Input: 0.1945767 0.00789055 0.018063229 0.037532177 0.026607469 0.036658663 0.032455962 0.048294913 0.043264974 0.017924393 0.031836983 0.01261389 0.024426576 0.0016978567 0.00041361756 0.00061030284 0.0033494346 0.00026031875 0.00045121915 0.00034419924 0.0005119602 0.00064211956 0.0024672432 0.00059873314 0.00028924306 0.000248749 0.0002661036 0.00021403986 0.00053509965 0.0021664305 0.0002458566 0.00013015937 0.00088508375 0.000104127495 0.00035287652 0.00043386457 0.00083301996 0.0008503746 0.0021866774 0.00019090042 0.00034419924 0.00021982472 0.00034709167 0.00039337054 0.0003326295 0.00022271715 0.00054377696 0.002123044 0.0013363028 0.00037312353 0.0003326295 0.000584271 0.0003875857 0.00035287652 0.0003789084 0.0001995777 0.00053799205 0.00043964945 0.0020391636 0.00035576895 0.00023428687 0.00047146616 0.00018800798 0.0003239522 0.003210598 0.00085615943 0.00044832673 0.00043097214 0.003037052 0.0013160559 0.0024498887 0.0006363347 0.00033841436 0.00039047812 0.00021693228 0.0001706534 0.00017354584 0.00061898015 0.00035866137 0.00030949007 0.00082145026 0.00037601596 0.00030081277 0.0011656495 0.00036733868 0.0005524542 0.0009747491 0.0007983108 0.000994996 0.0012524225 0.0010354901 0.0009834263 0.0014404304 0.0013449802 0.002068088 0.0018887571 0.0016110837 0.0029936656 0.002270558 0.00260608 0.0022763428 0.00270153 0.0015879443 0.00177306 0.001935036 0.0031411794 0.0016400081 0.0014433229 0.0019610678 0.0017354583 0.0023660082 0.002149076 0.0020362712 0.0014548926 0.0026639285 0.0028808608 0.0032510918 0.0021953548 0.0015966216 0.0016689324 0.0014520001 0.0014867092 0.0012177132 0.0018656177 0.0018019842 0.0013189483 0.0021403986 0.0012668846 0.001498279 0.0011425101 0.0020275938 0.0016081914 0.001431753 0.0011974663 0.0011974663 0.0011540798 0.0011569723 0.001686287 0.0010933387 0.0027246696 0.0010557371 0.0018019842 0.000994996 0.001081769 0.0013478727 0.0010644144 0.0011425101 0.0012177132 0.0012119284 0.0011396176 0.002504845 0.00124953 0.0012842391 0.0010759841 0.0010644144 0.0011164782 0.0012668846 0.0010499522 0.001081769 0.0010991236 0.0012321754 0.0015300957 0.0015879443 0.0012177132 0.0011743268 0.0011135858 0.0011772192 0.0011106933 0.0013796893 0.0012003586 0.0013681196 0.0013652272 0.0015214185 0.0015011714 0.0015705897 0.0014548926 0.0015792671 0.0015387731 0.0016371157 0.0012524225 0.0011598646 0.0011106933 0.0011714343 0.0011078009 0.0012726694 0.0010644144 0.0011569723 0.0010933387 0.0010470599 0.0010354901 0.0011106933 0.0010586296 0.002493275 0.0013420878 0.0013739045 0.0012582073 0.0011801117 0.0009458248 0.0013015937 0.0011772192 0.001122263 0.0011251555 0.0010730918 0.0009400399 0.0019205739 0.0010239204 0.0010094582 0.0009892113 0.001350765 0.0009747491 0.0009747491 0.00088797614 0.00089665345 0.0008243427 0.00090533076 0.0008590519 0.0008503746 0.0008069881 0.0007867411 0.0007867411 0.0008069881 0.00071732275 0.0008474821 0.0008156654 0.0013073786 0.0006912909 0.00080120325 0.0007491395 0.00085615943 0.00073467736 0.0007954184 0.00077227893 0.0016081914 0.0008792989 0.0007983108 0.0010470599 0.00097185664 0.0007491395 0.00088797614 0.0014462152 0.0012726694 0.0010152431 0.0008388049 0.00073756976 0.0008272351 0.0007086455 0.0006768287 0.00078095624 0.0007607092 0.0005408845 0.00047435862 0.00036444626 0.00056402397 0.0001995777 0.0003326295 0.1944639 0.05346244 6.3941596e-05 0.0 0.0 5.812872e-06 4.359654e-06 2.3251489e-05 1.0172526e-05 0.0 0.0 0.0 0.0 1.453218e-06 0.0 0.0 0.0 0.011252267 0.00031680154 2.906436e-06 1.453218e-06 0.0 0.0 1.453218e-06 0.0 4.359654e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00032552084 0.007949103 0.00050281343 7.411412e-05 5.812872e-05 0.00015258789 2.7611142e-05 1.0172526e-05 4.359654e-06 5.5222285e-05 7.26609e-06 1.453218e-05 7.26609e-06 1.3078962e-05 5.812872e-06 2.906436e-05 1.7438617e-05 0.017254058 0.0018644787 0.00077747164 0.00012788319 9.1552734e-05 6.975447e-05 9.4459174e-05 7.702055e-05 8.428664e-05 7.411412e-05 5.3769065e-05 5.3769065e-05 5.086263e-05 4.7956193e-05 5.231585e-05 5.9581937e-05 0.025472006 0.0007527669 0.0010041737 0.000806536 0.00081089564 0.0015040806 0.00079636346 0.001159668 0.00011189779 3.3424014e-05 2.0345053e-05 2.3251489e-05 3.1970798e-05 2.0345053e-05 2.906436e-05 0.0001613072 0.0091814315 0.0002179827 0.00022524879 0.00013224284 0.00011480422 0.00021943593 0.0004286993 0.000566755 0.00043305897 5.231585e-05 3.9236886e-05 3.1970798e-05 4.7956193e-05 4.6502977e-05 4.7956193e-05 0.00011916387 0.045815606 0.0008472261 0.00038364955 0.000226702 0.0002659389 0.004817418 0.011913481 0.0007513137 0.00035894485 1.5985399e-05 5.9581937e-05 0.00012788319 0.00019473121 0.00011189779 0.00021071661 0.01723226 0.13267735 0.0016741072 0.0012425014 0.0006786528 0.0012701126 0.0039832704 0.010397775 0.013958159 0.0048610144 0.00032116118 0.0027916317 0.003852481 0.003925142 0.0040283203 0.00541905 0.06784784 0.19215176 0.0029355003 0.0020839146 0.0013253348 0.003525507 0.000646682 0.0020504906 0.0055076964 0.010224842 0.015383766 0.016470773 0.01356143 0.012051537 0.008239746 0.0064828056 0.10616775 0.010025751 0.0003226144 0.00017438616 0.00021362305 0.0002339681 0.00015549433 0.00013514927 0.0003880092 0.00089954195 0.0010550363 0.00054641 0.0004039946 0.00047810873 0.00033714657 0.00037202382 0.005092076 0.017938523 0.00065685454 0.0011044457 0.0013006302 0.0024414062 0.0012860979 0.003705706 0.0036097935 0.00081089564 0.0011175247 0.00078619097 0.00060744514 0.0012090774 0.0004970006 0.00052751816 0.0040675574 0.001546224 0.00011044457 0.00038219633 0.00031244187 0.00074840727 0.0002993629 0.00093877886 0.00077892485 0.0001366025 0.00056094216 1.5985399e-05 2.7611142e-05 1.8891835e-05 2.7611142e-05 2.4704706e-05 2.3251489e-05 0.002399263 0.00014386859 0.0003240676 0.00019763765 0.0004679362 0.00020345052 0.00025576638 0.00022379558 0.00031098866 0.0002572196 8.573986e-05 6.3941596e-05 0.0003153483 7.992699e-05 0.00015985398 0.00046357655 0.0032668342 0.0007178897 0.0009242467 0.0009300595 0.0024646576 0.0011393229 0.0010652088 0.0013616653 0.00218564 0.0004098075 0.00011480422 0.00013078962 0.00071207684 0.00015840077 0.0006786528 0.0015970865 0.005218506 0.0014343262 0.0014154343 0.0019255138 0.0022423153 0.0018804641 0.0021318707 0.0018019903 0.0022408622 0.000579834 0.00051153277 0.00046938943 0.0012192499 0.00047520228 0.0010419573 0.0021972656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 576.0 17.14236 9874.0 0.014279927 0.0007089325 0.005468908 0.006279117 0.012254406 0.008304639 0.0016204172 0.0023293498 0.0017216933 0.0009114847 0.0044561476 0.0057727364 0.0060765645 0.005367632 0.012760786 0.0052663563 0.020862872 0.006785497 0.0060765645 0.005975289 0.0046586995 0.0023293498 0.0033421107 0.0009114847 0.0060765645 0.0022280738 0.002734454 0.0033421107 0.0031395585 0.0030382823 0.0030382823 0.008811018 0.023293499 0.017723314 0.0070893257 0.0066842213 0.08274256 0.008203362 0.0058740126 0.014178651 0.002430626 0.00982378 0.0037472148 0.0035446628 0.0018229694 0.0060765645 0.006785497 0.0068867733 0.009013571 0.0046586995 0.0035446628 0.009216123 0.005975289 0.0021267976 0.0070893257 0.001417865 0.0072918776 0.0031395585 0.0033421107 0.0008102086 0.010735264 0.0036459388 0.0005063804 0.013976099 0.0030382823 0.031598136 0.010735264 0.027040713 0.022787118 0.04263723 0.00516508 0.015900344 0.010127608 0.035345353 0.0005063804 0.002734454 0.021369252 0.0130646145 0.032003243 0.024913915 0.01985011 0.001215313 0.039092567 0.030078996 0.04182702 0.008912295 0.0046586995 0.014279927 0.0057727364 0.008811018 0.0022280738 0.00010127608 0.017622037 0.00010127608 0.033623658 0.002531902 5.8537393 0.0 13.0 0.0 3.0 345730.0 339968.0 1.0 0.0 105.0 0.0 1.0 1.0 0.0 0.0 1161596900.0 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 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1857524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.768358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.391288 0.0 5.106776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10766.0 0.0 298600.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -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 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 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 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 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29444.0 298600.0 40960.0 0.0 0.0 5744.0 339968.0 0.0 0.0 28.0 16864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27656.0 0.0 0.0 444.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.10958369 0.008229875 0.0047666114 0.0040314626 0.006360225 0.0033465882 0.0034623148 0.003488875 0.008332321 0.0029282647 0.0028495325 0.0029700021 0.0062283725 0.0028220238 0.0024701008 0.0069663674 0.0057977173 0.0025697015 0.0023268652 0.0023335053 0.004044743 0.0029216246 0.0024843295 0.00221019 0.0034253201 0.0024824324 0.002192167 0.002329711 0.0030392485 0.0021798355 0.0022367502 0.002311688 0.0043179337 0.002580136 0.0022974594 0.002526067 0.0039859307 0.0022538246 0.0022120872 0.0022595162 0.0027859777 0.0022424418 0.0022149328 0.0031739466 0.0025497815 0.0031872268 0.002280385 0.0021305094 0.0037952662 0.0028599668 0.0027527774 0.0050530825 0.0029624135 0.002753726 0.0026854284 0.00271104 0.0033304624 0.0032725988 0.0030411456 0.0042477385 0.003310542 0.0030857287 0.0026949141 0.003981188 0.0042524813 0.0030496828 0.003426269 0.0031549751 0.00305158 0.013988701 0.0062871845 0.0044071 0.0031796382 0.0022860763 0.0023676541 0.0021485323 0.002896013 0.010330979 0.0023695515 0.0040343083 0.0067965714 0.0040475884 0.0030838316 0.0031568722 0.0027641603 0.00748524 0.003951782 0.0034016056 0.002622822 0.0038730497 0.0021997557 0.0025621129 0.002413186 0.004282836 0.0029538763 0.0030382997 0.0026370508 0.0032944162 0.0023486826 0.002568753 0.0035619156 0.0039214273 0.0040200795 0.002480535 0.003590373 0.002893167 0.0043207793 0.0024814836 0.0034224745 0.0024350034 0.0029491333 0.0030496828 0.0030003567 0.0021997557 0.0037136883 0.0034623148 0.007100117 0.008170115 0.0026076448 0.0024454377 0.0027167315 0.0024919182 0.0022671048 0.0021181777 0.002555473 0.0034803378 0.0023572198 0.0026237706 0.0035875274 0.0026237706 0.0022092415 0.010067273 0.003590373 0.0068458975 0.0021959613 0.0020489316 0.0032744962 0.011509114 0.0029349048 0.026781242 0.0025298612 0.009408959 0.0020337543 0.0020328057 0.002591519 0.0020574688 0.0020593659 0.0022452874 0.0024767409 0.0029054987 0.0021248178 0.0020536743 0.0024701008 0.0021096405 0.0020622117 0.0021513782 0.0025478844 0.0022946135 0.002041343 0.0022993565 0.0026560223 0.0026996569 0.0020584173 0.0023382483 0.002395163 0.002158018 0.0019502792 0.0020574688 0.0025298612 0.0020356514 0.001973045 0.0021162806 0.0024274148 0.0021096405 0.002095412 0.001955022 0.0031511807 0.002115332 0.0020366 0.00204988 0.0025791875 0.0021722468 0.0030885746 0.0025611643 0.003285879 0.0023486826 0.0021390466 0.0020878233 0.0026996569 0.002496661 0.002406546 0.002329711 0.0063573793 0.0036207277 0.003446189 0.004294219 0.004408997 0.0023524768 0.0036596193 0.0048652636 0.0036349562 0.0030269169 0.0023467855 0.0026361023 0.010742662 0.002180784 0.0025336556 0.0024340549 0.003263113 0.0023524768 0.0026142849 0.002221573 0.002819178 0.0022671048 0.0025108897 0.0021722468 0.0035173325 0.0023809343 0.0021276637 0.0024397462 0.0029785393 0.0024615636 0.0021115378 0.0022187273 0.0036643622 0.0024245689 0.0022405447 0.002187424 0.003254576 0.0028115893 0.0020916176 0.0021656067 0.01238655 0.0037127398 0.0021485323 0.0047637657 0.006078497 0.0020754917 0.002139995 0.0022007043 0.005150786 0.0022965109 0.0023259167 0.0023126367 0.0039451416 0.0021191265 0.003267856 0.0028343552 0.004844395 0.002760366 0.0024549235 0.0023126367 0.0064996663 0.0034129887 0.0049658134 0.03147576 0.025291828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018671533 3.799854e-06 3.3248723e-06 6.6497446e-06 6.174763e-06 6.6497446e-06 6.6497446e-06 4.2748356e-06 3.799854e-06 4.7498174e-06 5.224799e-06 3.3248723e-06 8.0746895e-06 4.7498174e-06 4.2748356e-06 6.6497446e-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 0.0008411927 4.7498174e-06 6.174763e-06 5.699781e-06 3.6573594e-05 3.3248723e-06 2.8498905e-06 1.5674397e-05 1.899927e-06 1.4249453e-06 2.8498905e-06 1.899927e-06 4.2748356e-06 7.599708e-06 5.224799e-06 3.1348794e-05 0.0016296625 5.0348066e-05 2.992385e-05 5.224799e-06 3.9898467e-05 1.5674397e-05 3.6573594e-05 2.4699051e-05 3.4198685e-05 1.2824507e-05 6.174763e-06 1.2824507e-05 6.174763e-06 9.974617e-06 3.3248723e-06 2.8023924e-05 0.0007889447 2.5174033e-05 2.7548942e-05 1.4249453e-06 2.6598978e-05 1.662436e-05 2.3749088e-05 1.7099343e-05 5.224799e-06 4.7498176e-07 7.599708e-06 8.0746895e-06 1.899927e-06 4.7498174e-06 2.3749087e-06 1.5199416e-05 0.007346543 0.0001586439 0.0002474655 4.037345e-05 0.00057947775 0.00013584478 0.0006749491 0.00031681283 3.799854e-05 0.00019094266 2.8023924e-05 3.0398833e-05 4.322334e-05 2.992385e-05 5.652283e-05 0.0007832449 0.010082913 0.00024034077 0.00062602595 0.000114945586 0.0010782086 0.00024129073 0.0009775124 0.00046548212 8.0271915e-05 0.00016576864 4.9873084e-05 5.5572866e-05 0.00012112035 8.59717e-05 0.000101171114 0.0010777336 0.0064455024 0.00024604055 0.00053482945 0.00015484405 0.0009532884 0.00014439445 0.0011299816 0.00065404986 7.2197225e-05 5.0823048e-05 9.1196496e-05 0.00012397024 0.0001377447 0.00010544595 0.00016101882 0.00066782435 0.0075826086 0.00026218992 0.00073004694 0.0003438868 0.0015945138 0.00060132693 0.00286604 0.0013826719 0.00012397024 8.8346605e-05 0.00021944157 0.00018144303 0.00013251991 8.739664e-05 0.000101646096 0.00023891583 0.00586365 0.00023891583 0.00067399914 0.0005025307 0.001953125 0.00072292227 0.0027952676 0.001668611 0.00014866929 0.00017004347 0.00013156995 0.00011779548 0.00012159533 0.00010497097 0.00010734588 0.00024319066 0.0040007713 0.0008150687 0.000937614 0.008702616 0.0014349199 0.0007742203 0.0011124073 0.00094616367 0.0008820411 0.0006407504 0.0005433791 0.00061082654 0.00068349874 0.00061082654 0.00062127615 0.0010026864 0.01275706 0.0014154457 0.0012705763 0.0018771279 0.005600035 0.003485416 0.0013608227 0.0013883717 0.0110713495 0.0010601593 0.00079511944 0.0011622803 0.0047564674 0.0012435023 0.0037001078 0.009312968 0.03671039 0.005551112 0.003958498 0.0047008945 0.016582564 0.012053612 0.0045968737 0.007211173 0.030552251 0.0021150939 0.0020713955 0.0038449774 0.016505616 0.0037476062 0.0121286595 0.022494186 0.026724849 0.0062198862 0.0038882007 0.005438541 0.011440885 0.01054887 0.004214988 0.009228895 0.020567184 0.0017564825 0.001875703 0.0034027693 0.009819773 0.004287185 0.009253595 0.017246587 0.030385533 0.02968921 0.030091045 0.030406907 0.029977525 0.029946174 0.030207414 0.030042596 0.030206464 0.030265363 0.029759983 0.030028822 0.030255863 0.030167041 0.030165141 0.029922426 3912.0 9.148262 35788.0 0.02305242 0.004945792 0.0044987146 0.005225215 0.012909355 0.005923773 0.005141388 0.0060914275 0.0062870234 0.0048899073 0.004303118 0.005560523 0.006762043 0.007376774 0.009360679 0.005057561 0.01525651 0.011735777 0.0115681235 0.010925449 0.0131328935 0.011931374 0.012853471 0.011903431 0.014222644 0.013104951 0.014390298 0.011931374 0.016038897 0.011121046 0.010729854 0.017715435 0.027355539 0.0092489105 0.0051972726 0.008187102 0.008690064 0.006762043 0.007600313 0.006762043 0.007069409 0.00648262 0.004778138 0.004526657 0.0075723706 0.0062590814 0.0050296187 0.0042192913 0.0131328935 0.0055046384 0.0061193695 0.009416564 0.008466525 0.007097351 0.010534258 0.009053314 0.0072929473 0.0060914275 0.0050296187 0.0051972726 0.0070414664 0.0056722923 0.0051134457 0.0130770095 0.007851794 0.02498044 0.010254834 0.015675645 0.019280206 0.03506762 0.009891584 0.009053314 0.010254834 0.020397898 0.006929697 0.006147312 0.017380128 0.010646027 0.018889014 0.026461383 0.012210797 0.0042192913 0.025259864 0.021571476 0.03638091 0.01296524 0.0076561975 0.0058678887 0.01008718 0.008606236 0.005560523 0.004359003 0.0067061586 0.00444283 0.0045545995 0.004861965 6.348232 0.0 0.0 0.0 16.0 1054208.0 1073152.0 1.0 0.0 82.0 1.0 1.0 0.0 1.0 0.0 1541587200.0 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 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 623104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5834947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5797486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4162726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.528199 0.0 3.42769 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395848.0 0.0 6080.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 1022136.0 6080.0 1044480.0 0.0 0.0 0.0 0.0 18528.0 1052672.0 28.0 462208.0 0.0 0.0 0.0 0.0 24.0 462400.0 64.0 462240.0 0.0 0.0 332.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.37323976 0.0046298467 0.0025611918 0.0026503175 0.0027159892 0.0018575677 0.0014260116 0.0011680161 0.0022656696 0.0012149244 0.007833682 0.0012289968 0.0025142836 0.0072801644 0.0010648179 0.001060127 0.0014494658 0.0010132188 0.0009897646 0.0008678031 0.0012383785 0.0011727068 0.0008021315 0.0007646049 0.0008865664 0.000816204 0.0008021315 0.00082089484 0.00085842144 0.0007317691 0.0007130058 0.0007833682 0.053353474 0.0009194022 0.009789757 0.00094754715 0.0023454137 0.00136034 0.0008631123 0.00084903976 0.0009850737 0.0008021315 0.0009147114 0.0015573547 0.052293345 0.0014823015 0.0020498917 0.003152236 0.066530004 0.008518543 0.007828991 0.0031756903 0.003377396 0.0020545826 0.0019232393 0.0018106594 0.0023782495 0.0017168429 0.0015010649 0.0017168429 0.0088469 0.0018622585 0.008776538 0.00077867735 0.002392322 0.003804261 0.0021437083 0.007669503 0.0024626844 0.0058306986 0.0016980795 0.0013181225 0.005596157 0.0027957333 0.00084903976 0.0053193984 0.002612791 0.0034665216 0.0068110814 0.004812789 0.003292961 0.0014353932 0.01320468 0.0038605512 0.0051036202 0.0012899776 0.002176544 0.0016840071 0.0012759051 0.0010695087 0.00075991405 0.0011586344 0.0015808089 0.0011445619 0.00085842144 0.0012852867 0.0007458416 0.0027159892 0.0010976536 0.0064311246 0.0026596992 0.012927921 0.004864388 0.0017965869 0.0012336876 0.004324943 0.0012149244 0.0012336876 0.0065061776 0.0017496786 0.006904898 0.007725793 0.0053709974 0.000816204 0.008077605 0.01377227 0.005141147 0.0017543695 0.0013509584 0.001252451 0.0011398711 0.0013509584 0.00060042593 0.0006754792 0.0010179096 0.0007974407 0.0009194022 0.00082089484 0.00072238746 0.00075991405 0.00076929573 0.0014400841 0.0008349673 0.001031982 0.0006942425 0.0007176966 0.00070831494 0.0012289968 0.00064264337 0.0024017037 0.00063326175 0.0010554362 0.0008537306 0.0008678031 0.0008021315 0.0007458416 0.00087249395 0.00068955164 0.0008537306 0.00075991405 0.0007270783 0.0007974407 0.00077398657 0.0007646049 0.0009006389 0.0006989333 0.0007552232 0.00064264337 0.0006754792 0.00085842144 0.0008865664 0.00096161966 0.0006942425 0.00063795253 0.00082089484 0.00061918923 0.00062388007 0.00059104426 0.00066140667 0.00063795253 0.0006942425 0.0006754792 0.00066140667 0.00062388007 0.00057228096 0.00063326175 0.00068017 0.00076929573 0.0006567159 0.00063326175 0.00060980755 0.0005957351 0.000544136 0.00064264337 0.00087718474 0.0005582085 0.0006473342 0.0006051168 0.00082089484 0.0006660975 0.00063795253 0.0005675901 0.0009756921 0.00083965814 0.0009569288 0.00070362416 0.00083027646 0.00063326175 0.00077867735 0.0011023445 0.0007552232 0.0008255856 0.00065202505 0.00058166264 0.0018950943 0.0006144984 0.00063795253 0.00077867735 0.00072238746 0.0006848608 0.0007270783 0.00058166264 0.0005769718 0.0006567159 0.0007458416 0.0006754792 0.0008068223 0.00065202505 0.00068955164 0.00061918923 0.00065202505 0.00061918923 0.0007458416 0.00079274987 0.0008068223 0.0007176966 0.00075053243 0.00079274987 0.00082089484 0.0007552232 0.00075991405 0.00081151316 0.0016793163 0.000788059 0.00068017 0.0010226005 0.0009053297 0.00067078834 0.0006989333 0.00091002055 0.00094754715 0.000816204 0.0007552232 0.0009006389 0.0008021315 0.00076929573 0.0008865664 0.0009381655 0.001031982 0.00087718474 0.00068955164 0.0008255856 0.0009850737 0.000844349 0.00082089484 0.0042029815 0.3139908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.415308e-05 0.0 0.0 0.0 4.717693e-06 0.0 0.0 0.0 0.004672875 0.0 1.6511925e-05 5.1894625e-05 3.0665007e-05 4.717693e-06 3.5382698e-05 1.6511925e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.3588466e-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 0.012733054 2.3588465e-05 0.00016511926 0.0002476789 0.00022880812 0.00012973657 0.00042695124 0.0002641908 1.8870773e-05 1.8870773e-05 1.415308e-05 1.8870773e-05 1.8870773e-05 1.8870773e-05 9.435386e-06 0.00015568388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038048197 6.60477e-05 5.4253473e-05 7.0765396e-05 7.0765396e-05 8.491848e-05 6.368886e-05 6.1330014e-05 6.368886e-05 6.60477e-05 8.9636174e-05 5.8971167e-05 6.368886e-05 0.000106148094 5.8971167e-05 4.717693e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004925272 7.784194e-05 0.023831427 0.020116244 0.0075624622 0.0033306915 0.0035807292 0.003370792 8.491848e-05 0.00012501887 0.00012973657 0.00010143041 9.435386e-05 9.435386e-05 0.00010378925 0.00010378925 0.018382492 0.000292497 0.077948086 0.077476315 0.02568784 0.014528137 0.027584352 0.017370546 0.00033259738 0.00010143041 0.000117942334 0.00012266003 0.00022173158 4.717693e-05 0.00025947313 0.00039628622 0.00830314 8.9636174e-05 0.015410345 0.0110040195 0.010065199 0.006795837 0.017012002 0.00824181 1.6511925e-05 6.368886e-05 5.1894625e-05 6.840655e-05 4.245924e-05 3.302385e-05 4.0100393e-05 5.661232e-05 0.005201257 0.00030193236 0.0014789968 0.0010945048 0.0010732752 0.0009317444 0.0015497622 0.00096948596 0.0004906401 5.661232e-05 0.00022173158 0.00011322464 0.00042223354 6.368886e-05 0.00018870772 0.00033495622 0.0110016605 0.000952974 0.0020663496 0.0017762115 0.0016488337 0.0013445426 0.0014813556 0.0012855714 0.00055904663 0.001075634 0.0005614055 0.0002429612 0.00044818086 0.0006534005 0.0016842164 0.0022031628 0.011905099 0.0021441916 0.0023163874 0.0015474034 0.0029886586 0.004186953 0.0014129492 0.0025758606 0.0036514946 0.0010449691 0.0006368886 0.00058027625 0.0027173914 0.0008798498 0.001599298 0.003290591 0.008918799 0.0019436897 0.0021536269 0.0017620585 0.0018257473 0.0014648438 0.0024248944 0.0018894362 0.001462485 0.0014837146 0.0013303895 0.0011251698 0.0013492602 0.0013893606 0.0012643418 0.002028608 0.0108294645 0.008567331 0.008767833 0.008135662 0.008501283 0.008432876 0.00860979 0.008803216 0.008454106 0.008097921 0.007734658 0.007963466 0.008090843 0.007534156 0.00830314 0.008439953 1519.0 53.499012 81265.0 0.13739002 0.00020919215 0.023589492 0.0004183843 0.00030763552 0.0010459607 0.0005291331 0.0002953301 0.00020919215 0.00015997047 0.00014766505 0.0014889559 0.13487971 0.0014397342 0.0032363257 0.0064726514 0.17234972 0.020279333 0.018495047 0.005968129 0.0066203163 0.003248631 0.0033101582 0.0028548576 0.004073094 0.001993478 0.0018335077 0.0016858426 0.021042269 0.0029040792 0.02095613 0.000110748784 0.0003568572 0.007789331 0.0033593797 0.01840891 0.0031255768 0.012268504 0.002399557 0.0014520396 0.0124038635 0.005094444 0.00019688673 0.012219283 0.004589922 0.0071002278 0.015873993 0.010754937 0.0044299513 0.0008982957 0.030566664 0.00746939 0.010570357 0.0008244632 0.002719498 0.0009106011 0.0011936257 0.00045530056 0.00019688673 0.0011197933 0.0018088968 0.0011074878 0.00014766505 0.001464345 8.6137945e-05 0.005389774 0.0012920692 0.015024918 0.0051928875 0.03173568 0.0109518245 0.0027441087 0.0009598228 0.009425952 0.00024610842 0.0012182366 0.0146065345 0.0027071924 0.016181627 0.01843352 0.011862425 0.00019688673 0.019171845 0.034061406 0.008084661 0.0015627884 0.0013905126 0.0012674583 0.001082877 0.0014766505 0.00020919215 0.000110748784 0.00012305421 0.00012305421 9.8443365e-05 0.00015997047 4.7575064 4.0 1.0 0.0 1.0 213182.0 28672.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1301832400.0 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 2.0 50.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.769546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.322406 0.0 0.0 0.0 0.0 -4.516155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.191553 0.0 5.0674453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1841.0 0.0 0.0 0.0 0.0 -1960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6552.0 0.0 700.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.26610982 0.011592098 0.005771838 0.005636258 0.008226806 0.0036558202 0.004909936 0.0025324423 0.007360062 0.0019271742 0.0019320162 0.0020046486 0.004667829 0.002154755 0.0013509587 0.00663374 0.0045274068 0.0013364323 0.0010701143 0.0015155917 0.0028471819 0.002290335 0.0014042223 0.0010023243 0.0032684486 0.0009587449 0.00067790045 0.0008425334 0.0017867519 0.0013170637 0.00089579704 0.0013412745 0.0064158435 0.0015155917 0.0012880109 0.0010216928 0.0031619214 0.00089095486 0.00070695335 0.0023097037 0.0017915941 0.000663374 0.0009393763 0.0018254891 0.0012056944 0.0025614952 0.0013461167 0.0011233779 0.0061253146 0.0025372845 0.0017141197 0.004774356 0.001723804 0.0021305443 0.00212086 0.0016656982 0.00212086 0.0020094905 0.002057912 0.003350765 0.0020191749 0.0017431725 0.0015301182 0.0014381174 0.0041255085 0.01279295 0.0016318032 0.0018932791 0.0036993995 0.0074472204 0.0021692815 0.0018981212 0.0020675964 0.0016947511 0.0008086384 0.0006004261 0.0014720124 0.0033459228 0.0016608561 0.0010459035 0.006798373 0.0032975015 0.0016414875 0.0030311835 0.0016608561 0.004048034 0.0029391826 0.0027793918 0.0015398024 0.0029682354 0.0007989541 0.0017286461 0.0011136936 0.0030989735 0.0022370715 0.0022128609 0.002358125 0.004837304 0.0015301182 0.0034330816 0.0028568662 0.0067790044 0.004217509 0.0015155917 0.004217509 0.003951191 0.0044693006 0.001191168 0.0032636065 0.0022031765 0.004086771 0.004842146 0.0033556072 0.0009054813 0.005539415 0.004207825 0.011592098 0.008648072 0.0018109626 0.0021111756 0.002057912 0.0021063336 0.0009539028 0.0006730583 0.0014526438 0.0021305443 0.001229905 0.0017625411 0.0034379237 0.0021934921 0.0015494868 0.009146814 0.0025372845 0.008943444 0.00225644 0.0010459035 0.002454968 0.007161534 0.0009684292 0.019523533 0.0009587449 0.006507844 0.0008134805 0.000663374 0.0010846407 0.00045516173 0.00045031958 0.0007553748 0.0013606431 0.0014284331 0.00070211117 0.00064884755 0.0009539028 0.0006536897 0.0004938989 0.00055200467 0.0010749564 0.0007553748 0.00049874105 0.00072147977 0.0013654851 0.0011524308 0.0007699012 0.0018012783 0.0012056944 0.0007989541 0.00083769124 0.0013848537 0.0014235909 0.00045031958 0.0015494868 0.00065853185 0.01166473 0.00050842535 0.0007553748 0.00070695335 0.004101298 0.00074084837 0.0005471625 0.00049874105 0.0022467559 0.0012541158 0.00232423 0.0015107496 0.0021499128 0.0010410614 0.0032684486 0.00054232037 0.0012444315 0.0010168507 0.0017867519 0.005161728 0.0061495253 0.0027212861 0.0017528569 0.003350765 0.0021692815 0.00064884755 0.0017722255 0.0044644587 0.0019804377 0.0023678094 0.0010071663 0.00086674414 0.005045516 0.00089095486 0.0010894828 0.0011330622 0.0017625411 0.0012880109 0.0014284331 0.0010265349 0.0010652721 0.00039221384 0.0013558009 0.0010265349 0.0018593841 0.0010071663 0.0008522177 0.0014284331 0.0017915941 0.00060526823 0.00085705984 0.00039705596 0.0030408676 0.0006101104 0.00072147977 0.00053263607 0.0019029634 0.0017625411 0.00051326747 0.0005568468 0.0084931245 0.0016995933 0.00069242687 0.0031231842 0.0037526633 0.00068274257 0.00082800695 0.00064884755 0.0030553942 0.0010749564 0.00070211117 0.0011330622 0.0019707535 0.00063916325 0.0020675964 0.0016124346 0.0035686616 0.012299051 0.0044160374 0.0024113888 0.0033459228 0.0027939184 0.0031909742 0.10346698 0.06 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 0.0011230469 0.00049072265 3.4179688e-05 0.0 0.0 6.347656e-05 0.00029296876 9.765625e-06 0.0 0.0 0.00020263671 0.00021972656 0.00015625 9.521484e-05 0.0 0.032312013 0.004909668 0.0002734375 0.00023193359 7.324219e-05 2.1972657e-05 0.00016357422 8.789063e-05 7.324219e-05 9.2773436e-05 3.90625e-05 0.00025390624 6.591797e-05 0.00017578126 0.00028320312 9.765625e-06 0.013244629 0.0087182615 0.00037597655 0.000546875 0.00010986328 0.00024658203 0.00030517578 0.00014892578 0.00011474609 0.00014160156 4.8828126e-05 0.00045410157 6.591797e-05 4.3945314e-05 5.126953e-05 2.9296874e-05 0.008598633 0.0079956055 0.00021484375 0.00012451172 7.080078e-05 0.0003198242 0.00018554687 4.3945314e-05 0.00010498047 0.00017578126 2.6855469e-05 0.00023193359 8.300781e-05 3.173828e-05 4.6386718e-05 7.8125e-05 0.0002661133 0.013752442 0.00040039062 0.0007397461 9.2773436e-05 0.00091796875 0.0004321289 0.0015991211 0.0009423828 0.0002758789 3.173828e-05 0.00033935547 0.0001171875 4.3945314e-05 4.6386718e-05 4.8828126e-05 0.00021972656 0.017424317 0.0007910156 0.0020898439 0.0005810547 0.0011987304 0.0011035156 0.002746582 0.0016064453 0.00032226564 0.00029052736 0.006972656 0.0023974609 8.544922e-05 0.0002709961 6.347656e-05 0.012055664 0.02616211 0.0006323242 0.0018286132 0.001508789 0.0018457031 0.00091308594 0.006520996 0.004025879 0.000559082 0.00048828125 0.00052490237 0.00052001956 0.0006494141 0.00094970706 0.0005175781 0.007353516 0.035007324 0.0013012695 0.0018237304 0.0011987304 0.004606934 0.0020581055 0.010615234 0.006447754 0.0010888672 0.0016748047 0.0033618165 0.0017700195 0.00081542967 0.001784668 0.0010620117 0.0103833005 0.02644043 0.0009912109 0.001965332 0.001237793 0.0032226562 0.0014013671 0.0038989258 0.0032299804 0.0011328125 0.0018237304 0.0036645508 0.0089917 0.0006762695 0.0014086914 0.0008618164 0.0040527345 0.02289795 0.0015429688 0.0019458007 0.011557617 0.0045996094 0.0024072265 0.004658203 0.0038427734 0.0022387695 0.0010913085 0.001796875 0.0024682616 0.002097168 0.0015576172 0.0014355469 0.0038623046 0.01581543 0.0014208985 0.0015551758 0.0030297851 0.0028564453 0.0024121094 0.0018945313 0.001772461 0.005727539 0.0008569336 0.0026538086 0.002973633 0.0028637694 0.0012646484 0.0016699219 0.0062329103 0.048754882 0.006643066 0.0056103515 0.0056298827 0.012385254 0.013859863 0.0077734375 0.009501953 0.030307617 0.002133789 0.0019775392 0.0045898436 0.0145751955 0.003635254 0.010371094 0.027250977 0.044189453 0.010441895 0.008552246 0.01185791 0.015202637 0.015419922 0.0127661135 0.017070312 0.027224122 0.0034179688 0.003815918 0.0045483396 0.014572754 0.0060522463 0.012788086 0.022080079 0.0032958984 0.0013085938 0.0014672852 0.0018408203 0.0010253906 0.0011791992 0.0024487304 0.0016625976 0.0011083984 0.00057617185 0.0007421875 0.0006225586 0.0006542969 0.0005810547 0.0006347656 0.0008520508 916.0 16.688864 15287.0 0.03839864 0.001112056 0.001112056 0.0013083011 0.0030745077 0.0014391313 0.001112056 0.004317394 0.0031399229 0.0024203572 0.0014391313 0.0020932818 0.0035978283 0.0037286584 0.010531824 0.008831033 0.025315627 0.016092105 0.01164388 0.0075227316 0.007457317 0.011316805 0.010139334 0.008634788 0.008046052 0.0060181855 0.007653562 0.00582194 0.006606921 0.004448224 0.0064106756 0.0062144306 0.0051023746 0.0108589 0.0027474326 0.010531824 0.018185386 0.0108589 0.0048407144 0.009158108 0.00569111 0.008569373 0.0026166022 0.0013737163 0.0048407144 0.005364035 0.008111468 0.0026820174 0.019362858 0.002158697 0.0028128475 0.013410087 0.008373127 0.002289527 0.0052986196 0.0062144306 0.0071302415 0.0020932818 0.0031399229 0.0015045464 0.004055734 0.0017007915 0.0014391313 0.0075227316 0.004709884 0.035782035 0.0070648263 0.030548831 0.020082423 0.061097663 0.0059527704 0.010662654 0.010531824 0.033688754 0.003270753 0.004775299 0.023680251 0.017858312 0.03362334 0.04487473 0.019689932 0.0013083011 0.04526722 0.030483417 0.05350952 0.014260483 0.005625695 0.014652973 0.008046052 0.012755936 0.0019624517 0.0009158108 0.0026820174 0.00085039577 0.0009812259 0.0017662066 5.871191 0.0 36.0 0.0 3.0 206520.0 212992.0 1.0 0.0 126.0 1.0 1.0 1.0 0.0 0.0 1534727800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 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 11.0 0.0 6.0 0.0 6.0 0.0 85504.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -85504.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7296154 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9224396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4287298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5833216 0.0 4.301581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29530.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -85195.0 0.0 49724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 140.0 116628.0 49724.0 139264.0 0.0 0.0 16056.0 190464.0 5460.0 192512.0 56.0 90720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113536.0 0.0 0.0 528.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.36176074 0.008462283 0.006725866 0.0071434854 0.008465946 0.0034691694 0.0034105564 0.0035021394 0.011286707 0.0017840397 0.0019415626 0.0022529452 0.0067331926 0.0028134342 0.0010916711 0.0084989155 0.0063705235 0.0016887932 0.0009158314 0.00094880135 0.0036486725 0.0020624525 0.0015092902 0.0006007854 0.0025057148 0.0009378114 0.00047989568 0.00063009205 0.0016741399 0.00047623235 0.0005348456 0.00090850476 0.005004103 0.0006081121 0.0009231581 0.001754733 0.0043410407 0.0007106852 0.00054583553 0.00083157496 0.0011722642 0.00036266923 0.0004286091 0.002014829 0.0011209777 0.0022639353 0.0006447453 0.0005275189 0.003542436 0.0018133462 0.0018976027 0.008590499 0.0021503721 0.0015898834 0.0013554305 0.001124641 0.002271262 0.0026815545 0.00158622 0.0042091613 0.0026705645 0.0019562158 0.0018316628 0.0017840397 0.00491252 0.00327135 0.0073303147 0.006850419 0.005454692 0.009931276 0.0026082878 0.0018682961 0.0019085926 0.0011649376 0.000641082 0.00056048884 0.0018243362 0.0047147004 0.0017913663 0.0010806811 0.006780816 0.0019378993 0.0011795909 0.0033482797 0.0014653302 0.003963718 0.003993025 0.0032896665 0.0015166169 0.0040553017 0.00059345877 0.0014067171 0.0008682082 0.004025995 0.0025460115 0.002531358 0.0009854346 0.003879462 0.0012345407 0.002531358 0.0032310532 0.0064987396 0.0040333215 0.0015459234 0.003329963 0.003340953 0.006084784 0.0009927612 0.0034105564 0.0019708693 0.0037842155 0.004161538 0.0031687766 0.00064840866 0.0049308366 0.0047293534 0.012352734 0.0112574 0.0019195827 0.001282164 0.0015679034 0.001472657 0.00069236854 0.00040662914 0.0011502843 0.0026119512 0.0013590938 0.0012968173 0.0027474943 0.0018133462 0.0006264287 0.009795733 0.0029269971 0.009103364 0.000494549 0.00067771523 0.0022346287 0.010022859 0.0009817713 0.029185716 0.0009158314 0.0076343706 0.00045425238 0.00043227244 0.001271174 0.00022712619 0.00022712619 0.00047989568 0.00094513805 0.00074365514 0.0002674228 0.00027108612 0.000787615 0.00043593577 0.00020880956 0.0003003927 0.000809595 0.00036266923 0.00036633256 0.0008132583 0.0008865248 0.0010147413 0.0002857394 0.00068870524 0.0007729617 0.00058979547 0.00020514624 0.00019049294 0.0008132583 0.00027108612 0.00020148291 0.00033336264 0.0008975148 0.0001978196 0.00019049294 0.00027108612 0.0016008733 0.00022346286 0.00021247289 0.0002564328 0.0008462282 0.000483559 0.0018536429 0.0010257312 0.0014140437 0.0007180118 0.000663062 0.0004579157 0.0009121681 0.0005275189 0.0005568255 0.0004872223 0.007714964 0.0066745793 0.0024654183 0.0045645037 0.0024764081 0.001293154 0.0030222437 0.0034032296 0.004428961 0.0033336263 0.0013774105 0.0010477111 0.0022566086 0.00042128246 0.0011722642 0.0011832542 0.002978284 0.0012785007 0.0010953344 0.000809595 0.000967118 0.00021613622 0.0008608815 0.00061543874 0.001765723 0.00087187154 0.000483559 0.0011686009 0.0013041439 0.00050187565 0.0004395991 0.00040662914 0.0023518552 0.0006081121 0.00046524237 0.00042494579 0.0019745326 0.0017144365 0.00037732255 0.00046157904 0.012275805 0.0018573061 0.0005568255 0.004058965 0.004216488 0.00036633256 0.00049088564 0.00050553895 0.0038318387 0.0010843445 0.000809595 0.00083157496 0.0021650256 0.0003846492 0.002304232 0.0018096829 0.0044436143 0.0010989977 0.000809595 0.0007839517 0.0040553017 0.0018426528 0.0033262998 0.035677128 0.07003427 0.00016214623 6.633255e-05 4.606427e-05 0.0005804098 2.9481133e-05 3.6851416e-05 3.5008845e-05 2.395342e-05 2.0268279e-05 2.211085e-05 1.8425708e-05 0.00055829895 1.6583137e-05 2.0268279e-05 2.7638562e-05 0.14853331 0.0013837706 0.0002395342 0.0001197671 0.0017338591 0.00012529481 0.00016583137 0.00015293337 0.00011792453 0.00011423939 0.00010134139 5.8962265e-05 0.0016638414 3.8693986e-05 8.4758256e-05 8.2915685e-05 0.013889299 0.00033719046 2.211085e-05 1.4740566e-05 0.00031876474 2.0268279e-05 2.0268279e-05 1.1055425e-05 1.1055425e-05 1.6583137e-05 2.5795991e-05 2.5795991e-05 0.00033166274 1.4740566e-05 1.4740566e-05 2.0268279e-05 0.006533756 0.0004219487 1.28979955e-05 1.4740566e-05 0.00022295106 1.1055425e-05 1.4740566e-05 1.1055425e-05 1.6583137e-05 1.28979955e-05 1.1055425e-05 1.28979955e-05 0.00021558077 1.1055425e-05 1.28979955e-05 1.1055425e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005975457 0.00016583137 0.00015661851 3.5008845e-05 0.00037956957 0.00011608196 0.0003021816 0.00021926592 4.0536557e-05 1.1055425e-05 1.8425708e-05 1.1055425e-05 4.974941e-05 7.370283e-06 1.1055425e-05 4.790684e-05 0.008682193 0.00011423939 0.0006301592 6.817512e-05 0.00034456074 0.00010134139 0.0028946786 0.002056309 5.1591982e-05 1.6583137e-05 1.1055425e-05 9.212854e-06 2.0268279e-05 1.28979955e-05 1.28979955e-05 6.817512e-05 0.01887161 0.000364829 0.0015256486 0.00019346992 0.0014279924 0.0006227889 0.00409972 0.0020360406 0.0002837559 8.2915685e-05 0.00012897995 9.581368e-05 0.00012529481 9.581368e-05 8.4758256e-05 0.00014924823 0.014359154 0.00014372052 0.00084573997 0.00037956957 0.0017283313 0.0007867777 0.006194723 0.003644605 0.00011239682 0.00025058963 7.923054e-05 9.397111e-05 0.00014924823 0.00016767393 9.028597e-05 0.0011626622 0.016791347 0.0002966539 0.0014003537 0.0013413915 0.002699366 0.0009839328 0.006546654 0.0040186467 0.00016583137 0.00041826357 0.00012345224 0.00018057194 0.00032982018 0.00044405955 0.00035561615 0.0016398879 0.012160967 0.00055461377 0.0015072229 0.0009986734 0.0035819577 0.0013192807 0.009715876 0.005220003 0.0003150796 0.00027454304 0.00047169812 0.0003021816 0.00026901532 0.0002763856 0.0005159198 0.0002524322 0.009647701 0.0011921433 0.0016601563 0.014508402 0.0032779335 0.0020968455 0.0040812944 0.0026404038 0.0013119103 0.0012197818 0.0009710348 0.0010521079 0.001459316 0.0011810878 0.0013948261 0.0013616598 0.015085127 0.0015698703 0.0014795843 0.0045658904 0.0041347286 0.0018388856 0.0024358786 0.0021005305 0.0058667455 0.001171875 0.00088627654 0.0014427329 0.004656176 0.0014243072 0.0019549676 0.0059901974 0.05231611 0.008689564 0.0058833286 0.009516878 0.01669922 0.01665684 0.006889372 0.013375221 0.035662957 0.0025353774 0.0019383845 0.0041568396 0.01970998 0.005717497 0.0137382075 0.028023658 0.04720482 0.0103312945 0.0076429835 0.009183372 0.018777639 0.018768426 0.0075619104 0.0153541425 0.036248896 0.0021834464 0.00286704 0.004586159 0.017355174 0.006233417 0.014405218 0.026579084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1264.0 13.807754 17453.0 0.033117514 0.00091674784 0.0036669914 0.00080215436 0.004583739 0.0008594511 0.00051567063 0.0033232109 0.0032086174 0.00091674784 0.0010313413 0.0012032315 0.0029221338 0.0037242882 0.0042399587 0.0040680687 0.016386868 0.009282072 0.011230161 0.008479917 0.010485304 0.0073339827 0.0064745317 0.004010772 0.007849653 0.0071620923 0.007964247 0.008995588 0.01283447 0.0077923564 0.010428007 0.009052885 0.010141523 0.008823698 0.0022918696 0.0059588607 0.011860426 0.0052140034 0.0042972555 0.008880994 0.0045264424 0.0075058728 0.0012032315 0.0013751218 0.0057869707 0.0032659143 0.007276686 0.003552398 0.019079814 0.0033805077 0.00263565 0.011860426 0.0075058728 0.001776199 0.006589125 0.007964247 0.0071620923 0.0027502435 0.0022918696 0.0020626825 0.003094024 0.0012605282 0.0017189021 0.0139804045 0.0045264424 0.035925057 0.011058271 0.028075403 0.029908897 0.06600584 0.009339369 0.009625852 0.009797743 0.030138085 0.0067610154 0.004812926 0.028648369 0.01896522 0.033404 0.045264423 0.024752192 0.0037815848 0.041597433 0.040508796 0.052942187 0.018850628 0.011115568 0.0056150807 0.0077923564 0.009339369 0.003094024 0.00080215436 0.00263565 0.0010313413 0.0006302641 0.001317825 5.8471704 1.0 2.0 0.0 5.0 272976.0 294912.0 1.0 48.0 103.0 1.0 1.0 1.0 0.0 0.0 1452524900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 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 12.0 0.0 5.0 1.0 5.0 1.0 140800.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140800.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5198865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.71331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6306727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6893406 0.0 5.044181 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110374.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140454.0 0.0 2676.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -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 2.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1775.0 253520.0 80.0 255296.0 2676.0 278528.0 0.0 0.0 2128.0 270848.0 8808.0 282624.0 84.0 147984.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 249296.0 0.0 0.0 424.0 147456.0 96.0 253060.0 0.0 0.0


Input: 0.66111064 0.0055693565 0.0027245772 0.0037663274 0.003445789 0.0011218848 0.0010818174 0.0010016828 0.003445789 0.00080134626 0.00076127896 0.00044074043 0.0017228945 0.00072121166 0.0010417502 0.0018030291 0.0086545395 0.0016828271 0.0010417502 0.00016026925 0.00096161553 0.00372626 0.00084141357 0.0002804712 0.00088148087 0.00024040388 0.00024040388 0.0009215482 0.0017228945 0.00096161553 0.0017228945 0.00040067313 0.0026043754 0.0002804712 0.00024040388 0.00020033657 0.001402356 0.0026043754 0.00044074043 8.0134625e-05 0.0014424233 0.00076127896 0.0002804712 0.00012020194 0.0005208751 0.00044074043 0.0014824906 0.0006811443 0.0016026925 0.0011218848 0.00088148087 0.0010016828 0.0013622886 0.0005609424 0.00048080776 0.0003205385 0.001402356 0.0010016828 0.00096161553 0.00072121166 0.0005208751 0.0011218848 0.00016026925 0.0005609424 0.014985175 0.0016828271 0.002043433 0.0026043754 0.0013622886 0.0043272697 0.001402356 0.0005609424 0.0006811443 0.0016828271 0.0009215482 0.0003205385 0.002323904 0.004487539 0.00096161553 0.0015626252 0.007372386 0.0029649811 0.0024441062 0.0026444427 0.0016427599 0.0024040388 0.0029249138 0.001161952 0.00096161553 0.00020033657 0.0003205385 0.0002804712 0.000641077 0.0010818174 0.00020033657 0.005609424 0.0010016828 0.0060501643 0.0026043754 0.0015626252 0.003966664 0.004968347 0.003445789 0.00088148087 0.0030851832 0.003205385 0.0034858563 0.00040067313 0.0028447793 0.002323904 0.0028848466 0.0044074045 0.0015225579 8.0134625e-05 0.004727943 0.0023639714 0.004647808 0.001402356 0.0025242406 0.0005208751 0.001282154 0.000641077 0.00024040388 0.00012020194 0.00040067313 0.0010818174 0.00012020194 0.00048080776 0.0023639714 0.0003205385 0.00020033657 0.0021235675 0.0003205385 0.0010818174 0.0002804712 0.00012020194 0.0010818174 0.004968347 0.00024040388 0.00641077 0.00036060583 0.006290568 8.0134625e-05 0.0002804712 0.0017228945 0.0005208751 0.0006811443 0.00044074043 0.0006811443 0.0005609424 4.0067313e-05 0.0003205385 0.0006010097 0.00048080776 0.00020033657 0.00020033657 0.00036060583 0.0005208751 0.00044074043 8.0134625e-05 0.00096161553 0.00040067313 0.00020033657 0.00012020194 0.0010016828 0.00020033657 0.00020033657 0.00020033657 0.0002804712 0.0003205385 0.0005208751 0.00016026925 0.0006811443 0.0003205385 0.00020033657 0.00012020194 0.00076127896 0.00024040388 0.00016026925 0.00012020194 0.0013222214 0.00016026925 0.00012020194 0.0002804712 0.00044074043 0.0002804712 8.0134625e-05 0.00072121166 0.00020033657 0.00020033657 0.0002804712 0.0003205385 0.0016427599 0.00088148087 0.00044074043 0.00084141357 0.0014824906 4.0067313e-05 0.00024040388 0.0005609424 0.001161952 0.00036060583 8.0134625e-05 0.00020033657 0.0017228945 0.00044074043 8.0134625e-05 0.00024040388 0.001402356 0.0 4.0067313e-05 0.00088148087 0.0015225579 8.0134625e-05 0.00012020194 0.001282154 0.00072121166 4.0067313e-05 0.0 0.00088148087 0.0006010097 0.00012020194 0.00024040388 0.00016026925 0.0015626252 8.0134625e-05 0.00088148087 0.00012020194 0.00096161553 0.00044074043 0.00020033657 0.00012020194 0.0012020194 0.0005208751 4.0067313e-05 0.0002804712 0.0013222214 0.00016026925 0.00044074043 0.0002804712 0.00044074043 4.0067313e-05 0.0003205385 0.00020033657 0.00044074043 0.00024040388 0.0006010097 0.0003205385 0.0019232311 0.00020033657 0.00016026925 0.00080134626 0.0013222214 0.00072121166 0.0003205385 0.032454524 0.26086956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039593242 4.245924e-05 0.0 0.00012737772 0.0 0.0 0.0 6.368886e-05 0.0 0.0 0.0 0.0 0.00012737772 0.0 0.0 0.003524117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039423402 0.00046705164 0.00042459238 0.00016983696 0.00042459238 0.00025475543 0.000615659 0.00038213315 0.00025475543 0.00025475543 2.122962e-05 0.00012737772 0.00027598505 8.491848e-05 4.245924e-05 0.00025475543 0.06869905 0.0005731997 0.0006368886 0.0009765625 0.00082795514 0.00070057745 0.0017195992 0.0011463994 0.0010190217 4.245924e-05 2.122962e-05 0.00016983696 0.0007642663 0.0 0.00033967392 0.009319803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030867867 0.0 2.122962e-05 0.0006581182 0.0016559103 0.002462636 0.0052224863 0.0023564878 4.245924e-05 4.245924e-05 2.122962e-05 2.122962e-05 2.122962e-05 2.122962e-05 4.245924e-05 2.122962e-05 0.058848504 0.002016814 0.0021866509 0.0014223845 0.003078295 0.0015922214 0.004245924 0.0020592732 0.0013586957 0.00033967392 0.00046705164 0.00036090353 0.0007642663 0.00019106657 0.0006368886 0.0073879077 0.028638756 0.00082795514 0.0009765625 0.0010402513 0.0024838655 0.001167629 0.0038637908 0.0022927988 0.00025475543 0.00027598505 6.368886e-05 0.00023352582 0.000106148094 0.00012737772 0.00023352582 0.00089164404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07007898 0.0053286343 0.0040973164 0.0028872283 0.0107846465 0.004670516 0.009086277 0.0044794497 0.0029933765 0.0019318954 0.0019106658 0.0021017324 0.0019318954 0.0015922214 0.0018257473 0.004734205 0.019276494 0.0018045177 0.0022078804 0.0014648438 0.0036514946 0.0017195992 0.006092901 0.0029933765 0.00040336276 0.00038213315 0.00044582202 0.0003184443 0.00016983696 0.00021229619 0.00036090353 0.0019743547 0.030528193 0.0029721467 0.0014860734 0.003460428 0.0074515967 0.006920856 0.012759001 0.006029212 0.0031207541 0.0016983695 0.0015709918 0.0010402513 0.0016771399 0.001507303 0.0019318954 0.0028023098 0.029318105 0.011400306 0.0019318954 0.00222911 0.013629416 0.01507303 0.0057107676 0.0012950068 0.01840608 0.0030995244 0.0016983695 0.0015285326 0.004925272 0.0047554346 0.0036727241 0.011761209 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 114.0 12.973684 1479.0 0.01081812 0.0006761325 0.0006761325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006761325 0.0006761325 0.0006761325 0.0 0.014874916 0.0 0.0020283975 0.008789723 0.004056795 0.004056795 0.0033806625 0.0006761325 0.006085193 0.0006761325 0.001352265 0.001352265 0.0020283975 0.0 0.0 0.0 0.0006761325 0.0 0.0 0.010141988 0.004732928 0.030425964 0.00540906 0.006085193 0.011494253 0.0 0.0020283975 0.01352265 0.0 0.0020283975 0.01622718 0.014874916 0.00540906 0.014198783 0.00540906 0.0006761325 0.001352265 0.025693037 0.007437458 0.0020283975 0.014198783 0.0020283975 0.0006761325 0.0006761325 0.0006761325 0.0 0.007437458 0.0 0.0 0.08451656 0.0 0.08181203 0.037863422 0.020960107 0.043948613 0.049357675 0.015551048 0.009465856 0.00270453 0.033806626 0.018931711 0.004056795 0.023664638 0.029073698 0.0270453 0.052738335 0.007437458 0.0006761325 0.05679513 0.025693037 0.050033808 0.006085193 0.03989182 0.0 0.006085193 0.001352265 0.0 0.0 0.0 0.001352265 0.0 0.0 5.15406 3.0 0.0 0.0 1.0 24958.0 28672.0 0.0 0.0 44.0 0.0 1.0 0.0 0.0 0.0 1026497500.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 0.0 4478.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.087671 0.0 1.7788141 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 0.0 4478.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14164.0 2264.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 184.0 4096.0 0.0 0.0 0.0 0.0