Input: 0.122381344 0.0028373282 0.0012563565 0.0012183263 0.0019395428 0.0007864112 0.0008271579 0.00076875434 0.0021853813 0.0006356485 0.0006016929 0.0006152751 0.0015293594 0.0006071258 0.00048081102 0.0018960796 0.0015687478 0.0004971097 0.00040746696 0.0005147666 0.00082851615 0.0006533054 0.000468587 0.00037215315 0.00068182807 0.0004848857 0.00035992917 0.00041018342 0.00068726094 0.0030831667 0.00035313805 0.0004943932 0.0011721466 0.00047673634 0.0004020341 0.00058675243 0.00086383 0.0004672288 0.00039931762 0.00050797546 0.00061120046 0.0004740199 0.00039388472 0.0006044093 0.00052970706 0.0011762213 0.00046451236 0.00030152555 0.00097112963 0.000632932 0.0008353073 0.0016475248 0.0007144254 0.00078776944 0.00059626 0.00048352746 0.0008054264 0.0007646797 0.0006437978 0.0010933697 0.0005120502 0.00074023166 0.00046994523 0.00082987436 0.0008461731 0.0007443063 0.0005745284 0.00065738003 0.0006859027 0.0020427678 0.00091951713 0.00055958796 0.0005663791 0.0005378564 0.00034906337 0.00034770515 0.0005555133 0.0010553395 0.00056909554 0.00034363047 0.0014763887 0.00072800764 0.00046994523 0.0008067846 0.000468587 0.0010376825 0.0009928612 0.0009303829 0.00054736395 0.0011748631 0.00040746696 0.000571812 0.0005201995 0.0011409075 0.00093989045 0.0007470228 0.0008162922 0.000888278 0.0004780946 0.0006723205 0.0006614547 0.0012509236 0.0013378499 0.0003870936 0.0008054264 0.0007782619 0.001113743 0.0004957515 0.0007823366 0.0006044093 0.0007823366 0.0008353073 0.000785053 0.00043463142 0.0009752043 0.00086111354 0.0024909815 0.0025195042 0.0006370067 0.00048081102 0.0005568715 0.00050933374 0.0005242742 0.0003626456 0.00064923073 0.0024352942 0.00048081102 0.0006342902 0.0008937109 0.0007035596 0.00033683935 0.0028264625 0.00078097836 0.0017575409 0.0006614547 0.00082987436 0.0006736787 0.0020889472 0.0005921853 0.005743926 0.00044278076 0.0016217185 0.00029880911 0.00048216924 0.0005677373 0.00037894427 0.00033004823 0.00033955582 0.00063021557 0.00042512387 0.00031918247 0.00029473443 0.00044957187 0.00033004823 0.0003925265 0.00037622784 0.00041289986 0.00036943672 0.00035857092 0.00033819757 0.00065738003 0.00060576753 0.0003273318 0.00040475052 0.00038845185 0.00030560023 0.0002811522 0.00028522688 0.00048352746 0.00032597358 0.00031510778 0.00041833275 0.00042919855 0.00029337622 0.00036943672 0.00033955582 0.00064787245 0.00030016733 0.00031782425 0.00046451236 0.000456363 0.00041833275 0.0003966012 0.000584036 0.00061799155 0.00044006432 0.0004387061 0.00034227225 0.00038030252 0.00061120046 0.00037622784 0.00041425807 0.0019762148 0.0010920115 0.000785053 0.0013459992 0.0008461731 0.00037758605 0.0008135757 0.0008787704 0.0007891277 0.0008529642 0.00038301895 0.00033412292 0.0011898036 0.0005432893 0.00045093012 0.00046994523 0.00069812674 0.0005025426 0.0005134084 0.0004631541 0.0005432893 0.00037486962 0.00048896036 0.00045093012 0.00060984225 0.0007049179 0.00036672028 0.00063972315 0.00042376565 0.00061120046 0.00038437717 0.000431915 0.00075924676 0.0005025426 0.00028930153 0.00034770515 0.0005310653 0.00053921464 0.0004088252 0.0004332732 0.0027273123 0.0009045767 0.0003925265 0.0012563565 0.0010933697 0.00040067584 0.0004033923 0.00033819757 0.0010607723 0.00042376565 0.00045772124 0.000571812 0.0007008432 0.00038030252 0.0007864112 0.0007864112 0.00125364 0.0004903186 0.00048760214 0.00045093012 0.0012889538 0.0005134084 0.0009969359 0.6894681 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.005222841 0.00021557821 0.0003182669 0.00013193114 0.00025978195 0.00014689242 0.00036791107 0.00026454235 0.00014553229 4.9644193e-05 4.4203734e-05 4.4203734e-05 5.2364423e-05 8.3647064e-05 9.656816e-05 0.0009126371 0.00087455387 7.2766146e-05 2.1761838e-05 0.00012037017 8.908752e-05 1.8361552e-05 3.3322816e-05 2.1081782e-05 1.4281207e-05 1.8361552e-05 1.8361552e-05 2.7882355e-05 1.7001435e-05 1.36011495e-05 1.1560976e-05 2.0401723e-05 0.0030827005 0.00025298138 0.00030806602 0.000119690114 0.0003182669 0.00017205454 0.0013669155 0.0010398078 8.5687236e-05 6.052511e-05 2.1761838e-05 3.0602587e-05 5.2364423e-05 2.1081782e-05 1.2921091e-05 1.8361552e-05 0.0033880463 0.000615452 0.00042367578 0.0002509412 0.00026114206 0.00013941177 0.001029607 0.0010472884 0.0002237389 0.00018157533 7.752655e-05 9.58881e-05 8.160689e-05 6.256528e-05 4.6243906e-05 0.0004318365 0.004389771 0.00064333435 0.0003774319 0.002710029 0.0004427174 0.00038763275 0.0010044449 0.0008854348 0.00037131135 0.00039239315 0.00032642757 0.000319627 0.0004991622 0.0003753917 0.00026590246 0.0005365653 0.0021761837 0.0002815438 0.00019857677 0.0002652224 0.00019245625 0.00030194552 0.00020809758 0.00033050793 0.0010819715 0.00023121953 0.00021693832 0.00027134293 0.0004699197 0.0001917762 0.00026114206 0.0016777017 0.00911277 0.0016641006 0.0010989729 0.0019211622 0.0017450274 0.0020979773 0.0013553546 0.0025019313 0.0048426893 0.00057192834 0.0006324534 0.0008140288 0.0023455182 0.00082831 0.0019864477 0.0040857852 0.0126266265 0.0039354926 0.0018871594 0.002700508 0.0037736387 0.005172517 0.0024760892 0.0047563217 0.009559568 0.00074126263 0.0010194061 0.001172419 0.0051820376 0.002061254 0.004567946 0.008005637 0.003573702 0.0024407262 0.002272072 0.0022707118 0.0023366774 0.0023665999 0.0022795526 0.0024482068 0.002699828 0.0021591824 0.0022088266 0.0021251796 0.002664465 0.0022979141 0.0023312368 0.002522333 567.0 10.797178 6122.0 0.03446586 0.003103561 0.0024501798 0.0039202874 0.004573669 0.0034302515 0.0024501798 0.0096373735 0.0070238486 0.0024501798 0.002123489 0.0034302515 0.0050637047 0.002613525 0.004737014 0.002123489 0.0130676245 0.012577589 0.019438092 0.019111402 0.016497876 0.016497876 0.011434172 0.01290428 0.016334532 0.010290755 0.0070238486 0.0075138845 0.006860503 0.010290755 0.0055537405 0.010127409 0.0053903954 0.0076772296 0.004083633 0.009474028 0.006860503 0.0071871937 0.0075138845 0.007840575 0.00800392 0.004737014 0.0029402156 0.004246978 0.008167266 0.0050637047 0.0049003595 0.0037569422 0.019764783 0.0060437764 0.0060437764 0.011760863 0.008330611 0.0037569422 0.008820646 0.011270827 0.0070238486 0.004083633 0.004083633 0.004083633 0.0035935969 0.004083633 0.0034302515 0.008657302 0.0104541 0.0313623 0.006207122 0.024338452 0.021888271 0.05749755 0.0076772296 0.008820646 0.009474028 0.024338452 0.008167266 0.0029402156 0.029728847 0.0075138845 0.022541653 0.031198954 0.013884352 0.0035935969 0.039529566 0.022214962 0.047860175 0.016334532 0.007350539 0.004573669 0.0104541 0.009147338 0.0032669061 0.002613525 0.0035935969 0.0027768703 0.0027768703 0.004083633 6.0980597 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 13.0 5.0 1.0 5.0 1.0 84480.0 1024.0 1187840.0 4.0 0.0 0.0 1.0 1.0 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 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 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6712165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4291673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.932345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28423.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84305.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.16922776 0.009058541 0.0036936062 0.0030824712 0.011166827 0.0027125056 0.0024099634 0.001654905 0.012271105 0.0014215154 0.0013415578 0.0013687867 0.0065405266 0.0018506929 0.0012883969 0.0036218604 0.0054742824 0.0041344534 0.0028145055 0.0026139633 0.0028244462 0.0034429284 0.0008968211 0.0012931512 0.0017538795 0.0022837603 0.0010195667 0.00072912633 0.0020866757 0.0006189146 0.00082334655 0.00071270263 0.0023105568 0.0005385248 0.0030699375 0.00043566054 0.006291146 0.0013791595 0.00037990636 0.00036002503 0.0011051429 0.0006465756 0.000803033 0.0017824048 0.0013091427 0.0005229655 0.00073690596 0.0005648892 0.001682566 0.00067250774 0.00081988896 0.0045407237 0.0008760753 0.0005333384 0.0005605672 0.0005190757 0.0016099559 0.0014279984 0.0016441 0.0032847421 0.0011656513 0.0006820162 0.00062971964 0.0011997953 0.0050213337 0.0018208709 0.0017664133 0.0010048718 0.0020728451 0.010512471 0.002766531 0.0009772108 0.002072413 0.0012745664 0.0022146078 0.00090892275 0.0023503194 0.007838 0.0022651756 0.0031403864 0.009119914 0.005589248 0.004360495 0.00736517 0.0037575723 0.007860906 0.005582765 0.005231384 0.0011712699 0.001544261 0.0007576517 0.0013869392 0.0010506853 0.0060633747 0.003490903 0.0026895988 0.00095732947 0.0018939133 0.0010234566 0.0013320494 0.0038388264 0.002527955 0.0015416679 0.0009940667 0.0039754026 0.0024609633 0.0052979435 0.000619779 0.0019496673 0.001080075 0.0015822949 0.0019842435 0.0016708965 0.00083328725 0.0038915551 0.002559938 0.0072592804 0.0047767065 0.0010083294 0.0010952022 0.0014457188 0.0010753209 0.0007295585 0.0006327451 0.0010394481 0.0020352437 0.0013030918 0.0011051429 0.002674904 0.0016600915 0.0013030918 0.009292795 0.0025046158 0.00422608 0.0019885655 0.0015542017 0.0028529714 0.011603352 0.0023174721 0.038046822 0.001616439 0.012289258 0.001740049 0.0011397192 0.0049189012 0.0069385855 0.0013450155 0.0024095313 0.0014470153 0.0014509052 0.0018031506 0.0014487442 0.0044443426 0.0014388035 0.0011410157 0.001512278 0.0016713287 0.0028175309 0.002027896 0.0009370159 0.001510117 0.008159127 0.000984126 0.0018048794 0.0014314561 0.00084711774 0.00090892275 0.0030638864 0.0010269141 0.00062885525 0.0010087616 0.0006941179 0.0028041326 0.000624101 0.0006513298 0.0004953045 0.0011237276 0.0003993555 0.00046548253 0.00045986392 0.0008289652 0.00053204177 0.0006781264 0.00045986392 0.0024142854 0.000768889 0.00049789774 0.0008168635 0.0006785586 0.00050524523 0.0010908801 0.00047801642 0.0041729193 0.0034191574 0.003951199 0.004751207 0.0044525545 0.0011341005 0.004076538 0.004920198 0.0029696664 0.0014794306 0.0009318295 0.0013108714 0.06322697 0.0016151423 0.0022414043 0.000883855 0.0018541506 0.00092577864 0.0011064395 0.0006189146 0.001622922 0.0009854226 0.0015118459 0.00094177015 0.0014232442 0.0008298296 0.00059687224 0.0007589483 0.0011168123 0.0013169223 0.00046807577 0.0005359316 0.001638049 0.00045208426 0.00053809263 0.00040713514 0.001182075 0.0018705742 0.0003868216 0.00034360134 0.010916581 0.003239793 0.0005195079 0.0017849981 0.006483476 0.0013584138 0.000913677 0.0006387959 0.004151309 0.0019194132 0.002042591 0.00079568557 0.0026507005 0.0006521942 0.0022206586 0.0019068792 0.0023300059 0.0013104392 0.001177753 0.0009599227 0.005252994 0.0023978618 0.004966444 0.14616844 0.015746098 5.1466315e-05 6.2711056e-06 1.0812251e-05 0.0 0.0 0.0 9.709402e-05 4.3249003e-07 1.9462052e-06 8.6498005e-07 8.6498005e-07 1.2974701e-06 5.1898805e-06 2.16245e-06 0.00090455293 0.0017868326 3.7842878e-05 4.9736354e-06 4.7573903e-06 2.8111851e-06 2.5949403e-06 1.9462052e-06 4.7573903e-06 2.8111851e-06 1.2974701e-06 3.6761653e-06 3.2436753e-06 4.1086555e-06 3.8924104e-06 3.8924104e-06 0.0025592598 0.0019442589 4.6708923e-05 9.947271e-06 1.1677231e-05 1.2542211e-05 6.2711056e-06 2.0327032e-05 1.4488416e-05 1.2542211e-05 7.1360855e-06 7.3523304e-05 8.001066e-06 1.7515846e-05 1.2325966e-05 1.8380826e-05 0.009298968 0.006794202 0.00035031693 6.227857e-05 4.6060188e-05 0.00020024288 6.552224e-05 0.00021213637 0.00012304341 0.00012044847 7.5902004e-05 0.00020521652 9.3850336e-05 0.00020067538 0.00013104448 0.000227706 0.030949635 0.0066287746 0.0021624502 0.0010920373 9.99052e-05 0.0002041353 7.7199475e-05 0.00022013743 5.773742e-05 3.503169e-05 7.6550736e-05 5.3845008e-05 5.2763786e-05 6.271106e-05 6.487351e-05 0.00010379761 0.013365888 0.0056223706 0.0020011314 0.0019172283 0.00013731558 0.00014207298 9.644528e-05 8.368682e-05 0.00012261093 0.00014834409 0.00013407192 5.6223704e-05 0.00012239467 0.0010833875 6.984714e-05 0.0001671574 0.008024853 0.009438663 0.0021284998 0.00130093 0.00018272705 0.00020305408 0.000498661 0.00011417737 0.0001887819 0.000112663656 0.0001998104 0.00019591798 0.0001978642 0.0007086349 0.00019332305 0.00017213104 0.008522 0.033039644 0.0014637625 0.0013182296 0.00061781204 0.001505714 0.0032237808 0.0011365839 0.0008385982 0.002526607 0.0013402866 0.0008738461 0.0009298536 0.001595672 0.0004861188 0.00054493744 0.011003195 0.013930071 0.0010167841 0.0009138514 0.00089460565 0.0020683836 0.002216944 0.0018184043 0.0019072811 0.0055507934 0.0012360566 0.0009733188 0.00057391427 0.0014401919 0.00053996383 0.00067165704 0.011191977 0.0063126246 0.001072359 0.00088941574 0.0011086882 0.002448326 0.0018690057 0.0025058473 0.0019427453 0.0046471055 0.0034670564 0.0023631256 0.00040762185 0.002826755 0.0004452485 0.0004817939 0.007956303 0.011271555 0.0013984565 0.0019604773 0.0022465694 0.0053825546 0.003654757 0.006519571 0.0045934767 0.0040327534 0.0056029083 0.0032058323 0.0004952011 0.00801923 0.0010500858 0.0010115942 0.0068711853 0.012765808 0.0025201195 0.00102911 0.0017976449 0.0036065343 0.0041722315 0.003034134 0.0022852772 0.0053228713 0.005814396 0.004391504 0.00064830255 0.010444635 0.0016778451 0.0014187836 0.0077156224 0.022986196 0.004507844 0.0017905087 0.003247135 0.0056182616 0.009659665 0.0037181168 0.004026266 0.013487418 0.007705891 0.004918493 0.0016428134 0.02364877 0.0019728034 0.0039544725 0.012004626 0.06913721 0.011619493 0.007063211 0.009127053 0.021570656 0.03341072 0.009945757 0.012527074 0.049978547 0.009655773 0.0073404373 0.005411099 0.04748135 0.007207879 0.019240834 0.040664658 0.015198565 0.0031591235 0.002862219 0.002297387 0.005004991 0.008082806 0.0036192928 0.0036746515 0.010893775 0.0024541647 0.0020045913 0.0016129715 0.008070048 0.0027608 0.004674569 0.009989655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4161.0 30.545782 127101.0 0.005696257 0.0010306764 0.03376055 0.0008733212 0.041691255 0.0038315984 0.0008575857 0.0011014863 0.0017781134 0.0021951047 0.002706509 0.0039496147 0.0076710647 0.0028166575 0.005837877 0.0028559964 0.0040676314 0.004303664 0.0044531515 0.0041384413 0.002903203 0.002376063 0.0034382106 0.0038630695 0.005350076 0.0045790356 0.021809427 0.011557737 0.0042564576 0.002376063 0.0022973856 0.013642694 0.043437894 0.010574267 0.0058457446 0.008623064 0.010228086 0.009504252 0.006498769 0.005554638 0.0073878253 0.00933903 0.0120691415 0.008135263 0.020936105 0.010377574 0.010826036 0.0117229605 0.014492411 0.010660813 0.007718271 0.01088111 0.006978702 0.009984186 0.012344513 0.0104326485 0.0066010496 0.0039653503 0.006892157 0.0050825723 0.005381547 0.0047206553 0.004885878 0.017631648 0.00319431 0.025043076 0.013469603 0.017592309 0.01453175 0.0290635 0.010220218 0.012517604 0.008591592 0.035758965 0.0064436942 0.0065302397 0.017490027 0.013453867 0.019606454 0.027615832 0.012486133 0.0072462056 0.03882739 0.028882543 0.03769443 0.012336645 0.008442105 0.008520783 0.006136852 0.006616785 0.004665581 0.0035719625 0.003918144 0.0033359297 0.0044531515 0.007962172 6.106622 5.0 2.0 0.0 6.0 2313728.0 2338816.0 1.0 0.0 592.0 0.0 1.0 0.0 1.0 0.0 1509142900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1275392.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 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 247808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1275392.0 0.0 758784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4389396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.663364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.283871 0.0 4.977297 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 247510.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1275198.0 0.0 758624.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -2.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 4.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 -1.0 2.0 1.0 1.0 2.0 -1.0 2.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 -1.0 3.0 -1.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 -2.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 2.0 -1.0 0.0 2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 2.0 0.0 2.0 1.0 2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -2.0 -1.0 2.0 2.0 0.0 0.0 2.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 2.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -2.0 -1.0 -2.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 3.0 0.0 2.0 0.0 0.0 -3.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 1.0 1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 2.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -3.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -2.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -2.0 1.0 1.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 2.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 -3.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 3.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -3.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 1506028.0 758624.0 1576960.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 1287360.0 0.0 0.0 0.0 0.0 24.0 1360728.0 64.0 1360656.0 0.0 0.0 3876.0 1282048.0 0.0 0.0 0.0 0.0


Input: 0.0066147563 0.0038989806 0.003836223 0.0039067753 0.003812039 0.0038698004 0.003801646 0.0039069755 0.003844817 0.003775064 0.0038588077 0.0038668022 0.003828628 0.003808841 0.003827029 0.003943151 0.003813838 0.0038116393 0.0037786616 0.0038875884 0.00376627 0.0038290278 0.0037946508 0.0038324255 0.0038438176 0.0037968492 0.0038833912 0.003856809 0.003859807 0.0038620054 0.00384042 0.0040500793 0.0038110397 0.0037826588 0.0038140377 0.0038749967 0.0038482149 0.0038028453 0.0038368225 0.003898381 0.0037726655 0.0038278284 0.0038318257 0.003873198 0.003792852 0.0038454167 0.0037832584 0.003955143 0.0038038446 0.0038608063 0.0037858568 0.003937155 0.0038178351 0.0038636045 0.0038841907 0.0038544107 0.0038304266 0.0038588077 0.0039451495 0.00394475 0.0038318257 0.0039169686 0.003934757 0.0041094394 0.003865803 0.0037702671 0.0037982482 0.0037700674 0.003871599 0.0038602068 0.0038332248 0.0039197668 0.0038060432 0.0038546105 0.0038324255 0.0038104402 0.0038656031 0.003846216 0.003821033 0.0038779948 0.003807642 0.0037970492 0.003794251 0.0039409525 0.0038230317 0.0038282282 0.0038811925 0.003952145 0.003827229 0.0038853898 0.003827229 0.0038759962 0.0038676017 0.0039025783 0.0038887875 0.004061871 0.0038114395 0.003873198 0.003886389 0.003942951 0.0038162363 0.0039437506 0.0038841907 0.0039019787 0.0038352234 0.0039369552 0.0039127716 0.00391457 0.0038975817 0.0039261626 0.0038951833 0.003957541 0.0038454167 0.0039245635 0.003902978 0.0039497465 0.0039735306 0.004059673 0.0038913859 0.003931159 0.0038588077 0.0039215656 0.0039031778 0.0039855223 0.003907975 0.0039661354 0.004028294 0.0041869874 0.0038092409 0.0038238312 0.00378086 0.0038690008 0.003837422 0.0038580082 0.0038324255 0.0038466158 0.003844817 0.0038877882 0.0037862563 0.003962138 0.0038757962 0.0039263624 0.0038897868 0.0040230975 0.0038338245 0.003827029 0.0038144374 0.003905976 0.0038608063 0.0038656031 0.0038310264 0.003916569 0.0038843905 0.0038662027 0.0038608063 0.003856609 0.0038931845 0.003913171 0.0038759962 0.004056075 0.0037828586 0.0037994476 0.0038048439 0.0038536112 0.0038408197 0.0037804602 0.003847615 0.0039139707 0.0038474153 0.0038973817 0.0038296273 0.003977528 0.00389998 0.0039233644 0.0039099734 0.0039423513 0.003858408 0.0038937842 0.0038755964 0.0039083743 0.0038468158 0.003901579 0.0038771953 0.003965736 0.0038753964 0.0038975817 0.0038855898 0.0039825244 0.003880793 0.0039351564 0.003943151 0.00406387 0.0039093737 0.003876196 0.0038690008 0.003812039 0.0039007794 0.0038024455 0.003935556 0.0039899196 0.0038857895 0.0038696004 0.0038859893 0.003879394 0.003883791 0.0039045769 0.0039243638 0.003962138 0.0038304266 0.0037770625 0.003898581 0.0039571417 0.0039099734 0.0039123716 0.0039243638 0.0039625377 0.0038684013 0.0038709994 0.0039747297 0.0039763288 0.003957741 0.003923164 0.0039123716 0.0040196995 0.003815037 0.0038700001 0.0038707997 0.00398932 0.003886589 0.0039125714 0.0038753964 0.003996715 0.00395934 0.00395994 0.0039053764 0.004072664 0.003921965 0.0039975145 0.0039109727 0.0040214984 0.003938954 0.004012904 0.003926762 0.00392976 0.0039269617 0.003960539 0.0040019117 0.004026495 0.004046082 0.004024696 0.0040448825 0.004086055 0.0042233625 0.0040804585 0.004202577 0.004900708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004433014 1.109503e-05 1.5792924e-05 9.695656e-06 1.0995074e-05 1.6492611e-05 2.3589431e-05 1.4993283e-05 1.7292254e-05 3.998209e-07 2.199015e-06 2.7987462e-06 5.6974477e-06 1.6992387e-06 1.8991492e-06 3.618379e-05 0.00051127095 8.096373e-06 1.4993283e-05 9.495746e-06 2.6088312e-05 1.589288e-05 6.98687e-05 6.347156e-05 3.1086074e-05 6.796955e-06 5.397582e-06 4.6978953e-06 9.19588e-06 4.2980746e-06 6.3971343e-06 3.178576e-05 9.2958355e-05 1.6992387e-06 8.296283e-06 4.59794e-06 5.1177074e-05 2.2090104e-05 0.00014773381 7.136803e-05 7.996418e-07 6.9968655e-07 8.9959696e-07 1.1994626e-06 1.5992836e-06 1.1994626e-06 1.3993731e-06 1.6992387e-06 0.0001446352 4.39803e-06 3.1985671e-06 4.39803e-06 3.2285538e-05 1.6792477e-05 9.8855715e-05 7.546619e-05 8.396239e-06 2.8987013e-06 2.5988356e-06 3.2985222e-06 3.5983878e-06 2.8987013e-06 2.4988806e-06 3.1985671e-06 0.00037783073 1.5393103e-05 1.2594358e-05 1.7092343e-05 2.8587194e-05 2.1990149e-05 1.859167e-05 4.3280612e-05 5.1976713e-05 1.8491715e-05 2.6688043e-05 2.468894e-05 3.468446e-05 3.428464e-05 3.238549e-05 6.0272996e-05 0.00046189307 1.4693417e-05 2.2489925e-05 2.3489476e-05 1.7891984e-05 2.1490372e-05 6.1372506e-05 7.356704e-05 6.477098e-05 6.0772774e-05 6.2372055e-05 6.0772774e-05 6.3671476e-05 5.4275686e-05 5.3276133e-05 0.00011145007 0.0006286184 8.2862876e-05 4.0681774e-05 7.45666e-05 0.00014283601 0.000119946264 7.996418e-05 0.00013983736 0.00021610319 7.336713e-05 8.226315e-05 7.9764264e-05 0.00015473067 9.745634e-05 0.00018641648 0.00025708482 0.0007403683 0.00015762939 9.5257325e-05 0.00012294493 0.00026758012 0.0002156034 0.000105752624 0.00024339095 0.00029476793 7.006861e-05 6.6870045e-05 6.6870045e-05 0.000160728 9.965536e-05 0.00020360878 0.00036423682 0.060925607 0.061215874 0.061143707 0.06192146 0.060831048 0.06151614 0.061731443 0.062513895 0.061173495 0.0618337 0.061607 0.062351868 0.061861385 0.06238485 0.062483106 0.06447472 23228.0 5.710608 132646.0 0.010396092 0.009913605 0.010780574 0.009747749 0.010667491 0.010381014 0.010418708 0.010720263 0.010350859 0.01060718 0.009921144 0.009627128 0.009446195 0.010237776 0.010916273 0.010335781 0.009981454 0.01001161 0.009883449 0.010154848 0.009634667 0.0098156 0.010245315 0.010486558 0.010245315 0.0102151595 0.010720263 0.010644875 0.010079459 0.010418708 0.010335781 0.010509175 0.009808061 0.010117154 0.010049304 0.01027547 0.010908735 0.010177465 0.010064382 0.010441325 0.010185003 0.010546869 0.010818268 0.009958838 0.010659952 0.010117154 0.009921144 0.009777905 0.010328242 0.009574356 0.0098156 0.010659952 0.010509175 0.009777905 0.009981454 0.0104262475 0.009868371 0.01040363 0.009906066 0.010064382 0.0096799 0.010524252 0.010237776 0.010358398 0.010079459 0.01206972 0.010916273 0.011157517 0.011014279 0.013569953 0.010652414 0.010554408 0.009928683 0.01167016 0.010102076 0.010539331 0.011655082 0.0109615065 0.011315833 0.0117078535 0.010599641 0.010034227 0.011353527 0.011225367 0.011858631 0.011029356 0.010004071 0.010599641 0.009785444 0.011089668 0.010064382 0.010328242 0.010154848 0.009694978 0.010290548 0.010200081 6.5824995 0.0 1.0 0.0 75.0 5003359.0 258048.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 5.625557 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 19448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 19448.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.1737275 0.012017286 0.005967496 0.0060356827 0.008986513 0.0045073642 0.0039477646 0.0034116772 0.009823562 0.002929669 0.0026193028 0.0026686795 0.0062519987 0.0024711736 0.0019092226 0.012146606 0.006621146 0.001596505 0.0015918026 0.0016740967 0.0035480503 0.0034116772 0.0024147434 0.0013049489 0.0030589884 0.0018739537 0.0012931926 0.0015871001 0.0024500121 0.0014930497 0.0011803322 0.0016200177 0.0051469067 0.0012743826 0.0013731355 0.0015142111 0.0037314487 0.0013660816 0.0012038448 0.001241465 0.0019374377 0.0010204465 0.0011121457 0.0029696405 0.001965653 0.0028215111 0.0016976092 0.0013919455 0.005847582 0.0026428155 0.0025134962 0.007914339 0.0025417113 0.002139646 0.0018880613 0.0019962192 0.0029860993 0.0028991029 0.002193725 0.0056853453 0.0028685364 0.0032447379 0.0022689654 0.0049541034 0.004751895 0.003336437 0.002555819 0.008161221 0.0070326165 0.0120713655 0.003308222 0.002130241 0.0024993888 0.0025863852 0.0013848918 0.0013613792 0.0021984274 0.005901661 0.0022971805 0.0015871001 0.008055414 0.0032165227 0.0015612362 0.0034257849 0.002330098 0.004441529 0.0042087543 0.0036656132 0.0026921919 0.004154675 0.0013566767 0.001650584 0.0018175235 0.004034761 0.0030025581 0.0026122492 0.0022407502 0.003428136 0.0015565336 0.0025487652 0.0029813969 0.0054713804 0.006990294 0.001803416 0.0042299153 0.0034375412 0.0050246413 0.0014201606 0.003679721 0.0019068713 0.0035668605 0.0035856704 0.0027133534 0.0011803322 0.004260482 0.004234618 0.010296165 0.009710701 0.002076162 0.002294829 0.0021631585 0.0018198747 0.0013002465 0.0011239019 0.0018480899 0.002983748 0.0021161335 0.0019985705 0.0045379307 0.002447661 0.0018692511 0.011610518 0.0035598066 0.010317326 0.0013919455 0.0013378665 0.0022501552 0.010162143 0.0016364765 0.02789299 0.0018339823 0.014568402 0.0010110415 0.0011638734 0.0018904125 0.00093344995 0.0011027406 0.0011662246 0.0015024547 0.0015400748 0.00090053235 0.00094285497 0.0014554295 0.0017446345 0.0009804751 0.0012908414 0.0017281756 0.0014648346 0.0010110415 0.0015941538 0.0024993888 0.0023982846 0.001260275 0.0015612362 0.0015330211 0.0013096514 0.0008746685 0.0008770197 0.0017211218 0.0009593138 0.0008582097 0.0009875289 0.0014013506 0.00082764326 0.0010039877 0.00094285497 0.0017634445 0.0010227978 0.00090758613 0.0009710701 0.0015635875 0.001631774 0.0023183418 0.0021960763 0.0028497262 0.0013472716 0.001377838 0.0011027406 0.0019115738 0.0021278898 0.0012696801 0.0017305269 0.008901868 0.0038207965 0.002682787 0.004603766 0.0028685364 0.0016905555 0.004236969 0.0033740571 0.003282358 0.0033881648 0.0014765909 0.001558885 0.003933657 0.0010745255 0.0018998175 0.0018433873 0.0026498693 0.0015706412 0.0017187706 0.0016247202 0.0016999604 0.0008393996 0.0013284616 0.0012273574 0.0022642626 0.001650584 0.0009898802 0.0018457386 0.0020056241 0.0015118597 0.0010651205 0.001260275 0.0031671464 0.0013049489 0.0010369053 0.00094990875 0.0028685364 0.0024406072 0.0011474146 0.0016764479 0.016385926 0.0045073642 0.001152117 0.0046366835 0.0047307336 0.0009898802 0.0013120027 0.0015447774 0.0061532455 0.0019703554 0.001685853 0.0016552865 0.00319301 0.0015118597 0.004079435 0.0036256418 0.0052362545 0.0019374377 0.002139646 0.0017093655 0.006256701 0.003536294 0.0049517523 0.05479375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018882568 1.061481e-05 1.061481e-05 9.199502e-05 8.255963e-06 2.9485584e-05 1.061481e-05 2.0050196e-05 1.1794233e-05 6.722713e-05 1.1794233e-05 1.1794233e-05 3.4203276e-05 1.061481e-05 1.7691349e-05 0.00018045177 0.006427857 0.0003585447 0.00037387718 3.892097e-05 0.00016158099 0.000106148094 0.001306801 0.00061919726 3.6562124e-05 2.9485584e-05 3.5382698e-05 2.830616e-05 3.302385e-05 3.4203276e-05 2.830616e-05 4.363866e-05 0.027697576 0.0007336013 0.0012773154 0.00047884588 0.002253878 0.0005920705 0.0026761114 0.0017137021 0.0002736262 0.0007052951 0.00024178177 0.0005472524 0.000507152 0.00031254717 0.00069114205 0.0027763625 0.021615291 0.0012678801 0.0009506152 0.0006085824 0.0020156344 0.000546073 0.0025510925 0.0015757096 0.0009341033 0.00064632396 0.0002523966 0.000353827 0.0007831371 0.00024414062 0.00058853225 0.001298545 0.023731176 0.0006416063 0.0016971901 0.0016099128 0.0034132511 0.0014931499 0.007070643 0.0038413818 0.0005283816 0.0012973656 0.00048474298 0.00042341297 0.0014212051 0.00029603526 0.0006935009 0.0020816822 0.021185981 0.0007748811 0.0014589466 0.001161732 0.00435679 0.0015061236 0.0061837165 0.0034887341 0.0005578672 0.0011723468 0.0016287836 0.0004859224 0.00068170665 0.00044110432 0.0007418573 0.002482686 0.013063293 0.0017101638 0.0017148815 0.014742792 0.0021949068 0.0016783194 0.0031997755 0.002231469 0.0020628113 0.001392899 0.001507303 0.0013421837 0.0016264247 0.0014896117 0.0017313934 0.003867329 0.014585928 0.0014212051 0.0016016569 0.0041185464 0.0039003529 0.0030723978 0.0025168892 0.0023918704 0.010454408 0.002192548 0.0013728488 0.0022161363 0.0035937028 0.0014141286 0.0038508172 0.01859125 0.06448379 0.010441435 0.0065575936 0.011572502 0.019392079 0.018000359 0.010135964 0.01417313 0.0430749 0.003513502 0.0037918459 0.006801734 0.018231526 0.0065151346 0.018597146 0.036987893 0.04912534 0.01118683 0.008327908 0.011380255 0.017994462 0.01811948 0.0102256 0.014147183 0.032031957 0.0030157855 0.0046009305 0.0058133774 0.016193481 0.0065516965 0.015387936 0.027105507 0.015279429 0.00811915 0.007720505 0.008770192 0.0075424123 0.0070730015 0.007968184 0.007912751 0.007806603 0.007185047 0.0070730015 0.008049564 0.007597845 0.007925725 0.0075872303 0.009239602 1666.0 13.284513 22132.0 0.035197902 0.0021688053 0.0032080247 0.0017169709 0.0071389843 0.0013555033 0.0020784384 0.0035243088 0.0041116937 0.0016717875 0.0014458703 0.002123622 0.004156877 0.0058738478 0.010708476 0.0058738478 0.022636905 0.014865354 0.011702512 0.011386228 0.011295862 0.0107536595 0.008539671 0.009217422 0.01219953 0.012877282 0.009849991 0.011069944 0.013871318 0.01102476 0.011295862 0.012109163 0.013058015 0.010121091 0.0023947225 0.011521778 0.008178203 0.005602747 0.0051960964 0.006325682 0.005105729 0.0055575636 0.0015814205 0.0017621544 0.007319718 0.004473161 0.0028013736 0.0034791252 0.0132387495 0.0029369239 0.0052412795 0.013103199 0.009985541 0.0028917405 0.008178203 0.01206398 0.015000904 0.002123622 0.004247244 0.0022591723 0.0042020604 0.0023043556 0.0026206397 0.0065515996 0.005693114 0.032215796 0.009127056 0.02295319 0.022230254 0.05507862 0.009398157 0.012018796 0.011702512 0.030995844 0.006913067 0.0045183445 0.02715525 0.011160311 0.02977589 0.037547443 0.015046087 0.002033255 0.036282305 0.027742635 0.048165552 0.013193565 0.0061449483 0.0058738478 0.007184168 0.008404121 0.002123622 0.0017169709 0.0037954093 0.0012651364 0.0018977047 0.0021688053 6.0316176 1.0 24.0 0.0 4.0 425304.0 434176.0 1.0 0.0 202.0 1.0 1.0 1.0 0.0 0.0 1491956400.0 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 233472.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233984.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6044054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.716959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7005746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.6299305 0.0 6.9886446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233883.0 0.0 67776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 1.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -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 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 -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 2.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 324024.0 67776.0 348160.0 0.0 0.0 13144.0 412160.0 12636.0 417792.0 84.0 307040.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 307128.0 0.0 0.0 848.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.48416564 0.006090134 0.0054811207 0.0036540804 0.0042630937 0.006090134 0.0042630937 0.0024360537 0.006699147 0.0036540804 0.003045067 0.0024360537 0.0042630937 0.0024360537 0.003045067 0.0036540804 0.009744215 0.0024360537 0.0012180269 0.0 0.003045067 0.003045067 0.0018270402 0.0018270402 0.003045067 0.0006090134 0.0024360537 0.0018270402 0.0018270402 0.0012180269 0.0012180269 0.003045067 0.009744215 0.003045067 0.0018270402 0.0 0.0042630937 0.0 0.0018270402 0.0018270402 0.0006090134 0.0012180269 0.0018270402 0.0006090134 0.0018270402 0.0006090134 0.003045067 0.003045067 0.003045067 0.0012180269 0.0012180269 0.0012180269 0.0018270402 0.0006090134 0.0006090134 0.0006090134 0.0012180269 0.0024360537 0.0006090134 0.0 0.0024360537 0.0006090134 0.0006090134 0.0018270402 0.0048721074 0.0018270402 0.0 0.0006090134 0.0018270402 0.0024360537 0.0018270402 0.0012180269 0.0024360537 0.0006090134 0.0012180269 0.0012180269 0.0024360537 0.0012180269 0.0012180269 0.0018270402 0.0048721074 0.0024360537 0.0006090134 0.0012180269 0.0006090134 0.0036540804 0.0 0.0018270402 0.0036540804 0.0018270402 0.003045067 0.0012180269 0.0 0.0012180269 0.0012180269 0.0018270402 0.0042630937 0.0018270402 0.0018270402 0.003045067 0.0036540804 0.0018270402 0.0006090134 0.0024360537 0.0048721074 0.0018270402 0.0036540804 0.0018270402 0.0012180269 0.003045067 0.0036540804 0.0024360537 0.0036540804 0.0 0.003045067 0.0024360537 0.0018270402 0.0054811207 0.0012180269 0.003045067 0.0012180269 0.0006090134 0.0006090134 0.0018270402 0.0012180269 0.0036540804 0.0018270402 0.0018270402 0.0018270402 0.003045067 0.0 0.0042630937 0.0012180269 0.003045067 0.0006090134 0.0006090134 0.0012180269 0.0018270402 0.0 0.0048721074 0.0012180269 0.0042630937 0.0006090134 0.0 0.0042630937 0.0006090134 0.0012180269 0.0012180269 0.0012180269 0.0012180269 0.0 0.0006090134 0.0018270402 0.0006090134 0.0 0.0012180269 0.0006090134 0.0036540804 0.0006090134 0.0006090134 0.0012180269 0.0 0.0 0.0006090134 0.010962241 0.003045067 0.0006090134 0.0 0.0006090134 0.0006090134 0.0 0.0018270402 0.0006090134 0.0 0.0012180269 0.0006090134 0.0024360537 0.0012180269 0.0012180269 0.0012180269 0.0012180269 0.0012180269 0.003045067 0.003045067 0.0018270402 0.0012180269 0.0024360537 0.0006090134 0.0012180269 0.0036540804 0.0024360537 0.0012180269 0.0054811207 0.0012180269 0.0024360537 0.0012180269 0.0024360537 0.0024360537 0.0018270402 0.0024360537 0.0048721074 0.0042630937 0.0012180269 0.006090134 0.0012180269 0.0012180269 0.0006090134 0.007308161 0.0024360537 0.0006090134 0.0 0.0 0.0024360537 0.0 0.0042630937 0.0024360537 0.0024360537 0.0012180269 0.0012180269 0.0006090134 0.0018270402 0.0012180269 0.0012180269 0.003045067 0.0036540804 0.0018270402 0.0 0.0006090134 0.0012180269 0.0018270402 0.0 0.0006090134 0.0024360537 0.0006090134 0.0 0.0036540804 0.0042630937 0.0006090134 0.003045067 0.0006090134 0.003045067 0.0024360537 0.0006090134 0.0 0.0006090134 0.0 0.0012180269 0.0012180269 0.0054811207 0.0012180269 0.0 0.003045067 0.0054811207 0.0012180269 0.0024360537 0.0054811207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.545676 0.038367845 0.035322778 0.020097442 0.026796589 0.029232644 0.042021923 0.033495735 0.02862363 0.01948843 0.021924483 0.029232644 0.04628502 0.02496955 0.02496955 0.033495735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 13.75 55.0 0.14545454 0.018181818 0.0 0.0 0.018181818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.036363635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018181818 0.0 0.0 0.0 0.0 0.0 0.0 0.018181818 0.0 0.0 0.0 0.018181818 0.018181818 0.0 0.0 0.018181818 0.018181818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.036363635 0.036363635 0.018181818 0.036363635 0.018181818 0.036363635 0.0 0.018181818 0.018181818 0.036363635 0.0 0.0 0.0 0.036363635 0.07272727 0.07272727 0.018181818 0.0 0.09090909 0.036363635 0.018181818 0.018181818 0.0 0.018181818 0.0 0.0 0.0 0.0 0.0 0.0 0.018181818 0.018181818 4.552092 0.0 0.0 0.0 1.0 1642.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1248676100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 8192.0 4096.0 4096.0 3.0 1.0 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 -7680.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.461743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 368.0 36964.0 100.0 36864.0 0.0 0.0 0.0 0.0 12.0 37332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.97598696 0.0003715336 0.00019372156 8.797017e-05 0.00021711788 9.73287e-05 6.55097e-05 0.00063825166 0.00016658181 0.00024706515 0.0002105669 0.00055776833 6.176629e-05 0.00011230235 4.3049233e-05 0.00021992544 0.00016190256 5.802288e-05 4.211338e-05 3.0883144e-05 7.486823e-05 0.00016845352 4.3049233e-05 3.556241e-05 9.358529e-05 5.2407762e-05 4.5856792e-05 4.6792644e-05 5.9894584e-05 4.6792644e-05 3.6498262e-05 4.6792644e-05 0.00015628744 3.462656e-05 3.3690703e-05 3.7434114e-05 0.00028169173 5.7087025e-05 2.6203881e-05 2.901144e-05 9.5457e-05 4.211338e-05 2.4332176e-05 2.7139735e-05 3.836997e-05 5.2407762e-05 6.083044e-05 1.2166088e-05 0.00017594034 2.4332176e-05 3.6498262e-05 6.831726e-05 5.2407762e-05 4.0241674e-05 2.1524616e-05 1.2166088e-05 6.738141e-05 3.556241e-05 2.901144e-05 0.00016564596 2.1524616e-05 3.462656e-05 1.2166088e-05 1.4037793e-05 0.00010668723 0.00020588764 5.3343614e-05 0.00026484637 0.00017594034 0.00013944208 0.00013195525 0.00013944208 0.00055964006 0.00025548783 1.4973646e-05 4.211338e-05 0.00018810644 0.00018997813 4.3985085e-05 5.8958733e-05 0.00015254402 1.6845352e-05 9.5457e-05 0.00020308008 0.00019652912 5.802288e-05 3.0883144e-05 0.00017313278 5.427947e-05 1.3101941e-05 2.0588765e-05 2.4332176e-05 0.00013850624 1.7781205e-05 1.4037793e-05 7.861164e-05 5.802288e-05 0.00040616016 7.393238e-05 0.00021337446 0.00024612932 0.00095082656 0.00013195525 0.00014224964 0.00011698161 0.0003677902 3.0883144e-05 6.176629e-05 0.0003574958 0.00023489908 0.00039492993 0.0005746137 0.00023583493 3.556241e-05 0.00042019796 0.00035843166 0.00086753565 0.00018436302 0.0003200617 0.00019840081 0.00024800102 0.00013850624 4.866435e-05 2.8075587e-05 6.176629e-05 2.1524616e-05 2.7139735e-05 2.1524616e-05 0.00021805373 1.6845352e-05 2.6203881e-05 0.00014599305 0.00011885332 0.00011698161 9.358529e-06 1.6845352e-05 3.462656e-05 0.0002246047 2.1524616e-05 0.0003041522 4.3049233e-05 0.00012353258 1.59095e-05 9.358529e-06 0.00058865146 1.3101941e-05 7.486823e-06 5.6151175e-06 2.246047e-05 1.0294382e-05 7.486823e-06 6.5509703e-06 4.117753e-05 2.3396322e-05 2.9947292e-05 9.358529e-06 2.9947292e-05 1.59095e-05 1.6845352e-05 2.3396322e-05 6.738141e-05 7.486823e-06 1.59095e-05 7.486823e-06 2.0588765e-05 6.5509703e-06 1.4037793e-05 7.486823e-06 3.3690703e-05 1.2166088e-05 2.5268027e-05 1.0294382e-05 2.0588765e-05 8.422676e-06 1.59095e-05 1.6845352e-05 4.5856792e-05 8.422676e-06 1.4973646e-05 1.6845352e-05 1.7781205e-05 2.3396322e-05 1.0294382e-05 1.4037793e-05 4.6792644e-05 4.5856792e-05 7.486823e-05 3.836997e-05 2.8075587e-05 3.0883144e-05 1.59095e-05 1.965291e-05 0.000107623084 2.246047e-05 1.59095e-05 7.112482e-05 5.802288e-05 8.14192e-05 2.1524616e-05 6.270214e-05 4.6792644e-05 3.1819e-05 1.1230235e-05 5.802288e-05 9.73287e-05 2.6203881e-05 3.836997e-05 3.7434114e-05 4.5856792e-05 8.422676e-06 3.0883144e-05 1.965291e-05 2.246047e-05 9.358529e-06 1.59095e-05 2.3396322e-05 5.147191e-05 1.4037793e-05 9.358529e-06 2.4332176e-05 2.7139735e-05 1.4973646e-05 2.1524616e-05 1.6845352e-05 5.3343614e-05 2.5268027e-05 9.358529e-06 8.422676e-06 1.2166088e-05 5.6151175e-06 1.59095e-05 8.422676e-06 6.270214e-05 4.211338e-05 7.486823e-06 4.3985085e-05 4.77285e-05 7.486823e-06 1.7781205e-05 1.8717057e-05 6.457385e-05 1.2166088e-05 1.2166088e-05 2.246047e-05 2.8075587e-05 7.486823e-06 2.7139735e-05 2.246047e-05 4.9600203e-05 2.5268027e-05 2.901144e-05 1.3101941e-05 3.7434114e-05 5.802288e-05 0.0011014988 0.00034252217 0.9529732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8744001e-06 0.0045946236 2.3430002e-05 3.2802004e-06 8.903401e-06 9.840601e-06 7.0290007e-06 7.0290007e-06 3.4207802e-05 4.6860005e-06 2.8116003e-06 5.6232007e-06 2.8116003e-06 1.3120802e-05 5.1546003e-06 6.0918005e-06 6.9821406e-05 0.0008823739 4.2174004e-05 2.3430002e-06 2.8116003e-06 2.8116003e-06 2.8116003e-06 2.8116003e-06 2.8116003e-06 2.3430002e-06 2.3430002e-06 2.3430002e-06 2.3430002e-06 2.3430002e-06 2.3430002e-06 2.3430002e-06 2.3430002e-06 0.0025252856 4.0299605e-05 1.5463802e-05 1.8275401e-05 3.3739205e-05 2.7178803e-05 6.185521e-05 5.8106405e-05 4.6860005e-06 4.2174006e-06 7.0290007e-06 2.4367202e-05 6.560401e-06 8.903401e-06 1.1715001e-05 3.1396205e-05 0.004016371 8.997121e-05 2.8584604e-05 4.1236803e-05 5.0140206e-05 3.7019403e-05 9.840601e-05 8.7159606e-05 0.00010356061 2.3898603e-05 1.8744002e-05 2.0618401e-05 2.8584604e-05 1.4995201e-05 1.0777801e-05 0.00012839641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072961027 7.075861e-05 6.4198204e-05 6.0918005e-06 7.0290007e-06 8.434801e-06 7.0290007e-06 7.4976006e-06 6.560401e-06 7.4976006e-06 5.6232007e-06 8.903401e-06 7.9662e-06 7.9662e-06 6.560401e-06 7.9662e-06 0.0019025162 6.794701e-05 0.00013120801 2.7178803e-05 0.00010777801 9.1845606e-05 0.00021977343 0.00012043021 0.00010590361 1.6869602e-05 1.7806802e-05 1.4058001e-05 1.3120802e-05 1.6401002e-05 1.2183601e-05 1.4058001e-05 0.0017900522 0.00010824661 4.2642605e-05 5.2483207e-05 4.5922803e-05 3.8893802e-05 0.00010496641 0.00018650282 1.9681202e-05 4.1236803e-05 2.5304402e-05 7.169581e-05 6.5135406e-05 3.5613604e-05 3.3270604e-05 0.00021743042 0.0048392327 0.00014948341 0.00022258502 0.00022773963 0.0011569735 0.0006157405 0.0027267837 0.0015768391 0.00024039182 0.00017197622 5.0608804e-05 7.169581e-05 0.00010730941 5.1546005e-05 7.169581e-05 0.00019540622 0.001575902 5.6700606e-05 5.0608804e-05 7.122721e-05 0.00020430962 0.00012417902 0.00048453244 0.00045454205 3.8893802e-05 4.9203005e-05 4.3579803e-05 8.387941e-05 0.00013167661 4.4048404e-05 2.7647402e-05 0.00039784145 0.001704767 0.00012043021 0.000119024415 7.685041e-05 0.00018790862 0.00012324181 0.00032380264 0.00027085084 0.000114338414 0.00011996161 4.8265803e-05 6.0449405e-05 0.00013027081 4.0299605e-05 4.4048404e-05 0.00035426163 0.00032145964 4.6391404e-05 4.6391404e-05 1.9681202e-05 8.434801e-05 3.4676403e-05 0.00018369121 0.00010918381 6.560401e-06 7.4976006e-06 9.840601e-06 9.840601e-06 7.9662e-06 5.6232007e-06 9.372001e-06 5.7169207e-05 0.0015163898 0.00021508742 0.00027366242 0.00025913582 0.0006752527 0.00017525641 0.00012043021 0.00029474942 0.00079896307 0.00039924725 4.7797206e-05 7.872481e-05 0.00026147882 0.00012324181 0.00014760901 0.00037113123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 494.0 15.200405 7509.0 0.0026634706 0.00026634705 0.0 0.0 0.0019976029 0.0 0.0 0.0 0.00039952056 0.00013317353 0.0 0.0 0.0 0.0037288587 0.0023971235 0.0 0.00066586764 0.0010653882 0.0007990411 0.00093221467 0.0 0.0 0.0 0.0 0.00026634705 0.00039952056 0.00026634705 0.00066586764 0.0 0.00013317353 0.00013317353 0.0 0.0005326941 0.015181782 0.0035956851 0.029031828 0.00945532 0.011985618 0.012917832 0.01584765 0.0037288587 0.023971235 0.0 0.0030629912 0.009988015 0.012518311 0.0037288587 0.0039952057 0.009588494 0.00093221467 0.008523106 0.019576509 0.016779864 0.0054601147 0.003329338 0.020242376 0.00026634705 0.0 0.0 0.00039952056 0.0015980822 0.0010653882 0.0007990411 0.0079904115 0.00039952056 0.047010254 0.0070581967 0.025036622 0.023838062 0.12185378 0.010787056 0.015448129 0.008656279 0.043947265 0.0014649088 0.0051937676 0.034891464 0.02796644 0.048608337 0.0518045 0.017445732 0.00066586764 0.048208818 0.03555733 0.09628446 0.018244773 0.0054601147 0.0074577173 0.010121188 0.011852444 0.0013317353 0.0 0.00039952056 0.0 0.0 0.0 5.0519934 0.0 0.0 0.0 1.0 1068544.0 1085440.0 1.0 71.0 355.0 1.0 1.0 0.0 0.0 0.0 1505316600.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 653824.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 95744.0 0.0 0.0 0.0 0.0 37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -653824.0 0.0 265728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7943903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.31462285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.15960705 0.0 0.070003256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 95500.0 0.0 0.0 0.0 0.0 37272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -653554.0 0.0 265448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 1.0 1.0 -1.0 2.0 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 -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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 -3.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 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 1.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 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 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 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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 3.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 2197.0 662464.0 200.0 722820.0 265448.0 811008.0 37272.0 770048.0 0.0 0.0 6660.0 1077248.0 56.0 657556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2912.0 659456.0 64.0 722600.0 0.0 0.0


Input: 0.09519784 0.061819807 0.019064832 0.0069185323 0.008230332 0.0038285137 0.0062091886 0.004654462 0.0046836133 0.003925684 0.011504975 0.005052861 0.0032454913 0.0052763526 0.0064326804 0.0031386039 0.0033232276 0.004372668 0.004129742 0.0037702115 0.0029539801 0.0030122823 0.0036536069 0.005665034 0.0027207711 0.0030219993 0.0036244558 0.0030608675 0.0033037935 0.0028470927 0.004314366 0.004440687 0.005052861 0.004664179 0.0043435167 0.0032163402 0.003430115 0.0029539801 0.0023320895 0.0029442632 0.0051500313 0.0040422888 0.003468983 0.0031094528 0.0032163402 0.002924829 0.005052861 0.0030414334 0.0042560636 0.0029539801 0.002681903 0.003702192 0.003400964 0.002652752 0.002419543 0.003128887 0.0029151118 0.0022446362 0.002419543 0.0025652985 0.0023709578 0.0031191697 0.0029928482 0.0029831312 0.0025264304 0.0049945586 0.0033912468 0.0033329446 0.004576726 0.0035855877 0.0049459734 0.0050139925 0.0030317164 0.004654462 0.0025167132 0.0028568096 0.0034592662 0.003158038 0.0030414334 0.006199471 0.0039354013 0.0028276586 0.003400964 0.0037410604 0.0036050219 0.0048002177 0.0025458643 0.0023709578 0.004712764 0.0033135107 0.0025361474 0.0021377488 0.0025652985 0.0021668999 0.0040714396 0.002963697 0.0023612406 0.0057427706 0.0037702115 0.004110308 0.003410681 0.012894512 0.0037604943 0.0044115363 0.0028179416 0.0063063586 0.002438977 0.0025652985 0.005665034 0.0047321985 0.0057136193 0.010679027 0.0040908735 0.0027207711 0.0073849503 0.008026275 0.008230332 0.0047419155 0.0024875621 0.0027499222 0.0033523787 0.004314366 0.0027596394 0.0050917286 0.0025069963 0.003177472 0.0026236007 0.002448694 0.0027693564 0.0023126556 0.0032552083 0.002730488 0.0023223725 0.0025458643 0.0022835045 0.0018753887 0.0022932214 0.002652752 0.0038285137 0.003128887 0.00242926 0.0022640703 0.0025652985 0.0029734143 0.002458411 0.0020211444 0.0028373757 0.0036244558 0.0028568096 0.0023029384 0.002672186 0.0023515236 0.0034592662 0.0035370025 0.002672186 0.0020017102 0.0021280318 0.002419543 0.0028665268 0.0028762438 0.0033815298 0.0028082244 0.002934546 0.0029539801 0.0021085977 0.0023029384 0.003400964 0.0019045398 0.002924829 0.0018948228 0.0017782183 0.0021085977 0.0034787003 0.0028665268 0.0025069963 0.001982276 0.0020308613 0.0025652985 0.0036827582 0.002730488 0.0030317164 0.0029151118 0.0020017102 0.0019239739 0.0018753887 0.002652752 0.0022446362 0.0017685012 0.002701337 0.0022543531 0.0021280318 0.002438977 0.0017976523 0.0023029384 0.002701337 0.0027110542 0.0020211444 0.0023806747 0.0021766168 0.0026430348 0.0016033115 0.0022932214 0.0028179416 0.0022835045 0.0030025654 0.001991993 0.0023806747 0.0024098258 0.0029151118 0.0030608675 0.0022640703 0.0040908735 0.0021280318 0.001933691 0.0025652985 0.002419543 0.0019725591 0.0016421797 0.0020405783 0.0022835045 0.0024972793 0.0018559546 0.0025652985 0.0021280318 0.0017587842 0.0022057681 0.0020794466 0.0024875621 0.002157183 0.00269162 0.002438977 0.002672186 0.0028665268 0.0030025654 0.001962842 0.00269162 0.0035758705 0.0021085977 0.0024972793 0.003400964 0.002196051 0.0024972793 0.002448694 0.0028568096 0.002934546 0.0024001088 0.0024778452 0.0025847326 0.001991993 0.002701337 0.0029442632 0.003896533 0.0025847326 0.0025555815 0.0027887905 0.0038479478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026377052 0.0033686473 0.002584438 0.00088285195 0.002692945 0.0018939395 0.0129123265 0.009011009 0.00021208175 6.411774e-05 0.00012823548 5.9185608e-05 8.384627e-05 4.9321337e-05 8.384627e-05 0.00020221749 0.067136206 0.008606574 0.0073982007 0.002244121 0.0037829466 0.0020961568 0.005869239 0.0061257104 0.0009617661 0.0018100931 0.00044389206 0.0005376026 0.000700363 0.00044882417 0.0011047979 0.001844618 0.05124487 0.003575797 0.004596749 0.0017361111 0.0066090594 0.005795257 0.009593001 0.0055930396 0.0019038037 0.0015881471 0.0021997318 0.0020320392 0.0003205887 0.0015634864 0.0010110874 0.0016473327 0.031866517 0.0030677873 0.002761995 0.0016670612 0.004271228 0.0026288272 0.0043106847 0.0024512706 0.00080393784 0.0018742109 0.0006461095 0.0011689158 0.00044882417 0.0007200915 0.0007694129 0.0011491872 0.013252644 0.0010900015 0.0012774226 0.0012478299 0.0012823548 0.001292219 0.004458649 0.0025647096 0.0007200915 0.00043402778 0.0004241635 0.00042909564 0.00047841697 0.00041429925 0.0004981455 0.00043895992 0.0035560685 0.00038470645 0.0005967882 0.00048828125 0.0007792771 0.00048828125 0.001287287 0.0008532592 0.00015782828 0.0003205887 0.000118371216 0.00018248895 0.00017262468 0.00012823548 0.00028606376 0.00030086018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049059935 0.03875671 0.039836846 0.038825758 0.04257418 0.03816485 0.04257911 0.04005879 0.038081005 0.037632182 0.037962634 0.035092134 0.035836883 0.035605073 0.037434895 0.038761638 654.0 13.267584 8677.0 0.016365103 0.0035726633 0.003918405 0.00288118 0.003457416 0.0031116745 0.0014982136 0.00288118 0.0025354386 0.0009219776 0.0020744498 0.0032269217 0.008528293 0.0055318656 0.026622104 0.0035726633 0.0131381815 0.009104529 0.003457416 0.006914832 0.0059928545 0.0065690908 0.004379394 0.004494641 0.0029964272 0.0035726633 0.002189697 0.0016134608 0.0029964272 0.009565518 0.0055318656 0.00288118 0.002189697 0.014290653 0.011063731 0.011409474 0.013829664 0.0046098884 0.0058776075 0.008067304 0.0018439553 0.0088740345 0.004494641 0.0023049442 0.004033652 0.0047251354 0.0033421689 0.0031116745 0.01152472 0.0027659328 0.009796012 0.014866889 0.014751642 0.0041488996 0.004494641 0.003918405 0.004840383 0.003918405 0.0041488996 0.0025354386 0.004379394 0.0020744498 0.0018439553 0.010602742 0.0020744498 0.029964274 0.016365103 0.018093811 0.011294226 0.08194076 0.00783681 0.017748069 0.00495563 0.0412585 0.0024201914 0.0065690908 0.030194769 0.024432408 0.039760284 0.045522645 0.011985709 0.0033421689 0.04298721 0.04333295 0.060735278 0.029042296 0.0042641466 0.006799585 0.008182552 0.014521148 0.0013829664 0.0016134608 0.0025354386 0.0023049442 0.0019592026 0.0038031577 5.779771 0.0 0.0 0.0 3.0 102912.0 131072.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541102700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 100352.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100352.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4654055 0.0 4.22837 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 -99928.0 0.0 1484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 108032.0 1484.0 114688.0 0.0 0.0 0.0 0.0 12.0 122880.0 28.0 107720.0 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