Input: 0.23489024 0.010256901 0.0048288917 0.0045892447 0.00953796 0.0031992907 0.0030914494 0.0028518022 0.011119632 0.002084931 0.0018093367 0.0018932131 0.007213382 0.0022886312 0.0015816718 0.008986771 0.0068299463 0.0012222009 0.00082678295 0.0008028183 0.00238449 0.003343079 0.0011622891 0.00070695934 0.0033670438 0.0009945361 0.0009226419 0.0014738305 0.0022407016 0.0010304832 0.0006829946 0.0012222009 0.0057635163 0.0009226419 0.0009825537 0.0012940951 0.0049487157 0.0010664302 0.00064704753 0.0011862539 0.0022047546 0.0010664302 0.0008507477 0.0020370015 0.0011383244 0.006458493 0.001389954 0.0005751534 0.0063027223 0.0027319784 0.0030075728 0.0080162 0.0034868673 0.0040021087 0.0026361197 0.0013659892 0.0026600843 0.0023725077 0.0017134778 0.004960698 0.0028038728 0.004229774 0.0026241373 0.0044933856 0.015001917 0.013144651 0.0011023773 0.0027559432 0.0040260735 0.01024492 0.0024324195 0.0016415836 0.007680694 0.0013300421 0.0009705713 0.00061110046 0.002048984 0.0036666028 0.0012461656 0.00083876535 0.0062428107 0.0023725077 0.00093462423 0.0035827262 0.0019051955 0.0043256325 0.00476898 0.0034868673 0.0019291603 0.005691622 0.00082678295 0.0014977952 0.0009705713 0.005919287 0.0036186734 0.0026720667 0.0018812309 0.005200345 0.0069377874 0.0033910084 0.0036306556 0.007992235 0.0063746166 0.0010903949 0.0040021087 0.00370255 0.0049127685 0.0012940951 0.0040500383 0.0019291603 0.0038942676 0.004864839 0.0032352377 0.0005272239 0.006158934 0.005368098 0.015061829 0.012389762 0.002048984 0.0013180599 0.0016056366 0.0017853719 0.0011503068 0.00039541794 0.0010664302 0.0019890722 0.00093462423 0.0024324195 0.0027080139 0.0023006136 0.00055118866 0.012761216 0.002048984 0.007345188 0.00044334738 0.0005152416 0.0016535659 0.0075249234 0.0013540069 0.028146569 0.0010903949 0.0063746166 0.0003714532 0.00046731211 0.0012821127 0.00032352377 0.00023964724 0.00029955906 0.00083876535 0.0008148006 0.00041938268 0.0002875767 0.00077885354 0.00033550613 0.0002875767 0.0018812309 0.00071894174 0.0007908359 0.0005991181 0.0003714532 0.0011503068 0.0015577071 0.00043136504 0.006027128 0.00083876535 0.00044334738 0.0002875767 0.00029955906 0.001258148 0.00053920626 0.00027559433 0.00038343557 0.00064704753 0.0004074003 0.00041938268 0.0004074003 0.0013420245 0.00044334738 0.00022766487 0.00039541794 0.00088669476 0.0006230828 0.00077885354 0.0009825537 0.0015816718 0.0007429064 0.00093462423 0.00046731211 0.0007309241 0.0007548888 0.00064704753 0.00071894174 0.007944306 0.0035228145 0.0019651074 0.006877876 0.0026720667 0.0010065184 0.0023006136 0.003642638 0.0028997315 0.0023605253 0.00077885354 0.0006230828 0.004097968 0.001126342 0.0013779716 0.0010065184 0.0039541796 0.002312596 0.0014259011 0.0015097776 0.0013420245 0.00043136504 0.0013659892 0.0013300421 0.002684049 0.0026960315 0.0009825537 0.0015457247 0.0014738305 0.0027918904 0.00088669476 0.00093462423 0.0033071318 0.001126342 0.00067101227 0.0007429064 0.0019291603 0.0017733895 0.0005751534 0.00046731211 0.013839628 0.0024084547 0.00093462423 0.005451975 0.005691622 0.000563171 0.00076687115 0.0006350652 0.0036785852 0.00093462423 0.0009226419 0.0015696894 0.002156825 0.00055118866 0.004014091 0.0030555022 0.004505368 0.0016535659 0.0010664302 0.0011023773 0.0047809626 0.0017374424 0.0039182324 0.06656202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010046387 3.6621095e-05 0.00018310547 0.00017089843 0.0007568359 0.00022583008 0.00044555665 0.00033569336 2.4414063e-05 2.4414063e-05 1.8310548e-05 0.0 6.1035157e-06 6.713867e-05 8.544922e-05 7.324219e-05 0.00925293 0.00033569336 0.0005065918 0.00015258789 0.00069580076 0.00023193359 0.00042114258 0.00034790038 5.493164e-05 1.8310548e-05 8.544922e-05 3.0517578e-05 1.8310548e-05 0.00010375977 6.1035156e-05 0.00018310547 0.030529786 0.00036621094 0.0026245117 0.00036010743 0.0022949218 0.0007385254 0.0059692385 0.0033081055 0.00025634764 0.00016479492 0.00053100585 6.1035156e-05 4.272461e-05 0.000115966795 0.00018920898 0.0024475097 0.022515869 0.00045776367 0.0018066406 0.0003845215 0.0023620606 0.00081787107 0.0042907717 0.002709961 0.0001953125 0.00018310547 0.00023803712 0.00014038086 0.00023803712 0.00026245118 0.00010986328 0.0007873535 0.050323486 0.0015136718 0.0049011232 0.0016662597 0.010729981 0.0029052733 0.014556885 0.007904053 0.0007873535 0.0010498047 0.0021789551 0.0006469727 0.00079345703 0.00095214846 0.0008239746 0.010766601 0.027008057 0.001550293 0.0018676758 0.0018554687 0.007751465 0.002520752 0.0076049804 0.0030090332 0.00067749026 0.0011230469 0.0031738281 0.00034179687 0.00056762696 0.0011779785 0.0010620117 0.0137084965 0.019970704 0.0019104003 0.0032714843 0.016363526 0.0036865235 0.002166748 0.0079223635 0.005200195 0.0020446777 0.0011535644 0.000994873 0.0011962891 0.002105713 0.002581787 0.0014770508 0.0029541017 0.014428711 0.0010864257 0.002203369 0.006512451 0.0024658204 0.0014282226 0.004760742 0.0029785156 0.0021362305 0.000982666 0.0014404297 0.00091552734 0.0014892578 0.000994873 0.0012023926 0.0049743652 0.0477417 0.006591797 0.0053283693 0.009484863 0.011657715 0.0112854 0.007116699 0.011083985 0.021008302 0.0022766113 0.0027221679 0.0030578612 0.011804199 0.005932617 0.010180664 0.02022705 0.07630005 0.015509034 0.010046387 0.016583253 0.027185058 0.028985595 0.012469483 0.021209717 0.04949951 0.002960205 0.004003906 0.0057128905 0.027618408 0.015557861 0.02619629 0.047662355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 415.0 14.990361 6221.0 0.033113647 0.001125221 0.005947597 0.00096447516 0.010126989 0.0008037293 0.0014467128 0.007233564 0.003536409 0.0014467128 0.0008037293 0.0012859668 0.0036971548 0.0048223757 0.011895194 0.0032149171 0.014467128 0.011412956 0.01398489 0.0149493655 0.018164283 0.021057708 0.013824144 0.00466163 0.0091625145 0.009805498 0.0075550554 0.0064298343 0.01398489 0.014145636 0.011573702 0.0091625145 0.007876547 0.008841022 0.0025719337 0.010609227 0.0054653594 0.005786851 0.005786851 0.0056261052 0.0061083427 0.0062690885 0.0012859668 0.001125221 0.008037293 0.0041793925 0.0019289503 0.0032149171 0.015592349 0.0025719337 0.0054653594 0.009966243 0.008841022 0.0025719337 0.0062690885 0.0075550554 0.006912072 0.0020896962 0.0028934255 0.002250442 0.0038579006 0.0014467128 0.0019289503 0.00659058 0.008680277 0.038257513 0.00851953 0.029095002 0.029416492 0.06220865 0.009001768 0.007876547 0.009001768 0.029255746 0.0033756632 0.0020896962 0.030702459 0.009484006 0.023951134 0.035364088 0.015110111 0.0019289503 0.045008842 0.029255746 0.055618066 0.018003536 0.008037293 0.0024111879 0.009001768 0.009805498 0.0024111879 0.0014467128 0.003536409 0.0014467128 0.0008037293 0.0025719337 5.91255 0.0 0.0 0.0 4.0 83456.0 102400.0 1.0 0.0 68.0 1.0 1.0 0.0 0.0 0.0 1470668200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 45568.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5066905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.894556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.125862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.870842 0.0 3.929476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45695.0 0.0 5480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 75292.0 5480.0 90112.0 0.0 0.0 12096.0 83456.0 3864.0 98304.0 56.0 72592.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 53984.0 0.0 0.0 280.0 53248.0 64.0 75196.0 0.0 0.0


Input: 0.16747908 0.013705019 0.006468592 0.0046070074 0.025636837 0.002502762 0.002099116 0.002154356 0.012073469 0.00136482 0.0011466225 0.0011904198 0.0073303347 0.0013131313 0.0008353062 0.012010338 0.0063553504 0.0009883996 0.00074139837 0.0008475379 0.0046859216 0.0011182134 0.0007986111 0.0008368845 0.0040096277 0.0006573548 0.0006885259 0.00084438134 0.0054202178 0.00079663825 0.00071535667 0.0008203125 0.006965357 0.00070549245 0.00055397727 0.00043876262 0.04638139 0.0010696811 0.003167219 0.0023390152 0.002463305 0.0014942393 0.0006052715 0.0007883523 0.0027477904 0.0011880524 0.001233428 0.00063407514 0.0022889047 0.004263731 0.001012863 0.001012863 0.0027284564 0.00075047347 0.00052911934 0.0005251736 0.0019373422 0.002544981 0.0010677084 0.0011012468 0.002421086 0.000976957 0.00053148676 0.00046204228 0.0053322287 0.002770281 0.0018513257 0.0042128316 0.020906724 0.016616557 0.0016603535 0.0017696496 0.0031384155 0.0011758207 0.0009635417 0.0011987058 0.003255603 0.0037298768 0.001473327 0.000984454 0.0033996212 0.00079584913 0.0012006786 0.0033222854 0.0045079705 0.0044274777 0.0019574652 0.0015463226 0.0017357166 0.0007453441 0.00052833016 0.0028413036 0.0029375788 0.0027560764 0.0023634785 0.0040254104 0.0021843435 0.0033065025 0.002475931 0.003378709 0.003928346 0.007645202 0.006702178 0.0011675347 0.0016327336 0.0030034722 0.00044783775 0.00073824177 0.0030934343 0.0014461017 0.0028136838 0.0028673452 0.002386758 0.0005808081 0.002893387 0.0028219698 0.012363479 0.004422743 0.0019791666 0.0010913826 0.0018114741 0.00096117426 0.00044389206 0.0005705492 0.0025145991 0.0013127368 0.0009497317 0.00081873423 0.0030898831 0.0012247475 0.0004580966 0.015591856 0.005737847 0.017606534 0.0006987847 0.00061750313 0.002493687 0.038210228 0.00078756316 0.034328837 0.0010191761 0.016775569 0.00091303664 0.0005658144 0.017918639 0.00032630996 0.00039891098 0.000499132 0.0011485954 0.0011572759 0.0003973327 0.0003732639 0.0012062027 0.00037010733 0.0003555082 0.00034682764 0.0014322917 0.00080847536 0.00037089645 0.00034643308 0.0020438763 0.00091224746 0.00035748107 0.00049518625 0.0011635891 0.00044902146 0.00036339962 0.0002896149 0.0026747948 0.00036892362 0.00038431186 0.00037918246 0.0015526357 0.0005224116 0.00033735795 0.00034051453 0.0021188448 0.00038589016 0.00039772727 0.00044231376 0.002196575 0.000708649 0.0025244635 0.0007824337 0.0034639363 0.00073903095 0.00079821656 0.0005780461 0.0028251263 0.00086253154 0.00072837755 0.00086608273 0.0101649305 0.0029580966 0.0019598326 0.004406171 0.003310843 0.00109375 0.0023259944 0.02290404 0.0017175663 0.0018592172 0.00055121526 0.00072837755 0.0010815184 0.00042692552 0.0005200442 0.0004837437 0.0027355587 0.0010022096 0.0020036302 0.00071338384 0.0011257102 0.0004904514 0.00059895834 0.0004537563 0.0024175348 0.00070351956 0.00057173293 0.0012890626 0.001049558 0.00054490217 0.0011371528 0.00046638257 0.0017716225 0.00051767676 0.0007082544 0.00045612373 0.0011024305 0.001166351 0.0004782197 0.00052754104 0.017846039 0.005898832 0.0007879577 0.003284012 0.006257891 0.00063525885 0.0004458649 0.00057607325 0.002475142 0.0006072443 0.0006253946 0.0010641572 0.0035341699 0.000929214 0.002477904 0.0021109532 0.003275726 0.0014468908 0.0018828914 0.0018248896 0.0029324496 0.0026830807 0.007043876 0.06414536 0.008486304 0.0 3.947302e-07 0.0 0.0 3.947302e-07 7.894604e-07 0.0 3.947302e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039098025 0.0 0.0 1.3815556e-06 1.973651e-07 1.1841906e-06 5.920953e-07 0.0 0.0 0.0 1.973651e-07 1.973651e-07 7.894604e-07 0.0 1.973651e-07 8.486699e-06 0.00075353996 1.7762859e-06 1.5789208e-06 1.1841906e-06 1.3815556e-06 1.1841906e-06 1.894705e-05 1.973651e-06 1.5789208e-06 1.1841906e-06 0.0 1.3223462e-05 1.1841906e-06 1.1841906e-06 5.723588e-06 2.7631113e-06 0.0022620014 6.749886e-05 1.1052445e-05 2.1710161e-06 2.5657462e-06 1.973651e-07 4.3420323e-06 2.5065367e-05 0.0 0.0 7.894604e-07 0.0 0.0 0.0 0.0 0.00045374237 0.0022446332 9.138004e-05 2.4868003e-05 1.4407652e-05 3.651254e-05 1.7762859e-06 3.1578416e-05 4.3815053e-05 0.0 0.0 1.5789208e-06 0.0 0.0 5.920953e-07 0.0 0.0007424875 0.0006236737 1.736813e-05 5.920953e-06 6.9077782e-06 1.736813e-05 1.6776034e-05 2.171016e-05 1.5591842e-05 2.9604764e-06 4.3420323e-06 5.920953e-06 1.3815556e-06 2.9604764e-06 4.144667e-06 1.7762859e-06 5.960426e-05 0.003951644 0.00015177375 0.00011506385 0.00010184039 9.8879915e-05 7.8156576e-05 0.00015355005 9.453788e-05 6.947252e-05 5.7235877e-05 5.5262226e-05 5.407804e-05 5.111756e-05 5.3485943e-05 5.407804e-05 0.00011447175 0.0031951435 0.00010341931 0.00019697037 7.716975e-05 9.1972135e-05 8.249861e-05 0.0009702468 0.0003641386 0.00018276008 8.210388e-05 3.0394225e-05 3.1183685e-05 5.467013e-05 3.947302e-05 4.263086e-05 0.000114077026 0.009511616 0.00023881177 0.0020119399 0.001269255 0.0021096356 0.001244979 0.0051567554 0.0022896326 0.00017210236 0.0002131543 0.00014565545 0.00010776134 0.000103024584 8.980112e-05 7.5196105e-05 0.0003213104 0.011040999 0.0003410469 0.0017050371 0.0013718848 0.00339389 0.0030427778 0.010664031 0.0051480713 0.0002911135 0.000171905 0.0002040755 0.00014072131 0.00020802282 0.00017960224 0.00015769471 0.0007426849 0.008999059 0.00035644136 0.0018459557 0.001140573 0.0016168149 0.001592539 0.005241425 0.002405091 0.0003698622 0.0003929539 0.00028183736 0.00017387865 0.0004314401 0.00022440411 0.00026723233 0.0005295306 0.0090245195 0.00074011914 0.0018603634 0.0008636697 0.0014048448 0.0012248477 0.00303962 0.0017052344 0.0031006057 0.0008593276 0.00031459995 0.00046262378 0.0008948533 0.0004665711 0.00086209073 0.004299796 0.02672284 0.0035156645 0.0061727907 0.0024118016 0.0064990353 0.0031880385 0.0035610585 0.0030658694 0.02043913 0.0022880535 0.0012013613 0.0024386432 0.0058266125 0.0019884533 0.005189123 0.023114808 0.13605975 0.017657861 0.045916002 0.012115454 0.040919706 0.019689735 0.012127099 0.016282225 0.08608809 0.014661661 0.00698929 0.012141901 0.03579887 0.009411947 0.025508847 0.052689772 0.037806667 0.006803767 0.01257867 0.004510582 0.014571466 0.008652683 0.0055406303 0.006224303 0.02902155 0.008475449 0.0032204064 0.004664527 0.012791232 0.0046244618 0.0100194365 0.0156194735 0.00066354143 0.00024749583 0.00033848113 0.00026703498 0.00029427136 0.00028460048 0.00027433748 0.0002516405 0.00043459795 0.00025973248 0.00018729948 0.00019460199 0.00034874413 0.0002261804 0.00029249507 0.00028538992 9445.0 15.552885 146897.0 0.046604082 0.0007692465 0.00036760452 0.00034037454 0.006514769 0.0050375434 0.000776054 0.00093262625 0.005731907 0.0053983405 0.0008917813 0.0005990592 0.0057387147 0.012124142 0.011647617 0.0023553919 0.005214538 0.010401846 0.009952552 0.0034650129 0.006419464 0.0040844944 0.0026140765 0.0015316855 0.006657726 0.004649516 0.009721098 0.0016406053 0.0039006923 0.0024370817 0.0020694772 0.00027910713 0.0012661933 0.009244572 0.0039551524 0.018795483 0.008393636 0.016916616 0.0033084406 0.011307242 0.0023962369 0.00998659 0.0005786367 0.0029408361 0.005575335 0.0040096124 0.013458409 0.0055685276 0.007930727 0.0006671341 0.007474625 0.015051362 0.008802086 0.0061743944 0.002192012 0.0014704181 0.0024711192 0.001994595 0.000374412 0.009156075 0.0015997604 0.009101615 0.00892462 0.044452917 0.0005241768 0.03735951 0.011463814 0.029020334 0.024146171 0.0691573 0.012879773 0.012015222 0.008713588 0.044704795 0.0012185408 0.004860549 0.02211073 0.016460514 0.04002124 0.040245887 0.020395244 0.0015044555 0.039878283 0.03575294 0.054827534 0.015534694 0.00892462 0.0049830833 0.004397639 0.008911005 0.000762439 0.00020422474 0.0012866157 0.0002927221 0.00039483447 0.0006399042 5.6725764 0.0 1.0 1.0 12.0 2534400.0 2576384.0 0.0 0.0 307.0 0.0 1.0 0.0 1.0 0.0 1530714500.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 23.0 4.0 0.0 4.0 0.0 2188288.0 1024.0 4096.0 8.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 287744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2188288.0 -8704.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7578613 0.0 0.0 0.0 0.0 0.0 -2.2587976 0.0 0.0 0.0 0.0 0.0 5.638352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6359313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.173825 -5.5713544 3.4954274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 0.0 0.0 0.0 287620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15648.0 0.0 0.0 -46008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2188112.0 -8564.0 1344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 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 -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 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 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -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 -2.0 -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 -1.0 -1.0 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 0.0 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 3.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 -1.0 -2.0 0.0 1.0 1.0 0.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 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 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 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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 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 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8564.0 2551808.0 1344.0 2572288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2568196.0 0.0 0.0 0.0 0.0 1256.0 2553224.0 0.0 0.0 0.0 0.0


Input: 0.26636776 0.017299276 0.012818386 0.014435777 0.0043297475 0.004222962 0.0020149632 0.0042081764 0.0032922837 0.0009520352 0.0009413566 0.000537214 0.001542642 0.0007286067 0.0005823925 0.00097257085 0.0018005704 0.0008411424 0.0012649993 0.0003507498 0.00071792817 0.0040085693 0.0005815711 0.00031953552 0.00077214243 0.00067932106 0.0003449998 0.00029735698 0.0008978209 0.000251357 0.00032610697 0.00024396414 0.010667887 0.00026942842 0.00039592833 0.00031953552 0.0044521405 0.0019402131 0.00055610685 0.00029078554 0.0007212139 0.00040167835 0.0003770355 0.00029160696 0.0007097139 0.0002718927 0.0036216765 0.00025957127 0.0030088911 0.0018186418 0.0012272135 0.0011877851 0.001548392 0.0033243196 0.00088221376 0.00067110674 0.0009791423 0.00077624957 0.0007392853 0.0006489282 0.0006727496 0.00026367843 0.00028257127 0.0077583883 0.029602626 0.011479458 0.004344533 0.009429995 0.0043543903 0.02729934 0.003570748 0.0025620342 0.0036767123 0.003194534 0.0008649638 0.0005930711 0.0015007491 0.011087636 0.0013808206 0.0017718204 0.009319101 0.0035099622 0.0026244628 0.008764638 0.0030310696 0.0087605305 0.005584068 0.0037210693 0.0052932827 0.00043946403 0.0053450326 0.002981784 0.00050682115 0.0037777477 0.0030195697 0.015840419 0.0009889994 0.010751672 0.0023377843 0.0075439955 0.007923495 0.02076981 0.003524748 0.00547564 0.005192247 0.011783387 0.004928569 0.0014703562 0.0070273173 0.006978853 0.013333421 0.011006315 0.008321888 0.00055528537 0.010753315 0.009859602 0.019099025 0.0053253183 0.0017011776 0.0030244982 0.0031378553 0.0030368196 0.000468214 0.00022260702 0.00061689253 0.0009947495 0.00032035695 0.00032528554 0.0026392485 0.0010982493 0.0007442139 0.0054025324 0.00071135676 0.002638427 0.00035732123 0.00035567838 0.0031206054 0.0058633536 0.0006053925 0.021089345 0.0008674281 0.005443604 0.0003129641 0.0002718927 0.0011738208 0.00032035695 0.00052735687 0.00053885684 0.0015262134 0.000771321 0.00031378554 0.0003187141 0.00064235675 0.00034089267 0.000268607 0.00021767845 0.0006251068 0.00021439274 0.00022917845 0.00022917845 0.0009873565 0.0006193568 0.0002480713 0.0010374637 0.0005766425 0.00030557124 0.00028092842 0.00031378554 0.0008189638 0.00029160696 0.00043946403 0.00022917845 0.00079924957 0.00025053558 0.00025053558 0.0002948927 0.0013126421 0.00027928557 0.00027846414 0.0002866784 0.00075899955 0.00028257127 0.00036635692 0.00025053558 0.0013758921 0.00035403552 0.00032610697 0.00039921407 0.0008551066 0.00042467832 0.00029653555 0.00022096415 0.0024593556 0.001878606 0.0010588209 0.003553498 0.0014218921 0.00018810703 0.0012485707 0.0031649624 0.0018794275 0.00034582123 0.00028257127 0.00024642842 0.02274288 0.00024642842 0.00028421413 0.00017989276 0.0014235349 0.0001782499 0.0002899641 0.00021521417 0.0011064636 0.00019960704 0.00029653555 0.00023903558 0.0013167493 0.00033514266 0.00037949978 0.0002833927 0.0013290707 0.00028421413 0.0003482855 0.0003302141 0.002110249 0.0005643211 0.00047232115 0.00040249978 0.001508142 0.0030384625 0.00069739245 0.00055446394 0.009365101 0.0016379276 0.0005832139 0.0016305348 0.007491424 0.0006669996 0.00061689253 0.0011820351 0.005209497 0.0004558926 0.0004953211 0.00052982115 0.0012707493 0.0003244641 0.00039346406 0.00045999975 0.0021250346 0.0009150709 0.00084032095 0.000759821 0.0059413896 0.001131928 0.0022597488 0.030725518 0.004211066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.113574e-07 0.0 0.0 0.0 0.0 8.227148e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023266375 2.3447372e-05 2.7972304e-05 7.815791e-06 2.056787e-05 5.3476465e-06 5.100832e-05 2.1801943e-05 4.113574e-06 3.7022166e-06 2.8795018e-06 3.7022166e-06 3.2908592e-06 4.5249317e-06 3.2908592e-06 1.727701e-05 0.0022139256 4.771746e-05 3.2908592e-05 9.049863e-06 1.5631582e-05 1.1518007e-05 2.4270088e-05 1.8099727e-05 6.828533e-05 2.2624658e-05 1.275208e-05 1.3986152e-05 8.227148e-06 7.815791e-06 1.0695293e-05 9.872578e-06 0.0014183604 2.7972304e-05 1.5631582e-05 1.275208e-05 1.3163437e-05 1.6042939e-05 1.3986152e-05 1.5220225e-05 6.046954e-05 1.6865653e-05 1.8099727e-05 1.1929365e-05 1.0695293e-05 9.4612205e-06 1.3574795e-05 1.0695293e-05 0.016704813 0.0002636801 0.00033813578 0.0003805056 0.00022336708 0.00021226042 0.00017564962 0.00018511084 0.00016659976 0.0001777064 0.0001892244 0.00020979228 0.00022583522 0.00018634491 0.0008502758 0.0005721982 0.024398843 0.00047882003 0.0017865252 0.00041752777 0.00038379646 0.000774586 0.00096175366 0.00046483387 0.00043603886 0.00031180892 0.0003504765 0.00036816488 0.00035212195 0.0003517106 0.00058412756 0.0004348048 0.072727166 0.0011834753 0.0064393887 0.0020230557 0.0019284436 0.0016923244 0.011044535 0.008269929 0.0010086484 0.001093388 0.00089840457 0.0009490016 0.00091938383 0.00085644616 0.00086179376 0.0009942509 0.12873349 0.0018198452 0.010819934 0.014571102 0.05369366 0.03346845 0.06939559 0.037504278 0.0027367608 0.002430711 0.001599769 0.0021394698 0.0023188218 0.0016828632 0.0017618438 0.006848278 0.0060724583 8.844184e-05 0.00055327575 0.0044813277 0.022599977 0.013522141 0.025135584 0.014557939 0.0016417274 0.00018634491 0.00019704021 0.00010859836 0.00025545296 8.103741e-05 0.00016372025 0.00049815385 0.011409409 0.0008733118 0.00076142256 0.0007836359 0.0040596863 0.0012279019 0.0026215808 0.0012653354 0.0012492925 0.00048375633 0.00032867456 0.0003196247 0.00038379646 0.00032785186 0.000461543 0.0020868161 0.008143231 0.00069478265 0.0013114074 0.00044262057 0.0038519509 0.0014500349 0.0022817997 0.0007643021 0.0010962675 0.00039572583 0.00036158317 0.00035294465 0.0008848298 0.00028095712 0.0012340723 0.0017272898 0.022152008 0.0032476669 0.0013665294 0.00097121485 0.011965564 0.014745929 0.0035175174 0.0017293466 0.017697006 0.001259165 0.0017001402 0.0015380654 0.01888583 0.0016005917 0.011803489 0.01724369 0.034725558 0.0049597365 0.0020843481 0.001706722 0.017883353 0.015397108 0.0056183194 0.0029288647 0.025424767 0.0018807261 0.0020954546 0.0020600779 0.01699441 0.003176502 0.014820796 0.023474934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15118.0 23.770737 359366.0 0.000397923 2.7826783e-05 0.0001280032 5.565357e-06 0.012947802 0.00012243785 2.7826784e-06 8.348035e-06 8.0697675e-05 6.40016e-05 6.40016e-05 8.348035e-06 1.669607e-05 0.0 0.010632614 1.9478748e-05 0.0060690218 0.005000473 0.002855028 0.0026463273 0.0033030394 0.010585309 0.002014659 0.0012355092 0.0012911628 0.0010212429 4.7305533e-05 2.5044106e-05 3.617482e-05 1.1130714e-05 2.7826783e-05 0.025430897 0.09080715 0.035498627 0.009494498 0.029415693 0.009920249 0.026226744 0.0074102725 0.0048585567 0.009141099 0.009641981 0.0019562228 0.001124202 0.0030442502 0.0064419005 0.0037176583 0.00499769 0.017759053 0.007173745 0.0037343544 0.02134036 0.00783324 0.011548115 0.011292109 0.0051785647 0.016234146 0.0006455814 0.017149648 0.0001669607 8.0697675e-05 0.0 0.00016139535 0.04388284 3.0609463e-05 0.031213304 0.006057891 0.022386648 0.018557683 0.05917922 0.009399887 0.016517978 0.008289599 0.034374427 0.00093219726 0.0016974338 0.018771948 0.020870088 0.0393749 0.031410873 0.022820745 0.0009015878 0.030448066 0.02730364 0.05282915 0.01318433 0.0037621811 0.008242293 0.00858178 0.00846769 0.00027826783 2.7826784e-06 2.7826783e-05 2.7826784e-06 1.1130714e-05 6.678428e-05 5.4102254 0.0 0.0 0.0 1.0 1217392.0 614400.0 1.0 85.0 1097.0 0.0 1.0 0.0 0.0 13668.0 1111168300.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 380928.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -380928.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6350045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2510266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8291044 0.0 3.9015336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 118065.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376835.0 0.0 92616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 -1.0 -3.0 2.0 0.0 0.0 2.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 1.0 1.0 1.0 2.0 -1.0 3.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 1.0 2.0 -1.0 2.0 2.0 -2.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 2.0 -2.0 -1.0 -1.0 -1.0 0.0 2.0 1.0 0.0 0.0 -2.0 -2.0 -2.0 0.0 2.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -3.0 1.0 1.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 -2.0 0.0 -2.0 0.0 3.0 2.0 -2.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -4.0 0.0 1.0 0.0 0.0 1.0 2.0 2.0 -1.0 -2.0 -1.0 2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 3.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -2.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 1.0 2.0 -2.0 -1.0 0.0 -2.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 1.0 3.0 1.0 4.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 2.0 1.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -2.0 -2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 2.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -3.0 0.0 1.0 1.0 0.0 0.0 -3.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -3.0 -1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 1.0 -2.0 -1.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 4.0 1.0 0.0 -1.0 0.0 0.0 -3.0 -1.0 -2.0 1.0 -3.0 -2.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 2.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 -3.0 2.0 2.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 2.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -3.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 -2.0 2.0 0.0 0.0 1.0 -1.0 2.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 1.0 -2.0 -3.0 0.0 2.0 -2.0 1.0 0.0 0.0 -3.0 1.0 2.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 3.0 0.0 0.0 -1.0 0.0 2.0 -1.0 4.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 1.0 -2.0 -1.0 -2.0 0.0 -2.0 0.0 -2.0 -1.0 1.0 2.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -3.0 -1.0 1.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 5.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 2.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 2.0 2.0 1.0 0.0 -3.0 2.0 1.0 0.0 -1.0 -2.0 -3.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 -1.0 1.0 -2.0 -1.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 -3.0 -1.0 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 2.0 1.0 0.0 0.0 -1.0 1.0 1.0 2.0 2.0 1.0 1.0 -2.0 2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -4.0 0.0 0.0 -3.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -2.0 -1.0 0.0 3.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -2.0 2.0 0.0 -2.0 1.0 0.0 0.0 -2.0 2.0 1.0 2.0 0.0 -1.0 4.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 0.0 3.0 3.0 -3.0 0.0 0.0 1.0 -2.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 3.0 2.0 1.0 -1.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 3.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 2.0 -1.0 1.0 1.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -2.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 1.0 2.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 2.0 0.0 0.0 4.0 -1.0 3.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 -1.0 -1.0 -2.0 1.0 3.0 0.0 -1.0 0.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -2.0 1.0 0.0 1.0 2.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -2.0 3.0 0.0 1.0 1.0 1.0 0.0 1.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -2.0 -2.0 1.0 4.0 2.0 0.0 -1.0 1.0 -2.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 5041.0 498048.0 500.0 442952.0 92616.0 520192.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 390880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5848.0 385024.0 0.0 0.0 0.0 0.0


Input: 0.008852618 0.003970339 0.0038285481 0.0040803314 0.0038883442 0.0038049496 0.0038885442 0.0042309216 0.0036551594 0.003570765 0.0036823577 0.00394674 0.0037605525 0.0038967435 0.004005736 0.0043357145 0.003708356 0.00349457 0.0034835709 0.00379855 0.0036589592 0.0036435602 0.0036985567 0.004074132 0.0036057627 0.0037497533 0.0037123556 0.0040053367 0.0039919373 0.0040047364 0.004073132 0.0041603264 0.003891544 0.0035207684 0.0034583726 0.0036511598 0.0036491598 0.003569965 0.003679558 0.0039125425 0.003629961 0.0035611656 0.0035575659 0.0037499534 0.0035627657 0.0036611592 0.003938141 0.0041725254 0.0038671456 0.0037303546 0.0036731584 0.0043875114 0.0036753581 0.0036829577 0.0038285481 0.004160126 0.0038871442 0.0039781383 0.003815949 0.004091131 0.004040534 0.004088331 0.00410493 0.004229922 0.003813749 0.0040689325 0.0035079692 0.0039295414 0.0036589592 0.0037055563 0.0036089625 0.0038827446 0.003602163 0.0036275613 0.0034713715 0.0037181554 0.003771552 0.0037145556 0.0038085494 0.0038861444 0.0037361542 0.0036669588 0.0034739715 0.0037927504 0.0036719583 0.003543167 0.003615762 0.0038201485 0.0036695586 0.0035777646 0.0035771646 0.0038195488 0.0041197287 0.003831148 0.0040641325 0.004117529 0.0037741517 0.0038721452 0.0036993567 0.0038357477 0.0037909506 0.003783351 0.0038385475 0.0039341412 0.0037799513 0.003815149 0.00364676 0.0037271548 0.0037729517 0.0038089494 0.0040485337 0.004331915 0.00395214 0.0038819446 0.003982338 0.0040965304 0.00425812 0.004014336 0.0038657456 0.0042405208 0.0040843314 0.004069332 0.003940941 0.004178925 0.0041225287 0.004130328 0.004138128 0.004335315 0.0037577527 0.004033935 0.0036669588 0.00440591 0.0034855707 0.0040101362 0.0037329544 0.0041247285 0.003587364 0.003969939 0.0037093558 0.0046610935 0.0035611656 0.004116729 0.0038089494 0.0040683323 0.003830148 0.0037035563 0.0035295677 0.003829548 0.0035187684 0.0036535596 0.0035357673 0.003920942 0.0037871508 0.003755153 0.0035735648 0.003876345 0.003920942 0.003843547 0.0039717387 0.0040669325 0.0037613525 0.0037699519 0.003692357 0.0037519531 0.003629761 0.0035171686 0.0036811577 0.0037957502 0.0036695586 0.0035799644 0.0034585723 0.0036453602 0.0036387607 0.0036125623 0.0037425538 0.003968739 0.0038483469 0.0036875573 0.0036409604 0.0038287481 0.003664359 0.003678758 0.0037165554 0.003983138 0.0040193354 0.0039685387 0.0038875442 0.004016536 0.004070132 0.0040695323 0.0041911243 0.004329715 0.0040457337 0.003962539 0.0037925504 0.004132928 0.0037949502 0.003814149 0.0039087427 0.0040961304 0.0038347477 0.0038457469 0.0036761581 0.00394554 0.0038691454 0.0039151423 0.0040361346 0.0040977304 0.0040187356 0.003767152 0.0037411537 0.0037869508 0.0037147556 0.0037195552 0.0037187552 0.0039151423 0.003998737 0.0038115492 0.0037351542 0.003966339 0.0040349346 0.004010736 0.0041363277 0.0043045166 0.004056933 0.003994937 0.0039431406 0.0040641325 0.0039897375 0.0039697387 0.003982938 0.004210723 0.0043553133 0.003939341 0.0037801513 0.0040945304 0.003969139 0.003979138 0.004088931 0.004330915 0.0042597195 0.0041411277 0.0041163294 0.004150527 0.004021935 0.00395134 0.004115729 0.004376512 0.0042879176 0.004212123 0.0041089295 0.0043085166 0.0043289154 0.0041861245 0.0043843114 0.00532245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001556259 3.8006324e-06 1.8002995e-06 3.7006157e-06 4.300716e-06 4.9008154e-06 7.6012648e-06 4.8007987e-06 4.4007325e-06 4.0006657e-07 7.001165e-07 1.700283e-06 2.6004327e-06 9.0014976e-07 4.500749e-06 3.1005159e-06 0.00010521751 1.0001664e-06 1.5002496e-05 3.5005826e-06 1.9003162e-06 1.8002995e-06 5.240872e-05 2.4003994e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00065730937 2.3003828e-05 4.0006656e-05 3.3005494e-05 6.281045e-05 4.2107007e-05 0.00019133184 8.8414716e-05 1.6002663e-05 8.601432e-06 3.5005826e-06 3.8006324e-06 2.8404727e-05 2.500416e-06 3.5005826e-06 2.4704112e-05 0.0004760792 6.381062e-05 3.9106508e-05 8.2113664e-05 8.851473e-05 3.6506073e-05 0.00010491746 8.4114e-05 9.901648e-06 5.2008654e-06 2.6004327e-06 5.2008654e-06 3.600599e-06 2.9004827e-06 2.500416e-06 1.7102846e-05 0.0007386229 5.460909e-05 6.5910965e-05 5.1108505e-05 0.0001184197 5.920985e-05 0.0001677279 0.00015342553 4.820802e-05 2.3303877e-05 8.0013315e-06 1.490248e-05 2.620436e-05 1.0301715e-05 6.101015e-06 9.261541e-05 0.00018713114 7.6012648e-06 5.300882e-06 1.35022465e-05 2.5204194e-05 1.8002997e-05 3.840639e-05 1.8303046e-05 1.4802463e-05 3.3005492e-06 4.1006824e-06 6.701115e-06 3.840639e-05 3.7006157e-06 1.41023465e-05 1.1101847e-05 0.00028144685 2.1703612e-05 3.5905974e-05 2.6004327e-05 6.121019e-05 2.9104844e-05 1.910318e-05 4.3707274e-05 0.00011271876 1.0001664e-05 5.700949e-06 1.9003162e-05 4.590764e-05 1.8703113e-05 4.0606756e-05 4.850807e-05 0.0032176354 0.00038966484 0.0003214535 0.00046437728 0.00068181346 0.00077032816 0.00025084175 0.0005281879 0.0019889309 0.00032185356 9.761624e-05 0.0003960659 0.0007669276 0.00032665435 0.000763327 0.0012092012 0.0011972992 0.00025824297 0.00020763456 0.00022723782 0.00029464904 0.00032735447 0.0002085347 0.00025514245 0.00055119174 0.00017272875 0.00014892478 0.00017272875 0.0002843473 0.00020123349 0.00028154685 0.00033205526 0.060299933 0.06004609 0.058438726 0.062344175 0.058442324 0.058812585 0.060421053 0.064095065 0.059960876 0.059777748 0.05865096 0.061986614 0.061576746 0.061817788 0.06364129 0.066541776 22528.0 6.097878 137373.0 0.010708072 0.008786297 0.009324976 0.00861887 0.00901924 0.009011961 0.009463286 0.009448728 0.009324976 0.00888093 0.009164829 0.008713502 0.009230344 0.008808135 0.012178522 0.009710788 0.016189499 0.012083888 0.010103878 0.013328674 0.009565199 0.009870935 0.011232193 0.010147555 0.009958289 0.010482409 0.00941233 0.009499683 0.010191231 0.010140275 0.010402335 0.009856377 0.009223064 0.010540645 0.008837253 0.010045642 0.00954336 0.009528801 0.009637993 0.00968167 0.008829974 0.009885495 0.008946445 0.008633428 0.008873651 0.009987406 0.009703508 0.009230344 0.009186667 0.009215785 0.009667111 0.010038363 0.009339536 0.008895489 0.009048358 0.009361374 0.008910048 0.009244903 0.009048358 0.009645272 0.017041195 0.00940505 0.010162113 0.010256746 0.008975563 0.014027501 0.010096598 0.013197645 0.013729044 0.014755446 0.01126859 0.010162113 0.01046057 0.013961987 0.00940505 0.009179387 0.010919176 0.012680803 0.013699926 0.014813682 0.010708072 0.009696228 0.01311757 0.012840951 0.015716335 0.010504248 0.009383212 0.011093883 0.009703508 0.011159399 0.010001966 0.009870935 0.01061344 0.010424173 0.010824543 0.010555204 6.5653663 1.0 0.0 0.0 60.0 5000329.0 135168.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1190291700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 81920.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79872.0 -4096.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 4.711663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -81920.0 -4096.0 16384.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4049.0 114688.0 15360.0 118784.0 0.0 0.0 6776.0 11790424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.0011160715 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.00055803574 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.0008370536 0.0008370536 0.0008370536 0.0 0.0 0.0013950893 0.0025111607 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.0016741072 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.003627232 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.0055803573 0.0008370536 0.0027901786 0.002232143 0.0016741072 0.0 0.004464286 0.0025111607 0.005859375 0.0066964286 0.00055803574 0.00027901787 0.0011160715 0.00055803574 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.0 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.020019531 0.024169922 0.0061035156 0.024414062 0.03466797 0.033935547 0.03540039 0.028076172 0.0014648438 0.00390625 0.008544922 0.014404297 0.0014648438 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.011494253 0.007662835 0.007662835 0.0 0.0 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.022988506 0.019157087 0.0 0.011494253 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.049808428 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.0038314175 0.053639848 0.011494253 0.038314175 0.03065134 0.01532567 0.0 0.06130268 0.03065134 0.053639848 0.022988506 0.0 0.0 0.01532567 0.007662835 0.0 0.0 0.0 0.0 0.0 0.0 5.2670326 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1294145400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9224098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1646743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.18886848 0.009534334 0.0037199322 0.0042531868 0.0051141037 0.002447831 0.002550627 0.002030222 0.005467465 0.0025056538 0.0021073192 0.0017282587 0.0049470603 0.0020109478 0.0019017269 0.0023514598 0.003540039 0.0024799549 0.0017860815 0.002190841 0.0027497944 0.0050948295 0.0017539576 0.0018310547 0.0021779914 0.0022036904 0.0017539576 0.0017411081 0.0026983963 0.0015869141 0.001927426 0.002158717 0.0068359375 0.0024028576 0.0017539576 0.0017668072 0.0019916736 0.004940635 0.0017154091 0.0018182052 0.0027819183 0.0020687706 0.0019723992 0.002158717 0.0024799549 0.004060444 0.0019467003 0.0015033922 0.0036107113 0.0017218338 0.002499229 0.0022165398 0.0016897101 0.0017411081 0.001484118 0.0016511616 0.0026791221 0.0016383121 0.0017154091 0.0020109478 0.0019081518 0.001535516 0.001509817 0.0017218338 0.012804533 0.008352179 0.0021394428 0.0024735301 0.0061035156 0.010260331 0.002133018 0.0037392064 0.0022036904 0.0036942333 0.0015290913 0.0017860815 0.002113744 0.008320056 0.0034500926 0.0018310547 0.008834036 0.0055702613 0.00481214 0.002210115 0.0020109478 0.0049277856 0.0024799549 0.001850329 0.005024157 0.0016832853 0.0015676398 0.0017668072 0.0017411081 0.002788343 0.0014455694 0.0017925062 0.0029361122 0.00364926 0.0020494964 0.0026855469 0.0037520558 0.0062962584 0.0025442024 0.0017732319 0.008332905 0.0035785877 0.0055252877 0.0022229645 0.0035593132 0.002704821 0.0035271896 0.0040283203 0.0032445004 0.0016061884 0.00481214 0.0034822163 0.0050755553 0.00312243 0.0016061884 0.0020494964 0.0034051193 0.001953125 0.0016832853 0.0015740646 0.0018824528 0.0019145765 0.001509817 0.001561215 0.004227488 0.005756579 0.002788343 0.0057951272 0.002242239 0.005711606 0.0015869141 0.0015226665 0.0028718647 0.006328382 0.0018182052 0.022968493 0.0020109478 0.015387285 0.001407021 0.0015162418 0.0021779914 0.0023835835 0.0016897101 0.0017668072 0.0019402755 0.0041118423 0.0016061884 0.0014969675 0.0023578845 0.0017475329 0.0016575863 0.0015997635 0.0017603824 0.0014905428 0.0018117804 0.0017154091 0.0028525905 0.0018696032 0.0014455694 0.001509817 0.0025120785 0.0015933388 0.0014905428 0.0016704359 0.0020944695 0.0015483656 0.0015933388 0.0015869141 0.0020944695 0.0016447369 0.0017411081 0.0015804893 0.0023643093 0.0015740646 0.0015740646 0.0016126131 0.0017860815 0.0015997635 0.0015804893 0.0018053557 0.002788343 0.0015676398 0.0015290913 0.0015483656 0.0016447369 0.0017925062 0.0017860815 0.0014519943 0.0030003597 0.0050691306 0.0026726974 0.003925524 0.0045230263 0.0015869141 0.005159077 0.0035079152 0.0024414062 0.0018310547 0.0016768606 0.0016575863 0.0052040503 0.001535516 0.0015997635 0.0016126131 0.0030646073 0.0015804893 0.0017154091 0.0015033922 0.0019338507 0.002704821 0.0039383736 0.0020944695 0.0020623459 0.0014648438 0.0017282587 0.0016640112 0.0022807873 0.0015804893 0.0020109478 0.0018374794 0.0031866776 0.0019723992 0.0022229645 0.004426655 0.0029618114 0.0034179688 0.0019659745 0.0017603824 0.012084961 0.00260845 0.0025956004 0.0032701995 0.006745991 0.0021458676 0.0023386101 0.0022743626 0.006032843 0.0027305202 0.0026791221 0.004484478 0.0026405735 0.0018567537 0.001850329 0.0019017269 0.004657946 0.0018888775 0.0020430714 0.002653423 0.010292455 0.002814042 0.011808696 0.055599816 0.01986755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005917581 4.527111e-05 6.467301e-05 1.9401905e-05 0.0050153923 0.001684732 0.00011641142 6.1439365e-05 7.760762e-05 7.4373966e-05 5.497206e-05 3.5570156e-05 2.2635555e-05 1.2934603e-05 1.9401905e-05 2.2635555e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015321037 3.5570156e-05 0.000601459 0.00031366412 0.0004850476 0.0003071968 0.0014713111 0.00083428185 9.377587e-05 4.527111e-05 6.1439365e-05 5.820571e-05 4.850476e-05 0.000119645076 5.820571e-05 1.2934603e-05 0.009675083 0.0005658889 0.0004850476 0.00045917838 0.00020695364 0.0004850476 0.0003071968 0.00020371999 0.00046241205 5.173841e-05 4.850476e-05 7.114031e-05 3.5570156e-05 6.467301e-05 5.820571e-05 6.467301e-05 0.0044753724 2.5869205e-05 4.203746e-05 1.6168253e-05 0.00013904698 2.2635555e-05 2.5869205e-05 1.9401905e-05 0.0003071968 1.6168253e-05 2.5869205e-05 6.1439365e-05 0.0002813276 4.203746e-05 0.0002425238 0.000879553 0.029225735 0.00097332883 0.0010121326 0.00039127172 0.0022506209 0.0011253104 0.0018852183 0.0012740584 0.0016588628 0.0003589352 0.00021988824 0.00013581333 0.0007178704 0.00043007554 0.0009700952 0.0037283993 0.016656535 0.0015230494 0.0020954057 0.0006176273 0.0034826417 0.0009862635 0.006331488 0.0037575022 0.00062086096 0.00029749586 0.0001843181 0.00021988824 0.00016814984 0.0015327504 0.00029102855 0.0009700952 0.020087438 0.0016297599 0.006376759 0.0020210317 0.0047987374 0.0018755174 0.007760762 0.0045368117 0.00091512315 0.0003945054 0.00044947743 0.00046887936 0.0005141505 0.0023120602 0.00329509 0.002166546 0.012313741 0.0013904698 0.0013290304 0.001138245 0.0048019714 0.0020210317 0.002425238 0.0012417219 0.003877147 0.0008407492 0.0009571606 0.0010800393 0.002832678 0.0012320209 0.006153637 0.00934525 0.049588032 0.0057526645 0.0038933153 0.0024640418 0.011337179 0.0099822795 0.008420426 0.0025254812 0.032439984 0.004223148 0.0036637262 0.002489911 0.009481064 0.0024478736 0.013345276 0.04986613 0.033393912 0.0041067363 0.004355727 0.0024575745 0.013581333 0.008358987 0.0070428913 0.0026968645 0.021798039 0.0027421357 0.0019563586 0.0022603218 0.009147998 0.0030687344 0.008924875 0.026425393 0.003249819 0.00044947743 0.0012190863 0.0010412355 0.0020986393 0.0010768056 0.0026612945 0.0016329936 0.0012740584 0.0004462438 0.00039773903 0.00039773903 0.0016135917 0.00052061776 0.0005335524 0.0012546565 0.020760037 0.021380898 0.020937888 0.020582186 0.022687294 0.02205673 0.02099286 0.02190475 0.020892616 0.021956488 0.020944355 0.020876449 0.0224286 0.021587852 0.022438303 0.021943554 768.0 14.029948 10775.0 0.04547564 0.010951276 0.0031554524 0.0026914154 0.0018561485 0.010023202 0.0014849188 0.004547564 0.003062645 0.003062645 0.005661253 0.001299304 0.0020417634 0.030162413 0.006960557 0.001763341 0.010301624 0.0016705337 0.002598608 0.002598608 0.0016705337 0.0016705337 0.0012064965 0.00092807424 0.0036194895 0.0019489559 0.002412993 0.0025058005 0.00287703 0.0025058005 0.0020417634 0.0021345709 0.0023201855 0.04139211 0.0049187937 0.0094663575 0.056798145 0.007888631 0.004640371 0.031461716 0.003526682 0.031183295 0.0010208817 0.0020417634 0.004640371 0.004176334 0.028770301 0.0047331788 0.03526682 0.005011601 0.00612529 0.0073317867 0.0053828307 0.002227378 0.002227378 0.004640371 0.029791184 0.004176334 0.0021345709 0.001299304 0.001299304 0.0019489559 0.0019489559 0.004547564 0.001113689 0.02914153 0.005939675 0.016426913 0.015962876 0.061809745 0.010301624 0.007238979 0.017447796 0.024315545 0.0023201855 0.004083527 0.022645012 0.013642691 0.025893271 0.03563805 0.01837587 0.0015777262 0.04102088 0.025429234 0.036566127 0.01512761 0.0025058005 0.005011601 0.014477958 0.00575406 0.003062645 0.0007424594 0.0013921114 0.00092807424 0.0013921114 0.0014849188 5.681257 0.0 0.0 0.0 5.0 155648.0 155648.0 0.0 0.0 104.0 0.0 0.0 0.0 0.0 0.0 1390294100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 57344.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9589562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1190906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.801567 0.0 7.64441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54969.0 0.0 67444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 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 -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 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 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 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 69400.0 67444.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 952.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.42890364 0.006662739 0.0042872187 0.0039236825 0.0052587376 0.00340345 0.004675826 0.0024820738 0.0024444668 0.0025447526 0.0024632702 0.0023692523 0.0018615554 0.0026513063 0.002118538 0.001742466 0.0022376273 0.0018552876 0.0020746628 0.0022626987 0.0025008775 0.0015857695 0.0020871984 0.0019242341 0.0021436093 0.0019054305 0.00202452 0.0018552876 0.0018740911 0.0023504489 0.0019994485 0.0020433234 0.005597202 0.0017863411 0.0021749486 0.0014917515 0.0015293587 0.001510555 0.0017111268 0.0020307878 0.0020433234 0.0017111268 0.0018615554 0.002977235 0.0020119841 0.002243895 0.002983503 0.0028644137 0.005904327 0.0032342174 0.0023065738 0.004537933 0.0022689665 0.0022689665 0.002118538 0.0021498771 0.0033783785 0.002256431 0.0026199669 0.0019493055 0.0022815024 0.0020809306 0.002118538 0.002068395 0.0021310735 0.0023567167 0.002569824 0.0018114125 0.0024381988 0.0017863411 0.0017173946 0.001980645 0.0019242341 0.002250163 0.0019116984 0.0018615554 0.0016484481 0.0021436093 0.002106002 0.001604573 0.001836484 0.0017361982 0.0026951812 0.0024632702 0.0020934665 0.0029020207 0.0015418944 0.0017487339 0.0018615554 0.001516823 0.0019054305 0.0018114125 0.0017863411 0.0016484481 0.0015418944 0.0013914657 0.0021937522 0.0041493257 0.0015356265 0.002977235 0.0021248057 0.003672968 0.0018176804 0.002162413 0.0024005917 0.0028644137 0.0015795015 0.0015732337 0.0022877702 0.003171539 0.0036040214 0.0029897708 0.0028769493 0.0013475906 0.00284561 0.003027378 0.0040615755 0.002062127 0.0017612696 0.0019931805 0.0023441808 0.0020934665 0.001654716 0.0014729479 0.0017299303 0.0014541444 0.001422805 0.001510555 0.0024507346 0.0020119841 0.0022689665 0.0017173946 0.0017299303 0.0013977336 0.0022188236 0.0013538585 0.0015920373 0.0016421803 0.0021498771 0.0013663942 0.0012974477 0.0015230908 0.0017800732 0.0014290728 0.0015544301 0.0014353407 0.0017863411 0.0016985909 0.0014917515 0.0014290728 0.001836484 0.001510555 0.0015481623 0.0014416085 0.0014165371 0.0014729479 0.0016171087 0.001560698 0.0014917515 0.0015857695 0.001742466 0.0016421803 0.0015042872 0.0015418944 0.0012786441 0.0013914657 0.0023504489 0.0018176804 0.0015293587 0.0015669658 0.001510555 0.0015669658 0.0018302161 0.0016672517 0.001516823 0.0016359123 0.0018740911 0.0015356265 0.001654716 0.0016985909 0.001560698 0.0017738054 0.001654716 0.0014854836 0.0014666801 0.0014353407 0.0014729479 0.0015732337 0.0015230908 0.001604573 0.0014040014 0.001654716 0.0019869127 0.0017299303 0.002801735 0.0014604122 0.0015857695 0.0014541444 0.0015920373 0.001742466 0.0014729479 0.0016171087 0.0013851979 0.0013977336 0.0016359123 0.0015983052 0.0015983052 0.0016359123 0.0014541444 0.0016860552 0.0014165371 0.0016108409 0.0012974477 0.001792609 0.0015230908 0.001654716 0.0016421803 0.0018615554 0.001654716 0.0018490197 0.0016171087 0.0013475906 0.0015418944 0.0017299303 0.0018239482 0.0014353407 0.0013350549 0.0017048588 0.0019994485 0.0012535726 0.002475806 0.0017487339 0.0015293587 0.0014165371 0.0015732337 0.0013601263 0.0014917515 0.0013977336 0.001422805 0.0015669658 0.001654716 0.0015544301 0.0018490197 0.0022062878 0.0017988768 0.0018866269 0.0023065738 0.0026889134 0.00202452 0.0023504489 0.0019555734 0.001974377 0.0018991627 0.0021686808 0.002106002 0.05931906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11274858 0.0016804484 0.0016550831 0.0019182478 0.0013126521 0.0010938768 0.0009860744 0.00023462865 0.0004026735 0.00017755682 0.00026633524 8.877841e-05 0.00030121245 7.292512e-05 0.00017438616 0.00026316458 0.2626953 0.003849178 0.004036247 0.0038333249 0.0030850498 0.0027045708 0.0023462866 0.0009036374 0.0016297179 0.0006785207 0.0013221642 0.00043755074 0.0011287541 0.00031072443 0.001861176 0.0013855773 0.012717507 0.00043120942 0.00022828733 0.00013633828 8.560775e-05 8.2437095e-05 0.00013950893 0.00017438616 0.000342431 6.341315e-05 0.00016170353 0.00015536221 0.0001268263 0.000114143666 0.00022511667 0.010789747 0.008126395 0.000114143666 0.00012048498 0.00051681715 4.1218547e-05 1.5853288e-05 3.1706575e-05 2.536526e-05 1.268263e-05 0.00016170353 0.00021243405 0.000110973015 3.4877234e-05 8.877841e-05 0.00017755682 0.009689529 0.002517502 2.8535916e-05 7.9266436e-05 0.00013950893 3.1706575e-06 0.0 2.536526e-05 3.1706575e-06 0.0 1.9023944e-05 8.2437095e-05 3.804789e-05 9.511972e-06 4.4389206e-05 0.00013950893 0.0033640675 0.010330002 0.00027267655 0.00035511365 0.0008433949 0.0005675477 0.00038999086 0.00045657466 0.00039633218 0.00069120334 0.00042169745 0.0004090148 0.00041218547 0.00045657466 0.0004185268 0.00016170353 0.009391488 0.015105012 0.00037413757 0.0005992543 0.0015536222 0.0006690087 0.0004185268 0.0005802303 0.00039950284 0.000351943 0.00055486505 0.00052315847 0.00045023335 0.0004914519 0.0006341315 0.00072925125 0.01552671 0.004683061 0.0001712155 0.00018072748 0.0013253348 0.00061510754 0.00030755377 0.00024096997 0.00031706574 0.00047242796 0.0006785207 0.0005960836 0.0005675477 0.00057705963 0.00080217636 0.0003582843 0.0140808895 0.0036494269 0.0001934101 0.0006373022 0.0006658381 0.0006404728 0.00028218853 0.0010114397 0.0005960836 0.00021243405 0.00023779931 0.00022828733 0.00027901787 0.000351943 0.00036462562 4.1218547e-05 0.0035955256 0.006496677 0.00039950284 0.0011794845 0.00032974838 0.0003709669 0.00036779625 0.00052632915 0.00043755074 0.00022828733 0.000107802356 0.00024414062 0.0006024249 0.00085607753 0.000351943 0.00014267958 0.00034560167 0.0036716214 0.00042169745 0.0010621703 0.0013189935 0.00091632 0.00054852373 0.00226702 0.0013570414 0.00023145799 0.0001268263 0.00015853287 0.00016170353 0.00017755682 0.00012999696 0.0002695059 0.00016804485 0.00024096997 0.00013316762 0.0007672991 0.0011446073 0.0006721794 0.00021243405 0.0013665534 0.0008877841 0.000114143666 0.00014267958 0.0001046317 0.00015536221 0.00014585024 0.00013633828 0.00014585024 0.00012365564 0.014204546 0.0045784293 0.0054218243 0.007267147 0.0030977323 0.004074295 0.0079710325 0.005989372 0.0034243101 0.0018738585 0.0021972656 0.0021497058 0.0022099481 0.0022479962 0.002016538 0.0027045708 0.022641664 0.019860998 0.019857828 0.022121677 0.020025872 0.019762708 0.022492643 0.021493888 0.019601004 0.019639052 0.019512227 0.019737342 0.019813439 0.019981483 0.01909053 0.019042969 446.0 17.67713 7884.0 0.045535263 0.0012683917 0.014459665 0.0021562658 0.00304414 0.0026636226 0.002409944 0.0040588533 0.00456621 0.0020294266 0.0020294266 0.002283105 0.0032978184 0.01065449 0.023718925 0.026509386 0.038559105 0.02739726 0.015093861 0.009386098 0.00913242 0.010147134 0.00913242 0.006849315 0.009259259 0.010147134 0.019025875 0.0032978184 0.006976154 0.008498224 0.0064687976 0.0044393707 0.002917301 0.010527651 0.003805175 0.011288686 0.012937595 0.007864028 0.005834602 0.0041856924 0.0041856924 0.0072298325 0.0019025875 0.002409944 0.0026636226 0.0071029933 0.0055809235 0.0019025875 0.00456621 0.0026636226 0.005327245 0.015854895 0.007737189 0.0021562658 0.0031709792 0.002917301 0.0057077627 0.0016489092 0.004819888 0.002409944 0.0032978184 0.002283105 0.002283105 0.0013952309 0.0027904618 0.029807204 0.009512938 0.03196347 0.015854895 0.03932014 0.007864028 0.009005581 0.012303399 0.026763065 0.0020294266 0.0057077627 0.0102739725 0.034246575 0.029046169 0.030695079 0.025494672 0.0027904618 0.028665652 0.030695079 0.045154743 0.009512938 0.005073567 0.009005581 0.013318113 0.01369863 0.0044393707 0.0027904618 0.0020294266 0.0020294266 0.0017757483 0.0012683917 5.9563093 0.0 46.0 0.0 1.0 159544.0 155648.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1533673100.0 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 14.0 0.0 6.0 0.0 6.0 0.0 0.0 512.0 4096.0 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 0.0 512.0 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 145408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.488522 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0124726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 145356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 145356.0 8192.0 0.0 0.0 13112.0 146432.0 0.0 0.0 84.0 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