Input: 0.1640625 0.024473412 0.012948895 0.014416437 0.014243784 0.007726174 0.018603247 0.004791091 0.0041436465 0.0067334254 0.0062154694 0.0037120166 0.0022013122 0.0067334254 0.0036256907 0.00246029 0.0037983425 0.0025466161 0.0018991713 0.009668509 0.0022876381 0.002676105 0.0032372237 0.002244475 0.002244475 0.0020286602 0.002244475 0.0015538674 0.0030645719 0.004532113 0.0032372237 0.00246029 0.01027279 0.0023308012 0.002244475 0.002935083 0.0020286602 0.0018991713 0.0020286602 0.0018991713 0.0020718232 0.0015538674 0.0039709946 0.0037120166 0.0019423342 0.0033235496 0.0089779 0.00738087 0.027883288 0.013121547 0.005611188 0.0030214088 0.0031940609 0.0031077347 0.002978246 0.0039709946 0.0032803868 0.002848757 0.0028919198 0.0014675414 0.0015107044 0.0018128454 0.0018560083 0.0016401934 0.0020286602 0.0048774173 0.002373964 0.0061291438 0.0034098758 0.002848757 0.0028919198 0.0019854973 0.0038846685 0.002676105 0.0015970304 0.0016401934 0.0018991713 0.005136395 0.002676105 0.0020286602 0.0033667127 0.0012085636 0.0034098758 0.0062586325 0.0038846685 0.00984116 0.0023308012 0.002762431 0.0017265193 0.0015107044 0.0025466161 0.0013812155 0.0020718232 0.0018560083 0.0012948895 0.0031508978 0.0019423342 0.008891575 0.0039709946 0.012474102 0.0065176105 0.014071133 0.0060428176 0.005050069 0.0046616024 0.01691989 0.0012948895 0.002589779 0.0068197516 0.008934737 0.009927486 0.024602901 0.0066902624 0.0014675414 0.016704075 0.01273308 0.020286603 0.0041868095 0.0022876381 0.0037551795 0.0022013122 0.0037551795 0.0016833564 0.0013380524 0.0013812155 0.0014243785 0.0015538674 0.0013812155 0.002676105 0.002762431 0.008287293 0.0012948895 0.0012517265 0.0013812155 0.0070355665 0.0009064227 0.0012948895 0.0015970304 0.0013380524 0.0010790746 0.0011654006 0.0015107044 0.0011654006 0.0013812155 0.0017265193 0.0011654006 0.0015538674 0.0014675414 0.0013380524 0.0020286602 0.0017265193 0.0014243785 0.0018991713 0.0013812155 0.0016833564 0.0018128454 0.0012517265 0.0013380524 0.0018560083 0.0012085636 0.0031508978 0.0020286602 0.0012085636 0.0018560083 0.0013812155 0.0013812155 0.0010790746 0.0016401934 0.0015107044 0.0015107044 0.0013812155 0.0010790746 0.0016833564 0.0012948895 0.0015538674 0.0018560083 0.0015107044 0.0017696823 0.0018991713 0.0017265193 0.0012517265 0.0011654006 0.0011654006 0.00086325966 0.0015107044 0.0010359116 0.0012948895 0.0014243785 0.0011654006 0.0016401934 0.0012085636 0.0014675414 0.0015970304 0.0015970304 0.0013812155 0.0018560083 0.0010359116 0.0013812155 0.0010790746 0.0007769337 0.0014243785 0.0014243785 0.0015107044 0.0014675414 0.0015107044 0.0014675414 0.0013812155 0.0015970304 0.0012948895 0.0018560083 0.0019423342 0.0015107044 0.0013380524 0.0011222375 0.0014243785 0.0012085636 0.0013812155 0.0011222375 0.0012085636 0.0017265193 0.0009064227 0.0015970304 0.0013380524 0.0014243785 0.0012517265 0.0014675414 0.0016833564 0.0012085636 0.0014243785 0.0012517265 0.0013812155 0.0012948895 0.0013812155 0.0020286602 0.0010790746 0.0011654006 0.0016833564 0.0015538674 0.0014243785 0.0012948895 0.0014675414 0.0012948895 0.0016401934 0.0012085636 0.0016833564 0.0012948895 0.0011654006 0.0031508978 0.0012948895 0.0011654006 0.0013380524 0.0012948895 0.0011654006 0.0014675414 0.0010790746 0.0023308012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.033993676 0.00016276042 0.0012090774 0.0016043527 0.0011625744 0.0005812872 0.006045387 0.0026971726 2.3251489e-05 2.3251489e-05 6.975447e-05 2.3251489e-05 2.3251489e-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 0.054757256 0.00044177828 0.0034412201 0.004092262 0.003952753 0.002766927 0.016671317 0.007579985 0.00018601191 0.00013950893 0.00025576638 0.0002092634 0.00011625744 0.00011625744 0.00018601191 0.00032552084 0.024042038 0.0011393229 0.001999628 0.0005812872 0.00218564 0.0013718378 0.00827753 0.005998884 0.00088355655 0.00013950893 0.00013950893 0.00016276042 0.00027901787 9.3005954e-05 0.00016276042 0.00016276042 0.026088169 0.0016508556 0.0019763764 0.0035342262 0.0012555803 0.0013485863 0.004464286 0.0023251488 0.0010463169 0.00051153277 0.00062779017 0.0005347842 0.00055803574 0.0005812872 0.0004185268 0.00069754466 0.019856771 0.0009300595 0.0022088913 0.0020228794 0.0022553944 0.001999628 0.0089053195 0.0048828125 0.0006045387 0.00067429314 0.0006045387 0.0003952753 0.0005347842 0.00055803574 0.0006510417 0.0005347842 0.0108584445 0.0011625744 0.0026041667 0.0017671131 0.0029296875 0.0017206101 0.013044084 0.00874256 0.0011625744 0.00062779017 0.00062779017 0.00025576638 0.0006045387 0.00051153277 0.00055803574 0.00044177828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.065592445 0.021809896 0.02220517 0.034435455 0.017554874 0.019438244 0.040899366 0.026274182 0.015857514 0.010718936 0.0107421875 0.009370349 0.009812128 0.009370349 0.009161087 0.0100911455 0.055454798 0.021623883 0.022739956 0.032714844 0.017252604 0.01953125 0.03980655 0.026925223 0.016438803 0.011974516 0.012393043 0.011044457 0.010602678 0.011207217 0.011742001 0.011881511 271.0 19.516605 5289.0 0.025146531 0.0015125732 0.0007562866 0.0026470032 0.0026470032 0.0018907166 0.0020797881 0.0018907166 0.0009453583 0.0018907166 0.0009453583 0.0015125732 0.0007562866 0.008130081 0.020230668 0.021365097 0.047078844 0.0353564 0.016449234 0.00567215 0.0047267913 0.00567215 0.005104935 0.006239365 0.006617508 0.006617508 0.006050293 0.0003781433 0.000567215 0.00113443 0.0013235016 0.0007562866 0.0015125732 0.013424087 0.0020797881 0.019474382 0.00567215 0.00567215 0.00340329 0.0013235016 0.0013235016 0.002836075 0.00113443 0.0015125732 0.0013235016 0.015882019 0.0035923615 0.0026470032 0.006617508 0.000567215 0.008886368 0.01247873 0.0069956514 0.0007562866 0.0009453583 0.0054830783 0.0013235016 0.0009453583 0.0047267913 0.00018907165 0.00226886 0.0007562866 0.000567215 0.0052940063 0.0013235016 0.022310456 0.00907544 0.039515976 0.017205521 0.040272262 0.018907165 0.012100586 0.012100586 0.05615428 0.0003781433 0.0047267913 0.01607109 0.02628096 0.029306106 0.0847041 0.02174324 0.0009453583 0.055208925 0.039515976 0.07146908 0.010588013 0.00340329 0.009642655 0.0018907166 0.00680658 0.0003781433 0.0 0.00113443 0.0 0.000567215 0.000567215 5.4363728 2.0 21.0 0.0 2.0 23168.0 32768.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534806500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 48.0 0.0 4.0 0.0 4.0 0.0 3072.0 512.0 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 -3072.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8088894 0.0 3.5224893 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 -2844.0 0.0 2840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 10946.0 2840.0 16384.0 0.0 0.0 16000.0 7168.0 12.0 24576.0 28.0 10768.0 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: 0.40064538 0.038213316 0.03405231 0.013077445 0.0067085596 0.006793478 0.013926631 0.0107846465 0.0062839673 0.0028872283 0.016134512 0.002632473 0.0018682065 0.004500679 0.001613451 0.00050951086 0.0035665762 0.004245924 0.0057744565 0.0062839673 0.0020380435 0.0069633154 0.0015285326 0.002462636 0.004076087 0.0010190217 0.0009341033 0.0022927988 0.0018682065 0.0014436141 0.0050101904 0.0018682065 0.0075577446 0.0018682065 0.0011039402 0.0014436141 0.0028872283 0.0011039402 0.0036514946 0.00050951086 0.0034816577 0.00084918475 0.0044157607 0.00050951086 0.0012737772 0.0010190217 0.008152174 0.00067934784 0.00390625 0.0022927988 0.002122962 0.00084918475 0.0012737772 0.0018682065 0.0014436141 0.0011039402 0.0017832881 0.002122962 0.0015285326 0.00016983696 0.003736413 0.00050951086 0.0023777173 0.00067934784 0.002462636 0.0051800273 0.0014436141 0.004840353 0.002632473 0.0038213315 0.002122962 0.0018682065 0.0009341033 0.0044157607 0.00050951086 0.0005944293 0.0011888586 0.0009341033 0.0012737772 0.001613451 0.00084918475 0.00033967392 0.0013586957 0.004670516 0.0038213315 0.00067934784 0.0011888586 0.00042459238 0.00025475543 0.0007642663 0.00042459238 0.0018682065 0.0005944293 0.00025475543 0.00025475543 0.0029721467 0.001953125 0.010275136 0.005095109 0.009341032 0.003226902 0.027428668 0.0012737772 0.0039911685 0.0016983695 0.0107846465 0.0007642663 0.0011888586 0.0106997285 0.0075577446 0.01171875 0.015625 0.0028872283 0.0011888586 0.017663043 0.0126528535 0.021824049 0.009086277 0.0012737772 0.00050951086 0.0012737772 0.004670516 0.0009341033 0.004245924 0.0012737772 0.003736413 0.0005944293 0.00025475543 0.0017832881 0.00084918475 0.00016983696 0.00025475543 0.00016983696 0.00084918475 0.00067934784 0.0 8.491848e-05 0.00016983696 8.491848e-05 0.00016983696 0.00050951086 0.0005944293 0.00042459238 0.0 8.491848e-05 0.004076087 0.00016983696 0.00025475543 0.00025475543 8.491848e-05 0.0009341033 8.491848e-05 0.00033967392 8.491848e-05 0.00033967392 0.0009341033 0.00084918475 8.491848e-05 0.0022078804 0.00025475543 0.00042459238 8.491848e-05 0.00025475543 0.00042459238 0.0 0.00025475543 0.00042459238 0.00016983696 0.00033967392 0.0 0.0 0.00042459238 0.0013586957 0.00050951086 8.491848e-05 0.00016983696 0.00042459238 0.00033967392 0.00042459238 8.491848e-05 0.001953125 0.0 0.00025475543 0.0007642663 0.00025475543 0.0011888586 0.00033967392 0.00016983696 0.00016983696 0.00016983696 0.00067934784 0.00050951086 0.00067934784 0.0007642663 0.00025475543 0.00025475543 0.00016983696 0.00016983696 0.00050951086 0.00033967392 0.00025475543 0.00025475543 0.00016983696 0.00050951086 0.00016983696 0.00016983696 0.00042459238 0.00084918475 0.00025475543 8.491848e-05 0.00016983696 0.00084918475 0.00016983696 0.00016983696 0.0 0.00025475543 0.00016983696 0.00025475543 0.00016983696 0.00042459238 0.0011888586 0.0013586957 0.00025475543 0.00042459238 0.0005944293 0.0012737772 0.0005944293 8.491848e-05 0.00050951086 0.00050951086 0.0007642663 0.0 0.00025475543 8.491848e-05 8.491848e-05 8.491848e-05 0.00050951086 0.0 0.0 0.0005944293 0.00033967392 0.00025475543 8.491848e-05 0.00050951086 8.491848e-05 8.491848e-05 0.00042459238 0.002122962 0.00033967392 8.491848e-05 8.491848e-05 0.00025475543 8.491848e-05 0.00042459238 0.0011888586 0.0015285326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07329102 0.0049804687 0.003125 0.0013183594 0.0026855469 0.0012207031 0.0089355465 0.0037597655 0.0001953125 9.765625e-05 0.0 9.765625e-05 0.0 4.8828126e-05 4.8828126e-05 0.0001953125 0.13608399 0.013085937 0.013720703 0.009375 0.004003906 0.001171875 0.00390625 0.010986328 0.0012207031 0.0004394531 0.000390625 0.00048828125 0.00048828125 0.0018554687 0.00024414062 0.0025390624 0.07490234 0.0057128905 0.007714844 0.007421875 0.011621093 0.0063476562 0.047021486 0.029101562 0.0014160157 0.0019042969 0.00083007815 0.00083007815 0.0009765625 0.00092773436 0.0016601563 0.0016113281 0.1796875 0.021728516 0.011914062 0.0056640627 0.008300781 0.0059082033 0.016796876 0.014208985 0.0034179688 0.009570313 0.003515625 0.0053710938 0.0039550783 0.0028808594 0.003515625 0.0035644532 0.037744142 0.0016113281 0.003515625 0.003125 0.005957031 0.0041503906 0.025878906 0.013623047 0.0005371094 0.00014648438 0.0005371094 0.0012207031 0.0005859375 0.0004394531 0.0007324219 0.0001953125 0.01845703 0.010205078 0.0029296875 0.003076172 0.005957031 0.0037597655 0.030859375 0.02080078 0.0005859375 0.000390625 0.00034179687 0.0005859375 0.0006347656 0.0005371094 0.0005371094 0.00034179687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 153.0 16.215687 2481.0 0.006045949 0.00040306328 0.0 0.0016122531 0.0036275694 0.0 0.0 0.0 0.00040306328 0.00040306328 0.0 0.0 0.0 0.00040306328 0.027811367 0.00040306328 0.004030633 0.0064490126 0.0036275694 0.0012091899 0.0016122531 0.0024183798 0.00040306328 0.0016122531 0.0 0.0 0.0 0.0 0.008867392 0.0 0.008867392 0.0 0.00040306328 0.018943975 0.0012091899 0.017331721 0.0064490126 0.010882708 0.0052398224 0.0052398224 0.00040306328 0.014913341 0.0 0.00040306328 0.0016122531 0.0032245063 0.0032245063 0.004433696 0.0012091899 0.0 0.0048367595 0.017331721 0.008867392 0.0016122531 0.0012091899 0.0012091899 0.0 0.0 0.0016122531 0.0 0.0 0.0 0.0 0.011285772 0.007658202 0.03788795 0.021362353 0.039097138 0.010882708 0.11930673 0.0048367595 0.012494962 0.005642886 0.04433696 0.0012091899 0.004030633 0.043530833 0.030632809 0.04917372 0.054816607 0.010076582 0.00040306328 0.07053608 0.043530833 0.09512293 0.039903264 0.005642886 0.0012091899 0.004030633 0.019347038 0.0 0.0 0.0 0.0 0.0 0.0 4.924062 0.0 0.0 0.0 1.0 11776.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1362347300.0 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 8.0 0.0 4.0 0.0 4.0 0.0 9728.0 512.0 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 -9728.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.536791 0.0 2.4397914 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 -9252.0 0.0 1024.0 0.0 0.0 0.0 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 83.0 17352.0 1024.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.123172686 0.008583225 0.009825946 0.007423231 0.0069232015 0.007162186 0.004048032 0.0037557357 0.011302136 0.0021343168 0.002071813 0.0016986293 0.0063312547 0.0031454056 0.0019137155 0.007419554 0.0071971146 0.0015662686 0.0014853815 0.001702306 0.004524163 0.0026086094 0.0014467763 0.0011416113 0.004013104 0.0015295018 0.0011213894 0.0013934643 0.0033384317 0.001338314 0.001397141 0.0014302311 0.0042906934 0.0010625625 0.0014541297 0.0013879493 0.016760178 0.0024983087 0.0013640508 0.0011030061 0.0025736808 0.003956115 0.0050701513 0.0056381994 0.0024964705 0.0013438291 0.0013346373 0.001273972 0.004138111 0.0025369138 0.002220719 0.006858859 0.0033365933 0.004821975 0.00270788 0.002612286 0.003935893 0.0034303488 0.0024505118 0.0050333845 0.0029799547 0.0024339666 0.0023677864 0.002698688 0.0042778254 0.00214167 0.0017170127 0.0018990088 0.009460115 0.0184441 0.0030112066 0.0141386995 0.002612286 0.0013603742 0.0015350168 0.0011765398 0.003886258 0.0061308756 0.0014486146 0.0016287722 0.0071162274 0.0028439173 0.0015111183 0.0030112066 0.0025718424 0.0045131333 0.003334755 0.003297988 0.0020993883 0.0040314873 0.0015570769 0.0016857609 0.003923025 0.0058110035 0.0028770075 0.0022133654 0.0028108272 0.0022795459 0.0015699452 0.0018475351 0.0033255632 0.0038182393 0.0027538384 0.0012960321 0.0033421083 0.0015552385 0.0053918613 0.0029450261 0.0023935232 0.0012500735 0.0016508324 0.0019670276 0.002581034 0.0010827843 0.0027372935 0.0021986587 0.008678819 0.008706395 0.0018034149 0.0015975204 0.0022924142 0.0014706748 0.0012224984 0.0015350168 0.0021379935 0.002558974 0.0017574563 0.0018769486 0.0036583035 0.0016103889 0.0011985999 0.009535488 0.0036656568 0.011857315 0.00123169 0.0011544797 0.002259324 0.0106568765 0.0015589152 0.02793363 0.0016802459 0.010985941 0.0011048444 0.0010827843 0.0016820843 0.001145288 0.0011140361 0.0014375845 0.0015129567 0.0018861403 0.0011305813 0.0009927055 0.0018438585 0.0015681069 0.0009541002 0.0009007883 0.0016195806 0.002590226 0.0010607241 0.0013456674 0.0024063915 0.0017905465 0.0010460174 0.0015460468 0.0016618625 0.0017335579 0.0010129273 0.00096696866 0.0019118772 0.0010441791 0.0010294723 0.0011489646 0.0017905465 0.00088424317 0.0009908671 0.0021214483 0.0020736514 0.0009945438 0.0010644009 0.0011379346 0.0025295606 0.0023990383 0.0020901966 0.0015570769 0.0032740897 0.0010846226 0.0011747015 0.0011636714 0.0018861403 0.0018420201 0.0015460468 0.0011691864 0.00759052 0.005518707 0.0037796341 0.0035535179 0.003908318 0.0011673481 0.0036068298 0.0049102153 0.005899244 0.0030847404 0.001450453 0.001273972 0.0024449967 0.0013309607 0.0014136861 0.0011581563 0.0029082594 0.0015883287 0.0018273133 0.0013640508 0.0023935232 0.001022119 0.0016453174 0.0011783781 0.0034671158 0.001579137 0.0014596446 0.0015809754 0.012065048 0.0153373 0.002799797 0.0024541884 0.005162068 0.0012537502 0.0012978704 0.0010570475 0.0030038531 0.0014780281 0.0012243367 0.0010938144 0.013412554 0.0043329755 0.0012831637 0.0037557357 0.005255824 0.0010607241 0.0011066827 0.0013107389 0.0045995354 0.0014100095 0.0014927349 0.0014283928 0.0031858492 0.0017960615 0.0036913936 0.0022832225 0.0058863754 0.0017170127 0.001450453 0.003827431 0.00795635 0.0041491413 0.007948997 0.0652759 0.00754717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064480766 8.4758256e-05 6.725383e-05 0.00024690447 6.264741e-05 0.00021834463 6.725383e-05 5.1591982e-05 5.619841e-05 3.224499e-05 3.593013e-05 3.3166274e-05 4.3300413e-05 3.224499e-05 3.5008845e-05 3.224499e-05 0.0014814269 6.264741e-05 5.5277123e-05 4.606427e-06 6.0804836e-05 3.8693986e-05 9.949882e-05 5.619841e-05 5.5277123e-06 1.8425708e-06 2.7638562e-06 3.6851416e-06 9.212854e-07 9.212854e-07 9.212854e-07 1.1055425e-05 0.012448408 0.0002902049 0.00023861292 0.00012437353 0.0010880381 0.00033534787 0.0002644089 0.0002524322 0.00016767393 0.00021650207 0.00013450766 0.00010779039 9.765625e-05 0.0001133181 9.212854e-05 0.0010097288 0.013522627 0.00040168042 0.00074716244 0.00069096405 0.0017117482 0.00018978478 0.00090285967 0.0005352668 9.949882e-05 0.00028467717 8.936468e-05 8.4758256e-05 7.186026e-05 9.857753e-05 6.725383e-05 0.0012566332 0.004308852 7.6466684e-05 8.752211e-05 0.0001446418 0.00040997198 0.00017965065 0.0006172612 0.00042563386 8.2915685e-05 6.541126e-05 7.923054e-05 8.4758256e-05 0.000106869105 0.00013358638 7.55454e-05 0.0006688532 0.010582805 0.00034456074 0.00076558813 0.00043116155 0.0015597361 0.00070846843 0.0032770121 0.0020719708 0.00034916715 0.00021650207 0.00035469487 0.0003602226 0.0003021816 0.00033258402 0.00028007076 0.0007047833 0.0074043707 0.00036390772 0.00039891657 0.0009360259 0.0010650059 0.00032429246 0.0011110702 0.00094339624 0.000371278 0.00027914948 0.00036759287 0.00043853183 0.00058870134 0.00043208283 0.00055829895 0.0013985112 0.012030144 0.0014215433 0.0016518647 0.018989535 0.002201872 0.0017485997 0.0017375442 0.0018637603 0.0017439933 0.0017900575 0.0018619178 0.0018527049 0.0021152713 0.002328088 0.0022691258 0.004771337 0.011842202 0.0011884582 0.0017449145 0.0014740566 0.0028956 0.0020010318 0.0023934995 0.0023612545 0.008898695 0.0012630823 0.0009268131 0.0017854511 0.0028126843 0.0028762529 0.002725162 0.018848578 0.03846827 0.0070026903 0.009481869 0.0066912957 0.016179614 0.011423939 0.0057838294 0.009209169 0.026806641 0.003238318 0.0024294294 0.0049694134 0.012032908 0.011875369 0.011042527 0.03845906 0.06550339 0.01480782 0.026824145 0.012467755 0.03686339 0.023974609 0.012494472 0.015318212 0.042185657 0.0045050853 0.0059257075 0.006333837 0.023331553 0.02566701 0.019046653 0.0402224 0.014915611 0.011156766 0.011530808 0.012375627 0.010807599 0.011283903 0.011363134 0.011142947 0.010540426 0.010892357 0.010852742 0.010927366 0.010646374 0.010858269 0.010920917 0.010917231 2154.0 10.302228 22191.0 0.019377224 0.0026587355 0.0050921543 0.005182281 0.013158488 0.0037853185 0.0050921543 0.0053625344 0.0076157 0.004776711 0.003920508 0.0051372177 0.0076607633 0.004416205 0.0065341806 0.006489117 0.022126088 0.019692669 0.015997477 0.023072416 0.020999504 0.019737732 0.018340768 0.019196972 0.021900771 0.020188365 0.015997477 0.019467352 0.0179352 0.015817223 0.015997477 0.015997477 0.0072101303 0.00734532 0.004145825 0.008607093 0.010499752 0.005632914 0.0064440537 0.007795953 0.007931143 0.0052273446 0.0035600017 0.004326078 0.008697219 0.0065341806 0.004551395 0.0066693705 0.0136541845 0.0055427877 0.0070749405 0.011491145 0.009463296 0.005407598 0.007029877 0.010680005 0.0068045603 0.004731648 0.0041007614 0.0052724076 0.007255194 0.0050921543 0.0048217745 0.006579244 0.0084268395 0.016763553 0.006624307 0.01482583 0.015411654 0.032535713 0.008562029 0.008246587 0.009823803 0.014915957 0.00923798 0.004866838 0.017800009 0.008697219 0.0154567165 0.02108963 0.010995449 0.0053625344 0.021810643 0.017349375 0.030958496 0.0119417785 0.006308864 0.00788608 0.00775089 0.0062187375 0.005002028 0.005002028 0.0073002568 0.004731648 0.003740255 0.005452661 6.335846 0.0 9.0 0.0 7.0 543968.0 557056.0 0.0 0.0 194.0 1.0 1.0 1.0 0.0 0.0 1540940500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 345600.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345600.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8680835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3125715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9711485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621152 0.0 5.4292016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345151.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 485884.0 16064.0 512000.0 0.0 0.0 5984.0 537984.0 20876.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 469736.0 0.0 0.0 808.0 352256.0 0.0 0.0 0.0 0.0


Input: 0.1430689 0.02541937 0.008812646 0.0093775205 0.020007439 0.0028745632 0.002397436 0.003415507 0.011856722 0.0041979225 0.0016231635 0.0017079196 0.008407146 0.00090256997 0.0012319557 0.026688052 0.007542799 0.0010955149 0.0008256247 0.0008169829 0.0058732694 0.00069284 0.00079238694 0.0006586052 0.0038997803 0.0016682006 0.0005956197 0.00063700066 0.0055814423 0.00049341377 0.000968713 0.0024511148 0.0039609377 0.00065229 0.00034052032 0.00034550598 0.07649775 0.0018019824 0.0014431813 0.000496239 0.0028168957 0.0055985595 0.0004232822 0.0013408092 0.0037522048 0.0005080384 0.00043774061 0.0003637867 0.0034573865 0.006044111 0.00046150558 0.00089409435 0.00398088 0.0003335404 0.00028983282 0.00040267484 0.0029576574 0.003932353 0.00038256604 0.0015098229 0.0039413273 0.000626697 0.00044006726 0.00048510436 0.004234484 0.0014415194 0.0014819033 0.001984125 0.022094768 0.0018232545 0.0015837768 0.0016342981 0.003311473 0.0004915857 0.0007819171 0.00073737855 0.009195545 0.00073322386 0.00085487386 0.00076496584 0.003191817 0.0013800296 0.0005590583 0.0018136156 0.010891831 0.0013801958 0.0013487862 0.0011443743 0.002683114 0.00052631914 0.0006419863 0.0012485745 0.007510891 0.0012686834 0.0013416401 0.0012397665 0.002003403 0.00026905924 0.0002886695 0.0002798615 0.0015553585 0.00026590168 0.004662087 0.00023216539 0.0015934157 0.00088711444 0.0004088238 0.000525322 0.004499721 0.00029132853 0.00048045107 0.0005361242 0.0019935977 0.00061124144 0.00066508655 0.00075914926 0.009501996 0.0020501018 0.0009416243 0.000553574 0.0019680047 0.00053130474 0.00054908695 0.0005859808 0.0063960985 0.000577339 0.001177612 0.0010930221 0.0036312197 0.00459046 0.00079222076 0.014614787 0.009861794 0.009021379 0.0011053199 0.0010863745 0.004273871 0.053714465 0.00049574045 0.045108557 0.0040101297 0.012429906 0.0015289346 0.001023389 0.0044039963 0.0003177525 0.00039852012 0.00083908596 0.0047425223 0.0011671422 0.00048676625 0.0005289781 0.0012469126 0.00025044614 0.00025875555 0.00036910476 0.0037666634 0.0005936255 0.00035348302 0.00035049164 0.0010519734 0.00025759224 0.0001696785 0.00020540904 0.0008429083 0.00026640022 0.00023166683 0.00022601642 0.00097536057 0.00027736867 0.00022468691 0.0003973568 0.0026546959 0.00024213671 0.0002394777 0.0019965891 0.0010597843 0.00040583243 0.0002452943 0.00047330497 0.0026222891 0.00049374613 0.0068939994 0.003364487 0.0020672192 0.0010870392 0.0008021921 0.000981011 0.002472387 0.0007589831 0.0010672628 0.0020095517 0.006758888 0.009932756 0.003746887 0.0033968939 0.0018621426 0.0011481966 0.0026173033 0.012879114 0.0036594716 0.0020589097 0.0029533366 0.001397978 0.0010744089 0.0006891839 0.0013712216 0.00082495995 0.0036639587 0.00464497 0.001998251 0.0040099635 0.0006139005 0.00078657037 0.000795046 0.0013389811 0.0029191019 0.0046808664 0.0023030408 0.0021102622 0.0012768266 0.0014847284 0.0015050034 0.0010400079 0.002488175 0.0021730813 0.002144497 0.0012291304 0.0005441013 0.0005856484 0.000989819 0.00074186566 0.009502827 0.0064087287 0.002365694 0.0026239508 0.0015058344 0.00091004843 0.0010182372 0.0010162429 0.0022297518 0.0015787912 0.0012711762 0.0011334058 0.0009547532 0.00068403204 0.0019442397 0.0033016677 0.0035388188 0.002928242 0.0031015768 0.0023442556 0.0015990662 0.0020120447 0.010890667 0.030715132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00029147274 3.523936e-05 1.8284575e-06 8.31117e-08 6.1835104e-05 1.0804521e-06 8.31117e-08 6.648936e-07 3.9893616e-06 0.0 0.0 5.8178193e-07 7.770944e-05 6.648936e-07 6.648936e-07 3.4740693e-05 0.00017503324 1.2051197e-05 1.43783245e-05 1.1635639e-06 4.9035905e-05 2.8257978e-06 3.656915e-06 1.9115691e-06 3.1998006e-05 8.31117e-07 0.0 2.2107713e-05 2.3021941e-05 6.648936e-07 4.986702e-07 1.2466755e-06 0.00013372673 3.4574467e-05 3.814827e-05 0.0 4.1389627e-05 3.2413564e-06 0.0 0.0 6.5658246e-06 0.0 0.0 3.324468e-07 5.0116356e-05 3.324468e-07 3.324468e-07 3.1665557e-05 0.0013468252 7.0063164e-05 0.0001895778 1.6705451e-05 0.00016564163 6.989694e-05 8.693484e-05 3.6984708e-05 0.0004446476 0.00010172872 5.460439e-05 9.890293e-05 0.00014785572 0.00010172872 3.964428e-05 9.2087765e-05 0.016009973 0.0011299036 0.0038649435 0.00058277923 0.0016733711 0.0011893285 0.0007078624 0.0007982879 0.007078873 0.0014312667 0.00068301195 0.0015643284 0.0019199634 0.0015131317 0.0007614694 0.0014744847 0.062005237 0.0059253657 0.017876163 0.0045688166 0.008508477 0.005663564 0.0030413065 0.0042696144 0.033319317 0.004979305 0.0021860872 0.005319232 0.010163564 0.0065969913 0.006281084 0.011806516 0.17544822 0.023864778 0.07023271 0.021815408 0.037952542 0.027338099 0.012871177 0.021804024 0.11433253 0.012316655 0.0066883313 0.017442487 0.038861535 0.02350374 0.026056018 0.050322805 0.016539894 0.0035219416 0.0085722245 0.0031559176 0.004700216 0.0039072474 0.0020658246 0.003042387 0.012083028 0.0012461769 0.0006489362 0.002355635 0.00513007 0.0034533744 0.0031074635 0.006469664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7884.0 5.9252915 46715.0 0.0136358775 0.00087766245 0.000856256 0.0019051697 0.1849727 0.0016268864 0.0005993792 0.0004067216 0.011901959 0.0055870707 0.0008348496 0.02397517 0.017381998 0.0005779728 0.0009846945 0.0005779728 0.01498448 0.0034892433 0.0014342288 0.0044097183 0.013336187 0.0010917265 0.0008134432 0.0005565664 0.013614471 0.051482394 0.0014128224 0.030589746 0.01855935 0.0060794177 0.0010489136 0.0007278176 0.012801028 0.0028042386 0.002290485 0.0029326768 0.059338544 0.0023975167 0.0029112704 0.002183453 0.010746013 0.0018837632 0.00074922404 0.0016268864 0.037461203 0.0028256448 0.0041956543 0.0030183024 0.012351493 0.0009204752 0.0015198544 0.004024403 0.045745477 0.0032537729 0.003895965 0.0021620465 0.008947875 0.000642192 0.0007064112 0.029647864 0.032901637 0.029776303 0.029904742 0.030011773 0.0059081665 0.0016482929 0.0007064112 0.0011345393 0.006571765 0.0010275072 0.005672696 0.00062078563 0.0046880017 0.0035962753 0.0009204752 0.0018623568 0.017638873 0.0010489136 0.001177352 0.001177352 0.0048806593 0.00044953442 0.0033608049 0.0034464304 0.034421492 0.0160548 0.0031467408 0.0032751793 0.0047950335 0.0007920368 0.000642192 0.00077063043 0.025730493 0.0032537729 0.015198545 0.0074708336 5.167717 0.0 0.0 0.0 2.0 6017262.0 18386944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1364837500.0 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 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 1.0 0.0 2.0 22.0 4.0 0.0 4.0 0.0 8819712.0 1024.0 4096.0 9.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 2765824.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -122368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8819712.0 -5632.0 0.0 0.0 0.0 0.0 -583168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2742214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 2765792.0 0.0 0.0 0.0 5536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6057840.0 0.0 0.0 -121956.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8819304.0 -5344.0 0.0 0.0 0.0 0.0 -583164.0 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 2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5344.0 18370560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 18382848.0 0.0 0.0 0.0 0.0 836.0 18371596.0 0.0 0.0 0.0 0.0


Input: 0.15059403 0.009549243 0.005845901 0.005554599 0.009378766 0.004315738 0.022000749 0.0039176806 0.013509957 0.003132324 0.0031885982 0.0030114998 0.007425718 0.003537002 0.0028120573 0.0059973453 0.0057358355 0.0019638056 0.0018835322 0.0011685182 0.0045838687 0.0024355163 0.001982012 0.0016700211 0.0037091349 0.0019307032 0.0017312607 0.0013406512 0.0027417145 0.00096824806 0.0010849343 0.001933186 0.0048354473 0.0017014684 0.0025853051 0.0014134767 0.0048188963 0.0014176145 0.0020027012 0.0012363783 0.001583127 0.0012678257 0.0013389961 0.0021980058 0.0022410392 0.0015458866 0.0014399587 0.0012901699 0.0021558001 0.0015839546 0.0017560875 0.0057052155 0.0027342665 0.0017469843 0.0010410736 0.0009889371 0.0024214478 0.0024975836 0.00094093854 0.0036056896 0.0015078188 0.0013820293 0.0013514095 0.0013191346 0.0036967215 0.0021591105 0.0027367491 0.0015955404 0.0035982416 0.014392138 0.0034352117 0.0017900176 0.0037049972 0.0026937157 0.007366961 0.0031596336 0.0036834804 0.015155979 0.0015442315 0.0011983104 0.009354766 0.0031215656 0.0017585702 0.00443408 0.0026283383 0.0053948797 0.004718761 0.0033756273 0.0019149795 0.004096434 0.000985627 0.0018206374 0.0017436742 0.0032564583 0.002680475 0.0017171921 0.0016203673 0.002530686 0.0012504469 0.001742019 0.0022882102 0.0051590246 0.002961846 0.0021533174 0.004382771 0.0028195053 0.005369225 0.0011205196 0.0025985462 0.001153622 0.002857573 0.0026316487 0.0022857275 0.0010733486 0.003370662 0.0032630789 0.009587311 0.010475285 0.0018198099 0.0020573202 0.0025654437 0.0012628604 0.00077956385 0.0009996955 0.001934841 0.0027715068 0.0013596851 0.0015740239 0.027186254 0.0021433868 0.0010750036 0.011795248 0.0035568634 0.0068149767 0.0008465964 0.0014689234 0.0031836329 0.010006885 0.0023858626 0.030181203 0.0024429644 0.017621288 0.0009831442 0.00079032214 0.0013207897 0.0008838367 0.0008052183 0.0017635357 0.0023163473 0.0010923825 0.0007141864 0.0006372231 0.0010170742 0.0010832793 0.0011130716 0.0007928048 0.0024752393 0.00089873286 0.00073487544 0.0008970777 0.0012107239 0.0018222926 0.0007969427 0.0009128014 0.0010750036 0.0020664234 0.0006943249 0.0012645154 0.0011892073 0.00083087274 0.0010857619 0.00067280827 0.0013017558 0.0016261602 0.0008159766 0.0006306026 0.0014565099 0.0014556823 0.0006504641 0.0007696331 0.0011660355 0.002199661 0.0016311256 0.0014722337 0.0041841557 0.000987282 0.0008093561 0.00082839 0.0017867073 0.0024471022 0.0011718285 0.000847424 0.0074422695 0.0031803225 0.0036851356 0.0052831587 0.0033739721 0.001159415 0.006757875 0.0032829402 0.0031025317 0.0022476597 0.0008846643 0.0016782967 0.0036421025 0.00088549184 0.004078228 0.0012148618 0.0017312607 0.0012074136 0.0013497544 0.0011610702 0.001271136 0.00079942535 0.003244045 0.0012206546 0.0026068217 0.0008556996 0.00068522175 0.0013406512 0.0015516796 0.0009152841 0.0025579955 0.001310859 0.0022575904 0.001199138 0.00089376746 0.00062563724 0.0020904227 0.001318307 0.0008970777 0.0026564754 0.019964945 0.0056812163 0.0009417661 0.0043000146 0.0051391628 0.00067777367 0.0007183242 0.002409862 0.004624419 0.0019431167 0.0009500417 0.0014954053 0.0020242177 0.002901434 0.0029312263 0.004146088 0.0040848483 0.0014647855 0.0012876872 0.0037240312 0.010733485 0.0036445851 0.0038465103 0.06880934 0.0016963528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008196002 1.2424459e-06 1.2424459e-06 1.2424459e-06 0.0 2.0707432e-06 8.282973e-07 0.0 1.6565946e-05 1.6565946e-06 2.0707432e-06 8.282973e-07 0.0 0.0 0.0 8.282973e-07 0.00078564 4.555635e-06 4.1414864e-06 8.282973e-07 1.2424459e-06 3.7273378e-06 2.0707432e-06 0.0 9.11127e-06 2.4848919e-06 5.798081e-06 1.8636689e-05 4.1414864e-07 8.282973e-07 6.6263783e-06 2.0707432e-06 0.0052625868 2.3192324e-05 7.4546756e-06 7.4546756e-06 1.0767864e-05 1.3252757e-05 9.11127e-06 5.798081e-06 0.0064271726 1.2424459e-05 1.6980095e-05 2.733381e-05 3.3131892e-06 2.8990405e-06 3.1475298e-05 1.3252757e-05 0.0016611503 6.6263783e-06 6.2122294e-06 4.9697837e-06 7.8688245e-06 4.555635e-06 1.20103105e-05 1.0353716e-05 0.0016031694 3.2717744e-05 1.0353716e-05 8.282973e-06 6.6263783e-06 8.282973e-06 5.383932e-06 4.1414864e-06 0.0013451548 5.9637405e-05 6.957697e-05 0.000256358 7.8688245e-06 9.773908e-05 4.1414864e-07 0.0 0.00053176685 3.4374338e-05 8.697121e-06 4.9697837e-06 3.7273378e-06 0.0 0.0 0.00012424459 0.020080825 0.0009749059 0.0012031018 0.0006166673 0.0015977855 0.00022405441 0.00023316569 0.00095585507 0.001947741 0.0006315767 0.00027250982 0.00017808392 0.0001524067 0.00015944723 0.00018346786 0.0036672861 0.04318245 0.001593644 0.0042036087 0.0010776147 0.0036710135 0.0011828085 0.004979309 0.0028982123 0.0017746269 0.0008531462 0.00032345008 0.00038681482 0.00039054218 0.0005719393 0.0005400498 0.004465765 0.019854287 0.00045473521 0.0017808392 0.0009376325 0.0020579046 0.000930592 0.0038134807 0.002407446 0.0012784769 0.0003072983 0.00019009423 0.00021991292 0.00025511556 0.00025387312 0.00041332035 0.0013165786 0.012499834 0.0006290918 0.0007247601 0.0007289016 0.0014089337 0.0011401512 0.003164924 0.0017882938 0.0029831126 0.00043982585 0.00059803063 0.00047834168 0.0004017242 0.0005781515 0.0005288678 0.0015932298 0.011367138 0.00040545152 0.0010494527 0.0008224992 0.0022074122 0.00096662296 0.0036283561 0.002195816 0.0025639941 0.0010361999 0.000908228 0.0009185817 0.0011579596 0.00088089413 0.0008241558 0.0021461183 0.009854252 0.00041621938 0.00092106656 0.0008258124 0.0010647762 0.00092562224 0.0012747495 0.0008009635 0.009593753 0.0018926593 0.0019382157 0.002304323 0.0037401763 0.0034038876 0.0027064614 0.0058349404 0.0138541 0.0020566622 0.0020972488 0.0018466888 0.0039605033 0.0032187633 0.0015692092 0.0020156614 0.00995075 0.001083827 0.0010453112 0.0019970248 0.0031135695 0.0015596838 0.002875434 0.010520618 0.0635743 0.014484021 0.009329527 0.011794125 0.031342354 0.023165405 0.010507779 0.016284324 0.049391367 0.0044566537 0.0046674553 0.007801318 0.02249407 0.006876938 0.024426486 0.05309344 0.042482954 0.011761822 0.007556142 0.009839757 0.020102775 0.017470032 0.009617774 0.0143233305 0.03063913 0.0039671296 0.0042085787 0.005756666 0.016526187 0.0058353543 0.015875146 0.032552913 0.005268799 0.0039799684 0.003944352 0.003967544 0.0045009675 0.0036685287 0.0037915308 0.0034896166 0.0038461986 0.0037973288 0.0037989854 0.0037662678 0.003674741 0.0036801249 0.0033802812 0.0033616445 4532.0 12.645852 57311.0 0.023171816 0.018792205 0.015686342 0.009143096 0.007450577 0.0015878278 0.025108619 0.011114795 0.00870688 0.0046587917 0.013697196 0.0069620144 0.017274171 0.015267575 0.008323009 0.007904242 0.005286943 0.00999808 0.0142555535 0.0025649527 0.019141177 0.012720071 0.004885624 0.007136501 0.011097346 0.0116731515 0.0025300554 0.0071539497 0.0034373854 0.007590166 0.0089162635 0.011132243 0.012632828 0.008829021 0.009003507 0.0069969115 0.024654953 0.007066706 0.008340458 0.0076774093 0.020100852 0.011516114 0.0035420775 0.011899984 0.0065606954 0.0086894315 0.0024777094 0.0065432466 0.012353649 0.0041527804 0.008113625 0.021636335 0.0076948577 0.012510687 0.012912006 0.011114795 0.0082881125 0.008427702 0.0032977962 0.0110450005 0.007223744 0.0038212559 0.0016925198 0.0038212559 0.0017448658 0.018687513 0.009177994 0.011481216 0.011760395 0.030884124 0.007188847 0.02507372 0.012929455 0.021252465 0.0044668564 0.0023032227 0.013400569 0.006054684 0.019874021 0.022159794 0.008427702 0.005339289 0.023381202 0.016209804 0.028947322 0.011551011 0.004623894 0.013452915 0.015773587 0.0051648025 0.0033501422 0.002704542 0.0075552687 0.0010469195 0.0025126066 0.0025126066 6.301512 0.0 10.0 0.0 9.0 1208368.0 1228800.0 1.0 0.0 332.0 0.0 1.0 1.0 0.0 0.0 1286311200.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 700416.0 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 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -700416.0 0.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9448423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5804095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.586544 0.0 6.572218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -700222.0 0.0 319340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -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 1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 -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 -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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 -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 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 863940.0 319340.0 909312.0 0.0 0.0 3320.0 1205048.0 0.0 0.0 28.0 706096.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 778144.0 0.0 0.0 1368.0 704512.0 64.0 863648.0 0.0 0.0


Input: 0.59765625 0.01586914 0.005126953 0.001953125 0.0036621094 0.001953125 0.00390625 0.0007324219 0.0034179688 0.0012207031 0.005126953 0.0009765625 0.0017089844 0.0034179688 0.0017089844 0.00024414062 0.0024414062 0.0012207031 0.0014648438 0.00048828125 0.00048828125 0.0009765625 0.0009765625 0.00048828125 0.00048828125 0.0012207031 0.0 0.0 0.0009765625 0.0009765625 0.00048828125 0.00048828125 0.017822266 0.0009765625 0.0053710938 0.0012207031 0.001953125 0.0007324219 0.00024414062 0.00048828125 0.0007324219 0.00024414062 0.00024414062 0.0 0.00024414062 0.001953125 0.009765625 0.0014648438 0.0068359375 0.0012207031 0.00024414062 0.0009765625 0.0017089844 0.00048828125 0.00024414062 0.0009765625 0.0021972656 0.00024414062 0.001953125 0.0 0.0029296875 0.0026855469 0.0029296875 0.0017089844 0.0029296875 0.0021972656 0.001953125 0.001953125 0.0031738281 0.0029296875 0.0024414062 0.0012207031 0.0007324219 0.0029296875 0.00024414062 0.00048828125 0.0017089844 0.001953125 0.0009765625 0.0012207031 0.0021972656 0.00024414062 0.0017089844 0.0031738281 0.0021972656 0.0007324219 0.001953125 0.0012207031 0.0 0.0 0.00024414062 0.00024414062 0.0021972656 0.0 0.0 0.0009765625 0.0007324219 0.010498047 0.0043945312 0.0078125 0.0041503906 0.024414062 0.0029296875 0.0036621094 0.0026855469 0.014404297 0.00048828125 0.0009765625 0.010253906 0.011230469 0.013916016 0.015625 0.006591797 0.0007324219 0.015625 0.017578125 0.015380859 0.005126953 0.0034179688 0.00024414062 0.0021972656 0.004638672 0.00024414062 0.0 0.0 0.0 0.00024414062 0.00048828125 0.0029296875 0.00024414062 0.0 0.0 0.00048828125 0.00048828125 0.0 0.0 0.0 0.00024414062 0.0 0.0 0.0 0.00024414062 0.0 0.0 0.0007324219 0.00024414062 0.00024414062 0.0 0.00024414062 0.00024414062 0.0 0.0 0.00024414062 0.0 0.0 0.0 0.00048828125 0.0 0.0 0.0 0.00024414062 0.0 0.00024414062 0.00024414062 0.00024414062 0.00024414062 0.0 0.0 0.0 0.0 0.0 0.0009765625 0.0 0.0 0.0 0.0 0.00024414062 0.0 0.0 0.0 0.00024414062 0.0 0.0 0.00024414062 0.00048828125 0.0 0.00024414062 0.00024414062 0.00024414062 0.00048828125 0.0 0.00024414062 0.0 0.0 0.0 0.0 0.00024414062 0.0 0.00024414062 0.0 0.0 0.0 0.0 0.0 0.0 0.00048828125 0.0 0.00024414062 0.00048828125 0.0 0.0 0.0 0.00024414062 0.0 0.00024414062 0.0 0.00048828125 0.0 0.0 0.0 0.00024414062 0.0 0.00024414062 0.0 0.00048828125 0.0 0.0 0.0 0.00024414062 0.0 0.00024414062 0.00024414062 0.00024414062 0.0 0.00024414062 0.0 0.0 0.0 0.00024414062 0.00048828125 0.00024414062 0.0 0.0 0.0 0.00048828125 0.0 0.0 0.0 0.00024414062 0.0 0.00024414062 0.0 0.00048828125 0.0 0.00048828125 0.0007324219 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.43245444 0.0087890625 0.028971354 0.018229166 0.01936849 0.0113932295 0.08544922 0.048339844 0.003092448 0.0016276041 0.0014648438 0.0017903646 0.00081380206 0.0013020834 0.0016276041 0.001953125 0.17220052 0.0045572915 0.015136719 0.012532552 0.0139973955 0.008951823 0.06591797 0.034505207 0.0016276041 0.00048828125 0.00048828125 0.0009765625 0.00016276042 0.00048828125 0.00081380206 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42.0 19.785715 831.0 0.06257521 0.0012033695 0.026474128 0.0036101083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008423586 0.025270758 0.0072202166 0.008423586 0.006016847 0.0012033695 0.0036101083 0.0012033695 0.0 0.0 0.002406739 0.0036101083 0.0012033695 0.0072202166 0.0 0.014440433 0.013237064 0.014440433 0.002406739 0.0012033695 0.006016847 0.0036101083 0.004813478 0.004813478 0.006016847 0.0036101083 0.0036101083 0.0 0.008423586 0.0 0.0 0.002406739 0.0072202166 0.0012033695 0.002406739 0.0036101083 0.0 0.004813478 0.0072202166 0.004813478 0.002406739 0.0012033695 0.0012033695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012033695 0.0012033695 0.034897715 0.013237064 0.031287607 0.016847173 0.08423586 0.010830325 0.009626956 0.009626956 0.048134778 0.0012033695 0.002406739 0.033694346 0.04693141 0.04572804 0.055354994 0.016847173 0.0036101083 0.04693141 0.06618532 0.0589651 0.02166065 0.015643803 0.0012033695 0.010830325 0.016847173 0.0 0.0 0.0 0.0 0.0 0.0 5.157914 0.0 0.0 0.0 1.0 4096.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541806200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 1536.0 512.0 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 -1536.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5768714 0.0 4.3331375 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 -1268.0 0.0 1240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 9364.0 1240.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 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: 0.17719936 0.012120638 0.017935874 0.007165394 0.010547586 0.0031922823 0.002745295 0.0029012207 0.013082781 0.001971263 0.0023035049 0.0016732046 0.004976634 0.0015272739 0.0013119762 0.0047971196 0.00738289 0.0014902916 0.0019366794 0.00086458895 0.0029695882 0.0016616101 0.00082760653 0.0008360026 0.0026683314 0.00065848697 0.0007240558 0.000833004 0.0029981746 0.0006303004 0.0006145079 0.0008010192 0.004040479 0.00069007196 0.0016394206 0.0005741271 0.0060555213 0.00076983403 0.00065788726 0.00059911516 0.0022307395 0.0006914713 0.0006322994 0.0010836849 0.001796346 0.00066968164 0.0027311016 0.0009061692 0.0041554244 0.0019032952 0.0018523195 0.007189982 0.002337089 0.0017957463 0.0016746039 0.0015246752 0.0025921676 0.0015910437 0.001789949 0.002927808 0.0034717496 0.0024084551 0.0026067607 0.0015178784 0.013141353 0.0030133675 0.0031213162 0.0056621083 0.005613331 0.018772675 0.003598889 0.0022109488 0.0037867997 0.0031938816 0.0016426191 0.0019842568 0.0037456194 0.0039259335 0.0019868554 0.0019698634 0.007105022 0.0026911206 0.003052349 0.00923441 0.0064947126 0.0094181225 0.004317947 0.0025048093 0.0020856084 0.004484068 0.0023129005 0.0037242295 0.0015652559 0.0034617542 0.0033152238 0.0022331383 0.0015466647 0.008193505 0.0017615625 0.0045060576 0.008211496 0.017496683 0.005502584 0.0025066084 0.005991152 0.006708611 0.0028404496 0.0017111865 0.009122463 0.0045106555 0.00793063 0.00795202 0.0038993463 0.00075004343 0.00833084 0.0076727523 0.017654806 0.0068313526 0.001548064 0.0014185256 0.0032692458 0.0028442477 0.0008320045 0.00090417016 0.0020284357 0.0022621246 0.0016604107 0.0010343083 0.0059797573 0.0016400203 0.0009429517 0.008390611 0.0048093135 0.0040752627 0.00082740665 0.0024260466 0.0036274756 0.011756411 0.0007392486 0.04815111 0.0024354423 0.007923633 0.00048616886 0.00064429373 0.0032210688 0.0005923184 0.00080341805 0.0007186583 0.0011428567 0.0007694342 0.00045618313 0.00044039064 0.0010143179 0.0004505858 0.00034863426 0.0006466926 0.002036032 0.0003830179 0.00043619264 0.00037682086 0.0012717954 0.0016670075 0.00033264185 0.0004467876 0.0012274164 0.0011384587 0.00048436972 0.0003874158 0.001194832 0.00038061905 0.00037222303 0.00036162807 0.0009725377 0.00037961954 0.0003634272 0.00046058104 0.0023266939 0.00060251355 0.001501886 0.00053674483 0.0011896344 0.00039361286 0.0014481116 0.00088098116 0.0025607827 0.0011898343 0.0018155369 0.0007532419 0.0013079782 0.00046897706 0.0008352029 0.0006640843 0.009040502 0.0009257599 0.0016440185 0.008748641 0.0036712547 0.0005045601 0.0035804978 0.0024352423 0.0019926527 0.0016314244 0.0010720904 0.00074624526 0.0015954415 0.0006994675 0.00080741616 0.0007328516 0.00241905 0.0010632945 0.002452634 0.0014343181 0.0018319291 0.0004505858 0.0014946894 0.00088038144 0.0036868472 0.0010279113 0.0010926805 0.0019956513 0.0019438759 0.0007920235 0.00078782544 0.0007132609 0.0021719674 0.00060191384 0.0007096626 0.00069426995 0.0020304348 0.0013997345 0.0006434941 0.0005429419 0.020048669 0.0030379558 0.000912966 0.0040496746 0.004244382 0.0006195055 0.0007316522 0.00082800636 0.005403831 0.00081861083 0.0012825902 0.0009251602 0.005109171 0.0006157073 0.0016246276 0.0010245129 0.0059755594 0.0011644465 0.0014748989 0.0013491586 0.009139256 0.0012228186 0.0020808107 0.039758697 0.0006137507 9.9975686e-08 3.9990275e-07 0.0 0.0002047502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003844065 1.969521e-05 1.6995866e-06 2.9992705e-07 2.9992705e-07 2.9992705e-07 2.9992705e-07 4.998784e-07 2.9992705e-07 4.998784e-07 1.9995137e-07 1.9995137e-07 1.9995137e-07 1.9995137e-07 1.9995137e-07 1.9995137e-07 0.00035741308 5.938556e-05 1.9995136e-06 4.5988814e-05 0.00034051717 3.799076e-06 1.9995136e-06 1.0997326e-06 1.3996596e-06 2.9992705e-07 6.998298e-07 7.998055e-07 5.998541e-07 5.998541e-07 8.997812e-07 1.4996352e-06 0.0003076252 0.00010187522 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033331892 4.428923e-05 5.09876e-06 4.798833e-06 2.3994164e-06 2.0994894e-06 2.599368e-06 6.998298e-07 5.998541e-07 2.599368e-06 4.998784e-07 4.998784e-07 5.698614e-06 3.9990275e-07 1.9995136e-06 1.899538e-06 0.00032532087 9.49769e-06 1.019752e-05 1.899538e-06 5.09876e-06 1.689589e-05 5.79859e-06 4.099003e-06 7.398201e-06 1.6995866e-06 1.7995624e-06 1.0997326e-06 1.3996596e-06 1.0997326e-06 1.0997326e-06 1.5096329e-05 0.00092417526 0.00026543543 1.7595721e-05 4.288957e-05 5.2087333e-05 1.6595965e-05 4.8088306e-05 2.7793241e-05 0.00040570134 7.0982737e-06 6.298468e-06 5.298711e-06 5.298711e-06 4.9987843e-06 4.3989303e-06 8.997812e-06 0.0035618339 0.0004626875 0.00033071957 0.00035011486 0.00033041963 0.00015016348 0.0021279824 0.0012249021 0.0006781351 1.1197277e-05 1.529628e-05 3.24921e-05 1.6495987e-05 1.1697155e-05 1.2796888e-05 0.0001015753 0.010893751 0.00026143642 0.0011961091 0.0011372234 0.0010720392 0.00070792786 0.005669421 0.0035050476 0.00013866628 2.5093897e-05 1.899538e-05 0.00014206544 4.218974e-05 1.7695696e-05 3.5791294e-05 0.00052557216 0.011728047 0.00074361917 0.001102032 0.0009322733 0.0024555027 0.0015938124 0.0070668813 0.003280902 0.00042279717 0.00026553543 0.00013186793 0.00020385042 0.00012247021 0.00012616931 0.0001599611 0.00037680837 0.045470543 0.0030038694 0.0017443758 0.0015060337 0.010231012 0.005052871 0.020388342 0.009761426 0.0031962227 0.0010736389 0.0007915075 0.0010093545 0.0009519685 0.00079130754 0.00082230003 0.002927588 0.06424537 0.0049436977 0.004913905 0.020853229 0.016379716 0.010559432 0.029209396 0.01677322 0.007294726 0.0029217894 0.0027187387 0.0030543571 0.003367381 0.0028488073 0.002947383 0.0061907945 0.02253392 0.0015626199 0.0021519766 0.0015548219 0.0059768464 0.0042093764 0.009646853 0.0056763194 0.0046275747 0.00089108327 0.00078440923 0.0011655166 0.0016728932 0.0010706396 0.0017419764 0.0041434923 0.047751486 0.0061421064 0.004921603 0.0050958605 0.016891291 0.015745372 0.009339329 0.009488093 0.033763587 0.0032906998 0.002293942 0.0050032833 0.011186279 0.0058610747 0.012851374 0.02495283 0.05575604 0.010108442 0.009200462 0.009589568 0.02326874 0.029784257 0.01278829 0.01303533 0.054169428 0.005177341 0.0045101033 0.0076539386 0.022291979 0.0131313065 0.024525536 0.039571077 0.0002434408 0.00016985869 0.00016865898 0.00016755925 0.00016755925 0.00016745928 0.00020894919 0.00016785918 0.00016715935 0.00016695939 0.00016535979 0.00020195088 0.00016695939 0.0002031506 0.00016645952 0.00016715935 54865.0 12.603573 691495.0 0.0042502116 0.0005365187 0.0033738494 0.0004367349 0.002666686 0.0005466417 0.00085466995 0.0006088258 0.0015141107 0.0005336264 0.00054085715 0.00058279524 0.002240074 0.0008503315 0.01587864 0.0011410061 0.0056153694 0.005574878 0.004478702 0.004326857 0.0048315604 0.004682608 0.004338426 0.0039537526 0.005424479 0.0041171666 0.0038959067 0.0042068274 0.008686976 0.006292164 0.008141779 0.0034779715 0.0017961084 0.00969349 0.006769391 0.020422418 0.012892356 0.0077932593 0.012603128 0.0061359806 0.010118656 0.011615413 0.00047578075 0.00122199 0.0071728644 0.0052191266 0.004818545 0.0071179112 0.009031157 0.002636317 0.0075228307 0.019609686 0.020760816 0.0032046507 0.006801206 0.0034259106 0.0016775248 0.0038597533 0.0011525752 0.0035719709 0.0013420199 0.003337696 0.0031439129 0.0032567119 0.001862631 0.046742205 0.006617546 0.023920637 0.02098352 0.09610048 0.0092871245 0.011172893 0.009906073 0.03983832 0.0018423849 0.005530047 0.036549795 0.023126705 0.046986602 0.046163745 0.014248838 0.0005755645 0.046831865 0.04452382 0.07367805 0.016487466 0.0046363315 0.0045351014 0.009793274 0.015034093 0.0013188815 0.0003470741 0.0012769435 0.00045553476 0.00044541174 0.0003788892 5.5369935 0.0 0.0 0.0 8.0 5002377.0 5877760.0 0.0 3.0 627.0 1.0 0.0 0.0 1.0 0.0 1541779000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 4742656.0 1024.0 4096.0 11.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -397312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -108544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59904.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -4634112.0 -17408.0 519680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.949107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.827107 -4.6530266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.309641 0.0 0.0 0.0 0.0 0.0 4.475741 0.0 0.0 -6.455983 -5.133418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84.0 0.0 0.0 -396904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 -108140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110016.0 0.0 0.0 -59776.0 0.0 0.0 0.0 0.0 0.0 148.0 0.0 0.0 -4633968.0 -17036.0 519680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -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 -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 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -4.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 -2.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 3.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 4.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 3.0 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 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 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 1.0 2.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -3.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 1.0 3.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 -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 1.0 -3.0 0.0 1.0 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 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 4947968.0 17036.0 4923392.0 519680.0 5357568.0 0.0 0.0 0.0 0.0 394072.0 4960256.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 4956160.0 0.0 0.0 0.0 0.0 2612.0 4926544.0 2832.0 4943872.0 0.0 0.0