Input: 0.0068542287 0.0038799015 0.0038517662 0.0038470929 0.0038930632 0.003835362 0.0038155243 0.003889439 0.0038456623 0.0037901548 0.0037875797 0.003873893 0.003876182 0.0038078942 0.0038241078 0.0040046503 0.0038049377 0.0037971172 0.0038128537 0.0038270643 0.0038188624 0.0038581563 0.0038597777 0.0039080367 0.0037954003 0.0037804267 0.0038345035 0.0039122333 0.0038321193 0.0038631158 0.003865691 0.0039605875 0.0038066544 0.003748381 0.003794065 0.0038275414 0.0038316424 0.0038459485 0.003778996 0.0038544368 0.0037459014 0.0037976892 0.0038220095 0.0038431827 0.0038286857 0.00393188 0.0038619712 0.003948094 0.0037862444 0.0037635455 0.003761638 0.003915285 0.0037946373 0.003853483 0.0038526247 0.0038942075 0.0038050332 0.003860922 0.0038487143 0.003993015 0.0038666446 0.003897355 0.0038916324 0.003996639 0.0038025533 0.0039560096 0.0038437548 0.003872081 0.0038179085 0.0039548655 0.0038905833 0.0038587286 0.003773655 0.0038469022 0.0038114232 0.0038615898 0.0038189576 0.003882572 0.0039036495 0.0039012653 0.0038508126 0.0038449946 0.0038210559 0.0038866731 0.0038234403 0.003931308 0.003911184 0.0039345506 0.0038079896 0.0039051755 0.0038756097 0.0039308313 0.0038540552 0.0039717467 0.0039972113 0.004016763 0.0037973078 0.0038332636 0.0037556295 0.0038377463 0.0038144751 0.0039440882 0.003899167 0.0039151898 0.0038249663 0.0039089904 0.003875228 0.0039342646 0.0039021235 0.003951146 0.0039383657 0.0040407972 0.003818004 0.003875991 0.003936935 0.003970125 0.004029543 0.0040719844 0.0038929677 0.0040047457 0.0038963058 0.003868075 0.003913664 0.0039727003 0.003910135 0.003961446 0.004013997 0.004063019 0.0039408454 0.0038293535 0.0038035072 0.0040222947 0.003795877 0.003952862 0.0038089433 0.003873607 0.003803793 0.00397518 0.003799692 0.0043278723 0.0038083713 0.003983382 0.003828495 0.003913664 0.0038020764 0.0038235355 0.0037993107 0.0038446132 0.003839463 0.0038378416 0.003804747 0.003923583 0.0038092295 0.0038295442 0.0038276366 0.0038666446 0.0038789478 0.003965833 0.0039026958 0.003957631 0.0037913946 0.0038114232 0.003806082 0.0038505264 0.0038427056 0.0038151427 0.0038445177 0.0038923954 0.0037912992 0.0038436595 0.0038548182 0.0038549136 0.0038346944 0.0038712225 0.0038476652 0.0039931103 0.003814952 0.0038306885 0.0038263013 0.003910135 0.0038377463 0.0038725578 0.003951527 0.003992347 0.003876182 0.0038745606 0.003920531 0.003991203 0.0039184326 0.003976515 0.0039668824 0.0040554847 0.003941322 0.0038819998 0.00385148 0.0039604926 0.0038701734 0.003820579 0.0038635926 0.0039499057 0.0038301165 0.003897641 0.0038318331 0.0038982132 0.0039575356 0.0038566303 0.003910803 0.00395477 0.003833073 0.003869029 0.003892586 0.0039011699 0.0038650231 0.0038803783 0.0038655954 0.0039411313 0.0038931584 0.0039194818 0.0039071785 0.003951718 0.0038933493 0.003995399 0.003977183 0.004053863 0.003891823 0.0038924909 0.003882572 0.0039224382 0.0039132824 0.0039199586 0.0039040311 0.0039868155 0.004079328 0.003914236 0.0038915372 0.0040285895 0.0039677406 0.0039508594 0.003989677 0.0040294477 0.0039827144 0.00392425 0.003910612 0.003984145 0.0039618276 0.003934169 0.0040123756 0.0040587275 0.0040442306 0.003977183 0.0039600157 0.00403517 0.0040847645 0.0040312596 0.004145899 0.004740364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.6404234e-05 7.1539546e-07 1.526177e-06 1.8123352e-06 3.195433e-06 1.526177e-06 6.5816384e-06 3.195433e-06 1.0969397e-06 1.9077213e-07 3.8154425e-07 2.3846516e-07 2.8615818e-07 1.4307909e-07 1.9077213e-07 1.9077213e-07 0.00019763992 3.4338982e-06 1.1541713e-05 1.0969397e-06 1.1827871e-05 4.292373e-06 3.495899e-05 1.9697221e-05 2.2415725e-06 5.246233e-07 1.0015536e-06 5.7231637e-07 1.0492466e-06 6.677024e-07 5.246233e-07 1.9554143e-06 0.0005153232 8.489359e-06 5.1651554e-05 8.680132e-06 4.359143e-05 1.8695668e-05 0.00012533729 7.1348775e-05 3.7200564e-06 1.2400188e-06 1.1923257e-06 6.200094e-07 2.1461865e-06 2.3369585e-06 9.538606e-07 2.3751129e-05 0.00010525852 1.2400188e-06 9.44322e-06 4.292373e-06 1.0444774e-05 6.009322e-06 3.777288e-05 1.6978718e-05 4.2923728e-07 1.4307909e-07 1.4307909e-07 1.9077213e-07 1.9077213e-07 5.246233e-07 1.4307909e-06 8.5847455e-07 0.00040810928 1.054016e-05 2.9140441e-05 1.430791e-05 5.4036205e-05 2.5229614e-05 0.000101109224 6.3336345e-05 1.0110923e-05 1.006323e-05 3.3385122e-06 4.673917e-06 7.630885e-06 7.917043e-06 8.537053e-06 2.3321893e-05 0.00033676048 1.4594068e-05 2.5992702e-05 1.50709975e-05 7.931351e-05 2.5420386e-05 0.00011265094 6.4576365e-05 9.395527e-06 1.2066337e-05 6.247787e-06 7.106262e-06 2.8568125e-05 2.0317231e-05 5.9139356e-06 1.7407956e-05 0.00021686021 1.3115584e-05 1.7360264e-05 1.3163277e-05 2.6565018e-05 1.4737147e-05 3.400513e-05 2.2272645e-05 2.5611158e-05 7.4401128e-06 7.4401128e-06 8.489359e-06 3.0285075e-05 1.1446327e-05 1.4355603e-05 2.5229614e-05 9.943997e-05 9.395527e-06 1.6311016e-05 2.6565018e-05 1.9458757e-05 2.0794161e-05 2.894967e-05 2.2224953e-05 6.657947e-05 1.1303248e-05 1.1207862e-05 1.4355603e-05 2.2177259e-05 1.1684792e-05 1.3163277e-05 9.476605e-05 0.00095796224 0.00016225169 9.8533805e-05 0.00013797593 0.00025835316 0.00028572895 0.00012886657 0.00023531742 0.0005982137 3.5054378e-05 4.0729847e-05 7.211186e-05 0.0003476822 8.48459e-05 0.00024862378 0.0005077877 0.000992635 0.0002313112 0.00015710085 0.00020455541 0.00032154642 0.00033814358 0.00015962857 0.00028048272 0.0006257326 6.0999388e-05 7.072876e-05 9.5242984e-05 0.0003572208 0.00014698991 0.00030886006 0.00053258805 0.060739316 0.06107784 0.06085054 0.06135737 0.060969196 0.061624784 0.061404444 0.062403373 0.061126776 0.0615759 0.06140511 0.062415108 0.061481133 0.06235487 0.06256515 0.0635606 48664.0 5.7013397 277450.0 0.010149577 0.009691836 0.0096954405 0.010012615 0.010437917 0.010365832 0.010041449 0.01037304 0.010088304 0.010574878 0.010012615 0.009875653 0.010351415 0.010272121 0.010845197 0.010502793 0.009817985 0.009908091 0.010401874 0.010336998 0.0102793295 0.010401874 0.010434313 0.010052262 0.010041449 0.010409082 0.010117138 0.010387457 0.010272121 0.010546044 0.010466751 0.010264913 0.009756713 0.010041449 0.010236079 0.010225266 0.010142368 0.010318977 0.010556857 0.01054244 0.009843215 0.010866823 0.010225266 0.009998198 0.010167598 0.0101459725 0.010236079 0.0104307085 0.01013516 0.010250496 0.010416292 0.010809155 0.010362227 0.011079473 0.0104631465 0.011065057 0.010221662 0.0104235 0.010636151 0.010124347 0.0102793295 0.010333394 0.010848802 0.010466751 0.009954947 0.010899262 0.010163994 0.010546044 0.010769508 0.012131915 0.010657776 0.010290142 0.010441521 0.011306542 0.010531628 0.010574878 0.011090286 0.010942512 0.010992971 0.011713822 0.010293746 0.010308163 0.011342584 0.01088124 0.0116489455 0.010809155 0.009904487 0.010538836 0.010672193 0.010333394 0.010409082 0.010163994 0.010218057 0.010318977 0.010048658 0.010023427 6.583787 2.0 0.0 0.0 155.0 10485060.0 40824830.0 1.0 0.0 110.0 0.0 1.0 0.0 1.0 0.0 1519312800.0 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 14.0 10.0 6.0 0.0 6.0 0.0 91648.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91648.0 0.0 40669184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0683064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.755107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.64493 0.0 7.999707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -5028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34678.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -91241.0 0.0 40669170.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -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 -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 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 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 130280.0 40669170.0 147456.0 0.0 0.0 13200.0 40804864.0 5028.0 40816640.0 112.0 125968.0 0.0 0.0 0.0 0.0 24.0 126184.0 64.0 126080.0 0.0 0.0 464.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.13442092 0.011018481 0.0048739784 0.005870973 0.0059809797 0.0051029106 0.004508281 0.0056826742 0.0047401865 0.0058501614 0.0061623417 0.004723339 0.0054448224 0.006211894 0.0035747131 0.0066033583 0.007467553 0.0039681597 0.0025678077 0.0026193422 0.0031673922 0.0028076414 0.0027075454 0.004769918 0.0044121495 0.0037233706 0.0039285175 0.0030088243 0.0039552758 0.004521165 0.002800704 0.0036718359 0.006250545 0.0049175844 0.0025588882 0.0025489777 0.0034012797 0.002492488 0.0026223152 0.0023596874 0.0025846553 0.0029394508 0.0023200454 0.0029077374 0.0025133 0.004037533 0.0033943423 0.0028928716 0.003753102 0.0030207168 0.0025321299 0.002818543 0.0027412411 0.0024498727 0.0025043804 0.0024419443 0.0025261836 0.0028244893 0.0025014074 0.003243703 0.0027095275 0.0026698855 0.0025697898 0.0029562986 0.0028918805 0.0029543166 0.002797731 0.0028145788 0.0033765035 0.0028294444 0.0028046682 0.002518255 0.002515282 0.0025806911 0.0037223794 0.002573754 0.0027858382 0.002758089 0.0024776221 0.002495461 0.003003869 0.002455819 0.002837373 0.0029503524 0.0028849433 0.0029860302 0.0027075454 0.0028492655 0.0025678077 0.0029146746 0.0033765035 0.0029860302 0.0028879163 0.0028710684 0.002557897 0.0027917847 0.0025668165 0.0032595596 0.0027640352 0.0037283257 0.0031178396 0.0050662416 0.0035350712 0.0027967398 0.0032952374 0.0037976992 0.002554924 0.0034785816 0.003631203 0.0029206208 0.0038413054 0.004041497 0.003633185 0.0027501606 0.0037858067 0.0044587287 0.0043368298 0.0034805636 0.0026124048 0.0032347834 0.0030672962 0.003248658 0.0028710684 0.0034121813 0.0030534214 0.0027085366 0.0027541248 0.003309112 0.0038462605 0.0031515353 0.0024260876 0.0032952374 0.0048373095 0.0031733385 0.002595557 0.002678805 0.0031693743 0.0036985944 0.0030474751 0.0052713887 0.003229828 0.00397807 0.0027759278 0.0032585687 0.0029335045 0.0026629483 0.0028056593 0.0028056593 0.003814547 0.00263619 0.0024429355 0.0027234023 0.0027085366 0.002983057 0.0024191502 0.0026817783 0.0038185113 0.0023606783 0.002517264 0.0026292526 0.0023844636 0.002720429 0.002537085 0.002535103 0.0026054673 0.0034746171 0.002497443 0.002413204 0.00263619 0.0024647384 0.0028918805 0.0024250965 0.0027006082 0.0031753206 0.0024270786 0.0027759278 0.002880979 0.002496452 0.0023765352 0.0038888757 0.0027452053 0.003631203 0.0027531337 0.0025420403 0.0026312347 0.0024023023 0.0024379801 0.0025588882 0.0025450133 0.0030326096 0.0026381721 0.0027620532 0.0034666888 0.0029969318 0.0028710684 0.0027858382 0.0031713564 0.0028770147 0.0039404104 0.002961254 0.0029444061 0.0029176478 0.002639163 0.0027501606 0.0036421046 0.0028284534 0.0039859987 0.0028730505 0.0028443101 0.0026718676 0.0027917847 0.0027461965 0.002596548 0.0025331208 0.0038680637 0.0027452053 0.0029999048 0.0035657939 0.0029582807 0.0027967398 0.0026778139 0.0036619254 0.004400257 0.0030524305 0.0030068422 0.0030534214 0.002921612 0.002618351 0.0028750326 0.0031693743 0.0037610303 0.004480532 0.0030772067 0.0028978267 0.0032169446 0.0029315224 0.002943415 0.0028462922 0.0037481468 0.0039840164 0.0035033578 0.002816561 0.0032793807 0.0034419126 0.003001887 0.0043090805 0.0029711644 0.004733249 0.0031812668 0.003290282 0.0029057553 0.002942424 0.0040444704 0.0040276223 0.0032793807 0.03830503 0.013204435 4.9622076e-07 0.0 0.0 4.9622076e-07 0.0 0.0 0.0 1.4886623e-06 9.924415e-07 0.0 0.0 2.9773246e-06 0.0 4.9622076e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009542326 5.954649e-06 2.4811038e-06 4.465987e-06 3.4735456e-06 3.969766e-06 2.4811038e-06 1.4886623e-06 2.9773246e-06 2.4811038e-06 5.954649e-06 5.4584284e-06 4.465987e-06 4.465987e-06 8.435753e-06 3.4735456e-06 0.003573782 9.8251716e-05 4.8629638e-05 2.2329936e-05 3.5727895e-05 2.7788365e-05 2.8284585e-05 4.0690105e-05 8.088399e-05 1.1909298e-05 1.5382844e-05 1.240552e-05 1.4390403e-05 1.1909298e-05 2.1337493e-05 2.1337493e-05 0.004863956 0.0005959612 0.00025902723 1.5879064e-05 3.2750573e-05 2.4314819e-05 1.7367727e-05 2.2329936e-05 8.6838634e-05 1.6375287e-05 2.1337493e-05 1.5382844e-05 3.3246793e-05 2.1833714e-05 3.126191e-05 3.969766e-05 0.0065823686 0.0010792802 0.0007031449 8.6838634e-05 7.244823e-05 5.2599404e-05 0.00014390402 8.7334854e-05 0.00012852118 2.8284585e-05 3.2750573e-05 2.7292142e-05 3.175813e-05 3.126191e-05 3.126191e-05 2.7292142e-05 0.0102797095 0.0021982582 0.0015635916 0.0008644166 0.0001672264 7.195201e-05 0.00049076235 0.00022826156 6.649359e-05 4.3171207e-05 6.996713e-05 3.920144e-05 3.8209e-05 3.721656e-05 5.4088065e-05 4.7637193e-05 0.027859323 0.002582333 0.0033554449 0.00073936896 0.00082323025 0.0007458198 0.005836053 0.0030041207 0.0005071376 0.000229254 0.0001453927 0.00010817613 0.00014985868 0.00015630954 0.00016772262 0.0013546827 0.02341517 0.00083861314 0.0013045644 0.00034785076 0.0009988925 0.0011700887 0.0039141895 0.002200243 0.0013323528 0.00047389086 0.00020345052 0.00018409791 0.00019203745 0.00015432466 0.00015630954 0.0017318105 0.013837117 0.0045314883 0.0016003121 0.00082372647 0.00062424573 0.0006262306 0.0009150311 0.0008927012 0.00094877416 0.0009075878 0.00041335193 0.00063218526 0.00059099897 0.00067734136 0.0009319026 0.0055998517 0.017390057 0.0036100063 0.0011264211 0.00090560294 0.00068180735 0.00082471897 0.0011616528 0.0011775319 0.0015467202 0.0014033123 0.0010534767 0.0010301543 0.0011849753 0.0014191915 0.0018593393 0.0073242188 0.030712593 0.004350864 0.0018414754 0.0014008313 0.0013546827 0.0022329935 0.0020548503 0.0031078306 0.0028502923 0.002840864 0.002018626 0.0024299931 0.0027694083 0.0033157472 0.0040283203 0.012975181 0.017182637 0.0018568581 0.0011542095 0.0009120538 0.0014162142 0.0016891356 0.001856362 0.002335215 0.0025208015 0.0021049685 0.0022265427 0.002049888 0.0033097926 0.0036983334 0.0038665524 0.012796045 0.0109466305 0.0020325202 0.0017943344 0.0014216725 0.0022984946 0.0019972885 0.0015382845 0.002330253 0.0051463055 0.0017045183 0.0013745315 0.001818153 0.0032343671 0.0028220075 0.0033633844 0.008006522 0.006554084 0.002070233 0.0022052051 0.002032024 0.0023481168 0.0018915936 0.0021094345 0.001838498 0.0046843244 0.0012579197 0.0010445447 0.0015209167 0.003351475 0.0021362305 0.00197347 0.0036323362 0.033152014 0.03426752 0.033765838 0.034651097 0.034051165 0.034268014 0.034284886 0.03544257 0.03454987 0.033951923 0.03406407 0.034480397 0.034788053 0.034467496 0.035083305 0.03656105 4644.0 8.998278 41788.0 0.0425481 0.059849717 0.0068680006 0.00457069 0.0064851153 0.0053603905 0.0049535753 0.004474969 0.0048339237 0.0055757635 0.005001436 0.009404614 0.005408251 0.038240645 0.027974539 0.010553269 0.030128267 0.0059586484 0.0068680006 0.0061979517 0.010577199 0.005599694 0.0058150664 0.0062697427 0.0052168085 0.0068919305 0.005001436 0.018091317 0.0065808366 0.009524265 0.0056954147 0.012443764 0.00533646 0.0062697427 0.0063654636 0.005623624 0.015076098 0.008567053 0.006317603 0.0059107877 0.0055039725 0.0057432754 0.027591653 0.0045946203 0.005791136 0.005384321 0.004259596 0.0047382023 0.006006509 0.0042835264 0.0058868574 0.009955011 0.010361826 0.012850579 0.006317603 0.0065808366 0.0069637215 0.01146262 0.016487988 0.013257395 0.011558342 0.010984015 0.005097157 0.008303819 0.007753422 0.009356753 0.007873073 0.011223318 0.010457547 0.021728726 0.013736001 0.008088446 0.00985929 0.012970231 0.006150091 0.0121566 0.014334259 0.007753422 0.013424907 0.011366899 0.018569924 0.0060783 0.0124676945 0.014669283 0.012371973 0.01143869 0.006915861 0.011989088 0.007538049 0.013999234 0.0068919305 0.005623624 0.007274816 0.008590983 0.007968795 0.010984015 6.2718153 0.0 17.0 0.0 16.0 1009032.0 2002944.0 0.0 1.0 40.0 0.0 1.0 1.0 0.0 0.0 1208994400.0 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 40960.0 4096.0 4096.0 8.0 4.0 0.0 6.0 8.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 925696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.7776318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9761256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.732554 0.0 7.446025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88595.0 0.0 18037.0 0.0 51400.0 0.0 0.0 0.0 -47656.0 0.0 0.0 -805234.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39230.0 0.0 925696.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 85.0 63008.0 60.0 62044.0 835724.0 1077248.0 0.0 0.0 5512.0 917504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.056307122 0.0082794605 0.0061674165 0.0056489212 0.0057394523 0.004956566 0.0041963123 0.0054092202 0.0050347517 0.005620116 0.003742629 0.004462761 0.0049401056 0.0031757823 0.004320792 0.004634564 0.0050337226 0.003776578 0.0049195304 0.0041603055 0.004354741 0.0031757823 0.00410681 0.003845505 0.0050717867 0.003347585 0.0031665233 0.002936081 0.0041644205 0.0034401736 0.003780693 0.003780693 0.0061663873 0.0038177285 0.0034864678 0.0030235257 0.0048886677 0.004154133 0.00384962 0.0037230826 0.004711721 0.0038907705 0.0033321537 0.003107884 0.004364 0.0037158811 0.0037199962 0.0035975738 0.005503866 0.003961755 0.003107884 0.0029041895 0.0036963348 0.0030831937 0.00269638 0.0028486366 0.004169564 0.003317751 0.0035296755 0.0033424413 0.0040018763 0.0032313352 0.0035245318 0.0034566335 0.0065748054 0.0039545535 0.003609919 0.003228249 0.0041438453 0.0032292777 0.003536877 0.0030749636 0.0049915435 0.0037868656 0.00370868 0.0035893437 0.004127385 0.0031274303 0.0035502508 0.003463835 0.00516026 0.0036171202 0.0036592993 0.003325981 0.0039164894 0.0033743328 0.0033938794 0.0035399632 0.0046458803 0.0036459255 0.0037992108 0.0035080716 0.004095494 0.0033805054 0.0036973634 0.0037837792 0.005894795 0.0036212353 0.0033455275 0.0029556276 0.00400702 0.003056446 0.0032724857 0.0030296983 0.004964796 0.0031757823 0.003206645 0.0030451296 0.003574941 0.0028558378 0.0030975963 0.0032004723 0.0045039114 0.0032827733 0.0032261915 0.0031397755 0.0038784253 0.003339355 0.0032940896 0.003626379 0.0046397075 0.0032940896 0.0034926403 0.0031685808 0.004037883 0.0032128175 0.0034782377 0.003352729 0.008608663 0.0045944424 0.0040142215 0.0035204168 0.004350626 0.0034484037 0.0030245543 0.0033887355 0.004527573 0.003828016 0.00297003 0.0031922422 0.0037230826 0.002795141 0.0028527514 0.002983404 0.0052158134 0.0032056163 0.0035132153 0.0030368995 0.0036644433 0.0031860697 0.0033198085 0.003279687 0.004545062 0.002858924 0.0030554172 0.0027107827 0.0035111578 0.0032385364 0.0029875191 0.0031644658 0.0049956585 0.0034350296 0.0032868884 0.002807486 0.0037652617 0.0030039793 0.0030533597 0.0031829835 0.004127385 0.0030163242 0.0031305167 0.0030317558 0.0036665008 0.0028414351 0.0029257934 0.003048216 0.0046705706 0.0031233155 0.003840361 0.0028743555 0.0035697971 0.003145948 0.003000893 0.0031233155 0.004251865 0.0031634371 0.0033496425 0.003193271 0.0036541556 0.003189156 0.0033208374 0.0033414126 0.006691055 0.0040646307 0.0037241112 0.0033496425 0.004125328 0.0032642556 0.0033023197 0.0032292777 0.004333137 0.0033383262 0.003125373 0.0030903951 0.003643868 0.0029936917 0.0030893662 0.0028157162 0.0042405487 0.0032735143 0.0031058264 0.003009123 0.0037179387 0.0030122094 0.002940196 0.0029556276 0.0039638123 0.0031192005 0.0027406167 0.002658316 0.0035512797 0.0029525412 0.0035934588 0.0028856718 0.0049483357 0.0032354502 0.0034154833 0.0029895767 0.003819786 0.0030749636 0.0032117888 0.0029206497 0.0044360133 0.0054328814 0.003458691 0.003145948 0.0037878943 0.0030801075 0.0032519104 0.0031922422 0.0045964997 0.003322895 0.003429886 0.0030513022 0.0037488015 0.0030975963 0.003317751 0.003258083 0.004365029 0.0030255832 0.003193271 0.0028702405 0.0040224516 0.0031109704 0.0042199735 0.004485394 0.011594105 0.0 0.0 0.0 0.0 0.0 1.0301292e-06 3.0903877e-06 0.0 1.0301292e-06 2.0602583e-06 0.0 0.0 1.0301292e-06 0.0 1.0301292e-06 0.0020386258 4.1205167e-06 2.0602583e-06 6.1807755e-06 5.1506463e-06 1.0301292e-06 3.0903877e-05 1.1331422e-05 0.0 0.0 1.0301293e-05 0.0 0.0 0.0 0.0 0.0 0.0009441134 2.5753232e-06 6.1807755e-06 1.2876615e-05 9.2711625e-06 5.665711e-06 5.150646e-05 2.2662844e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028436717 3.553946e-05 2.7813488e-05 1.0816357e-05 2.2147779e-05 3.450933e-05 4.2235297e-05 1.8027262e-05 3.553946e-05 5.1506463e-06 9.786228e-06 1.5967003e-05 2.6268295e-05 7.2109046e-06 1.6997132e-05 1.2876615e-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 0.00087406463 1.1846486e-05 1.2361551e-05 8.241033e-06 1.339168e-05 1.5967003e-05 1.339168e-05 1.1331422e-05 1.0816357e-05 1.339168e-05 6.69584e-06 1.339168e-05 1.1846486e-05 1.0301293e-05 1.8027262e-05 9.786228e-06 0.0016142125 6.4898144e-05 5.6657107e-05 4.8416074e-05 4.7385944e-05 3.0388812e-05 2.2662844e-05 0.00055111916 2.9873747e-05 1.6997132e-05 1.9572455e-05 0.00027555958 2.0602585e-05 0.0002724692 1.6482067e-05 7.725969e-05 0.0007380876 3.708465e-05 3.3994264e-05 2.0602585e-05 2.2147779e-05 1.6997132e-05 1.3906744e-05 1.1846486e-05 1.6482067e-05 2.2662844e-05 1.905739e-05 1.7512197e-05 6.69584e-06 4.6355813e-06 2.2662844e-05 5.047633e-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 0.0013098093 3.708465e-05 4.2750362e-05 5.9747494e-05 4.2235297e-05 3.1418942e-05 9.116644e-05 5.8202302e-05 3.914491e-05 5.7172172e-05 4.3780492e-05 4.2750362e-05 7.7774755e-05 7.725969e-06 8.756098e-06 0.0001601851 0.0011614707 6.901866e-05 4.584075e-05 4.584075e-05 3.811478e-05 3.7599715e-05 4.7385944e-05 5.9747494e-05 5.2021525e-05 5.047633e-05 6.798853e-05 5.150646e-05 7.4684365e-05 1.4421809e-05 4.3780492e-05 0.00024980633 0.0045536864 0.0002879211 0.00026371307 0.00026422815 0.00029719228 0.00023177908 0.00032397563 0.00030182785 0.0003275811 0.000350759 0.00032861123 0.0003548795 0.0005253659 0.00015915497 0.000183363 0.00073963276 0.0031764035 0.0002719541 0.00029873746 0.00024723102 0.00028689098 0.0002807102 0.00034097277 0.00092763134 0.00040484077 0.0003492138 0.00032243045 0.0006649484 0.0004599527 0.00043265428 0.00017357677 0.0008555223 0.0022369255 0.00018078768 0.0002884362 0.00024362556 0.0002966772 0.00029307176 0.0002838006 0.0004002052 0.00044038024 0.00032088524 0.00024465568 0.00031521954 0.00045789243 0.00016070016 0.00018851364 0.0010321895 0.00034251797 5.4081785e-05 4.2750362e-05 4.4810622e-05 5.4081785e-05 4.790101e-05 5.3051655e-05 5.150646e-05 7.004879e-05 4.790101e-05 3.811478e-05 4.893114e-05 4.4295557e-05 2.6268295e-05 4.1720232e-05 4.687088e-05 0.0989161 0.06202511 0.062434588 0.05538387 0.060571082 0.059547648 0.054987267 0.054547403 0.06043459 0.0532788 0.052226007 0.05303878 0.05649589 0.05064424 0.056717884 0.05389842 4054.0 5.7005424 23110.0 0.017265253 0.010428386 0.009476417 0.008784076 0.013543921 0.012462137 0.011813068 0.011423626 0.0125919515 0.009692774 0.008481177 0.008697534 0.013890091 0.010471657 0.011856339 0.009952402 0.016789269 0.011769797 0.008697534 0.007485937 0.009865859 0.008524449 0.007832107 0.00826482 0.0102985725 0.008437905 0.009692774 0.008784076 0.011423626 0.00891389 0.009606231 0.009216789 0.018044136 0.010904371 0.0102985725 0.009086975 0.010774557 0.008870618 0.0105582 0.008394634 0.01419299 0.011769797 0.009692774 0.009000433 0.011380355 0.009346603 0.01155344 0.009649502 0.014712246 0.00956296 0.009995673 0.008957162 0.012072695 0.00956296 0.009606231 0.009952402 0.013673734 0.009173518 0.010514929 0.009606231 0.011077455 0.0098225875 0.010385115 0.010601471 0.017784508 0.010904371 0.009606231 0.008135007 0.0130246645 0.008221549 0.009303332 0.00826482 0.015318044 0.009303332 0.00891389 0.008740805 0.011466897 0.008048464 0.009909131 0.007788836 0.013154479 0.007961921 0.008740805 0.008697534 0.011466897 0.0093898745 0.008481177 0.0080051925 0.011380355 0.009043704 0.011942882 0.008610991 0.011337084 0.008957162 0.010082215 0.008784076 6.554874 0.0 0.0 0.0 14.0 972044.0 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


Input: 0.10912914 0.004418088 0.008355778 0.0030713982 0.0033864134 0.0027091308 0.0027406323 0.0031344013 0.002984769 0.0032052796 0.0024413678 0.0027406323 0.0027012553 0.002527997 0.0026776292 0.0030083952 0.0033627872 0.0028587629 0.0027957598 0.003024146 0.0031974043 0.003150152 0.0030005197 0.003173778 0.0031422765 0.0028902644 0.0030398967 0.0032446566 0.002780009 0.003504544 0.0029453922 0.0035517963 0.0048669847 0.0049221125 0.0043235836 0.003543921 0.0034730425 0.0033391612 0.003354912 0.0028666384 0.0030162705 0.0029138906 0.0025516232 0.008284899 0.0031659028 0.00404007 0.0032525319 0.003236781 0.0050481185 0.005268629 0.005118997 0.0054576383 0.0060797934 0.004284207 0.0042999573 0.004173951 0.0038825623 0.0038668115 0.003874687 0.0042133285 0.0042054527 0.004268456 0.0037880577 0.004126699 0.005331632 0.005819906 0.0051268726 0.0046701003 0.005819906 0.004331459 0.0046070972 0.005441888 0.0040164436 0.0044653406 0.0041582007 0.0040321946 0.0041582007 0.0040715714 0.0040321946 0.0036778024 0.004000693 0.003024146 0.0030162705 0.0033864134 0.0033627872 0.0028981399 0.0035911733 0.0084109055 0.0031344013 0.0028981399 0.002921766 0.0031422765 0.0081352675 0.0029060151 0.0029375167 0.0030162705 0.0029532674 0.008899179 0.008088015 0.0032997841 0.003504544 0.009489832 0.0032210303 0.0032604074 0.0032446566 0.0033706627 0.008174645 0.0029453922 0.0037329302 0.0026067507 0.0030398967 0.0036778024 0.0029926444 0.0028981399 0.0040794467 0.003685678 0.003543921 0.0031265258 0.0028981399 0.0029060151 0.002756383 0.0026618785 0.00248862 0.0024964954 0.0025122461 0.0084424075 0.003354912 0.0038510608 0.002921766 0.0030950243 0.002756383 0.0030792735 0.002756383 0.0032525319 0.0076391185 0.002756383 0.0029768937 0.0027721338 0.0026382522 0.0038510608 0.0023311125 0.0029926444 0.002449243 0.0025988754 0.0025043709 0.0025516232 0.0026697537 0.0025358724 0.0026461277 0.0026855045 0.0025594984 0.0027485075 0.0023941156 0.0026855045 0.002654003 0.0026225015 0.0024098663 0.0024964954 0.0077808755 0.0025358724 0.0077178725 0.0024649939 0.0024177416 0.0026225015 0.0024964954 0.002134228 0.0022208572 0.002134228 0.0024334923 0.0026618785 0.0027406323 0.0075288634 0.0025988754 0.0022838602 0.0024177416 0.0030398967 0.0030320212 0.0024807446 0.002717006 0.0026697537 0.0025358724 0.0026225015 0.0076391185 0.0025831247 0.0025516232 0.002527997 0.0022444832 0.008056514 0.0028981399 0.0024571186 0.002984769 0.0025201216 0.002921766 0.0026067507 0.0029453922 0.007560365 0.0026461277 0.0024413678 0.0024728694 0.0024807446 0.0026146262 0.0025831247 0.0023783648 0.0025752492 0.0028666384 0.0022444832 0.0022759847 0.0025752492 0.0028351368 0.0025122461 0.0031974043 0.0025201216 0.002654003 0.0023704893 0.0025201216 0.0071665957 0.0026461277 0.0028272613 0.0023941156 0.00269338 0.002819386 0.008269149 0.0034336657 0.0028508876 0.0030005197 0.0025201216 0.0028981399 0.0025122461 0.0028745136 0.0028115106 0.0026855045 0.0025122461 0.0033391612 0.0027642583 0.003914064 0.002717006 0.0030083952 0.0027248815 0.0025831247 0.0026618785 0.002591 0.007836003 0.0027642583 0.0024334923 0.0028902644 0.0025752492 0.0026618785 0.0028823891 0.0030320212 0.0024413678 0.0024413678 0.002654003 0.0027327568 0.002449243 0.002567374 0.0050874953 0.024390243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075743143 4.3667427e-05 2.3818597e-05 3.5727895e-05 2.3818597e-05 4.3667427e-05 3.5727895e-05 3.969766e-05 3.5727895e-05 3.5727895e-05 1.984883e-05 6.351626e-05 3.175813e-05 5.1606963e-05 3.969766e-05 3.175813e-05 0.007149549 4.7637193e-05 3.175813e-05 0.00039300686 2.7788365e-05 3.175813e-05 1.1909298e-05 0.00025406503 7.939532e-06 2.7788365e-05 1.984883e-05 4.3667427e-05 7.939532e-06 3.969766e-06 6.351626e-05 7.939532e-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 0.0063397167 2.3818597e-05 1.984883e-05 7.939532e-06 0.00014688136 3.5727895e-05 5.1606963e-05 0.00027391387 0.0005716463 0.0 3.175813e-05 3.5727895e-05 0.00011909299 7.939532e-06 0.000103213926 0.00036124873 0.019765466 0.00021039761 7.939532e-05 0.013505145 0.0139973955 0.00017466971 0.000103213926 0.00013100229 0.000103213926 0.00011909299 0.00011115346 8.7334854e-05 0.00011909299 9.1304624e-05 0.00011512322 6.748603e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008566756 9.924416e-05 0.00026200459 0.005279789 0.0042357408 0.0005200394 0.0019809133 0.0015521786 0.0006470719 3.175813e-05 7.542556e-05 0.00018260925 0.00014291158 2.7788365e-05 0.00033743013 0.0004485836 0.012155424 0.0009527439 0.0018657901 0.0009924415 0.002092067 0.0008971672 0.0011829904 0.0007185277 0.00094877416 0.00018657901 0.00042079523 0.00036124873 0.00034536966 0.0004009464 0.00035727897 0.0005120998 0.0032710873 0.00020245808 0.00043270452 0.0007066184 0.00013894182 0.00017069995 0.0002461255 0.0013378112 0.00019054877 0.00017069995 0.00010718369 0.0002342162 7.145579e-05 3.5727895e-05 0.00065501145 0.00015879064 0.0053433054 0.0008098323 0.0003652185 0.0015561484 0.0021714622 0.00068676955 0.0018816692 0.0012028392 0.00032552084 0.0002699441 0.00025009527 0.00020642785 0.0002937627 0.00032552084 0.00035727897 0.00021436738 0.0073004 0.0012187182 0.002274676 0.002937627 0.0013139927 0.0038347943 0.006712875 0.0037871571 0.0028066246 0.0016276041 0.002937627 0.003175813 0.001937246 0.0031480247 0.0012187182 0.0025485898 0.0090074 0.001937246 0.005962589 0.0029296875 0.0049502985 0.0057998286 0.008824791 0.0037395197 0.0039102198 0.0026398946 0.0047676894 0.0048828125 0.0030249618 0.005482247 0.0015005716 0.0038109757 0.045318853 0.0441835 0.050011117 0.044016767 0.044977453 0.048784457 0.052714527 0.04174606 0.041503906 0.041499935 0.041384812 0.04348085 0.04026534 0.044421684 0.04090844 0.04209937 1805.0 6.3977838 11548.0 0.012123311 0.018877728 0.00510911 0.0032906132 0.0047627296 0.004329754 0.0037235885 0.0044163493 0.0036369935 0.0034638033 0.0027710425 0.04979217 0.0036369935 0.00493592 0.004069969 0.0038101836 0.01619328 0.016539661 0.01740561 0.019137513 0.017319016 0.009352269 0.011950121 0.009092484 0.008746103 0.008746103 0.011170765 0.009179079 0.009265673 0.01021822 0.010304815 0.011517146 0.011257361 0.017492207 0.01021822 0.014028403 0.017059231 0.010997576 0.012296502 0.02182196 0.010651195 0.012902667 0.008659508 0.011603741 0.010824385 0.01108417 0.012469692 0.009698649 0.013075857 0.0039833738 0.0045895395 0.0069276066 0.0038967787 0.0030308277 0.005368895 0.050051957 0.0058884653 0.0044163493 0.0038101836 0.0046761343 0.047454104 0.0047627296 0.0045895395 0.0050225146 0.0039833738 0.008746103 0.00493592 0.007447177 0.008313128 0.017059231 0.0050225146 0.0056286803 0.0059750606 0.0101316245 0.04702113 0.0048493245 0.011690336 0.0058018705 0.007880152 0.010478005 0.004502944 0.0045895395 0.012469692 0.0079667475 0.012296502 0.0050225146 0.004069969 0.0050225146 0.0038101836 0.0046761343 0.0026844474 0.0023380672 0.0034638033 0.04702113 0.004069969 0.007533772 6.1361995 0.0 0.0 0.0 4.0 126978.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 -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 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 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 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.11178048 0.01624667 0.0069663483 0.006862373 0.012354923 0.0035121336 0.0038743028 0.0031960208 0.015047815 0.0017801417 0.003077391 0.0029189857 0.011914598 0.0017026835 0.0015261348 0.009609695 0.025529785 0.002609851 0.0014410006 0.0038903528 0.0071010278 0.0029755093 0.00092251954 0.00084366574 0.003494688 0.0011849003 0.00084296794 0.00077527924 0.0028436212 0.0006112913 0.00079063134 0.00088065024 0.012241178 0.0010551056 0.00067130395 0.0006992168 0.0033265133 0.00074876205 0.0009148435 0.0006496715 0.0029622507 0.0011088378 0.0007703945 0.0020725287 0.002367707 0.0016831446 0.0015910321 0.0008366875 0.0041478486 0.0022295385 0.0025386733 0.00661674 0.0031485688 0.0016629078 0.0021569652 0.0020432202 0.0037689318 0.0030243567 0.0019008648 0.0052915774 0.0021751085 0.0023083922 0.0018596933 0.0021206783 0.005355079 0.0037912622 0.001993675 0.0024800564 0.0024744738 0.017580207 0.004942667 0.0035393487 0.0031157713 0.0021471956 0.0011144204 0.000944152 0.0019364536 0.010269834 0.0028492035 0.001638484 0.0146361 0.0031974164 0.002094859 0.005625136 0.0019378492 0.007786288 0.008232893 0.005304138 0.002497502 0.00529088 0.0010544077 0.0031367058 0.0010760402 0.009675988 0.0045798 0.004516996 0.0015645149 0.005283204 0.0017794438 0.0023021118 0.003179971 0.008870702 0.0037668385 0.0026279944 0.0070514823 0.004680984 0.0076334653 0.00083110493 0.004701919 0.0026859136 0.0045267656 0.0046049217 0.002882699 0.00069223857 0.006471593 0.0039036113 0.01537579 0.019156586 0.0025030845 0.0016838424 0.0032357965 0.0016984966 0.0006908429 0.0007417839 0.0010851119 0.0054248613 0.0015205522 0.00090646965 0.0035567943 0.0021485912 0.00075155334 0.0133088445 0.0036168068 0.0070898626 0.0008869307 0.00078225747 0.0027242936 0.016549526 0.0013440035 0.05059203 0.00128748 0.017326899 0.0007655098 0.00067688647 0.0011723395 0.0006022196 0.00046335324 0.00052894844 0.00095950405 0.0009874168 0.00040543408 0.00038170815 0.0010927878 0.00088553503 0.00035309748 0.00046265541 0.0010313796 0.00052894844 0.000456375 0.0009134479 0.0014870568 0.0010892987 0.00037542777 0.00041241228 0.001096277 0.0013209754 0.00031960208 0.00033914106 0.00088553503 0.00033844323 0.00037263648 0.0006873538 0.0010599903 0.0003377454 0.00037472995 0.00047312272 0.0015435803 0.0009978842 0.00037193866 0.00055825687 0.0009790431 0.00090437615 0.00085622654 0.00061268697 0.0026307856 0.0007522512 0.000456375 0.0007278274 0.000897398 0.00060012616 0.0009476411 0.0007389926 0.007341776 0.0032330053 0.0047877505 0.004928013 0.003826851 0.0008213355 0.0032581268 0.004119238 0.002886886 0.0019671577 0.0007236405 0.0018192197 0.0013956423 0.0007794662 0.0034039714 0.0020467094 0.0014340224 0.00081156596 0.00091414567 0.00057988934 0.0012477041 0.0003572844 0.00046823797 0.0005254593 0.0017271073 0.000944152 0.00049684866 0.0011911807 0.0015282283 0.0004431164 0.00048707915 0.00058686757 0.0021583608 0.0010509186 0.0005938458 0.00062943465 0.0029636463 0.0023970155 0.00053453096 0.00048149657 0.023939451 0.0031967186 0.0004933595 0.005181322 0.008161716 0.00050801376 0.00089670013 0.0006098957 0.004037593 0.0021458 0.0009888125 0.0032958093 0.0037787014 0.0012818974 0.002868045 0.0023230466 0.0053808987 0.0021199805 0.0009881147 0.0011876916 0.007560194 0.0014577484 0.0034660776 0.051381268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00067339506 2.9688059e-05 6.985426e-07 1.0478138e-06 2.0956277e-06 0.0 1.3970852e-06 3.492713e-07 2.4448989e-06 1.3970852e-06 0.0 1.0478138e-06 0.0 0.0 3.492713e-07 1.3970852e-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 0.00063776935 1.0478138e-05 2.0956277e-06 7.683968e-06 1.1176681e-05 3.841984e-06 2.479826e-05 8.033239e-06 3.4927127e-06 1.3970852e-06 0.0 1.3970852e-06 6.985426e-07 0.0 6.985426e-07 1.7463564e-06 0.0006017944 1.9559191e-05 1.4320122e-05 1.1875223e-05 8.033239e-06 6.6361545e-06 2.4448989e-06 2.7941703e-06 2.2004091e-05 1.1525953e-05 2.7941703e-06 2.7941703e-06 0.0 4.8897978e-06 1.0478138e-06 2.7941703e-06 0.006371407 0.00023855228 0.00043519202 0.00037756225 0.00013202455 5.5883404e-05 0.00023401176 4.5055996e-05 0.00014983737 6.461519e-05 4.4706725e-05 0.00015996625 2.7941703e-06 2.0956277e-05 0.00021550037 3.562567e-05 0.002623726 0.00024064792 0.0002518246 0.00015542572 0.00014529686 4.086474e-05 0.000422269 0.0002165482 3.562567e-05 5.6232675e-05 2.9338787e-05 1.0478138e-05 3.4927127e-06 9.7795955e-06 3.9467654e-05 1.082741e-05 0.025101079 0.001407214 0.002028917 0.0015039621 0.0026928815 0.0022507042 0.008060133 0.0038245206 0.00031923395 0.00017184147 0.00033774532 0.00011525952 0.00014250269 0.0001033843 0.0001543779 0.00042715878 0.0063700094 0.00030561237 0.0033093453 0.0014194385 0.0056994087 0.0034280976 0.012690074 0.006385727 6.2170286e-05 3.3879314e-05 6.32181e-05 4.8199436e-05 3.841984e-05 2.8989516e-05 5.6931218e-05 0.000117704425 0.005209032 0.00043484275 0.003902408 0.0015078041 0.0016939658 0.0014739248 0.007185907 0.0041371183 0.00036428994 8.068167e-05 4.7850164e-05 0.00024099718 5.378778e-05 3.4577857e-05 7.0203525e-05 0.0007442971 0.008999673 0.001026159 0.0024676016 0.0024511858 0.0025130068 0.0014931348 0.006568745 0.0037382506 0.0008735275 0.00018755867 0.0002514753 0.00024588697 0.00026439835 0.00014669394 0.0002954835 0.0006660603 0.01129683 0.0030274834 0.0030239907 0.015961697 0.0029272425 0.001977574 0.0057552923 0.003652679 0.002218222 0.0012884617 0.0011728529 0.0012098757 0.0013618087 0.00114072 0.0014424904 0.001913308 0.013988664 0.0050811986 0.0022859806 0.0017903646 0.0032052626 0.0035052865 0.0036194983 0.0034535944 0.0065736347 0.00063532445 0.00059865095 0.0012937008 0.0023757434 0.000804721 0.0025112606 0.004071106 0.08549532 0.026071705 0.009508911 0.012706839 0.029554987 0.04105544 0.011274826 0.027691625 0.072192974 0.0043358537 0.004057135 0.0061754654 0.02587227 0.006648728 0.030006595 0.052987944 0.044619754 0.018739102 0.0063431156 0.008946584 0.017533768 0.025310991 0.010076476 0.014721785 0.040601388 0.00429918 0.004272985 0.0050151865 0.017193578 0.0047448506 0.018972766 0.0332866 0.00024414062 9.674815e-05 0.0001033843 0.00013516798 7.334697e-05 8.8016364e-05 0.00016101406 0.000113862436 7.29977e-05 4.2960368e-05 5.972539e-05 4.1912554e-05 5.134288e-05 4.2611096e-05 4.7850164e-05 5.5534132e-05 7893.0 21.088432 166451.0 0.079104364 0.0007389562 0.00044457527 0.000744964 0.0023550475 0.0013877958 0.00086511945 0.0011294616 0.0067887846 0.0050585456 0.0024571796 0.00175427 0.004169395 0.0025292728 0.008344798 0.0013517492 0.011655082 0.009702555 0.0083147595 0.007954293 0.0063382015 0.004523854 0.00515467 0.0037909055 0.005004476 0.005070561 0.006410295 0.0074856863 0.005130639 0.006061844 0.004704087 0.0075097177 0.016737659 0.0090417 0.0048903283 0.006157968 0.007659912 0.009774649 0.004758157 0.012454116 0.0073234765 0.011582988 0.00066686294 0.001063376 0.0075998344 0.004728118 0.0052267634 0.004968429 0.013343266 0.0028176461 0.0074256086 0.011601011 0.008621156 0.004595947 0.0049323826 0.0030759803 0.007419601 0.0045599006 0.0040732706 0.00585758 0.0010874071 0.005875603 0.0012616325 0.0135054765 0.0011835315 0.04066662 0.010063021 0.016497348 0.018582046 0.06671032 0.019897748 0.019176815 0.009972905 0.03673754 0.0019284955 0.0022709386 0.03295865 0.018618092 0.03333714 0.035091408 0.0125322165 0.0014598891 0.045797262 0.024313461 0.052291665 0.022120625 0.00887949 0.0048783123 0.012886675 0.0065004113 0.002288962 0.0007509718 0.0011595004 0.0007629873 0.00045659082 0.000504653 5.7518682 2.0 16.0 0.0 2.0 1433032.0 1449984.0 1.0 930.0 160.0 1.0 1.0 1.0 1.0 0.0 1495354500.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 1090048.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -43520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 281088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1090560.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.7468576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6593223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1588724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.178751 0.0 3.210613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -43064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280754.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1090035.0 0.0 888.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 -5.0 -1.0 2.0 2.0 -1.0 0.0 -4.0 2.0 2.0 3.0 -1.0 2.0 -1.0 -1.0 -3.0 3.0 -3.0 -2.0 5.0 -1.0 1.0 4.0 -2.0 -1.0 2.0 -3.0 0.0 0.0 3.0 -5.0 3.0 -2.0 -1.0 -3.0 2.0 -2.0 2.0 5.0 0.0 2.0 -3.0 4.0 2.0 1.0 2.0 0.0 -2.0 -3.0 2.0 2.0 1.0 -6.0 5.0 -1.0 -3.0 3.0 2.0 1.0 -1.0 0.0 4.0 2.0 -2.0 3.0 2.0 -1.0 2.0 2.0 2.0 2.0 -2.0 1.0 -5.0 0.0 2.0 -2.0 0.0 -3.0 -5.0 -3.0 -6.0 5.0 -3.0 -3.0 3.0 4.0 1.0 5.0 3.0 -4.0 -1.0 5.0 -3.0 -2.0 -4.0 1.0 -3.0 1.0 -3.0 -3.0 3.0 -3.0 2.0 3.0 2.0 2.0 4.0 -3.0 0.0 -4.0 -1.0 2.0 -3.0 4.0 -7.0 0.0 4.0 0.0 1.0 0.0 2.0 2.0 -1.0 0.0 35948.0 1336480.0 240.0 1372428.0 888.0 1400832.0 0.0 0.0 7624.0 1425408.0 43064.0 1404928.0 84.0 1335136.0 0.0 0.0 0.0 0.0 24.0 1335316.0 64.0 1335224.0 0.0 0.0 684.0 1097728.0 0.0 0.0 0.0 0.0


Input: 0.056569587 0.008295315 0.0061641242 0.00564838 0.0057527693 0.004961066 0.004199336 0.0054199644 0.005047885 0.0056122057 0.0037507727 0.00446806 0.0049486635 0.003178183 0.0043264627 0.0046416973 0.00504065 0.0037600745 0.0049321265 0.0041621276 0.004365738 0.0031750822 0.004108383 0.003842759 0.005081992 0.003345619 0.0031719815 0.0029352973 0.004138356 0.0034355382 0.0037828127 0.0037931483 0.0061734263 0.0038200207 0.0034903167 0.003031418 0.004889751 0.0041579935 0.0038365577 0.0037239 0.0047367844 0.0039027052 0.0033373504 0.0031068677 0.0043647047 0.0037249336 0.0037280344 0.0035854038 0.0055088503 0.003950249 0.003089297 0.0028918881 0.0036722224 0.0030789615 0.0026903448 0.002866049 0.0041745305 0.0033156457 0.0035120214 0.0033528537 0.004008128 0.0032288271 0.0034996187 0.0034562093 0.006596151 0.003958517 0.0036226118 0.0032339948 0.004159027 0.0032246928 0.0035409608 0.0030675924 0.0049951733 0.00377041 0.0037052962 0.0035874709 0.0041362885 0.0031306394 0.0035585312 0.0034624105 0.005167777 0.0036164103 0.0036463835 0.0033321825 0.003929578 0.0033900617 0.0033538872 0.0035357932 0.0046458314 0.0036515512 0.0038138195 0.003507887 0.004116651 0.0033817934 0.0036877256 0.0037848798 0.005907803 0.0036319138 0.0033414846 0.0029580356 0.0040184637 0.0030520891 0.0032650016 0.003031418 0.004969334 0.0031699145 0.0031885183 0.0030510556 0.0035833367 0.0028381431 0.0030923977 0.0031916192 0.004505268 0.0032929075 0.0032215922 0.0031409748 0.0038882354 0.0033270149 0.0032856727 0.0036308803 0.004627228 0.003291874 0.0034727461 0.0031668139 0.004030866 0.0031957533 0.0034696455 0.0033435517 0.008633289 0.0045941537 0.004012262 0.0035316588 0.004361604 0.0034458737 0.0030169482 0.0033879946 0.004538342 0.0038437925 0.0029673376 0.0031926527 0.003731135 0.0028061029 0.0028402102 0.0029828409 0.005217388 0.0032164245 0.0034923838 0.0030231497 0.0036629203 0.0031874848 0.0033084108 0.0032722363 0.00454351 0.0028422773 0.0030438206 0.002703781 0.0035109876 0.0032277936 0.0029807738 0.0031575118 0.0050148107 0.0034169343 0.0032701693 0.0028061029 0.0037714436 0.0030117806 0.0030572568 0.0031833507 0.004140423 0.003003512 0.0031275386 0.0030200488 0.0036505177 0.0028381431 0.0029166935 0.003042787 0.0046644355 0.0031089347 0.0038375913 0.0028464117 0.003561632 0.0031678474 0.0029880088 0.0031203039 0.0042551477 0.0031482098 0.003329082 0.003173015 0.0036505177 0.0031998875 0.0033270149 0.0033414846 0.0067088082 0.0040639397 0.0037259671 0.0033394175 0.004129054 0.0032701693 0.0032980754 0.0032381292 0.0043243957 0.0033332163 0.0031234045 0.003079995 0.003640182 0.0029900759 0.003077928 0.002796801 0.0042572147 0.0032774042 0.0030996327 0.0030024785 0.0037083968 0.0030200488 0.0029394317 0.002954935 0.0039802217 0.0031130689 0.0027296199 0.0026365998 0.0035409608 0.002952868 0.0035874709 0.0028908544 0.0049486635 0.003247431 0.003396263 0.0029756061 0.003810719 0.0030789615 0.0031957533 0.0029073914 0.0044411877 0.0054437364 0.0034675784 0.0031296057 0.003796249 0.0030861965 0.0032401963 0.0031823171 0.0046086237 0.0033259813 0.0034210684 0.0030396865 0.0037466383 0.003096532 0.0033239143 0.0032494983 0.0043502348 0.0030448542 0.003178183 0.0028577808 0.004016396 0.003096532 0.0042355102 0.0045063016 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09912264 0.062026218 0.062479805 0.05530834 0.060621437 0.05954753 0.05496711 0.05445656 0.060476456 0.053175017 0.0521648 0.052938905 0.05645888 0.05058863 0.056652535 0.05387197 4040.0 5.702475 23038.0 0.017145585 0.010634604 0.0094192205 0.008724716 0.013542842 0.012414272 0.01180658 0.011502734 0.012587898 0.0097664725 0.008551089 0.008811529 0.013803282 0.010547791 0.011676361 0.009896693 0.016624708 0.011980207 0.008681309 0.007465926 0.009853286 0.008551089 0.007899991 0.008377464 0.010287351 0.008507683 0.00954944 0.008898342 0.011459328 0.009028561 0.009592847 0.009289001 0.018187342 0.0108516365 0.010374164 0.0090719685 0.0108516365 0.008811529 0.010764823 0.00829065 0.014193941 0.011632955 0.009723066 0.008941748 0.011502734 0.009332407 0.011632955 0.00954944 0.014714819 0.00954944 0.009896693 0.0090719685 0.012110426 0.0094192205 0.009506034 0.0097664725 0.013629655 0.009202188 0.0105043845 0.009506034 0.011155482 0.0097664725 0.010374164 0.010634604 0.017883496 0.010981856 0.009636253 0.008160431 0.01306537 0.008203837 0.009332407 0.008377464 0.015365917 0.009332407 0.008854935 0.008681309 0.011372515 0.008117024 0.010070318 0.007813178 0.01319559 0.008030211 0.008637902 0.008768123 0.011415921 0.009506034 0.00829065 0.008030211 0.011068669 0.008941748 0.0118933935 0.00842087 0.0111988885 0.009028561 0.010113725 0.008811529 6.554943 0.0 0.0 0.0 15.0 967534.0 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