Input: 0.60222787 0.005937178 0.0023716518 0.002073854 0.0040940503 0.0018619077 0.0015480125 0.0014460637 0.004359654 0.0012582632 0.0012958234 0.0011509487 0.0033965057 0.0014111864 0.0008933937 0.0022240942 0.0033643115 0.0011750944 0.00089875946 0.00094436813 0.0018619077 0.0028116414 0.000829005 0.00088266225 0.0015560611 0.0010302198 0.0007270561 0.00081559067 0.0016633756 0.0009094909 0.0008102249 0.00087461364 0.00331602 0.0008451022 0.0008048592 0.00083437073 0.0044133114 0.001024854 0.0008102249 0.00068144745 0.0010141226 0.0007833963 0.000729739 0.0010758284 0.0009953425 0.0008263221 0.0010516827 0.00071632466 0.0014648438 0.00086924795 0.00090412516 0.0020336108 0.0010892428 0.0010355855 0.00086924795 0.0008424193 0.0013146034 0.0013467977 0.00079949346 0.00167679 0.0010007083 0.0011804602 0.00069754466 0.0008933937 0.0036138177 0.00924515 0.0008638822 0.0013199691 0.0027713985 0.0034099203 0.0018484934 0.0011992402 0.0014943553 0.0010972914 0.0008638822 0.0008799794 0.0015909383 0.0023179946 0.0011724116 0.00083437073 0.004163805 0.0024414062 0.0016472786 0.0028331045 0.0012716776 0.0017653245 0.0035816235 0.002548721 0.0011858259 0.0017867874 0.0007136418 0.0013628949 0.0010677798 0.0014541122 0.0023206773 0.0019611735 0.0010624141 0.0018672734 0.0009148566 0.0014353322 0.0018216646 0.0035977205 0.0017841046 0.0010999743 0.0021570227 0.0018431275 0.0032972398 0.0008585165 0.0018243475 0.0011777773 0.0019048335 0.0021060482 0.001617767 0.00084778504 0.0022723859 0.0017787388 0.0064200936 0.005167196 0.0013307006 0.0014299665 0.001381675 0.00094436813 0.0010758284 0.00066803314 0.0013494806 0.0013575292 0.00112412 0.00091753947 0.00217312 0.0012394831 0.0007082761 0.0049874443 0.0012985062 0.0033401656 0.0007538848 0.0008451022 0.0023501888 0.0039196643 0.0012528975 0.011179495 0.00088266225 0.003155048 0.00080754206 0.00089071086 0.001164363 0.0007833963 0.0007136418 0.000987294 0.0009094909 0.0008585165 0.00075656764 0.00070291036 0.0010007083 0.0006653503 0.00070291036 0.0006787646 0.00083437073 0.00075925054 0.0006358388 0.0006438874 0.0009550996 0.000947051 0.00073778763 0.00087729655 0.0009309538 0.0008316878 0.00077266485 0.0006921789 0.00097387965 0.0007216904 0.0007833963 0.00065461884 0.00064657023 0.00061437587 0.00076461624 0.00075120194 0.00097387965 0.0006358388 0.0006787646 0.0006412045 0.0009148566 0.0006868132 0.0008048592 0.0008504679 0.0014326493 0.00085315073 0.0007404705 0.0009685139 0.0008424193 0.0006841303 0.00084778504 0.0008638822 0.0040323446 0.0016097184 0.0017519102 0.0027660327 0.0017975189 0.0007082761 0.001242166 0.0016955701 0.001282409 0.0013709435 0.0007351047 0.00072437327 0.0035494291 0.00071632466 0.0011858259 0.00082095637 0.0011858259 0.0008182735 0.0009953425 0.00089071086 0.00084778504 0.00077266485 0.0010946086 0.0010704627 0.0013360663 0.00079412776 0.0011509487 0.0009846111 0.0009363195 0.00069486175 0.000788762 0.0006921789 0.001282409 0.00080754206 0.0007351047 0.0007538848 0.0009390024 0.000788762 0.00074315333 0.0006841303 0.00558304 0.0015185011 0.0007055932 0.0022187287 0.0018458104 0.000788762 0.0013655778 0.0008129078 0.002111414 0.0012394831 0.0007833963 0.0008799794 0.0013548463 0.00069486175 0.0015238668 0.0010275369 0.0023582375 0.0011294858 0.0007216904 0.00095778244 0.002331409 0.0010302198 0.0016741072 0.01719984 0.5096419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026028214 2.2867165e-05 2.6902549e-06 5.3805097e-06 4.035382e-06 5.3805097e-06 8.070764e-06 1.3451274e-05 4.707946e-05 4.035382e-06 5.3805097e-06 9.415892e-06 5.3805097e-06 8.070764e-06 6.725637e-06 4.035382e-06 0.007622837 1.2106147e-05 2.1522039e-05 3.0937932e-05 0.000111645575 3.9008693e-05 0.00021791064 0.00011030045 1.7486656e-05 9.415892e-06 8.070764e-06 1.0761019e-05 8.070764e-06 2.6902548e-05 8.070764e-06 9.415892e-06 0.0024373708 1.8831784e-05 2.9592804e-05 6.725637e-06 2.2867165e-05 1.6141528e-05 7.532714e-05 2.5557421e-05 6.725637e-06 1.0761019e-05 1.2106147e-05 2.6902548e-05 8.070764e-06 4.035382e-06 2.017691e-05 3.3628185e-05 0.0068803267 0.00011971634 0.00021791064 4.035382e-05 0.00013451274 3.766357e-05 0.00040488335 0.00018293732 7.6672266e-05 2.017691e-05 0.0 2.5557421e-05 1.3451274e-05 2.9592804e-05 6.725637e-06 7.398201e-05 0.0020957084 4.3044078e-05 2.4212293e-05 1.2106147e-05 1.2106147e-05 1.3451274e-05 2.017691e-05 2.017691e-05 8.205277e-05 8.070764e-06 1.4796402e-05 1.2106147e-05 0.0002838219 1.8831784e-05 2.017691e-05 7.398201e-05 0.006153958 8.33979e-05 6.86015e-05 4.8424587e-05 0.0004169895 5.784048e-05 0.00021522038 0.00020176911 0.00022867166 0.00023674243 0.00013182248 4.169895e-05 6.1875864e-05 6.1875864e-05 5.2459967e-05 0.00020311424 0.015037179 0.0002542291 0.0012940125 0.00039950284 0.0013007382 0.0002649901 0.0029686962 0.0015872504 8.877841e-05 0.00017217631 0.00022463627 4.035382e-05 7.398201e-05 5.9185608e-05 8.070764e-05 0.0009469697 0.007875721 0.000103574814 0.0003833613 0.0001667958 0.00053805095 0.00035242338 0.0016450909 0.00087029743 0.00040084796 2.6902548e-05 3.3628185e-05 4.9769715e-05 0.00046003357 4.4389206e-05 0.0001519994 0.00067121856 0.007314803 0.00019504348 0.00020714963 0.00014661888 0.0016719934 0.00068870524 0.0036439502 0.0021454783 0.0007801739 0.0003039988 0.0001425835 0.0002555742 0.00021925577 0.0002461583 0.00021925577 0.0011030044 0.007039052 0.00032148545 0.00045330793 0.0003187952 0.0015993565 0.00040084796 0.0013693396 0.0012590393 0.0013088089 0.000102229686 0.0002797865 0.0004021931 0.00014930914 0.000348388 9.281379e-05 0.0010841727 0.00538589 0.00026364496 0.00048693613 0.000517874 0.0015361354 0.00058782066 0.0017257985 0.00092410255 0.0004923166 0.0005515022 0.00019773372 0.00014527376 0.00018831783 0.00031072443 0.00018562758 0.000274406 0.00221677 0.00020445937 0.00024750346 0.00017755682 0.0006577673 0.00016814092 0.00042506025 0.00031475982 8.474303e-05 0.00012644197 0.00015065428 0.00010088456 0.00012240659 0.00017755682 0.00012375173 0.000211185 0.017062942 0.0034193138 0.0023620438 0.0023095838 0.006461992 0.006961034 0.0022678848 0.0044483365 0.01092109 0.0006012719 0.00072905904 0.0010222968 0.004972936 0.0014002776 0.0038887633 0.0083061615 0.02818849 0.0067337076 0.0051007234 0.0045976457 0.010860559 0.013424371 0.0046837335 0.008131295 0.016286803 0.0009805979 0.0014446669 0.0020284522 0.010148986 0.0029915634 0.007431829 0.014707623 0.009313663 0.009398405 0.009048672 0.009282724 0.009266582 0.0091603175 0.00908499 0.00950467 0.009064814 0.009667431 0.009302901 0.009258512 0.009336529 0.0093634315 0.009323078 0.009383609 954.0 9.538784 9100.0 0.015054945 0.0034065933 0.0023076923 0.0016483517 0.016373627 0.002087912 0.004065934 0.0010989011 0.0034065933 0.0026373626 0.0023076923 0.003076923 0.0035164836 0.0035164836 0.009010989 0.0015384615 0.00956044 0.0045054946 0.005934066 0.004945055 0.005274725 0.004285714 0.005054945 0.003076923 0.0056043956 0.0036263736 0.002087912 0.0037362638 0.0024175823 0.001978022 0.0024175823 0.005934066 0.012527472 0.023296703 0.0054945056 0.019010989 0.01912088 0.017362637 0.008791209 0.012307692 0.0076923077 0.007252747 0.0028571428 0.0023076923 0.009450549 0.01054945 0.0067032967 0.006373626 0.018461538 0.0078021977 0.011428571 0.021648351 0.012087912 0.007912088 0.022307692 0.019340659 0.0037362638 0.0037362638 0.0014285714 0.0035164836 0.0032967033 0.0034065933 0.0035164836 0.011098901 0.0023076923 0.02956044 0.0076923077 0.018791208 0.020769231 0.07021978 0.0058241757 0.011428571 0.008571428 0.03175824 0.0069230767 0.0046153846 0.026043955 0.012637363 0.033626374 0.03901099 0.014835165 0.002967033 0.035054944 0.022967033 0.055934064 0.016813187 0.0047252746 0.014175824 0.01021978 0.007142857 0.0023076923 0.0017582418 0.0034065933 0.0016483517 0.0023076923 0.0026373626 5.9508133 0.0 0.0 0.0 2.0 372736.0 278528.0 0.0 0.0 252.0 0.0 1.0 0.0 0.0 0.0 1069405060.0 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 81920.0 4096.0 4096.0 5.0 0.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8741603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7756152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1869285 0.0 4.0143056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54310.0 0.0 12176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -3.0 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 -1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -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 -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 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 99200.0 12176.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1032.0 86016.0 0.0 0.0 0.0 0.0


Input: 0.24039464 0.020395478 0.008781574 0.0075788437 0.007849945 0.0063326783 0.006307216 0.0014109231 0.006439022 0.0015532137 0.0022197326 0.0017778829 0.0016805263 0.0024009657 0.0022077502 0.006385101 0.004521844 0.0013315399 0.0008747124 0.0009166507 0.0014273989 0.0021673096 0.0010948883 0.0011503068 0.0031962951 0.0014259011 0.00070845714 0.0006305718 0.0009915405 0.0017973543 0.00049726805 0.0008567389 0.013751258 0.000563171 0.0007833469 0.0008447565 0.02799529 0.0035512724 0.00044933858 0.00093013083 0.003599202 0.0008222896 0.00065154093 0.0014169143 0.0007998227 0.001374976 0.001726958 0.00042537384 0.004679112 0.00076088 0.0011098663 0.0038613162 0.00093462423 0.0005736556 0.00054220186 0.0005242283 0.0033700394 0.001646077 0.00061559386 0.0017134778 0.00088669476 0.00093312643 0.0005736556 0.0006275762 0.008702191 0.0067700343 0.0010963861 0.0015472225 0.014973459 0.003970655 0.0010214964 0.00094810437 0.048799668 0.00371603 0.00090317056 0.0010364744 0.00816598 0.0022991158 0.0013360333 0.0011503068 0.004345104 0.0011652847 0.0014034342 0.017639535 0.002706516 0.0014663415 0.00090167276 0.0013105709 0.0020519795 0.00036995544 0.0004688099 0.0006620255 0.001960614 0.0011518046 0.0007998227 0.0016355924 0.0021448429 0.004644663 0.0012147119 0.0032097753 0.0026570887 0.0071070385 0.003094445 0.0012716282 0.0025207894 0.0040575275 0.00060361146 0.001463346 0.0037474837 0.0017703939 0.004053034 0.004118937 0.003934708 0.0005796468 0.0048543545 0.0041743554 0.008769591 0.0045518 0.0009451088 0.0010963861 0.0024698644 0.001133831 0.00071444834 0.00033700393 0.0015172666 0.0005901313 0.0017703939 0.00066801667 0.0030899516 0.0016011432 0.0010199986 0.00913056 0.00656933 0.0048438697 0.0005062548 0.00048229008 0.002120878 0.012585973 0.00068149687 0.04208056 0.00267656 0.00773761 0.0007264307 0.0006964748 0.0023290715 0.0008732146 0.0013839628 0.0014244033 0.0025881901 0.018007992 0.0009750647 0.0005377085 0.0016925086 0.0009166507 0.0006230828 0.00054220186 0.00055268646 0.00054969086 0.0003744488 0.0004403518 0.0014528614 0.00049127685 0.0007548888 0.0005691622 0.00090017496 0.00071594614 0.0008028183 0.0014333901 0.0024923312 0.0018347992 0.0027379696 0.0007279285 0.0036306556 0.0025792033 0.0014019364 0.0011443156 0.0014693371 0.0013165621 0.00083726755 0.0010005272 0.00093013083 0.00064854533 0.0015532137 0.0016131254 0.001726958 0.0012341833 0.0010888971 0.0007369153 0.0007623778 0.00041638708 0.0007518932 0.000629074 0.006537876 0.0025282784 0.0010709236 0.0032457223 0.0030345332 0.0006275762 0.0013495135 0.0033835194 0.002902727 0.0017673984 0.00094960217 0.0012132141 0.0096308235 0.000687488 0.0008013205 0.0009451088 0.0017838741 0.00083876535 0.0015502181 0.0008073116 0.00058264233 0.0005032592 0.00071145274 0.00071295054 0.0015352401 0.00082828075 0.00046581432 0.0006395586 0.0005841401 0.00047929448 0.00038942677 0.00047629888 0.0020594685 0.00055418425 0.0005317173 0.00048828125 0.0005721578 0.00033101274 0.00035347967 0.00082528515 0.009169502 0.002201759 0.00094810437 0.0036561182 0.002348543 0.00054519746 0.00039991134 0.0005991181 0.0021538297 0.00054819306 0.0005601754 0.0005721578 0.0005062548 0.0004718055 0.0011622891 0.00094810437 0.0022871334 0.0009810559 0.00076836895 0.0007908359 0.0009675757 0.0008836992 0.0025792033 0.07132202 0.0015360983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014423423 0.0 1.500096e-06 0.0 1.500096e-06 0.0 0.0 0.0 7.50048e-07 0.0 6.750432e-05 0.0 0.0 0.0 0.0 2.2501441e-05 0.004285024 3.3002114e-05 1.27508165e-05 6.750432e-06 1.9501249e-05 1.12507205e-05 1.6501057e-05 0.0002280146 0.0013875888 4.5002882e-05 6.525418e-05 3.75024e-06 6.000384e-06 6.000384e-06 5.250336e-06 1.27508165e-05 0.006844188 9.3756e-05 6.150394e-05 3.9002498e-05 9.6756194e-05 4.2002688e-05 6.600423e-05 7.425475e-05 0.0014025897 0.00013275849 4.0502593e-05 2.7001728e-05 3.1502015e-05 2.7751776e-05 2.7751776e-05 0.0002092634 0.0067226803 0.0001500096 4.4252833e-05 4.4252833e-05 8.4005376e-05 4.2752737e-05 4.4252833e-05 9.0755806e-05 0.0014123404 9.750624e-05 0.0011325725 4.7253023e-05 3.6002304e-05 3.825245e-05 3.5252255e-05 0.0007305468 0.005800871 9.6006144e-05 0.0001545099 4.2752737e-05 0.00015901017 9.4506046e-05 0.0003187704 0.00023851526 0.0011670747 0.00042752735 0.0015886016 0.00029176867 5.1003266e-05 4.3502783e-05 5.1003266e-05 0.0017633629 0.020881336 0.0004560292 0.00077104935 0.00029776906 0.0014978459 0.0005445348 0.0009765625 0.00093530986 0.0013800883 0.0006480415 0.0013313352 0.0004140265 0.00035027243 0.0001687608 0.00022426435 0.0029169368 0.05403946 0.0006052887 0.0058091218 0.0012855823 0.0025899156 0.0012420795 0.018982215 0.009000576 0.0030999484 0.0010905698 0.0006360407 0.00023476503 0.00028801843 0.00030826972 0.00046878 0.0047740554 0.040213075 0.0019268733 0.00359573 0.0017378612 0.0020671324 0.0016373548 0.0073932232 0.004261023 0.0026604203 0.0009960637 0.001593852 0.0010508172 0.0008340534 0.0006022885 0.001031316 0.006739931 0.027767528 0.0015338481 0.0015240975 0.0010973202 0.001702609 0.008390037 0.004624046 0.0030391945 0.0036827356 0.008642053 0.0032792098 0.0008243028 0.0006727931 0.0008003012 0.0007943008 0.013038835 0.02624718 0.0033474641 0.0033017113 0.0016688568 0.002358901 0.009617115 0.0029011858 0.0022313928 0.0014108403 0.01077819 0.0051295785 0.0018383677 0.0011175715 0.0010410666 0.0011078209 0.021140853 0.02593516 0.0021188855 0.0064721643 0.001593102 0.009839879 0.0042235204 0.0021616383 0.0021773893 0.007871754 0.0046330467 0.0043787803 0.0027001728 0.0025854155 0.0013095838 0.0016801076 0.009413103 0.04577318 0.0042415215 0.023023473 0.0057251165 0.03843396 0.004141765 0.003340714 0.004707301 0.030277187 0.003295711 0.002406154 0.0036782355 0.012099024 0.0015826013 0.006080639 0.007814 0.04435559 0.0070211994 0.011858259 0.0073009674 0.038383707 0.008087018 0.0051198276 0.008343534 0.032665342 0.0025389125 0.0015811012 0.0042865244 0.017461117 0.005329091 0.010957452 0.01437242 0.0110399565 0.001986877 0.0031171995 0.0025404126 0.009348598 0.0020183793 0.0017671131 0.0028216806 0.008274529 0.000531784 0.00047403033 0.0013395858 0.0051850816 0.0016486056 0.003153202 0.0046607982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1939.0 11.375967 22058.0 0.04728443 0.0013600508 0.0029921117 0.0013600508 0.034363948 0.078610934 0.0005440203 0.003264122 0.0038081422 0.0007253604 0.00077069545 0.004714843 0.0012240456 0.0044881674 0.005258863 0.0015867259 0.012648473 0.0027201015 0.0015867259 0.008885665 0.0022667514 0.0012693807 0.0017227309 0.0007253604 0.007480279 0.016275274 0.001768066 0.003717472 0.0031281167 0.0029014417 0.0027654367 0.005032188 0.018088676 0.044428326 0.0015413909 0.005349533 0.02715568 0.009339015 0.004986853 0.0039441474 0.038852118 0.005122858 0.00077069545 0.0013600508 0.012421797 0.003264122 0.002040076 0.001813401 0.004941518 0.001768066 0.0021760813 0.006528244 0.008069634 0.008704325 0.013645843 0.016637955 0.0024027564 0.0006800254 0.00058935536 0.0021760813 0.005440203 0.005621543 0.00865899 0.01731798 0.003581467 0.026838336 0.008341645 0.02543295 0.01822468 0.050140537 0.009973706 0.006573579 0.0073442743 0.025206275 0.0010880406 0.003581467 0.020219421 0.009475021 0.022259498 0.031689182 0.012331127 0.00095203554 0.03191586 0.028969081 0.044927012 0.01586726 0.005122858 0.0036721372 0.0063922387 0.0071175992 0.0009973706 0.00063469034 0.0023120863 0.00063469034 0.013464503 0.001632061 5.684425 0.0 0.0 0.0 3.0 667648.0 708608.0 0.0 0.0 138.0 1.0 1.0 0.0 0.0 0.0 1439223700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 325120.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92672.0 0.0 0.0 0.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -325120.0 0.0 214016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8454285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2946334 0.0 0.0 0.0 0.0 5.7288866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.087054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0733957 0.0 5.084831 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92444.0 0.0 0.0 0.0 0.0 15636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -324968.0 0.0 213560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 420356.0 213560.0 483328.0 15636.0 466944.0 7376.0 832200200.0 3240.0 700416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 390640.0 0.0 0.0 1144.0 331776.0 0.0 0.0 0.0 0.0


Input: 0.405971 0.023856027 0.013671875 0.004603795 0.0041852677 0.0026506695 0.0055803573 0.0023716518 0.0026506695 0.0009765625 0.004045759 0.0013950893 0.0008370536 0.0004185268 0.0029296875 0.00027901787 0.0032087055 0.0013950893 0.0008370536 0.0009765625 0.001953125 0.0012555803 0.0015345982 0.00027901787 0.00013950893 0.0012555803 0.0004185268 0.0013950893 0.0012555803 0.00013950893 0.0012555803 0.00069754466 0.007254464 0.0043247766 0.00055803574 0.0009765625 0.001953125 0.00055803574 0.0033482143 0.0008370536 0.0013950893 0.001813616 0.00069754466 0.00013950893 0.0004185268 0.00013950893 0.026367188 0.0004185268 0.008649553 0.002232143 0.002232143 0.0012555803 0.0011160715 0.00055803574 0.0004185268 0.0008370536 0.0012555803 0.0025111607 0.00069754466 0.0 0.0004185268 0.0 0.00013950893 0.00027901787 0.001813616 0.007114955 0.00516183 0.001813616 0.001953125 0.007952009 0.002232143 0.0011160715 0.0013950893 0.011300223 0.0025111607 0.00013950893 0.00069754466 0.0025111607 0.0027901786 0.001953125 0.005859375 0.00013950893 0.0020926339 0.005301339 0.0050223214 0.010044643 0.0011160715 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.00013950893 0.00013950893 0.00069754466 0.0009765625 0.013811384 0.0041852677 0.0054408484 0.008649553 0.040876117 0.001813616 0.015206473 0.0012555803 0.037109375 0.00069754466 0.008649553 0.014927455 0.0069754464 0.046875 0.015764508 0.0048828125 0.00027901787 0.0234375 0.013671875 0.03362165 0.008091518 0.0020926339 0.0012555803 0.00069754466 0.013392857 0.0015345982 0.00013950893 0.00027901787 0.0 0.00013950893 0.00027901787 0.0008370536 0.00027901787 0.0 0.00027901787 0.00013950893 0.0004185268 0.0 0.0 0.0 0.0004185268 0.00013950893 0.00027901787 0.0 0.0 0.00013950893 0.00055803574 0.00055803574 0.00027901787 0.00013950893 0.00013950893 0.00013950893 0.00013950893 0.00055803574 0.00013950893 0.00013950893 0.00013950893 0.00013950893 0.0008370536 0.00013950893 0.00013950893 0.0 0.0 0.0 0.0004185268 0.0 0.0 0.00013950893 0.00027901787 0.00013950893 0.00013950893 0.00027901787 0.00013950893 0.0 0.00027901787 0.00027901787 0.0 0.0 0.00013950893 0.00013950893 0.00013950893 0.00013950893 0.0004185268 0.00027901787 0.0 0.0 0.0004185268 0.00027901787 0.0 0.00027901787 0.0 0.00027901787 0.0004185268 0.0 0.00013950893 0.00013950893 0.0 0.0 0.00013950893 0.0004185268 0.0 0.00013950893 0.0 0.00013950893 0.0 0.0 0.00027901787 0.00013950893 0.0004185268 0.0 0.0 0.00027901787 0.0 0.00013950893 0.00013950893 0.00013950893 0.00013950893 0.0 0.00027901787 0.0008370536 0.0 0.0 0.00013950893 0.0 0.00013950893 0.0 0.00013950893 0.0004185268 0.0 0.0 0.00013950893 0.0 0.0 0.0 0.00013950893 0.00055803574 0.0 0.0 0.00013950893 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0004185268 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.00013950893 0.00013950893 0.0 0.00013950893 0.00013950893 0.00027901787 0.0004185268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12589519 0.0010579427 0.0026855469 0.0016276041 0.004231771 0.0032552083 0.019042969 0.00789388 0.00016276042 0.0 0.0 0.00016276042 0.0 0.0 0.00032552084 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11319987 0.0050455728 0.010253906 0.0040690103 0.0040690103 0.0021158855 0.012613933 0.005533854 0.0017089844 0.0020345051 0.0011393229 0.0009765625 0.0010579427 0.0013834635 0.00048828125 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09285482 0.0053710938 0.018636068 0.008951823 0.025309244 0.01578776 0.111328125 0.052978516 0.00032552084 8.138021e-05 0.00016276042 0.0007324219 0.0 0.0 0.00048828125 0.00032552084 0.08935547 0.006591797 0.023763021 0.009033203 0.024007162 0.014322917 0.10782877 0.049397785 0.0016276041 0.0020345051 0.0012207031 0.0012207031 0.0007324219 0.0010579427 0.00048828125 0.0006510417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 116.0 23.103449 2680.0 0.0029850747 0.009328358 0.00074626866 0.0011194029 0.0018656716 0.00037313433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04477612 0.0011194029 0.017537313 0.005597015 0.004104478 0.0018656716 0.0014925373 0.0014925373 0.00074626866 0.0018656716 0.00074626866 0.00074626866 0.0 0.0 0.00037313433 0.0 0.00037313433 0.0 0.00037313433 0.018656716 0.012686567 0.0029850747 0.0044776117 0.019776119 0.003358209 0.0014925373 0.0011194029 0.027611941 0.004104478 0.0 0.0 0.0044776117 0.0044776117 0.0029850747 0.013059702 0.0 0.0052238805 0.010447761 0.010447761 0.025 0.00074626866 0.00074626866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011194029 0.00037313433 0.029477611 0.010074627 0.011940299 0.020149253 0.09477612 0.0026119403 0.03731343 0.0029850747 0.0880597 0.00074626866 0.0022388059 0.032462686 0.015671642 0.11343284 0.03022388 0.0063432837 0.0 0.054104477 0.029477611 0.081343286 0.018656716 0.005597015 0.0029850747 0.0018656716 0.030970149 0.0014925373 0.0 0.0 0.0 0.0 0.0 4.849788 0.0 0.0 0.0 1.0 7168.0 32768.0 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 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 5120.0 512.0 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 -5120.0 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 -5.2517285 0.0 2.6529958 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 -4884.0 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 75.0 12992.0 1024.0 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: 0.12144016 0.010420537 0.0070518134 0.008068146 0.0073179533 0.005987254 0.0033472893 0.003786688 0.012104899 0.0022094967 0.0020148037 0.0016379212 0.006494527 0.0033079935 0.0015503987 0.008593281 0.007569804 0.0016129147 0.0013003343 0.0018308279 0.0057800575 0.0023523907 0.0012217427 0.0011931639 0.0038224114 0.0017468778 0.001182447 0.0012235289 0.003220471 0.0011895916 0.0010609871 0.001368209 0.0044797235 0.0010127604 0.0015325369 0.0011413649 0.01904597 0.0024274099 0.0010181189 0.0010877798 0.0021934211 0.0013539196 0.0010127604 0.0051691863 0.0017111542 0.0011663714 0.001080635 0.0009430997 0.0038867136 0.002264868 0.0021987797 0.006265897 0.002790003 0.004747649 0.0022612957 0.0023077363 0.0032454773 0.0031758167 0.0024220513 0.0049405564 0.0026917637 0.0023773971 0.002118402 0.002170201 0.00432254 0.00230595 0.0017933183 0.0018951301 0.010347304 0.020505274 0.0031115145 0.0132909175 0.0028310851 0.001450373 0.0014646624 0.0012056672 0.004318968 0.0070750336 0.0015879084 0.0012896174 0.0065820497 0.0032222571 0.0013360578 0.0030615015 0.0026935497 0.0044386415 0.003395516 0.003034709 0.0023327428 0.0044297106 0.0014378697 0.0017611672 0.0036759453 0.0049119773 0.0022595096 0.001934426 0.0020916092 0.0016432797 0.0010484839 0.001523606 0.0039867396 0.0036598698 0.0025185049 0.0011949501 0.006090852 0.005165614 0.005515704 0.0024363408 0.002295233 0.0012914035 0.0016950787 0.0018808407 0.002407762 0.0009806093 0.0026060273 0.0021737732 0.008336072 0.008264625 0.0016790031 0.001687934 0.0023899002 0.0013592781 0.0010216912 0.0010699179 0.0020898231 0.0026167443 0.0017129405 0.0014985997 0.0031186591 0.0017843874 0.0011895916 0.009768584 0.0036384356 0.012606814 0.0012628247 0.001111 0.0025077877 0.01210847 0.0015218199 0.029789804 0.0017379469 0.011056415 0.0011252894 0.0011842331 0.0021434084 0.0010163328 0.0010984967 0.0013414164 0.0013914292 0.0017808151 0.000935955 0.0011360064 0.0018308279 0.0011842331 0.0011074276 0.0010056157 0.0014878826 0.0023773971 0.000987754 0.0013896431 0.002222 0.0021969934 0.0013396302 0.0016932925 0.0015396817 0.0018308279 0.0009609614 0.0010270498 0.001841545 0.0010127604 0.00094845815 0.0011092138 0.0016915064 0.0010127604 0.0009752508 0.0033669372 0.002025521 0.0011002829 0.0010216912 0.0011235032 0.0018897717 0.0022773712 0.0021737732 0.0017736703 0.0030740048 0.0013699952 0.0011145723 0.0011306478 0.0014342974 0.0017718842 0.0012789003 0.0011306478 0.007298305 0.0058711525 0.0034437426 0.0034741077 0.0030436397 0.0011020692 0.003499114 0.0056139436 0.005338873 0.0030668601 0.0019808665 0.0013039067 0.0032490497 0.0012020948 0.001420008 0.0012985482 0.0031097282 0.001687934 0.0017218713 0.0014092909 0.0026613986 0.0012806865 0.0016932925 0.0013199822 0.0029096769 0.0020219486 0.0011199309 0.0016021978 0.015062802 0.012839016 0.0040599727 0.0017075819 0.004195722 0.001862979 0.0012128119 0.001059201 0.003138307 0.0014753793 0.0010913521 0.0010699179 0.013649939 0.0048226686 0.001225315 0.0038313423 0.0057050386 0.0010895659 0.0012092395 0.001573619 0.0046601268 0.0014593038 0.0015414678 0.0014539453 0.0031936783 0.0021987797 0.0027721415 0.0021076847 0.0059104483 0.0018076077 0.0020112314 0.003436598 0.00817353 0.0040278216 0.00824855 0.06769955 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010568378 0.0004524441 0.00054472475 0.0003879372 0.0015607082 0.0005026161 0.0013994409 0.00084844464 0.0004775301 0.0003942087 0.000504408 0.00080185634 0.0006907612 0.0005357655 0.00076960295 0.0015795226 0.0107395 0.0014290066 0.0015006809 0.018543936 0.0024539493 0.0018276949 0.0024888904 0.0021063287 0.002028383 0.0015678756 0.0016816586 0.0018438217 0.0019217675 0.0019316227 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058377832 0.015338303 0.021607118 0.010409798 0.032688864 0.020394925 0.013033974 0.013563467 0.037461475 0.0032575976 0.0057249856 0.004989428 0.01947391 0.020557985 0.016534368 0.031356614 0.013892273 0.010720685 0.010659762 0.010544187 0.01095721 0.010460866 0.010614966 0.010344395 0.011291392 0.01093302 0.010693807 0.010793256 0.010445635 0.01053254 0.010630196 0.010797735 2008.0 10.393925 20871.0 0.020842317 0.0038330697 0.0054621245 0.0037372431 0.01322409 0.0036414163 0.0042163767 0.006564132 0.0062287385 0.0033539361 0.004599684 0.0054621245 0.006803699 0.004503857 0.006037085 0.004887164 0.024339993 0.017823774 0.017009247 0.018638302 0.019644482 0.019165348 0.016578026 0.018111255 0.019836137 0.019069523 0.018207083 0.018925782 0.017967515 0.015619759 0.015523933 0.014374012 0.0076661394 0.0081931865 0.005030904 0.009247281 0.010636768 0.0062766518 0.0070432657 0.007857793 0.008384841 0.0057016914 0.003593503 0.0041684634 0.008145274 0.0057496047 0.004503857 0.006947439 0.013511571 0.0070432657 0.005893345 0.0114512965 0.009630588 0.0057496047 0.0077619664 0.009486848 0.005557951 0.0050788177 0.0049350774 0.0044559436 0.0069953525 0.0043122037 0.004072637 0.007330746 0.007618226 0.017152987 0.008432753 0.016721766 0.016003067 0.03579129 0.00795362 0.00852858 0.011355469 0.017871687 0.008145274 0.0059412583 0.018111255 0.009391021 0.017392553 0.022183891 0.009438935 0.003593503 0.02342964 0.017871687 0.032054048 0.01178669 0.0055100378 0.0062287385 0.009295194 0.0078098797 0.004599684 0.0039288965 0.006564132 0.003593503 0.0034018494 0.005653778 6.321543 0.0 9.0 0.0 6.0 559856.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 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 361472.0 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 -361472.0 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 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -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 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 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 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553872.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.1899625 0.0077270293 0.002322159 0.0020521407 0.0021826494 0.0032942255 0.001444599 0.0018586273 0.0025741763 0.0030242072 0.0015391054 0.0018721282 0.0019261319 0.0016561134 0.0016471128 0.0029567026 0.0033392287 0.0032897254 0.0018991301 0.0014490993 0.0017011166 0.0020341394 0.0014761011 0.0017686212 0.0019081307 0.0018766285 0.0018991301 0.0016201109 0.0019261319 0.0018046236 0.0020476403 0.0023266594 0.0033167272 0.0023131585 0.0023716625 0.0022276526 0.0027631894 0.0024301664 0.0021151449 0.0024166654 0.002146647 0.001957634 0.002218652 0.0023896636 0.0019936366 0.0022681553 0.0022996576 0.0021916502 0.0025651758 0.002088143 0.0021241454 0.0024571684 0.002088143 0.0023896636 0.0020386397 0.0022141517 0.0021961504 0.0025066717 0.002074642 0.0023896636 0.0022951572 0.0024976712 0.0025651758 0.002596678 0.0026011781 0.0024931708 0.002322159 0.0025471745 0.0027181862 0.0044328035 0.002596678 0.0025921776 0.0024211658 0.0025471745 0.0021916502 0.0024301664 0.0026641826 0.0025921776 0.0024031645 0.0026326803 0.003519241 0.003195219 0.0026011781 0.0036857524 0.0028261936 0.004477807 0.003825262 0.0037037537 0.002817193 0.003037708 0.0029702035 0.0035597438 0.0030782109 0.0031727173 0.0032357217 0.006903473 0.0033032263 0.003883766 0.0033932324 0.003708254 0.0040772795 0.0052473596 0.0036902528 0.0037307555 0.0045453114 0.0046893214 0.0049728407 0.004144784 0.0047523254 0.0045588124 0.004923337 0.00525186 0.0054498734 0.0045588124 0.0049908417 0.005386869 0.0063724364 0.006142921 0.0051303515 0.007466011 0.0062059253 0.005206857 0.006030413 0.005377868 0.0060619153 0.00685847 0.0067819646 0.008370574 0.009738667 0.007164491 0.006309432 0.0065614493 0.005710891 0.0074210083 0.004887335 0.0055668815 0.011421782 0.005328365 0.00452731 0.0055893827 0.008186061 0.0077900337 0.0042707925 0.004171786 0.0052788616 0.004117782 0.0036407495 0.0036902528 0.0035957464 0.003591246 0.0033527296 0.0034517364 0.0033302282 0.005220358 0.003271724 0.0033167272 0.003532742 0.0032042195 0.0028801973 0.0030422085 0.0033257278 0.0030872114 0.0027991917 0.0033032263 0.0027316872 0.0029387013 0.0025921776 0.0029387013 0.0030287076 0.002610179 0.0027541886 0.0026776835 0.0026371807 0.0025021713 0.0025741763 0.0027271868 0.0027811904 0.002700185 0.0023446607 0.0026056785 0.002466169 0.0024886704 0.0025066717 0.002511172 0.002614679 0.0022006507 0.0022051511 0.0038297623 0.0021916502 0.0023266594 0.0021151449 0.002524673 0.0031502158 0.0028531954 0.0025651758 0.0026956846 0.0021916502 0.0022591548 0.0023176589 0.0025651758 0.0024616686 0.0025066717 0.0020566408 0.00204314 0.0021331462 0.0019621344 0.0020251388 0.0023896636 0.002308658 0.0020926434 0.0020791425 0.002074642 0.0021871498 0.0020341394 0.002407665 0.0022141517 0.002029639 0.0021961504 0.0021241454 0.0024796699 0.0020341394 0.0021646484 0.0019441332 0.0021511475 0.0024211658 0.0019261319 0.0018316255 0.0018901295 0.0018946298 0.00175062 0.0018046236 0.0018136243 0.0061699226 0.0019756353 0.0016156107 0.002029639 0.0018136243 0.0015976095 0.0015481061 0.0016876156 0.0019396328 0.0015976095 0.0016156107 0.0016561134 0.0016291116 0.0014490993 0.0018136243 0.0015976095 0.0020836426 0.0015166039 0.001489602 0.0014220974 0.001854127 0.0014580999 0.0023896636 0.020242387 0.12093023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003940316 8.175872e-05 2.4981831e-05 2.4981831e-05 2.043968e-05 3.633721e-05 0.00017487282 0.0020280704 0.0026094657 0.000106740554 4.3150438e-05 3.1795058e-05 4.542151e-05 2.043968e-05 7.494549e-05 3.8608287e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.00020666787 0.0022642624 0.002157522 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0033134993 0.00030432412 3.1795058e-05 6.8132267e-06 2.043968e-05 0.00065634085 0.0011173692 0.005957031 0.005773074 0.0013898982 0.0 0.0 2.2710756e-06 0.0 0.0 3.1795058e-05 0.008854924 0.00029978197 0.000270258 0.00020666787 0.00032703488 0.00093341206 0.0054028886 0.011968568 0.010344749 0.0028524708 7.721657e-05 6.586119e-05 4.769259e-05 6.131904e-05 0.00010446948 4.3150438e-05 0.0032703488 4.769259e-05 0.00023846293 0.00014307776 0.00025436046 0.00040425145 0.0021370822 0.005886628 0.004721566 0.0009879179 0.00019758358 2.7252907e-05 2.9523982e-05 1.5897529e-05 1.1355378e-05 0.00023164971 0.0089616645 0.00056095567 0.0006131904 0.00040652254 0.00082212937 0.001230923 0.0055164425 0.007807958 0.0060864827 0.0026208211 0.00094022526 0.00057003996 0.000106740554 7.494549e-05 9.9927325e-05 0.0007903343 0.007719386 0.0004360465 0.0003065952 0.0004474019 0.0010764898 0.002466388 0.0041015623 0.006374909 0.0057140263 0.0037041244 0.0014035247 0.0012990552 0.000390625 0.00021575218 0.00056322676 0.0009901889 0.005337028 0.00041333574 0.0005223474 0.000690407 0.001955396 0.0037404615 0.005564135 0.007869277 0.009116097 0.0049623 0.0030750365 0.0014489462 0.0006131904 0.00032249273 0.00036564318 0.00051553414 0.008041878 0.0008266715 0.0007358285 0.0013399346 0.00411746 0.006979015 0.009656614 0.011028343 0.010664971 0.007698946 0.00510992 0.0028002362 0.0017646258 0.00067678053 0.0009811047 0.0019962755 0.02014217 0.0044649346 0.0027003088 0.0034384085 0.003243096 0.008289426 0.0048873546 0.0045716753 0.00842569 0.0022097565 0.0025890262 0.0019622094 0.0031000182 0.0017328307 0.0040538698 0.007910157 0.008552871 0.004112918 0.010151708 0.009365915 0.008391624 0.010242551 0.008693677 0.009445404 0.016835483 0.01089662 0.009674782 0.0106172785 0.009867824 0.009590752 0.0059933686 0.011055596 0.02252907 0.021048328 0.022095295 0.021295875 0.022251999 0.02210665 0.021902252 0.021984011 0.02316043 0.021593386 0.022513172 0.021947674 0.022554051 0.022124818 0.021827307 0.022554051 2009.0 17.288202 34732.0 0.0062766327 0.004203616 0.0048946217 0.0040308647 0.0041748243 0.004318784 0.0035414028 0.004318784 0.004203616 0.004232408 0.0039156973 0.004059657 0.0031383163 0.004549119 0.004491535 0.003973281 0.004059657 0.004002073 0.003944489 0.004980997 0.0034262352 0.0033686515 0.0040308647 0.0046354947 0.0042612 0.0051537487 0.0038293216 0.004318784 0.0048946217 0.004980997 0.005067373 0.005009789 0.005067373 0.006650927 0.005096165 0.0067085107 0.0059599215 0.006679719 0.006679719 0.006622135 0.005499251 0.007025222 0.005384084 0.005873546 0.0073131407 0.0071115973 0.006622135 0.007284349 0.007226765 0.008090522 0.007888978 0.009328573 0.008292065 0.008349649 0.007888978 0.01050904 0.008867903 0.008695152 0.009155822 0.010307497 0.009616492 0.0102787055 0.009616492 0.0125244735 0.0101059545 0.013676149 0.012466889 0.014108027 0.014482322 0.019434527 0.012121387 0.0140792355 0.014712657 0.016872048 0.01430957 0.01537487 0.018081307 0.017390303 0.018743522 0.019866405 0.01796614 0.018369228 0.018513186 0.021565128 0.023206266 0.021392375 0.021248417 0.028043304 0.021997005 0.0202407 0.025020154 0.021795463 0.022544052 0.025682367 0.026862836 0.03322584 6.2848744 0.0 0.0 0.0 7.0 222207.0 204800.0 1.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 998081660.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 0.0 5.0 1.0 4.0 0.0 15360.0 1024.0 4096.0 4.0 0.0 0.0 2.0 3.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -15360.0 0.0 102912.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3224304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4315763 0.0 7.2096496 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14934.0 0.0 102752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 16732.0 102752.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 624.0 440.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.17574619 0.009450451 0.004661599 0.005001805 0.009863372 0.0032401793 0.0026601846 0.002064608 0.01053253 0.0026065134 0.0014179571 0.0017824016 0.007521752 0.0013322565 0.0010422592 0.0059401845 0.0058518867 0.003479968 0.0016222538 0.0008232462 0.0035708628 0.0027000052 0.0009314541 0.0006128899 0.0029545103 0.0011227658 0.0005514278 0.00078342564 0.0019425494 0.0005211296 0.0010621693 0.00063799415 0.0042504086 0.0005479651 0.0012396304 0.0006094272 0.010500501 0.0012517497 0.00040945894 0.00037829505 0.0014638373 0.00061115855 0.0006414568 0.0020239218 0.0011547954 0.0011824967 0.0008059329 0.00040859327 0.002424724 0.00058345735 0.0005514278 0.0058285138 0.0010327369 0.00067954604 0.00049515965 0.00043196618 0.0014231511 0.0022152334 0.0006605014 0.0036418473 0.0012933016 0.0011617207 0.0005479651 0.0013417788 0.004262528 0.0020100712 0.0048710895 0.0024628132 0.0053021903 0.009050514 0.0039422326 0.0017252677 0.0021788755 0.0059142145 0.003070509 0.0032644179 0.005655381 0.005109147 0.0016586117 0.0008942306 0.009079946 0.0028532275 0.0014499867 0.0031640008 0.002944988 0.0024532909 0.005333354 0.0036756082 0.0012361677 0.002792631 0.0005652784 0.0012249141 0.0012751226 0.002107891 0.0032843282 0.0022567853 0.0010439905 0.0018395354 0.0006016363 0.0013210028 0.0020767273 0.0037379358 0.0031259116 0.00073841115 0.0031051356 0.0018577143 0.0050797146 0.0007401425 0.0020949063 0.00082670886 0.0017806703 0.0018871468 0.001971982 0.0007306202 0.0024671415 0.0019806386 0.011657893 0.010614769 0.0017131484 0.0016153285 0.0013106149 0.0014118975 0.00039387698 0.00059557665 0.0021762785 0.003114658 0.0016084032 0.0011669147 0.0030878223 0.0016213881 0.0009686777 0.0109670935 0.0021295326 0.006353106 0.0006535761 0.00080247025 0.0013738082 0.009277318 0.000980797 0.02909409 0.00091240957 0.008943172 0.00045187646 0.00046918972 0.0010941989 0.00028913168 0.00051420426 0.0008370968 0.00079814193 0.00051939825 0.0003168329 0.00026749008 0.0011322881 0.00075572444 0.00031077326 0.00039733964 0.0006656954 0.00032808655 0.00035925044 0.00065530743 0.0008370968 0.0012335707 0.000592114 0.00066482974 0.00058865134 0.0009046186 0.00031077326 0.00028913168 0.0007886196 0.0004388915 0.0011807653 0.00030038532 0.0006362628 0.0005116073 0.00038781733 0.0003453998 0.0008249775 0.00035232512 0.00043802583 0.00040599628 0.00070984423 0.0009375138 0.0012725256 0.0010561097 0.00251735 0.0005367115 0.0004414885 0.0009063499 0.00082670886 0.0007894853 0.00079727627 0.00066482974 0.008074045 0.0029311373 0.0040383213 0.0046200473 0.0028826601 0.0006942623 0.00273896 0.0034262969 0.002612573 0.0022334123 0.0009193349 0.00088038 0.0126940925 0.00063799415 0.0026480653 0.0014318078 0.0016586117 0.0010361995 0.0011651834 0.00094011077 0.0013253312 0.0006094272 0.00095742405 0.0012378991 0.0020100712 0.00093058846 0.00096954335 0.0018196251 0.0020767273 0.0017252677 0.0016638057 0.0018958035 0.003616743 0.0022386063 0.002483589 0.0024039482 0.0041274847 0.004205394 0.0035552809 0.003091285 0.018107088 0.0058060065 0.0025736182 0.006042333 0.00591508 0.0020074742 0.0031492845 0.0042348267 0.0077546155 0.0065478804 0.0063539715 0.0064188964 0.006154003 0.00429802 0.0064414036 0.0062587485 0.008348461 0.006381673 0.005820723 0.0060899444 0.0107775135 0.007616109 0.008661831 0.12693574 0.014883263 3.4660603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0001663709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036852886 0.00016333809 6.238909e-05 3.9426435e-05 1.1697954e-05 2.989477e-05 2.5995453e-06 2.5995453e-06 1.9496589e-05 2.5995453e-06 2.5995453e-06 2.5995453e-06 3.0328029e-06 2.1662877e-06 2.9461513e-05 0.020785531 0.005130636 0.00026991946 5.502371e-05 7.8419616e-05 1.1697954e-05 4.5058783e-05 0.00020363105 7.75531e-05 3.6393634e-05 6.238909e-05 0.0001174128 6.6288405e-05 1.9063333e-05 4.1592724e-05 9.055083e-05 0.01765178 0.005056982 0.0003682689 0.00019236635 0.00013257681 1.1264696e-05 0.00011784605 0.00023222604 0.00043022473 0.000107881126 9.704969e-05 0.0002417577 0.0002959149 0.00012997726 0.00015120688 0.001979987 0.047242403 0.010626508 0.0012659786 0.00046791814 0.00042329263 4.2025982e-05 0.00036653588 0.00044018967 0.0003071796 0.0003336083 0.00028638323 6.195583e-05 6.8021436e-05 0.00036480284 0.00022832672 0.022199683 0.046812177 0.003288858 0.00010008249 8.05859e-05 4.8091588e-05 5.589022e-05 5.978954e-05 6.498863e-05 4.3759013e-05 0.0001520734 0.00019020007 8.968431e-05 2.7728483e-05 1.7330301e-05 4.072621e-05 0.008818524 0.011766409 0.0052879085 0.00016767067 0.00015943877 4.59253e-05 0.0003132452 5.2424162e-05 0.0002326593 0.00015250666 4.939136e-05 0.00011481325 5.459045e-05 9.358363e-05 6.412212e-05 0.003083494 0.0021545899 0.003945243 0.038772218 0.0010138226 0.0016832056 0.0006009282 0.0041185464 0.00075776747 0.0028521344 0.0018118831 0.00064728677 0.00093713606 0.0005931296 0.00043585707 0.00047744982 0.0037905702 0.004004166 0.009376126 0.010796778 0.0002785846 0.00053680607 0.00028205066 0.0013959558 0.00037216823 0.0009592322 0.0006251906 0.00031714453 0.00013690938 0.00012001234 0.00015900552 0.0002785846 0.00017720234 0.00028031762 0.0019175978 0.007763542 0.0006329893 0.00043239104 0.00034833906 0.0019305956 0.00096616434 0.0035427469 0.002016814 0.00026688664 0.00013127703 0.00015683923 0.00017070347 0.00023439233 0.000415494 0.0006524859 0.0016338142 0.015985036 0.0010606145 0.0013162364 0.0012616459 0.0054685767 0.001534165 0.0044049295 0.002790612 0.00049348036 0.00041246117 0.0005346398 0.00045492043 0.00055630266 0.0003635031 0.00045492043 0.0010623474 0.010253906 0.00087084767 0.0013955225 0.0008695479 0.0050916425 0.0010588814 0.0022039812 0.0027615835 0.0010350522 0.00039556413 0.0004952134 0.00045058783 0.0020059824 0.0006737155 0.000605694 0.00088817795 0.007553412 0.0010237875 0.0014388483 0.00074736925 0.0022178453 0.0013634615 0.0013898902 0.0013968223 0.0028417362 0.00026602013 0.00044018967 0.00045578694 0.0050002253 0.00045448716 0.0010337525 0.0016576434 0.042911127 0.007952009 0.0085247755 0.006932121 0.014795312 0.014209981 0.005150999 0.010449738 0.027977172 0.0024206098 0.0028880949 0.005050483 0.020977898 0.004037527 0.011207939 0.023919716 0.06246924 0.013821349 0.011047634 0.01240373 0.025538798 0.024603829 0.010109198 0.021629084 0.043617338 0.0037277478 0.0041103144 0.0055760248 0.023221739 0.008510478 0.020021698 0.042333595 0.00029548164 0.00016593764 7.8419616e-05 9.358363e-05 8.101916e-05 8.4051964e-05 6.282234e-05 5.632348e-05 9.704969e-05 6.585514e-05 0.000110913934 0.0001806684 0.00016247158 6.0656057e-05 9.4450144e-05 8.491848e-05 2734.0 12.7948065 34981.0 0.021297276 0.00088619534 0.0012578256 0.0011720648 0.0109488005 0.0007432606 0.002144021 0.0017723907 0.0019439124 0.0061461935 0.0027443469 0.006432063 0.0028872816 0.0040879333 0.0104056485 0.0028015207 0.0040879333 0.0013149995 0.0024870643 0.0050027156 0.0027443469 0.000543152 0.0013149995 0.0006860867 0.0019724993 0.0060318457 0.0026014121 0.0028872816 0.0040021725 0.0033160858 0.0009147823 0.009204997 0.02341271 0.021039993 0.0044023897 0.019410538 0.020897059 0.007375432 0.010262714 0.02209771 0.005745976 0.0120065175 0.0013435865 0.0012864126 0.008347388 0.0060604326 0.009119236 0.005460107 0.022040537 0.004745433 0.008633258 0.026442926 0.008175867 0.0067465194 0.027672164 0.021411624 0.007375432 0.004173694 0.00580315 0.003258912 0.002658586 0.00374489 0.004831194 0.016123038 0.0022583688 0.03539064 0.0071467366 0.02032532 0.016980646 0.06303422 0.006517824 0.011663474 0.010062605 0.035819445 0.005860324 0.0027443469 0.028701294 0.012292387 0.030359337 0.03596238 0.013435865 0.00040021725 0.035647925 0.023612818 0.061118893 0.0162088 0.004802607 0.008347388 0.0062605413 0.01958206 0.0010005431 0.0003716303 0.001572282 0.0013149995 0.0012864126 0.0010291301 5.8323083 0.0 0.0 0.0 3.0 1155183.0 1171456.0 0.0 0.0 566.0 0.0 1.0 0.0 0.0 0.0 1156748900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 638976.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0765996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5278006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6523447 0.0 4.595855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166102.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638372.0 0.0 326212.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -2.0 1.0 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 1.0 0.0 -2.0 1.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 -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 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 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 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 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 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 0.0 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 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 2.0 -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 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 797324.0 326212.0 843776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 731680.0 0.0 0.0 2312.0 643072.0 64.0 797148.0 0.0 0.0