Input: 0.06078292 0.0039559403 0.003603719 0.00385988 0.0046749376 0.0038395035 0.0031467045 0.003027357 0.004046179 0.0036270064 0.0030506442 0.0044245985 0.0032311212 0.0031874573 0.003347558 0.003888989 0.0032223884 0.003967584 0.0032573196 0.0029749603 0.0039268313 0.0032573196 0.0031234173 0.0039501186 0.0030040694 0.0034989258 0.0028323252 0.0034698166 0.0035367678 0.0028614344 0.0033038943 0.0033679344 0.003784196 0.003207834 0.003888989 0.0037754632 0.0032689632 0.003929742 0.003819127 0.0034756386 0.0034698166 0.002838147 0.0031059517 0.0029371183 0.0030826642 0.002951673 0.0042644977 0.0038016615 0.004150972 0.002908009 0.0035804317 0.0045323023 0.0043867566 0.0029254747 0.003015713 0.0034610839 0.0038249488 0.004019981 0.0029312964 0.004369291 0.0034086874 0.002977871 0.003271874 0.0033009832 0.006319607 0.004514837 0.0029982475 0.0034290638 0.0057374234 0.011684433 0.0040985756 0.0044595296 0.0036852248 0.0039093657 0.003452351 0.0029662275 0.0035513225 0.004511926 0.004043268 0.0033912219 0.004765176 0.0046400065 0.0031467045 0.00367067 0.0030506442 0.0049689403 0.0036735812 0.002989515 0.0044624405 0.002948762 0.0031583481 0.0029807822 0.0032951615 0.0037259776 0.003958851 0.003571699 0.0036473828 0.0039908714 0.004765176 0.0030855753 0.0039530294 0.0034174202 0.003565877 0.0034145091 0.003856969 0.0033446471 0.0037259776 0.003746354 0.0036590265 0.0031088626 0.0032252993 0.003271874 0.003053555 0.004110219 0.0031437937 0.0039530294 0.0047244234 0.0034145091 0.0037638196 0.0033650235 0.003533857 0.0032922504 0.0038365927 0.0030244458 0.003350469 0.0039006327 0.0041742595 0.0036648484 0.0041655265 0.004072377 0.0035600553 0.003533857 0.003571699 0.0036939576 0.0042906962 0.0039035438 0.0032602304 0.005239656 0.0031467045 0.0069745644 0.0033388252 0.004116041 0.0035775206 0.0028789 0.004031624 0.0027566412 0.003097219 0.00487288 0.0035571442 0.003426153 0.0030186241 0.0037812851 0.0033621127 0.00291092 0.0033766672 0.0038540582 0.004759354 0.0033795782 0.0028294143 0.0030768425 0.003059377 0.003426153 0.002835236 0.003426153 0.0033854 0.0038074835 0.0028439688 0.0033184488 0.0034290638 0.0033970436 0.0033562907 0.0032922504 0.0035542333 0.0036619373 0.002809038 0.0032311212 0.0035134805 0.0027246212 0.003746354 0.0045759664 0.003787107 0.004069466 0.0034115983 0.0042761415 0.0032602304 0.0038395035 0.0030506442 0.0035425897 0.0035775206 0.0032864287 0.0031234173 0.003312627 0.003961762 0.0035949862 0.0037609087 0.0033038943 0.0029982475 0.003350469 0.010755849 0.0042528543 0.003463995 0.0034785494 0.0028701671 0.0038307707 0.005714136 0.0033562907 0.0037579976 0.0035134805 0.0034377966 0.0036240953 0.0027158884 0.0028294143 0.0029866039 0.0032107448 0.0039850497 0.0033999546 0.0035018367 0.0036619373 0.0030331786 0.0033388252 0.003528035 0.003065199 0.0035163914 0.0033417363 0.0036357392 0.003309716 0.003015713 0.0039530294 0.003426153 0.0032922504 0.0035251242 0.0035949862 0.0049718516 0.0039268313 0.0028614344 0.0034494402 0.0041684373 0.0038773455 0.0030797534 0.0037667304 0.003530946 0.003644472 0.0039646733 0.003676492 0.003277696 0.004657472 0.004150972 0.0034057763 0.003568788 0.004372202 0.0034348855 0.0033330035 0.005024248 0.0035134805 0.0041364175 0.0062060817 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.05297559 0.05057512 0.05271391 0.055026665 0.051806055 0.052003413 0.051806055 0.055254724 0.053016525 0.053083774 0.050693534 0.05500766 0.052550174 0.050703768 0.0528601 0.054234304 1403.0 7.826087 10980.0 0.008652095 0.0070127505 0.0066484516 0.019672131 0.006284153 0.007468124 0.006010929 0.006193078 0.0071949 0.006193078 0.0064663026 0.0054644807 0.006557377 0.005919854 0.0071949 0.0048269583 0.0063752276 0.006010929 0.006921676 0.009380693 0.0058287797 0.0057377047 0.006557377 0.0070127505 0.0067395265 0.0071949 0.0071949 0.006557377 0.0048269583 0.006921676 0.005919854 0.0054644807 0.006830601 0.0356102 0.0063752276 0.0070127505 0.066848814 0.007377049 0.0067395265 0.03852459 0.006557377 0.036703095 0.006193078 0.0055555557 0.0067395265 0.00856102 0.035336975 0.006193078 0.037795994 0.020947177 0.0063752276 0.007377049 0.0063752276 0.00564663 0.006830601 0.0076502734 0.036247723 0.0072859745 0.0061020036 0.005919854 0.01903461 0.00564663 0.0064663026 0.01010929 0.0063752276 0.010291439 0.020400729 0.008378871 0.025409836 0.017941711 0.0075591984 0.009653917 0.006557377 0.010291439 0.0072859745 0.0061020036 0.0104735885 0.010018215 0.010928961 0.0104735885 0.006921676 0.0055555557 0.0103825135 0.01010929 0.013661202 0.0072859745 0.0058287797 0.006284153 0.006557377 0.006284153 0.0064663026 0.0057377047 0.0058287797 0.0066484516 0.0066484516 0.006284153 6.189208 0.0 0.0 0.0 9.0 343534.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.048464622 0.0051153195 0.004107105 0.004212616 0.0045838575 0.003825743 0.003485764 0.003767126 0.00477534 0.0034545015 0.0035990903 0.0034779483 0.003927346 0.0034974872 0.0035873668 0.0045291483 0.004185261 0.003665523 0.0035326576 0.003220033 0.003622537 0.004435361 0.0033020969 0.003161416 0.003282558 0.003360714 0.0033528984 0.003524842 0.0033763452 0.0030871676 0.0033724376 0.003341175 0.0040641194 0.0032669266 0.003583459 0.0033568062 0.0037710338 0.0035482887 0.0032552031 0.0032122175 0.003524842 0.003485764 0.0032083096 0.0033763452 0.003341175 0.0033958843 0.0034896717 0.003341175 0.0033841608 0.0035521965 0.0034232389 0.0036186292 0.0036498918 0.0037554025 0.003583459 0.003622537 0.003360714 0.0036577075 0.003458409 0.003786665 0.0035170263 0.003442778 0.0032903736 0.0033489906 0.006131349 0.0040602116 0.004482255 0.003583459 0.003728048 0.0054748375 0.003728048 0.0036889699 0.0035209341 0.0032317564 0.0031106144 0.0033138203 0.0035209341 0.0039351615 0.0034388702 0.0033568062 0.0048769433 0.0035131185 0.0034545015 0.004560411 0.0034388702 0.0035795511 0.004150091 0.004275141 0.003360714 0.003360714 0.0035170263 0.0033333595 0.003481856 0.003806204 0.0034037 0.0035951824 0.0033997921 0.0040133176 0.0035717357 0.003661615 0.0037006931 0.0052833552 0.003911715 0.0035990903 0.0044197296 0.0042438786 0.004701092 0.0032669266 0.004025041 0.0034896717 0.004005502 0.004212616 0.0041735377 0.0037944806 0.004720631 0.0041774455 0.00570149 0.0054787453 0.003524842 0.0042282473 0.0039859633 0.0037124166 0.0037397712 0.0033958843 0.0036342605 0.0041774455 0.0034779483 0.003544381 0.004478347 0.0038452821 0.003419331 0.0044158217 0.00372414 0.004372836 0.0033177282 0.0033763452 0.0038530978 0.0044275452 0.0034388702 0.006139165 0.0036967855 0.0039351615 0.0033450827 0.0032942814 0.0035795511 0.003380253 0.0033919765 0.003337267 0.003380253 0.003524842 0.0034935796 0.0032434799 0.0034896717 0.003298189 0.0032747423 0.003458409 0.003239572 0.0036537996 0.003544381 0.003419331 0.003544381 0.0034701326 0.0033724376 0.0036186292 0.003524842 0.0033958843 0.0035326576 0.0035287498 0.003786665 0.0033958843 0.0033841608 0.0034505937 0.0036733386 0.003458409 0.003442778 0.0032864658 0.0034662248 0.0033958843 0.003481856 0.0034349624 0.0034935796 0.0035053028 0.0034545015 0.0034154234 0.0034974872 0.0036694307 0.0034076078 0.0033528984 0.0036108138 0.003282558 0.0034896717 0.003442778 0.004673737 0.003810112 0.003606906 0.00356392 0.0033880686 0.0034974872 0.0036733386 0.0038218352 0.0037514947 0.0036772464 0.0036264448 0.0035170263 0.003810112 0.0032747423 0.003337267 0.003458409 0.0037983884 0.0033958843 0.0033958843 0.0035912746 0.0036108138 0.0037514947 0.0037475869 0.003728048 0.0036420762 0.0033489906 0.0034935796 0.003462317 0.0035131185 0.0035209341 0.003645984 0.0033528984 0.00384919 0.0035326576 0.0036967855 0.0034701326 0.0037124166 0.0035482887 0.003321636 0.003544381 0.0056037954 0.0041188286 0.0035951824 0.004185261 0.004236063 0.0037593103 0.0037632182 0.003161416 0.0040641194 0.0032512955 0.0033255438 0.003462317 0.0038609132 0.0033528984 0.0036264448 0.0034662248 0.0040602116 0.003645984 0.003602998 0.0035795511 0.0042282473 0.0034154234 0.0038022962 0.0127199115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006192115 0.00012994582 0.0006497291 0.0005591608 0.0010572864 0.0005414409 0.004002725 0.0020200668 0.00025201612 5.7097404e-05 4.1346397e-05 3.1502015e-05 9.4506046e-05 3.1502015e-05 3.3470893e-05 0.0004351216 0.0081413025 0.0001811366 0.00033470892 0.00024414062 0.0013998708 0.00071076426 0.003571541 0.0030281313 0.00054734753 0.00021263861 0.00026776714 0.00026186052 0.00031305128 0.000238234 0.00026579827 0.00044299712 0.005495133 0.00017916772 0.00011813256 0.00017326108 0.00030911353 0.0002461095 0.0004193706 0.0007816438 0.000746204 0.00037802418 0.00041740172 0.00038393083 0.0005197833 0.0003543977 0.00040558845 0.0011695124 0.0064835087 0.00019098098 0.00020870086 0.000222483 0.00056112965 0.000285487 0.00042133947 0.00074817287 0.0011931389 0.0007166709 0.0008033014 0.00076786167 0.0009549049 0.0007087954 0.00067532447 0.0011872322 0.014337355 0.0017070154 0.0007737683 0.001634167 0.0029355942 0.0026008852 0.0019196541 0.0032958984 0.004270492 0.0018192414 0.0021736391 0.0020456621 0.0031974546 0.0026107295 0.0039968183 0.0071332376 0.015217443 0.003112793 0.0022898028 0.003032069 0.005036385 0.0041543283 0.002622543 0.004807995 0.00527265 0.0014707504 0.0013644311 0.0014569683 0.0032486455 0.0016696069 0.0033116494 0.006448069 0.05146642 0.05041307 0.05086788 0.050682805 0.05109824 0.051218342 0.05057058 0.05081669 0.050879695 0.050107893 0.05086788 0.050560735 0.050210275 0.051476263 0.052523706 0.050755654 1317.0 7.8526955 10342.0 0.013053568 0.007251982 0.011119706 0.0052214274 0.006091665 0.00812222 0.006091665 0.006091665 0.0058982787 0.0062850513 0.0065751304 0.0052214274 0.006091665 0.008799071 0.0102494685 0.00812222 0.007251982 0.0067685167 0.008025527 0.0074453685 0.0067685167 0.0065751304 0.0062850513 0.0074453685 0.005704893 0.007638755 0.007251982 0.0067685167 0.008605686 0.008218913 0.007928834 0.006961903 0.008315606 0.015760975 0.008315606 0.011989944 0.0096693095 0.0096693095 0.010152775 0.0096693095 0.008315606 0.010442855 0.006961903 0.006478437 0.0084123 0.008992458 0.006188358 0.008508992 0.012570103 0.007832141 0.008895765 0.0141171925 0.008992458 0.0051247342 0.0084123 0.008508992 0.005994972 0.0044478825 0.0070585962 0.007155289 0.00686521 0.0070585962 0.0046412684 0.0063817445 0.006188358 0.023786502 0.010346161 0.016341133 0.017694836 0.04931348 0.017017985 0.010442855 0.011023013 0.026107136 0.0074453685 0.008025527 0.023979887 0.012763489 0.023593115 0.027944304 0.01373042 0.0063817445 0.025236897 0.023496423 0.03277896 0.012763489 0.008799071 0.016437827 0.010732934 0.011119706 0.007928834 0.0066718236 0.007155289 0.005994972 0.0054148133 0.0055115065 6.3564663 0.0 1.0 0.0 3.0 255898.0 204800.0 0.0 0.0 158.0 0.0 1.0 0.0 0.0 0.0 1399838600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -23552.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2720685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8712263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4835434 0.0 6.0614696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4558.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23144.0 0.0 16592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 16592.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.21401314 0.030872311 0.0038925405 0.004032927 0.016986791 0.001403867 0.0014676792 0.0010975688 0.008946462 0.001225193 0.0018505519 0.0015314913 0.007874418 0.00081679533 0.00067640864 0.013834471 0.0045178994 0.00080403296 0.0007785081 0.00071469595 0.0064577884 0.001671878 0.0013017677 0.0010592815 0.0054495563 0.0005615468 0.0003318231 0.0009827069 0.0065343627 0.00131453 0.0009571821 0.0015570162 0.009865357 0.0015570162 0.00037011039 0.0014421543 0.03427988 0.0009316572 0.0026801098 0.002897071 0.0032671813 0.0025014358 0.0005104971 0.00039563526 0.0028460212 0.00067640864 0.0024120987 0.0006508838 0.0052070706 0.0057048053 0.0020164635 0.0010082318 0.004339225 0.0023099994 0.0027949717 0.0020802757 0.0039053028 0.0031523195 0.0033054687 0.002450386 0.003764916 0.0029736457 0.0032927063 0.0011996682 0.0036372917 0.0010337566 0.0010082318 0.005615468 0.015314913 0.002118563 0.0012634803 0.0017739774 0.0014293919 0.0009954694 0.0006636462 0.0010337566 0.002782209 0.0023099994 0.0012634803 0.00053602195 0.003254419 0.0006636462 0.00071469595 0.0033692808 0.005819667 0.0021313254 0.0022334247 0.0012890052 0.0010082318 0.0003190607 0.00062535895 0.0028460212 0.0016974028 0.001671878 0.0021951376 0.0038925405 0.0015314913 0.004747623 0.0013528173 0.00310127 0.003139557 0.026354413 0.002029226 0.0010337566 0.0014421543 0.0030502202 0.00026801098 0.00062535895 0.0036883415 0.0015187289 0.0030119328 0.0031140323 0.0022589497 0.00034458554 0.0040456895 0.002960883 0.011869057 0.005104971 0.0024631484 0.0010720439 0.0021313254 0.0009188948 0.00038287282 0.0005104971 0.0021568502 0.0007529832 0.00048497223 0.00047220982 0.0046710484 0.0014421543 0.0002807734 0.026277838 0.017076127 0.019641375 0.0006381214 0.0006381214 0.0035734796 0.034892477 0.00029353582 0.022321485 0.0005615468 0.012111544 0.00044668495 0.00029353582 0.015621211 0.00021696127 0.00026801098 0.003496905 0.0016846404 0.0004211601 0.00044668495 0.00030629826 0.00053602195 0.0002807734 0.00019143641 0.00016591155 0.0005104971 0.0005232595 0.00030629826 0.00044668495 0.0015059664 0.0017867398 0.00024248612 0.0005232595 0.0007019335 0.00034458554 0.0004977347 0.00021696127 0.0005615468 0.0015314913 0.00029353582 0.00025524854 0.00062535895 0.00017867399 0.00017867399 0.00026801098 0.0010082318 0.00037011039 0.00029353582 0.00026801098 0.0014676792 0.00043392254 0.004339225 0.00035734798 0.0022206623 0.0007529832 0.0021823752 0.0007912705 0.002029226 0.00043392254 0.0013655798 0.0010592815 0.008665688 0.0030119328 0.0018760768 0.0044413246 0.0034458553 0.0007529832 0.0062535894 0.010580053 0.0015314913 0.0021058004 0.00039563526 0.00053602195 0.0006381214 0.00034458554 0.00039563526 0.00037011039 0.0016846404 0.0005232595 0.0021058004 0.0011869058 0.0006891711 0.0004594474 0.00062535895 0.0010848063 0.005577181 0.00067640864 0.00038287282 0.0009827069 0.0006381214 0.0004594474 0.0005232595 0.00057430926 0.0013400549 0.0006125965 0.0005998341 0.00030629826 0.00085508265 0.00037011039 0.00058707164 0.00035734798 0.010873588 0.006330164 0.0007274584 0.004186076 0.0034458553 0.00076574564 0.0005232595 0.00058707164 0.002054751 0.00094441965 0.0009316572 0.00096994446 0.001135856 0.00030629826 0.0019143642 0.0012762428 0.0022079 0.00131453 0.0026928722 0.0010975688 0.0012762428 0.001671878 0.0035734796 0.04422181 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011380209 0.00017578126 0.00021484375 0.00013671875 0.00022135417 0.0001171875 0.0007877604 0.00017578126 7.8125e-05 6.510417e-06 6.510417e-06 1.953125e-05 0.0 0.0 6.510417e-06 6.510417e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00734375 0.0001953125 0.00018229167 5.859375e-05 0.00041015624 0.00041666668 0.0030859376 0.0013606771 5.2083335e-05 5.859375e-05 3.2552085e-05 4.5572917e-05 4.5572917e-05 2.6041667e-05 1.3020834e-05 6.510417e-06 0.016022135 0.00021484375 0.0015039062 0.0026171876 0.0015494792 0.0007617187 0.0021679688 0.00068359374 0.00022786458 0.00012369792 0.00012369792 0.00010416667 0.00015625 0.00017578126 0.00010416667 0.00013020834 0.011816407 0.00034505207 0.0014257813 0.0004296875 0.0005403646 0.0007877604 0.0068229167 0.0023307293 0.0011848959 0.00018229167 0.00014973959 0.0001171875 0.0001171875 0.00015625 0.00014322916 0.0001171875 0.028639322 0.0014192709 0.0060286457 0.0023372397 0.002454427 0.0015234374 0.010690104 0.0042578126 0.0040104166 0.0005013021 0.0003841146 0.00044921876 0.00092447916 0.00056640623 0.00080729165 0.0016731771 0.04998698 0.0050455728 0.012102865 0.017460937 0.006171875 0.004420573 0.017174479 0.0075585935 0.023684897 0.0036458333 0.0028190105 0.0033203126 0.0063867187 0.0021289063 0.0032291666 0.008196615 0.07259115 0.009257812 0.014342448 0.0097981775 0.008053386 0.00484375 0.0070833336 0.005214844 0.03628255 0.0038606771 0.0018424479 0.004824219 0.009264323 0.00375 0.006666667 0.015657552 0.06479818 0.009244791 0.015625 0.008170573 0.012714844 0.010768229 0.0041080727 0.008723958 0.0459375 0.0035286457 0.002018229 0.006582031 0.014726562 0.007421875 0.011920573 0.02704427 0.041666668 0.009446614 0.016764322 0.006393229 0.011204427 0.010507813 0.008385417 0.007955729 0.03640625 0.013776042 0.0022721353 0.0041080727 0.014355469 0.004147135 0.0100195315 0.01592448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 418.0 14.260765 5961.0 0.058714982 0.0010065425 0.0013420567 0.0013420567 0.007381312 0.001845328 0.0 0.00083878543 0.011742996 0.008555612 0.00016775708 0.00033551417 0.0067102835 0.0010065425 0.02130515 0.002013085 0.024157021 0.0067102835 0.015936924 0.004193927 0.011910753 0.010065425 0.016775709 0.009729911 0.014594867 0.007884583 0.02365375 0.011910753 0.012414024 0.0030196276 0.010736453 0.00402617 0.0035228988 0.0021808422 0.00050327124 0.02080188 0.0050327126 0.0033551417 0.0016775709 0.017446738 0.0030196276 0.00083878543 0.00083878543 0.001845328 0.006207012 0.0013420567 0.009729911 0.0011742996 0.0060392553 0.00067102833 0.0016775709 0.0046971985 0.0057037408 0.009729911 0.0033551417 0.0011742996 0.0025163563 0.0 0.00067102833 0.006207012 0.0031873847 0.0063747694 0.0057037408 0.02885422 0.0031873847 0.03690656 0.007549069 0.03170609 0.024828048 0.055192083 0.009729911 0.008555612 0.012078511 0.030196276 0.0010065425 0.0043616844 0.03120282 0.013420567 0.03120282 0.033551417 0.01325281 0.00067102833 0.041100487 0.027176648 0.05468881 0.016943466 0.0065425267 0.004193927 0.010065425 0.0057037408 0.0013420567 0.0011742996 0.0031873847 0.00067102833 0.00050327124 0.0 5.726169 0.0 0.0 0.0 9.0 78355.0 114688.0 0.0 3.0 58.0 1.0 1.0 0.0 1.0 0.0 2358767600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 27.0 4.0 0.0 4.0 0.0 58368.0 1024.0 4096.0 11.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -3584.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -58368.0 -2048.0 1024.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -2.2660353 0.0 0.0 -6.4175916 0.0 0.0 -1.2666246 0.0 0.0 0.0 0.0 0.0 5.4528193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.189631 0.0 0.0 0.0 0.0 0.0 4.5362334 0.0 0.0 -6.0287457 -4.943086 3.278212 0.0 0.0 0.0 -4.503056 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -3476.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 9304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 972.0 0.0 0.0 -92.0 0.0 0.0 0.0 0.0 0.0 173.0 0.0 0.0 -58008.0 -1740.0 928.0 0.0 0.0 0.0 -40.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 173.0 86016.0 1740.0 90112.0 928.0 102400.0 0.0 0.0 0.0 0.0 3476.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 98308.0 0.0 0.0 0.0 0.0 244.0 90436.0 0.0 0.0 0.0 0.0


Input: 0.18133831 0.011679486 0.019819364 0.0068955277 0.013270973 0.0042063943 0.0028973164 0.0033001865 0.013577875 0.0021817968 0.0025521775 0.0016277254 0.0056306855 0.0017141976 0.0013118272 0.005110853 0.008356308 0.0015542491 0.0021325627 0.0010009274 0.0032204622 0.0019166324 0.0009756856 0.0009949293 0.0026381498 0.0006227993 0.0006910273 0.0008337313 0.0019291283 0.00048034522 0.0005858112 0.00076075486 0.0032474536 0.00047609658 0.0007392618 0.0006715336 0.005821874 0.0007919948 0.0005890602 0.0006935265 0.0014172933 0.0005923091 0.00057731394 0.0011703728 0.0015527497 0.0008992102 0.0031522342 0.00065054034 0.0028185917 0.000840979 0.0009307001 0.0072046784 0.0014390362 0.0006227993 0.0006140521 0.00052208174 0.0017646813 0.00061305246 0.0006880283 0.002178048 0.0018693976 0.000921703 0.0010214208 0.0004596019 0.013859034 0.0038347642 0.0034016538 0.007060725 0.005796132 0.016812582 0.0041069267 0.0022522742 0.0037745337 0.0042716237 0.0018171645 0.0019838607 0.0030615134 0.0043423506 0.002041842 0.0021920437 0.006978251 0.002631652 0.003422647 0.01083076 0.0058696084 0.009437709 0.0051973253 0.0032577002 0.0016847071 0.005384515 0.0027843527 0.0043498483 0.0014350376 0.0037962766 0.0035925922 0.0029817892 0.0011193893 0.00902859 0.0014765242 0.004704734 0.009102317 0.018266113 0.0056836684 0.002395478 0.0056029446 0.0071264533 0.0031084982 0.0014637783 0.008738934 0.0043426007 0.008230847 0.008297826 0.0037155526 0.0008462273 0.009070827 0.008868642 0.01768505 0.007254912 0.001762682 0.0016984526 0.0031719778 0.0034326438 0.0009876817 0.001123388 0.002057587 0.0021618034 0.0012238557 0.0008459774 0.004036699 0.0007580057 0.0004985893 0.008061902 0.0030460183 0.0045200433 0.0004571027 0.0012408502 0.0017861744 0.011284114 0.00047959544 0.048487626 0.003236457 0.00803841 0.0003966222 0.00071576936 0.003739045 0.0018221628 0.0011248875 0.00058631104 0.001256845 0.0006410434 0.00038937453 0.00038087726 0.0013992991 0.00044610625 0.00039962123 0.0006970254 0.0022755167 0.00041036776 0.0004133668 0.0003828766 0.00088146597 0.0020903263 0.00032539514 0.0007195181 0.0010866498 0.0008382299 0.00044885537 0.00033189304 0.0013350698 0.00037837806 0.00037238 0.0003313932 0.0010971464 0.0003106499 0.00027416166 0.00031139966 0.0032197125 0.00050408754 0.0016022337 0.00045210432 0.0013163259 0.00033289273 0.0015265081 0.001052161 0.0020161003 0.0012246054 0.0016919548 0.00057731394 0.001076653 0.0003581346 0.00050508726 0.0005240811 0.009707122 0.0007077719 0.001638472 0.009751857 0.0032567005 0.0006445423 0.003680064 0.0024944462 0.0023787334 0.00158274 0.00094194646 0.00084197865 0.0015285074 0.0005640682 0.0006255484 0.00067878125 0.0019106343 0.00086047273 0.0025201878 0.0013658098 0.0011963645 0.0005313288 0.0015844894 0.00093319925 0.0036198336 0.0007720012 0.0013865532 0.0018841429 0.0015757423 0.0007245165 0.00084197865 0.0007187684 0.0017504359 0.00053082895 0.000639294 0.00045410366 0.0016849571 0.0013760566 0.0007130202 0.00043885858 0.019138332 0.003497623 0.0009506936 0.004700485 0.0041754046 0.0006190505 0.0007035233 0.0006467916 0.0053390297 0.00083098223 0.0015644958 0.0009262015 0.0049601514 0.0006200502 0.001750186 0.0009314498 0.0054422463 0.0010936476 0.0011691232 0.0012770884 0.008173366 0.0011861178 0.0019946073 0.042551287 0.0010140649 7.50048e-06 1.750112e-06 1.25008e-07 0.0002561414 1.25008e-07 1.25008e-07 1.25008e-07 1.25008e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007112955 7.262965e-05 6.2504e-07 5.00032e-07 0.00023176483 2.125136e-06 6.2504e-07 7.50048e-07 5.00032e-07 1.000064e-06 3.75024e-07 3.75024e-07 3.75024e-07 3.75024e-07 3.75024e-07 3.75024e-07 0.00022088914 3.3502143e-05 1.625104e-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 0.0005184082 0.000249641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000218764 3.500224e-06 1.000064e-06 2.50016e-06 3.625232e-06 6.2504e-07 3.75024e-07 6.2504e-07 6.2504e-07 1.000064e-06 5.00032e-07 1.000064e-05 7.50048e-07 8.75056e-07 1.000064e-06 1.02506565e-05 0.0002061382 3.625232e-06 2.375152e-06 6.9129426e-05 0.0001765113 3.625232e-06 1.000064e-06 5.00032e-07 1.125072e-06 2.000128e-06 5.00032e-07 2.1501377e-05 2.000128e-06 1.25008e-06 1.625104e-06 1.9126224e-05 0.0010704435 1.7376113e-05 3.6627345e-05 2.4126544e-05 0.00017113595 4.4127824e-05 1.87512e-06 4.500288e-06 1.0375664e-05 5.1253282e-06 1.500096e-06 6.625424e-05 3.8752482e-06 2.000128e-06 6.000384e-06 7.0754526e-05 0.0022541443 0.00014950956 0.00013800884 9.938136e-05 0.00059291295 0.00023013973 0.0018094908 0.00093018456 7.6254883e-06 5.1253282e-06 3.1252e-06 9.313096e-05 7.6254883e-06 4.3752802e-06 1.062568e-05 0.00032102055 0.010251156 0.0002593916 0.0004624046 0.0006954195 0.001110446 0.0009953137 0.0039278762 0.002206016 1.062568e-05 3.75024e-06 5.250336e-06 0.00041902682 1.0500672e-05 3.625232e-06 7.6254883e-06 0.0016489805 0.015880391 0.0009825629 0.00043140262 0.00047403033 0.0031798284 0.0020656323 0.0071155806 0.0031780784 0.00019088722 0.00037789918 0.00013888389 0.00024789086 0.00023714018 0.00012825821 0.00013938392 0.000562411 0.04536853 0.0029626896 0.0015503492 0.0012923327 0.010460169 0.00554623 0.020013906 0.010048018 0.0019816267 0.0012793319 0.00075542333 0.000922309 0.001015565 0.000562161 0.00069904473 0.00281318 0.06204497 0.0039288765 0.0038581218 0.0029185617 0.017083343 0.00953611 0.028926726 0.017027214 0.0047740554 0.002592416 0.0018761201 0.001967876 0.002044631 0.0012764568 0.0015882266 0.0052229594 0.02649432 0.0019416242 0.002406904 0.001907372 0.0070712026 0.004717552 0.011652746 0.007465853 0.004251272 0.0016084779 0.0009174337 0.0013302101 0.0019423743 0.001139823 0.0017817391 0.0042722733 0.042718735 0.0058836266 0.004253772 0.004731428 0.013397607 0.014325792 0.009247842 0.0087003065 0.025378374 0.0032310819 0.0020710076 0.0042285207 0.009489607 0.0050704493 0.0100722695 0.01922723 0.06789184 0.012182904 0.009887508 0.012276785 0.02680159 0.03611381 0.015986023 0.01632817 0.060377613 0.0072424635 0.0053364667 0.008641553 0.026241805 0.014198659 0.027668895 0.04555304 0.00011650746 2.3251489e-05 1.5626e-05 2.5876656e-05 4.3502783e-05 5.6753634e-05 3.6627345e-05 3.812744e-05 9.5881136e-05 2.062632e-05 3.000192e-05 3.000192e-05 4.2002688e-05 4.5252895e-05 5.750368e-05 9.050579e-05 43572.0 12.232306 532986.0 0.0013583846 0.00022889907 0.00015009775 0.0010262934 0.0020863588 0.00023077529 0.0006773161 0.000532847 0.00045779813 0.00015947886 0.00032083393 0.00028518573 0.0014353098 0.00035835837 0.018401984 0.00013508798 0.0006660588 0.0010112836 0.0010544367 0.00071296433 0.0004465408 0.00040526394 0.00046717926 0.00018199353 0.00058538123 0.00030394795 0.00058162876 0.00070733565 0.004803128 0.0011369905 0.004461656 8.818243e-05 0.0016604564 0.014940355 0.006052692 0.022784838 0.01372081 0.008776966 0.01484842 0.0056117796 0.011092224 0.015634557 0.00029644306 0.001133238 0.0066343206 0.005760001 0.004962607 0.0068013044 0.008533057 0.0032627499 0.008229109 0.021743536 0.023193855 0.0040113623 0.00784636 0.0038293689 0.0006191532 0.0044203787 0.001116352 0.0035910888 0.00032083393 0.0032533687 0.0036304893 0.0053847567 0.000600391 0.053746253 0.0052909455 0.02492936 0.024237035 0.10600654 0.009456159 0.011998439 0.010469318 0.0418435 0.0013077266 0.0049344636 0.035912763 0.02526708 0.053098954 0.051271517 0.014795885 0.0005215897 0.0539714 0.047785494 0.07702641 0.018355079 0.00476748 0.003763701 0.008518048 0.018552082 0.0013902804 0.00038837793 0.0002401564 0.00028518573 6.3791544e-05 4.878177e-05 5.2217627 0.0 0.0 0.0 5.0 4001289.0 6017024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1542213400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 5230592.0 1024.0 4096.0 11.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -407040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113664.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -5217792.0 -18432.0 188928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4487557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -472.0 0.0 0.0 -406914.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93.0 -12376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25724.0 0.0 0.0 -113248.0 0.0 0.0 0.0 0.0 0.0 93.0 0.0 0.0 -5217360.0 -18312.0 188928.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93.0 5406720.0 18312.0 5382144.0 188928.0 5824512.0 0.0 0.0 0.0 0.0 404396.0 5419008.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5414912.0 0.0 0.0 0.0 0.0 2784.0 5385528.0 2518.0 5402624.0 0.0 0.0


Input: 0.43661222 0.01899858 0.011896307 0.0085227275 0.0030184658 0.0015980114 0.0074573862 0.0007102273 0.0037286931 0.00390625 0.0078125 0.0007102273 0.0021306819 0.0028409092 0.0033735796 0.0008877841 0.0040838066 0.0023082385 0.0031960227 0.0012428977 0.0012428977 0.001953125 0.0012428977 0.0015980114 0.0008877841 0.00053267047 0.0007102273 0.0015980114 0.0008877841 0.00035511365 0.0010653409 0.0007102273 0.017045455 0.0026633523 0.004971591 0.0012428977 0.00053267047 0.00017755682 0.0 0.0 0.0028409092 0.0008877841 0.0010653409 0.0017755682 0.00017755682 0.0021306819 0.012073863 0.0010653409 0.005859375 0.0026633523 0.0010653409 0.0012428977 0.0017755682 0.00035511365 0.00017755682 0.0008877841 0.0023082385 0.00035511365 0.0024857954 0.00035511365 0.0026633523 0.0021306819 0.0023082385 0.00053267047 0.001953125 0.0055042612 0.0010653409 0.0055042612 0.0023082385 0.0024857954 0.0055042612 0.0014204546 0.0010653409 0.0031960227 0.00053267047 0.00035511365 0.0014204546 0.0023082385 0.0024857954 0.0023082385 0.0024857954 0.0010653409 0.0021306819 0.004794034 0.0031960227 0.0008877841 0.0023082385 0.0010653409 0.0008877841 0.00017755682 0.00035511365 0.00053267047 0.0015980114 0.00035511365 0.0 0.0037286931 0.0010653409 0.015980113 0.0072798296 0.010120738 0.0053267046 0.036576703 0.0037286931 0.0060369316 0.0044389204 0.024325283 0.00035511365 0.0037286931 0.012251421 0.0149147725 0.017223012 0.018821023 0.006747159 0.0007102273 0.021306818 0.022727273 0.025568182 0.010830966 0.00390625 0.0010653409 0.004616477 0.0072798296 0.00035511365 0.00053267047 0.00017755682 0.0007102273 0.00053267047 0.0 0.0015980114 0.00017755682 0.00017755682 0.00035511365 0.00017755682 0.00017755682 0.00035511365 0.00017755682 0.00017755682 0.0007102273 0.0 0.00035511365 0.00053267047 0.0 0.00017755682 0.00053267047 0.00053267047 0.00053267047 0.00017755682 0.0 0.0 0.0 0.00035511365 0.0017755682 0.00017755682 0.0 0.00035511365 0.0 0.00017755682 0.00017755682 0.00035511365 0.00017755682 0.00017755682 0.0007102273 0.0 0.00035511365 0.0 0.00017755682 0.0 0.0 0.0 0.0007102273 0.00017755682 0.0 0.00017755682 0.0 0.00017755682 0.0 0.0007102273 0.0012428977 0.0 0.00053267047 0.00035511365 0.0 0.0 0.0007102273 0.00035511365 0.0 0.00017755682 0.00035511365 0.0015980114 0.00017755682 0.00017755682 0.00053267047 0.00017755682 0.00035511365 0.00017755682 0.0 0.0 0.0 0.0 0.00053267047 0.0 0.0 0.0 0.0 0.0007102273 0.0007102273 0.00035511365 0.00017755682 0.00035511365 0.00017755682 0.00017755682 0.0 0.00017755682 0.0 0.0 0.0 0.0 0.0010653409 0.0 0.0 0.00053267047 0.0 0.00053267047 0.00035511365 0.00035511365 0.00017755682 0.0 0.0 0.0 0.0 0.00035511365 0.00035511365 0.00035511365 0.00017755682 0.00017755682 0.00017755682 0.00035511365 0.00017755682 0.0 0.00035511365 0.0 0.00035511365 0.0 0.00017755682 0.0 0.0 0.0 0.00017755682 0.0 0.00017755682 0.00017755682 0.00017755682 0.0 0.00017755682 0.00053267047 0.00053267047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.36254883 0.017700195 0.037597656 0.024047852 0.033081055 0.022338867 0.14562988 0.08154297 0.0048828125 0.0036621094 0.0020751953 0.0052490234 0.0028076172 0.0024414062 0.0024414062 0.001953125 0.088012695 0.0076904297 0.009033203 0.0028076172 0.013916016 0.010009766 0.064575195 0.041992188 0.0017089844 0.0024414062 0.0010986328 0.0026855469 0.0009765625 0.0010986328 0.0009765625 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90.0 19.233334 1731.0 0.033506643 0.00057770073 0.012709416 0.0017331023 0.00057770073 0.0 0.0 0.0 0.0 0.0 0.00057770073 0.0 0.00057770073 0.006354708 0.02310803 0.0034662045 0.006354708 0.0057770074 0.002310803 0.0028885037 0.0034662045 0.0011554015 0.00057770073 0.002310803 0.004621606 0.00057770073 0.004043905 0.0 0.006932409 0.006932409 0.006932409 0.0011554015 0.00057770073 0.013864818 0.0017331023 0.011554015 0.0057770074 0.0051993066 0.010976315 0.0034662045 0.0011554015 0.0057770074 0.00057770073 0.0 0.002310803 0.0034662045 0.004043905 0.004043905 0.004621606 0.0 0.004621606 0.010398613 0.00751011 0.0011554015 0.0034662045 0.0034662045 0.0 0.0 0.0 0.0 0.004043905 0.0 0.0 0.00808781 0.0011554015 0.03812825 0.022530328 0.026574235 0.013287118 0.09705373 0.008665511 0.01502022 0.00751011 0.06008088 0.0011554015 0.006932409 0.03119584 0.03928365 0.043327555 0.046793763 0.013864818 0.0017331023 0.054881573 0.06008088 0.0751011 0.028885037 0.010976315 0.0034662045 0.010398613 0.020797227 0.0 0.0 0.0 0.0 0.0 0.0 5.207941 0.0 0.0 0.0 1.0 5632.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3967959300.0 0.0 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 3072.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.361948 0.0 4.2204585 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 -2996.0 0.0 1484.0 0.0 0.0 0.0 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 11099.0 1484.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 56.0 10928.0 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: 0.1332962 0.011067495 0.0050845444 0.0056231385 0.013796092 0.0042695925 0.0032980049 0.002453844 0.012690016 0.0018651782 0.0018959917 0.001537143 0.008466324 0.0024018462 0.0017197771 0.027402809 0.012952252 0.005761799 0.0011006189 0.001195948 0.006274715 0.0018642152 0.0013968776 0.0010091413 0.006139585 0.0010476582 0.0008592466 0.0010582503 0.0047995197 0.00086277735 0.0009099605 0.00088171475 0.007346767 0.0006920193 0.00067051407 0.0009106024 0.034310807 0.0018725606 0.00052928564 0.0005312115 0.003112803 0.0008621354 0.0021553384 0.0020847241 0.0025562346 0.0008082118 0.0009215155 0.00096998253 0.0027664723 0.0007989036 0.00095874845 0.0045241243 0.0020478123 0.0010848911 0.0006252568 0.000524792 0.002282444 0.0016526936 0.0009860313 0.004101723 0.0024859414 0.0014129262 0.0007761144 0.0018516973 0.005407765 0.002843185 0.0016465951 0.001440209 0.013040841 0.0029863394 0.0048277653 0.008092068 0.0031651217 0.0033991116 0.0011195563 0.0008322848 0.0056407917 0.0017647134 0.0020596883 0.0015034408 0.007866102 0.004199299 0.0029218236 0.0032623766 0.0047757677 0.0032020337 0.0062724683 0.0043514404 0.0026056645 0.0027863728 0.005727776 0.0025103353 0.006116796 0.0024939657 0.0047561885 0.005336188 0.0017005187 0.003369903 0.0011099271 0.004079255 0.0048848987 0.006604676 0.0055958554 0.0015166007 0.006957105 0.0038606718 0.0066056387 0.0009202316 0.0044323257 0.0021935343 0.0042390996 0.004112957 0.0028245687 0.0006971549 0.0037582812 0.0031198645 0.01106942 0.0068556773 0.001489318 0.0013400653 0.001757973 0.0012026884 0.00067661254 0.0008245814 0.0035807826 0.0018321179 0.002197707 0.002125488 0.0051522697 0.002074132 0.0007289313 0.016569626 0.0035897698 0.0069006137 0.0014315427 0.0006486879 0.0023033074 0.011455872 0.0017005187 0.033358157 0.0013529041 0.006982141 0.0010097832 0.0018809059 0.0017034075 0.0008778631 0.002136401 0.00051099015 0.00090867653 0.0005556055 0.000720586 0.0003944767 0.00074016536 0.00071095675 0.00035595984 0.0005411617 0.0008293961 0.00043909202 0.00053089054 0.0005645928 0.0009426998 0.0018099707 0.00034761452 0.00073021516 0.00081270543 0.00045963435 0.00037874898 0.00034440478 0.0008322848 0.00039832838 0.0010190915 0.00037265048 0.0006807852 0.00035724373 0.0004137351 0.00074144924 0.0015169217 0.0005032868 0.0004663748 0.0004211175 0.0008470496 0.0010909897 0.0026079114 0.0010675585 0.0018173531 0.0008457657 0.0006008628 0.00050874334 0.00082361855 0.00070100656 0.00092215743 0.0011461971 0.009198143 0.0041944846 0.0028284204 0.0070363856 0.009265227 0.00090161513 0.0024464617 0.004004789 0.0025215694 0.0029510322 0.0015278348 0.00096645183 0.029965464 0.00079794065 0.0012530814 0.0008075698 0.0023007395 0.0015804745 0.0022558032 0.0013724836 0.0012482668 0.0005989369 0.00091477507 0.00073149905 0.0034016792 0.00966516 0.00072732643 0.0027366218 0.0011185934 0.0029038491 0.0015169217 0.00085892563 0.0018343647 0.002001913 0.0011513326 0.0021649676 0.0021762017 0.0020558366 0.0012479458 0.0010617811 0.01391421 0.016420694 0.001257575 0.003958569 0.003249538 0.0018276243 0.0017329371 0.0014225554 0.002429129 0.0013179181 0.008936229 0.008011824 0.0015368221 0.0009696616 0.0026698592 0.0019701365 0.0032010707 0.0017114318 0.0010466953 0.0013939888 0.0021762017 0.0017278015 0.002746251 0.03920341 0.008585625 0.0 0.0 0.0 0.0 0.0 4.0462637e-05 0.0 3.9659804e-05 0.0 0.0 1.6056602e-07 0.0 0.0 0.012668338 0.00069798046 0.00069492974 2.8901882e-06 3.5324524e-06 4.8169807e-07 4.6564146e-06 1.7662262e-06 6.5832064e-06 2.4084902e-06 4.3352825e-06 0.0 3.2113203e-07 3.2113203e-07 0.0 3.2113203e-07 0.00031631504 0.0006053339 1.2845281e-06 0.0 0.0 1.6056602e-07 0.0 0.0 5.154169e-05 0.0 4.8169807e-07 0.0 0.0 4.8169807e-07 0.0 0.0 0.00027424676 6.4226407e-07 0.0017652628 6.133622e-05 4.1747164e-05 4.1426032e-05 0.0005688854 1.7822827e-05 2.0391884e-05 1.4611507e-05 2.7938486e-05 3.3718864e-06 2.0713016e-05 2.8420185e-05 3.5324524e-06 2.5529996e-05 0.00026910863 0.0010359719 0.0023344692 0.00025433657 0.000107418666 8.17281e-05 0.0018327005 5.8285463e-05 0.00014177979 3.580622e-05 3.179207e-05 6.7437727e-06 2.665396e-05 0.00013375148 1.1079055e-05 2.7938486e-05 0.0013461855 0.00014611507 0.0036560881 0.0006239595 0.00012219074 8.381546e-05 0.0031206005 0.00017598036 0.00018031563 4.2871125e-05 5.2826217e-05 1.974962e-05 1.5574904e-05 0.0003188841 1.8304525e-05 2.1997545e-05 0.00046804993 0.0006151284 0.0048331977 0.00018738054 0.00014964753 9.585791e-05 0.0007768184 0.00039916713 0.0020973133 0.00089740346 0.0005738629 1.412981e-05 4.752754e-05 8.8471876e-05 4.271056e-05 4.7045844e-05 0.00069187896 0.0018823154 0.011928288 0.0003694624 0.0010597357 0.00025112525 0.0006331118 0.0014871624 0.0077498793 0.0040332577 0.00023844054 0.00026766353 0.00024325751 0.00021804865 0.00013102186 0.0002149979 0.0013853635 0.0023442637 0.0056146723 0.00017838884 0.0015205601 0.00027488903 0.0008670565 0.0008196895 0.0054780305 0.002900625 0.00012122734 0.00017967337 0.00011400187 0.00011689206 7.5947726e-05 0.0001449911 0.00060501276 0.0017052111 0.007414457 0.0002716777 0.001931288 0.00055298937 0.0013818311 0.0010743472 0.005294343 0.0028601624 0.00021564016 0.00043738182 0.0003506762 0.00012283301 0.00037154974 0.0002777792 0.000516862 0.001917961 0.008067318 0.00031856296 0.0020757974 0.0005616599 0.0015770794 0.0008381546 0.0034068897 0.0017728093 0.00031470938 0.0007872552 0.00024887733 0.0003057177 0.00025257035 0.00060581556 0.0007915904 0.0037246498 0.007968249 0.00057803764 0.001580933 0.00080234837 0.0016159364 0.0007946412 0.003127023 0.001140661 0.00092582364 0.00086159725 0.0003273941 0.0005830152 0.000988605 0.0007846861 0.0020786875 0.0041225324 0.017088559 0.002843303 0.00329064 0.0019792973 0.0030825464 0.0041432455 0.0049012774 0.0024426908 0.005935644 0.001050744 0.00088600325 0.0014084851 0.0051397183 0.0022225548 0.0059950533 0.008290665 0.09640416 0.02477357 0.028340222 0.011524786 0.025495635 0.03417246 0.015728405 0.014219405 0.050288472 0.003958434 0.0035571796 0.0064191082 0.045140084 0.017724723 0.015638808 0.030159436 0.0585109 0.016280591 0.018696949 0.01065773 0.017360719 0.023755742 0.012344636 0.013305463 0.037316825 0.0036337695 0.0035873658 0.0047545205 0.027290443 0.01046505 0.013021261 0.0223426 0.0019044735 0.001388896 0.0014208487 0.001966773 0.0014102513 0.0014542463 0.0015693723 0.0016597708 0.0010957025 0.0013050806 0.0012201412 0.0013938736 0.0012395696 0.0013832762 0.001438832 0.0014964753 13412.0 16.021696 214883.0 0.046536952 0.001693945 0.0010051982 0.0014240308 0.016129708 0.015566611 0.00046071582 0.0010331203 0.00415575 0.0022942717 0.0012658051 0.0012471903 0.0030435168 0.0032762014 0.0052819443 0.0011727312 0.0033553143 0.0017637504 0.0018289023 0.004537353 0.001894054 0.0018195949 0.001098272 0.0006934006 0.0023966532 0.0026432988 0.00394168 0.0045606215 0.0024524974 0.0018056338 0.00094470015 0.0018894003 0.004016139 0.00690143 0.002536264 0.004863112 0.008897865 0.006403485 0.0051609483 0.09313906 0.002903906 0.005677508 0.0015357195 0.0010563888 0.007841476 0.0034437345 0.003620575 0.0035042325 0.009484231 0.005007376 0.00809743 0.010940838 0.007995049 0.0048072673 0.008092776 0.006505866 0.0023315013 0.0029457891 0.00107035 0.002931828 0.0051423335 0.0030667852 0.0036578046 0.035935834 0.0026805284 0.038137034 0.00827427 0.022184165 0.025115993 0.06877231 0.013621366 0.013425911 0.014384572 0.037369173 0.003434427 0.0050446056 0.026121192 0.013895934 0.035745032 0.04963166 0.019322142 0.001130848 0.04067795 0.032887664 0.0496177 0.019084804 0.007473835 0.005817119 0.006319718 0.0079159355 0.0013961085 0.001633447 0.0025316102 0.0010563888 0.0017172135 0.0008516262 5.5328703 30.0 2.0 0.0 10.0 3115520.0 5541888.0 1.0 0.0 276.0 0.0 1.0 0.0 0.0 0.0 1416687200.0 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 2341888.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -175104.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 -2341888.0 0.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5255766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.578134 0.0 0.0 0.0 0.0 0.0 0.0 0.54356444 0.0 -6.684993 0.0 3.9898658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2590372.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 -2341615.0 0.0 188168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 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 1.0 0.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 2748940.0 188168.0 5353472.0 0.0 0.0 5440.0 3150336.0 0.0 0.0 28.0 2348400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2723568.0 0.0 0.0 1156.0 2347008.0 64.0 2748812.0 0.0 0.0


Input: 0.5570961 0.002033808 0.00183542 0.0019255964 0.0024089413 0.0018075128 0.0017161975 0.0019768544 0.001938316 0.001618997 0.0016436768 0.0016377916 0.0017452438 0.0016712042 0.001631147 0.0018185239 0.0018270669 0.0016368424 0.001587103 0.0015882421 0.0017243609 0.0017142991 0.0015795092 0.00157856 0.0017213234 0.0016193766 0.0016239329 0.0016150102 0.0016341845 0.0016095047 0.0015912796 0.0016106438 0.001995839 0.0016315267 0.0016537386 0.0016281095 0.00220258 0.0016235532 0.0016326657 0.0016374119 0.0017017693 0.0016108336 0.0016148203 0.0018238395 0.0017110717 0.0016212751 0.001680127 0.0017769479 0.0018912344 0.0018999673 0.0018454818 0.0019322409 0.0018255481 0.0018211817 0.0017968816 0.0017602415 0.0018614288 0.0018447224 0.0016224141 0.0017093631 0.0016590542 0.0016791777 0.001601721 0.001653169 0.0018593406 0.002049565 0.0018599101 0.0020085585 0.0022952242 0.0021716354 0.0019521747 0.0018821219 0.0026103668 0.001988435 0.001770683 0.0018200426 0.0020026735 0.0019928014 0.0018956009 0.0019005368 0.001960148 0.0018335216 0.0020002055 0.00208032 0.0020258345 0.0019191416 0.0019404043 0.0019261659 0.0018720601 0.0018654156 0.0018177645 0.001633615 0.0018671241 0.0016674073 0.0016362729 0.0017232217 0.0016562066 0.0019240776 0.0018120692 0.0019181925 0.0019062322 0.002020329 0.0019288238 0.0018585812 0.0018965501 0.0019924217 0.0019043337 0.0017672657 0.0019030048 0.0018530757 0.0019694506 0.0019937507 0.0018720601 0.001782833 0.0019629959 0.0019529341 0.0022020105 0.0019977374 0.001814727 0.0018321928 0.0018274466 0.0017928948 0.0017837823 0.0016100742 0.0016600034 0.0016355134 0.0016370323 0.0016134914 0.0016738621 0.0016774691 0.0016281095 0.0019555918 0.0019236979 0.0018236497 0.0016425377 0.0016284892 0.0017116412 0.0020850662 0.0016431073 0.0024493784 0.0016296282 0.0017708729 0.0016047586 0.0016022905 0.001697213 0.0016186172 0.001604189 0.0016002023 0.001604189 0.0016030499 0.0016357033 0.0015850147 0.0015607146 0.0015984937 0.001622604 0.0016148203 0.001620136 0.0016131117 0.0016093148 0.001622604 0.0016235532 0.0016307674 0.0016271602 0.0015975445 0.0016332353 0.0016138711 0.0016026703 0.0016193766 0.0016290587 0.0015893811 0.001620136 0.0016032398 0.001599253 0.0016011515 0.0015971648 0.0015578669 0.0016296282 0.0016051383 0.0016019109 0.0016087453 0.0016051383 0.0016102641 0.0016315267 0.0016058977 0.0016894294 0.0016525994 0.0016357033 0.0016172883 0.0016239329 0.001614061 0.001631147 0.0016328556 0.0018481397 0.0017103123 0.0016628511 0.0017460032 0.0016795575 0.0015994429 0.0019003471 0.0017864401 0.0016824051 0.0016358931 0.0016389306 0.0016106438 0.0017044272 0.0016019109 0.0016072266 0.0016114032 0.0016522198 0.0015962155 0.001648233 0.0016431073 0.0016007718 0.0016047586 0.0016448158 0.0016095047 0.0016550674 0.0016030499 0.0015971648 0.001622604 0.0016273501 0.0015648912 0.0016045687 0.0016279196 0.0016550674 0.0016079859 0.0015941273 0.0015855843 0.0016100742 0.0015829264 0.0015861538 0.0016030499 0.0018614288 0.001642158 0.0016212751 0.0017175265 0.0016964537 0.0015694475 0.001606657 0.0016178578 0.0017160077 0.0016203258 0.0016252619 0.0016527893 0.0016195665 0.0016123523 0.0016413986 0.0016455753 0.0017251202 0.0016370323 0.0016267806 0.001622604 0.001683734 0.001625072 0.0016656988 0.0023669857 0.50152487 2.8482282e-07 7.0256297e-06 1.2532204e-05 8.1649205e-06 2.031736e-05 4.984399e-05 2.924181e-05 0.0 9.494094e-08 9.494094e-08 0.0 1.8988187e-07 0.0 0.0 9.494094e-08 0.018576618 1.9842657e-05 0.00010415021 5.459104e-05 9.570047e-05 7.6142634e-05 0.0003094125 0.00013804412 1.015868e-05 6.171161e-06 5.4116335e-06 7.3104525e-06 8.1649205e-06 7.4053933e-06 7.880098e-06 1.6899487e-05 0.013088748 1.3196791e-05 0.00018665388 7.889592e-05 0.00014611411 7.2250055e-05 0.00029488656 0.00013832895 1.1013149e-05 1.7089369e-05 1.9083129e-05 2.8102519e-05 2.2975708e-05 1.7564074e-05 2.2501003e-05 3.66472e-05 0.009949811 9.1238246e-05 0.00011041631 8.630131e-05 0.00032270426 9.7884105e-05 0.00013851884 7.9275684e-05 5.354669e-05 4.6046356e-05 6.171161e-05 5.8293735e-05 4.6995763e-05 4.4052595e-05 4.5002005e-05 4.566659e-05 0.0022831396 2.734299e-05 3.1045685e-05 1.6614664e-05 0.00011022643 7.272476e-05 6.86423e-05 4.148919e-05 1.7089369e-05 3.9875194e-06 5.6015156e-06 4.747047e-06 8.354803e-06 1.5950078e-05 6.8357476e-06 8.354803e-06 0.002481756 1.613996e-05 3.142545e-05 2.743793e-05 0.0002532075 0.00020298373 0.00010519456 5.7913974e-05 2.6488522e-05 1.83236e-05 2.1836417e-05 8.924449e-06 1.3386672e-05 8.1649205e-06 1.2342322e-05 1.9937597e-05 0.0030963088 4.3767774e-05 5.0793402e-05 5.743927e-05 0.00052331446 0.00046739425 0.00013918342 9.683976e-05 6.693336e-05 1.5570315e-05 1.6804546e-05 7.975039e-06 2.1646534e-05 9.11433e-06 1.9557834e-05 3.3893913e-05 0.0007585781 9.399153e-06 3.3609092e-05 2.7627813e-05 6.0572318e-05 4.6900823e-05 8.753555e-05 5.5350567e-05 2.1551594e-05 5.791397e-06 8.06998e-06 1.2627145e-05 8.734566e-06 5.791397e-06 4.9369287e-06 1.9557834e-05 0.00019871138 2.4684643e-06 1.2532204e-05 5.5065743e-06 1.7279252e-05 1.1867617e-05 8.772543e-05 4.338801e-05 3.4178738e-06 5.6964564e-07 8.5446845e-07 1.0443504e-06 5.6964564e-07 8.5446845e-07 6.645866e-07 1.4241141e-06 0.0005531259 3.2849566e-05 0.00019871138 0.00092282594 0.0014240191 0.0010478632 0.0014409187 0.0010355208 4.139425e-05 1.37664365e-05 9.399153e-06 1.7279252e-05 2.022242e-05 1.0348563e-05 1.3576554e-05 2.3545354e-05 0.0014198418 6.569913e-05 0.0003599211 0.0009306111 0.0014926614 0.001102644 0.0014443365 0.0010552686 0.00023440918 4.2153777e-05 5.848362e-05 5.24074e-05 0.00015418409 4.3198128e-05 4.053978e-05 5.895832e-05 0.000668764 4.4147535e-05 0.00015836148 0.00013633519 0.0002546316 0.00016272877 0.0001586463 0.0001300691 0.00016538711 1.7564074e-05 1.16777355e-05 1.4620905e-05 0.00012646132 1.9652774e-05 2.6963227e-05 4.2818363e-05 0.0007729142 5.648986e-05 7.395899e-05 9.636505e-05 0.00020507243 0.0001409873 6.28509e-05 8.4877196e-05 0.00025197325 2.6963227e-05 1.5665255e-05 3.436862e-05 0.00011962558 3.4178738e-05 6.2376195e-05 0.00010016269 0.0027034432 0.00039419477 0.00046445106 0.00043463963 0.0012898676 0.00062812923 0.00027305013 0.0004293229 0.00146285 0.00014450011 0.00016567194 0.00026061287 0.0007787056 0.00024266903 0.00041546155 0.0008010167 0.0010854597 0.00024893513 0.00028206952 0.00020621171 0.0005761016 0.00033476175 0.00016329842 0.00025482147 0.0007529766 9.0478716e-05 8.335814e-05 8.8390014e-05 0.0004169806 0.00013272744 0.00024912503 0.00047859727 0.025282677 0.025196945 0.025444077 0.025313912 0.025284385 0.02528676 0.025482528 0.025311824 0.02533632 0.025365656 0.025266632 0.025403252 0.025283722 0.025315242 0.025234543 0.025402492 10718.0 11.831685 126812.0 0.005874838 0.004770842 0.0047314134 0.0045736996 0.005456897 0.0051020407 0.0049916413 0.004723528 0.004723528 0.0046052425 0.0049837553 0.012246476 0.0050074128 0.0044002146 0.0056934673 0.012065104 0.012459389 0.0123411035 0.012672302 0.012735388 0.012191275 0.012088762 0.0123411035 0.0123568745 0.013271615 0.013184872 0.0048812414 0.0048575844 0.004431757 0.0042977007 0.004384443 0.004873356 0.004818156 0.015345551 0.012546131 0.0138709275 0.013232186 0.013815727 0.013358357 0.012995616 0.013500299 0.012971958 0.012325332 0.012900988 0.01402864 0.01247516 0.013074473 0.013129672 0.013003501 0.01293253 0.014099612 0.014004984 0.013697442 0.013342585 0.013374128 0.013192758 0.013137558 0.012554017 0.012971958 0.004723528 0.0050152983 0.0051099267 0.0049916413 0.008082831 0.004510614 0.0139497835 0.011986247 0.013665899 0.014486011 0.015613664 0.01276693 0.0132006435 0.012979845 0.013760528 0.013429329 0.011757562 0.013910355 0.012845787 0.01395767 0.014075955 0.012948302 0.012214933 0.014486011 0.014052298 0.014935495 0.012759045 0.012680188 0.012459389 0.012380532 0.012916759 0.012080875 0.0046840995 0.0047629564 0.004510614 0.0046288995 0.004660442 6.467229 5.0 1.0 0.0 65.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.72655296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 4.5437093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 8192.0 0.0 0.0 0.0 0.0