0765396e-05 6.793478e-05 8.6333785e-05 0.00094967167 0.00012737772 0.00015568388 8.350317e-05 0.00021937274 0.0001754982 0.00019814311 0.00016700634 0.0003212749 5.661232e-06 1.1322464e-05 2.830616e-05 0.00011322464 5.0951086e-05 9.624094e-05 0.0001953125 0.025387794 0.02408005 0.024699954 0.024006454 0.024426801 0.023671025 0.024823086 0.023638474 0.024596637 0.02396824 0.024043253 0.12099893 0.024783459 0.023812557 0.02355214 0.023569124 0.0029523324 0.0023423347 0.00234375 0.0021979732 0.0022729847 0.0022588316 0.0020833334 0.002173913 0.0025942596 0.0020281363 0.0021668365 0.00939906 0.002219203 0.0020550273 0.0021144701 0.0022758152 72.0 12.125 873.0 0.056128293 0.0022909509 0.005727377 0.0034364262 0.0045819017 0.0 0.0034364262 0.019473081 0.0045819017 0.0011454754 0.0045819017 0.0068728523 0.026345933 0.008018328 0.013745705 0.012600229 0.005727377 0.0045819017 0.0045819017 0.01489118 0.0045819017 0.008018328 0.0011454754 0.0034364262 0.0045819017 0.0022909509 0.008018328 0.0011454754 0.019473081 0.009163803 0.013745705 0.010309278 0.008018328 0.009163803 0.0 0.0034364262 0.005727377 0.005727377 0.011454754 0.0068728523 0.008018328 0.0068728523 0.0 0.0022909509 0.0068728523 0.0034364262 0.0045819017 0.0022909509 0.008018328 0.0 0.0068728523 0.005727377 0.005727377 0.005727377 0.011454754 0.011454754 0.0011454754 0.0011454754 0.0034364262 0.0011454754 0.0022909509 0.0011454754 0.0022909509 0.0022909509 0.0045819017 0.03436426 0.0045819017 0.026345933 0.019473081 0.08476518 0.008018328 0.008018328 0.008018328 0.02978236 0.0034364262 0.0034364262 0.036655214 0.021764033 0.028636884 0.03436426 0.0068728523 0.0034364262 0.043528065 0.050400916 0.035509735 0.020618556 0.013745705 0.0 0.009163803 0.008018328 0.0034364262 0.0 0.0022909509 0.0011454754 0.0011454754 0.0011454754 5.7347097 0.0 0.0 0.0 2.0 354816.0 372736.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1512687500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -185856.0 0.0 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0736012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1088033 0.0 2.953776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -185656.0 0.0 166448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 192588.0 166448.0 200704.0 0.0 0.0 0.0 0.0 48.0 368640.0 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 192512.0 0.0 0.0 0.0 0.0


Input: 0.3268493 0.0065698023 0.0041503906 0.0024084144 0.0053073093 0.002151077 0.0016386015 0.0013790646 0.005461272 0.0009413711 0.0009611662 0.00079840585 0.0038996516 0.0012470967 0.0006180497 0.0025095898 0.0035213437 0.0006862331 0.00046408715 0.00052567216 0.0017529737 0.0021356805 0.00041349942 0.00051907374 0.0012273015 0.00076321437 0.00032332138 0.00041569892 0.0015220299 0.0004025021 0.00033211923 0.00059385557 0.003774282 0.00026613526 0.00028153154 0.0003519144 0.004469313 0.00067083683 0.0002265449 0.00024194116 0.00072802295 0.00024414062 0.00046188766 0.00070822774 0.00062684756 0.00036291173 0.00085339247 0.00029692778 0.0010095545 0.0006158502 0.00043109516 0.002076295 0.000851193 0.0006532411 0.0005498663 0.00038930532 0.0010887352 0.0011921101 0.00039370425 0.0016473994 0.0007126267 0.00072582345 0.00024853955 0.00059605506 0.0028681024 0.004819028 0.008360167 0.0030506582 0.002524986 0.004581486 0.0018277555 0.0010117539 0.0015484234 0.0009061796 0.0003079251 0.00041569892 0.0014384502 0.003272804 0.0012668918 0.0005784593 0.0049026078 0.0014780406 0.000912778 0.0024699993 0.0009589668 0.0023006406 0.0039128484 0.0025931695 0.0010271502 0.001702386 0.00021994651 0.0009765625 0.00057406037 0.0010887352 0.0022852442 0.0016583967 0.0005850577 0.0015374261 0.00037390908 0.0009391716 0.0018717448 0.0038424656 0.001546224 0.0005520657 0.0029780758 0.0018695453 0.0037236945 0.00026613526 0.0016781918 0.0007390203 0.0019399282 0.0019179336 0.0015814154 0.0003849064 0.0018343539 0.0012822881 0.0074693835 0.0065236134 0.00096776464 0.0010799373 0.0009985572 0.00055646466 0.0005168743 0.00023754223 0.00090398017 0.0011745144 0.00075881544 0.000974363 0.0022016645 0.0008929828 0.00029472832 0.005373293 0.001291086 0.003778681 0.00057186093 0.0003915048 0.001948726 0.005324905 0.0009017807 0.014611047 0.0004926802 0.0054172827 0.000818201 0.00040690103 0.0026613527 0.00014736416 0.00021774705 0.00054106844 0.0004222973 0.00022874436 0.0001451647 0.00012756897 0.0003277203 0.0002573374 0.00010557433 0.000189154 0.00032112192 0.00016056096 0.00030572564 0.00043329463 0.00048828125 0.000600454 0.0001451647 0.00038050747 0.00041129996 0.0003585128 0.0002463401 0.00032332138 0.00042669624 0.0001957524 0.001262493 0.00012976844 0.00035631334 0.00012317004 0.0003277203 0.00021774705 0.0007016294 0.00015396255 0.00020015132 0.00015616202 0.00030572564 0.0001825556 0.0003915048 0.00044869087 0.0015814154 0.00040690103 0.0002397417 0.0005432679 0.00043109516 0.00016715935 0.0006114513 0.0006730363 0.0042361696 0.0013900619 0.0017463752 0.002615164 0.0010931342 0.00012536951 0.0014054582 0.0017287795 0.0010513443 0.0014714422 0.00030572564 0.00034311655 0.0019157341 0.00014736416 0.0010337486 0.00046848608 0.0006994299 0.00055646466 0.00052567216 0.00048388232 0.00071482616 0.00020674971 0.00035411387 0.00043329463 0.000818201 0.00037610854 0.00018695454 0.0005476668 0.0005982545 0.00021334812 0.00038710586 0.0004091005 0.00106894 0.0005146748 0.00020235078 0.00016715935 0.000629047 0.00012536951 0.00027493315 0.00016715935 0.008454744 0.0019597234 0.0002573374 0.002269848 0.001924532 0.00016495989 0.00018035613 0.00020894919 0.0024809965 0.0010491449 0.00036291173 0.00054546737 0.00094796944 0.00012756897 0.001134924 0.00089738175 0.0023776218 0.00064224383 0.00034751548 0.00045089034 0.0023952175 0.0005806588 0.002085093 0.34023747 0.19638826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.27539504 0.0021691592 5.511075e-06 1.102215e-06 3.306645e-06 1.5431011e-05 7.7155055e-06 3.306645e-06 3.306645e-06 1.102215e-06 2.20443e-06 1.102215e-06 2.20443e-06 0.0 8.81772e-06 2.20443e-06 3.0862022e-05 0.004505855 3.4168665e-05 4.849746e-05 9.919935e-06 3.6373094e-05 8.81772e-06 1.102215e-05 4.7395246e-05 0.000102506 1.4328795e-05 2.9759805e-05 9.919935e-06 3.0862022e-05 6.61329e-06 4.188417e-05 0.004091422 0.01103207 6.282626e-05 0.00010911928 4.188417e-05 9.1483846e-05 3.747531e-05 0.00021603414 0.00013887908 8.927941e-05 2.3146515e-05 4.2986387e-05 3.0862022e-05 6.7235116e-05 1.8737655e-05 2.3146515e-05 0.008290862 0.0032019345 6.943954e-05 3.8577524e-05 2.424873e-05 2.20443e-05 1.2124365e-05 1.6533226e-05 3.967974e-05 7.274619e-05 1.6533226e-05 6.61329e-06 8.81772e-06 1.983987e-05 3.306645e-06 7.7155055e-06 0.0077265273 0.0028778834 5.6212964e-05 7.384841e-05 3.527088e-05 0.00012234587 0.00014218573 0.00023366958 0.0001543101 9.919935e-05 2.20443e-05 6.61329e-05 1.8737655e-05 5.4008535e-05 2.0942085e-05 1.763544e-05 0.005034918 0.008239057 0.00014549238 0.0002656338 9.1483846e-05 0.00022485186 8.707499e-05 0.0005356765 0.00031964236 0.00011352815 9.479049e-05 0.00015210567 0.00031964236 0.00015541232 0.000101403784 0.000120141434 0.004835417 0.030663623 0.0005797651 0.0022430075 0.0007924926 0.0025207656 0.00051693886 0.0042942297 0.0023201625 0.0005136322 0.00074619957 0.00025791832 0.0002281585 0.0002491006 0.00030200693 0.00032735785 0.005363378 0.009100989 0.0002270563 0.00066243124 0.00022154521 0.00064259133 0.00042765943 0.0013436001 0.00090050965 0.0004397838 0.00018076327 0.00022485186 0.00012234587 0.00014769682 0.00015541232 0.00021162529 0.003049829 0.014130397 0.00039459296 0.0006106271 0.00046844137 0.0028591456 0.0017558285 0.004671187 0.0028161593 0.0007473018 0.0003593221 0.00086854544 0.00051583664 0.00034278887 0.0003901841 0.00037475312 0.004812271 0.005054758 0.0001752522 0.0005004056 0.0008431945 0.002758844 0.0015089323 0.001922263 0.0015177501 0.0012025166 0.00012895916 0.00051583664 0.00047836133 0.00012565251 0.00018627434 6.392847e-05 0.0033330983 0.010884373 0.0006910888 0.00088287424 0.0005676407 0.0036593538 0.0010625352 0.0030079447 0.0014031198 0.00087295426 0.00047174803 0.0005632319 0.0008762609 0.00039569518 0.00053347205 0.00044860152 0.00076714164 0.0028084437 0.00037475312 0.00016092339 0.00015651454 0.00067235116 0.00021382971 0.00052465434 0.00012785694 0.0011363836 0.00019729648 9.809714e-05 0.00020831864 0.00070211093 0.00037475312 0.0006238537 0.00064920465 0.03256494 0.005644443 0.0046293032 0.0042049503 0.012643509 0.010434669 0.004417678 0.0075810347 0.020201396 0.0022099412 0.001430675 0.0020953107 0.009026038 0.0025097437 0.008253386 0.016622504 0.0320965 0.0071588866 0.0043515447 0.005745847 0.012576274 0.01289812 0.005181513 0.009895686 0.019219324 0.0021305815 0.0017238642 0.0022881983 0.009777749 0.0029142564 0.008092463 0.017448064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 936.0 11.945513 11181.0 0.016009301 0.00026831232 0.0027725606 0.0009838118 0.006171183 0.004114122 0.0 0.00017887488 0.0016993113 0.00035774976 0.00053662463 0.00053662463 0.001430999 0.0016098738 0.013326178 0.0008049369 0.004292997 0.0072444323 0.006886683 0.0021464985 0.002057061 0.006260621 0.004114122 0.00062606204 0.009659244 0.005366246 0.001430999 0.0019676236 0.0016993113 0.0012521241 0.00062606204 0.0050084963 0.011447992 0.03425454 0.006528933 0.023432609 0.01189518 0.019139612 0.011626867 0.012700116 0.009480368 0.0195868 0.0008943744 0.0025936856 0.011447992 0.0135944905 0.014488865 0.009569806 0.017976925 0.004114122 0.014041678 0.029156605 0.015204364 0.006886683 0.013505053 0.019139612 0.003040873 0.002414811 0.0009838118 0.002861998 0.0015204365 0.0025042482 0.002683123 0.00697612 0.0008943744 0.031660855 0.005902871 0.019050175 0.019229049 0.08085144 0.005276809 0.010732492 0.01010643 0.036401037 0.0043824343 0.0021464985 0.03139254 0.015293802 0.036043286 0.041409533 0.015740989 0.00026831232 0.035148915 0.02164386 0.05929702 0.01609874 0.0035774976 0.010911368 0.009212056 0.006260621 0.0008049369 0.00017887488 0.0007154995 0.00053662463 0.00062606204 0.0010732493 5.709599 0.0 0.0 0.0 2.0 454656.0 389120.0 0.0 0.0 311.0 0.0 1.0 0.0 0.0 0.0 1078428000.0 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 6.0 0.0 4.0 0.0 4.0 0.0 143360.0 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 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -143360.0 0.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7362957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4244773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5731964 0.0 1.256288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142328.0 0.0 171632.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 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 0.0 0.0 1.0 0.0 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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 1.0 2.0 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 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 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 -1.0 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 1.0 0.0 0.0 1.0 1.0 -2.0 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 -2.0 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 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 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 -1.0 0.0 0.0 0.0 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 -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 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 -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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 173904.0 171632.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1280.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.0061404486 0.0038968346 0.0038650457 0.003864446 0.0038690444 0.0039914013 0.003944018 0.0038946352 0.0037770765 0.003932022 0.004012994 0.0039772065 0.0038434532 0.003889637 0.0039600125 0.0038674448 0.0038352562 0.0039202264 0.0039570136 0.0039528147 0.003940619 0.0038822396 0.0039720084 0.0038850387 0.0038778412 0.0039140284 0.0038588478 0.0039202264 0.0038962348 0.003944018 0.0038914364 0.003904032 0.0039712084 0.0039138286 0.003923225 0.0039874027 0.003990002 0.003981005 0.0038534498 0.0039408193 0.003940619 0.003941019 0.0038808403 0.0039226254 0.0039282236 0.003977606 0.003901433 0.0039230254 0.0039024325 0.0038800405 0.003898234 0.003941419 0.0039346213 0.0038656455 0.0038420537 0.0038892373 0.0038882375 0.0038402544 0.0038816398 0.0039024325 0.003924625 0.0038886375 0.0038974343 0.003878641 0.003889637 0.0039536147 0.003915628 0.003858448 0.003926824 0.003930023 0.0038694441 0.0038646457 0.0039308225 0.003960212 0.003897834 0.003932022 0.003884639 0.0038736428 0.003961412 0.0039166277 0.003963211 0.00391043 0.0039480166 0.003878641 0.0038734428 0.0038122642 0.0038736428 0.003864046 0.00393862 0.0038876378 0.003913229 0.003841254 0.0038932357 0.003870444 0.0038922362 0.00382406 0.0039148284 0.003926824 0.0038972343 0.0038922362 0.00396681 0.003923225 0.0039230254 0.0038824396 0.0039076307 0.0039170273 0.003835456 0.003870444 0.0038624466 0.0038536496 0.0039024325 0.0038476519 0.0039082305 0.0038836391 0.0039806054 0.0039368207 0.003952415 0.0038320574 0.003926224 0.0039486163 0.003872643 0.003907831 0.003886838 0.0038618469 0.0038888373 0.0038960348 0.0038632464 0.0038248599 0.0039628115 0.003912229 0.0039476166 0.0039562136 0.0039316225 0.003934821 0.0038802403 0.0038706437 0.0038996337 0.00396681 0.0039244248 0.0038798405 0.0038430535 0.0038862382 0.0038940355 0.0038716435 0.003953015 0.0039959997 0.0039912015 0.0038512505 0.003916028 0.0038686444 0.0039164275 0.0039114296 0.0038316573 0.00393862 0.0038850387 0.0038622466 0.0038658455 0.0038366555 0.003915428 0.0039162277 0.0039628115 0.0039426186 0.003946817 0.0038056665 0.00393902 0.0039604125 0.0039164275 0.003818462 0.003914628 0.0038492512 0.0038266592 0.003849851 0.0039002334 0.003769879 0.0038230603 0.0038566487 0.003932022 0.0038656455 0.0039340216 0.003861047 0.003926824 0.0038696441 0.0038494512 0.003821061 0.0039316225 0.0039084307 0.0038662453 0.0038690444 0.003924225 0.0038542494 0.0038696441 0.003864446 0.0039688093 0.0039120293 0.0039178273 0.0039112293 0.0039140284 0.0039004332 0.0038392546 0.0038232603 0.0038944355 0.0038778412 0.0039114296 0.0038902368 0.0039562136 0.0038652457 0.003875042 0.0038634462 0.0039652106 0.0038650457 0.003923625 0.0038254596 0.0038364558 0.0037706788 0.0038364558 0.0038066662 0.00391023 0.0038800405 0.0038770414 0.00382386 0.0038938357 0.0038348562 0.0038516503 0.0038768416 0.003971808 0.0038910366 0.003898234 0.003884239 0.0039116293 0.003787073 0.0038674448 0.003864246 0.003944218 0.0038614469 0.003844053 0.0038806403 0.003895635 0.0038574485 0.0038820398 0.0039048318 0.0039310227 0.0039250245 0.0039018327 0.003864046 0.003915428 0.0038370555 0.0038900368 0.0038796405 0.003933022 0.0039164275 0.0038986339 0.00388124 0.0038776412 0.0038634462 0.003923225 0.004116358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017499329 2.8998886e-06 2.7998924e-06 1.0999578e-06 2.1999156e-06 1.3999462e-06 2.9998847e-07 3.9998463e-07 1.0999578e-06 5.9997694e-07 1.2999501e-06 3.9998463e-07 1.5999385e-06 1.4999424e-06 2.1999156e-06 9.999616e-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 0.00014749434 5.8997734e-06 3.099881e-06 2.6998964e-06 8.499674e-06 6.2997583e-06 1.7899312e-05 7.7997e-06 2.9998847e-07 7.9996926e-07 1.9999231e-07 1.3999462e-06 8.999654e-07 5.9997694e-07 2.9998847e-07 5.9997694e-07 0.00023739088 3.9998463e-07 4.399831e-05 1.6999347e-05 4.299835e-06 4.6998193e-06 6.109766e-05 3.4298682e-05 7.9996926e-07 4.999808e-07 5.9997694e-07 6.999731e-07 6.999731e-07 6.999731e-07 1.1999539e-06 1.1999539e-06 0.00023779087 2.7998924e-06 1.509942e-05 5.1998004e-06 1.55994e-05 1.379947e-05 6.719742e-05 3.3198725e-05 3.5998617e-06 2.3999078e-06 2.0999194e-06 8.999654e-07 8.999654e-07 1.0999578e-06 1.3999462e-06 6.4997503e-06 0.00011959541 9.7996235e-06 2.0999194e-06 3.099881e-06 9.099651e-06 8.799662e-06 1.669936e-05 9.499635e-06 6.4997503e-06 4.999808e-07 1.9999231e-07 9.999616e-07 2.499904e-06 1.1999539e-06 2.6998964e-06 1.1499558e-05 0.00027528944 1.1299566e-05 5.939772e-05 3.2298758e-05 1.799931e-05 1.9099267e-05 8.319681e-05 4.94981e-05 1.9699244e-05 2.7998924e-06 1.4999424e-06 4.0998425e-06 6.4997503e-06 3.4998657e-06 6.399754e-06 2.1799164e-05 0.00036298606 2.1599171e-05 4.5198263e-05 3.3298722e-05 2.2999116e-05 2.2499136e-05 6.649744e-05 4.349833e-05 2.4599056e-05 1.669936e-05 1.4699435e-05 3.11988e-05 1.5499405e-05 1.2799508e-05 1.4699435e-05 7.03973e-05 0.00035088652 3.0398833e-05 3.0398833e-05 2.0799202e-05 3.11988e-05 2.6398986e-05 3.019884e-05 3.1298798e-05 5.5797856e-05 2.809892e-05 2.2099151e-05 5.6597826e-05 3.8698516e-05 3.719857e-05 3.949848e-05 0.00019439253 0.00026178994 2.5299028e-05 6.0097693e-05 4.609823e-05 2.6698975e-05 2.6698975e-05 9.869621e-05 7.179724e-05 4.029845e-05 3.779855e-05 3.5698627e-05 4.68982e-05 3.2698743e-05 2.6598978e-05 2.9498868e-05 0.00015729397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0624816 0.062448703 0.06271959 0.062099215 0.062430702 0.06205512 0.061884623 0.062093016 0.062416803 0.062371906 0.06200982 0.062008318 0.06222631 0.06169943 0.06205452 0.062085316 23622.0 5.771061 136324.0 0.012734368 0.010350342 0.010643761 0.010423697 0.009983568 0.010152284 0.010232975 0.010445703 0.0102036325 0.010555735 0.010005575 0.010232975 0.010379684 0.011017869 0.010328336 0.010291658 0.010460374 0.010438368 0.010291658 0.010607083 0.01056307 0.010078929 0.00991755 0.010152284 0.010555735 0.010269652 0.010166955 0.010056923 0.010291658 0.010856489 0.010276987 0.010012911 0.009902879 0.010555735 0.0100936005 0.009719492 0.009961562 0.010181626 0.010445703 0.009308706 0.010673102 0.010973857 0.010328336 0.0107317865 0.0103063295 0.00969015 0.010144949 0.009924885 0.010210968 0.010262316 0.010130278 0.009792847 0.010350342 0.010621754 0.010343007 0.010541064 0.0105484 0.010475045 0.010042252 0.009961562 0.009983568 0.010247645 0.010343007 0.009404067 0.009954227 0.011399314 0.011076553 0.010922508 0.010849154 0.012272234 0.010592412 0.0102036325 0.010188961 0.011604707 0.010115607 0.010665767 0.011208591 0.010269652 0.011039875 0.01111323 0.010673102 0.010431032 0.011369972 0.011237933 0.011303952 0.010020246 0.010504386 0.0105190575 0.010188961 0.010343007 0.011245268 0.01040169 0.010020246 0.0096681435 0.0099909045 0.009426073 6.5831056 0.0 0.0 0.0 72.0 5001752.0 5697536.0 0.0 0.0 15.0 0.0 1.0 0.0 0.0 0.0 1412124400.0 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 -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 0.0 1024.0 4096.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5684736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.570357 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7713165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9993463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 618.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -559.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5684668.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 4252.0 5684668.0 12288.0 0.0 0.0 12968.0 5687808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.25478515 0.014409722 0.0071072048 0.005327691 0.0071614585 0.006423611 0.01405165 0.006152344 0.0101454 0.008452691 0.010286459 0.004166667 0.012055121 0.003689236 0.010850694 0.0035373264 0.0038845486 0.012782118 0.0051540798 0.005902778 0.005403646 0.0020833334 0.008799913 0.005685764 0.003515625 0.0034288194 0.0033203126 0.002593316 0.0025499132 0.0031467015 0.0023003472 0.005533854 0.03515625 0.0020724826 0.002018229 0.0015190972 0.0016384549 0.003862847 0.0037868924 0.0014756945 0.011219618 0.0016167535 0.0036024305 0.0041015623 0.001453993 0.0048502604 0.0026909723 0.0027777778 0.0063476562 0.002983941 0.0026584202 0.0025173612 0.0020399306 0.004036458 0.0023654513 0.0023871528 0.012988281 0.0037000868 0.002983941 0.0012478299 0.0017903646 0.0017252604 0.0019748264 0.001312934 0.0013997395 0.0027126735 0.0021918402 0.0031792535 0.0026150174 0.0025282118 0.0021375867 0.0023111978 0.0018880208 0.0027452258 0.001453993 0.0020073785 0.0015733507 0.0022677951 0.0020507812 0.001985677 0.0024739583 0.0016493056 0.0029296875 0.0035481772 0.0033745659 0.0018771702 0.0018663194 0.0018229167 0.0065212674 0.004654948 0.0015950521 0.0012261284 0.0010850695 0.0013563368 0.0009657118 0.0035373264 0.0016167535 0.0066297743 0.0034179688 0.0045030382 0.0046766493 0.014908854 0.0024414062 0.002983941 0.0022569445 0.008365885 0.00202908 0.0018337674 0.0049153646 0.003938802 0.0073242188 0.008984375 0.0041015623 0.0019314236 0.007595486 0.0070095486 0.010004341 0.003797743 0.002061632 0.0016710069 0.001996528 0.0036675348 0.0012912326 0.001030816 0.0010525173 0.0012044271 0.0017252604 0.0012152778 0.0029947916 0.0018988715 0.0011827257 0.0007052951 0.0008789062 0.0009548611 0.0012261284 0.000922309 0.00091145834 0.0009874132 0.0009006076 0.0011501736 0.0014648438 0.0014105903 0.0014865452 0.0009006076 0.0010525173 0.0021375867 0.0010525173 0.0014431423 0.00071614585 0.0010525173 0.0013997395 0.000922309 0.0008789062 0.00083550345 0.0032986111 0.00078125 0.00625 0.00086805556 0.00083550345 0.00081380206 0.0012369792 0.00088975695 0.0017469618 0.0009548611 0.0007269965 0.001030816 0.0009548611 0.0007703993 0.001171875 0.0010525173 0.0008789062 0.0006510417 0.0009006076 0.00069444446 0.0009657118 0.0010959201 0.0014865452 0.0010742188 0.00091145834 0.00078125 0.0009331597 0.0009440104 0.0008789062 0.00083550345 0.000998264 0.00066189235 0.0008463542 0.0009331597 0.0009331597 0.00083550345 0.0009331597 0.0007486979 0.0010742188 0.0008789062 0.00088975695 0.0011284723 0.0009657118 0.0009874132 0.0008463542 0.0011610243 0.00088975695 0.001030816 0.0012912326 0.0009765625 0.001030816 0.00081380206 0.00085720484 0.0009331597 0.0011284723 0.0011067708 0.0013454861 0.0021484375 0.0011067708 0.0008789062 0.0010199653 0.0009874132 0.0010416667 0.0011935764 0.0011610243 0.000998264 0.0012261284 0.0017361111 0.0011501736 0.0013020834 0.002170139 0.0011176215 0.001063368 0.0011067708 0.0012369792 0.0010742188 0.0013020834 0.0010091146 0.001312934 0.0012369792 0.0010742188 0.001030816 0.0010416667 0.0010416667 0.0010091146 0.0011067708 0.0013020834 0.0013997395 0.0012803819 0.0011393229 0.0012912326 0.001171875 0.0012586806 0.0010416667 0.0012044271 0.0029622396 0.0006727431 0.00066189235 0.0007486979 0.00073784724 0.01672092 0.038107637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0081636235 0.0007241924 0.000806487 0.00019750702 0.00016458919 0.00015361658 0.000340151 0.00016458919 6.0349368e-05 8.77809e-05 3.8404145e-05 4.389045e-05 7.132198e-05 9.875351e-05 1.6458918e-05 0.000104239814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014193074 0.0049321894 0.0017227002 0.0017117276 0.003763606 0.0040763253 0.0146484375 0.009326721 0.0008119733 0.00030723316 0.00015910288 8.77809e-05 9.875351e-05 0.00012618504 0.000104239814 0.00010972613 0.14696169 0.023552712 0.03584204 0.01875768 0.011801044 0.013227484 0.036922842 0.020381628 0.003225948 0.0057825665 0.0027321805 0.0016513781 0.0022274402 0.002095769 0.0014922753 0.010423982 0.12245435 0.02759612 0.023464931 0.015290336 0.0066274577 0.009771111 0.014225992 0.008580583 0.004696278 0.0068578827 0.0023536254 0.0020025019 0.0023591116 0.00365388 0.0027980162 0.01693074 0.052553326 0.008591555 0.009754652 0.006704266 0.0028803106 0.004339668 0.004548148 0.0031491397 0.0023316802 0.0025950228 0.0017995085 0.0014099807 0.0015800562 0.003747147 0.0052229636 0.023624035 0.011170119 0.0016788096 0.0024523789 0.001415467 0.0007022472 0.00074613764 0.00060897996 0.0006748157 0.0004334182 0.00076808286 0.0008558638 0.0009930214 0.0014483848 0.0014428985 0.0015251931 0.006792047 0.004026949 0.0002798016 0.00048828125 0.00047182234 0.00046084973 0.000340151 0.001344145 0.0008558638 0.00018653441 0.00024688378 0.00020847963 0.00023591117 0.00018653441 0.00032369207 0.00045536342 0.0011246927 0.008284322 0.003494777 0.0031162219 0.0023371663 0.0021396594 0.0019202072 0.002293276 0.0020902827 0.0018927756 0.0016184603 0.0018433989 0.0019256935 0.0017940222 0.0019311798 0.0014099807 0.0068523963 0.006056882 0.006056882 0.0064189783 0.006572595 0.006781074 0.006303766 0.006144663 0.0063860603 0.006539677 0.00634217 0.005908752 0.006523218 0.0061227176 0.006325711 0.006106259 0.006534191 806.0 15.725806 12675.0 0.048757397 0.0014201184 0.004733728 0.0007889546 0.0018145957 0.0003944773 0.00023668639 0.0014201184 0.0012623274 0.0008678501 0.0007100592 0.00047337278 0.00094674557 0.009940828 0.00852071 0.002366864 0.010493097 0.0067061144 0.0069428007 0.007179487 0.0060749506 0.004023669 0.0057593687 0.0050493097 0.004891519 0.004733728 0.0011045365 0.00047337278 0.005285996 0.0034714004 0.0052071004 0.0003944773 0.0003944773 0.01285996 0.005601578 0.012307692 0.008441814 0.009546351 0.0070216963 0.00678501 0.0051282053 0.010650887 0.0031558184 0.005601578 0.0053648916 0.008126233 0.007100592 0.0067061144 0.008126233 0.0036291913 0.012071006 0.017672583 0.009861933 0.005443787 0.004023669 0.0057593687 0.0029980277 0.0031558184 0.0024457595 0.0006311637 0.0003944773 0.0006311637 0.00015779093 0.010887574 0.00094674557 0.035897437 0.013333334 0.025167653 0.022169625 0.0869428 0.009940828 0.013648915 0.009704142 0.046311636 0.003392505 0.007100592 0.027928995 0.020433925 0.037317555 0.039368838 0.018382642 0.004575937 0.04307692 0.03968442 0.062011834 0.021617357 0.008757397 0.0060749506 0.0067061144 0.017357001 0.0022879685 0.00094674557 0.00047337278 0.0007100592 0.00023668639 0.002366864 5.6414475 0.0 1.0 0.0 3.0 92160.0 122880.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541083100.0 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 2.0 -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 -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 6.0 0.0 4.0 0.0 4.0 0.0 79360.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79360.0 1024.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2817965 7.281742 5.920337 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 -79044.0 744.0 10024.0 0.0 0.0 0.0 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 75.0 87152.0 10024.0 98304.0 0.0 0.0 0.0 0.0 12.0 114688.0 28.0 87081.0 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: 0.23975848 0.010390075 0.008734045 0.007895026 0.00871754 0.0070972713 0.0063050175 0.00615647 0.007765735 0.0059033893 0.0069982396 0.004932328 0.006690141 0.0067644147 0.0045609595 0.005994168 0.0054357396 0.0034055898 0.0039860257 0.00415658 0.0043738997 0.0055402727 0.003631162 0.003653169 0.0044701803 0.003768706 0.0032515405 0.003080986 0.0033698285 0.0030892387 0.003262544 0.003080986 0.012392716 0.0029131821 0.0030177156 0.00268761 0.004478433 0.002731624 0.002761884 0.0028801716 0.0039145024 0.0028169013 0.0032047755 0.0031305018 0.003237786 0.0024262764 0.0041290713 0.0024647887 0.0041483273 0.002503301 0.0025445642 0.0035678917 0.0027756381 0.0020824163 0.0022859816 0.0017880722 0.002272227 0.0024317782 0.0019806337 0.0027013645 0.0021759463 0.0025115537 0.0019008582 0.002412522 0.0037329446 0.004387654 0.0041730856 0.0026160872 0.0032212809 0.0047617736 0.0026738557 0.0021209286 0.0024785432 0.0030617297 0.0020191462 0.0015680018 0.0027756381 0.002825154 0.0025170555 0.0021786971 0.0035623899 0.0021016726 0.0026545995 0.0027068662 0.0034358494 0.0044701803 0.0025830765 0.0021676936 0.0015817562 0.0026380941 0.0013864436 0.0017605633 0.001587258 0.002486796 0.0020218971 0.0019888864 0.0020631603 0.0047012544 0.0018018266 0.0027948944 0.004371149 0.007240317 0.0031084947 0.001768816 0.0028416594 0.0037356955 0.002759133 0.001768816 0.005119388 0.003009463 0.004269366 0.0040162853 0.0023107394 0.0016450264 0.0039447625 0.0038319763 0.006791923 0.005080876 0.0018513424 0.0016972931 0.0018210828 0.0017413072 0.00131217 0.0013424295 0.0016285211 0.0017082967 0.001837588 0.0017137984 0.0032762985 0.00199989 0.0017358054 0.004552707 0.0021044235 0.003721941 0.0014139524 0.0012461487 0.0017715669 0.0037191901 0.0016862896 0.010046215 0.0014744719 0.0033698285 0.0014524648 0.0014689701 0.0021071744 0.0012268926 0.0013891945 0.0013231734 0.0013754402 0.001265405 0.0014772227 0.0011773767 0.0012461487 0.0013149207 0.0011361135 0.0012791593 0.0011141065 0.0011663733 0.0013864436 0.0012791593 0.0018100792 0.0015735035 0.0014552156 0.0014084507 0.0012488996 0.0034138425 0.0012021346 0.0011608715 0.0014414613 0.001103103 0.0013424295 0.0011168574 0.0012709067 0.0011883803 0.0013974472 0.0011856294 0.0014607174 0.0010370818 0.0012599032 0.001196633 0.0011306118 0.0013149207 0.0016147668 0.0016202684 0.0017110475 0.001171875 0.0012158891 0.0011856294 0.0011526188 0.0013589349 0.001449714 0.0012709067 0.0041043134 0.0021484375 0.0015267385 0.0026023327 0.0016532791 0.00121864 0.0017082967 0.0022227112 0.0018926057 0.0014799736 0.0012076364 0.001446963 0.0037054357 0.0013039173 0.0012956646 0.0015762544 0.0015817562 0.0013506822 0.0016065141 0.0015294894 0.0012268926 0.0011553697 0.0013616857 0.001515735 0.0016670334 0.0013011664 0.001196633 0.0015102333 0.001356184 0.0011223592 0.001356184 0.0012956646 0.0021484375 0.0013451804 0.0012351453 0.0013836927 0.0015239876 0.0015074824 0.0012764084 0.001402949 0.0071770465 0.0018761003 0.0011911312 0.0023024867 0.0022089568 0.0012929137 0.0012461487 0.0013176716 0.0023602552 0.0013726893 0.0011691242 0.0013974472 0.0015514964 0.0012241417 0.0017193002 0.001493728 0.002486796 0.0015129842 0.0013699384 0.0023079885 0.002684859 0.0018871039 0.01996864 0.07369058 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026938228 2.3448534e-05 0.0 1.3793256e-06 0.0 0.0 0.0 2.7586511e-06 2.7586511e-06 0.0 0.0 0.0 4.1379767e-06 0.0 4.1379767e-06 9.241481e-05 0.0050276415 0.00017103637 6.0690323e-05 3.448314e-05 2.7586511e-06 1.3793256e-06 2.7586511e-06 1.3793256e-05 9.6552785e-06 5.5173023e-06 4.1379767e-06 6.896628e-06 1.10346045e-05 0.0 1.10346045e-05 0.0002868997 0.0073393914 0.00016551907 0.00013103592 4.1379768e-05 6.896628e-05 6.620763e-05 8.965616e-05 5.9310998e-05 4.1379768e-05 4.2759093e-05 1.6551907e-05 4.1379768e-05 1.241393e-05 1.3793256e-06 2.8965836e-05 0.00032827948 0.013844291 0.00032827948 0.000113104696 0.00019310557 0.00021655411 0.000102070095 0.00023034737 0.00017379502 9.379414e-05 4.1379768e-05 2.0689884e-05 3.0345162e-05 0.00010620807 1.6551907e-05 7.58629e-05 0.0013627737 0.025589248 0.0015020856 0.0008110434 0.00056828215 0.00046345338 0.00025655454 9.241481e-05 0.000113104696 0.000113104696 0.00012551862 0.000102070095 0.0001517258 0.00013655324 0.000113104696 0.00015310514 0.0036069364 0.036821097 0.003270381 0.0024607168 0.0016579493 0.000889665 0.00042345296 0.00036552126 0.00021655411 0.00016551907 0.00012551862 0.00013655324 0.00013241525 0.00018207097 0.00018620896 0.00019724356 0.00644145 0.054984055 0.0072166314 0.006566969 0.0039628022 0.0018703655 0.00041379768 0.0012510483 0.000652421 0.00012827727 0.00012827727 0.0001406912 0.00018207097 0.00022207142 0.00021655411 0.000296555 0.012162893 0.038702495 0.0040662517 0.003911767 0.0017820887 0.0023917505 0.0009793212 0.0030731373 0.0022000242 0.0005600062 0.00041793563 0.0004000044 0.00040138373 0.000533799 0.0004648327 0.00036827993 0.0075435317 0.020924369 0.0030910687 0.002554511 0.0013255319 0.0012207031 0.0009062169 0.0019641595 0.001364153 0.00053241965 0.0002579339 0.00030621028 0.000355866 0.0003944871 0.00034483138 0.00033793476 0.0064924853 0.019198833 0.0053573004 0.0067628333 0.0018814001 0.004371083 0.003000033 0.0076759467 0.004477291 0.00062345515 0.0003875905 0.00033517613 0.0003296588 0.00030483096 0.00019034692 0.00011448402 0.0071366304 0.021587824 0.0055531645 0.0036814199 0.0023751985 0.002791755 0.0019517457 0.0024289924 0.0017131224 0.0011020812 0.0009282861 0.0007972502 0.00079173286 0.00095587265 0.00090207893 0.0012758762 0.013310492 0.024538202 0.006744902 0.004593154 0.00364004 0.0035131422 0.002622098 0.0025655455 0.0026179599 0.0030703787 0.0017255363 0.0013200146 0.001300704 0.0016262248 0.0013627737 0.0017213983 0.01895883 0.010423563 0.0017338123 0.0029793433 0.0016082936 0.003368313 0.0023103703 0.0026593397 0.0020703676 0.004677293 0.0007462151 0.00092690677 0.0008800097 0.0019889874 0.0009075962 0.0021020921 0.0058152364 0.03200035 0.0060345493 0.009444242 0.0064248983 0.011056674 0.009762866 0.015983624 0.010007007 0.014448435 0.0028552038 0.0038538356 0.0035752119 0.008296643 0.0038441804 0.007891121 0.015538103 0.029968606 0.016313283 0.015186374 0.014633265 0.014961544 0.01638363 0.017067775 0.014647058 0.01957539 0.013513252 0.0150112 0.013013937 0.016358802 0.013637392 0.01593121 0.019334007 1502.0 14.155792 21262.0 0.123365626 0.0012228389 0.0015050324 0.0014580002 0.00249271 0.0011287744 0.0015050324 0.0071959365 0.006725614 0.0047502588 0.0022575487 0.0011758066 0.010488195 0.0018812906 0.010206001 0.0012698711 0.003386323 0.0029160003 0.0023516132 0.0021634842 0.0014580002 0.0010817421 0.0016931616 0.0009876776 0.00089361303 0.0018812906 0.0015990969 0.0011758066 0.0021634842 0.0066315494 0.0021634842 0.0016931616 0.0063493554 0.01100555 0.004797291 0.010629292 0.010300065 0.019001035 0.0047032265 0.005879033 0.004044775 0.01951839 0.0021634842 0.0019283228 0.015003292 0.0063963877 0.015426583 0.010300065 0.011287743 0.0023516132 0.018107422 0.013592324 0.027654972 0.0073370333 0.0034333554 0.0052676136 0.0020694197 0.0031041293 0.0013169034 0.0068667107 0.0017872261 0.006537485 0.0013169034 0.0050794845 0.0031981939 0.043692973 0.0064904527 0.02060013 0.034192458 0.07322924 0.005926065 0.010111936 0.0050794845 0.026055874 0.0029160003 0.0029630326 0.019377293 0.016790519 0.033110715 0.037719876 0.01100555 0.00249271 0.03320478 0.036826264 0.051500328 0.01871884 0.0045150975 0.0038566457 0.0035274199 0.00747813 0.0014109679 0.0014109679 0.0012228389 0.0010347099 0.0015050324 0.0014109679 5.5136423 1.0 0.0 0.0 5.0 363520.0 446464.0 1.0 0.0 116.0 0.0 1.0 0.0 0.0 0.0 1320574500.0 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 10.0 0.0 5.0 1.0 5.0 1.0 83968.0 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 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83968.0 0.0 228864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.296728 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6421258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.928509 0.0 6.007016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83878.0 0.0 228568.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 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 1.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 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 -1.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 132380.0 228568.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 90896.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 130176.0 0.0 0.0 720.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.0069631785 0.005930768 0.0057293996 0.0055951546 0.006218436 0.0050054337 0.0054545165 0.00436617 0.0062280255 0.0044316947 0.0050230133 0.004593109 0.005801317 0.004204756 0.0045803236 0.0043405998 0.006124145 0.003952247 0.004236719 0.003971425 0.0051540625 0.0038243942 0.00426229 0.004112063 0.0052227834 0.0035942595 0.0039890045 0.0036709711 0.0049606855 0.0036773637 0.0037988238 0.0038579556 0.005542415 0.0040609217 0.0037460844 0.003650195 0.004642652 0.0035958576 0.0038787317 0.0034552196 0.004434891 0.0032986 0.003691747 0.0040944833 0.0043485905 0.0034743976 0.0037972257 0.0037572717 0.004836029 0.0031723455 0.00374129 0.003530333 0.004286262 0.0031803362 0.003701336 0.003448827 0.0043933387 0.0035926613 0.003269833 0.0041616056 0.004527584 0.0032091031 0.0034807902 0.003429649 0.0055216393 0.004214345 0.0042415136 0.003870741 0.0041168574 0.0036326153 0.004032155 0.0036086428 0.0048823757 0.0036182317 0.0036853545 0.0035942595 0.0040257624 0.003640606 0.0040577254 0.0034664066 0.005296299 0.003961836 0.0042399154 0.004124848 0.004011379 0.003701336 0.0044620596 0.004482836 0.00426229 0.003097232 0.0035015661 0.003269833 0.003830787 0.0032970018 0.003678962 0.0043294127 0.0044604614 0.003408873 0.0032810203 0.0028910695 0.0037732532 0.0030444928 0.0036182317 0.0028942658 0.004757719 0.0034839865 0.003742888 0.0031132137 0.0038195997 0.0032011124 0.0034424344 0.0035622963 0.004594707 0.0029166401 0.0036278206 0.0030221185 0.005048584 0.0042686826 0.003651793 0.003448827 0.0039011058 0.003277824 0.0030221185 0.0030620724 0.004030557 0.003207505 0.0035782778 0.00458352 0.0056239213 0.004562744 0.0040385476 0.0042079524 0.0041679987 0.0036725693 0.0037940294 0.0032906092 0.0040561273 0.0043581794 0.0039442563 0.0050022374 0.0035830722 0.0042175413 0.0034136674 0.002865499 0.004332609 0.0031691492 0.0033545357 0.0030780542 0.0034712013 0.0030588761 0.0034136674 0.0031691492 0.0032714312 0.0028591063 0.0031419804 0.0028623026 0.0033241706 0.0029134436 0.003397686 0.0032059068 0.003742888 0.0030604743 0.0030828486 0.0027200666 0.0036246243 0.0029933515 0.003349741 0.0028894714 0.0034136674 0.0030189222 0.002815956 0.0028926677 0.0035591 0.0029997444 0.0031691492 0.0029901552 0.0040241643 0.0030221185 0.0028814806 0.0027568243 0.0035351275 0.002926229 0.0033257687 0.003125999 0.004009781 0.003178738 0.003006137 0.0032234865 0.0034216582 0.0028910695 0.003309787 0.0044732466 0.005101323 0.0041584093 0.0040353513 0.003971425 0.0034823883 0.0031499711 0.0036981397 0.0032618423 0.0041632038 0.0031307933 0.0032234865 0.0030381002 0.0031835325 0.0029406124 0.0031228026 0.00311641 0.004252701 0.0033225724 0.0036310172 0.0031531677 0.0033113852 0.0029054529 0.0033049926 0.0029198364 0.003925078 0.0029917534 0.0033337595 0.0032426645 0.0033880968 0.0031052227 0.0030381002 0.00398421 0.0046410537 0.0034935754 0.0031020264 0.003028511 0.0037460844 0.0026673272 0.0028511155 0.002924631 0.0037988238 0.0034040785 0.003097232 0.004573931 0.003418462 0.003017324 0.0031947198 0.0033369558 0.004836029 0.0032234865 0.0029725756 0.0029134436 0.0032522534 0.0029821645 0.0034727994 0.003108419 0.00462667 0.0027488333 0.0034632103 0.0029230327 0.0038164034 0.0033960878 0.004423704 0.04290098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007196145 6.403688e-05 6.563781e-05 4.3224896e-05 5.7633195e-05 6.403688e-05 8.9651636e-05 9.685579e-05 8.484887e-05 2.0811987e-05 3.201844e-05 5.6032273e-05 5.363089e-05 4.0023053e-05 6.8839654e-05 8.244749e-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 0.0008212731 0.0006315638 0.00062035734 0.00044505636 0.00018170466 0.00014568391 0.0002137231 0.00021932634 0.00044105406 0.00017530097 0.00014568391 0.00017450051 0.00017049821 0.00015689037 0.00020171619 0.00017370006 0.082348235 0.06769899 0.06278496 0.059502274 0.064022474 0.06338451 0.056191567 0.05896116 0.06431224 0.051866677 0.050183307 0.052927285 0.056603003 0.05366211 0.05406154 0.09493228 3234.0 5.762523 18636.0 0.01550762 0.010517279 0.007887959 0.0077806395 0.013092939 0.010141661 0.0101953205 0.009980682 0.013522215 0.009175789 0.009175789 0.009497746 0.011751449 0.009766044 0.009819704 0.00901481 0.014112471 0.009175789 0.011000215 0.009980682 0.01159047 0.008424555 0.0103563 0.007941619 0.011268512 0.0128783 0.008746512 0.010463619 0.013253917 0.008639193 0.0075660013 0.007887959 0.015722258 0.011966087 0.010839236 0.010946555 0.0128783 0.009658725 0.010624598 0.008639193 0.014273449 0.009229449 0.009605066 0.008263576 0.009873363 0.009390427 0.009336768 0.009497746 0.016527152 0.01164413 0.011805109 0.012556342 0.012073406 0.01159047 0.013039279 0.012985619 0.012556342 0.007083065 0.010088001 0.008585533 0.010946555 0.008317236 0.010570938 0.010892895 0.010946555 0.009390427 0.009229449 0.00896115 0.011375831 0.008263576 0.0090684695 0.0091221295 0.013575874 0.010785576 0.009497746 0.008263576 0.0128783 0.009766044 0.009980682 0.01040996 0.014541747 0.0074050226 0.010463619 0.008209916 0.017600343 0.012341704 0.008692852 0.008209916 0.010892895 0.0077806395 0.0072977035 0.006707448 0.009605066 0.008209916 0.008907491 0.009497746 6.5551233 1.0 1.0 0.0 10.0 625720.0 1454080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1451122600.0 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 7.0 10.0 4.0 0.0 4.0 0.0 655360.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8815565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -655360.0 0.0 0.0 0.0 0.0 0.0 724992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 820.0 1453236.0 68788.0 1384448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0