Input: 0.4508893 0.0056959665 0.0034158055 0.002473132 0.0035577612 0.0016657597 0.0033596149 0.0019053097 0.0035895533 0.0011666972 0.002382931 0.00081772316 0.0018276778 0.0014683527 0.0016443186 0.0014232523 0.002393282 0.0022860758 0.001105331 0.0011356445 0.0011193787 0.0018986556 0.0008243773 0.00071938935 0.001052837 0.00040812223 0.000411819 0.00045396204 0.0007297403 0.000771144 0.00048427546 0.00056782225 0.0103812395 0.00047022777 0.00057521573 0.00037854814 0.0014417361 0.00075044215 0.00038742038 0.00031274583 0.0013862847 0.0004036861 0.00081772316 0.006669693 0.00087908935 0.00081180834 0.0011711334 0.0005234611 0.0040412974 0.008153573 0.0021847847 0.0017115995 0.0008968338 0.00079480326 0.0006809431 0.0017936676 0.0017862741 0.0011134639 0.0006713315 0.0009936889 0.00050423795 0.0007659685 0.0010617092 0.00039333518 0.0035414954 0.001739695 0.000678725 0.0016021754 0.0014129014 0.0028975199 0.0012288028 0.0006180981 0.0009123602 0.0012058829 0.00024324676 0.00040738287 0.0011866597 0.0017700084 0.00096263614 0.0014254703 0.003276068 0.0007023843 0.00082289864 0.0022542838 0.00103805 0.004047951 0.013835492 0.0018735176 0.0005707796 0.0007171713 0.00033344768 0.00079184584 0.009494756 0.0019407986 0.0008058935 0.0012946051 0.00041699444 0.0036043404 0.0064294036 0.0030017686 0.002185524 0.0075266017 0.0021914388 0.0018868259 0.003006944 0.0043717874 0.0013286152 0.00041995186 0.0028746 0.001674632 0.003271632 0.0055229585 0.0023873672 0.00026912408 0.0055673197 0.0038542412 0.006742889 0.0036265207 0.0007844523 0.00089387636 0.0008199412 0.0011186394 0.0066260714 0.0015881278 0.00046505232 0.0007171713 0.00032753288 0.000426606 0.06585703 0.06452915 0.0009212324 0.0019659365 0.0006802037 0.00165393 0.0034054546 0.010580125 0.0011127245 0.0017840561 0.00029056528 0.004781388 0.0003822449 0.002696416 0.0004317815 0.0003733727 0.00037780878 0.00026025187 0.00017300833 0.00025433704 0.00030387362 0.00019371019 0.00023659259 0.00020849722 0.0002809537 0.00059296016 0.0003208787 0.00012864723 0.00025285833 0.000199625 0.001092762 0.00038815974 0.00034010186 0.00037780878 0.00046505232 0.00034823472 0.008826382 0.012636263 0.0009485884 0.0002624699 0.00030461297 0.0002499009 0.0015363732 0.011921309 0.012838845 0.001065406 0.0005249398 0.0002595125 0.00039037777 0.00016709352 0.0031444635 0.0013655829 0.00024620417 0.00022476296 0.0002195875 0.0003349264 0.00046579167 0.00024028936 0.00020701851 0.00032679352 0.00031200648 0.0002240236 0.0003009162 0.0003393625 0.0020916264 0.0005936995 0.0007371338 0.0006905546 0.000544163 0.0002025824 0.00054564164 0.00072604354 0.00061957684 0.0007526602 0.0002580338 0.00046283426 0.00090053055 0.00019149213 0.00034749537 0.0005803912 0.0025855135 0.0014121621 0.00028391113 0.00024620417 0.00043695694 0.00021515139 0.003255366 0.011636659 0.00044508983 0.00022919907 0.00018040185 0.00029574076 0.00030387362 0.00016635416 0.00031274583 0.00026173054 0.00053011527 0.0005079347 0.00018335925 0.00018705602 0.00039185648 0.00016783287 0.00020332176 0.00022845973 0.0022306244 0.00046948844 0.00036450048 0.00084433984 0.0009411949 0.00018927407 0.00023733194 0.00019592824 0.00077484077 0.000426606 0.0004547014 0.00044656853 0.00045691946 0.00019666759 0.00069351203 0.00046283426 0.0009241898 0.0003733727 0.00019075278 0.0004022074 0.0011622611 0.000918275 0.001292387 0.012199306 0.30081308 3.701905e-07 1.1105714e-05 8.884572e-06 6.737467e-05 2.5913334e-05 1.0365334e-05 3.701905e-06 1.8509525e-06 5.552857e-06 1.1105715e-06 1.8509525e-06 1.8509525e-06 3.701905e-07 1.1105715e-06 3.1096002e-05 0.016527154 4.8865146e-05 4.8124763e-05 9.5509145e-05 0.00028541687 0.0001517781 0.00016399438 7.9961144e-05 1.36970475e-05 1.1105715e-06 1.480762e-06 3.701905e-07 3.3317144e-06 1.480762e-06 1.480762e-06 1.36970475e-05 0.027785016 4.8494952e-05 0.00017658086 0.00037500297 0.0009769327 0.00047680535 0.00016658571 0.00013585991 0.00010180238 1.2586476e-05 1.1846096e-05 1.1105714e-05 9.995143e-06 5.552857e-06 8.14419e-06 2.3692191e-05 0.012459871 0.00012216286 0.00014918676 0.00038351736 0.00043867572 0.00022988829 0.00030540716 0.00018842696 4.4793047e-05 1.07355245e-05 8.514381e-06 1.1846096e-05 1.4067238e-05 5.923048e-06 1.8509525e-05 1.3326858e-05 0.006366906 0.00010624467 0.00015436944 0.00025913335 0.00032502724 0.0009032648 0.00016029247 0.0015688672 0.020965368 0.00020064325 0.0035764102 9.2547625e-06 0.00015251848 1.51778095e-05 7.40381e-06 0.00010402353 0.004739549 2.8874858e-05 0.000546031 0.00036870973 0.0005608386 0.0027919766 0.00039351248 0.0018272602 0.03597474 0.0001984221 0.00823933 4.8494952e-05 0.00013697048 0.00017287895 1.0365334e-05 6.515352e-05 0.008406285 0.00018213372 0.000707434 0.001976447 0.0004357142 0.0026653714 0.0021056435 0.0018235584 0.02147327 0.00013437915 0.0059108315 0.00015029733 8.699476e-05 0.0007018812 9.254762e-05 0.00015251848 0.015168555 0.0003390945 0.0063147093 0.001422642 0.0020530764 0.0042220224 0.011559938 0.0068999804 0.02439185 0.00028245535 0.011843504 0.001307883 0.00020693649 0.0060726046 6.848524e-05 0.00034057524 0.016434977 0.0010121008 0.0048302454 0.003014091 0.0016047758 0.00637431 0.0064457566 0.0041750083 0.020238314 0.00023692191 0.010423823 0.0010961341 0.00021693163 0.004475603 0.00011216772 0.00043090174 0.020452283 0.0031710516 0.005206359 0.0043778727 0.0023214645 0.007735871 0.011044634 0.006054095 0.01682886 0.0006411699 0.006791885 0.0012027489 0.00038684905 0.004001389 0.00023247962 0.0005290022 0.008495872 0.000792948 0.0018868609 0.005711299 0.00081478927 0.0055184294 0.004942413 0.0016554919 0.003979548 0.00030207544 0.001364152 0.0007625924 0.0003028158 0.0019534952 0.00031540229 0.00062562193 0.0081801 0.0012090422 0.0010361632 0.0008680967 0.0009906298 0.00071779935 0.0017343424 0.0011735038 0.0010069181 0.00046569962 0.00059748744 0.00028763802 0.0004979062 0.0005145648 0.000474214 0.0014740985 0.008380372 0.0005719443 0.0011801673 0.0010113604 0.0010476391 0.0014837235 0.002073437 0.0015325886 0.0013904355 0.0007281647 0.0010839177 0.0006959581 0.00108836 0.0011786865 0.00080368354 0.0038011158 0.014213094 0.003218066 0.001504084 0.0021345182 0.003754472 0.0042786617 0.0023858778 0.0031299605 0.0064350213 0.0005589876 0.00086513517 0.0009343608 0.0027275635 0.0011031677 0.0023114693 0.0065486697 0.015689414 0.0044800453 0.0025772662 0.0039836196 0.0053277817 0.005436247 0.0042538587 0.004594434 0.008002408 0.0010002546 0.0016699292 0.0014615121 0.0038729329 0.0015981123 0.0029448653 0.0066478807 0.0026616696 0.0010476391 0.0010487497 0.0015803432 0.0008381113 0.0008403324 0.0019509039 0.0013841422 0.00081960176 0.00049272354 0.00058897305 0.0005367762 0.0005515838 0.00049716583 0.00048050724 0.0006019297 6627.0 19.376038 128405.0 0.089591525 0.0009968459 0.002694599 0.00063081656 0.0008021495 0.0010357852 0.0003582415 0.00046727151 0.0011837545 0.0014485418 0.0015264204 0.047295667 0.0027335384 0.0018846618 0.00629259 0.0029983255 0.010941941 0.07061251 0.014259569 0.002538842 0.0015030567 0.0013317239 0.0014485418 0.011689576 0.009812702 0.0024687513 0.0036057786 0.0013550874 0.0016821775 0.002484327 0.0065184375 0.00025699934 0.0009579066 0.00498423 0.0026011448 0.007157042 0.0049375026 0.0039017173 0.0032319613 0.0026322962 0.0012927846 0.0046182 0.0001323936 0.000770998 0.0046026246 0.0061991354 0.0022429032 0.005389198 0.0072037694 0.00070090726 0.003076204 0.008885947 0.0032631129 0.01676726 0.07699077 0.004524746 0.0010357852 0.00091117946 0.00088002806 0.003029477 0.0499669 0.0027958413 0.00031151436 0.0036680815 0.0002803629 0.023861999 0.041774075 0.01996807 0.012686422 0.053432498 0.008753553 0.012289241 0.011004244 0.030357074 0.0011448152 0.0016666017 0.018130135 0.01236712 0.02266267 0.03724154 0.01178303 0.00043612008 0.036563996 0.025178147 0.03913399 0.010100853 0.0032631129 0.004345625 0.0035279 0.00683774 0.005015381 0.001269421 0.00011681788 0.00050621084 6.230287e-05 0.00012460574 5.3296075 6.0 35.0 5.0 18.0 1352536.0 98304.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1194411100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.6161885 0.0 5.7975507 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 -59076.0 0.0 12096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 67172.0 12096.0 73728.0 0.0 0.0 9216.0 81920.0 12.0 90112.0 28.0 67056.0 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: 0.14259861 0.008640153 0.004190636 0.0034276838 0.006247993 0.0039529135 0.0020312201 0.001962766 0.007892136 0.0015122135 0.0017038849 0.001507235 0.0045789573 0.0013740606 0.0012321739 0.0038944164 0.0061708265 0.001507235 0.0011886122 0.0008973711 0.0024743048 0.001985169 0.00076917524 0.00082767237 0.0023112595 0.00075672904 0.00083265087 0.00071316736 0.0016204955 0.00060613 0.00059617305 0.00056754675 0.0038969056 0.0005887053 0.0006546702 0.0005451436 0.0041719666 0.0013230311 0.00046673254 0.0005638129 0.0011886122 0.00065591483 0.0005862161 0.00094715593 0.0011102011 0.002352332 0.00067956257 0.0005202512 0.0056816908 0.0026858903 0.0032683725 0.010129963 0.0033704313 0.0019055135 0.0027767476 0.0016180062 0.003879481 0.0019478305 0.0007181458 0.0014898103 0.0016752587 0.0009807607 0.00046797717 0.0005314528 0.011835093 0.00394918 0.0049274513 0.008874142 0.003889438 0.03273351 0.003285797 0.002723229 0.0034015467 0.0035670812 0.0022004885 0.0023672674 0.0027244734 0.0044109337 0.0011662091 0.0015395951 0.00910813 0.002155682 0.002067314 0.009808851 0.0032223216 0.013912364 0.0032397462 0.0021071418 0.001936629 0.006549191 0.0027568336 0.0032770848 0.0015744445 0.004662347 0.0023909153 0.0036243338 0.005796196 0.0044408045 0.0017910084 0.0032945094 0.0092873555 0.0061683375 0.004017634 0.0015532859 0.007885913 0.004271536 0.003735105 0.0013939745 0.0035210303 0.0017623821 0.004433337 0.0040624402 0.0032198322 0.0017175758 0.0049423864 0.0038782363 0.010237001 0.005575898 0.0017524251 0.0011326043 0.0028364894 0.0012707572 0.000533942 0.0005936838 0.0016628125 0.002532802 0.0010691287 0.00087994646 0.0052747 0.0011649644 0.0010952657 0.009116842 0.0031401766 0.0032459693 0.0010405025 0.0006223101 0.0026784225 0.015278957 0.0022465393 0.05203508 0.0012035477 0.011065918 0.00086252176 0.00068454107 0.0026721994 0.00044681862 0.00073183666 0.00064969173 0.0011301151 0.00094217743 0.0015209258 0.00057128066 0.0011811445 0.0005924392 0.00050282653 0.0007169012 0.0009620914 0.00047917874 0.00046797717 0.00042192623 0.0009023496 0.0033492728 0.0004692218 0.0025664067 0.0014325578 0.0008226939 0.00056754675 0.00045553097 0.0010529486 0.00046050944 0.0005127835 0.00049038033 0.0008525648 0.00045304172 0.0007467721 0.0006621379 0.0013329881 0.00068951957 0.0017412236 0.0005401651 0.0008836803 0.0006745841 0.0007169012 0.0015893799 0.0031700474 0.0025502266 0.0046797716 0.000828917 0.0010068977 0.0004829126 0.0008587879 0.00071939046 0.01207157 0.0011562521 0.0023013025 0.010413737 0.0043847966 0.0010653948 0.0035795276 0.0033891005 0.0018818657 0.0017760729 0.000989473 0.001310585 0.0016926833 0.00089861575 0.0009981854 0.0009484005 0.0028924972 0.0011574967 0.0029933115 0.0013616144 0.0018246131 0.0007729091 0.0016142724 0.00088119105 0.0033891005 0.000658404 0.0010927764 0.0017984761 0.0015059904 0.0007231243 0.00056630216 0.0008475863 0.002454391 0.0006621379 0.0008836803 0.0009969408 0.002448168 0.0024469232 0.00055385596 0.0006982319 0.02778241 0.006063789 0.0011002442 0.005936838 0.0065740836 0.0010492147 0.00068454107 0.0007592183 0.0072884955 0.0009832499 0.001828347 0.00092475273 0.009195253 0.0021843084 0.004122182 0.0026099684 0.010131208 0.003072967 0.003092881 0.0036355355 0.014982737 0.0040213675 0.0043287887 0.06936891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0102227265 0.0 0.0 0.0045572915 0.0030999312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012347342 0.0 0.0 0.00076578464 0.0005537596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.5949135 83386.0 0.005612453 0.00013191663 0.0005756362 9.5939366e-05 0.0034538172 0.00058762863 0.00013191663 0.00017988631 0.0004077423 0.00041973472 0.0007555225 0.00059962104 0.00051567407 0.014690716 0.0011632649 0.00047969684 0.025435925 0.016981268 0.026587198 0.01213633 0.021850191 0.014151056 0.022749621 0.01124889 0.025244046 0.014031133 0.0008514619 0.00052766653 0.0009833785 0.00055165135 0.00011992421 0.00014390906 0.0014031132 0.008790445 0.00762718 0.014954548 0.0073513538 0.016621495 0.0048689228 0.0031659992 0.005072794 0.01813254 0.0025304009 0.0041134004 0.0070275585 0.006871657 0.0045691123 0.009497997 0.013299595 0.0026982946 0.006164104 0.021094669 0.013467489 0.0064519225 0.006080157 0.0035977263 0.0028661885 0.0055165137 0.0015710071 0.003082052 0.0011992421 0.002878181 0.0029981053 0.022869546 0.00026383327 0.031480104 0.013467489 0.02759456 0.026299378 0.05415777 0.012064375 0.010241527 0.018912047 0.03556952 0.00762718 0.006859665 0.02438059 0.012124337 0.03843571 0.03487396 0.01936776 0.0027222796 0.03962296 0.02912959 0.042021442 0.011057012 0.010301489 0.0059962105 0.013875231 0.0068836496 0.0010793179 0.00029981052 0.00056364376 0.00026383327 0.00031180293 0.00032379536 5.7735224 0.0 2.0 14.0 4.0 803458.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.577346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13720703 0.012776692 0.0075276694 0.006225586 0.014038086 0.004801432 0.0022379558 0.0031738281 0.009195964 0.0020345051 0.004231771 0.0023600261 0.0043945312 0.001546224 0.0020345051 0.008463542 0.006958008 0.0016682943 0.0015055338 0.0013834635 0.004313151 0.0021158855 0.0012207031 0.0012613932 0.0021158855 0.0014648438 0.0010172526 0.000773112 0.0015869141 0.0008951823 0.0011393229 0.0007324219 0.008911133 0.000773112 0.0005289714 0.0009765625 0.0052490234 0.0059407554 0.0007324219 0.0015869141 0.0019938152 0.0014241537 0.00032552084 0.0012613932 0.0017903646 0.000773112 0.0009765625 0.00069173175 0.0061035156 0.0028076172 0.0009358724 0.0053710938 0.0017903646 0.0009358724 0.0009358724 0.0012207031 0.0030110676 0.002319336 0.0049235024 0.0032145183 0.001953125 0.00390625 0.00048828125 0.0009765625 0.0120442705 0.021525064 0.0022786458 0.002766927 0.003133138 0.0081380205 0.0013020834 0.0024414062 0.006958008 0.0008544922 0.0032552083 0.0010172526 0.001546224 0.0021158855 0.0009765625 0.0011393229 0.009155273 0.0024820964 0.0026855469 0.006266276 0.0020345051 0.005004883 0.0044759116 0.0032552083 0.0024414062 0.0037027996 0.004435221 0.008829753 0.0014648438 0.0032552083 0.0045166016 0.0032958984 0.00069173175 0.0018717448 0.00056966144 0.0009358724 0.0039876304 0.0025227864 0.0060628257 0.00081380206 0.005533854 0.0013020834 0.0048828125 0.00061035156 0.0015869141 0.00069173175 0.0015869141 0.0017496744 0.0016276041 0.00024414062 0.0026041667 0.0019938152 0.0160319 0.008056641 0.0017089844 0.0016276041 0.0015055338 0.0008951823 0.0017089844 0.00061035156 0.0017089844 0.0023600261 0.0018310547 0.0014648438 0.0045166016 0.0038655598 0.00032552084 0.017171225 0.003458659 0.012613933 0.00028483072 0.0010986328 0.001546224 0.022542318 0.0010986328 0.049438477 0.00048828125 0.011067708 0.00044759116 0.00044759116 0.0063476562 0.00040690103 0.0010172526 0.0026855469 0.0029703777 0.00081380206 0.0006510417 4.0690105e-05 0.00044759116 0.00020345052 8.138021e-05 0.00016276042 0.00044759116 0.00032552084 0.00024414062 0.00012207031 0.0005289714 0.0019938152 0.00040690103 0.0013427734 0.00016276042 0.00028483072 0.00036621094 0.00024414062 0.00061035156 0.00040690103 0.00032552084 0.00032552084 0.000773112 0.00040690103 0.00036621094 0.00040690103 0.002726237 0.00069173175 0.0008544922 0.000773112 0.0009765625 0.00056966144 0.000773112 0.0018717448 0.0034179688 0.0008951823 0.0009358724 0.00056966144 0.00061035156 0.00048828125 0.00036621094 0.0007324219 0.018107096 0.0033365886 0.0037841797 0.017415365 0.0024414062 0.0012207031 0.004435221 0.004435221 0.003092448 0.0028889973 0.0011800131 0.0010172526 0.0013020834 0.0005289714 0.00081380206 0.0011800131 0.0028076172 0.002319336 0.0035807292 0.0028483074 0.0008951823 0.0010172526 0.0019124349 0.0012613932 0.0059407554 0.0010986328 0.0010579427 0.0033772786 0.0017496744 0.0006510417 0.0014241537 0.004638672 0.0026855469 0.0014241537 0.0017903646 0.0012613932 0.0019938152 0.0009765625 0.0009358724 0.00056966144 0.02347819 0.0056152344 0.0011393229 0.00777181 0.0025227864 0.0011800131 0.0013427734 0.0007324219 0.0059407554 0.0009358724 0.0015869141 0.0014648438 0.0025634766 0.00061035156 0.0037027996 0.0028483074 0.0068766274 0.003092448 0.0028076172 0.0026041667 0.008382161 0.0021972656 0.004638672 0.06958008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021866508 0.0010402513 0.0026749321 0.00067934784 0.00278108 0.00067934784 0.0046068276 0.0022927988 0.002016814 0.0011888586 0.000106148094 0.00038213315 0.0012950068 0.0005731997 6.368886e-05 0.001231318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.038680367 0.004245924 0.0067722485 0.0074303667 0.018490998 0.014117697 0.003736413 0.009595788 0.031589676 0.0030995244 0.0021654211 0.0035665762 0.016410496 0.00836447 0.014245075 0.034880266 0.14811906 0.025454314 0.024605129 0.034200918 0.04897673 0.052691914 0.027428668 0.035389777 0.101095445 0.0126528535 0.0070057744 0.0137355635 0.05078125 0.02853261 0.042777684 0.08568274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59.0 10.525424 621.0 0.07568438 0.001610306 0.0 0.001610306 0.001610306 0.0 0.0 0.001610306 0.004830918 0.006441224 0.0 0.0 0.001610306 0.004830918 0.011272142 0.001610306 0.0080515295 0.003220612 0.006441224 0.003220612 0.003220612 0.003220612 0.001610306 0.001610306 0.003220612 0.003220612 0.011272142 0.0080515295 0.001610306 0.004830918 0.001610306 0.001610306 0.022544283 0.012882448 0.006441224 0.004830918 0.003220612 0.003220612 0.003220612 0.001610306 0.003220612 0.0 0.004830918 0.0 0.003220612 0.006441224 0.003220612 0.001610306 0.014492754 0.0 0.009661836 0.009661836 0.012882448 0.020933978 0.004830918 0.0080515295 0.0080515295 0.019323671 0.006441224 0.020933978 0.001610306 0.019323671 0.017713366 0.017713366 0.004830918 0.038647342 0.011272142 0.020933978 0.024154589 0.072463766 0.011272142 0.011272142 0.0273752 0.032206118 0.003220612 0.014492754 0.019323671 0.017713366 0.040257648 0.0273752 0.011272142 0.0 0.038647342 0.0273752 0.056360707 0.012882448 0.001610306 0.003220612 0.011272142 0.004830918 0.001610306 0.0 0.0 0.0 0.001610306 0.001610306 5.6257 0.0 0.0 0.0 1.0 24576.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1381652400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.659294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22196.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61740.0 -3536.0 245712.0 0.0 0.0 0.0 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 0.0 0.0 3536.0 102400.0 245712.0 114688.0 0.0 0.0 7280.0 17844296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.72466797 0.002766927 0.0025227864 0.00048177084 0.0016992188 0.00020182291 0.000875651 0.00029947917 0.0014192709 0.00014322916 0.0007682292 0.00013671875 0.001126302 0.0001953125 0.00093098957 0.00040364583 0.0010351562 0.00028645832 0.00041015624 0.000107421874 0.00040364583 0.00010091146 0.00034179687 0.00014648438 0.00033854166 0.0001953125 0.0005403646 0.0006315104 0.0014192709 0.001796875 0.002809245 0.0036002605 0.004833984 0.0050130207 0.004824219 0.003968099 0.0033854167 0.0028515626 0.0019759114 0.0012532552 0.0009049479 0.00044596355 0.0006673177 0.0004720052 0.000546875 0.00034179687 0.0006380208 0.00033854166 0.0007584635 0.00040690103 0.0006575521 0.00056966144 0.00070638023 0.00041666668 0.0005175781 0.00035807292 0.00056966144 0.0005371094 0.0006315104 0.0005533854 0.000530599 0.00040364583 0.0006217448 0.000530599 0.0019075521 0.0005826823 0.0005859375 0.0006282552 0.00064127607 0.0016601563 0.0006608073 0.0005175781 0.0007747396 0.0006640625 0.00059570314 0.00059570314 0.00071940105 0.0011035156 0.00069335935 0.0006347656 0.0016601563 0.00056966144 0.0007389323 0.00092773436 0.00081054686 0.00071940105 0.0010514323 0.00083333335 0.0008984375 0.00060221355 0.0006705729 0.0007324219 0.0007779948 0.0007421875 0.0007877604 0.001500651 0.0009765625 0.0013216146 0.001061198 0.0006673177 0.0009667969 0.0010481771 0.001061198 0.00057942705 0.00092447916 0.0007324219 0.0009049479 0.0006705729 0.0009375 0.000703125 0.00079752604 0.00083658856 0.0008561198 0.000530599 0.0012467448 0.00080403645 0.001061198 0.0008463542 0.0009667969 0.00057617185 0.00071940105 0.00060872396 0.0006640625 0.00047851563 0.0006347656 0.00069661456 0.00070963544 0.0006445313 0.0008789062 0.0006380208 0.000546875 0.0007747396 0.00048828125 0.0008658854 0.00049479166 0.00061523437 0.00059570314 0.0011686198 0.00046549478 0.0010579427 0.00057291664 0.0017903646 0.000530599 0.0005859375 0.0007356771 0.0010546875 0.00081705727 0.0007845052 0.0004264323 0.00059244793 0.0005045573 0.0005110677 0.000530599 0.0005859375 0.0005143229 0.00059244793 0.0006705729 0.0007324219 0.0013769531 0.0012467448 0.00068359374 0.00079427083 0.0007486979 0.0008854167 0.0009016927 0.00092447916 0.0008691406 0.0011653646 0.0012044271 0.0014257813 0.001640625 0.0019628906 0.0019661458 0.0038606771 0.0020833334 0.0020117187 0.0018619791 0.0017317708 0.0012565104 0.0012597656 0.0014876302 0.0013020834 0.0012369792 0.0014713542 0.0013020834 0.0016308593 0.0012207031 0.0010123698 0.0011881511 0.0009635417 0.0006184896 0.00109375 0.0026627604 0.0010123698 0.00064127607 0.00072916667 0.00069335935 0.0007454427 0.0004720052 0.0007324219 0.00083984376 0.001015625 0.0013313802 0.0011035156 0.00079427083 0.0007617187 0.0015234374 0.0013606771 0.0010449219 0.00079427083 0.00081705727 0.00069335935 0.0006217448 0.0006640625 0.0009928385 0.000546875 0.0008723958 0.0005501302 0.000703125 0.000563151 0.00059895834 0.0006217448 0.00041015624 0.0009635417 0.0007486979 0.00039713542 0.00025390624 0.00041341147 0.00032877605 0.00028645832 0.00017252604 0.00038085936 0.0013346354 0.00028645832 0.00016927083 0.00022135417 0.0002669271 0.00025716145 0.00016927083 0.0005436198 0.0003515625 0.0002799479 0.00012369792 0.00024739583 0.0002799479 0.00036783854 0.0003092448 0.0005403646 0.0005045573 0.00078125 0.00018554687 0.0008561198 0.0009016927 0.0010709636 0.0014583333 0.042864583 0.098918594 8.6551525e-05 3.2660953e-06 6.0422764e-05 5.8789716e-05 0.000137176 2.9394858e-05 7.022105e-05 2.122962e-05 0.00010451505 0.0002024979 0.00017147 0.00023515886 0.000102882004 0.0 0.00013227687 0.121557534 0.00023842495 9.634981e-05 0.00012901076 0.00023025971 0.00034130696 0.0002024979 0.00023515886 9.961591e-05 0.0007626333 0.00053400657 0.00072180707 0.0007642663 0.00051114394 2.122962e-05 0.0006450538 0.018633073 0.00016657086 0.00019923181 9.4716765e-05 5.7156667e-05 6.368886e-05 2.6128762e-05 3.4294e-05 4.5725334e-05 0.00013227687 0.00013390991 8.491848e-05 0.00011268029 6.6954955e-05 4.082619e-05 0.0001747361 0.11236511 0.0014648438 0.002163788 0.00067281566 0.00082795514 0.00091940584 0.00077243155 0.000720174 0.00067608175 0.0010369853 0.0010663801 0.0006891461 0.00051604304 0.00044745507 0.00027598505 0.0024757003 0.1621257 0.0023368911 0.0050199884 0.0012247857 0.001539964 0.0017555263 0.0016575434 0.0015513953 0.0013929897 0.0020413096 0.0020723375 0.0016069189 0.000996159 0.0009030753 0.00053237355 0.0038784882 0.05533745 0.0009896269 0.0021017324 0.00048501516 0.0005699336 0.0007675324 0.0006956783 0.0007087427 0.00079692726 0.00092103885 0.00093736936 0.00089491013 0.0008067255 0.00048828125 0.0003217104 0.0067559183 0.028931072 0.0004392898 0.00081652385 0.00032334344 0.00023515886 0.00022372753 0.00019269962 0.00022209449 0.0003184443 0.00040826193 0.00090960757 0.0013064381 0.004639488 0.002977046 0.0007675324 0.0074564954 0.015654394 0.0003837662 0.00077733066 0.0003151782 0.0003935645 0.00019106657 0.00053400657 0.0003805001 0.00025965457 0.00029558162 0.00020739705 0.00060096156 0.0008148908 0.0005176761 0.00030048078 0.0051294025 0.017454013 0.00053237355 0.0010582149 0.00037233488 0.0005617684 0.00061075983 0.0011235368 0.000788762 0.00048011602 0.0004768499 0.00094063545 0.0017767559 0.0005780989 0.00028578335 0.0002629207 0.0027974106 0.017187826 0.00065648515 0.0017832881 0.0004392898 0.00070057745 0.0005274744 0.0009488007 0.0007675324 0.00048011602 0.0005960624 0.0013488973 0.001473009 0.0007430367 0.0005438049 0.00036090353 0.00154323 0.038304765 0.0027990437 0.007541414 0.0016624425 0.0018796378 0.0021376594 0.0023058632 0.0021033655 0.0017832881 0.0016395799 0.0040221964 0.0031730116 0.0018290133 0.0014272836 0.00052910746 0.007129886 0.041289978 0.003055432 0.008640455 0.0022438075 0.0025508204 0.0028855952 0.002807209 0.00253449 0.0019286292 0.002126228 0.005785888 0.0045709005 0.002225844 0.001747361 0.00082795514 0.008424893 0.0051489994 0.00048501516 0.0012558136 0.00029884774 0.0008328543 0.0010451504 0.0013652279 0.0009030753 0.00054053875 0.00053563964 0.0035780075 0.0022846337 0.0004278585 0.00029231553 0.00026945287 0.00080345944 0.001644479 0.00011268029 0.00035763744 8.491848e-05 0.00041969324 0.0005585023 0.00032660953 0.00026781982 0.0004523542 0.00022209449 0.0005715667 0.00047195077 0.0003119121 0.00010778115 0.00018780048 0.00059116323 0.003529016 0.00041642715 0.00072507316 0.0003805001 0.002118063 0.001884537 0.0011953909 0.00076589937 0.002805576 0.00041316106 0.0008818457 0.00086551526 0.0014566785 0.0010761784 0.0015497622 0.0033477477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 354.0 9.683616 3428.0 0.04317386 0.027421236 0.0070011667 0.0043757292 0.0026254377 0.00087514584 0.0026254377 0.0017502917 0.00087514584 0.00087514584 0.0023337223 0.0005834306 0.0026254377 0.0011668612 0.00495916 0.0026254377 0.002042007 0.0055425903 0.008459743 0.004084014 0.0029171528 0.0014585764 0.0037922987 0.0 0.0029171528 0.002042007 0.0023337223 0.0014585764 0.0014585764 0.0005834306 0.002042007 0.00087514584 0.0023337223 0.0070011667 0.0035005833 0.012835473 0.006126021 0.006126021 0.00991832 0.0023337223 0.002042007 0.009626605 0.0026254377 0.0026254377 0.0087514585 0.008459743 0.0046674446 0.0064177364 0.006709452 0.0023337223 0.0052508754 0.016919486 0.009043174 0.00495916 0.021295216 0.00495916 0.0070011667 0.0046674446 0.0026254377 0.0046674446 0.007876312 0.0043757292 0.0058343057 0.08459743 0.008168028 0.06855309 0.043465577 0.012252042 0.024795799 0.039089847 0.011376896 0.007292882 0.0070011667 0.015752625 0.012835473 0.0087514585 0.022462077 0.020711785 0.01925321 0.024212368 0.010501751 0.00495916 0.05075846 0.01546091 0.035005834 0.008459743 0.04463244 0.006709452 0.007292882 0.007876312 0.0055425903 0.004084014 0.00495916 0.0037922987 0.0052508754 0.0023337223 5.706029 1.0 0.0 0.0 13.0 307200.0 307200.0 0.0 0.0 85.0 0.0 1.0 0.0 0.0 0.0 1542979300.0 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 3132.0 3123.0 6.0 0.0 4.0 0.0 4.0 0.0 20480.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 278528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.568698 0.0 2.5919032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19620.0 0.0 276760.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 21876.0 276760.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 400.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.03686049 0.005206674 0.003713364 0.004233534 0.0043971757 0.0033804805 0.003498701 0.004216734 0.005045521 0.0031987943 0.0027159576 0.003648654 0.0043884646 0.0035148785 0.0036766536 0.006102038 0.003801096 0.0027445792 0.0024023624 0.003498701 0.0029835089 0.0027644902 0.0032149719 0.003659854 0.0033443922 0.0031763949 0.0029144434 0.0037513191 0.0035385224 0.0035876771 0.0036467875 0.0043299766 0.0034862566 0.0026145368 0.002401118 0.0031496396 0.0032547936 0.0024197844 0.0031788836 0.0038017184 0.002890177 0.0026786248 0.0024166733 0.0033755028 0.003007153 0.0035963883 0.003145284 0.0037245639 0.0034346129 0.00305693 0.0034072355 0.004199312 0.0034688346 0.0028422666 0.004084825 0.0038695394 0.0037170975 0.0034806568 0.0040599364 0.0042067785 0.0042204675 0.00397096 0.00433371 0.0051992075 0.004044381 0.0035584331 0.0031135513 0.0048065917 0.003707142 0.0068306485 0.0034196798 0.0037444748 0.0029225321 0.0028758661 0.0025436047 0.0029069767 0.0031963056 0.0060273726 0.0036386987 0.004260289 0.004234778 0.0031757725 0.0026661805 0.003485012 0.0026450253 0.0047337925 0.0032435937 0.004184379 0.0027881342 0.0036760315 0.0027514235 0.0033717696 0.0032778154 0.0042826887 0.003997715 0.004521618 0.0028951548 0.0034576347 0.0029144434 0.0037195862 0.0038091848 0.004082336 0.0036411874 0.0035447446 0.003774341 0.003879495 0.0032635045 0.003595766 0.003833451 0.0040481146 0.0036461651 0.0044077532 0.0038160293 0.0032019054 0.0038098071 0.0041476684 0.0059041744 0.005382138 0.003557811 0.0035559444 0.0039485605 0.00383594 0.003560922 0.00347879 0.0043386878 0.0045222403 0.004468108 0.0041563795 0.0036523873 0.0032541712 0.0028360444 0.0066097635 0.0030961293 0.0046865046 0.00289951 0.0037513191 0.002870266 0.006087727 0.002697291 0.01231483 0.0031670616 0.005476714 0.0032274162 0.0037880295 0.0029523983 0.0029181766 0.002377474 0.0035658998 0.003121018 0.0033437698 0.0027134686 0.0031956832 0.0030139973 0.0030251972 0.0027794233 0.0036474096 0.003249816 0.00347879 0.0037612745 0.0041364687 0.0036841203 0.0034893677 0.0025616488 0.00346759 0.0029561315 0.003015864 0.002872755 0.0037432304 0.0026599583 0.0026636918 0.00227792 0.0031963056 0.0027483127 0.0029026212 0.003358703 0.0042739776 0.003004042 0.0032124831 0.0029318652 0.003104218 0.0035882995 0.0032467048 0.003903761 0.0034769233 0.0034769233 0.003233016 0.0033437698 0.003449546 0.0038371845 0.0036561205 0.0041358466 0.0043231323 0.004793525 0.0039865156 0.0033979025 0.0045545953 0.0036772757 0.0032056388 0.0039516715 0.004542151 0.0038085626 0.0036113213 0.003806696 0.0032056388 0.0068661147 0.003382347 0.003323237 0.0037320305 0.0040313145 0.0035410114 0.0036498983 0.003763141 0.0030401303 0.0031633284 0.0030737296 0.0039753155 0.003674787 0.0033574586 0.0038570953 0.003759408 0.0034277686 0.0035248338 0.0034059912 0.0040456257 0.0043797535 0.003777452 0.0033543475 0.0037146085 0.0038726504 0.00412278 0.0033835915 0.0035590555 0.007133666 0.0043312213 0.0035739886 0.0047188597 0.0049185897 0.0037077642 0.0033325702 0.0038496286 0.0052950284 0.003961627 0.0043641985 0.0038135403 0.0049465895 0.0038539842 0.0040674033 0.003933627 0.005505336 0.0043604653 0.004573884 0.003856473 0.005805865 0.0043648207 0.004952189 0.013306014 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005078997 1.6815808e-05 1.8684232e-05 1.8684232e-06 2.024125e-05 1.3078962e-05 1.8061424e-05 1.214475e-05 3.1140387e-06 1.8684232e-06 9.030712e-06 1.5570193e-06 1.2456154e-06 3.4254424e-06 1.8684232e-06 6.850885e-06 0.0007252596 0.0 7.068868e-05 0.0 6.228077e-07 9.342116e-07 0.00032728547 0.00015071947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004456189 6.695183e-05 0.00024351782 3.0517578e-05 0.0005187988 0.00012425015 0.00054651377 0.00029707927 3.2697404e-05 5.9166734e-05 3.332021e-05 6.2592175e-05 1.930704e-05 3.2074597e-05 2.6157924e-05 0.00046617156 0.00329403 5.8232523e-05 0.00023261868 4.8267597e-05 0.0004116759 0.00012705277 0.0006701411 0.00037835567 4.6399175e-05 4.266233e-05 4.7956193e-05 2.491231e-05 2.3978097e-05 3.6434252e-05 8.2210616e-05 0.00021486866 0.0045938296 0.00014293437 0.00047738213 0.00033226793 0.0010674924 0.00038614077 0.0021387218 0.001279247 0.00010650012 0.00018497389 0.000113351 8.532466e-05 7.598254e-05 7.349131e-05 0.00010681152 0.0003151407 0.0024140028 0.00013950893 0.00022140815 0.000108679946 0.0006418034 0.00016753527 0.000903694 0.00054464536 5.3872867e-05 8.968431e-05 0.0001292326 3.4254423e-05 7.22457e-05 5.3561464e-05 8.9061505e-05 7.660535e-05 0.001959353 0.00023137307 0.0002830661 0.0031548324 0.00058450503 0.0004116759 0.0006941192 0.00049824617 0.00032759685 0.00026313626 0.00023822395 0.00022794762 0.0005630182 0.00023760114 0.00030486437 0.00022452218 0.0055984184 0.000744878 0.0004527812 0.00081276405 0.0023557702 0.0014228042 0.0005026058 0.0005701805 0.004301733 0.0003624741 0.0003219916 0.0004129215 0.0020213225 0.0004350312 0.0014822824 0.0030744902 0.016473576 0.00250213 0.0017011993 0.0022944235 0.0069916393 0.005251203 0.0021446384 0.003274723 0.012209523 0.0007999965 0.00094853615 0.0016018614 0.0069667273 0.001519028 0.00498869 0.008775984 0.009561033 0.0020116689 0.0013857472 0.0023180903 0.0033868283 0.0035543637 0.0016968396 0.0030523806 0.0060677044 0.0005745401 0.0008806501 0.0011076635 0.0033933679 0.00153055 0.002973284 0.0056124316 0.048037782 0.047466356 0.044076413 0.0521807 0.04564651 0.045609143 0.04889352 0.055655032 0.04731221 0.04893151 0.04716959 0.05239401 0.050746374 0.05339424 0.055719182 0.062252123 6442.0 7.468178 48110.0 0.01812513 0.0057784244 0.0056121387 0.0062772813 0.010372064 0.005466639 0.0071502808 0.009291207 0.00773228 0.00565371 0.0049469965 0.006069424 0.007940137 0.007046352 0.00860528 0.007836209 0.010933278 0.009083351 0.010559135 0.009561421 0.010891707 0.008376637 0.013448347 0.011452921 0.011265849 0.010268136 0.015817918 0.011619206 0.011681563 0.009873208 0.011930992 0.013988776 0.0202037 0.008418208 0.00609021 0.009166493 0.0072957803 0.006069424 0.007836209 0.008418208 0.0071087093 0.006568281 0.0056329244 0.0061109955 0.008459779 0.006983995 0.0075036376 0.009644564 0.010787778 0.00594471 0.0066722096 0.009332779 0.007940137 0.007212638 0.008979422 0.009997921 0.0077946372 0.0066929953 0.0067345668 0.0074412804 0.007607566 0.0070255664 0.008397423 0.013261276 0.007940137 0.020162128 0.011556849 0.017272916 0.015610061 0.027478695 0.008646851 0.010143422 0.010829349 0.019559342 0.006568281 0.008147994 0.017750988 0.012720848 0.017356059 0.024298484 0.012991062 0.0070879236 0.02300977 0.021658698 0.029245479 0.013282062 0.009914778 0.0071502808 0.010766992 0.009831636 0.008729993 0.007482852 0.008958637 0.009083351 0.008459779 0.00831428 6.4514236 0.0 0.0 0.0 21.0 1607168.0 1622016.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1541166500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 220672.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -220672.0 0.0 1260544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5783405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.482576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.750736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4961476 0.0 7.980869 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -220601.0 0.0 1260264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 298124.0 1260264.0 348160.0 0.0 0.0 0.0 0.0 11248.0 1609728.0 28.0 285456.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 285488.0 0.0 0.0 304.0 225280.0 0.0 0.0 0.0 0.0


Input: 0.053924613 0.0058200285 0.004503008 0.0045357966 0.0050363736 0.0037958608 0.0037969537 0.0038384863 0.0056331316 0.0033849066 0.0034832733 0.0034690648 0.0048145023 0.003377256 0.0033903713 0.006073596 0.0049248915 0.0033521177 0.0032045678 0.0033105852 0.0038679964 0.0035444791 0.0034526703 0.0032340777 0.0037127954 0.003311678 0.0031422689 0.003134618 0.0034668788 0.0031761506 0.0031553844 0.0034275323 0.004086589 0.0031881733 0.0032078465 0.0033018414 0.0037630717 0.003194731 0.0032297058 0.0032428214 0.003437369 0.0030919926 0.0032100326 0.0037237252 0.003377256 0.0037903958 0.003222055 0.0031575703 0.003871275 0.0036209866 0.0034657859 0.005148949 0.0034799944 0.0034176954 0.003313864 0.0034231604 0.0035750822 0.0036297303 0.0033849066 0.004294252 0.003467972 0.0035368286 0.003313864 0.0037554211 0.0037707225 0.00364066 0.0037772804 0.0051970393 0.003378349 0.0056659207 0.0039040642 0.0033324445 0.0035160622 0.003255937 0.003165221 0.0031280604 0.0033215147 0.0051598786 0.003343374 0.0031816154 0.004795922 0.0035422933 0.003228613 0.003816627 0.0034067659 0.0042188372 0.004191513 0.003991501 0.0034395547 0.003970735 0.0032023818 0.0035565018 0.0032603089 0.0044177566 0.0040384987 0.0037783734 0.0032734245 0.0037226323 0.003253751 0.0034821804 0.0035444791 0.0039849435 0.004554377 0.0032045678 0.016250174 0.0035652455 0.0042483476 0.0031739648 0.0035597808 0.0033346303 0.003694215 0.003701866 0.0035849188 0.003078877 0.0040538 0.0040363125 0.0056593628 0.0060768747 0.0034493913 0.0033870926 0.0033379092 0.0032045678 0.003349932 0.003137897 0.0032624947 0.0036034991 0.00340458 0.0034482984 0.003701866 0.0036614262 0.0032406354 0.006546849 0.0039007852 0.0060495506 0.0031422689 0.0031477336 0.0035958486 0.0054265615 0.0033980221 0.010717596 0.003340095 0.005288848 0.0031051082 0.0032384496 0.003318236 0.003044995 0.0031575703 0.0032111255 0.0033357232 0.0033258866 0.0030908994 0.00310948 0.0031717787 0.003283261 0.0030395302 0.0030362513 0.0031051082 0.0029553722 0.0030657614 0.0030898065 0.0032122184 0.0033171428 0.00299144 0.0030930855 0.0031335251 0.0030100204 0.003018764 0.0029750455 0.003222055 0.0029750455 0.0031892662 0.0030592037 0.0030843418 0.002954279 0.0030832489 0.0030876207 0.0031794296 0.00305046 0.002901817 0.00305046 0.003166314 0.0031291533 0.0035368286 0.0032723313 0.0034133235 0.0031685 0.003226427 0.0030493669 0.0031619421 0.0030963644 0.0031324322 0.0032614018 0.005296499 0.004204629 0.0035707103 0.004349993 0.0040057097 0.0031564774 0.003784931 0.0040559857 0.0035127832 0.003982757 0.0033269795 0.0030351584 0.005413446 0.0032439143 0.0033586754 0.0032515652 0.0034144167 0.0033051204 0.0033302584 0.0033881855 0.0032777963 0.003044995 0.0031160377 0.0030810628 0.003551037 0.003231892 0.0030242288 0.0033051204 0.0032045678 0.0032122184 0.0031007363 0.0031772438 0.0036373811 0.0032603089 0.0030581106 0.0031488265 0.0032788892 0.0034745296 0.003051553 0.0032428214 0.0064954795 0.0035969415 0.0030985503 0.0041554454 0.004492078 0.0030340655 0.003023136 0.003134618 0.0038253707 0.0032657736 0.0030963644 0.0032144045 0.0035532229 0.0030963644 0.003641753 0.003436276 0.004321576 0.0034668788 0.003285447 0.003343374 0.004282229 0.0035007608 0.0040472425 0.01464024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008977368 6.568806e-06 1.0400609e-05 6.568806e-06 4.105504e-05 1.6969416e-05 4.7076443e-05 3.3391432e-05 1.6969416e-05 1.0948011e-06 2.1896021e-06 5.4740053e-07 1.1495411e-05 2.7370024e-06 1.5874615e-05 1.0400609e-05 0.0022766388 0.000110027504 0.00013794492 2.5727824e-05 0.00011385931 5.2003048e-05 0.00037004275 0.00018173696 3.5581033e-05 1.6422015e-06 7.1162067e-06 2.7370024e-06 1.4779814e-05 8.211007e-06 1.8064216e-05 7.1162067e-06 0.0020040332 2.2990822e-05 0.000114954106 2.4633022e-05 0.00019980119 6.514066e-05 0.00045379502 0.00020418038 3.174923e-05 1.6422015e-05 1.094801e-05 8.211007e-06 7.663607e-06 1.9706418e-05 3.8318035e-06 0.00017516816 0.0046113017 6.349846e-05 0.00036840054 0.00014232413 0.0003421253 0.00012207031 0.0008725564 0.00046966964 0.0001083853 0.00013356573 3.284403e-05 2.7370024e-05 8.648928e-05 5.0360846e-05 2.3538221e-05 0.00039303355 0.0037228707 0.000115501505 0.0003038073 0.00015436694 0.0006733026 0.00028410085 0.0006864402 0.0003339143 5.9119255e-05 5.7477053e-05 6.1308856e-05 6.404586e-05 5.528745e-05 5.419265e-05 4.1602438e-05 5.9119255e-05 0.0025892043 0.00018940057 0.0003224189 0.00013082872 0.0004324464 0.00029778588 0.00071818946 0.00051510386 7.2804265e-05 4.9266044e-05 2.4633022e-05 3.7770635e-05 5.9666654e-05 5.364525e-05 3.6128433e-05 7.608867e-05 0.0043961736 0.00035471554 0.00041711918 0.0031710912 0.0004953974 0.00038755956 0.0011697948 0.00080686837 0.00046693263 0.000420951 0.00022005501 0.00026220485 0.00047788065 0.00030325988 0.00041821398 0.00080577354 0.0046638525 0.0004138348 0.00048280726 0.0007893515 0.00093824446 0.00047842803 0.0009754677 0.00093769707 0.0016301587 0.00038099076 0.00020855959 0.00049047085 0.0011243606 0.00020308558 0.0006442904 0.002454544 0.031554904 0.0054334975 0.0044235433 0.005309785 0.007548653 0.0076953564 0.015645254 0.0066996347 0.01382241 0.0028076172 0.0021496417 0.0029592472 0.008145867 0.003226926 0.0057794545 0.010206282 0.015293275 0.0032471798 0.0019854216 0.002878232 0.004605828 0.0056026443 0.003926504 0.004507843 0.009502873 0.0008709142 0.0010269233 0.0012223453 0.0055358615 0.002274449 0.0046227975 0.0080090165 0.04621593 0.04550869 0.045715604 0.045796074 0.045412347 0.04592307 0.04575885 0.045455042 0.045844793 0.04566415 0.04571013 0.04578403 0.04610864 0.04561324 0.04564773 0.045904458 3809.0 6.8844843 26223.0 0.017579988 0.0072836825 0.009190406 0.008046372 0.009876826 0.0072836825 0.008122641 0.009686153 0.008923464 0.0068260687 0.008008237 0.0073980857 0.008427716 0.0066735307 0.010296305 0.008237043 0.014033482 0.015635129 0.011974221 0.011440339 0.01205049 0.012355566 0.009533616 0.011592876 0.01136407 0.011325935 0.009419212 0.010448842 0.011173397 0.010296305 0.011135263 0.011554742 0.008923464 0.010067498 0.0076268925 0.011211532 0.008160775 0.009609885 0.009190406 0.008465851 0.008809061 0.009152271 0.0072455476 0.007207413 0.010486977 0.007931968 0.007588758 0.007588758 0.013575869 0.008160775 0.0078175645 0.010181901 0.010220036 0.00777943 0.010601381 0.010982725 0.009838691 0.0077031613 0.008313313 0.0075506233 0.008084506 0.008732792 0.008847196 0.010029363 0.009533616 0.018304542 0.009381077 0.014109751 0.014147885 0.024482325 0.009724288 0.009876826 0.010220036 0.014491095 0.010220036 0.0073599513 0.015787667 0.0103725735 0.015673263 0.01700797 0.011287801 0.0077412957 0.018838424 0.014834306 0.022537468 0.012012356 0.009342943 0.008656523 0.010067498 0.009953095 0.009037867 0.0067498 0.007931968 0.008046372 0.00709301 0.010296305 6.5224514 1.0 0.0 0.0 18.0 914944.0 942080.0 1.0 0.0 79.0 1.0 1.0 0.0 1.0 0.0 1540551400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 195584.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -671232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -195584.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.56666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.120927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.723733 0.0 4.579092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -5772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34218.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -681992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -195103.0 0.0 5744.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 233044.0 5744.0 925696.0 0.0 0.0 0.0 0.0 5772.0 933888.0 84.0 228000.0 0.0 0.0 0.0 0.0 24.0 228180.0 64.0 228088.0 0.0 0.0 328.0 200704.0 0.0 0.0 0.0 0.0