Input: 0.28583097 0.014133522 0.0069839014 0.00087594695 0.00091145834 0.003420928 0.0013375947 0.0016927083 0.0044744317 0.0006510417 0.00058001897 0.002627841 0.002544981 0.0008285985 0.0006510417 0.00053267047 0.00081676134 0.0005681818 0.00058001897 0.0010535038 0.0014796401 0.0006510417 0.00048532197 0.00046164772 0.0006273674 0.00036695076 0.0004971591 0.00046164772 0.0008285985 0.00042613636 0.0005681818 0.0006392045 0.012689394 0.0007102273 0.003219697 0.0004498106 0.0006983901 0.0006392045 0.0005918561 0.0002840909 0.00080492423 0.00046164772 0.0009469697 0.00030776515 0.010570549 0.0005445076 0.027935605 0.00086410984 0.0143821025 0.0058001895 0.0023674243 0.004758523 0.005007102 0.0060369316 0.0022727272 0.0045691286 0.0021780303 0.0031960227 0.0008404356 0.00036695076 0.0014559659 0.0102509465 0.0058238637 0.00042613636 0.0006747159 0.003918087 0.0052911933 0.005007102 0.006368371 0.0021306819 0.0040838066 0.00043797347 0.0011600379 0.002438447 0.0004971591 0.0032433711 0.0040956438 0.0017045455 0.002071496 0.0015743371 0.0061671403 0.0015861742 0.0017282197 0.010452178 0.006060606 0.0018939395 0.0032433711 0.004651989 0.00040246212 0.00047348486 0.00087594695 0.0003432765 0.0002249053 0.00030776515 0.0003432765 0.0022253788 0.00036695076 0.026160037 0.011730587 0.012144886 0.008712121 0.04790483 0.0054095644 0.0057054926 0.0046875 0.027414773 0.00030776515 0.004675663 0.022952178 0.016631156 0.029995264 0.030847538 0.005977746 0.0006510417 0.025544507 0.02097538 0.03284801 0.023141572 0.0026633523 0.009232954 0.0053148675 0.01352983 0.0021306819 0.00030776515 0.0003314394 0.0002249053 0.00043797347 0.00043797347 0.0003432765 0.00026041668 0.0003314394 0.00017755682 0.00036695076 0.00029592804 0.00021306818 0.0002840909 0.00029592804 0.0002249053 0.00018939393 0.0003432765 0.0002249053 0.0002840909 0.00026041668 0.0003432765 0.00026041668 0.00031960226 0.0002722538 0.0003432765 0.00030776515 0.00026041668 0.0002722538 0.00020123106 0.00030776515 0.0003432765 0.00031960226 0.00031960226 0.0002249053 0.00029592804 0.0002722538 0.00043797347 0.00040246212 0.00029592804 0.00024857954 0.00031960226 0.0002249053 0.00026041668 0.00024857954 0.0002249053 0.0002840909 0.0002840909 0.0002840909 0.00021306818 0.00029592804 0.0002840909 0.0002840909 0.0001657197 0.0002840909 0.0006628788 0.0002722538 0.00024857954 0.00021306818 0.00024857954 0.0003314394 0.0002840909 0.00029592804 0.00013020834 0.00026041668 0.00024857954 0.0005681818 0.00026041668 0.0003432765 0.0002249053 0.0002840909 0.00029592804 0.00024857954 0.0006628788 0.0006510417 0.0003432765 0.00035511365 0.00020123106 0.00026041668 0.00031960226 0.00023674243 0.00020123106 0.00021306818 0.0002722538 0.00035511365 0.00021306818 0.00026041668 0.0003314394 0.0002840909 0.0002722538 0.0002840909 0.0003314394 0.00035511365 0.00023674243 0.00026041668 0.00029592804 0.00026041668 0.00024857954 0.0002840909 0.00020123106 0.00030776515 0.00029592804 0.0002249053 0.00029592804 0.0003314394 0.0003432765 0.00024857954 0.00024857954 0.00029592804 0.00020123106 0.0001657197 0.000390625 0.00020123106 0.00029592804 0.00020123106 0.0003314394 0.00031960226 0.000390625 0.00024857954 0.00029592804 0.00020123106 0.0003314394 0.0002840909 0.0002249053 0.00023674243 0.00024857954 0.00023674243 0.0002722538 0.00017755682 0.00030776515 0.0002840909 0.0002249053 0.00020123106 0.008605587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0088011185 6.0281636e-05 0.00023509839 0.00025318286 0.0003616898 0.00015673225 0.0015010127 0.0008740837 2.4112655e-05 6.0281636e-06 1.808449e-05 2.4112655e-05 1.2056327e-05 0.0 6.0281636e-06 1.2056327e-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 0.17111546 0.0015914352 0.009198978 0.009626977 0.01687283 0.009391879 0.08262201 0.04143157 0.00077160494 0.0006209008 0.00048828125 0.00032552084 0.0004641686 0.000367718 0.00038580247 0.00040388695 0.013436777 0.00091628084 0.008228444 0.010163484 0.0051540798 0.0049189813 0.033799913 0.021255305 8.439429e-05 0.00014467593 0.00017481674 0.00012659143 8.439429e-05 0.00010247878 7.836612e-05 9.645062e-05 0.103539735 0.0034601658 0.035795234 0.041534048 0.015739536 0.020947868 0.11906829 0.06794343 0.0003616898 0.0004641686 0.00032552084 0.0008921682 0.0009283372 0.00028935185 0.00034360532 0.008119936 0.0034360532 0.0002833237 0.00083791476 0.00061487267 0.0005606192 0.00045211226 0.0032190394 0.0022063078 0.000114535105 9.042245e-05 8.439429e-05 4.2197145e-05 8.439429e-05 6.0281636e-05 6.6309796e-05 0.00019290124 0.004273968 0.00031949268 0.00077160494 0.00050636573 0.00071735145 0.0005666474 0.0022243923 0.0011574074 0.0001989294 0.00017481674 0.00016276042 0.00027729553 0.00034963348 0.00023509839 0.00020495756 0.00020495756 0.010326244 0.0015854071 0.0038519965 0.0044487845 0.002574026 0.002543885 0.009283372 0.00574484 0.0010730131 0.0013081115 0.0010489004 0.0011031539 0.00094039354 0.0012056327 0.0010428723 0.0013020834 0.003466194 0.0010489004 0.0016698013 0.0016758295 0.0016698013 0.0012297453 0.0043885033 0.0026644482 0.0007052951 0.00086805556 0.00081380206 0.0010549286 0.0009645062 0.0008318866 0.00083791476 0.00080174574 0.0024414062 0.001326196 0.0017783083 0.0017903646 0.0014467592 0.001217689 0.0025619694 0.0020917729 0.0011212385 0.0010910976 0.0011935764 0.0010247878 0.0012779707 0.0013925058 0.0015190972 0.0014166185 805.0 42.303104 34054.0 0.029688142 0.0010571445 0.0071944557 0.00014682562 0.00014682562 0.0005873025 5.8730253e-05 2.9365126e-05 0.00035238152 0.00023492101 0.0004404769 2.9365126e-05 0.024050038 0.00023492101 0.050654843 0.001174605 0.033065133 0.012421449 0.00070476305 0.010659541 0.0106301755 0.014124625 0.0037000058 0.01054208 0.0036706408 0.0071357256 8.809538e-05 0.00020555589 0.0014682563 0.024549246 0.0014682563 0.0003230164 8.809538e-05 0.0033769894 0.0025254008 0.010101603 0.008780173 0.0009690492 0.0075468374 0.00026428612 0.00017619076 0.0011452399 0.0 0.0070476304 0.0025254008 0.001174605 0.0012627004 0.00052857224 0.010277794 0.0033476243 0.0022611148 0.019792095 0.008222235 0.0010277794 0.0070769954 0.009161919 8.809538e-05 0.0 2.9365126e-05 2.9365126e-05 2.9365126e-05 2.9365126e-05 0.0 0.004404769 2.9365126e-05 0.03905562 0.017883362 0.015534151 0.014741293 0.07573266 0.011423034 0.010923827 0.0061960416 0.04372467 0.0 0.0082809655 0.03591355 0.02766195 0.050684206 0.046426263 0.00463969 0.00014682562 0.04410642 0.042608798 0.0482469 0.03934927 0.0035531803 0.017824631 0.0019968285 0.02584131 0.0025841312 0.00035238152 0.00017619076 5.8730253e-05 0.00014682562 2.9365126e-05 5.301078 0.0 1.0 0.0 1.0 84480.0 106496.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1533235300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 81920.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.348787 0.0 3.2908127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81572.0 0.0 1216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 89680.0 1216.0 90112.0 0.0 0.0 0.0 0.0 12.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.060357727 0.005251789 0.0036040547 0.0038573283 0.0033740706 0.004267806 0.0040116217 0.003027639 0.0044745007 0.0044890568 0.0030509285 0.0031266194 0.0032314223 0.004914091 0.0029141023 0.003455584 0.0032226886 0.0039679534 0.003685568 0.0038398611 0.003062573 0.0036884793 0.003123708 0.0035225414 0.0034381167 0.0030683954 0.002832589 0.0030363724 0.0035370972 0.0032925573 0.0033012908 0.0033682482 0.0037816374 0.0032081327 0.003455584 0.003775815 0.0028384114 0.004358053 0.0038165716 0.0039068186 0.0030392837 0.0032692677 0.0035400086 0.0033682482 0.0035138077 0.0038194829 0.004261984 0.0037991046 0.003286735 0.0037729037 0.004445389 0.0036681008 0.003088774 0.0033566034 0.0034468505 0.0034643174 0.004250339 0.0035836764 0.0029315695 0.0030771291 0.0029781486 0.003411916 0.0028384114 0.0033012908 0.005455572 0.0045181685 0.002998527 0.0029956158 0.0053041903 0.012119289 0.002800566 0.0040261773 0.003682657 0.005208121 0.0034526729 0.0033973602 0.003120797 0.004946114 0.004477412 0.0042532505 0.0051964764 0.0042095827 0.0031469977 0.0032372447 0.0030509285 0.0041047796 0.0036710121 0.004291096 0.004459945 0.0038165716 0.0031586424 0.0038485948 0.0037263248 0.0037234135 0.0030945963 0.0031411753 0.0036477225 0.0031266194 0.0030363724 0.003516719 0.004823844 0.0034177385 0.0031353529 0.0034148272 0.0051528085 0.003778726 0.004160092 0.004177559 0.0032226886 0.0039766873 0.004523991 0.0041338913 0.003484696 0.0028151218 0.0044424776 0.00351963 0.0038573283 0.0029810597 0.004197938 0.0029344808 0.0031004187 0.003289646 0.0034031826 0.0038893514 0.0037874598 0.0034672287 0.0028762568 0.0036622786 0.0050334497 0.003638989 0.0031295305 0.0035341862 0.0035720316 0.004128069 0.0034206496 0.0030392837 0.0036913904 0.003947575 0.003577854 0.006541447 0.003775815 0.0041164244 0.0031469977 0.0033129356 0.0035982323 0.004919913 0.0035312749 0.0031469977 0.0031266194 0.0029927045 0.0034526729 0.00334787 0.0029286584 0.0033449586 0.0029432143 0.0034177385 0.003455584 0.0038107494 0.0032605343 0.0030771291 0.0034905183 0.0029956158 0.0028355003 0.003426472 0.002954859 0.0029403032 0.0032780012 0.003318758 0.0038602396 0.0042648953 0.0037874598 0.0032925573 0.0039825095 0.003228511 0.0028092996 0.0032314223 0.004381343 0.0031557314 0.0028820792 0.0028442338 0.0033566034 0.0027772763 0.003411916 0.0029781486 0.0036913904 0.0029723262 0.003915552 0.003979598 0.0035749427 0.0041513587 0.0035574757 0.0028820792 0.0030975074 0.00359241 0.0037612591 0.0041688257 0.002998527 0.004215405 0.01075394 0.0038194829 0.0030334613 0.0034817846 0.0041630035 0.0042590727 0.0070130597 0.0046549947 0.002893724 0.0035138077 0.0030043493 0.003624433 0.0035836764 0.002829678 0.0034177385 0.0027801876 0.0035516534 0.0034002713 0.0030683954 0.0032314223 0.0034672287 0.0029082801 0.0035312749 0.0034963407 0.0039504864 0.0029082801 0.0032052216 0.0037408806 0.003015994 0.00351963 0.0029927045 0.0032925573 0.0035225414 0.0031615538 0.004969403 0.003930108 0.002861701 0.0030189052 0.004599682 0.0038747955 0.0035138077 0.0033362252 0.0035312749 0.003211044 0.0035312749 0.003243067 0.0041426253 0.0046549947 0.0037205024 0.0034060937 0.003999977 0.0039388416 0.0043027406 0.0037641702 0.00459386 0.0035108966 0.0037030352 0.0062066596 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.0546568 0.051002 0.054827843 0.05291273 0.05179436 0.0528601 0.055191863 0.05271391 0.051332396 0.0513821 0.0515356 0.05247854 0.05593598 0.050288584 0.051585305 0.05381327 1551.0 7.556415 11720.0 0.008105802 0.0065699657 0.006228669 0.005802048 0.005887372 0.006996587 0.0056313993 0.018430034 0.0067406143 0.005802048 0.0060580205 0.005119454 0.0061433446 0.0055460753 0.0193686 0.0045221844 0.0059726965 0.018259386 0.0064846417 0.008788396 0.005460751 0.0053754267 0.0061433446 0.0065699657 0.006313993 0.0067406143 0.0067406143 0.0061433446 0.0045221844 0.0064846417 0.0055460753 0.005119454 0.006399317 0.033361774 0.0059726965 0.0065699657 0.062627986 0.006911263 0.006313993 0.03609215 0.0061433446 0.034385666 0.005802048 0.005204778 0.006313993 0.008020477 0.0331058 0.018430034 0.035409555 0.006996587 0.0059726965 0.006911263 0.0059726965 0.005290102 0.006399317 0.0071672355 0.033959046 0.0068259384 0.0057167234 0.0055460753 0.005204778 0.005290102 0.0060580205 0.00947099 0.0059726965 0.009641638 0.0064846417 0.020477816 0.011177475 0.016808873 0.0070819114 0.009044369 0.0061433446 0.009641638 0.0068259384 0.01834471 0.009812287 0.009385666 0.022866894 0.009812287 0.019112628 0.005204778 0.009726962 0.00947099 0.012798634 0.0068259384 0.005460751 0.005887372 0.0061433446 0.005887372 0.0060580205 0.0053754267 0.005460751 0.018856656 0.006228669 0.018515358 6.1989026 0.0 0.0 0.0 9.0 343502.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 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 -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 -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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.39082605 0.012046185 0.0055807675 0.0035472196 0.002840648 0.0026309742 0.0016142004 0.002260455 0.0029411765 0.0010598575 0.0054256665 0.0011546415 0.0008099724 0.0011173023 0.00060891546 0.0051326975 0.004271025 0.0013097427 0.0008444393 0.00074965536 0.0007295496 0.0028722426 0.00045381434 0.00719784 0.0016314338 0.0011173023 0.00037339155 0.0005026425 0.00068933825 0.00051413145 0.00042221966 0.0010110295 0.0060173483 0.0074161305 0.0006519991 0.00044806986 0.00890108 0.0006491268 0.0003303079 0.00048253677 0.009136604 0.0008616728 0.00039924172 0.00074965536 0.00043658089 0.0011201747 0.00093922333 0.0006261489 0.0044088922 0.0013758042 0.0007467831 0.0035730698 0.000887523 0.00050838693 0.0005371094 0.0005457261 0.0021139707 0.0012609145 0.002013442 0.0009794347 0.00049689796 0.00043658089 0.00030732996 0.0010627297 0.0058995862 0.0030991498 0.0009622013 0.0015309054 0.003822955 0.0048713237 0.0006606158 0.0007123162 0.025488282 0.0034380744 0.0005658318 0.0006175322 0.0048856847 0.0029871324 0.00069221045 0.0010253906 0.002521829 0.00040785846 0.0006950827 0.0014533547 0.0014016544 0.001752068 0.00078699447 0.0019129136 0.0012838924 0.00040785846 0.0003963695 0.0007036994 0.0019617418 0.0008157169 0.0005170037 0.0010167739 0.002225988 0.0036046645 0.00041647517 0.0021024817 0.0024069394 0.005471622 0.0019588694 0.0015079274 0.0016831342 0.0040757125 0.00021254596 0.0003647748 0.0023178998 0.0013355928 0.0045036767 0.004578355 0.0028578814 0.0002814798 0.005727252 0.0027315028 0.0066233915 0.002628102 0.0008559283 0.0012925091 0.001361443 0.0011000689 0.00033892464 0.0004710478 0.00090188417 0.00043658089 0.00041647517 0.0008961397 0.0034782859 0.0009047564 0.00052274816 0.0042566634 0.0011230469 0.0030014936 0.0007123162 0.00026137408 0.0007582721 0.007347197 0.007407514 0.01252585 0.0005026425 0.0059627756 0.0001953125 0.00023265166 0.0017693015 0.00025850185 0.00020105699 0.00033892464 0.00031020222 0.00024414062 0.0001953125 0.00019244026 0.00045094208 0.00021829044 0.0001608456 0.00013786765 0.00047392002 0.00020105699 0.0001608456 0.00037913604 0.0015423943 0.0003705193 0.00035328584 0.00039349723 0.0003504136 0.0002355239 0.00020105699 0.0003561581 0.00074391084 0.0001953125 0.00026999082 0.00020392923 0.0003504136 0.00015797335 0.00025275737 0.0004049862 0.0013413373 0.00015510111 0.00016659008 0.00018382353 0.0003705193 0.00017233456 0.0004911535 0.0005256204 0.0008071002 0.00047392002 0.0004710478 0.00032743567 0.00044806986 0.0002814798 0.00023265166 0.00033318016 0.0055836397 0.0012953815 0.0048224954 0.0018382353 0.0016027114 0.00028435202 0.0005198759 0.0024615119 0.0014935662 0.0018525965 0.00035328584 0.0007209329 0.0039694393 0.00026999082 0.00047392002 0.0006807215 0.0014763328 0.0004107307 0.00078125 0.00061178766 0.00020105699 0.00025275737 0.00083007815 0.0005457261 0.007858456 0.000580193 0.0004107307 0.0005371094 0.00031307444 0.00020105699 0.00022116269 0.00036764707 0.00234375 0.00022977941 0.0002900965 0.0003504136 0.00030158547 0.00019818475 0.0002154182 0.0007582721 0.004041245 0.0012580423 0.00045668657 0.0013844209 0.001634306 0.00030445773 0.000295841 0.0003303079 0.0028837316 0.00040785846 0.00046243105 0.00044232537 0.0003504136 0.00024414062 0.0006519991 0.0007582721 0.0015452666 0.00045668657 0.00046817554 0.00025850185 0.0011374081 0.00039349723 0.0038890166 0.18769819 0.005827687 0.0 0.0 0.0 0.0 0.0 4.465109e-05 2.7366796e-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 0.0027640464 2.448608e-05 3.0247511e-05 1.0082504e-05 8.642146e-06 7.2017883e-06 1.7284292e-05 1.2963219e-05 1.4403577e-06 2.1605365e-05 5.7614307e-06 1.4403577e-06 4.321073e-06 0.0 2.3045723e-05 1.7284292e-05 0.024618594 4.1770374e-05 1.7284292e-05 2.8807153e-06 3.6008943e-05 1.872465e-05 2.7366796e-05 1.872465e-05 2.5926438e-05 1.1522861e-05 1.2963219e-05 3.0247511e-05 1.7284292e-05 5.7614307e-06 8.642146e-06 0.007554676 0.077123955 0.00038025444 0.0002448608 0.00017860436 0.00047675837 0.0002347783 0.00023621866 0.00012963219 0.00038457548 0.00021029222 0.00022613615 0.00013107255 0.00033560334 0.00018868686 0.00021029222 0.037302382 0.07168372 0.0005214095 0.0006438399 0.0003874562 0.00066976633 0.00018868686 0.0007216192 0.000591987 0.0006366381 0.00020165008 0.00023621866 0.00022325544 0.0019041528 0.00019300793 0.00046523553 0.044625163 0.051168706 0.001026975 0.001143644 0.00047531803 0.00054589554 0.00020165008 0.00053869374 0.00054013415 0.0008267653 0.000197329 0.00020453079 0.00018868686 0.003491427 0.00047675837 0.0006366381 0.03273213 0.048757546 0.0030492372 0.003933617 0.00042058443 0.001103314 0.0012761569 0.003511592 0.002392434 0.0027654867 0.00032408047 0.00026646617 0.00025782402 0.00091606745 0.0019416021 0.00048396018 0.02299531 0.06723302 0.0055122487 0.012300654 0.0015166966 0.0018393367 0.0018753457 0.0056649265 0.0031947133 0.004547209 0.0007403438 0.0007389035 0.0007216192 0.000809481 0.0059832456 0.001381303 0.036383435 0.023414453 0.0012387076 0.0030017053 0.0038673603 0.004316752 0.0024774151 0.017570924 0.0082921395 0.0006193538 0.00027654867 0.00029527332 0.00019444828 0.00033992442 0.0007100963 0.00043930908 0.0037420492 0.008341111 0.0007115367 0.00046379518 0.0006769681 0.0007417842 0.0008368478 0.0018667035 0.001219983 0.0002549433 0.00019444828 0.00028663117 0.00019300793 0.00016996221 0.000217494 0.00053293235 0.0009909661 0.0054920837 0.00032840154 0.00050124445 0.00041050193 0.0006769681 0.00037881406 0.0008843796 0.00056317984 0.00043066693 0.0001670815 0.00053005165 0.00014691649 0.00032984192 0.00017428328 0.00034136476 0.00044363015 0.0044967965 0.00086565496 0.0010817086 0.0006769681 0.0036095362 0.00052573055 0.00021317294 0.0004969234 0.002585442 0.00021317294 0.00010082504 0.00021605365 0.0010917911 0.00022757651 0.00053293235 0.0007648299 0.041947536 0.0088697225 0.013314666 0.009293187 0.044512812 0.0077750506 0.0037233245 0.008704081 0.033488315 0.001896951 0.0018652632 0.003253768 0.017285733 0.0041194228 0.007898921 0.01329018 0.004076212 0.0012070198 0.001598797 0.0022123894 0.0020841975 0.0013625784 0.0025465523 0.0017846031 0.0018134103 0.00054301484 0.00057326234 0.000551657 0.0009117464 0.00066544523 0.0007100963 0.00095783785 0.0025393507 0.000869976 0.0008872603 0.0010255347 0.000712977 0.00080371957 0.0011004333 0.00091750786 0.0008368478 0.0006409592 0.0009938468 0.00064239954 0.0006395188 0.00068705063 0.000708656 0.0007432246 1162.0 18.281412 21243.0 0.030457092 0.000706115 0.0006119663 0.00028244598 0.013934001 0.00037659463 0.00065904064 0.0010827096 0.0008944123 0.00023537166 9.414866e-05 0.0008944123 0.00056489196 0.013274961 0.008426305 0.002965683 0.012945441 0.015346232 0.005837217 0.009085346 0.0035305747 0.0035305747 0.003012757 0.0026832367 0.0045191357 0.007249447 0.028762415 0.0008002636 0.0015534529 0.00084733794 0.0010356352 0.0013180813 0.0049428046 0.019582922 0.0016946759 0.009509015 0.0070140753 0.019065104 0.0046132845 0.0048015816 0.011109542 0.011015394 0.0005178176 0.00075318926 0.005884291 0.009179494 0.0029186085 0.007955561 0.0052252505 0.00065904064 0.0036247235 0.009650238 0.008190934 0.009273643 0.006260886 0.01586405 0.0049428046 0.00075318926 0.0016476016 0.000988561 0.0033422774 0.0025420138 0.004142541 0.007861413 0.00056489196 0.046368215 0.00282446 0.025184767 0.024196206 0.069199264 0.012098103 0.019112179 0.00739067 0.05173469 0.00028244598 0.0018829732 0.02532599 0.016287718 0.055924304 0.056347974 0.012568846 0.00028244598 0.062891304 0.025420139 0.05564186 0.011909805 0.003860095 0.011533211 0.0054606223 0.0072023724 0.0011768582 0.00037659463 0.0024949396 0.00018829732 0.00014122299 0.0010827096 5.5261817 2.0 10.0 0.0 4.0 348160.0 360448.0 1.0 0.0 163.0 1.0 1.0 1.0 0.0 0.0 272686850.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 10.0 0.0 86016.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53760.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 188928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.785465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6259294 0.0 0.0 0.0 0.0 5.1309266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2753456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2579823 0.0 -0.076056816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53332.0 0.0 0.0 0.0 0.0 4416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -85564.0 0.0 188840.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 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 -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 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 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 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 840.0 136608.0 189000.0 163840.0 4416.0 151552.0 11776.0 336384.0 416.0 356352.0 84.0 110928.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 91328.0 0.0 0.0 1632.0 91584.0 160.0 135848.0 0.0 0.0


Input: 0.060808588 0.0039576106 0.0031713306 0.0034275996 0.004237177 0.0038353004 0.0044410275 0.0030286352 0.004044975 0.004059536 0.0039139283 0.0031305603 0.0032324856 0.0040507996 0.0037770574 0.003022811 0.003223749 0.0039692596 0.0032557829 0.0034072145 0.0034916669 0.003689693 0.0044177305 0.0030897902 0.003436336 0.0035004034 0.0032645192 0.0030373717 0.003104351 0.0032907287 0.0045982837 0.0029383586 0.0033518837 0.0032091883 0.003025723 0.0033431472 0.0041323397 0.003928489 0.0033868295 0.003474194 0.0038993678 0.004135252 0.0035382612 0.0033693565 0.003083966 0.0038178277 0.0046914723 0.0029354463 0.0032878164 0.0037712331 0.0035848557 0.0032353979 0.0039517866 0.0029267098 0.0030169867 0.0038964555 0.0033897418 0.0031538575 0.0037945304 0.0030752295 0.0034101268 0.0029791286 0.0032703436 0.0037333753 0.0054573677 0.004085745 0.0029995136 0.0029966016 0.0053059356 0.012120365 0.0028014875 0.004027502 0.0032528706 0.0039110165 0.0030198987 0.0038294762 0.003552822 0.005375827 0.004044975 0.0033897418 0.0064911805 0.0037770574 0.0035790314 0.003669308 0.0030519324 0.0045371284 0.00367222 0.0034217753 0.0040304144 0.0033810053 0.0031596818 0.0029820409 0.003727551 0.0032936407 0.0030956145 0.004435203 0.0036460108 0.0039896443 0.0034683696 0.0035178761 0.0035237006 0.003418863 0.0031363848 0.0029849529 0.0034246875 0.004208056 0.003730463 0.0037450239 0.0036547473 0.0035411734 0.0036576593 0.0041323397 0.0034887546 0.0036780445 0.003145121 0.0039517866 0.0034246875 0.003844037 0.0033314987 0.0033664445 0.003101439 0.0032936407 0.0038353004 0.003025723 0.0037799696 0.0030373717 0.0028772035 0.0032324856 0.0054602795 0.0036401865 0.0031305603 0.0052593416 0.003570295 0.0032645192 0.0029907771 0.004333278 0.0032616071 0.0039488743 0.0035790314 0.0065406873 0.0033402352 0.004545865 0.0035790314 0.0028801155 0.0048924107 0.0036198015 0.003960523 0.0040100296 0.0039896443 0.0029936894 0.0034508968 0.003782882 0.002929622 0.0037741454 0.003378093 0.0029878651 0.003025723 0.003375181 0.0032616071 0.003512052 0.0034916669 0.0029966016 0.0032674314 0.0029936894 0.0033868295 0.0029412706 0.0028451697 0.002888852 0.0034275996 0.0038294762 0.0029237978 0.004583723 0.003121824 0.0027985754 0.0032412221 0.0027985754 0.00394305 0.004449764 0.0033140257 0.004138164 0.003785794 0.0036401865 0.0029791286 0.0029791286 0.0041236035 0.0042692106 0.0034829304 0.0031130875 0.0040071174 0.0032878164 0.003124736 0.0028830278 0.0030985267 0.003162594 0.0037624969 0.0033052894 0.0038615097 0.0033489715 0.010757479 0.0033897418 0.0043274537 0.0039110165 0.0037362874 0.0042604744 0.0057165488 0.0029237978 0.0033256745 0.003081054 0.003436336 0.0036227135 0.0035790314 0.002830609 0.0038498612 0.0027811024 0.003552822 0.00296748 0.0035004034 0.0032324856 0.0030344594 0.0037712331 0.004391521 0.0034974911 0.0030868782 0.0033402352 0.0036401865 0.0028772035 0.0043099807 0.0039517866 0.0047176816 0.0041556368 0.0035237006 0.003162594 0.005402037 0.003063581 0.003727551 0.0034508968 0.0037362874 0.0043041566 0.003512052 0.0029063248 0.004394433 0.0036430988 0.0043973452 0.0045371284 0.00327908 0.0033606202 0.0037188146 0.0042692106 0.003570295 0.003940138 0.003436336 0.0033344107 0.0041614613 0.00394305 0.0032703436 0.006208702 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.0533937 0.052697826 0.054409735 0.052503392 0.049262315 0.05328698 0.051797286 0.05143619 0.053010676 0.05392584 0.04942459 0.055431616 0.0525414 0.051978562 0.05540384 0.053807423 1551.0 7.556415 11720.0 0.008105802 0.0065699657 0.006228669 0.018430034 0.005887372 0.006996587 0.0056313993 0.018430034 0.0067406143 0.005802048 0.0060580205 0.005119454 0.0061433446 0.0055460753 0.031996585 0.0045221844 0.0059726965 0.0056313993 0.0064846417 0.008788396 0.005460751 0.0053754267 0.0061433446 0.0065699657 0.006313993 0.0067406143 0.0067406143 0.0061433446 0.0045221844 0.0064846417 0.0055460753 0.005119454 0.006399317 0.033361774 0.0059726965 0.0065699657 0.062627986 0.006911263 0.006313993 0.03609215 0.0061433446 0.034385666 0.005802048 0.017832765 0.01894198 0.008020477 0.0331058 0.005802048 0.035409555 0.006996587 0.018600682 0.006911263 0.0059726965 0.01791809 0.006399317 0.0071672355 0.033959046 0.0068259384 0.0057167234 0.0055460753 0.005204778 0.005290102 0.0060580205 0.00947099 0.0059726965 0.009641638 0.0064846417 0.007849829 0.011177475 0.016808873 0.0070819114 0.009044369 0.0061433446 0.022269625 0.0068259384 0.0057167234 0.009812287 0.009385666 0.010238908 0.009812287 0.0064846417 0.005204778 0.009726962 0.022098975 0.012798634 0.0068259384 0.005460751 0.005887372 0.0061433446 0.005887372 0.0060580205 0.0053754267 0.005460751 0.006228669 0.006228669 0.005887372 6.1854 0.0 0.0 0.0 9.0 343389.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 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 -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 -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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.06736465 0.014945058 0.011501096 0.006998368 0.015204083 0.007016356 0.0061094067 0.0057856245 0.009326721 0.0069059106 0.0062385597 0.0046606623 0.007784439 0.0044807834 0.0047998885 0.0044728685 0.007289412 0.005401403 0.00430738 0.0043084593 0.005667984 0.004631162 0.0039677685 0.0045646066 0.004840181 0.003355101 0.0033202046 0.0028374097 0.004268166 0.0025276581 0.0026798358 0.0036026144 0.008098148 0.0059838514 0.0046081375 0.0034328087 0.005496739 0.0042174403 0.0041120313 0.0044505633 0.0048757973 0.0035533276 0.0044005574 0.0033846013 0.003912366 0.0029323858 0.0032723567 0.0032428566 0.0050240173 0.003641828 0.0041282205 0.002561835 0.0037044259 0.0029460564 0.0027805679 0.0029597273 0.0037781761 0.0037130602 0.0025251398 0.0020164424 0.0038019202 0.0019290212 0.0021934432 0.0031158621 0.008524461 0.005984571 0.005784905 0.005241671 0.0056352457 0.005928089 0.0043286057 0.003959854 0.005493501 0.0050358893 0.004416746 0.0027604215 0.0051531703 0.0035731143 0.0042142025 0.0047031133 0.005943558 0.00396561 0.004700955 0.0047836993 0.006710562 0.0041577206 0.003546852 0.0037278102 0.0041987333 0.0025312558 0.0025298167 0.002487725 0.0041285804 0.002251724 0.002343822 0.004304142 0.0048171566 0.006240718 0.003470943 0.0044102706 0.0051869876 0.0053949277 0.0028636719 0.0030457093 0.0033971928 0.004521076 0.0028956905 0.0022912973 0.006272377 0.0035353398 0.0046451925 0.0054431353 0.0046660583 0.0026147196 0.005513288 0.0040123784 0.0044343746 0.003120539 0.0022466874 0.0028208608 0.0030439105 0.003274875 0.0017207215 0.0016901421 0.0028712268 0.001627904 0.0018606673 0.0033058142 0.006761288 0.0045487774 0.004210965 0.0031716246 0.0051654023 0.003966689 0.0032831496 0.0034594308 0.0045728814 0.0032353017 0.0032831496 0.0033108508 0.0035774314 0.0031532769 0.0023078462 0.0027496286 0.0075081447 0.0031500391 0.0047581564 0.0024517493 0.0036501025 0.0037047856 0.0023934685 0.002853239 0.003056862 0.0027014213 0.0021941627 0.0022135896 0.0030028983 0.0020657291 0.002188047 0.0030985938 0.0042724833 0.0031745026 0.0030457093 0.002858995 0.003924238 0.0029532516 0.0026873907 0.0029309466 0.0039458233 0.0033414303 0.002960087 0.0027892021 0.003310491 0.0024783714 0.0024280052 0.0027881227 0.0039217197 0.0025496033 0.0022384129 0.002149193 0.0029640445 0.002328712 0.0022560412 0.0026406222 0.0034396441 0.0027881227 0.002443115 0.0017588558 0.0029302272 0.0015645867 0.001794112 0.0029769957 0.0049466696 0.0031266548 0.0026017684 0.0022179068 0.0035741935 0.0023078462 0.0021858884 0.002443115 0.005151012 0.004148727 0.0018844112 0.0019689545 0.0023650476 0.0016789896 0.0014998302 0.002558957 0.0032198322 0.0021999187 0.002179053 0.0018552709 0.0031291733 0.0021797724 0.0019703934 0.0022772667 0.0024956397 0.0019452103 0.0018121 0.0019491677 0.0022492057 0.0017790023 0.0015746598 0.0026175976 0.0036799624 0.0021315648 0.0020387473 0.0018261306 0.00568849 0.0019074357 0.0014987509 0.002278346 0.0022474069 0.0018304476 0.0017915937 0.0017775632 0.002208553 0.0015793367 0.0014343542 0.0023276329 0.0026917078 0.0017394288 0.00289641 0.001757057 0.0020811989 0.0016009221 0.0013929821 0.002076522 0.002226181 0.0020473816 0.001212024 0.001488318 0.0024992374 0.0018984418 0.0034025891 0.018004797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003050993 6.533214e-05 0.00021345432 0.00015190172 0.00013066428 0.00012364512 3.1676187e-05 2.0157575e-05 2.4297076e-05 1.8897726e-05 2.1957358e-05 1.9617639e-05 1.7817856e-05 0.00012004556 2.5196969e-05 1.8897726e-05 0.0010280363 2.6816773e-05 7.2171315e-05 7.973041e-05 6.8571746e-05 3.581569e-05 1.5118181e-05 1.31384195e-05 5.3813525e-05 8.279004e-06 8.638961e-06 6.8391773e-06 6.8391773e-06 3.3295993e-05 7.919047e-06 9.358874e-06 0.0007029954 3.0776297e-05 0.00012868452 3.8335387e-05 3.0236362e-05 2.6816773e-05 1.4038311e-05 1.31384195e-05 2.9876404e-05 1.5118181e-05 1.1878571e-05 1.2238527e-05 1.3498376e-05 1.7097942e-05 1.2058549e-05 8.998917e-06 0.00013318397 0.0 4.57145e-05 0.00013984318 0.00022083343 0.00015172175 4.5894478e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026890205 0.0013937523 0.0011191054 0.0011937964 0.0066849357 0.003797003 0.01163794 0.004479301 0.0005620724 0.00037939436 0.00042006947 0.0005701714 0.00042852844 0.00047064337 0.0004621844 0.0077010933 0.034606777 0.0033479573 0.0024126098 0.0025290558 0.010280723 0.0060206354 0.010518295 0.004529335 0.001222053 0.0011405228 0.0012632681 0.0013338195 0.0011248647 0.0010535932 0.0011606803 0.008498938 0.03265617 0.0068431366 0.005217932 0.005111385 0.005296943 0.0052641868 0.0047082333 0.004910529 0.0050822287 0.0051333425 0.004730731 0.003790164 0.0030713305 0.0030247162 0.0031773378 0.0033454376 0.0025670312 0.0007843456 0.00049800007 0.00057305105 0.0005512737 0.0006274045 0.0005392151 0.00052337704 0.00065458124 0.00041431014 0.00044166687 0.00034051904 0.000316042 0.00033206004 0.00033421977 0.00045498525 0.00052895636 0.00015298159 0.00028616557 0.00023631156 0.00016629999 0.00018969718 0.00018753743 0.00015550129 0.00022047348 0.00018015833 0.00014812218 0.000118785705 0.00015010194 0.00011734588 0.00016486016 0.0003140622 0.081235744 0.05493695 0.059971124 0.040774453 0.057326704 0.046093713 0.040756278 0.034195527 0.05292569 0.04371602 0.04286184 0.03456322 0.039545383 0.030271817 0.03090858 0.02867847 21424.0 9.151839 196069.0 0.010338197 0.0081246905 0.0053756586 0.004258705 0.007007737 0.005554167 0.0044372133 0.006303903 0.0058754827 0.004427013 0.005135947 0.003723179 0.0048299325 0.0034120642 0.005543967 0.004095497 0.008833625 0.010001581 0.0078084758 0.004952338 0.005028842 0.004131199 0.0033100592 0.0038812866 0.0044372133 0.0062273997 0.004406612 0.0020757997 0.0035905726 0.0021727046 0.002601125 0.00373848 0.03032606 0.026970098 0.013877767 0.025098307 0.015642453 0.028908191 0.0166268 0.008823425 0.007890079 0.02514931 0.0054317615 0.0036874774 0.019503338 0.013592154 0.0187077 0.023568233 0.018671999 0.0067221234 0.018768903 0.0228695 0.025536928 0.011072633 0.009644564 0.0063447054 0.0070536393 0.0041005975 0.0029734431 0.0028153355 0.007629967 0.0024634185 0.002723531 0.016927714 0.0051410473 0.03867006 0.008231796 0.019911358 0.012816916 0.031672522 0.005130847 0.0062222993 0.005717375 0.022588987 0.003906788 0.0034375654 0.023960952 0.011735665 0.023160214 0.03512029 0.011113434 0.0035395701 0.028709281 0.019248325 0.019809352 0.010955327 0.004279106 0.003906788 0.005635771 0.0046922257 0.002514421 0.0019431935 0.0030907486 0.0017289831 0.002101301 0.0035446705 6.129254 2.0 1.0 0.0 29.0 2779648.0 15130624.0 0.0 0.0 15.0 0.0 1.0 0.0 0.0 0.0 1481126400.0 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 3.0 99.0 4.0 0.0 4.0 0.0 2002944.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2000896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8721604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0445766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2002944.0 0.0 0.0 0.0 0.0 0.0 13086720.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 860.0 15128652.0 34892.0 15093760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.15555246 0.013585312 0.0076150023 0.007607859 0.009747976 0.005031566 0.00489836 0.0038268308 0.011328377 0.0029603627 0.00275236 0.00275236 0.0069590583 0.0027107594 0.0030368404 0.007462467 0.0065812916 0.00255024 0.0019770768 0.0019485027 0.0037898526 0.0047000223 0.0019182478 0.0015535075 0.0031238233 0.0017535264 0.00204431 0.0014871147 0.0025498199 0.0013837437 0.0012942394 0.0015413215 0.005013077 0.0013829033 0.0015379599 0.0013312177 0.0041684597 0.0019434602 0.0011265766 0.001358111 0.0023048387 0.0013614726 0.0010269874 0.0031608017 0.001789244 0.0011244756 0.0013181913 0.0010555616 0.0019783375 0.001301383 0.0012097778 0.0059354324 0.0018258021 0.001550566 0.0012656653 0.0011156512 0.0020573365 0.0039461697 0.0012215435 0.004942062 0.002172053 0.0019140457 0.0012858353 0.0019396783 0.0039533135 0.0023998057 0.0026456271 0.0024762836 0.0054105935 0.012450332 0.003922638 0.0025376338 0.004066349 0.0021905424 0.0019178275 0.0018182384 0.0023527425 0.007683076 0.0028767413 0.0019741354 0.009879502 0.0036789177 0.0027813541 0.004292841 0.0027031957 0.009038666 0.0062249554 0.0049109664 0.0036852208 0.0043520904 0.0028494278 0.0037692622 0.0018909343 0.0047147293 0.0037478318 0.002920443 0.0017379787 0.0020859106 0.0016085547 0.0017497445 0.0022640787 0.0031654239 0.0022233184 0.0014619023 0.004144928 0.002090953 0.005604729 0.0012097778 0.0022699616 0.0014988806 0.0020636397 0.0021375963 0.002876321 0.0012337295 0.002641005 0.002224159 0.009949676 0.012127192 0.0022560947 0.0016728465 0.0023695508 0.0015295558 0.0010845559 0.0011866663 0.0020014488 0.0040550036 0.002244749 0.001546364 0.0026733608 0.0021506227 0.0010034558 0.009950517 0.0032679546 0.00837894 0.002564527 0.0012354103 0.0024603156 0.013407985 0.0014963594 0.037843477 0.0016648626 0.011421663 0.0023556838 0.0011206937 0.0030990313 0.0010761517 0.0012576814 0.0014232432 0.0018669824 0.0012719685 0.0011530496 0.00086268625 0.0015493055 0.0012085171 0.00095597235 0.00092571735 0.0015345982 0.0010790932 0.0013375209 0.0011135502 0.0016560382 0.0015640127 0.0010765719 0.0011257362 0.0016925962 0.003086425 0.0010677476 0.0008727712 0.0015753583 0.0011068268 0.0009521905 0.0009811848 0.0015165292 0.000961435 0.0012358306 0.0012173415 0.0019266519 0.0009963122 0.00096941896 0.0012723886 0.0016946973 0.0014732479 0.0023187057 0.0013967701 0.0031213022 0.001412738 0.0010404341 0.0014623225 0.0017644517 0.0014362696 0.0022493713 0.0015324972 0.007830149 0.0034078837 0.0035709243 0.0042289696 0.002867917 0.0013442441 0.0033440122 0.0041579544 0.003606642 0.0027859765 0.0012144 0.0020737245 0.0056517925 0.0014039136 0.0035503341 0.002139277 0.0025611655 0.0016060335 0.0015266143 0.001363994 0.0017463828 0.00085344166 0.0013026436 0.0014471951 0.0026178935 0.0017358777 0.0010748911 0.0018972374 0.0023552638 0.0014925775 0.0010778325 0.0012383518 0.0030633134 0.0014203017 0.0011261564 0.0011248958 0.0027187432 0.00226702 0.00163923 0.0018207596 0.01687722 0.0032498857 0.00094588735 0.00445252 0.0064632134 0.0010139609 0.0010500988 0.0012417135 0.004746245 0.0026010852 0.0018342063 0.0020447304 0.0026830256 0.0012034746 0.0029107782 0.0023023174 0.0046479166 0.002139277 0.0018085736 0.0020581768 0.0058648377 0.0026040266 0.00410795 0.0793041 0.0054995227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0930101e-05 0.0 8.3236926e-05 2.522331e-06 0.0012124005 5.4650504e-06 8.4077703e-07 2.1019426e-07 8.4077703e-07 0.0 6.3058275e-07 4.2038852e-07 0.0 0.0 0.0 0.0 2.4382533e-05 1.2611655e-06 1.282185e-05 3.215972e-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 0.0054694647 6.347866e-05 0.000121912664 0.000121912664 0.00014061996 0.00014061996 0.00011770878 0.00011182334 6.263789e-05 1.6605347e-05 0.00014671558 5.4440312e-05 1.24014605e-05 2.1019425e-05 0.0003186545 0.00039810792 0.0026158674 2.1019425e-05 1.7446124e-05 1.0509712e-05 1.7866512e-05 1.3662627e-05 6.95743e-05 3.7834965e-05 5.2338368e-05 3.9096132e-05 5.2758758e-05 0.000100893245 9.731994e-05 0.00016374132 0.00012653694 7.356799e-06 0.005872617 0.00021334717 0.00011644762 4.645293e-05 0.00012590636 0.00026253262 0.00015302142 9.269566e-05 8.4287894e-05 0.00014040976 8.4287894e-05 4.897526e-05 6.326847e-05 4.75039e-05 9.563839e-05 0.001162164 0.017541341 0.0006068308 0.0006150284 0.00022764038 0.00036826034 0.0018553847 0.00047314726 0.00030814478 0.00030625303 0.0005401992 0.00021250639 0.00017887531 0.00017067774 0.000212086 0.00031003653 0.0027632136 0.008950912 0.0005792954 0.0004796633 0.00023709911 0.00048155503 0.0013208607 0.00083278964 0.0004281657 0.00011749859 0.0001607986 0.00018518114 0.00024172339 0.00010593791 8.449809e-05 0.00024403553 0.0014776656 0.0068821805 0.00090572704 0.00089143385 0.0003871778 0.0013118223 0.0007165522 0.0029130823 0.0013839189 0.00015155006 0.000120861696 0.0001391486 0.000115396644 0.00013389374 0.00015827628 0.00019253793 0.0016765094 0.008897313 0.0014400409 0.0009254853 0.00073336775 0.0021082484 0.0010816596 0.0018312123 0.0009780339 0.00033189674 0.00022028357 0.00025034134 0.00018959522 0.00025433506 0.00021229619 0.00022848115 0.0027022574 0.024235398 0.0031686784 0.0022793466 0.0026158674 0.0058469735 0.0031970546 0.0042721983 0.002299525 0.001148081 0.00082774495 0.0010049387 0.00092800765 0.0012737772 0.00080357265 0.00076636823 0.009043187 0.023409754 0.003086072 0.0021837081 0.0025141335 0.007865889 0.0047619506 0.004011137 0.0032502338 0.0040746154 0.0013811864 0.0015651064 0.0018509706 0.002882604 0.001682605 0.0018965828 0.009347549 0.079301246 0.01284434 0.008552384 0.0117130745 0.018581592 0.027310539 0.008622589 0.01800503 0.050787766 0.006517283 0.0057399846 0.00907871 0.023217637 0.007911712 0.020709598 0.0505555 0.05148498 0.010002304 0.0073685697 0.0098520145 0.016249066 0.023770237 0.006994214 0.017034141 0.03859482 0.004539355 0.0052786083 0.006168571 0.017863778 0.0076519116 0.018466195 0.036339432 0.0063871727 0.007255065 0.007446972 0.007202937 0.007583178 0.007025533 0.0070177554 0.0070740874 0.0073132887 0.0072048283 0.007024902 0.00710898 0.0070770304 0.0069340984 0.007031208 0.007389589 5492.0 11.255463 61815.0 0.03083394 0.0022809997 0.0021515812 0.0025398366 0.006762113 0.0068915314 0.0016177304 0.0025398366 0.0035104747 0.0028472054 0.0019250991 0.0035104747 0.00287956 0.0026854323 0.010790261 0.0022001131 0.0049502547 0.0037693116 0.0033648792 0.0031869288 0.0032839926 0.002070695 0.001763326 0.002248645 0.003138397 0.009285772 0.0029119146 0.0036560704 0.0029766238 0.0031869288 0.002086872 0.009415191 0.020367226 0.020108389 0.010385829 0.026741082 0.011971205 0.011113808 0.013993368 0.008234248 0.009204886 0.012294751 0.0029766238 0.003203106 0.009463723 0.013831594 0.006034134 0.008816631 0.018328885 0.0065356307 0.010207878 0.016387608 0.012763892 0.006292971 0.01583758 0.013362452 0.0047884816 0.0031869288 0.0021030493 0.0040119714 0.005613524 0.0037693116 0.0049340776 0.010984389 0.0028148508 0.033939984 0.010337297 0.019315701 0.019267168 0.056377903 0.009447545 0.011453531 0.013443339 0.030122139 0.0048693684 0.0060503115 0.027307289 0.013540403 0.034457657 0.040653564 0.016161125 0.0024265954 0.03592979 0.021904068 0.054258674 0.020124566 0.005435574 0.0061473753 0.008476906 0.0072474317 0.0027501415 0.0019412764 0.002297177 0.002086872 0.0027824962 0.0015206665 5.9706974 2.0 5.0 0.0 7.0 2379776.0 4628480.0 1.0 0.0 576.0 0.0 1.0 0.0 0.0 0.0 1419991900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1425920.0 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 303104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1425920.0 0.0 2820608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.363675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.700505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.594323 0.0 7.0091686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 302998.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1425410.0 0.0 2820124.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -3.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 3.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 3.0 1.0 2.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 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 -1.0 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 -1.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 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 -3.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 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 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -3.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 1723732.0 2820124.0 1806336.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 1436960.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1632944.0 0.0 0.0 2372.0 1433600.0 0.0 0.0 0.0 0.0