Input: 0.08545712 0.006909058 0.0043240604 0.005914465 0.0071615404 0.002967261 0.0039016828 0.004033823 0.0060053114 0.003021533 0.0030793445 0.002925967 0.006094978 0.002811524 0.0028705152 0.0060666627 0.005536921 0.0030899628 0.002421002 0.0024151027 0.0051876926 0.0037223494 0.0025437037 0.0022676245 0.0046272753 0.0025460634 0.0027489932 0.0027973661 0.0041199503 0.0027065196 0.002887033 0.003994889 0.004722841 0.0021059883 0.0024221817 0.0033542437 0.0135738915 0.0023620105 0.0023738088 0.0026782039 0.003677516 0.002581458 0.0026734844 0.0038285337 0.0032256427 0.0024906115 0.0025496029 0.0025307257 0.003406156 0.003028612 0.0026841029 0.004334679 0.0032504192 0.0027407345 0.002697081 0.0027218573 0.003224463 0.002737195 0.002459936 0.004222595 0.003427393 0.002995577 0.0032055858 0.00425917 0.0044231657 0.003642121 0.002981419 0.0045175515 0.0056383857 0.0035394763 0.004678008 0.0036692573 0.0040998934 0.0032433402 0.00263573 0.0026487082 0.004771214 0.0032716559 0.003697573 0.0039347177 0.00500128 0.003953595 0.0035029019 0.0042060777 0.004374793 0.00392056 0.005008359 0.0043217004 0.0027678704 0.002581458 0.0029365856 0.003495823 0.0034167746 0.0032940726 0.0041647837 0.004209617 0.0024021247 0.0031914278 0.002710059 0.0035512745 0.0029106294 0.0038367924 0.0046508717 0.002135484 0.0029566425 0.003520599 0.0035866695 0.0028705152 0.0038910643 0.0030179934 0.0033082305 0.0039240993 0.002785568 0.0031725506 0.0036138054 0.0028882127 0.005656083 0.0042485516 0.002980239 0.0028740547 0.0028410198 0.002804445 0.0029719803 0.0023749887 0.004049161 0.0033448052 0.0039901696 0.004842004 0.0033294675 0.0032704761 0.002446958 0.0066329786 0.0033365465 0.0048750388 0.003130077 0.0026251117 0.0030026557 0.009654512 0.004334679 0.019688927 0.0029755197 0.00622004 0.0034757657 0.0038179152 0.010579495 0.0028905724 0.002817423 0.0025731993 0.0026675854 0.0028551775 0.002900011 0.002629831 0.0024894318 0.0029118091 0.0026451687 0.0025578616 0.0024493176 0.0023030194 0.002688822 0.0031737306 0.0024033044 0.002264085 0.0019832866 0.002744274 0.0024634756 0.002575559 0.0026864626 0.0035642528 0.0027619714 0.002872875 0.0024044842 0.0027631512 0.0024504976 0.0027961864 0.0029483838 0.0037058317 0.0024434186 0.0030592873 0.0024328001 0.002338414 0.0026451687 0.002894112 0.0029708005 0.0031855288 0.0032162042 0.0029212479 0.0022699842 0.0025625809 0.002588537 0.0026557872 0.0029731602 0.0040515205 0.005055552 0.004300464 0.0036385816 0.0044302447 0.0050331354 0.0030132742 0.0033554237 0.0049375696 0.0033129498 0.003554814 0.0031395156 0.003453349 0.0029637215 0.003021533 0.0023702693 0.0024174624 0.0028363003 0.0027324758 0.0031501339 0.0035595335 0.003170191 0.0026557872 0.0025201072 0.0033860991 0.0039123013 0.0036881345 0.0027478135 0.003771902 0.0029991162 0.0027076993 0.0025295457 0.003474586 0.0026251117 0.0030392304 0.0035005421 0.0032622174 0.0030392304 0.003237441 0.0027666907 0.0022605455 0.00567614 0.003603187 0.0031182787 0.0035666123 0.0030935023 0.003251599 0.0025366247 0.0029224276 0.003075805 0.0035123404 0.0033684017 0.0030876033 0.0033271078 0.0033719412 0.0035666123 0.0033625024 0.0043972093 0.003819095 0.0035701517 0.0036161651 0.004224955 0.0042473716 0.005367026 0.016046805 0.008434379 3.5468372e-06 4.7291164e-06 2.3645582e-06 4.7291164e-06 0.0 1.1822791e-06 0.0 3.5468372e-06 0.0 0.0 0.0 0.0 0.0 2.3645582e-06 1.7734186e-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 0.0011379436 8.867093e-06 2.3645582e-06 2.9556977e-06 3.5468372e-06 2.9556977e-06 4.7291164e-06 5.9113954e-06 2.482786e-05 2.9556977e-06 1.7734186e-06 2.3645582e-06 1.7734186e-06 2.3645582e-06 2.9556977e-06 2.3645582e-06 0.0010806031 1.7734186e-05 1.4187349e-05 1.0640511e-05 1.241393e-05 4.1379767e-06 2.0689884e-05 1.3005069e-05 4.1379767e-06 7.0936744e-06 1.7734186e-06 3.5468372e-06 3.5468372e-06 2.3645582e-06 1.0049372e-05 4.7291164e-06 0.0020482985 7.6257e-05 4.2562046e-05 4.7882302e-05 3.665065e-05 3.842407e-05 2.6010139e-05 2.5419e-05 3.0148116e-05 9.458233e-06 8.275953e-06 8.867093e-06 4.1379767e-06 5.9113954e-06 7.0936744e-06 5.9113954e-06 0.0038057563 0.00011645449 0.00012650386 6.147851e-05 0.00011645449 8.039497e-05 0.00023822923 0.00018029756 2.5419e-05 9.458233e-06 1.3005069e-05 1.0640511e-05 1.5369627e-05 8.867093e-06 1.4187349e-05 2.0098743e-05 0.010959135 0.0002813824 0.00035350144 0.000279609 0.00034286093 0.00027310647 0.000533799 0.00036591536 0.00018975578 0.00013477981 0.00012650386 0.00012473045 0.00012236588 0.000120592464 0.00013418867 0.00018561781 0.0015558793 4.0197487e-05 6.443421e-05 5.2020278e-05 6.443421e-05 3.5468373e-05 0.00023645582 0.00013064184 0.000102267135 2.2463302e-05 1.5960768e-05 1.1231651e-05 1.6551907e-05 1.1822791e-05 1.8916466e-05 4.2562046e-05 0.011955205 0.00023704694 0.0011243473 0.00033872295 0.00084710296 0.0004203002 0.0023970709 0.0011982399 0.00032926473 0.00013241525 3.3694952e-05 7.448358e-05 7.9212696e-05 3.0739255e-05 0.0001436469 0.0012396196 0.0067094336 0.00020098744 0.00046581795 0.00037182675 0.00068867754 0.00040256602 0.0018082958 0.0010226713 0.00032926473 0.00016433679 6.5616485e-05 0.00013241525 0.00017024818 0.00012945956 0.00010699625 0.00054857746 0.0051659686 0.0002228596 0.00023172669 0.00072887505 0.00015369628 9.280891e-05 0.0006171497 0.00020985454 0.00033517613 0.0006478889 6.088737e-05 0.0001046317 0.0006071003 0.00014305576 0.0001241393 0.0014500653 0.00091331056 4.847344e-05 3.2512675e-05 0.00014246463 0.0002677862 7.152788e-05 0.00030916597 0.00014778489 5.2020278e-05 4.5517743e-05 7.507472e-05 0.000105813975 4.7882302e-05 3.783293e-05 2.482786e-05 9.931144e-05 0.0019945048 0.00044985718 0.00028197357 0.00016138109 0.00047291163 0.00034699892 0.00034581663 0.00025478113 0.00059291295 0.00015842539 9.2217764e-05 0.00012473045 0.00027783558 0.000101676 0.00010108486 0.0002961609 0.027510451 0.0060739587 0.006723621 0.0036538334 0.009100593 0.00865783 0.002791361 0.004385073 0.019015776 0.004375024 0.0010829676 0.0015458298 0.0073389974 0.0033328447 0.0037330461 0.006901554 0.028098635 0.0074111163 0.010226123 0.0050181835 0.010889381 0.01142318 0.0036201384 0.0056749396 0.023232374 0.006363617 0.0016977527 0.0023231783 0.009935282 0.0046883277 0.0054668584 0.009209363 0.041872185 0.038442396 0.037495982 0.04055099 0.03837737 0.03932142 0.03949758 0.041840266 0.03865343 0.03905245 0.040135417 0.040648527 0.03939886 0.041240256 0.041626863 0.051967077 3394.0 6.7746024 22993.0 0.022876527 0.0040447093 0.0063062673 0.006915148 0.024659678 0.0054799286 0.005392946 0.006175793 0.013264907 0.007871961 0.0066107074 0.0064802333 0.007697995 0.007828469 0.0069586397 0.006741182 0.009437655 0.0074805375 0.0075675207 0.007393555 0.0069586397 0.0058278604 0.006654199 0.006741182 0.007828469 0.008350368 0.007176097 0.009350672 0.008828774 0.008915757 0.006741182 0.009220198 0.00726308 0.010220502 0.006828165 0.010394468 0.012438568 0.008524333 0.010785892 0.011220806 0.008176401 0.010829383 0.006175793 0.006915148 0.012308094 0.00956813 0.0070456224 0.009524638 0.017048666 0.013308398 0.016048362 0.012960467 0.011307789 0.011873179 0.011394773 0.012134127 0.006175793 0.00813291 0.0064367414 0.008785282 0.007784978 0.008741791 0.008567825 0.00956813 0.0064367414 0.019310225 0.009133214 0.012047145 0.013699822 0.034314793 0.010263993 0.010046536 0.010655417 0.02004958 0.009220198 0.00813291 0.020397512 0.011351281 0.022050189 0.021832732 0.009698604 0.0074805375 0.02152829 0.015569956 0.026616797 0.01161223 0.0075675207 0.009655112 0.0069586397 0.00956813 0.0070456224 0.005610403 0.009220198 0.008002436 0.008002436 0.008654808 6.438689 0.0 2.0 0.0 7.0 847583.0 294912.0 0.0 0.0 161.0 0.0 1.0 0.0 0.0 0.0 927566600.0 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 208896.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208896.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.836754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8463411 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.567392 0.0 4.130775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208524.0 0.0 31728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -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 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 2.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 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 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 239696.0 31728.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 672.0 212992.0 0.0 0.0 0.0 0.0


Input: 0.035099853 0.004282594 0.003982796 0.0039995443 0.003811961 0.0040866365 0.003962698 0.0039677224 0.004567319 0.0037282186 0.0036377767 0.0038220102 0.004081612 0.003508813 0.003508813 0.0041385572 0.00348704 0.0033379782 0.0033815245 0.0035925556 0.003800237 0.0036829975 0.003688022 0.0036176783 0.0036528502 0.003384874 0.0035573838 0.0037231941 0.0036143288 0.0035289114 0.003701421 0.003622703 0.0036310772 0.0034451687 0.0033764997 0.0035573838 0.0036595496 0.0036143288 0.0036193533 0.003644476 0.003622703 0.0036695988 0.0035289114 0.0037215191 0.0036796478 0.003498764 0.0037533413 0.0039442745 0.0037298934 0.0034284203 0.0033932484 0.0037248689 0.0037265436 0.0036143288 0.0037298934 0.0037868384 0.0033965982 0.0037784642 0.003699746 0.0038320592 0.0038538324 0.0037315683 0.003758366 0.003734918 0.0040414156 0.0035942304 0.003510488 0.0037164947 0.0033798495 0.0043948092 0.004014618 0.0038186605 0.003610979 0.0034585674 0.003498764 0.0036160036 0.0035808317 0.0037918629 0.0036729486 0.0038890042 0.0041385572 0.0036679239 0.0035255617 0.0038035868 0.0035841814 0.003811961 0.0038605318 0.003790188 0.0036026046 0.00382536 0.003781814 0.0036930467 0.003609304 0.0036528502 0.0040095937 0.0037968874 0.003945949 0.0037550163 0.003508813 0.0037432923 0.0037081204 0.0037248689 0.003646151 0.003801912 0.0039409245 0.0035674328 0.003813636 0.003746642 0.003621028 0.0036310772 0.0038437834 0.003949299 0.003621028 0.0035021137 0.0039007282 0.0038705808 0.004254122 0.0043026926 0.0036428012 0.003813636 0.0039878204 0.0036294023 0.0037231941 0.0038320592 0.0040447656 0.003857182 0.003848808 0.00534445 0.004185453 0.0038605318 0.0035473346 0.0042993426 0.0034334448 0.0040280167 0.003498764 0.0035624083 0.0033764997 0.004130183 0.0035624083 0.0050295778 0.003565758 0.0038705808 0.0034903898 0.0037215191 0.003610979 0.0037030957 0.0036009299 0.0036310772 0.0034351195 0.003781814 0.0035054635 0.0037097952 0.0035707825 0.0034066471 0.003554034 0.003699746 0.0034769909 0.003520537 0.003632752 0.003768415 0.0038940287 0.003701421 0.0036846725 0.0037600407 0.0035238867 0.0037365928 0.0036595496 0.0037550163 0.003532261 0.003565758 0.0034903898 0.0035356106 0.0035607335 0.0036796478 0.003520537 0.0037432923 0.0035289114 0.0036829975 0.0036813228 0.0035825064 0.0037148197 0.003689697 0.0037767892 0.0036863473 0.0036428012 0.0036813228 0.0036243778 0.003688022 0.0037399426 0.003699746 0.003800237 0.003756691 0.004217275 0.0040866365 0.0037550163 0.003837084 0.0036528502 0.0039777714 0.0037081204 0.0037499915 0.0036260528 0.0035975801 0.0037952126 0.0035691077 0.003465267 0.0035808317 0.003734918 0.0039677224 0.0040112683 0.0037164947 0.0036679239 0.0037834886 0.0035289114 0.0036260528 0.0037265436 0.003689697 0.0038102863 0.0038320592 0.0036562 0.0038320592 0.003744967 0.0036628994 0.0036478257 0.003925851 0.003947624 0.0037767892 0.0036193533 0.003699746 0.0036495007 0.004048115 0.0038287097 0.0039074277 0.004297668 0.0038035868 0.003689697 0.004048115 0.0038320592 0.0037047707 0.0036160036 0.004148606 0.0044467296 0.0038421084 0.004146931 0.003957673 0.0038873295 0.0037734394 0.0039425995 0.0038421084 0.004004569 0.003992845 0.0037432923 0.00393925 0.004342889 0.0042691953 0.0041000354 0.010563286 0.008591065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016141806 9.228684e-06 5.033827e-06 7.550741e-06 5.8727987e-06 3.6075762e-05 7.550741e-06 4.194856e-06 5.033827e-06 1.6779425e-06 1.6779425e-06 1.6779425e-06 5.033827e-06 1.6779425e-06 1.6779425e-06 1.0067654e-05 0.0045723934 5.2855186e-05 4.110959e-05 3.6914735e-05 3.7753704e-05 0.00015520968 6.292284e-05 5.2855186e-05 2.3491195e-05 1.342354e-05 8.389712e-06 2.2652222e-05 2.0135309e-05 9.228684e-06 2.2652222e-05 2.2652222e-05 0.0029850595 4.3626504e-05 3.355885e-05 3.355885e-05 3.0202964e-05 0.00011745597 3.355885e-05 2.852502e-05 2.852502e-05 1.342354e-05 1.5101482e-05 1.342354e-05 1.8457367e-05 1.342354e-05 1.5101482e-05 1.342354e-05 0.0026377256 8.389712e-06 5.369416e-05 1.8457367e-05 0.00010403243 6.3761814e-05 0.00033474952 0.00018205676 5.033827e-06 3.355885e-06 3.355885e-06 5.033827e-06 1.6779425e-06 3.355885e-06 4.194856e-06 7.550741e-06 0.0012467112 1.8457367e-05 5.7889014e-05 2.0135309e-05 3.1880907e-05 6.208387e-05 0.00013255746 9.732066e-05 1.0906626e-05 5.033827e-06 5.8727987e-06 5.8727987e-06 6.71177e-06 5.033827e-06 5.8727987e-06 5.8727987e-06 0.0021972656 2.4330166e-05 2.5169136e-05 2.6008107e-05 0.00010571037 0.00012332876 0.00024330165 0.00020470898 0.0001308795 2.2652222e-05 2.0974281e-05 1.7618395e-05 1.5101482e-05 3.523679e-05 2.1813252e-05 0.00022232738 0.003320648 7.550741e-05 2.2652222e-05 7.466844e-05 0.00013843024 0.00019715824 6.460078e-05 0.00015940453 0.00021645457 5.2016214e-05 4.6143417e-05 5.2855186e-05 9.2286835e-05 7.047358e-05 0.00013507437 0.00043626502 0.00058224605 1.8457367e-05 1.8457367e-05 2.1813252e-05 2.0974281e-05 3.0202964e-05 3.439782e-05 0.00012836259 0.00013255746 6.0405928e-05 4.1948562e-05 4.5304445e-05 0.00013843024 0.00014598099 0.00019799721 0.0018188896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016980778 9.815963e-05 8.221918e-05 9.899861e-05 0.00012752363 0.00012836259 0.00013171848 0.00071228656 0.00024162371 0.0001342354 0.00015269277 0.00015856556 0.00020806486 0.0003297157 0.0005285519 0.002042056 0.0006090931 9.899861e-05 0.0001107442 0.00011997289 0.00010571037 0.00010319346 0.00010571037 0.00070893066 0.0002273612 9.1447866e-05 8.3897125e-05 0.00010822729 0.00014178613 0.0002156156 0.00041780766 0.0019061426 0.0035756954 0.0006971851 0.00054784823 0.0006208387 0.0016829763 0.0012710413 0.00046814594 0.0011703649 0.002395263 0.00016863321 0.0001543707 0.00021393766 0.00081548 0.0003355885 0.00082219177 0.00224257 0.0016158585 0.0004136128 0.00036327454 0.00041109588 0.0007643028 0.0010764 0.0003439782 0.0007726925 0.0012257369 0.0001308795 0.00014765894 0.00014681996 0.0005973475 0.00024581858 0.000523518 0.0015302835 0.058043383 0.055859543 0.056641463 0.057478756 0.05648877 0.05684282 0.057985496 0.05899394 0.05659616 0.056988798 0.057734642 0.05824474 0.058337025 0.058535863 0.05899142 0.060635805 2721.0 5.9717016 16249.0 0.010523724 0.008985168 0.009415964 0.009477506 0.008800542 0.009477506 0.008431288 0.009169795 0.009231337 0.00984676 0.009785217 0.007631239 0.008431288 0.008985168 0.013046957 0.010646809 0.009908302 0.008800542 0.008677457 0.008431288 0.010339098 0.009723675 0.009908302 0.010154471 0.008615915 0.009292879 0.009662133 0.008800542 0.010769893 0.008862084 0.00849283 0.01040064 0.009908302 0.010154471 0.007877408 0.010523724 0.01175457 0.011631485 0.012185365 0.01175457 0.009108253 0.009477506 0.009477506 0.011693027 0.009600591 0.010708352 0.008862084 0.010523724 0.01040064 0.009723675 0.009539048 0.00984676 0.010092929 0.009108253 0.009108253 0.010585267 0.008308204 0.010646809 0.00984676 0.010154471 0.008246661 0.008185119 0.009477506 0.010031386 0.010462183 0.013785464 0.008677457 0.010708352 0.011139147 0.016862577 0.0112622315 0.01175457 0.011385316 0.01286233 0.009662133 0.009108253 0.011446858 0.010339098 0.0125546185 0.013231584 0.010585267 0.009600591 0.014523971 0.014216259 0.014277802 0.01120069 0.009662133 0.011077605 0.011323774 0.010031386 0.012123823 0.009415964 0.009723675 0.008615915 0.007877408 0.029232569 6.5518837 0.0 0.0 0.0 9.0 597068.0 45056.0 0.0 0.0 38.0 0.0 1.0 0.0 0.0 0.0 1256409500.0 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 16384.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2405257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.403837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4922743 0.0 5.6211095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15227.0 0.0 11048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21228.0 11048.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.06373588 0.0051713195 0.0044795354 0.004361653 0.004884147 0.003919815 0.003850681 0.0040035737 0.004631099 0.0035138738 0.003477534 0.003520078 0.0039207013 0.0035364754 0.0033782646 0.0037296964 0.0038493515 0.0033685148 0.0033046987 0.00347975 0.0035852238 0.0035227372 0.0033428113 0.0033388226 0.00353293 0.0035626222 0.0033671854 0.003430115 0.003437206 0.0034633528 0.0033853552 0.0033995367 0.0066935993 0.003389787 0.003438092 0.0034097296 0.0037562863 0.0033144485 0.0034886133 0.0034744318 0.0034992492 0.0033911164 0.0034070704 0.0034841816 0.0036113707 0.0034425238 0.0036645506 0.0034305584 0.0036778457 0.003551543 0.003432331 0.004017755 0.0035550883 0.0034917155 0.0035710423 0.0036330859 0.0038311817 0.0037864216 0.0036924703 0.0039162696 0.0038223183 0.0037505252 0.0036791752 0.0037775584 0.0039893924 0.0047494243 0.0038471357 0.0038254205 0.003818773 0.0046678814 0.0038918955 0.0036915839 0.0037726834 0.0037460935 0.003554202 0.003670755 0.0036610053 0.003993824 0.0036743004 0.0033592083 0.0039034178 0.0034336606 0.0033286298 0.003551543 0.003456262 0.0036459377 0.0036645506 0.0036211202 0.0033069146 0.0035400207 0.0033033693 0.0032940628 0.003389787 0.00343499 0.00347975 0.0034013093 0.0032851994 0.004621349 0.0033569925 0.0037704676 0.00396945 0.0050729364 0.0037084243 0.0034921586 0.0037115265 0.0040354817 0.0035608495 0.0033778215 0.0039995853 0.0035932008 0.004411731 0.004570828 0.003850681 0.0032320195 0.0044188215 0.0042229416 0.0050733797 0.0045247385 0.0034048546 0.0036477104 0.0032962786 0.003625552 0.003234235 0.00328387 0.003257723 0.0034894997 0.003406184 0.0034088432 0.0035183055 0.003456262 0.0033787077 0.003975211 0.0035205213 0.0036995609 0.0033534472 0.0033680717 0.0034123885 0.0041600117 0.0034013093 0.005477548 0.0033499019 0.004189704 0.0032781088 0.003403525 0.003461137 0.0033813668 0.0033751624 0.0033627537 0.0033459135 0.0033574358 0.0033649695 0.003334391 0.0035342595 0.0036552441 0.004075367 0.0036920272 0.0036344153 0.0036689823 0.003681391 0.0035298278 0.003567054 0.0034815227 0.0033512313 0.0033428113 0.0034008662 0.0033224255 0.0032953923 0.0031894753 0.0031846005 0.0031961228 0.003188589 0.0032501891 0.0032546208 0.0031770666 0.0031110346 0.0031323067 0.0032590525 0.003183271 0.0031216708 0.0032293603 0.0031571242 0.0031797257 0.003209418 0.003161999 0.0034154907 0.0031473744 0.0031717487 0.003170419 0.00321252 0.0031535788 0.0031247728 0.0032386668 0.0037172877 0.0034318878 0.0034199224 0.003527612 0.0032847563 0.0031309773 0.0034318878 0.0034194791 0.0034336606 0.003583451 0.003257723 0.0032430985 0.0033015967 0.0031602262 0.0031668737 0.0031921342 0.003260382 0.0031424996 0.0032329056 0.0031535788 0.0031823847 0.0031154663 0.0030977398 0.0033445838 0.0035869963 0.0038342837 0.0035453388 0.0034075137 0.0033202097 0.0032244856 0.00325728 0.0031584536 0.0034185927 0.0031996681 0.0031057168 0.0031584536 0.003315778 0.003138511 0.0031376248 0.0031526925 0.0045996336 0.0036082685 0.0034256836 0.0034660117 0.0034646823 0.0032116338 0.0032067588 0.0032280309 0.003471773 0.0032196108 0.0032537347 0.003217838 0.0033671854 0.003167317 0.0033179938 0.0033117896 0.0035573042 0.0032528483 0.0032528483 0.0033609811 0.0039738817 0.0039690067 0.0042920755 0.031479947 0.004531126 0.0 0.0 0.0 0.0 0.0 5.100122e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.100122e-06 0.0012444297 6.652333e-07 2.2174444e-07 3.547911e-06 0.0 0.0 1.4413388e-05 8.869778e-07 2.2174444e-07 2.2174444e-07 0.0 0.0 0.0 0.0 2.2174444e-07 9.756755e-05 0.0007827579 1.1087221e-06 0.0 2.2174443e-06 2.2174444e-07 0.0 0.0 5.5436108e-06 1.3304666e-06 0.0 0.0 0.0 2.2174444e-07 0.0 2.2174444e-07 0.00011464187 0.0011136006 8.869778e-07 0.0 3.9914e-06 2.2174444e-07 0.0 0.0 2.7274566e-05 1.5522111e-06 0.0 0.0 0.0 2.2174444e-07 0.0 4.434889e-07 0.00021420512 0.0003228599 0.0 0.0 2.2174444e-07 0.0 0.0 0.0 1.0865478e-05 4.434889e-07 0.0 0.0 0.0 2.2174444e-07 0.0 2.2174444e-07 0.00011929851 0.00060403184 1.3526411e-05 0.00019934824 4.6566333e-06 5.100122e-06 3.3261665e-06 2.0178744e-05 1.2195944e-05 1.4413388e-05 3.3261665e-06 4.8783777e-06 3.547911e-06 2.8826778e-06 3.3261665e-06 1.0421989e-05 3.1044221e-06 0.00070758647 1.59656e-05 9.756755e-06 6.2088443e-06 2.8161543e-05 7.539311e-06 7.3175665e-06 8.648033e-06 2.39484e-05 6.4305887e-06 1.5522111e-05 1.26394325e-05 6.652333e-06 6.8740774e-06 2.8161543e-05 1.6852577e-05 0.019195085 0.00016741705 0.0030649516 0.00013260318 0.00058252265 0.00023327515 0.008420523 0.004627363 2.2396189e-05 2.1065722e-05 2.1730955e-05 3.9248764e-05 1.8848277e-05 4.0135743e-05 1.0200244e-05 0.00018737405 0.0036448133 0.00015743855 0.0001915872 8.115846e-05 0.00034614306 8.138021e-05 0.00025034946 0.00016542136 0.00020023523 0.000100228484 2.7274566e-05 1.751781e-05 6.7188565e-05 6.253193e-05 4.7453308e-05 0.0004630024 0.0012690434 3.547911e-05 3.547911e-05 6.297542e-05 0.00010200244 5.5214365e-05 0.00018870452 0.000115307106 5.055773e-05 7.761055e-05 2.2617933e-05 2.3726654e-05 2.1287466e-05 5.9427508e-05 3.348341e-05 0.0001177463 0.003331045 0.00042242315 0.0005541394 0.00063618476 0.00032374688 0.00013127271 0.00053861726 0.0005168863 0.00017163019 0.00020378314 0.00022573584 1.79613e-05 4.1687956e-05 6.807554e-05 0.0001277248 0.0022258707 0.014021123 0.0018123173 0.0022196618 0.004110033 0.003278048 0.0018016736 0.00087345135 0.0009426356 0.0015575329 0.0021722084 0.0014848007 0.00027629358 0.00022928375 0.0007945103 0.0005840748 0.012434541 0.006099746 0.0008860908 0.0010796736 0.0014364604 0.0012599519 0.00093376584 0.0012566258 0.000549261 0.000825998 0.0017437983 0.0005605699 0.0004987032 0.00046233716 0.0008803254 0.00057143543 0.0050242855 0.011103409 0.0017881471 0.0017431331 0.002217666 0.004735574 0.0023367428 0.0010286724 0.001870636 0.0043716915 0.0023347472 0.0011439796 0.0012530778 0.0025848749 0.0017220672 0.0025562698 0.008526295 0.0067173042 0.0016023254 0.001224251 0.0019615514 0.0024932944 0.0018249567 0.0012965397 0.001911437 0.0030536426 0.0014515391 0.00088986044 0.00086923817 0.0018894844 0.0011078352 0.0019101066 0.005218977 0.049240127 0.048470896 0.048577555 0.04852589 0.04876626 0.0483598 0.048625674 0.04861924 0.048653614 0.048365567 0.048060447 0.04814737 0.048398383 0.0481334 0.047980174 0.048734106 8699.0 6.5940914 57362.0 0.015916461 0.008960636 0.010355287 0.009047802 0.009448764 0.009727694 0.008978069 0.010494753 0.009274432 0.008542241 0.008908337 0.0094313305 0.009047802 0.009187267 0.011017747 0.010111224 0.011959136 0.010930581 0.009797427 0.0111049125 0.00981486 0.010407587 0.01098288 0.010948014 0.011383843 0.011209511 0.0111049125 0.010773683 0.011784805 0.011017747 0.0109131485 0.011017747 0.01042502 0.013074858 0.010233255 0.012116035 0.011505875 0.009919459 0.0094313305 0.010006624 0.009169834 0.010686517 0.0090826675 0.008978069 0.009710262 0.009675395 0.010547052 0.009012936 0.011052613 0.0085771065 0.009222133 0.010721384 0.0094313305 0.009379031 0.009570796 0.009971758 0.008664273 0.008542241 0.008629406 0.008524807 0.009169834 0.008681705 0.008960636 0.008228444 0.0085771065 0.013371222 0.009692828 0.011732506 0.010390154 0.018391967 0.009762561 0.009954325 0.010564486 0.013754751 0.011819672 0.009222133 0.013127157 0.011139779 0.014486942 0.013318922 0.010895715 0.00859454 0.013911649 0.012447265 0.01757261 0.011924271 0.00887347 0.009553363 0.0092047 0.009710262 0.008856037 0.0090826675 0.0090826675 0.00887347 0.009065235 0.008542241 6.5639296 0.0 10.0 0.0 32.0 2256484.0 573440.0 0.0 0.0 141.0 0.0 1.0 0.0 0.0 0.0 1239828200.0 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 98816.0 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 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98816.0 0.0 410624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.755531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0904636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.551298 0.0 5.8537498 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20674.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98693.0 0.0 410400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 123940.0 410400.0 159744.0 0.0 0.0 5704.0 2250784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113512.0 0.0 0.0 588.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.25558794 0.010139698 0.007719809 0.007458289 0.00911679 0.007848914 0.007594015 0.006355932 0.009514036 0.0060480665 0.006061308 0.0063757943 0.007928363 0.006398967 0.0063393805 0.008603681 0.008186573 0.0059388243 0.0057335803 0.006197034 0.0066439356 0.0069915256 0.0064122085 0.0058130296 0.00685911 0.0058395127 0.006382415 0.0055846134 0.006206965 0.0056872354 0.0056276484 0.006528072 0.009702728 0.0056442004 0.0055680615 0.0058957892 0.007160355 0.0061937235 0.0054720603 0.005955376 0.005885858 0.0057368907 0.005521716 0.0061771716 0.005928893 0.008891684 0.0060182735 0.005581303 0.0073126326 0.0073655983 0.0062268274 0.00816009 0.0065313824 0.006693591 0.0067564882 0.006137447 0.006475106 0.006806144 0.0058891685 0.0075211865 0.006779661 0.0066240733 0.0062533105 0.006693591 0.0030952066 0.0068094544 0.0005660752 0.0018107786 0.0022709216 0.003863215 0.0011818061 0.0008904926 0.00096001057 0.00164857 0.00035421082 0.0053859903 0.0006951801 0.0016419492 0.0015691208 0.00048000528 0.0026449948 0.0008110434 0.000503178 0.0015625 0.0008110434 0.0024629238 0.002108713 0.0014002913 0.0006951801 0.0019266419 0.00030455508 0.0006057998 0.0004965572 0.0017346399 0.0010030456 0.0010295286 0.00066869706 0.0028701006 0.0009103549 0.0021815414 0.00199616 0.004329979 0.0073126326 0.0007845604 0.0016651219 0.0024430614 0.0021418168 0.00078125 0.0019829185 0.0014996028 0.002151748 0.0032872087 0.0016518803 0.00045021187 0.0029296875 0.002300715 0.006630694 0.0053495765 0.0013638771 0.00077131885 0.0014830509 0.0011751854 0.00068193855 0.0006653867 0.00077131885 0.0015625 0.007603946 0.01631687 0.014625265 0.010043697 0.00026152012 0.0045252913 0.001075874 0.0054555084 0.00057931675 0.00054621295 0.0016551907 0.0044756355 0.0006620763 0.009666313 0.00057600637 0.002856859 0.00038069385 0.0002979343 0.0011420816 0.00016551907 0.00017876059 0.0001953125 0.0011023569 0.0006024894 0.00084083684 0.00023172669 0.00054290256 0.00031448624 0.0015956038 0.00027476164 0.00051972986 0.0008573888 0.00013903601 0.00012910487 0.00078125 0.00047007416 0.00020855402 0.000529661 0.00046345338 0.00030455508 0.00019862287 0.0005892479 0.0019465042 0.00020193326 0.0052568857 0.00017876059 0.00059255824 0.0012049788 0.0002813824 0.00020193326 0.0009434587 0.00013241525 0.00018869173 0.00017876059 0.00045021187 0.00030455508 0.0004270392 0.000390625 0.0013903602 0.00023172669 0.0008176642 0.00027145128 0.00048000528 0.00057931675 0.0017743644 0.0002979343 0.0028336865 0.0015691208 0.00080111227 0.0019332627 0.00112884 0.00027476164 0.0009732521 0.0021716102 0.001145392 0.0015360169 0.00031448624 0.0002813824 0.0015757416 0.00022841632 0.0004270392 0.0003939354 0.0009037341 0.0007481462 0.00046676377 0.0004270392 0.00054290256 7.282839e-05 0.00080111227 0.00047338454 0.00092690677 0.00046676377 0.00025820974 0.00054621295 0.0021418168 0.0017346399 0.0006653867 0.00021848518 0.0016386388 0.00036083156 0.00023503708 0.00036745233 0.0013539459 0.00096001057 0.0007613877 0.0006190413 0.0049755033 0.0011321504 0.00095007947 0.00199616 0.00234375 0.00015227754 0.0013175318 0.00025820974 0.0015989142 0.000824285 0.00039724575 0.00043697035 0.0017213983 0.0009070445 0.0034096928 0.0008209746 0.0016684321 0.0007547669 0.00038400423 0.00096663134 0.002214645 0.0010427701 0.0013506355 0.0229906 0.12235265 1.6608205e-06 1.6608205e-06 0.0 6.643282e-06 0.0 5.64679e-05 2.3251489e-05 3.321641e-06 0.0 0.0 0.0 1.6608205e-06 1.6608205e-06 0.0 0.0 0.0064772004 1.6608205e-06 1.1625744e-05 0.0 6.643282e-06 0.0 0.00020594175 9.3005954e-05 3.321641e-06 0.0 0.0 0.0 1.6608205e-06 1.6608205e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00989849 0.00021922831 0.00018269026 1.1625744e-05 0.0003321641 9.466677e-05 0.00017106452 0.0010679077 0.0009782233 4.6502977e-05 3.653805e-05 4.982462e-05 2.1590668e-05 2.823395e-05 2.1590668e-05 0.00044509993 0.029956222 0.0006095212 0.0013867852 0.0004583865 0.0004035794 0.00030226936 0.004814719 0.014191712 0.011989464 1.8269026e-05 0.0001212399 7.9719386e-05 3.8198872e-05 3.653805e-05 4.3181335e-05 0.00017604697 0.09813291 0.085133664 0.08513865 0.08549074 0.00096327596 0.00033548576 0.0016790896 0.0035691033 0.0027071375 1.9929847e-05 2.491231e-05 2.989477e-05 5.978954e-05 3.8198872e-05 0.00011127498 0.00051153277 0.014615221 0.0006610066 0.001463183 0.0006859189 0.0011160715 0.00045008239 0.0044593033 0.00421018 0.001554528 0.0001461522 8.470185e-05 6.4772e-05 0.00013120483 8.138021e-05 0.00012290072 0.0007656383 0.016491948 0.0013203523 0.001750505 0.0013668553 0.0024696402 0.0007207961 0.0058743223 0.0042533614 0.0014598613 0.00022254996 0.0002923044 0.00022088914 0.00027237457 0.00021922831 0.00019929848 0.00028067868 0.009416853 0.00060786033 0.0023317921 0.00076231663 0.0016093352 0.00061118195 0.004132122 0.003927841 0.0015312766 0.00048662044 0.00019265519 0.00021922831 0.00031721673 0.0003471115 0.00027237457 0.00044509993 0.011431428 0.00086694834 0.0014548788 0.008207776 0.0018501541 0.0010562818 0.0023151839 0.0023018974 0.0016840721 0.0010346912 0.0007971939 0.0006194861 0.0008387144 0.000777264 0.000953311 0.0012256856 0.0040391157 0.0009134513 0.0005779656 0.00056800066 0.0032004013 0.0017006802 0.0025526811 0.00076895993 0.0030409624 0.0016276041 0.0027071375 0.0007988547 0.0008088196 0.0011841651 0.0012256856 0.0048977598 0.019679064 0.003768402 0.002738693 0.003240261 0.0061865565 0.0055654095 0.0036355362 0.0058012465 0.014153513 0.0015080251 0.0023567043 0.0016325866 0.00576803 0.002066061 0.0059623457 0.014577022 0.02499535 0.005528872 0.0037634193 0.0059125214 0.012786658 0.009036525 0.0056019477 0.009730748 0.017827248 0.002619114 0.004950906 0.0036604486 0.009043168 0.0047266954 0.009041507 0.017033376 0.0011243755 0.0012688669 0.00078556815 0.0011343404 0.0023201664 0.00019763765 0.0015312766 0.0018783881 0.0008868782 0.001082855 0.0018318851 0.001471487 0.00030559098 0.001888353 0.0014781303 0.0012223639 2488.0 8.560691 21299.0 0.029907508 0.01417907 0.014930278 0.014695525 0.014742476 0.014460773 0.013193107 0.016479647 0.014883328 0.014695525 0.014507723 0.015728438 0.016338795 0.03666839 0.018592423 0.014789427 0.018216819 0.018169867 0.01845157 0.017043054 0.017794263 0.019953988 0.017371707 0.016057093 0.017418658 0.016949153 0.015493685 0.017465608 0.019625334 0.018592423 0.018169867 0.019578384 0.003098737 0.0027231325 0.0007981595 0.0032865393 0.003098737 0.002253627 0.0021597259 0.0029578854 0.003098737 0.016291846 0.00032865393 0.0010798629 0.0026292314 0.001502418 0.015728438 0.0007981595 0.0054932158 0.0007981595 0.0009859618 0.0058218697 0.0037090944 0.001173764 0.0023944785 0.0035682425 0.0020658246 0.00061035727 0.00061035727 0.0007981595 0.0013146157 0.00065730786 0.00056340673 0.005164562 0.003427391 0.017700361 0.0036151933 0.0125358 0.012019344 0.033569653 0.004084699 0.0042255507 0.004037748 0.014789427 0.0017841213 0.0022066764 0.014554674 0.0060566226 0.015446735 0.024367342 0.007699892 0.0017841213 0.022207616 0.014413822 0.02680877 0.008028546 0.005962721 0.0014554674 0.0031456875 0.004413353 0.0009390112 0.005774919 0.0016432697 0.00042255505 0.013568712 0.044603035 6.029907 0.0 0.0 0.0 3.0 302080.0 327680.0 0.0 0.0 101.0 1.0 1.0 0.0 0.0 0.0 1516975200.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 71680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71680.0 0.0 46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.525838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7620115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1400733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.775883 0.0 4.889439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -161184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71226.0 0.0 45728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 103148.0 45728.0 270336.0 0.0 0.0 0.0 0.0 4904.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 100320.0 0.0 0.0 428.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.14293359 0.00866045 0.0042004804 0.0034357358 0.0062626703 0.003962199 0.0020359918 0.0019673768 0.007910676 0.0015157658 0.0017078876 0.0015107756 0.004589714 0.0013772885 0.0012350684 0.0039035648 0.0061853225 0.0015107756 0.0011914044 0.00089947914 0.0024801174 0.0019898326 0.0007709821 0.0008296167 0.0023166891 0.0007585067 0.0008346069 0.00071484264 0.0016243021 0.00060755387 0.0005975735 0.00056888 0.00390606 0.00059008825 0.0006562081 0.00054642424 0.0041817673 0.0013261392 0.00046782897 0.00056513736 0.0011914044 0.00065745565 0.0005875932 0.0009493809 0.0011128092 0.002357858 0.00068115897 0.00052147335 0.005514144 0.0026298226 0.0030589777 0.010081402 0.0032211584 0.0018463649 0.0026023765 0.0015095281 0.003720176 0.0019062471 0.00071983284 0.0014933101 0.001679194 0.0009830646 0.0004690765 0.00053270126 0.0118628945 0.0039584567 0.004939026 0.008894988 0.0038985747 0.032810405 0.0032935159 0.0027296261 0.0034095375 0.0035754608 0.0022056575 0.0023728285 0.0027308736 0.0044212956 0.0011689486 0.0015432118 0.009129526 0.0021607461 0.0020721704 0.009831893 0.0032298912 0.013945046 0.0032473567 0.0021120918 0.0019411783 0.006564576 0.0027633097 0.003284783 0.001578143 0.0046732994 0.0023965319 0.003632848 0.005809812 0.004431276 0.0017390762 0.0032423665 0.0092480425 0.0061691045 0.0039509716 0.001550697 0.007874497 0.004236659 0.0037189284 0.0013747934 0.0034294983 0.0017403237 0.0043863645 0.004032062 0.0030789382 0.0016991547 0.0049240557 0.0038561581 0.010202414 0.005569036 0.001747809 0.0011003338 0.0027483392 0.0012737423 0.00053519633 0.00059507845 0.0016667186 0.0025387518 0.0010716402 0.0008820135 0.0052870912 0.0011677011 0.0010978386 0.009138259 0.0031475532 0.0032535945 0.0010429467 0.0006237719 0.0026847145 0.015314849 0.0022518167 0.052157316 0.001206375 0.011091913 0.0008645479 0.0006861492 0.0026784767 0.00044786825 0.0007335558 0.00065121794 0.0011327699 0.0009443907 0.0015244987 0.00057262264 0.0011839191 0.0005938309 0.00050400774 0.0007185853 0.0009643514 0.0004803044 0.0004690765 0.0004229174 0.00090446934 0.0033571406 0.00047032404 0.0025724354 0.001435923 0.00082462654 0.00056888 0.00045660106 0.0010554221 0.00046159123 0.0005139881 0.0004915323 0.00085456757 0.000454106 0.00074852636 0.00066369335 0.0013361195 0.0006911393 0.0017453139 0.00054143404 0.00088575616 0.00067616877 0.0007185853 0.0015931135 0.0031774943 0.0025562174 0.004690765 0.00083086424 0.001009263 0.00048404702 0.0008608053 0.00072108035 0.012099928 0.0011589683 0.0023067086 0.0104382 0.004395097 0.0010678975 0.0035879363 0.003397062 0.0018862864 0.0017802451 0.0009917974 0.0013136637 0.0016966597 0.0009007267 0.0010005302 0.0009506284 0.002899292 0.0011602158 0.003000343 0.0013648131 0.0018288994 0.00077472476 0.0016180645 0.0008832611 0.003397062 0.0006599507 0.0010953435 0.0018027009 0.0015095281 0.000724823 0.0005676325 0.00084957737 0.0024601566 0.00066369335 0.00088575616 0.0009992827 0.0024539188 0.0024526713 0.000555157 0.00069987215 0.027847676 0.0060780337 0.0011028288 0.0059507843 0.006589527 0.0010516795 0.0006861492 0.0007610018 0.007305617 0.0009855597 0.001832642 0.0009269251 0.009216854 0.0021894395 0.004131865 0.0026160995 0.010155007 0.003080186 0.0031001465 0.0036440757 0.015017933 0.0040308144 0.004338958 0.06953186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017918234 0.0 0.0 0.00052204204 0.00024695403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009661216 0.0 0.0 0.0041450765 0.0028390335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062895124 0.0 0.0 0.00037449485 0.00027696363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055580284 3.7512004e-06 1.8130802e-05 6.752161e-05 0.00015004801 7.627441e-05 6.2520007e-06 7.502401e-06 1.5630001e-05 0.0 0.0 1.8756002e-06 8.127601e-06 3.1260004e-06 5.0016006e-06 0.00036136564 0.006146342 0.00020756642 0.00021506882 0.0005551777 0.0019262414 0.00049203244 0.0024670395 0.0010734685 0.00019631282 0.00010128241 9.315481e-05 7.564921e-05 0.00067709165 0.00038324765 0.00040387924 0.002912182 0.013431173 0.00064645684 0.0009534301 0.0020981715 0.004162582 0.003638039 0.007022872 0.0032354104 0.00045764644 0.00023757602 0.00031322523 0.00033323164 0.0020994218 0.0011134814 0.001130987 0.009062275 0.020939825 0.0013135454 0.001243523 0.0020950455 0.00737611 0.0025820762 0.006745909 0.0032829256 0.0024113967 0.0009828145 0.0009846902 0.0013466809 0.0040913094 0.00267148 0.0026958627 0.009659341 0.020390274 0.0015748789 0.0012616537 0.0022863566 0.009505542 0.0040775547 0.005934399 0.0034360995 0.0058600004 0.0014254561 0.001793699 0.0023244938 0.0038949964 0.001787447 0.0040788054 0.009753746 0.07466702 0.009903794 0.0073448503 0.010170129 0.04243358 0.03087363 0.021492502 0.014075754 0.051929116 0.005337958 0.0061088298 0.009223577 0.016936045 0.0071360334 0.02768386 0.06161034 0.06079133 0.01021952 0.009199194 0.011775018 0.028369078 0.030877382 0.01782758 0.014739716 0.05026171 0.005937525 0.006540218 0.009231704 0.021286186 0.011034781 0.025305597 0.048959415 0.00023570043 4.8140406e-05 8.690281e-05 5.2516807e-05 9.127921e-05 0.00010003201 4.3764005e-05 6.6271205e-05 0.00013566841 2.9384402e-05 3.3760803e-05 2.9384402e-05 8.502721e-05 6.0644405e-05 7.3773605e-05 0.00010815961 5347.0 15.242753 81503.0 0.00574212 0.00013496436 0.0005889354 9.81559e-05 0.0035336122 0.00060120487 0.00013496436 0.0001840423 0.00041716255 0.00042943205 0.00077297766 0.00061347435 0.00052758795 0.015030121 0.0011901403 0.00049077946 0.024244506 0.01676012 0.025066562 0.01170509 0.02080905 0.013852251 0.021496141 0.010404525 0.024170889 0.013901329 0.0008711336 0.0005398574 0.0010060979 0.0005643964 0.00012269487 0.00014723385 0.00143553 0.008993534 0.0078033935 0.01530005 0.0075211953 0.017005509 0.0049814116 0.0032391446 0.005189993 0.018551465 0.0025888619 0.004208434 0.0071899192 0.0070304163 0.0046746745 0.009717434 0.013606861 0.0027606345 0.0063065165 0.021582028 0.013778634 0.006600984 0.00622063 0.0036808462 0.0029324074 0.005643964 0.0016073028 0.0031532582 0.0012269487 0.002944677 0.0030673717 0.023397911 0.0002699287 0.03201109 0.013226507 0.027643153 0.02630578 0.05527404 0.011594665 0.010416795 0.019054513 0.035949595 0.007558004 0.006797296 0.023962308 0.012146792 0.03875931 0.035287045 0.018355154 0.002564323 0.040243916 0.029495846 0.042415615 0.011116155 0.010453603 0.005791198 0.013263316 0.0070426855 0.0011042538 0.00030673717 0.0005766659 0.0002699287 0.00031900665 0.00033127615 5.775985 0.0 2.0 14.0 4.0 801575.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.573566 0.0 0.0 0.0 0.0 0.0 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 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056420304 0.0082754865 0.0061561046 0.005641721 0.0057551125 0.0049624057 0.004200624 0.0054200934 0.005051057 0.005621105 0.0037470595 0.0044573 0.0049448814 0.0031770116 0.0043274155 0.004636664 0.005032502 0.0037645837 0.004923234 0.004157329 0.004355248 0.0031862892 0.004107849 0.0038439573 0.0050768275 0.0033450366 0.0031667035 0.0029399213 0.0041542365 0.0034429652 0.0037882926 0.0037934468 0.006159197 0.0038192174 0.0034893525 0.003024449 0.0048799394 0.0041666063 0.0038388032 0.003725412 0.0047284076 0.0038975605 0.0033264817 0.0031058847 0.0043634945 0.0037212889 0.0037171654 0.003595528 0.005509775 0.0039563174 0.0031027922 0.0029028114 0.003679025 0.0030759906 0.0026935535 0.0028718866 0.0041738222 0.0033089577 0.003528524 0.0033574067 0.0039934274 0.0032316456 0.0035068768 0.003456366 0.0065808054 0.003948071 0.0036233603 0.0032316456 0.0041532055 0.0032182448 0.003547079 0.0030770213 0.004994361 0.0037769536 0.0037068573 0.0035780037 0.0041171266 0.0031244394 0.0035512024 0.003457397 0.0051500164 0.0036336684 0.0036553158 0.0033336976 0.003919208 0.003384208 0.0033687458 0.0035316164 0.0046356334 0.0036408843 0.0038016934 0.0035058458 0.0041119726 0.0033976089 0.003702734 0.0037893236 0.0059056133 0.0036264528 0.0033398825 0.002947137 0.0040109516 0.0030584666 0.0032677245 0.0030357882 0.0049685906 0.0031677342 0.0032099981 0.0030594973 0.0035914045 0.0028430235 0.0031017612 0.003198659 0.0045016254 0.0032862795 0.0032264914 0.0031491793 0.0038985913 0.0033460674 0.0032945261 0.0036171752 0.0046119243 0.0032934952 0.0034707978 0.0031553644 0.004037753 0.0031893817 0.0034738902 0.0033388517 0.008623906 0.004589246 0.0040109516 0.0035305857 0.0043707103 0.0034398728 0.0030172335 0.003391424 0.004534612 0.0038254026 0.0029667227 0.0032027825 0.0037336587 0.002802821 0.0028523009 0.002978062 0.0052314517 0.0032038132 0.0034945067 0.00303785 0.0036573776 0.0031759809 0.0033161736 0.0032697862 0.004559352 0.0028471467 0.0030574356 0.0027090157 0.0035171849 0.0032326765 0.0029976477 0.0031553644 0.0050057005 0.003409979 0.0032780329 0.0028007596 0.0037759228 0.0030265108 0.0030656822 0.0031955666 0.0041367128 0.003001771 0.0031295936 0.0030213566 0.003641915 0.0028481777 0.0029151815 0.003043004 0.0046634655 0.0031244394 0.0038377724 0.0028533319 0.0035625414 0.0031584569 0.0029966168 0.003127532 0.0042490726 0.0031543334 0.003344006 0.0031883507 0.0036625317 0.0031965973 0.0033378208 0.0033574067 0.0067117205 0.0040707397 0.0037315972 0.003342975 0.0041068187 0.0032543237 0.0032986493 0.0032213372 0.00433257 0.0033388517 0.0031192855 0.003067744 0.0036388226 0.0029924936 0.0030780523 0.002802821 0.00425835 0.0032697862 0.003103823 0.0030089868 0.0037120115 0.0030347575 0.002940952 0.0029522912 0.0039820885 0.003122378 0.0027358173 0.0026399503 0.0035388323 0.0029625995 0.0035841886 0.0028832257 0.0049531283 0.0032450464 0.0033934857 0.0029801235 0.0038243716 0.0030759906 0.00319969 0.0029162122 0.0044377143 0.0054489565 0.0034759517 0.0031429944 0.0037944776 0.0030811448 0.0032481388 0.0031935049 0.004617078 0.0033285434 0.0034244105 0.0030471273 0.0037398438 0.0030904221 0.0033141118 0.0032388614 0.0043531866 0.0030306343 0.0031914434 0.0028615783 0.0040088897 0.0030955763 0.004218148 0.00449441 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-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 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-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 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.004562281 0.00029162675 0.0002699483 0.00026943214 0.00029833676 0.00023949525 0.00033033825 0.00030607905 0.00032982213 0.00034943596 0.0003267252 0.0003499521 0.00051873433 0.00015278145 0.0001832345 0.0007355188 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.09900909 0.062031332 0.062444255 0.055357985 0.06057836 0.05956257 0.055013195 0.05447278 0.060475647 0.05324227 0.05219448 0.05303271 0.056419194 0.050650146 0.056705143 0.053842556 4032.0 5.7041173 22999.0 0.01717466 0.010435237 0.009435193 0.008739511 0.013522327 0.012522284 0.011826601 0.01152224 0.012565764 0.009739554 0.00843515 0.0086090695 0.013826688 0.010522197 0.0117396405 0.009869995 0.016783338 0.011913561 0.00865255 0.007522066 0.009783034 0.008478629 0.007826427 0.008348189 0.010261316 0.008478629 0.009565634 0.008869951 0.01152224 0.009000392 0.009739554 0.009261272 0.018000783 0.010913518 0.010348276 0.009043871 0.010783077 0.008913431 0.010696117 0.008261229 0.014174529 0.011565721 0.009739554 0.008956911 0.0113918 0.009348232 0.0116092 0.009565634 0.014739771 0.009609113 0.009913474 0.0091743115 0.012087482 0.009391713 0.009739554 0.009826514 0.013696248 0.009261272 0.010478716 0.009565634 0.011087439 0.009783034 0.010391756 0.010652637 0.017913822 0.010956998 0.009696074 0.0081742685 0.013044045 0.008261229 0.009348232 0.008391669 0.015478934 0.009261272 0.008913431 0.00869603 0.0113048395 0.007956868 0.009913474 0.007869908 0.013174485 0.008043828 0.00869603 0.008956911 0.01143528 0.009478673 0.008261229 0.008000348 0.011000479 0.009000392 0.011913561 0.0086090695 0.011261359 0.009087352 0.010000435 0.00869603 6.554906 0.0 0.0 0.0 14.0 970094.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0