Input: 0.2906932 0.016917825 0.003759966 0.0034890866 0.004733649 0.002033616 0.0018038403 0.0017512817 0.005412195 0.0017330883 0.002017444 0.0011637027 0.0033866647 0.001604387 0.0011246207 0.0033704927 0.006900683 0.003200688 0.0015295919 0.0010808217 0.0031892327 0.004939167 0.0007594053 0.000673829 0.0014278437 0.00070549897 0.0006280086 0.0009265149 0.0013463104 0.00066978607 0.0005808406 0.0006408114 0.010642456 0.0006327254 0.0016960277 0.0006455282 0.0019500612 0.001194025 0.0006536142 0.00051682687 0.0011684195 0.0005127839 0.000603077 0.0010936245 0.0009500989 0.00086856564 0.0020167702 0.00070752046 0.0030605313 0.0009965932 0.00093797 0.004288248 0.0010255678 0.0012088493 0.0007715342 0.0021528837 0.0009938978 0.0017297191 0.0006253133 0.0019985768 0.00163134 0.0012957732 0.0005067194 0.0009831166 0.0064303502 0.0022916924 0.0010653237 0.0018961548 0.09292439 0.0051062764 0.0040524076 0.0013651776 0.0016576194 0.0017809301 0.0005875789 0.0005383894 0.0024844075 0.0025922202 0.001304533 0.00094403443 0.0073858397 0.0014891621 0.0013227264 0.0036656298 0.001541047 0.0023341437 0.0033125435 0.0033806001 0.0010093959 0.0017236547 0.00046494202 0.00088271603 0.0010633022 0.0012748846 0.0049728584 0.00200262 0.00093460083 0.004784186 0.0012169352 0.0032586372 0.0057706716 0.009857445 0.013430086 0.0044674864 0.0057551735 0.0053030346 0.003152172 0.0007573838 0.0159401 0.0019244556 0.0061176936 0.0060038166 0.0025241636 0.0004480963 0.006073221 0.0042033456 0.01097061 0.00777127 0.0046137073 0.002778197 0.0016070822 0.0014130195 0.0006192489 0.00046628967 0.0010990151 0.0014918575 0.0006057723 0.0007897276 0.003673042 0.0011199039 0.00055523514 0.0038927102 0.0016084298 0.005902742 0.0008099425 0.00041170954 0.0012384978 0.0044957874 0.0008261144 0.010472651 0.000914386 0.005860965 0.0005902742 0.00046763735 0.0007850108 0.0003645415 0.0003409575 0.001316662 0.00054984447 0.0004993073 0.00038947316 0.00039418996 0.00073784275 0.0021751202 0.0004804401 0.00028705117 0.0005666902 0.0005316511 0.00038475636 0.0003200688 0.000965597 0.0015545236 0.0023974837 0.0006111629 0.0006495712 0.00058016676 0.00051413156 0.00055051834 0.00071560644 0.0003045707 0.00044674863 0.0006482235 0.0006131844 0.0003160258 0.0003483696 0.0002533597 0.00085374137 0.00035106493 0.00041440484 0.00030996135 0.0006010555 0.0010296108 0.00057477615 0.00058151444 0.0010302846 0.0004669635 0.00036858447 0.0006293563 0.0006421591 0.0007337998 0.0006664169 0.00075805763 0.005189157 0.0009952454 0.0013382244 0.001541047 0.0025005795 0.00034297898 0.01319492 0.0020423757 0.0010228724 0.0014568183 0.00042316463 0.00048650455 0.07199594 0.0003342192 0.0006084676 0.00042922908 0.0011219253 0.00068393647 0.00054041087 0.00088743283 0.00092314574 0.00028974647 0.001229738 0.0009662708 0.0014642305 0.00058623124 0.0004952643 0.00088338985 0.00071964937 0.0007944444 0.00043057674 0.00034432663 0.0014851191 0.00042518612 0.00044742247 0.00036588917 0.0011057535 0.00030524455 0.0004878522 0.0006145321 0.00466694 0.0011205777 0.00042788143 0.0049149087 0.0027701112 0.00042585994 0.00055793044 0.000630704 0.0020511355 0.0006657431 0.0004042974 0.0010659975 0.0013577655 0.00037195362 0.0011219253 0.0014056073 0.0025706578 0.0009460559 0.000622618 0.0010633022 0.003010668 0.002262044 0.002920375 0.04145194 0.056498323 6.744216e-06 6.4070055e-06 2.3604757e-06 1.6186119e-05 1.0453535e-05 5.2604886e-05 1.3825643e-05 5.7325838e-06 1.0116324e-06 6.7442164e-07 2.0232649e-06 1.686054e-06 6.7442164e-07 1.0116324e-06 1.0116324e-05 0.007939965 3.0686184e-05 1.5511698e-05 1.7872173e-05 3.304666e-05 1.652333e-05 7.452359e-05 4.0128085e-05 1.7872173e-05 9.104692e-06 2.3941968e-05 1.2814011e-05 2.2930335e-05 1.0116324e-05 4.0465297e-06 1.8209385e-05 0.011407168 6.54189e-05 6.2721214e-05 6.575611e-05 0.00019254738 6.575611e-05 0.00018377989 0.000101837664 6.305842e-05 1.5848907e-05 1.9895439e-05 2.4279178e-05 2.2593124e-05 2.4616389e-05 5.800026e-05 5.766305e-05 0.020194206 0.00021041954 0.00023739641 0.00014601227 0.00021075676 0.00016287282 0.00053852564 0.00029404782 0.00025796625 6.4744476e-05 6.8453795e-05 6.9802634e-05 7.890733e-05 7.857012e-05 8.1267804e-05 9.610508e-05 0.0097821485 0.00022930335 0.000193559 0.00011397725 0.00013555874 9.67795e-05 0.0004275833 0.00026066395 6.305842e-05 4.0802508e-05 3.5744346e-05 3.4732715e-05 2.933734e-05 3.2372238e-05 9.576787e-05 0.00016894261 0.011965926 0.00021918703 0.00022424519 0.00018647758 0.03283489 0.00018074499 0.0049559874 0.00050952553 5.058162e-05 3.2035026e-05 4.68723e-05 3.5744346e-05 0.021532934 2.0232648e-05 0.0008177362 0.00028190823 0.011586901 0.00022728008 0.00042050186 0.00021750097 0.041686 0.00017737289 0.017459763 0.0014783322 0.00026369886 5.2267675e-05 6.137237e-05 4.6535093e-05 0.039565954 4.8558355e-05 0.0003995948 0.00025864068 0.033694103 0.00035373413 0.0037214584 0.00037531563 0.019645901 0.00075906154 0.017093552 0.008338886 0.00037531563 5.2604886e-05 0.00012712847 8.329107e-05 0.016442737 5.462815e-05 0.0001557914 0.00093643443 0.036616035 0.0007502941 0.003674249 0.00080121285 0.0031239209 0.001750124 0.011741006 0.0059962827 0.0005735956 0.00010015161 0.00017197752 0.00011836099 0.00085246895 9.610508e-05 0.0014506809 0.0019349157 0.018823445 0.0007860384 0.001607484 0.000942167 0.0031050371 0.0016459259 0.0076722205 0.004271112 0.0006245144 0.0002434662 0.0002711175 0.00019423342 0.0010409697 0.00025762906 0.00038779242 0.0016351352 0.01431325 0.0012159821 0.0016975192 0.0015542046 0.0025985464 0.0017194379 0.0047506257 0.002951269 0.00046366485 0.0003985832 0.00028865246 0.00026100117 0.0012965755 0.00046366485 0.00031967583 0.0016189491 0.013628712 0.0011552842 0.0014344947 0.0021382538 0.0018189151 0.0020327067 0.0038098078 0.0020424859 0.00069937523 0.0010362489 0.00044410664 0.0003837459 0.0015680302 0.0005864096 0.00060057244 0.0025324533 0.016067084 0.0021433118 0.0018961363 0.003250375 0.0026703724 0.0040593436 0.0047738934 0.0028642686 0.002185126 0.0015609488 0.0010723304 0.00093171344 0.0023972315 0.0015390301 0.0012962384 0.004469392 0.060195502 0.015054439 0.006603599 0.009476973 0.012467021 0.017918034 0.010096092 0.012214787 0.026581317 0.004075867 0.0065928083 0.0050874995 0.012983965 0.006056306 0.010335849 0.037022375 0.020458916 0.006051585 0.0034523644 0.004390822 0.0055855596 0.006582355 0.00431731 0.005504292 0.009880951 0.0017201123 0.0017717056 0.002154777 0.005571734 0.0025371742 0.0042336816 0.011781134 0.0013056803 0.0007209567 0.0006208051 0.0005466187 0.0010038766 0.00067813095 0.0007954803 0.0006299098 0.000767829 0.0007243288 0.00048187425 0.0005773049 0.0005803398 0.0005651653 0.0005284093 0.00052301394 10940.0 24.614534 269283.0 0.014765136 0.0005087585 0.0017825114 0.00054218055 0.0006758689 0.0018567826 0.00040849217 0.00042334644 0.0006535875 0.00052732625 0.0006944367 0.00042334644 0.00087640143 0.0016673908 0.0041220575 0.0010360847 0.0024658074 0.0022875562 0.0021241594 0.002035034 0.0008132708 0.00064616033 0.0009840948 0.0065135937 0.0011214967 0.000768708 0.00091725064 0.0009840948 0.0038546808 0.0009506727 0.00057931617 0.0010286575 0.0008058437 0.0044265697 0.0019941845 0.0045565446 0.50013185 0.0038546808 0.014438341 0.003940093 0.001674818 0.0031453897 0.00047533636 0.0008504065 0.008266396 0.0028594453 0.0021353 0.0013851599 0.004066354 0.0008244115 0.0021427271 0.0055889157 0.0027666062 0.0011252103 0.0028371639 0.004118344 0.0013814463 0.0007055774 0.00029708524 0.0005050449 0.0011474916 0.00045305496 0.017661717 0.0044042883 0.00038992436 0.012403308 0.0032493696 0.0064727445 0.021390136 0.025166832 0.056052554 0.014947101 0.0036021583 0.012614981 0.0012811801 0.0011400646 0.073647425 0.004474846 0.0112298215 0.011887123 0.004356012 0.00021538678 0.01387388 0.010568807 0.0180405 0.0043857205 0.015195909 0.0022169985 0.002930003 0.002681194 0.00048647705 0.00020053252 0.00020795966 0.0004047786 0.00013368834 0.00014854262 3.6141157 3.0 26.0 0.0 33.0 1484056.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 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 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.185378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.02304411 0.005325982 0.0054307245 0.005016593 0.0034686117 0.0020132742 0.004123341 0.0021155972 0.0035170077 0.0018808766 0.0040531666 0.0021747097 0.0034751797 0.002961145 0.0019759403 0.0023112556 0.00303927 0.0070468057 0.0024035536 0.002435011 0.002607854 0.002668349 0.0031256913 0.0027990183 0.0040068445 0.0028667727 0.0029130946 0.0029348729 0.0023005393 0.0019883849 0.0025224695 0.003156803 0.004097414 0.003413302 0.004723451 0.0029065264 0.0020101632 0.0024882467 0.00394393 0.0021263135 0.0031616427 0.0025556553 0.0026348175 0.002133573 0.0025767423 0.002569483 0.0036065404 0.0036881221 0.003579577 0.003998894 0.0025801992 0.0031046045 0.0025238523 0.0031519635 0.0027737832 0.0031716677 0.002338219 0.002376936 0.0020305587 0.0020903624 0.002580545 0.002878526 0.002511062 0.002481333 0.001713219 0.0019019635 0.0029549226 0.0027150165 0.0074633574 0.002481333 0.002510025 0.002234859 0.0021349557 0.0019911504 0.0018725801 0.0026835592 0.0030309735 0.0028892423 0.0022296738 0.0021442892 0.0020319414 0.0022082413 0.002079646 0.0027734374 0.0022258712 0.0022981195 0.0019247788 0.0021850802 0.0021121404 0.002629978 0.0019144082 0.0023637998 0.0022891317 0.003159223 0.0031059873 0.002512099 0.0021387583 0.003995091 0.0028899335 0.0039587943 0.0027896848 0.0043912474 0.002977738 0.0029210453 0.0019621127 0.0030482577 0.002823562 0.0030026273 0.0029773922 0.002892699 0.003524267 0.004707204 0.0026458795 0.0022009818 0.0037140488 0.0036991842 0.003729259 0.0027737832 0.0022289823 0.0030323563 0.0032425332 0.003218335 0.0024045906 0.003857854 0.0022289823 0.0026209902 0.002433974 0.0024678512 0.0019323839 0.0019977186 0.001851839 0.0024443446 0.0028415376 0.0018839878 0.003146778 0.0021207826 0.0039567202 0.0027087943 0.0021913026 0.002868501 0.0031751245 0.002752005 0.0023385647 0.0023928373 0.0022324391 0.0028297843 0.002159845 0.002251106 0.002424986 0.0020177683 0.0023378734 0.003129494 0.0028574392 0.0026296321 0.0026237555 0.0027634127 0.0021453262 0.0020011754 0.002397677 0.002462666 0.0015828955 0.002088288 0.0021695243 0.0024968889 0.0018269497 0.0025006915 0.0029625276 0.0020101632 0.0019814712 0.0026922014 0.0024011338 0.0021429064 0.0022113523 0.0021003871 0.002495506 0.0024049364 0.001911297 0.002527309 0.0024170354 0.002491358 0.0018708517 0.0023451326 0.0021553512 0.0023278485 0.002140141 0.002685979 0.002625484 0.0031402102 0.0036017008 0.0025034568 0.0023848866 0.002597829 0.0019610757 0.0025432108 0.001929964 0.0026676576 0.0025197042 0.0022988108 0.0032352738 0.0025176299 0.0025311117 0.002469234 0.0021968335 0.0029656389 0.0026659293 0.002660744 0.002454715 0.0026631637 0.0018473451 0.0019282356 0.0022244884 0.0025708657 0.0021086836 0.002097276 0.0024471101 0.002732301 0.0021515486 0.0027250415 0.0022905143 0.0023924918 0.0026821764 0.0026659293 0.0033662887 0.0026092366 0.0026911644 0.0020827572 0.0025681 0.002525235 0.0027461282 0.0025684459 0.0027060288 0.002808006 0.0022618223 0.0025328402 0.0022715016 0.0024612832 0.002676991 0.0026313607 0.0027800056 0.0032836697 0.0026918557 0.0027388688 0.002831167 0.0026714602 0.0021861172 0.0023257744 0.0026116564 0.0029030696 0.002262168 0.0026559043 0.0022784155 0.002478222 0.002619953 0.0023561947 0.002849834 0.29238662 0.0001089296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2828231 1.2794905e-05 3.4580825e-07 5.187124e-07 2.0748496e-06 8.6452064e-07 1.7290412e-07 3.6309866e-06 1.383233e-06 3.4580825e-07 0.0 3.4580825e-07 0.0 0.0 0.0 0.0 0.00033163012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008351269 0.00016460473 0.00024241158 4.9104772e-05 0.0013733775 6.27642e-05 7.9881705e-05 6.0516442e-05 2.7837565e-05 3.2851785e-05 3.094984e-05 2.6800139e-05 2.0402687e-05 3.1295647e-05 2.9566605e-05 0.000119476754 0.002168045 0.0017596453 0.00011359801 9.9246965e-05 0.00094526686 0.00014351042 0.0005238995 0.0003603322 6.172677e-05 3.6655674e-05 3.6136964e-05 4.824025e-05 3.6136964e-05 4.028666e-05 6.345582e-05 0.0006459698 0.011079696 0.0015741192 0.001716938 0.00044021392 0.0004396952 0.00036776706 0.0019508773 0.0019054034 0.00017567059 0.00016495053 0.00030344675 0.0001633944 0.00014039814 0.00020817657 0.0002690388 0.0014089957 0.010726799 0.0013349927 0.0038689028 0.0010420932 0.00093057 0.00069663074 0.004093851 0.0030647255 0.00043347065 0.00018500742 0.00037053355 0.00018345128 0.00017463317 0.0002095598 0.0002520942 0.0014695121 0.005792807 0.0012796634 0.0015841476 0.00065755437 0.00081161194 0.00043433518 0.0012022024 0.0008807736 0.0005156001 0.0004313958 0.0004018292 0.0001846616 0.00025641682 0.00013365489 0.00022771473 0.000786368 0.0035647643 0.002159054 0.0017397613 0.00078169955 0.0007676943 0.00039560464 0.0008563941 0.00052493694 0.0005109317 0.0005195769 0.0004103015 0.00024586965 0.00035324311 0.00031157324 0.00074746454 0.0020459746 0.002715978 0.001516542 0.0020850508 0.0011816268 0.0005690275 0.00040943697 0.0012589149 0.00069714943 0.00050833815 0.00079535897 0.00045491074 0.00032903656 0.00028650212 0.00029168927 0.0015092801 0.0013260017 0.0018421205 0.0007291367 0.001156037 0.00067259703 0.00058510754 0.0003824639 0.0008261359 0.00056280295 0.00030085316 0.00033232174 0.0003897259 0.00027474464 0.00022875216 0.00019209649 0.00026661815 0.0015276079 0.00279171 0.001489742 0.0012826028 0.001334647 0.001633944 0.0011432421 0.0013502083 0.0010453784 0.0008956434 0.000728618 0.0007590491 0.000802448 0.0007891344 0.0007685588 0.0008093642 0.001143415 0.031028856 0.036817513 0.034827042 0.037917875 0.034904502 0.03378927 0.03884654 0.037398472 0.037185106 0.036050856 0.03292302 0.037480254 0.038008995 0.036664147 0.03743409 0.037335362 12796.0 10.703267 136959.0 0.03516381 0.0052862535 0.03934024 0.005658628 0.004139925 0.0044392846 0.005709738 0.003818661 0.0048481664 0.0051694303 0.0068268604 0.004519601 0.008761746 0.006783052 0.01279215 0.008659526 0.012259143 0.010930278 0.0065201996 0.008564607 0.006527501 0.010674727 0.009112216 0.008754444 0.005213239 0.0059141787 0.005278952 0.0041983365 0.009250944 0.014632116 0.0077176383 0.0068122577 0.0037310435 0.005293555 0.0077103367 0.00968173 0.10679839 0.00817763 0.005738944 0.005001497 0.0050453055 0.0059944945 0.0049211807 0.007600815 0.00667353 0.008696033 0.008367468 0.0043078586 0.008936981 0.0056513264 0.0060237003 0.01214232 0.008330961 0.006943684 0.006702736 0.0068122577 0.0040961164 0.0055710105 0.0039865947 0.004541505 0.003767551 0.005695135 0.0059944945 0.007907476 0.004074212 0.02654079 0.010433779 0.011302653 0.01139027 0.040961165 0.00923634 0.011032498 0.0060383035 0.019706627 0.0057681496 0.0064544864 0.019480282 0.014807351 0.021057397 0.019604407 0.0111347195 0.0030374054 0.023758935 0.018180624 0.029768033 0.01439847 0.0056002163 0.008447784 0.008557306 0.01385086 0.0041764323 0.0052205403 0.0035339042 0.004037705 0.0034097796 0.0038770726 6.0704966 0.0 9.0 0.0 26.0 2892800.0 2916352.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540378500.0 0.0 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 2877440.0 512.0 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 -2877440.0 0.0 14336.0 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 -6.455456 0.0 5.3749213 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 -2877236.0 0.0 14336.0 0.0 0.0 0.0 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 75.0 2885344.0 14336.0 2891776.0 0.0 0.0 0.0 0.0 12.0 2908160.0 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: 0.5762163 0.0129616475 0.0064808237 0.0040838066 0.00892223 0.0014648438 0.00390625 0.0035955256 0.006569602 0.004305753 0.0015092329 0.0008877841 0.0018643466 0.0007990057 0.0032404119 0.00057705963 0.0017755682 0.00026633524 0.00048828125 0.00035511365 0.0006658381 0.00031072443 0.00022194603 0.00035511365 0.00048828125 0.00048828125 0.00035511365 0.00026633524 0.00044389206 0.00031072443 0.00053267047 0.00022194603 0.0250799 0.0009765625 0.00044389206 0.00053267047 0.00039950284 0.0013760653 0.0006658381 0.00044389206 0.0009765625 0.0019087358 0.00035511365 0.00013316762 0.0008433949 0.00062144885 0.0040838066 0.00053267047 0.00062144885 0.0008433949 0.001731179 0.0007990057 0.00057705963 0.00022194603 0.0015092329 8.877841e-05 0.00057705963 0.00048828125 0.002574574 0.00035511365 0.00057705963 0.00013316762 0.00062144885 0.00048828125 0.00062144885 0.0027965198 0.0006658381 0.002574574 0.0035955256 0.0015980114 0.0022638494 0.0014648438 0.0008877841 0.0014204546 8.877841e-05 0.00062144885 0.001731179 0.0018199574 0.0011097301 0.0014648438 0.011985085 0.00017755682 0.0016424005 0.0045276987 0.0024414062 0.0013760653 0.0008877841 0.00048828125 0.0009765625 8.877841e-05 0.00013316762 0.00039950284 0.00026633524 0.00026633524 0.00026633524 0.00026633524 8.877841e-05 0.01176314 0.0016424005 0.0055042612 0.007768111 0.02618963 0.0033735796 0.003462358 0.0064364346 0.013583097 0.00013316762 0.0011541193 0.01229581 0.0040838066 0.0110085225 0.013494318 0.0062144888 0.00031072443 0.012872869 0.01176314 0.015491832 0.0041725854 0.001953125 0.0032404119 0.0010209517 0.0034179688 0.00039950284 0.00013316762 0.00062144885 0.0 0.0 4.4389206e-05 0.007990057 0.0026189631 0.0040838066 0.0 4.4389206e-05 0.00039950284 0.00026633524 0.00017755682 0.00035511365 4.4389206e-05 0.00057705963 0.0 0.00017755682 0.0 8.877841e-05 0.0 0.0011541193 0.0 0.00013316762 0.0 4.4389206e-05 0.00026633524 0.00017755682 4.4389206e-05 0.00053267047 0.00022194603 0.00035511365 0.0 0.0 0.0 0.00022194603 0.0 0.00048828125 0.00013316762 0.00017755682 8.877841e-05 8.877841e-05 0.0 0.0 0.0010653409 0.00057705963 4.4389206e-05 0.00022194603 0.00031072443 8.877841e-05 4.4389206e-05 0.0 0.00022194603 0.00017755682 0.00017755682 0.0 4.4389206e-05 0.00035511365 0.00013316762 0.0 0.0 0.00044389206 4.4389206e-05 4.4389206e-05 0.0 0.00013316762 0.00013316762 0.0 0.0 0.00026633524 0.00013316762 0.00017755682 0.0 0.00017755682 0.0 4.4389206e-05 0.0 0.0019087358 0.0 4.4389206e-05 8.877841e-05 0.00017755682 0.00022194603 8.877841e-05 4.4389206e-05 8.877841e-05 8.877841e-05 0.00013316762 4.4389206e-05 0.00013316762 0.00017755682 0.00017755682 0.0007990057 0.00031072443 4.4389206e-05 0.0 0.0 0.00013316762 4.4389206e-05 0.0 0.0 0.00026633524 0.0 0.0 0.00057705963 0.0020419033 8.877841e-05 0.00013316762 4.4389206e-05 0.00022194603 8.877841e-05 0.00026633524 0.00017755682 0.00017755682 0.00017755682 0.00022194603 0.00013316762 0.00026633524 0.00013316762 0.00017755682 8.877841e-05 0.00013316762 0.00013316762 0.00013316762 8.877841e-05 0.00035511365 4.4389206e-05 8.877841e-05 0.00022194603 0.00013316762 4.4389206e-05 0.00022194603 0.03129439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.081101194 0.000953311 0.0011160715 0.00055803574 0.0011160715 0.0011393229 0.0013020834 0.0010463169 0.001999628 0.0007905506 0.00044177828 0.0005347842 0.0006045387 0.00046502976 0.0015811012 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.35316685 0.0036039806 0.02499535 0.0064639137 0.012137277 0.015229724 0.075753346 0.039713543 0.009184338 0.0014415922 0.0019763764 0.00081380206 0.001813616 0.0009300595 0.0023716518 0.021833148 0.20303199 0.0026739212 0.01390439 0.0050455728 0.009695871 0.009393601 0.04594494 0.021716889 0.004906064 0.00062779017 0.0011858259 0.0002092634 0.0009765625 0.00069754466 0.00067429314 0.01264881 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 47.0 141.0 0.04964539 0.0070921984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014184397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08510638 0.0 0.0 0.17730497 0.0 0.0 0.08510638 0.0 0.08510638 0.0 0.0 0.0 0.0 0.08510638 0.0070921984 0.08510638 0.0 0.0 0.0070921984 0.0070921984 0.0 0.0 0.0 0.08510638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014184397 0.0070921984 0.014184397 0.0070921984 0.014184397 0.0 0.0070921984 0.0070921984 0.014184397 0.0 0.0 0.0 0.014184397 0.028368793 0.021276595 0.0070921984 0.0 0.035460994 0.014184397 0.0070921984 0.0070921984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0740924 0.0 0.0 0.0 1.0 22528.0 28672.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1223596700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 9.0 0.0 5.0 0.0 5.0 0.0 0.0 512.0 4096.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5469825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21920.0 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


Input: 0.037669577 0.0042930143 0.0039840476 0.0037848451 0.006394803 0.0033376561 0.003565316 0.0043174066 0.0041873152 0.0036262963 0.0037197995 0.0033661136 0.004057224 0.0033498523 0.0033295255 0.007866461 0.003931198 0.0038092374 0.0033417216 0.0035368586 0.0033986366 0.0033539175 0.0035693813 0.0033986366 0.00343929 0.003622231 0.0031669112 0.00332546 0.0036547538 0.0035612506 0.0033457868 0.003496205 0.005890699 0.0033783098 0.0034677475 0.00332546 0.00962676 0.0033620482 0.0033742443 0.0032888718 0.0036588192 0.003634427 0.003268545 0.0032929373 0.0037441917 0.0033905057 0.0033295255 0.0032848066 0.004138531 0.004467825 0.0041100737 0.004276753 0.0046548313 0.0039230674 0.0038905444 0.005752477 0.004528805 0.004118204 0.0031140617 0.0034514861 0.003528728 0.0033376561 0.0034474207 0.0037645183 0.003634427 0.0034514861 0.0032726105 0.0033945711 0.004309276 0.0041588577 0.0038661524 0.0035937736 0.0033945711 0.0035327931 0.0033661136 0.0034799436 0.0036019043 0.00332546 0.0034352248 0.003382375 0.0036994726 0.0034596168 0.0034555513 0.0034636823 0.0034311593 0.0036141002 0.00343929 0.00343929 0.0033661136 0.0032929373 0.0036628845 0.0034474207 0.0033864405 0.003370179 0.0035165318 0.009208028 0.004870295 0.0041995114 0.0038824137 0.0041913805 0.005581732 0.0041995114 0.007716043 0.0032563491 0.004232034 0.0036832113 0.0034677475 0.0032970025 0.003988113 0.0034027018 0.0034555513 0.0037401263 0.0034555513 0.0034474207 0.0036384924 0.0036832113 0.004561328 0.0037563876 0.0035043356 0.0034311593 0.003508401 0.003520597 0.0035815774 0.0032156955 0.0033457868 0.0034921397 0.0035571854 0.0032319569 0.0037889106 0.003496205 0.003679146 0.004240165 0.0037563876 0.003723865 0.0035571854 0.0036994726 0.0041913805 0.005415052 0.003520597 0.003951525 0.0032482184 0.0056589735 0.0034596168 0.003679146 0.0033986366 0.0032970025 0.0034027018 0.0034270938 0.0033742443 0.0034067673 0.0032644798 0.0031384537 0.0036588192 0.003508401 0.0035246625 0.003276676 0.005939483 0.0032888718 0.0033783098 0.0034636823 0.0033091987 0.0032726105 0.0031181271 0.0036710151 0.0033376561 0.0032360223 0.0032319569 0.0034270938 0.0030937348 0.0032604143 0.0033417216 0.0035165318 0.003508401 0.0032360223 0.0034474207 0.0034555513 0.0034474207 0.0032644798 0.0033539175 0.0033905057 0.0032726105 0.0034514861 0.0036141002 0.003817368 0.004020636 0.0034311593 0.0040368973 0.0036954074 0.003382375 0.003496205 0.0039027405 0.0031384537 0.0044434327 0.0041873152 0.0035165318 0.0036262963 0.0039352635 0.003585643 0.0044068443 0.004049093 0.0037523224 0.0036832113 0.0033091987 0.003357983 0.0033376561 0.0034230286 0.0033376561 0.0035165318 0.0038254987 0.0032522837 0.0040328316 0.0036303618 0.0034433554 0.0033905057 0.003276676 0.0035449893 0.0037726492 0.0034027018 0.0034352248 0.0033173293 0.0033783098 0.003382375 0.0036425577 0.003634427 0.003610035 0.0033905057 0.0035409238 0.0034433554 0.0033295255 0.0033335907 0.003496205 0.0034921397 0.005719954 0.0062199924 0.0035612506 0.0034474207 0.00343929 0.003357983 0.003520597 0.0033376561 0.0034189632 0.0034555513 0.0036303618 0.0035409238 0.003382375 0.0039921785 0.0040775505 0.0037157342 0.004012505 0.0042117075 0.0037929758 0.0033742443 0.003679146 0.0036181656 0.003963721 0.010899216 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1067.0 10.749765 11470.0 0.049258936 0.0050566695 0.0069747167 0.004272014 0.006277245 0.004272014 0.004010462 0.0053182216 0.005928509 0.0056669572 0.00418483 0.0048823017 0.00462075 0.0035745422 0.005754141 0.00462075 0.014734089 0.026591107 0.022667829 0.027724499 0.01804708 0.016652135 0.015780296 0.056582388 0.02467306 0.015954664 0.004359198 0.0055797733 0.006102877 0.0073234523 0.0054054055 0.005841325 0.006887533 0.0079337405 0.00418483 0.0048823017 0.006451613 0.0055797733 0.006102877 0.0071490845 0.004795118 0.006364429 0.0051438534 0.005841325 0.0056669572 0.005928509 0.006277245 0.004359198 0.006713165 0.0053182216 0.0049694856 0.006800349 0.0044463817 0.0045335656 0.0045335656 0.006102877 0.0055797733 0.00418483 0.0060156933 0.005928509 0.0034001744 0.0053182216 0.00418483 0.12589364 0.0049694856 0.020313863 0.011159547 0.025457716 0.015082825 0.023016565 0.014036617 0.0072362684 0.006190061 0.009677419 0.004795118 0.004272014 0.010636443 0.006713165 0.009328684 0.012816042 0.0060156933 0.006713165 0.013949433 0.0092415 0.014821273 0.009938971 0.0051438534 0.006364429 0.0066259806 0.0069747167 0.0052310373 0.0048823017 0.0050566695 0.006277245 0.0054925894 0.0054054055 5.9388647 0.0 0.0 0.0 5.0 245981.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.19840977 0.00515729 0.004345414 0.0032446145 0.003966924 0.0019993528 0.0017566568 0.0017162075 0.01031747 0.0015255178 0.001467733 0.006379438 0.0034121904 0.0014735115 0.00087254995 0.005749584 0.00390625 0.0008263221 0.0010632396 0.0011383599 0.0019213434 0.0014619546 0.0009187777 0.00055473374 0.0065238997 0.0010632396 0.0005518445 0.0008869961 0.0012365939 0.0007483127 0.00071653107 0.000982341 0.0035075352 0.0006154077 0.0010574611 0.00074253423 0.0035450952 0.00064430013 0.0006327432 0.00060674 0.0011759199 0.00051139516 0.0008378791 0.0018028846 0.00088121765 0.00084076833 0.0007223095 0.00060962926 0.0013088249 0.00055473374 0.00074542343 0.0040911613 0.0008205436 0.0007627589 0.0005749584 0.0004680566 0.0010632396 0.0014215051 0.0006385216 0.0021987103 0.00094189163 0.0011672522 0.0018866726 0.000921667 0.0035653198 0.0017277644 0.0074744592 0.0013839451 0.0019877958 0.0049463757 0.001892451 0.0010285688 0.0042760726 0.0032475037 0.005056167 0.0047007906 0.00451299 0.0063996627 0.0045216577 0.0050070495 0.004567886 0.0018346662 0.0010285688 0.0023027228 0.002051359 0.0040709367 0.002571422 0.0016179733 0.0010632396 0.0027996718 0.00058073684 0.0009303347 0.0008696607 0.0019964636 0.0017248752 0.0015168501 0.0010892428 0.0020715839 0.00080898666 0.0013781666 0.001539964 0.0030625924 0.0016584228 0.00069919566 0.0021062547 0.0019357896 0.004345414 0.0006240754 0.0017393214 0.0009361132 0.0016873151 0.001892451 0.002149593 0.0005142844 0.003325513 0.0021640393 0.007263545 0.006243644 0.0013666097 0.00087543915 0.0009332239 0.00097367325 0.0005431768 0.0005171736 0.0012077015 0.0020484698 0.001152806 0.0016815367 0.0022911658 0.00147929 0.0010459042 0.0070179594 0.0015024039 0.0052930843 0.00087254995 0.00056917995 0.0015919702 0.005868043 0.0033630733 0.019502359 0.0011556953 0.0059778336 0.0006154077 0.00060385076 0.0009014423 0.0005894046 0.0006558571 0.00065296784 0.0006240754 0.0006963064 0.00090433157 0.00054606603 0.00074542343 0.0008176544 0.0005489552 0.0005142844 0.00060385076 0.00060385076 0.0005085059 0.0009967872 0.0008638822 0.0010545719 0.00057784765 0.0008638822 0.0006125185 0.0006125185 0.00050561666 0.0005489552 0.00088988536 0.005868043 0.0007569804 0.0009996764 0.0010401257 0.0010892428 0.00088121765 0.0011007998 0.001407059 0.001274154 0.0015370747 0.0010776859 0.0017306537 0.0026609884 0.0020975869 0.0009621163 0.0011383599 0.0007136418 0.00050561666 0.00049694895 0.00081476517 0.00090722076 0.00080898666 0.0006125185 0.00420962 0.0022131565 0.0019444573 0.003007697 0.0017768815 0.00068474945 0.0018346662 0.0027563332 0.0017913276 0.0016670905 0.0009881194 0.00068474945 0.008997087 0.0005749584 0.00079742976 0.0006327432 0.0012510401 0.0009332239 0.0014619546 0.0008349898 0.0020600269 0.0005605122 0.00087543915 0.000667414 0.0014706223 0.0006154077 0.0006645248 0.0011412491 0.0010603504 0.000557623 0.0007483127 0.00059518305 0.001843334 0.00069919566 0.0009187777 0.049787354 0.1541264 0.0024442954 0.0022940552 0.0031088202 0.012573965 0.0015457424 0.00057784765 0.0025887573 0.0019733496 0.00036115476 0.00049694895 0.0006125185 0.0024096246 0.00075120194 0.000982341 0.00070786336 0.001456176 0.00047383507 0.0025165265 0.0010979105 0.002571422 0.00095633784 0.000728088 0.00084365753 0.0023894 0.0016497549 0.023342155 0.09605561 0.014707843 1.4489058e-06 1.4489058e-06 4.491608e-05 0.0 0.0 0.0 1.4489058e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.968982e-05 0.008338453 0.000118810276 4.3467176e-06 9.7076685e-05 2.8978116e-06 0.0 0.0 0.0 2.8978116e-06 0.0 0.0 0.0 1.4489058e-06 0.0 0.0 0.00033614616 0.018038876 3.332483e-05 1.3040152e-05 0.00023906946 1.4489058e-06 1.4489058e-06 5.795623e-06 5.7956233e-05 8.693435e-06 5.795623e-06 0.0 0.0 7.244529e-06 0.0 0.0003477374 0.0020110812 0.0024732822 1.1591246e-05 1.1591246e-05 0.0003028213 0.0 0.0 0.0 4.3467176e-06 1.4489058e-06 0.0 0.0 0.0 4.3467176e-06 1.4489058e-06 0.00011736137 3.9120456e-05 0.0035396768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.8978116e-06 0.0 0.0 0.0 1.4489058e-06 0.0 0.008478996 0.002813775 0.029682284 4.9262795e-05 0.00011011684 7.0996386e-05 3.767155e-05 2.3182492e-05 0.00036077754 0.0003796133 3.767155e-05 1.738687e-05 1.014234e-05 1.8835775e-05 4.491608e-05 6.0854043e-05 0.11053268 0.036605157 0.013014072 0.00019705118 0.00030571912 0.00019560228 0.000676639 0.00019705118 0.00032310598 0.00020139791 0.0001753176 7.53431e-05 7.0996386e-05 0.00015937963 0.00018401103 0.00015648182 0.016663866 0.0059796344 0.019922454 0.00034049287 0.0004549564 0.00061143824 0.015065722 0.00036657316 0.0011707159 0.0008534055 0.00032310598 0.00048973016 0.00027094537 0.00044771188 0.00023182493 0.00036077754 0.020018082 0.0132560395 0.018573523 0.0003260038 0.00096786907 0.0003984491 0.008399307 0.0009403399 0.0045423196 0.002657293 0.0007186573 0.00048538344 0.0003520841 0.00067808793 0.00043467173 0.00039265346 0.016307434 0.009107822 0.012534484 0.00011156574 0.0002752921 0.0004535075 0.0055710427 0.0017589716 0.0026819245 0.0013358911 0.0016039388 0.00073604414 0.00045930315 0.0018893732 0.00046654767 0.0004737922 0.018730005 0.0102654975 0.010408939 0.00028688335 0.00076647114 0.0010968216 0.0030818225 0.0017807052 0.0041119945 0.0022791289 0.0023921435 0.00041148925 0.00037091988 0.0014271722 0.00079110253 0.0003491863 0.013341525 0.0075487993 0.0052667726 0.0002492118 0.00026949646 0.00044481407 0.0018357637 0.00047669 0.00058680685 0.00048828125 0.0008809347 0.00032020817 0.0003448396 0.00058825576 0.00037091988 0.00028978116 0.00512478 0.0032339578 0.0023341873 0.00018835775 0.0003477374 0.0002506607 0.0006027448 0.00064766087 0.0010011939 0.0008244274 0.0014503547 0.00016372635 0.00014054387 0.0002477629 0.00035353302 0.00017821541 0.00067808793 0.002460242 0.029614186 0.005430499 0.0043380237 0.004733575 0.008822387 0.0097236065 0.0036526914 0.008742698 0.017830234 0.0020646907 0.0039931843 0.005752156 0.008720964 0.0029586656 0.0076849964 0.018370677 0.060175955 0.016387124 0.010087282 0.01014234 0.016994216 0.0149382185 0.0084717525 0.014487609 0.03232364 0.0056232032 0.011563717 0.0071257185 0.022161014 0.009872844 0.01798092 0.026530914 0.0016082855 0.00080559164 0.0007606755 0.000523055 0.0007867558 0.00074473757 0.0004781389 0.0006201317 0.0011460845 0.00054044183 0.00073459523 0.00045785424 0.0008823836 0.00044626297 0.00064186525 0.000692577 648.0 12.771605 8276.0 0.04289512 0.0013291445 0.0022957951 0.0012083132 0.0119623 0.0013291445 0.0013291445 0.0055582407 0.0025374577 0.0012083132 0.0010874819 0.0024166263 0.003020783 0.009908169 0.006887385 0.0021749637 0.0038666022 0.0016916385 0.0020541325 0.0016916385 0.0015708072 0.00096665055 0.00072498794 0.0010874819 0.0014499759 0.0035041082 0.0022957951 0.0019333011 0.0038666022 0.0016916385 0.0019333011 0.0059207347 0.017641373 0.010512325 0.003020783 0.008095698 0.008941517 0.005316578 0.008699855 0.006887385 0.005316578 0.006162397 0.0015708072 0.0014499759 0.006524891 0.0035041082 0.0043499274 0.0025374577 0.021387143 0.005316578 0.00640406 0.015949734 0.006766554 0.0043499274 0.013291446 0.006887385 0.0014499759 0.002658289 0.0014499759 0.0022957951 0.0025374577 0.0024166263 0.0020541325 0.010028999 0.006887385 0.047970034 0.009908169 0.034074433 0.024891252 0.077211216 0.00821653 0.0122039635 0.014741421 0.0420493 0.0088206865 0.0044707586 0.033591107 0.014016433 0.038786855 0.0459159 0.015466409 0.0015708072 0.05292412 0.04567424 0.061623972 0.021749638 0.007854036 0.0036249396 0.0049540843 0.010633156 0.0028999518 0.00084581925 0.0016916385 0.0015708072 0.0013291445 0.002658289 5.5936003 1.0 0.0 0.0 3.0 346112.0 417792.0 1.0 0.0 94.0 0.0 1.0 0.0 0.0 0.0 1353497100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 146944.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -146944.0 0.0 164864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.609996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8854644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.895615 0.0 3.1969695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26458.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -146941.0 0.0 164384.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 175868.0 164384.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 152048.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 169792.0 0.0 0.0 380.0 151552.0 0.0 0.0 0.0 0.0


Input: 0.16005063 0.0072208242 0.010871474 0.0040164464 0.008186527 0.003727467 0.0047882767 0.0033397225 0.0041078953 0.0032519314 0.009916745 0.0033799603 0.002882477 0.0026739729 0.0033177747 0.0033580123 0.0033689863 0.0032702212 0.0027983438 0.003292169 0.0029117407 0.0026081295 0.003401908 0.0035884643 0.0028678451 0.0025239962 0.0025898397 0.0026191033 0.0046675643 0.0023154921 0.003720151 0.00426153 0.0062075676 0.0036616235 0.0032372996 0.0029519782 0.0027142104 0.0023593877 0.0022057532 0.0023667037 0.004232266 0.002011881 0.0025422862 0.002655683 0.0032665632 0.012521217 0.0035774903 0.0026995786 0.0034677514 0.0030031898 0.0021984372 0.002439863 0.0023154921 0.0022825706 0.0030726912 0.0027325002 0.0026666569 0.0035628586 0.0026081295 0.0023081764 0.0036579657 0.0027032366 0.0025020484 0.0030105056 0.002443521 0.0029849 0.003943287 0.002981242 0.0025934975 0.0023667037 0.002132594 0.0020667505 0.0022459908 0.002641051 0.0022130692 0.0021691737 0.0023813357 0.0025934975 0.0025093644 0.0024252313 0.002761764 0.0018509306 0.0023593877 0.0028020015 0.0025788657 0.0021801475 0.0024215733 0.0022642808 0.0024910746 0.002981242 0.0019972492 0.0021874635 0.002556918 0.0020704085 0.0031129287 0.0034640934 0.0026995786 0.0049455697 0.002882477 0.0044041905 0.0031202447 0.007535409 0.0033580123 0.0029849 0.0024032835 0.0047078016 0.0020082232 0.0025422862 0.0044297962 0.0033543545 0.0044517443 0.009572896 0.00469317 0.0022569648 0.0071659544 0.005966142 0.0056076613 0.00359578 0.0024691268 0.0029117407 0.004012788 0.0033543545 0.002224043 0.006258779 0.0025166804 0.0026008135 0.0028422393 0.0029958738 0.003518963 0.0026886046 0.0023813357 0.0023264661 0.0030105056 0.0025057064 0.0022789126 0.0028678451 0.0019277479 0.0025020484 0.0020960143 0.0029153987 0.0018728784 0.002348414 0.0029410042 0.0025971555 0.0035299368 0.0028129756 0.002436205 0.0024618108 0.0026739729 0.00404571 0.002648367 0.0031129287 0.0036835712 0.0025934975 0.0023118341 0.002648367 0.0026081295 0.0026191033 0.0027946858 0.0031495083 0.027972464 0.009492421 0.0054393946 0.0035701743 0.0019679854 0.0024618108 0.0019899332 0.0025239962 0.0017741133 0.002341098 0.002022855 0.0020521188 0.0020630925 0.0021911215 0.002022855 0.0023886515 0.0023923095 0.0022496488 0.002436205 0.0024215733 0.0018033771 0.002128936 0.0023191501 0.0027105524 0.0021508837 0.0023959675 0.00213991 0.0021655157 0.0033287487 0.0023337821 0.0023593877 0.0029958738 0.0032702212 0.0023667037 0.00210333 0.00233744 0.0020960143 0.0029592942 0.002117962 0.0032811952 0.0026922626 0.002341098 0.002011881 0.0025934975 0.0028166336 0.0022533068 0.0023045184 0.0030507434 0.0019972492 0.00212162 0.0018253248 0.002432547 0.0018509306 0.0022057532 0.0020082232 0.0025020484 0.0021911215 0.0025386282 0.0020850403 0.0027398162 0.0020521188 0.0026337353 0.00318243 0.0031714563 0.003401908 0.0034458037 0.0037457568 0.002970268 0.0030763492 0.0024874166 0.0030653751 0.002856871 0.0023886515 0.0021984372 0.0017814293 0.0022094112 0.0019753014 0.0024252313 0.0020338288 0.0025861817 0.0028129756 0.0030434274 0.002132594 0.0030690331 0.0018948262 0.0021691737 0.002220385 0.002652025 0.0026300773 0.0026008135 0.0022606228 0.0024581528 0.0032153518 0.0027325002 0.0034165399 0.045110032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003031029 1.28979955e-05 5.8962265e-05 5.7119694e-05 5.8962265e-05 3.3166274e-05 0.00035193103 0.00014924823 3.6851416e-06 0.0 1.8425708e-06 7.370283e-06 0.0 0.0 3.6851416e-06 3.6851416e-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 0.012214402 0.00041642098 0.002295843 7.738797e-05 5.1591982e-05 5.5277123e-05 0.00024137677 0.0002966539 5.5277123e-05 5.5277123e-05 7.001769e-05 1.8425708e-05 4.2379128e-05 0.00016030365 0.00025058963 0.002566701 0.023741525 0.0008881191 0.0052900207 0.00066516805 0.0011479215 0.0011534493 0.009041495 0.0052992334 0.0002211085 0.000455115 0.0021816038 0.000108711676 8.2915685e-05 0.00020084021 0.00020821049 0.005918337 0.060316555 0.0059901974 0.008597435 0.0035911703 0.0026496167 0.002892836 0.010333137 0.009741671 0.00080336083 0.0005398732 0.0010576356 0.0005232901 0.00022479364 0.00034271815 0.00038141216 0.0052218456 0.038769532 0.005155513 0.0039136205 0.0016951651 0.0015403891 0.0013340212 0.0030494547 0.0025224793 0.0016509434 0.0031194722 0.015873747 0.0005804098 0.0004956515 0.0005048644 0.00079783314 0.009562942 0.01813458 0.0019899765 0.002511424 0.00093049824 0.001352447 0.00086416566 0.0013413915 0.0012603184 0.00143352 0.0030678804 0.012691627 0.00060252065 0.0005969929 0.0006688532 0.0009876179 0.008169958 0.008790905 0.00092128536 0.0012400501 0.0010078863 0.0011221255 0.00073518575 0.0022166127 0.0016398879 0.0006301592 0.0016785819 0.005581147 0.00016030365 0.00021742335 0.0002450619 0.00025611735 0.0037459463 0.0058262087 0.00070201943 0.0005601415 0.0007701946 0.00042931898 0.0004901238 0.0008567954 0.0007499263 0.00064305717 0.0014445755 0.0023161115 0.00046064268 0.00043116155 0.0005288178 0.0005288178 0.0021300118 0.013784272 0.0008936468 0.0014040389 0.0011423939 0.0009010171 0.0014501032 0.0028780955 0.0018609965 0.0019844486 0.0030199734 0.0038878242 0.002592497 0.0027104216 0.0034400795 0.0037717423 0.007108638 0.0049896818 0.0006191038 0.00090838736 0.0009397111 0.0009010171 0.0009581368 0.0023197965 0.0015201209 0.0010078863 0.001055793 0.0011516067 0.001055793 0.0010723762 0.0013100678 0.0010281545 0.0018038767 0.042935584 0.033361588 0.03259139 0.033531103 0.030529555 0.030159198 0.033004127 0.036681898 0.032324217 0.031942807 0.027879938 0.03237397 0.034918558 0.030345298 0.03460532 0.038664505 1189.0 11.844407 14083.0 0.0121423 0.0024142584 0.0034793722 0.0025562735 0.0031243344 0.00177519 0.002627281 0.002982319 0.0036213875 0.003195342 0.0026982888 0.0023432507 0.009586026 0.003692395 0.02364553 0.0034083647 0.015337641 0.010296102 0.0050415397 0.0071717673 0.0066037066 0.007952851 0.004047433 0.0056806076 0.005254562 0.0034083647 0.002485266 0.0019172052 0.00355038 0.009799048 0.0026982888 0.0032663494 0.0031243344 0.008449904 0.008378897 0.011432223 0.011574239 0.0051835547 0.006177661 0.003692395 0.0037634026 0.008378897 0.0028403038 0.0042604557 0.0051835547 0.007455798 0.004828517 0.0039054179 0.007455798 0.0038344103 0.006532699 0.014911596 0.008662927 0.0037634026 0.0066037066 0.002982319 0.002982319 0.0044734785 0.003195342 0.004047433 0.004615494 0.0030533266 0.0039054179 0.018674998 0.0036213875 0.03820209 0.014130512 0.025846766 0.017325854 0.0785344 0.019030036 0.015337641 0.0069587445 0.03756302 0.002627281 0.008733935 0.03103032 0.020805227 0.033373572 0.040971383 0.0140595045 0.0033373572 0.044450756 0.03394163 0.049847335 0.02364553 0.0071717673 0.010509124 0.0071717673 0.014414542 0.004757509 0.0036213875 0.0029113116 0.002982319 0.0034793722 0.0034793722 5.891422 3.0 0.0 0.0 3.0 273376.0 294912.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1531254900.0 0.0 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 269824.0 512.0 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 -269824.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.126659 0.0 3.1651947 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 -269540.0 0.0 1048.0 0.0 0.0 0.0 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 277644.0 1048.0 278528.0 0.0 0.0 992.0 272384.0 12.0 286720.0 28.0 277332.0 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: 0.28828058 0.011228751 0.0056716185 0.0052571804 0.010911626 0.0032742892 0.0030521872 0.0022278905 0.010138848 0.0017024014 0.001977167 0.0020447136 0.006195963 0.0026091277 0.001705836 0.009435906 0.006220005 0.0015581496 0.0012604869 0.0011128004 0.0046973457 0.003691017 0.00135551 0.0011437115 0.0036933068 0.0008231517 0.000868946 0.00094107195 0.0028529821 0.0021477507 0.0010727304 0.0010235016 0.0054701236 0.0013417717 0.0012524729 0.001386421 0.025198288 0.0013223091 0.002177517 0.0009502308 0.002486628 0.00091245055 0.00092618883 0.0018752748 0.0020584518 0.0009319131 0.0010475436 0.0008242966 0.0025633334 0.0009651139 0.0012066787 0.005269774 0.0019164896 0.0010784547 0.0008105583 0.0007361427 0.002264526 0.0018935924 0.0009765625 0.0036784236 0.0018455085 0.0016394344 0.00094336167 0.0010750202 0.0032078875 0.0026182865 0.0025404363 0.0030441731 0.009679761 0.005293816 0.0040928614 0.0029434257 0.008462778 0.005994468 0.0027224685 0.0009903008 0.0061432994 0.0023641284 0.0021351571 0.0017207192 0.008698619 0.004729402 0.004389379 0.0047156634 0.005530801 0.0034895223 0.0057574827 0.004974401 0.0015741775 0.0019336625 0.0009490859 0.00283123 0.0028152019 0.0032891724 0.00414667 0.003763143 0.00135551 0.0027133096 0.0011574498 0.0016886631 0.0021008116 0.0047774855 0.0031598036 0.0012066787 0.0037562738 0.0023881705 0.006195963 0.00082544144 0.0029308323 0.0013223091 0.0026308799 0.0027052956 0.0019977745 0.0007246941 0.0035169988 0.0023469557 0.012567089 0.0066447463 0.0014276359 0.0014093182 0.0014551125 0.0012169824 0.0007521706 0.0007235492 0.0036246153 0.0018615365 0.0017882657 0.0018031488 0.0035570688 0.0022027036 0.00095595507 0.012759425 0.0056326934 0.006760377 0.0011013518 0.00097198307 0.002088218 0.011574498 0.0015650187 0.02970101 0.0016474484 0.009035206 0.0010109082 0.0007945303 0.0012353001 0.0006880587 0.0006766101 0.0008655114 0.0015192244 0.00088611885 0.0006754653 0.0006479887 0.0008895534 0.00081399287 0.00060562906 0.0006823344 0.0009834316 0.00071553525 0.00064340926 0.00080025464 0.0011105107 0.0010109082 0.00068347924 0.0012169824 0.001498617 0.00072927354 0.00239046 0.00061593275 0.0012810943 0.00071782497 0.00074301177 0.0007349978 0.0009479411 0.000637685 0.00068347924 0.000693783 0.0012227066 0.0006720307 0.00061593275 0.00064340926 0.0010544127 0.0007785023 0.0020435688 0.0013841314 0.0018386394 0.0009364925 0.0010246465 0.0012501832 0.0010475436 0.00079910975 0.0010956276 0.002129433 0.0076796967 0.0024293852 0.00430466 0.0031723971 0.0051793302 0.0010269362 0.0024751795 0.0049629523 0.0021466056 0.0017046912 0.0010269362 0.000868946 0.0036166012 0.0006743204 0.0010051839 0.00085635256 0.0013360474 0.0009582448 0.0012272861 0.0012009543 0.00090214686 0.0007899509 0.0009525205 0.00097312796 0.001921069 0.0013303232 0.0008632217 0.001872985 0.0010773098 0.0012799494 0.0007613295 0.0011723329 0.0019119101 0.00091130566 0.0010177774 0.00092504395 0.0013039914 0.0012135478 0.0008334555 0.0007201147 0.015470444 0.003531882 0.0008918431 0.0034219758 0.0024213712 0.00083689 0.0007979649 0.00077277806 0.0021649234 0.0009994596 0.0010475436 0.0010086185 0.0012295757 0.0008082686 0.002289713 0.001689808 0.00422681 0.003204453 0.0024534273 0.0026537771 0.002741931 0.003953189 0.005237718 0.035121903 0.15373582 5.7310007e-07 5.7310007e-07 1.7193001e-06 5.7310007e-07 2.2924003e-06 1.7193001e-06 1.7193001e-06 1.1462001e-06 5.7310007e-07 0.0 0.0 1.1462001e-06 0.0 1.1462001e-06 6.8772006e-06 0.0010900364 0.0 2.2924003e-06 5.7310007e-07 6.8772006e-06 5.7310007e-07 0.0 5.7310007e-07 0.0 0.0 1.1462001e-06 1.1462001e-06 1.1462001e-06 4.0117e-06 0.0 6.533341e-05 0.0010780012 1.6619902e-05 1.8339202e-05 2.2924003e-06 1.7766102e-05 2.2924003e-06 1.20351015e-05 9.742701e-06 0.0 1.1462001e-06 0.0 0.0 1.1462001e-06 5.7310007e-07 0.0 1.3754401e-05 0.0010034982 2.2924003e-06 2.8081902e-05 5.7310007e-07 5.1579004e-06 2.8655004e-06 8.7111206e-05 4.4128705e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027348334 1.8912302e-05 8.596501e-06 1.3754401e-05 8.596501e-05 2.8081902e-05 1.54737e-05 2.9801204e-05 1.2608201e-05 5.731001e-06 9.513461e-05 9.169601e-06 1.3181301e-05 5.1579004e-06 1.0888901e-05 0.00043383674 0.011046504 9.857321e-05 0.00013639781 5.5590706e-05 0.0034225537 0.0020419555 0.00018854992 0.00012780131 3.3812903e-05 9.742701e-06 2.8655002e-05 1.2608201e-05 2.1204702e-05 3.8397702e-05 2.2924003e-05 0.00032036295 0.0053567663 3.20936e-05 0.00015874872 5.6163804e-05 0.00056966144 0.00025216403 0.00057997723 0.00041664374 2.9228104e-05 2.8081902e-05 0.00035245653 1.0888901e-05 2.9801204e-05 2.2350901e-05 3.7251502e-05 0.00028368452 0.012760073 5.0432805e-05 0.0011977791 0.00027164942 0.00186716 0.0010860246 0.0038277353 0.0019089963 8.195331e-05 3.3812903e-05 0.00012092411 4.1263203e-05 4.7567304e-05 3.6678404e-05 6.3614105e-05 7.8514706e-05 0.0087867705 9.112291e-05 0.00026706464 0.00023095933 0.0027675002 0.0016809024 0.0076715173 0.004077607 7.6222306e-05 5.6163804e-05 0.00025159091 6.304101e-05 0.00012321651 7.8514706e-05 8.997671e-05 0.0006831353 0.008211951 0.00013009371 0.00071809435 0.00035016413 0.0013072413 0.0006006089 0.0023846694 0.0017840605 0.00031348574 0.000119204815 0.00053756783 0.00012207031 0.00024700613 0.00013983641 0.00019771952 0.00044186015 0.0063069663 0.00047567306 0.00062582525 0.00030832784 0.0007536266 0.00051980175 0.0012791593 0.0007725389 0.00028826934 0.00023726342 0.00031749744 0.00031749744 0.00029400032 0.00029973133 0.0005742463 0.0018877916 0.0064353407 0.00055476086 0.0007891588 0.00043956775 0.0012046563 0.00055991876 0.001145627 0.0009685391 0.0011926212 0.00032609393 0.00065448025 0.00044014084 0.0006034744 0.00034099453 0.0008115097 0.0023124588 0.0087999515 0.0012149721 0.001099779 0.0014189958 0.0036105304 0.0011599545 0.0011181182 0.0012436272 0.0036964954 0.000521521 0.00060232816 0.0008011939 0.0012390424 0.0006567727 0.0008521998 0.0024809502 0.07216648 0.012803055 0.019944455 0.010283708 0.02170158 0.02342088 0.007380956 0.012654049 0.04115661 0.0034494894 0.0033646706 0.0062416326 0.017775845 0.005469094 0.012666658 0.02529549 0.05649162 0.013152646 0.01922063 0.010118655 0.02075883 0.02626976 0.009449847 0.014244402 0.038837846 0.0032901675 0.0033881676 0.004967058 0.017441154 0.0060685566 0.016273176 0.031107297 0.00946704 0.00585479 0.0059883227 0.0053372807 0.0058851647 0.005987176 0.0056215385 0.0055246847 0.005744182 0.0052599125 0.0059888954 0.00551093 0.0053372807 0.0054771174 0.0054106377 0.0055017606 3856.0 9.928423 38284.0 0.027008671 0.0018806813 0.0020896457 0.002376972 0.03560234 0.0012537874 0.016560443 0.0020896457 0.005197994 0.002194128 0.0015672344 0.0062689376 0.0046755825 0.0022463691 0.0034479157 0.0013843904 0.005511441 0.0019068018 0.0022986103 0.0037613625 0.0032911922 0.0013321493 0.0013843904 0.0010448229 0.0038397242 0.0043098945 0.0015411138 0.005067391 0.0042837737 0.0016194755 0.0016194755 0.0013321493 0.004048689 0.005694285 0.016952252 0.011127364 0.017526904 0.007157037 0.0079667745 0.01050047 0.0072876397 0.008619789 0.0015672344 0.0020896457 0.014340194 0.005877129 0.003970327 0.0038397242 0.023430154 0.0146014 0.016482081 0.024474977 0.014496918 0.0086981505 0.016847769 0.0237436 0.0021418869 0.0043098945 0.0016978373 0.004336015 0.0043098945 0.004022568 0.0041270503 0.0061644553 0.002821022 0.031684253 0.006242817 0.018179918 0.016142514 0.07063003 0.0068697105 0.009690733 0.013791663 0.030561069 0.008384704 0.004074809 0.02598997 0.012694598 0.03147529 0.035759065 0.01185874 0.0016455961 0.036803886 0.023482395 0.0783356 0.01687389 0.0057204054 0.0061905757 0.005380838 0.008254101 0.0018545607 0.001097064 0.0029516248 0.0017239578 0.006712987 0.0036830008 5.809578 1.0 0.0 0.0 6.0 873472.0 880640.0 0.0 0.0 15.0 0.0 1.0 0.0 0.0 0.0 1271404000.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 364544.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -269824.0 0.0 0.0 0.0 0.0 0.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24064.0 0.0 0.0 0.0 0.0 0.0 0.0 7.683511 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.63214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3780262 0.0 0.0 0.0 0.0 0.0 6.650035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.525257 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -270336.0 0.0 0.0 0.0 0.0 0.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 868352.0 22632.0 749568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0