Input: 0.2195012 0.018359374 0.019441105 0.0076021636 0.014633413 0.0033653846 0.0076322113 0.0064903847 0.0054387017 0.005108173 0.017097356 0.0039663464 0.0029447116 0.0025540865 0.009825721 0.0016826923 0.0038161057 0.003064904 0.0036959134 0.0024939904 0.0016826923 0.0015925481 0.0025540865 0.0019831732 0.001953125 0.0010216347 0.0022536058 0.0021935096 0.0052884617 0.0034254808 0.0022235578 0.0045973556 0.0077524036 0.0031850962 0.0020432693 0.0014423077 0.0029146634 0.003485577 0.002283654 0.0015024039 0.004717548 0.0045072115 0.0020432693 0.0018629808 0.00234375 0.0033052885 0.0065504806 0.0024338942 0.00390625 0.0033353365 0.003515625 0.0011117789 0.0013822116 0.003125 0.0011117789 0.0016826923 0.0045973556 0.0022536058 0.0010516827 0.0036057692 0.0017728365 0.0024939904 0.002794471 0.0020132212 0.0013822116 0.0033052885 0.003485577 0.006520433 0.0026742788 0.0016526442 0.0022536058 0.0014122596 0.0016225962 0.0060997596 0.0038461538 0.0026141827 0.0037259615 0.0026442308 0.0018930288 0.0029747596 0.004206731 0.0015024039 0.0042367787 0.008443509 0.0028846154 0.0010516827 0.0020132212 0.0012620193 0.0025540865 0.0015625 0.0009915866 0.0022536058 0.0017127404 0.0021334135 0.001532452 0.0057992786 0.0036057692 0.011358173 0.0038762018 0.0053485576 0.0044771633 0.0234375 0.0018629808 0.005078125 0.0017728365 0.014513222 0.00075120194 0.0033653846 0.008653847 0.005558894 0.008894231 0.021033654 0.006580529 0.0036658654 0.014272837 0.012379807 0.017127404 0.0062800483 0.003996394 0.002704327 0.00234375 0.004387019 0.0016826923 0.009615385 0.0012319712 0.004567308 0.0018629808 0.0016225962 0.004717548 0.0028245193 0.00048076923 0.001171875 0.0014423077 0.0012920673 0.00075120194 0.0034555288 0.0011117789 0.0016225962 0.00078125 0.0014122596 0.00048076923 0.0018629808 0.0018329327 0.0020432693 0.0013521635 0.00096153846 0.003996394 0.0009915866 0.0044471156 0.0017728365 0.0018629808 0.0022536058 0.0013822116 0.0028846154 0.0011117789 0.001141827 0.0012620193 0.0015625 0.0016225962 0.0024038462 0.0009915866 0.0019831732 0.00087139424 0.001141827 0.0030348557 0.0036057692 0.0030348557 0.00234375 0.0014723558 0.0016225962 0.0005408654 0.0009014423 0.0022536058 0.0009915866 0.0006610577 0.00096153846 0.003545673 0.0014122596 0.001141827 0.00072115386 0.0036057692 0.00060096156 0.001141827 0.0010817308 0.0012019231 0.00063100964 0.001532452 0.00084134616 0.0010516827 0.0010516827 0.0016526442 0.002283654 0.004206731 0.0008112981 0.001141827 0.0015925481 0.0017127404 0.0014423077 0.00096153846 0.0012019231 0.0013221154 0.00063100964 0.002283654 0.0019230769 0.00060096156 0.00060096156 0.0010216347 0.001141827 0.0010516827 0.0012620193 0.0051682694 0.0020733173 0.0019831732 0.00045072116 0.0025240385 0.0006911058 0.0016225962 0.0010216347 0.0031850962 0.00060096156 0.00072115386 0.0009314904 0.00078125 0.0018329327 0.0014723558 0.0011117789 0.0030348557 0.0011117789 0.0009915866 0.0015925481 0.00036057693 0.0009915866 0.0018329327 0.0020132212 0.0021334135 0.0014723558 0.0010216347 0.00390625 0.0013521635 0.0013221154 0.00087139424 0.00072115386 0.0006911058 0.0010216347 0.0025240385 0.0026742788 0.0009915866 0.0013221154 0.00087139424 0.0015625 0.004387019 0.0010216347 0.00084134616 0.002373798 0.0016225962 0.002313702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08726058 0.008300781 0.005638861 0.0023469003 0.004583543 0.0046780496 0.025847403 0.020255797 0.0005827873 0.00014175907 0.00015751008 0.00023626511 0.0005985383 7.875504e-05 0.00028351814 0.00029926916 0.064090855 0.007765247 0.006079889 0.0013230847 0.0037802418 0.004111013 0.018223917 0.015766758 0.001953125 0.002252394 0.0007087954 0.00034652217 0.0008033014 0.0006142893 0.0005197833 0.00069304433 0.06782384 0.0029296875 0.0054340977 0.0049773185 0.006552419 0.0075289817 0.034904234 0.0210906 0.0018901209 0.0010710686 0.0009765625 0.0009923135 0.0012758316 0.0012600806 0.0011655746 0.0014175908 0.013939642 0.002252394 0.0026934224 0.0013703377 0.0008978075 0.0012600806 0.004552041 0.0030714467 0.0012285786 0.0002047631 9.4506046e-05 0.00025201612 9.4506046e-05 0.00017326108 0.00011025705 6.300403e-05 0.028997606 0.0015908518 0.002220892 0.0028666835 0.0028981855 0.0032604586 0.009356099 0.004520539 0.0014963457 0.0011183216 0.00085055444 0.0013230847 0.0009923135 0.0010080645 0.0008033014 0.0012128276 0.009482107 0.00203188 0.0023469003 0.002236643 0.0015593498 0.0014490928 0.005890877 0.0034967237 0.0011498235 0.00037802418 0.00033077117 0.0005197833 0.00047253023 0.0002047631 0.00034652217 0.0003622732 0.008883568 0.0013073337 0.0021893901 0.001968876 0.0021893901 0.0014333418 0.0049930695 0.0032289566 0.0011183216 0.0005197833 0.00050403224 0.0008033014 0.0011025706 0.0005670363 0.00069304433 0.00075604836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.048245337 0.018885458 0.025689894 0.023311492 0.02734375 0.022161668 0.02063382 0.024461316 0.019090222 0.026634954 0.023957284 0.020035282 0.018223917 0.023248488 0.022980722 0.022193171 364.0 15.656593 5699.0 0.01421302 0.00035093876 0.0040357956 0.0010528163 0.0012282857 0.0 0.0 0.00052640814 0.00017546938 0.0 0.00052640814 0.0012282857 0.004562204 0.0019301632 0.023512896 0.0015792245 0.009475347 0.010001754 0.0026320408 0.003684857 0.0033339183 0.0047376733 0.0007018775 0.00280751 0.0024565714 0.0019301632 0.0012282857 0.0012282857 0.00561502 0.0052640815 0.005965959 0.00052640814 0.00035093876 0.011580979 0.007194245 0.016143182 0.008598 0.003684857 0.004913143 0.00280751 0.002281102 0.007018775 0.004562204 0.0026320408 0.003158449 0.0054395506 0.0017546938 0.0017546938 0.010001754 0.0008773469 0.008773469 0.021758202 0.009299877 0.001403755 0.004562204 0.0026320408 0.0008773469 0.00035093876 0.0007018775 0.00017546938 0.0021056326 0.00017546938 0.00017546938 0.019126162 0.00052640814 0.04299 0.015616775 0.021758202 0.018775223 0.10738726 0.0061414284 0.019652572 0.007369714 0.049657837 0.00052640814 0.007194245 0.038427792 0.023161959 0.040708896 0.052114405 0.012107387 0.0010528163 0.053167224 0.05088612 0.07983857 0.027548693 0.004211265 0.005965959 0.00561502 0.016494121 0.0033339183 0.0 0.00017546938 0.0029829794 0.00035093876 0.0008773469 5.3009152 1.0 0.0 0.0 1.0 33280.0 57344.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 4205130000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 30720.0 512.0 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 -30720.0 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 -6.7508135 0.0 4.258704 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 -30620.0 0.0 1420.0 0.0 0.0 0.0 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 79.0 38723.0 1420.0 40960.0 0.0 0.0 0.0 0.0 12.0 49152.0 56.0 38584.0 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: 0.13712 0.013546871 0.0052940543 0.0051790453 0.007067617 0.0030786141 0.0030991947 0.0031137222 0.008204392 0.002228757 0.0032844201 0.002289288 0.0049078655 0.0021888064 0.0016585535 0.0044393544 0.006193547 0.001432167 0.0014370094 0.0012663116 0.0027033212 0.0019733154 0.0014333776 0.001191253 0.0023691892 0.0010944032 0.0010580844 0.0011295113 0.0018994674 0.0010798757 0.0011948849 0.0010423464 0.010914977 0.0009188628 0.0013752677 0.0009842365 0.0047165873 0.0019551562 0.00091523095 0.0009224947 0.0017868795 0.0012178867 0.0011379856 0.0017481396 0.002501147 0.0011404068 0.0018994674 0.0010157126 0.002957552 0.0011476706 0.0012239398 0.008038537 0.0014636432 0.0009164416 0.00097576214 0.000895861 0.0016742916 0.00088375475 0.001939418 0.002559257 0.0015786524 0.0016161817 0.0009999746 0.0008571211 0.008431989 0.005637871 0.0031694109 0.006984084 0.0050228746 0.018977726 0.004028953 0.0031488303 0.0036270265 0.007565183 0.0016876084 0.0013062622 0.0026670024 0.003602814 0.002498726 0.002160962 0.008342403 0.001752982 0.0026561068 0.0073097413 0.0036463963 0.008905343 0.0042323377 0.0036693981 0.0016125498 0.004817069 0.0024079292 0.0040313746 0.0014454839 0.0029817645 0.003449065 0.0023776635 0.0010290295 0.007203207 0.001688819 0.0039902134 0.008065171 0.012640115 0.0033570575 0.0029067057 0.006200811 0.0076075546 0.0040664827 0.0011936743 0.0058352025 0.0026694236 0.0083763 0.00841383 0.0037190337 0.0006973188 0.0075700255 0.0060615893 0.015689673 0.007815782 0.001210623 0.0016827659 0.0022493375 0.0017578246 0.0008232236 0.00081838114 0.001836515 0.0018086707 0.0009648665 0.00088133354 0.0056427135 0.0013922164 0.00051209354 0.006964714 0.003355847 0.004591893 0.0008559104 0.00070337194 0.0017614565 0.00977457 0.002160962 0.048365597 0.0008268555 0.008554262 0.0004903023 0.0005641503 0.0025253596 0.0005108829 0.00051330414 0.00056536094 0.00086196355 0.0011609874 0.00044066677 0.00044429864 0.0007929581 0.00048424918 0.00041766494 0.00078690494 0.0007820624 0.00041282244 0.00046608984 0.0004116118 0.0009370222 0.0017033465 0.000452773 0.0007699562 0.0007735881 0.00044671987 0.00037650374 0.00043461364 0.00088254415 0.000443088 0.00042371804 0.000378925 0.0008377511 0.00038134624 0.00037771437 0.00044429864 0.001570178 0.00058594154 0.0017324014 0.00066221075 0.0007118463 0.00045035174 0.0007082144 0.0007917474 0.0030834568 0.0018328832 0.0036657664 0.0011452493 0.0011343537 0.0007590606 0.0008970716 0.00087285915 0.009879895 0.0018449894 0.0024636178 0.011260005 0.0030689293 0.0012626798 0.0049926094 0.002889757 0.0019599986 0.0022142294 0.001432167 0.0013922164 0.0022432844 0.0011210368 0.0014890663 0.0012227292 0.0023013942 0.0012433098 0.0025834695 0.0018861506 0.0018970462 0.0010423464 0.0025423083 0.0015907586 0.004463567 0.001432167 0.0014236926 0.00295392 0.0019285224 0.0010508207 0.0010714013 0.0012469416 0.002334081 0.0008341192 0.0007808518 0.0008873866 0.0021791214 0.0020544273 0.0012190973 0.0008425936 0.026084082 0.004498675 0.0011295113 0.005061615 0.0037577737 0.00074453314 0.0006997401 0.0007687456 0.005225049 0.0010157126 0.0014236926 0.001309894 0.0037940925 0.0006997401 0.0027444824 0.0019309437 0.0072576846 0.0024079292 0.002909127 0.004300133 0.0090942 0.0029757114 0.004933289 0.08888273 0.0012349572 6.0656055e-07 6.0656055e-07 0.0 6.0656055e-07 0.0 3.6393633e-06 1.8196816e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022048475 1.3950893e-05 1.3950893e-05 1.3950893e-05 1.3344333e-05 1.031153e-05 9.098409e-06 1.9409938e-05 6.126262e-05 1.2737772e-05 1.7590257e-05 8.491847e-06 9.704969e-06 1.2737772e-05 4.0032995e-05 2.30493e-05 0.0021144701 4.245924e-05 6.550854e-05 1.8803377e-05 4.185268e-05 3.4573954e-05 6.490198e-05 2.8508346e-05 1.5164014e-05 1.031153e-05 4.2459237e-06 9.098409e-06 9.704969e-06 6.6721664e-06 4.2459237e-06 1.3950893e-05 0.0009243983 6.0656057e-06 5.9442933e-05 0.0 6.6721664e-06 4.2459237e-06 0.00015709919 8.431192e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087587343 4.2459237e-06 7.885287e-06 1.2737772e-05 5.2770767e-05 1.6983695e-05 0.00015285326 5.580357e-05 4.0639556e-05 2.4262422e-06 3.0328029e-06 2.4262422e-06 2.4262422e-06 2.4262422e-06 3.0328029e-06 6.6721664e-06 0.016711956 0.00029054252 0.0034325263 0.00032632958 0.0011154648 0.00062536396 0.011966227 0.0057483744 2.062306e-05 4.0032995e-05 4.60986e-05 8.795128e-05 5.459045e-05 4.9737966e-05 0.00010250873 0.00037546098 0.008662898 0.00031116555 0.00036393633 0.0002784113 0.0014963849 0.00075092196 0.004639582 0.002388029 0.00012980396 6.490198e-05 8.61316e-05 7.763975e-05 7.945943e-05 5.459045e-05 6.672166e-05 0.00042519896 0.006810462 0.0003463461 0.0013350397 0.00073151203 0.0025099476 0.0016692546 0.010929614 0.004803353 0.0001261646 8.370536e-05 0.00012373835 0.00030206717 0.00014011549 9.765625e-05 0.00010190217 0.00094502134 0.008029042 0.0012513344 0.0020052893 0.0012646788 0.0021405523 0.0010426776 0.0065848213 0.0033021157 0.0003918381 5.580357e-05 0.00010675466 0.0007072496 0.0013404988 0.0002323127 0.00016013198 0.0036830357 0.017415566 0.0023073563 0.0020768633 0.001026907 0.0049507474 0.0015916149 0.0056713414 0.0031947545 0.002073224 0.00055742916 0.00047008443 0.0010584482 0.0027477194 0.0007230202 0.00079944683 0.0055093896 0.015498229 0.0028229328 0.003084967 0.0025499805 0.0067146253 0.0036132813 0.004065169 0.0025202592 0.004173743 0.0008085452 0.0005180027 0.0013247282 0.0044181873 0.0034015917 0.0023346515 0.01295856 0.056126866 0.00947023 0.009803838 0.00981415 0.02646545 0.020287024 0.014838898 0.012557017 0.034416854 0.0043787607 0.0032099185 0.0068219868 0.01737432 0.013482628 0.020202713 0.053792823 0.06991763 0.011678111 0.012738379 0.013726465 0.035129562 0.034070507 0.02562051 0.020644289 0.055263124 0.005584603 0.005497258 0.010241775 0.024659112 0.012657706 0.030167896 0.06345897 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6101.0 16.672022 101716.0 0.054170437 0.00022611978 0.002536474 0.00030477013 0.0014157065 0.0030771953 0.00036375792 0.00048173344 0.002870738 0.0025561368 0.00042274568 0.0001966259 0.0019564277 0.0019269338 0.0065771365 0.0014746942 0.0014845255 0.0019269338 0.0020252469 0.0019564277 0.0019465964 0.0007373471 0.0012485745 0.0003932518 0.0009044791 0.00048173344 0.0077470606 0.0040504937 0.0011207677 0.00091431045 0.0007865036 0.00047190217 0.0008356601 0.010676786 0.0069114002 0.01397027 0.010991388 0.0129773095 0.008130481 0.0058201267 0.0042176256 0.012387431 0.00024578237 0.0016614889 0.00758976 0.006410004 0.009506863 0.008966141 0.009683826 0.0016909827 0.0085630575 0.019574108 0.015798891 0.005505525 0.0032836525 0.007343977 0.0019465964 0.0055841757 0.001032286 0.00440442 0.0017303079 0.0040799873 0.0040504937 0.0046207085 0.00011797554 0.04569586 0.00888749 0.025109127 0.022956073 0.08784262 0.010027921 0.017588187 0.013940777 0.04933344 0.00072751584 0.004532227 0.035707265 0.014943568 0.056048214 0.055674624 0.017322741 0.00036375792 0.04949074 0.037575208 0.067540996 0.019839553 0.004365095 0.008268119 0.0061445595 0.008071493 0.0018482835 0.00027527625 0.00036375792 0.00028510756 0.000108144246 5.898777e-05 5.3719683 3.0 3.0 7.0 4.0 826021.0 876544.0 0.0 0.0 19.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 -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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 634368.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -634368.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7163043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.60524 0.0 0.0 0.0 0.0 0.0 0.0 -5.042833 6.166954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -36128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5520.0 0.0 0.0 0.0 0.0 0.0 -4420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -633968.0 0.0 0.0 0.0 0.0 0.0 0.0 -9778.0 163572.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9778.0 655360.0 163572.0 712704.0 0.0 0.0 0.0 0.0 0.0 675840.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 671744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05659591 0.00829504 0.0061649247 0.005664451 0.0057533784 0.004950966 0.0042054257 0.0054224865 0.0050429953 0.0056251576 0.0037494157 0.004463935 0.004959238 0.0031682875 0.004325374 0.004641789 0.005034723 0.0037690625 0.0049261493 0.0041599283 0.004350191 0.0031889682 0.0041020224 0.003846615 0.00505954 0.00335338 0.003161049 0.002930459 0.004153724 0.0034330008 0.003782505 0.0037866412 0.0061628567 0.0038186961 0.0034826344 0.0030286924 0.0049013323 0.004158894 0.0038383428 0.0037204628 0.004718308 0.0038941808 0.0033358012 0.0031000408 0.0043688035 0.0037214968 0.003727701 0.003585004 0.005519686 0.003945883 0.003105211 0.0029066761 0.0036780674 0.0030690199 0.0026884945 0.0028673827 0.0041661323 0.0033202907 0.0035188256 0.0033606181 0.004001721 0.0032158531 0.0035074512 0.0034567835 0.0065919817 0.003945883 0.0036191272 0.0032241254 0.0041630305 0.0032230914 0.0035426086 0.0030628156 0.0049964637 0.0037742327 0.003699782 0.003586038 0.004124771 0.0031186535 0.0035643233 0.0034650557 0.0051670796 0.003639808 0.0036563524 0.0033399374 0.003931406 0.0033771626 0.0033595841 0.0035374383 0.0046510953 0.0036470462 0.003808356 0.0035095194 0.0041113286 0.003387503 0.0036925438 0.0037949134 0.005911586 0.0036242974 0.0033368352 0.002958378 0.0039913803 0.0030545434 0.0032675548 0.0030338627 0.004978885 0.0031693215 0.0032055127 0.0030545434 0.0035777658 0.002842566 0.0030845304 0.0031982744 0.0045052962 0.0032830653 0.0032210231 0.0031507087 0.0038921128 0.0033358012 0.0032830653 0.0036325697 0.0046231765 0.0032913378 0.0034836684 0.0031713895 0.00403481 0.0031993084 0.00347126 0.0033461417 0.008647646 0.0046004276 0.004009993 0.0035208936 0.004356395 0.0034298985 0.0030286924 0.003385435 0.004543556 0.0038342068 0.002958378 0.0031920702 0.0037380413 0.0028094768 0.0028518722 0.0029945693 0.0052270535 0.0032024106 0.0034940087 0.0030255904 0.0036677269 0.003184832 0.0033120185 0.0032582486 0.004551828 0.0028394638 0.003045237 0.0027112432 0.0035136554 0.0032344656 0.002990433 0.0031445045 0.005017144 0.003414388 0.003272725 0.002793966 0.003779403 0.0030049095 0.0030535094 0.003182764 0.0041309753 0.0029966373 0.0031207218 0.003014216 0.0036449782 0.0028404978 0.0029263229 0.0030338627 0.0046635037 0.0031207218 0.003843513 0.0028622125 0.003559153 0.0031465725 0.002991467 0.003131062 0.004266434 0.0031517427 0.0033337332 0.0031869 0.0036532504 0.0032003424 0.0033368352 0.0033409714 0.006710896 0.0040596267 0.0037235648 0.0033420054 0.004120635 0.0032613506 0.0033047802 0.0032210231 0.0043264083 0.0033316652 0.0031124493 0.003076258 0.0036501482 0.002985263 0.003073156 0.0027991363 0.0042478214 0.003272725 0.0030990068 0.0030038755 0.0037173606 0.0030286924 0.002934595 0.0029501056 0.0039758696 0.0031103813 0.002728822 0.0026409288 0.0035302 0.0029521738 0.003582936 0.0028901317 0.0049582045 0.0032386018 0.0033937073 0.0029749225 0.0038031857 0.003075224 0.0032024106 0.0029180506 0.004438084 0.0054493714 0.0034743622 0.0031424365 0.0037887092 0.0030834964 0.0032427378 0.003183798 0.004610768 0.0033130525 0.0034267965 0.0030462712 0.0037359733 0.0030948708 0.0033171885 0.003247908 0.0043512248 0.0030359307 0.003187934 0.0028663487 0.004009993 0.0030917686 0.0042188684 0.0045083985 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09913921 0.061998256 0.062453397 0.055332154 0.060583122 0.059600346 0.05495054 0.054497987 0.06048992 0.053180195 0.052127518 0.05298861 0.056419007 0.05057931 0.05667221 0.053845048 4030.0 5.7027297 22982.0 0.017230876 0.010399443 0.009355147 0.008702463 0.013445305 0.012444522 0.01183535 0.0114002265 0.012575059 0.009790271 0.008528413 0.008571926 0.01392394 0.010617005 0.011704813 0.010007832 0.016708728 0.011922374 0.008745975 0.0075276303 0.009790271 0.008484901 0.0077887042 0.008310852 0.010225394 0.008441389 0.009572709 0.008876512 0.011487251 0.0089635365 0.009616221 0.00922461 0.018014098 0.010921591 0.010442955 0.009007049 0.010878079 0.0088329995 0.010660517 0.008267339 0.0142285265 0.011617788 0.009746758 0.008920024 0.011443739 0.009311635 0.0116613 0.009616221 0.014837699 0.009703246 0.0100513445 0.0089635365 0.012096424 0.00939866 0.009572709 0.009746758 0.013706379 0.009181098 0.010486468 0.009529197 0.011182665 0.009790271 0.010442955 0.010660517 0.017927073 0.010965103 0.009703246 0.008223827 0.013053694 0.008223827 0.00939866 0.008397876 0.0154468715 0.009355147 0.008876512 0.00865895 0.011313202 0.008049778 0.009877295 0.007919241 0.013140718 0.008006265 0.00865895 0.0088329995 0.0115307635 0.009442172 0.008267339 0.008006265 0.010878079 0.008920024 0.012052911 0.008484901 0.011356714 0.009050561 0.010007832 0.0088329995 6.5546513 0.0 0.0 0.0 14.0 967084.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1395927 0.0052762115 0.0023129173 0.0021205225 0.003580212 0.0008636843 0.0015747077 0.001509879 0.0010017065 0.0007821257 0.0008281331 0.00096406403 0.00087623176 0.00085741054 0.00053745 0.0009912503 0.0012087397 0.055901077 0.0005646362 0.0005499975 0.00045170897 0.0002446757 0.00041824905 0.03377152 0.0025952354 0.0019553143 0.0014345942 0.0010498051 0.0010644438 0.0008134944 0.0007695782 0.0010435313 0.003538387 0.00066710723 0.00079676445 0.00048307763 0.00051444635 0.00066919846 0.0009577903 0.0004851689 0.0011543673 0.000767487 0.00070056715 0.00049562514 0.00068383716 0.0008009469 0.0007988557 0.0011209075 0.0027688087 0.0013300319 0.0009745203 0.000861593 0.0006420123 0.0004621652 0.00047680392 0.0005332675 0.0006127349 0.0003387817 0.00053745 0.00058554864 0.00044125275 0.0004579827 0.0004015191 0.0005165376 0.00052490254 0.0011376374 0.00057090994 0.0007172971 0.0006942934 0.00033459923 0.00036596792 0.00039942784 0.00060855236 0.0003931541 0.00026140566 0.0019030331 0.0007026584 0.00037224166 0.00070474966 0.00063155603 0.0017671022 0.00068174594 0.0006022786 0.000767487 0.0003931541 0.0008197681 0.0003283255 0.0005060813 0.0004119753 0.00028440935 0.0073047196 0.0005186288 0.0007863082 0.0010477138 0.055863433 0.03443026 0.0032142438 0.00396291 0.0014659629 0.0022961872 0.00162908 0.0026893413 0.0010874475 0.0013342145 0.0013174845 0.0020786978 0.00081140315 0.0008364981 0.0015579776 0.0011041774 0.0017587373 0.0014178642 0.0013028458 0.00054790627 0.0024781255 0.001654175 0.0018967594 0.0010393489 0.0006880197 0.0014847841 0.0008051294 0.00085322803 0.00039942784 0.0007214796 0.00056045374 0.00084277184 0.0006880197 0.00060436985 0.0028085422 0.00073402707 0.0010644438 0.00055836246 0.00051235507 0.00040988406 0.000989159 0.0008553193 0.001346762 0.00047471267 0.00072984456 0.0010456226 0.00045589145 0.00035760293 0.00031786927 0.0008469543 0.0007444833 0.001997139 0.00052072003 0.00028859184 0.00052908505 0.00044334398 0.0010937213 0.055733778 0.03545288 0.0030824954 0.0023317384 0.0016186238 0.000895053 0.0006273736 0.00091805664 0.00058973115 0.0015391564 0.00093269534 0.0007863082 0.002712345 0.00089087046 0.00089087046 0.0010121627 0.0005311763 0.000895053 0.00082185934 0.00042870527 0.0007904907 0.0007172971 0.0003471467 0.0005771837 0.0011376374 0.00049353385 0.0008239506 0.0007110234 0.00029486557 0.0005039901 0.00042034028 0.0012484734 0.0013174845 0.012277701 0.0017859234 0.0008741405 0.0009954327 0.0006106436 0.0026161477 0.001288207 0.00071938836 0.002174895 0.0005353588 0.0005332675 0.000861593 0.0011188162 0.0010247101 0.00054790627 0.00042870527 0.0008176769 0.0005081726 0.0005960049 0.00062109984 0.0023861108 0.0009787028 0.000767487 0.0005792749 0.0004579827 0.0004496177 0.00079258194 0.0003931541 0.0007821257 0.0024007496 0.0017378248 0.0015851639 0.0009096917 0.00096615526 0.00063992105 0.00063573854 0.0007089321 0.00049771636 0.0007549395 0.0007883994 0.0008825055 0.0031891488 0.00060646114 0.0025471367 0.0009996152 0.0013802218 0.0011710973 0.00049771636 0.000673381 0.0008093119 0.00060855236 0.0008364981 0.0010874475 0.00074239203 0.0006273736 0.0010539875 0.005704917 0.0008741405 0.002883827 0.0017503722 0.0011941011 0.00090760045 0.00094942533 0.00087623176 0.0009703378 0.00090760045 0.0012526559 0.0010581701 0.0011376374 0.030009368 0.00065874227 0.28375897 2.7301747e-05 2.3101478e-05 1.0500672e-06 0.0 0.0 1.9951276e-05 0.0 0.0 0.0 1.9951276e-05 0.0 0.0 1.0500672e-06 1.0500672e-06 0.0 0.014960308 0.0 2.4151546e-05 0.0 0.0 0.0 2.4151546e-05 0.0 0.0 0.0 2.4151546e-05 0.0 0.0 0.0 0.0 0.0 0.002078083 0.0061953967 0.00022261425 0.0002751176 3.6752353e-05 2.4151546e-05 0.00011130713 8.505544e-05 1.9951276e-05 3.9902552e-05 9.555612e-05 1.9951276e-05 1.7851142e-05 1.7851142e-05 1.6801076e-05 1.6801076e-05 0.007858703 0.0061754454 0.000249916 0.00016486055 0.00013335854 5.5653563e-05 0.0013671875 3.0451949e-05 0.00011235719 5.3553427e-05 0.00013860887 6.40541e-05 0.0010689684 0.00011655746 0.000103956656 0.00013230847 0.017989751 0.0048985635 0.0007003948 0.0003486223 0.00024886592 0.000107106855 0.0028288811 8.295531e-05 0.00015435988 0.0001186576 0.0009881132 7.770497e-05 0.0014900453 0.0007696993 0.00018061156 0.0001344086 0.03418284 0.013974294 0.0017452117 0.0009650118 0.00089885754 0.0002845682 0.0013850386 0.0011309223 0.0004200269 0.00076759915 0.0018302671 0.00046832996 0.003889449 0.0017872144 0.00079910114 0.0009156586 0.059061028 0.013736979 0.0028540827 0.0004609795 0.00040427587 0.0003423219 0.004126764 0.00087470596 0.0006363407 0.0009408602 0.0030630461 0.00071614585 0.0061775455 0.002234543 0.0013713877 0.0011172715 0.049114794 0.0070238994 0.025882056 0.0007203461 0.000390625 0.0010868196 0.02640394 0.0016066028 0.002091734 0.0010878696 0.025723496 0.0005355343 0.003001092 0.0011162214 0.0021904402 0.0014553932 0.06527533 0.034202788 0.026802965 0.0015898017 0.0013829385 0.0017420615 0.02859228 0.0034305695 0.0021305864 0.0027123236 0.026895372 0.0010290658 0.0030115927 0.0013041835 0.0010794691 0.0008190524 0.04607065 0.024556872 0.011072959 0.0010385165 0.001234879 0.0006174395 0.010523774 0.002268145 0.0010416667 0.00075289817 0.011183215 0.0016832578 0.0011844758 0.0003843246 0.0009251092 0.0015646002 0.013838836 0.013739079 0.008108619 0.0011214718 0.00057648687 0.00036437332 0.0072391634 0.0025516632 0.0011487735 0.0007245464 0.008632602 0.0022061912 0.0019279234 0.0007150958 0.0011760753 0.0026944724 0.0072885165 0.012361391 0.0069934474 0.00095346104 0.00059118785 0.00064579136 0.0064820647 0.0015971522 0.00092300907 0.00088940695 0.0071331067 0.0012852823 0.00080435147 0.0010511173 0.0011991768 0.0014732443 0.007229713 0.01031271 0.0051243277 0.0011183216 0.00083480345 0.0009807628 0.00515058 0.0022733954 0.0013041835 0.0010983703 0.005612609 0.0010962702 0.00069619453 0.0008211525 0.00085580477 0.001031166 0.002549563 0.007670741 0.0042517222 0.0020885838 0.0013503864 0.0012684811 0.0047526043 0.0038652974 0.0020896338 0.0015110467 0.004983619 0.00125063 0.0007949009 0.00091355847 0.00097551243 0.0013388357 0.0017546623 0.008076067 0.010014491 0.0035649783 0.0036353327 0.0026031167 0.0077904486 0.008470892 0.0042716735 0.0026776714 0.010899697 0.0045079384 0.002905536 0.0032069052 0.0036027806 0.0049930695 0.006951445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 936.0 17.772436 16635.0 0.04490532 0.0015028554 0.011361587 0.0021641117 0.0031860536 0.0016230838 0.0015629696 0.0039675385 0.0049293656 0.0038473099 0.004147881 0.0026450255 0.005770965 0.0064923353 0.013465584 0.012383529 0.03432522 0.014667869 0.009498047 0.005891193 0.0034866247 0.004388338 0.0038473099 0.0035467388 0.003606853 0.0024045687 0.005049594 0.001683198 0.001683198 0.0019837692 0.0012623986 0.0018034265 0.001382627 0.007874963 0.0017433123 0.009918846 0.007995191 0.002524797 0.0020438833 0.0024045687 0.0034265104 0.00498948 0.0010820559 0.017974151 0.0018034265 0.0011421702 0.0029455966 0.0031259393 0.0043282234 0.0012623986 0.004688909 0.003907424 0.0012623986 0.0025849114 0.0020438833 0.0024646828 0.0023444544 0.00090171327 0.19987977 0.002224226 0.007754734 0.0024646828 0.0015629696 0.0028253682 0.0040877666 0.056507364 0.0065524494 0.021340547 0.013345356 0.034565676 0.008115419 0.016170725 0.012143072 0.03408476 0.0029455966 0.0034265104 0.011902615 0.012082958 0.019537121 0.023624888 0.011481815 0.0020438833 0.044664863 0.020919748 0.03210099 0.010219417 0.0036669672 0.02152089 0.0027051398 0.0054703937 0.001683198 0.010760445 0.001683198 0.0012623986 0.008776676 0.0026450255 5.3351974 0.0 42.0 0.0 1.0 478184.0 471040.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 459776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1440315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.677708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 459616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 459616.0 8192.0 0.0 0.0 17384.0 460800.0 0.0 0.0 28.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.047762588 0.004011017 0.0040665893 0.0037977225 0.0037987218 0.0038159133 0.005020518 0.0071146823 0.0036148129 0.0035924239 0.0036010197 0.003664988 0.0039958246 0.0035852275 0.003523458 0.00360022 0.0046039238 0.003893475 0.0036236085 0.0036148129 0.003562039 0.003604618 0.0035164615 0.0034976706 0.0035852275 0.0035590404 0.0036308048 0.0034798796 0.0034938727 0.0035266564 0.0035098647 0.0036915748 0.004397826 0.0035126633 0.0036865773 0.0040326063 0.0035656372 0.0035124635 0.0035146624 0.0034618885 0.003529655 0.0035418489 0.0035040677 0.0035656372 0.0036859775 0.0035646376 0.0034946722 0.0035136628 0.0035904248 0.0035392502 0.006690692 0.0036038184 0.0034938727 0.0034736826 0.0034834777 0.0034900745 0.0035004693 0.0035908248 0.0035434482 0.0035448475 0.0035406495 0.0035448475 0.0034900745 0.0035326534 0.0039526457 0.0037731347 0.0035676362 0.0035550424 0.0036078163 0.0037109654 0.0035390502 0.0035022686 0.0035490454 0.0035440477 0.0035634383 0.003525257 0.003551644 0.0036026188 0.0036080163 0.0035684358 0.0036937739 0.0036274067 0.0036657876 0.0036182113 0.0035622388 0.003556042 0.0035776312 0.0035332532 0.0035026683 0.003547446 0.0036417996 0.0038804815 0.0035874264 0.0035702349 0.0035522438 0.0035002695 0.0036274067 0.0036857778 0.0035298548 0.0035952225 0.0045885313 0.007136672 0.003657192 0.0035786307 0.003606217 0.0036763824 0.0035968218 0.0035514443 0.0036967723 0.0036352028 0.0036118142 0.0035770314 0.0036431989 0.0035966218 0.0036867773 0.0035990207 0.0037961232 0.0036310048 0.0035344525 0.0035202596 0.0035532434 0.0035570413 0.0036601904 0.0036102151 0.0035610395 0.0035974213 0.0035310544 0.0035284555 0.0043572458 0.0037747337 0.0040537957 0.0037679372 0.003598021 0.0037921253 0.0035650374 0.003622809 0.0036264071 0.0037113652 0.0035912246 0.00412556 0.0036523943 0.00370137 0.003556042 0.0035634383 0.00372176 0.0035218587 0.003561839 0.0035200596 0.0035892255 0.0035734333 0.0035644379 0.0035484456 0.0035340528 0.0035200596 0.0036172117 0.003545647 0.0035990207 0.0036298055 0.003677382 0.0035716342 0.0037825298 0.0038828803 0.003569635 0.0035654372 0.003575632 0.0036074165 0.00355984 0.0035368514 0.003533653 0.0035388505 0.003592224 0.003652794 0.003497071 0.0035422486 0.0035818291 0.0037351532 0.003776133 0.0037017697 0.0036875769 0.0035752323 0.0035418489 0.0035586406 0.0037571425 0.0037181617 0.003626807 0.0036601904 0.0036739835 0.0044268114 0.006926975 0.0035024683 0.0035368514 0.0036699856 0.0038065182 0.0035444477 0.0035674362 0.003703169 0.0035324534 0.0035044674 0.0035422486 0.003523458 0.0034738826 0.003590025 0.0035348523 0.0035622388 0.003509265 0.0034856766 0.0034704842 0.0035526436 0.0035592404 0.003555642 0.0035714342 0.0036781814 0.0035000695 0.00351906 0.00356024 0.0035428484 0.003596222 0.0035056667 0.0035322537 0.003507266 0.0035544427 0.0035592404 0.0035724337 0.003493473 0.003614213 0.0035226585 0.0034772807 0.0035346525 0.0035470463 0.0036310048 0.0035278557 0.0035506445 0.0038852792 0.0036090156 0.00349927 0.0036158124 0.0035360518 0.0036034184 0.003725558 0.0034988702 0.003723759 0.0035514443 0.0035818291 0.00349907 0.0035338528 0.0034792798 0.0034834777 0.0035038677 0.0035786307 0.0036042181 0.003535252 0.0035724337 0.0036396005 0.0038281074 0.007063108 0.014290535 0.010435862 1.9995137e-07 1.299684e-06 2.9992705e-07 9.9975686e-08 1.9995137e-07 9.997568e-07 4.998784e-07 1.1997082e-06 9.9975686e-08 0.0 8.997812e-07 3.9990275e-07 1.9995137e-07 0.0 0.0 0.00096556515 1.9595234e-05 1.4996353e-05 8.997812e-07 1.599611e-06 5.998541e-07 3.799076e-06 7.998055e-07 7.1982495e-06 6.998298e-07 3.9990275e-07 3.9990273e-06 1.9995137e-07 5.998541e-07 6.998298e-07 2.0994894e-06 0.0023670243 3.399173e-05 1.6196062e-05 2.0095113e-05 3.6991005e-06 4.099003e-06 9.49769e-06 4.9987843e-06 2.0295065e-05 1.1997082e-06 1.599611e-06 7.398201e-06 3.2991977e-06 1.0997326e-06 5.8985656e-06 0.00016136076 0.0027864224 0.00016455998 5.358697e-05 7.698128e-06 7.398201e-06 1.0997326e-06 1.7895647e-05 7.598152e-06 1.2996839e-05 1.299684e-06 2.0994894e-06 1.7195818e-05 4.498906e-06 1.7995624e-06 1.4096572e-05 0.0007900079 0.0031773273 0.00090857904 1.7495746e-05 0.0001776568 8.497933e-06 2.039504e-05 1.3896621e-05 4.498906e-06 0.00053317036 4.698857e-06 5.698614e-06 2.7393338e-05 6.998298e-06 6.398444e-06 1.4896377e-05 0.0003959037 0.0016549975 9.197763e-06 0.00014906375 0.0007298225 5.298711e-06 9.567673e-05 4.1090007e-05 2.6993434e-06 3.8490638e-05 6.4984197e-06 1.3196791e-05 3.919047e-05 3.799076e-06 2.899295e-06 7.1982495e-06 6.738361e-05 0.003272304 6.2184874e-05 0.0001319679 0.000645543 9.637656e-05 0.00014016591 0.00013526711 3.2392123e-05 0.00023324328 0.00010777379 7.768111e-05 0.0001344673 1.1397228e-05 9.097787e-06 1.689589e-05 0.00021674728 0.0048007322 2.989273e-05 0.00022024644 0.00019895162 7.528169e-05 7.558162e-05 0.0009226756 0.00010637413 1.7795672e-05 2.3594263e-05 0.00016535979 0.00074611855 1.1197277e-05 6.1984924e-06 0.00011397228 0.001085536 0.006976303 0.00010077549 0.00022584507 0.0001249696 0.00019585236 0.00013326759 0.0013577698 0.00017025859 0.00011297253 8.627902e-05 0.00022344566 0.0012057067 1.5896134e-05 1.089735e-05 0.00018265558 0.0019811182 0.0025296847 8.158016e-05 0.0003223216 5.6486264e-05 9.527683e-05 9.08779e-05 0.000407101 9.857603e-05 0.00017795672 0.00010667406 7.0382885e-05 0.00029632793 2.8093167e-05 2.3494285e-05 6.568403e-05 0.0006682375 0.0020774947 0.00010907347 0.0002767327 0.00054796675 0.00018745441 0.00017415764 0.0004461915 0.00017255804 0.00040240213 0.00012406983 0.00010307493 0.0004149991 5.888568e-05 5.6186334e-05 5.6486264e-05 0.0005252723 0.0018761437 0.00010847362 0.0002557378 0.00030042694 0.00015226298 0.0001294685 0.00042489666 0.00016995867 0.00023814208 0.00012137048 0.00015336271 0.00040310196 6.3884465e-05 4.918804e-05 8.048043e-05 0.00079660624 0.006714867 0.0008445946 0.00067103683 0.0009898592 0.0004855819 0.0006378449 0.0023860198 0.00086828886 0.0012020076 0.0009894593 0.0013049826 0.0028048179 0.0005954552 0.0008363966 0.00076591375 0.006977403 0.0020346052 0.00021964658 0.0002689346 0.00018285553 0.0003585128 0.00033111946 0.00054376776 0.0003202221 0.0006985301 0.00034441624 0.00028093168 0.00053407013 0.00032712045 0.00022784459 0.0003023265 0.0016246049 0.001435251 0.00022814452 0.00026263614 0.0003010268 0.00054366776 0.0005652625 0.000324821 0.00033691805 0.00095876685 0.00012856873 0.000117571406 0.00018945393 0.0004872815 0.0002533384 0.00047148534 0.00097156374 0.055396028 0.05547651 0.055199876 0.05537433 0.0555064 0.055224568 0.055319145 0.055309847 0.055408925 0.055250864 0.055239964 0.055520397 0.055290353 0.055325944 0.055283155 0.05521357 21638.0 6.7739162 146574.0 0.022862172 0.008193813 0.008350731 0.008180168 0.008268861 0.008371199 0.008555406 0.008084654 0.008562228 0.009183074 0.008719145 0.008405311 0.012225906 0.00884195 0.008425778 0.00919672 0.009210365 0.008794193 0.11612564 0.008555406 0.008623631 0.0085758725 0.008534938 0.008664565 0.00845989 0.00936046 0.008835128 0.008657743 0.008507648 0.008569051 0.008302974 0.008494003 0.008760081 0.008889708 0.00832344 0.008807838 0.008623631 0.009046625 0.0086440975 0.008562228 0.008050541 0.00892382 0.008296151 0.00865092 0.008050541 0.009947194 0.010356544 0.010438413 0.009674294 0.009947194 0.011768799 0.010322431 0.009401394 0.008780547 0.008664565 0.00878737 0.008214281 0.008712322 0.011345805 0.018502599 0.008446245 0.008555406 0.0095651345 0.008146056 0.00895111 0.011482255 0.008432601 0.009544667 0.010042708 0.012601144 0.008453068 0.009892614 0.008691856 0.010417946 0.007886801 0.008916997 0.012041699 0.008916997 0.009722051 0.009483265 0.0095651345 0.0083097955 0.010383833 0.009469619 0.010356544 0.008835128 0.008302974 0.008412133 0.008807838 0.009640181 0.008964755 0.008582695 0.008398488 0.008214281 0.008207458 0.008166524 6.302764 0.0 1.0 0.0 59.0 5002472.0 614400.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 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 0.0 512.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 497664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 4.5302963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 497324.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 497324.0 114688.0 0.0 0.0 8704.0 22422768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.119866565 0.0040790928 0.0032753733 0.0036642698 0.0031284569 0.0039235344 0.0032235205 0.0031889519 0.003258089 0.0037074806 0.0027395603 0.0032062363 0.0029988247 0.0035778484 0.0031198147 0.0069310013 0.0033877213 0.0040099556 0.0035259956 0.0034741426 0.0029901825 0.0042346516 0.0030766039 0.0031284569 0.0027482025 0.0039235344 0.0032148783 0.003258089 0.003430932 0.0039408184 0.0031025305 0.0033012999 0.003145741 0.0039235344 0.0031543833 0.0031198147 0.0032408047 0.003958103 0.0029728983 0.0029124033 0.0031198147 0.0039408184 0.0031716677 0.0033012999 0.0028173395 0.0039926716 0.0032235205 0.0030593197 0.0031630255 0.0039926716 0.0028691925 0.0033272263 0.0029383297 0.0038976078 0.0031111725 0.0032840155 0.003145741 0.004001314 0.003197594 0.003197594 0.0031630255 0.004001314 0.0030938883 0.0029296875 0.002903761 0.0041050194 0.0032494469 0.0032235205 0.002722276 0.0036037748 0.0032148783 0.0032667313 0.0029728983 0.003724765 0.0031025305 0.0030766039 0.003067962 0.0038111864 0.003258089 0.003318584 0.0029815403 0.0038284706 0.0030161089 0.0029901825 0.0032321627 0.0037679756 0.0033272263 0.0030506775 0.0032235205 0.00378526 0.003007467 0.0032235205 0.0031198147 0.004251936 0.0025148646 0.002955614 0.0031716677 0.0035173534 0.0032062363 0.0029383297 0.0032753733 0.0037420492 0.0030161089 0.003197594 0.0030766039 0.0047877487 0.002895119 0.0029210453 0.0032321627 0.0038543972 0.0030420355 0.003067962 0.0032926577 0.0033445104 0.0031716677 0.0029901825 0.0032148783 0.0038284706 0.003067962 0.0032062363 0.0031284569 0.0037766178 0.003007467 0.0030766039 0.003137099 0.0038889658 0.0028173395 0.0031543833 0.0034568585 0.0052457824 0.0033445104 0.0034827848 0.0036210592 0.0044074943 0.0032062363 0.004087735 0.0035951328 0.004718612 0.0038284706 0.004182799 0.0029210453 0.0054791206 0.0030420355 0.0034050054 0.003145741 0.0035951328 0.0030333933 0.0030333933 0.002964256 0.003430932 0.0032235205 0.0028778347 0.003067962 0.0036210592 0.0029469717 0.003024751 0.0028259817 0.003612417 0.0030420355 0.0030506775 0.002774129 0.0038198286 0.0030938883 0.0033617949 0.0029210453 0.003975387 0.0028173395 0.0028173395 0.0029901825 0.0037506914 0.0030766039 0.0031284569 0.0030420355 0.0036383434 0.003137099 0.0045198426 0.002955614 0.0038025442 0.003085246 0.0029124033 0.0032321627 0.0035173534 0.0033963635 0.0033877213 0.003258089 0.0037593336 0.0033012999 0.0035692062 0.0031630255 0.003966745 0.0033358685 0.0037161228 0.004442063 0.004917381 0.003724765 0.0037766178 0.003137099 0.0043556415 0.0040704506 0.0046581165 0.0037679756 0.004156872 0.0033963635 0.0037074806 0.0029210453 0.004251936 0.0031198147 0.0035692062 0.0037074806 0.004675401 0.0033704368 0.0043556415 0.0030938883 0.004251936 0.0035173534 0.0034827848 0.0034222899 0.0039408184 0.0032062363 0.0035173534 0.0032408047 0.004208725 0.0031630255 0.0036383434 0.0030593197 0.0038198286 0.0032321627 0.0028691925 0.0031198147 0.0034655007 0.0031111725 0.0031284569 0.0032926577 0.0038198286 0.003439574 0.00378526 0.002903761 0.0040531666 0.003085246 0.0034827848 0.0029988247 0.0039321766 0.0040445244 0.0039494606 0.0033617949 0.0038976078 0.004614906 0.0046408325 0.0030938883 0.003966745 0.0034827848 0.003672912 0.0029728983 0.0036383434 0.0039235344 0.004684043 0.09821428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005706787 0.00023106167 0.00019618442 0.00023106167 0.00029645648 0.00018746512 0.00025285993 0.00024414062 0.00018310547 0.00022234235 0.0002485003 0.00022234235 0.00015694754 0.00017438616 0.00021362305 0.0001613072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003579276 0.0004185268 0.00036185127 0.0002746582 0.00041416712 0.00027901787 0.0004185268 0.00027029854 0.0005405971 0.0002092634 0.0002092634 0.00030953545 0.0004926409 0.00033569336 0.00028773717 0.00052751816 0.008662633 0.0027378628 0.0021841866 0.002367292 0.0025765556 0.0017656599 0.0027029854 0.0014648438 0.00831822 0.0015563965 0.0025155204 0.0034877232 0.010441371 0.0075116837 0.004080636 0.009055002 0.051618304 0.05169242 0.050711494 0.05090332 0.0496521 0.050432477 0.04981341 0.050484795 0.053379603 0.048941474 0.050362725 0.05078997 0.051352363 0.05126081 0.04953003 0.051574707 459.0 5.633987 2586.0 0.01121423 0.011600928 0.00966744 0.009280742 0.012374323 0.017401392 0.005800464 0.009280742 0.008507348 0.006573859 0.0077339523 0.010054138 0.006960557 0.011987626 0.013921114 0.010054138 0.013147718 0.011987626 0.006573859 0.016241299 0.006960557 0.012374323 0.010440836 0.010440836 0.0081206495 0.012761021 0.012374323 0.010827533 0.0073472545 0.013534416 0.01121423 0.006573859 0.008894045 0.010827533 0.009280742 0.008507348 0.0073472545 0.010440836 0.008507348 0.011987626 0.0061871614 0.008894045 0.010440836 0.009280742 0.011987626 0.011987626 0.010054138 0.011600928 0.011987626 0.008894045 0.0081206495 0.008507348 0.006960557 0.012374323 0.012374323 0.010440836 0.010827533 0.013534416 0.008507348 0.008507348 0.011600928 0.015081206 0.0077339523 0.006573859 0.011600928 0.010827533 0.0081206495 0.006960557 0.010827533 0.01121423 0.012374323 0.011987626 0.008507348 0.011987626 0.0054137665 0.01121423 0.010054138 0.014307811 0.010440836 0.009280742 0.014307811 0.008507348 0.016627997 0.010827533 0.010827533 0.0158546 0.012374323 0.010054138 0.010054138 0.012374323 0.009280742 0.00966744 0.009280742 0.00966744 0.010054138 0.013534416 6.5445423 0.0 0.0 0.0 2.0 115712.0 90112.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 512.0 512.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9779115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0