Input: 0.4431839 0.010757446 0.0020599365 0.015579224 0.004020691 0.0004272461 0.0008392334 0.007347107 0.004135132 0.0019226074 0.007774353 0.0008773804 0.000869751 0.0006942749 0.0008468628 0.0064468384 0.005859375 0.0019302368 0.0022888184 0.0008621216 0.0005264282 0.00077056885 0.00074768066 0.00092315674 0.0012741089 0.0006637573 0.001411438 0.0025634766 0.003479004 0.0007019043 0.000831604 0.0025253296 0.0024108887 0.0006942749 0.0023651123 0.0004119873 0.00045013428 0.00060272217 0.0018615723 0.00064849854 0.0021209717 0.0006713867 0.00039672852 0.0005722046 0.00034332275 0.00045013428 0.00046539307 0.00074768066 0.0010986328 0.0004272461 0.0005340576 0.008659363 0.0004272461 0.0004196167 0.00046539307 0.0009994507 0.002319336 0.0008010864 0.0018844604 0.0005874634 0.0006866455 0.00063323975 0.0006942749 0.0024032593 0.0010528564 0.00038146973 0.0007019043 0.00045776367 0.0032043457 0.00064849854 0.00046539307 0.000579834 0.00046539307 0.0004119873 0.00045013428 0.00036621094 0.00050354004 0.00076293945 0.0005722046 0.001045227 0.0006866455 0.00061798096 0.00034332275 0.00047302246 0.0004272461 0.00060272217 0.00038909912 0.00065612793 0.00045776367 0.00047302246 0.0004043579 0.00045013428 0.00049591064 0.0005722046 0.00048065186 0.0022354126 0.0009765625 0.00046539307 0.0004119873 0.00064086914 0.00039672852 0.0005874634 0.011703491 0.00065612793 0.0007324219 0.00047302246 0.00044250488 0.00090026855 0.00048065186 0.0008544922 0.00064086914 0.000831604 0.0059890747 0.00061798096 0.0006790161 0.002708435 0.0008621216 0.0005187988 0.00074768066 0.012290955 0.0029754639 0.0009536743 0.00074005127 0.0024795532 0.0008544922 0.0007324219 0.0008621216 0.0063934326 0.018981934 0.0006942749 0.0004119873 0.0020141602 0.0005264282 0.00050354004 0.00075531006 0.0028381348 0.011054993 0.00038146973 0.0004196167 0.0020217896 0.00065612793 0.00036621094 0.0008087158 0.0067443848 0.00077819824 0.00046539307 0.0006637573 0.00075531006 0.0005493164 0.0004348755 0.0006713867 0.000579834 0.0005187988 0.010139465 0.00061035156 0.00044250488 0.0005187988 0.0005950928 0.00060272217 0.0009460449 0.0033416748 0.00037384033 0.00045776367 0.00036621094 0.00063323975 0.00051116943 0.00048828125 0.00065612793 0.0006790161 0.0019302368 0.00039672852 0.0005569458 0.00050354004 0.00048065186 0.0020828247 0.00062561035 0.0009841919 0.00049591064 0.00061798096 0.00061035156 0.00045776367 0.000579834 0.0005569458 0.0023880005 0.0018997192 0.0005569458 0.0005264282 0.00074005127 0.0009384155 0.0007171631 0.00065612793 0.0044937134 0.0065231323 0.00051116943 0.00034332275 0.003791809 0.0004272461 0.00044250488 0.0005569458 0.0006790161 0.00048828125 0.0005645752 0.0005493164 0.0006790161 0.010215759 0.0005645752 0.0006713867 0.0009841919 0.0007019043 0.000541687 0.00045776367 0.000541687 0.00048065186 0.00048828125 0.0008239746 0.0008010864 0.0005493164 0.00061798096 0.00061798096 0.0007171631 0.000579834 0.0008773804 0.0005722046 0.00079345703 0.003578186 0.00044250488 0.00048065186 0.0009994507 0.0006866455 0.0005187988 0.00045013428 0.0009384155 0.0016860962 0.00045013428 0.0008239746 0.0011062622 0.0036239624 0.0007324219 0.00075531006 0.006088257 0.011932373 0.0014953613 0.0067367554 0.0009994507 0.004348755 0.00061798096 0.0007247925 0.00554657 0.009307861 0.0009384155 0.0007019043 0.004776001 0.0021591187 0.0008392334 0.001991272 0.12878418 0.047121063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011534203 0.0 0.0 7.6894685e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073395977 6.920522e-05 7.304995e-05 7.6894685e-06 4.229208e-05 2.3068405e-05 0.0001345657 7.6894685e-05 3.0757874e-05 1.1534203e-05 1.5378937e-05 1.9223671e-05 1.1534203e-05 3.8447342e-06 3.8447342e-06 1.1534203e-05 0.006593719 3.8447342e-05 1.5378937e-05 0.0 2.691314e-05 0.0 0.0 0.00027682088 0.00014994464 3.8447342e-06 0.0 0.0 0.0 0.0 3.8447342e-06 0.0007651021 0.005324957 4.613681e-05 7.6894685e-06 0.0 0.0 5.382628e-05 0.0 0.00011918676 0.0 3.0757874e-05 0.0 3.8447342e-06 0.0 0.0 0.0 0.002287617 0.02837414 0.0004690576 0.0008996678 0.00036140502 0.00019608144 0.0002921998 0.00022299458 0.00029988927 0.0010303888 0.00015378937 0.00034218136 0.00019223671 0.000607468 0.00015378937 0.0005728654 0.0052019255 0.052265316 0.0027835877 0.0018992987 0.0011687992 0.00020761565 0.0010957492 0.000926581 0.0014263964 0.002487543 0.00035371556 0.0010688361 6.920522e-05 0.0011265072 8.458416e-05 0.0009765625 0.018673874 0.14173998 0.005398007 0.002575972 0.0019069882 0.0013841044 0.00039985238 0.0019339013 0.010765256 0.015163632 0.00079970475 0.00048443652 0.003152682 0.0036947897 0.00011534203 0.005175012 0.05727885 0.1308786 0.0058324616 0.0020915354 0.0034025898 0.0025529035 0.0005421075 0.0025067667 0.013560378 0.017747294 0.0016340121 0.0011111283 0.0042484314 0.0040600393 0.00021914985 0.004486805 0.057094302 0.037847564 0.0020069513 0.00048443652 0.003644808 0.0005421075 0.00029604454 0.0033256952 0.0019223671 0.0029027744 0.0033833662 0.0013110543 0.00024990772 0.0044637364 0.00028835508 0.0011649545 0.014906035 0.03505244 0.0029027744 0.000680518 0.003690945 0.0003960076 0.00022683931 0.0041600023 0.0021722747 0.0026567113 0.004121555 0.0017109067 0.0006420706 0.0056786723 0.00033833663 0.0014917569 0.012818344 0.009923259 0.00088044413 0.000303734 0.0010496124 0.00033449187 0.00029604454 0.001084215 0.00044214443 0.0005305733 0.0011880229 0.0008765994 0.000303734 0.0011764887 0.0003575603 0.0009650283 0.003910095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005597933 0.0068013347 0.0060208538 0.0076856236 0.0062400037 0.0064476193 0.0067513534 0.009285034 0.006543738 0.0074395607 0.0070550875 0.008235421 0.0071396716 0.008446882 0.008443036 0.0099770855 304.0 7.888158 2398.0 0.0045871558 0.0025020852 0.03002502 0.00083402835 0.0020850708 0.0012510426 0.00083402835 0.0054211845 0.0025020852 0.0012510426 0.0 0.0016680567 0.00041701418 0.00083402835 0.0025020852 0.0025020852 0.0025020852 0.0016680567 0.0020850708 0.012510425 0.0012510426 0.0020850708 0.00083402835 0.0054211845 0.036280233 0.0016680567 0.00083402835 0.0025020852 0.0012510426 0.0012510426 0.0025020852 0.0037531275 0.00083402835 0.00041701418 0.0012510426 0.0012510426 0.08173478 0.0020850708 0.0020850708 0.0029190993 0.0025020852 0.0016680567 0.0041701416 0.0 0.00083402835 0.0012510426 0.0029190993 0.013344454 0.00041701418 0.0016680567 0.0016680567 0.0033361134 0.0025020852 0.0012510426 0.0020850708 0.0020850708 0.00083402835 0.0025020852 0.00083402835 0.0020850708 0.00041701418 0.0016680567 0.0012510426 0.0016680567 0.0029190993 0.0012510426 0.0012510426 0.0016680567 0.00083402835 0.0041701416 0.14637198 0.0037531275 0.0045871558 0.0029190993 0.0029190993 0.010008341 0.0012510426 0.0029190993 0.0045871558 0.0050041704 0.03586322 0.0012510426 0.010008341 0.01501251 0.0054211845 0.0016680567 0.0045871558 0.35446206 0.014178482 0.0025020852 0.0016680567 0.037531275 0.0016680567 0.00083402835 0.0020850708 0.03169308 4.0134964 0.0 0.0 0.0 1.0 131072.0 114688.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 975612200.0 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 20.0 4.0 0.0 4.0 0.0 4096.0 4096.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.33729008 0.0 3.754669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 104964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104964.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13216841 0.008507562 0.026414683 0.00796078 0.006012289 0.0029331627 0.0018488656 0.0018882526 0.009538571 0.0017075363 0.0018581331 0.0015824251 0.0038529618 0.0013298858 0.0010796634 0.0042259786 0.004274633 0.00095686904 0.0012024577 0.001179289 0.002080553 0.002337726 0.00085260975 0.000810906 0.0018303307 0.00089663034 0.0007645685 0.0010078403 0.0016565651 0.0007761529 0.0009869884 0.0009916222 0.0042306124 0.00070432975 0.0008595603 0.00081322284 0.0046383822 0.0014202439 0.0007807866 0.0008248072 0.002064335 0.0012765977 0.0011491696 0.00197166 0.0038969824 0.0017214376 0.0013576883 0.00080163847 0.004497053 0.002302973 0.002228833 0.00819015 0.002706109 0.0018558162 0.0023747962 0.0021616437 0.0034197064 0.002101405 0.0020851868 0.0030883935 0.0026481873 0.0023608948 0.0016496144 0.0016310795 0.005029934 0.001253429 0.0011700215 0.0015708407 0.003614324 0.023754911 0.0016727832 0.0013437871 0.0018419151 0.0015523058 0.00083175785 0.000903581 0.0024049154 0.003927102 0.00097540405 0.0009846715 0.011394388 0.002488323 0.001399392 0.0034706776 0.002265903 0.011032955 0.0027478128 0.0019067875 0.0022867548 0.0044808346 0.002634286 0.0024535698 0.0019994625 0.0031764347 0.0018002113 0.0014341451 0.0016635157 0.0018164294 0.00086651096 0.0014410958 0.006559071 0.0034706776 0.0017608245 0.0010008897 0.007309738 0.0023516275 0.0064015235 0.00088041223 0.0029795002 0.0012603796 0.0021917631 0.0020875037 0.0017839932 0.00074139977 0.0022844381 0.0017654581 0.0062717786 0.006869532 0.001086614 0.0013159845 0.0017214376 0.0012024577 0.000681161 0.0007274985 0.001955442 0.00189752 0.0011839228 0.00088041223 0.0034799452 0.0024605205 0.0007807866 0.007610932 0.00394332 0.014350719 0.0007668854 0.00073908287 0.0018697175 0.008127595 0.0013414702 0.037836872 0.0018697175 0.026018498 0.0008387085 0.000773836 0.0021338412 0.00064177415 0.00076920225 0.0006232392 0.0015499889 0.003612007 0.00070664665 0.00073676603 0.0020388493 0.0010240584 0.0006950623 0.00070896355 0.0017376557 0.00085029285 0.0006301898 0.00072518166 0.0015499889 0.0028960928 0.00050044485 0.0010240584 0.0018511825 0.00066957664 0.0006464079 0.0006510417 0.0014040258 0.0006325067 0.00070896355 0.0006209223 0.0018002113 0.00056068355 0.00066957664 0.00073444913 0.0021153062 0.0009684534 0.0007668854 0.0010495441 0.0016287626 0.0013762233 0.00067652727 0.00076920225 0.0066424785 0.002634286 0.007879689 0.00091053155 0.0017654581 0.0011352684 0.0009985728 0.0008919966 0.010365696 0.0012719639 0.0014434126 0.005898762 0.0028358542 0.0006186054 0.002580998 0.0020898206 0.0027292778 0.0020388493 0.00065799226 0.0011584371 0.0018905693 0.0026250186 0.0029702329 0.003408122 0.0051874816 0.002909994 0.0048584854 0.007300471 0.0020851868 0.0006510417 0.000993939 0.00084797596 0.004147205 0.0007993216 0.000792371 0.0020990882 0.0022728536 0.00076920225 0.0008827291 0.0006325067 0.0033849534 0.0008363916 0.0006834779 0.0011375853 0.0030073028 0.0016125445 0.00069042854 0.0006672598 0.039002262 0.002692208 0.0008387085 0.0036954144 0.004823732 0.00080395536 0.00073444913 0.0007112804 0.0047287405 0.00080163847 0.00093138346 0.00086651096 0.0042491476 0.0006857948 0.001290499 0.0030976608 0.0065891906 0.0011538034 0.003686147 0.008380135 0.014033307 0.0090450775 0.010467638 0.10619393 0.00952381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021937778 2.3251489e-05 1.6276043e-05 5.812872e-06 3.138951e-05 1.3950893e-05 3.4877234e-05 2.092634e-05 2.325149e-06 2.325149e-06 4.650298e-06 8.138021e-06 1.5113467e-05 1.1625744e-06 3.4877232e-06 3.4877232e-06 0.0042457217 3.0226935e-05 5.4640997e-05 1.5113467e-05 3.2552085e-05 2.3251489e-05 6.3941596e-05 3.371466e-05 3.7202382e-05 5.812872e-06 2.325149e-06 1.7438617e-05 3.952753e-05 2.4414063e-05 9.300596e-06 0.00012672061 0.0039841426 4.99907e-05 4.99907e-05 1.8601191e-05 3.952753e-05 2.2088914e-05 6.975447e-05 3.8364957e-05 1.3950893e-05 2.092634e-05 1.1625744e-05 3.0226935e-05 3.952753e-05 3.6039808e-05 9.300596e-06 0.00032784598 0.003687686 3.371466e-05 9.8818826e-05 5.9291295e-05 1.6276043e-05 2.3251489e-05 2.4414063e-05 2.3251489e-05 2.092634e-05 1.5113467e-05 1.3950893e-05 2.6739212e-05 6.859189e-05 0.00020112537 2.092634e-05 0.00042782738 0.0052676247 9.8818826e-05 7.324219e-05 9.416853e-05 0.00022553944 0.00015694754 0.000491769 0.00030110677 0.00014764695 2.906436e-05 1.9763766e-05 4.417783e-05 7.2079616e-05 4.5340403e-05 1.9763766e-05 5.580357e-05 0.003422619 9.416853e-05 0.00016624814 8.138021e-05 0.00020577566 4.6502977e-05 0.00016043527 0.00015229725 9.416853e-05 3.0226935e-05 3.8364957e-05 2.3251489e-05 2.5576637e-05 2.4414063e-05 0.00010230655 9.416853e-05 0.0051118396 5.6966146e-05 0.00016508557 0.00013485864 0.0011590867 0.0007219587 0.0039202007 0.0020391555 0.00019414992 1.7438617e-05 2.3251489e-05 6.045387e-05 0.00026971727 0.00015811012 7.4404765e-05 0.00017903646 0.0026099796 9.765625e-05 0.00019647507 0.00069289433 0.00012904576 6.161645e-05 7.672991e-05 5.4640997e-05 0.00011858259 4.8828126e-05 6.277902e-05 7.556734e-05 9.99814e-05 0.00031505767 5.3478423e-05 6.859189e-05 0.004976981 0.00025576638 0.0003127325 0.00032900856 0.00069754466 0.00025809152 0.00035458518 0.00022321429 0.0010300409 0.0003778367 0.00014183408 0.00023832775 0.00020810081 0.0002952939 0.0003813244 0.0018240792 0.008526321 0.001406715 0.0017461868 0.015388997 0.0018240792 0.0014706566 0.0028424945 0.0021589007 0.0032226562 0.0013939267 0.0015276228 0.0017159599 0.0014288039 0.0014950706 0.0024181549 0.008576311 0.016453916 0.0014660063 0.0030122304 0.0018787202 0.004179455 0.0034551711 0.0031122116 0.0021809896 0.012824358 0.0026378813 0.0013881138 0.003209868 0.002961077 0.0025518509 0.00456543 0.02221796 0.061085146 0.007120768 0.008599563 0.008971587 0.01802339 0.018526785 0.0120442705 0.009842355 0.043770928 0.006881278 0.004894438 0.0109061105 0.014785621 0.012422107 0.024715168 0.06836286 0.08070708 0.011492048 0.013646298 0.016216751 0.025941685 0.03187198 0.020503161 0.014896066 0.051159088 0.0073021296 0.008398438 0.015487816 0.024211774 0.019320823 0.03261835 0.073845565 0.00066499255 0.0003731864 0.00038829984 0.00040341332 0.00043712798 0.00042782738 0.00038829984 0.0004080636 0.0004940941 0.00042085192 0.00036621094 0.0004127139 0.00043015252 0.00040108818 0.00048711867 0.0006394159 1703.0 11.669994 19874.0 0.022340747 0.0013585589 0.002616484 0.0015598269 0.002918386 0.001459193 0.0020126798 0.0035725068 0.0073965983 0.006591527 0.001660461 0.0032202879 0.0034215557 0.0024152158 0.013937809 0.0031196538 0.016705243 0.01590017 0.019019825 0.016856194 0.012076079 0.010918789 0.013988125 0.013484955 0.013484955 0.013032102 0.011925128 0.018566972 0.010667203 0.012981785 0.011321324 0.007849451 0.0037737747 0.009711181 0.0034718728 0.009107376 0.0062393076 0.010566569 0.0068934285 0.0067927944 0.0037234577 0.0084532555 0.0020126798 0.0028680689 0.0073965983 0.0077488176 0.0056355037 0.0050317 0.00855389 0.033712387 0.0070946966 0.019925531 0.01021435 0.0034718728 0.008654524 0.012025762 0.0035221898 0.0076985005 0.0046291635 0.0070443796 0.0056355037 0.0070946966 0.0063902587 0.0063902587 0.0032706049 0.024655329 0.0052832845 0.016906511 0.020026164 0.058719937 0.007849451 0.009660863 0.009258327 0.02646674 0.0032202879 0.0069940626 0.031649392 0.011774178 0.027422763 0.029837979 0.008000403 0.0015598269 0.030139882 0.021435041 0.038240917 0.0130824195 0.0069437455 0.0077991346 0.0045788465 0.009610547 0.0033712387 0.0040253596 0.0016101439 0.0039750426 0.0019623628 0.00080507196 6.1139245 0.0 0.0 0.0 33.0 431616.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6571417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6968727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.414322 0.0 0.0 0.0 0.0 0.0 0.0 -4.057429 6.7841635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6848.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.13127552 0.014336474 0.004653609 0.0048060776 0.006195973 0.004759674 0.004030476 0.0035841186 0.0059286007 0.0034051335 0.0035178277 0.00342944 0.0055573722 0.0034493273 0.00271571 0.004755255 0.005723099 0.0028195656 0.0024770633 0.002980873 0.0032548746 0.0034559565 0.00243066 0.0024461278 0.0034780533 0.0026317418 0.0021036256 0.0023599498 0.0027820007 0.002401934 0.002158868 0.0023069172 0.010303788 0.002594177 0.0026184837 0.002565451 0.003796249 0.0033432622 0.0023886757 0.0028350332 0.0026251127 0.0023864661 0.002536725 0.002865969 0.0024859023 0.0026737258 0.0027466456 0.0022914493 0.0037829906 0.002837243 0.002759904 0.0041188635 0.0028836464 0.0036459898 0.0027245488 0.0024814827 0.0028814368 0.003246036 0.0026427903 0.00400175 0.0027112907 0.0032924393 0.002536725 0.0025345155 0.004675706 0.007161608 0.0050646113 0.003559812 0.0049209814 0.0073604803 0.008701762 0.003601796 0.003659248 0.0038404427 0.0027179196 0.0027002422 0.0037387968 0.00428901 0.0042160903 0.004085718 0.005917552 0.0034051335 0.004297849 0.005674486 0.0038625395 0.0039288304 0.0046248827 0.0044635753 0.0028350332 0.0045276564 0.0024350793 0.0028593398 0.002731178 0.0032283582 0.0031996323 0.0045696404 0.0028858562 0.0044193817 0.0030272764 0.003531086 0.006797009 0.0060147783 0.0038161362 0.0031554385 0.004845852 0.004222719 0.004426011 0.0026715163 0.003880217 0.0034073433 0.0045232372 0.0044348496 0.0036923934 0.0023135464 0.004775142 0.004532076 0.007875338 0.008021178 0.0029963409 0.0029676147 0.0032283582 0.002823985 0.002194223 0.0022163198 0.0026847743 0.0032283582 0.0025455637 0.002408563 0.0033476816 0.0023908855 0.0020550124 0.0068213157 0.0028814368 0.004974014 0.0023400625 0.0019180116 0.0031731161 0.0052259187 0.0025544027 0.010462886 0.0023245947 0.0043685585 0.0018428821 0.0019003341 0.0019820926 0.0015821386 0.00171472 0.0017633332 0.0021478194 0.0017301879 0.0016528488 0.0016418003 0.0018274143 0.001679365 0.0015423642 0.002165497 0.0019069632 0.0018340434 0.0017036716 0.0016926231 0.0021058354 0.0023776274 0.002008609 0.0025389348 0.0022914493 0.001973254 0.0020108186 0.0022936591 0.002043964 0.0017611235 0.002379837 0.0019666248 0.0070356554 0.0020771094 0.0022538847 0.0020461737 0.0034117626 0.002207481 0.0017743817 0.0018517209 0.0025676608 0.0021257226 0.0024792731 0.0024174016 0.002245046 0.0030537928 0.0029057434 0.0016992523 0.002021867 0.0020992062 0.002251675 0.0040481538 0.004960756 0.0030847285 0.002759904 0.003774152 0.0033410524 0.002245046 0.0034471177 0.0033543108 0.0026604678 0.00278642 0.0022207394 0.0022627234 0.0051198537 0.002888066 0.0021257226 0.002594177 0.0022759815 0.002037335 0.0021257226 0.0019268504 0.002114674 0.0018097368 0.0024107727 0.0020417543 0.0022671428 0.0018782372 0.001979883 0.0020196575 0.002236207 0.0016882038 0.0020284962 0.001679365 0.0026538386 0.0018959147 0.0018760276 0.0017788011 0.002565451 0.002079319 0.0018605597 0.0019887218 0.007055543 0.002801888 0.0018738178 0.0035995864 0.0031200834 0.002172126 0.002043964 0.0022251587 0.00293005 0.002079319 0.0019820926 0.0020550124 0.002273772 0.0018959147 0.0028350332 0.0021190934 0.0036128445 0.0073450124 0.003387456 0.0020748996 0.0038338136 0.0027753718 0.0033543108 0.05246911 0.013618608 2.2194602e-06 0.0 2.2194602e-06 0.0 0.0 1.1097301e-06 1.1097301e-06 1.1097301e-06 1.1097301e-06 0.0 0.0 3.3291903e-06 0.0 3.3291903e-06 2.2194602e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0047396575 0.0002874201 3.5511363e-05 7.768111e-06 3.3291904e-05 8.322976e-05 0.00026744496 5.8815695e-05 3.8840553e-05 3.3291903e-06 0.00012650923 0.000119850854 5.8815695e-05 7.768111e-06 9.987571e-06 0.016849032 0.006011408 0.00012983843 9.099787e-05 3.9950282e-05 0.00010542436 4.5498935e-05 0.00013094816 7.1022725e-05 1.4426491e-05 3.4401633e-05 5.6596236e-05 1.9975141e-05 2.7743254e-05 9.987571e-06 9.987571e-06 1.9975141e-05 0.0020585493 5.4376775e-05 7.324219e-05 0.00023748225 3.7730824e-05 1.6645952e-05 4.7718397e-05 3.8840553e-05 1.8865412e-05 5.3267046e-05 5.4376775e-05 9.099787e-05 4.7718397e-05 0.00015647194 2.3304332e-05 0.0038085938 0.0037053889 8.877841e-06 2.4414063e-05 5.7705965e-05 0.0011641069 0.00096324575 6.6583807e-06 0.0001509233 1.5536221e-05 8.433949e-05 1.3316761e-05 8.877841e-06 8.877841e-06 0.00014426491 9.543679e-05 0.00036621094 0.013328969 0.00059481536 0.0017733488 0.00025301846 0.0033802378 0.0027743252 0.00027743253 0.0002474698 0.00021084872 9.765625e-05 0.0031505239 0.0012917259 8.988814e-05 8.212003e-05 0.00010098544 0.0041648173 0.011998402 0.0004949396 0.0012473366 0.00044389206 0.0018920898 0.00093550247 0.0006602894 0.00053156074 0.00027854225 0.00012318004 0.0003606623 0.00021972656 0.00023859198 0.00032958985 0.00013760653 0.0073808148 0.0148947975 0.0005726207 0.0013227983 0.0007290927 0.0023215555 0.000588157 0.0027987394 0.001287287 0.00038840555 0.00015203303 0.00015203303 0.00021972656 0.00017311789 0.0001143022 0.00025745737 0.0013006037 0.018125221 0.00087224785 0.0028442382 0.0008900036 0.003149414 0.0016368519 0.004436701 0.0024192117 0.0008977717 0.00033735795 0.00066139916 0.0018943093 0.00049161044 0.00045498935 0.00032848012 0.0037420099 0.016877886 0.0007568359 0.0044522374 0.002573464 0.0040150033 0.0028475674 0.007594993 0.0045920634 0.00069136184 0.0004860618 0.0022915928 0.0014648438 0.0003861861 0.00074684835 0.000472745 0.0042957654 0.012197044 0.0007990057 0.0014493075 0.005052601 0.0016923384 0.0011518998 0.0026178532 0.0021872781 0.00093439274 0.00082120026 0.001965332 0.003609952 0.0005925959 0.00088334514 0.0007057884 0.0019764293 0.0028298118 0.0005482067 0.0009943182 0.00051047583 0.001965332 0.00045387962 0.0016623758 0.0007601651 0.00077126245 0.00027077415 0.0003018466 0.00040838067 0.00044389206 0.00016424006 0.00036954012 0.0011818625 0.034391645 0.007293146 0.003679865 0.0054720794 0.009351696 0.0095625445 0.0048950193 0.008188698 0.017815607 0.0013316761 0.0020252576 0.00242587 0.009844416 0.002298251 0.006623979 0.017982068 0.016867898 0.0044633346 0.0028564453 0.0045376862 0.0062477808 0.0067416104 0.0028875177 0.0059303977 0.009339489 0.0007068981 0.0011663263 0.0014026988 0.005266779 0.0016912287 0.004732999 0.00925182 0.034191895 0.028881837 0.030194646 0.02820712 0.039026987 0.03483554 0.03775302 0.03207897 0.027195046 0.02405895 0.026843261 0.026015403 0.032054555 0.025454989 0.027772106 0.024981136 3553.0 11.448635 40677.0 0.07773434 0.0035155 0.004154682 0.003540084 0.004400521 0.009858151 0.002679647 0.002999238 0.004695528 0.004965951 0.0037613392 0.002925486 0.003859675 0.0081618605 0.007498095 0.004154682 0.008751875 0.0058755563 0.0060722274 0.0054576294 0.005162623 0.005973892 0.005924724 0.0049413675 0.0043021855 0.005728053 0.0057772207 0.004474273 0.0046217763 0.009071466 0.004695528 0.005236374 0.006219731 0.017233325 0.0052117906 0.01022691 0.01693832 0.023551393 0.04887283 0.006195147 0.0058263885 0.012193623 0.0034909162 0.0042776014 0.010325246 0.007940605 0.016544977 0.016987488 0.012955724 0.0048676156 0.022002606 0.020724243 0.012881973 0.007793102 0.007645598 0.00909605 0.0043021855 0.005113455 0.0039825947 0.0028517344 0.0045726085 0.0034909162 0.002974654 0.019224623 0.0034171646 0.022863043 0.0061459793 0.013594906 0.037195466 0.035990857 0.008702707 0.009391056 0.010300661 0.021978023 0.0048430315 0.005310126 0.01580746 0.011554441 0.023280969 0.021928854 0.010792339 0.0028025666 0.026599798 0.023207217 0.026698135 0.0131769795 0.005998476 0.0083339475 0.0070555843 0.0064164023 0.0028025666 0.0033679965 0.0033434127 0.00295007 0.002999238 0.0036630037 6.0619445 0.0 11.0 0.0 9.0 452552.0 499712.0 1.0 0.0 84.0 0.0 1.0 1.0 0.0 0.0 1474653800.0 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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 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 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 307200.0 -57344.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1959705 0.0 0.0 4.974802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1196375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.7258253 -6.59513 0.0 4.270351 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5141.0 0.0 0.0 14586.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 306696.0 -55137.0 0.0 48672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 82236.0 48672.0 450560.0 0.0 0.0 5400.0 447152.0 0.0 0.0 28.0 69984.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 79200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.32063803 0.028125 0.022591146 0.008072916 0.012174479 0.0072265626 0.012239584 0.0063802083 0.012825521 0.005078125 0.015494792 0.004296875 0.005078125 0.0015625 0.0020833334 0.0013020834 0.0065755206 0.012239584 0.007682292 0.002734375 0.0016927083 0.0033854167 0.005924479 0.0013671875 0.0010416667 0.0016276041 0.0026041667 0.00078125 0.00234375 0.001171875 0.0012369792 0.0005859375 0.007682292 0.0029947916 0.0011067708 0.0021484375 0.0015625 0.0009765625 0.0018880208 0.0008463542 0.0053385417 0.0011067708 0.0025390624 0.004166667 0.001171875 0.000390625 0.012369792 0.00032552084 0.005924479 0.0016927083 0.0014973958 0.00234375 0.0012369792 0.00045572917 0.00071614585 0.00052083336 0.0018229167 0.0013020834 0.0006510417 0.0006510417 0.00045572917 0.0009765625 0.00052083336 0.00078125 0.0015625 0.0053385417 0.0029947916 0.0046875 0.0022135417 0.0051432294 0.0016276041 0.0014973958 0.00045572917 0.007747396 0.00045572917 0.00013020834 0.00234375 0.0025390624 0.001953125 0.0011067708 0.0044921874 0.0006510417 0.0035807292 0.005078125 0.004036458 0.008854167 0.0022135417 0.00032552084 0.0014322917 0.0005859375 0.00026041668 0.003515625 0.00026041668 0.00052083336 0.0001953125 0.0051432294 0.0008463542 0.018098958 0.004361979 0.0069661457 0.008268229 0.042252604 0.0012369792 0.0113932295 0.002734375 0.025260417 0.00091145834 0.0014322917 0.013085937 0.006315104 0.030533854 0.018164063 0.0046223956 0.0008463542 0.020833334 0.014518229 0.028971354 0.0072265626 0.0037109375 0.00091145834 0.0022786458 0.007421875 0.0006510417 0.00091145834 0.0001953125 0.0001953125 0.0005859375 0.00045572917 0.004036458 0.00091145834 0.00013020834 0.00032552084 0.00026041668 0.0006510417 0.0033203126 0.0 0.0 0.00026041668 0.00052083336 6.510417e-05 0.00026041668 0.00071614585 0.00026041668 0.00091145834 0.00026041668 0.001171875 0.00026041668 6.510417e-05 0.0005859375 0.00052083336 0.0012369792 0.00013020834 0.0 0.000390625 0.0001953125 0.00013020834 0.0005859375 0.000390625 0.0001953125 6.510417e-05 0.0006510417 0.0006510417 0.00013020834 0.00013020834 0.0001953125 0.00026041668 6.510417e-05 0.00078125 6.510417e-05 0.0008463542 0.00013020834 0.0001953125 0.00032552084 6.510417e-05 0.00013020834 6.510417e-05 0.00013020834 6.510417e-05 0.00026041668 0.0 0.0001953125 0.0001953125 0.00032552084 0.00013020834 0.00032552084 6.510417e-05 0.00045572917 0.00071614585 0.00026041668 0.00013020834 0.0 0.0001953125 0.0008463542 0.00052083336 0.0001953125 0.0 0.000390625 0.00026041668 0.00052083336 0.0 0.0005859375 0.0021484375 0.0001953125 0.00013020834 0.0001953125 0.0005859375 0.0 6.510417e-05 6.510417e-05 0.000390625 0.00026041668 0.0 6.510417e-05 0.0001953125 0.00032552084 0.00032552084 0.00013020834 0.00013020834 0.00013020834 0.00032552084 0.00013020834 0.000390625 0.0 0.00026041668 0.00071614585 6.510417e-05 0.00013020834 0.00026041668 0.0001953125 0.00026041668 0.00013020834 0.0 0.0 0.00078125 6.510417e-05 0.00045572917 6.510417e-05 0.00013020834 6.510417e-05 0.00013020834 0.000390625 0.0001953125 6.510417e-05 6.510417e-05 0.00026041668 0.0001953125 0.0 0.00013020834 0.0001953125 0.00013020834 0.00013020834 0.00032552084 0.00026041668 0.00026041668 0.00026041668 0.0014973958 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05454799 0.00034877233 0.0012555803 0.0007672991 0.001813616 0.0014648438 0.0077078682 0.0030691964 6.975447e-05 0.0 0.0 6.975447e-05 6.975447e-05 0.0 6.975447e-05 0.00017438616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10588728 0.009870256 0.006905692 0.0037667411 0.008056641 0.007045201 0.04119001 0.021135602 0.0035226005 0.0021275112 0.00059291295 0.0008370536 0.00080217636 0.00059291295 0.0007324219 0.0012207031 0.14732143 0.013532366 0.012416295 0.007254464 0.01007952 0.011997768 0.039376397 0.022007534 0.005126953 0.0028948102 0.0027204242 0.0012904576 0.004045759 0.0019182478 0.0017089844 0.0020228794 0.027204242 0.0004185268 0.004359654 0.0032435826 0.0059291297 0.0028948102 0.019845145 0.0070103235 0.0001046317 0.0 3.4877234e-05 6.975447e-05 6.975447e-05 0.0 6.975447e-05 0.00017438616 0.105433874 0.03023856 0.02291434 0.0074986047 0.01789202 0.019914899 0.093959264 0.04586356 0.0043945312 0.0015345982 0.00163923 0.0012207031 0.0020228794 0.0007672991 0.0010811941 0.0007672991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 276.0 18.210144 5026.0 0.004576204 0.0049741347 0.00039793077 0.00059689616 0.0009948269 0.00019896538 0.0 0.00039793077 0.0 0.0 0.0 0.0 0.00079586153 0.0 0.024671707 0.0 0.010147234 0.0035813767 0.0027855153 0.0013927576 0.0009948269 0.00079586153 0.00039793077 0.0009948269 0.00039793077 0.00039793077 0.0011937923 0.0 0.00019896538 0.00059689616 0.00019896538 0.0 0.00019896538 0.014524473 0.0075606843 0.0127337845 0.0049741347 0.012534819 0.0019896538 0.0035813767 0.0 0.021289296 0.0 0.00019896538 0.0051730997 0.0059689614 0.0037803422 0.0017906884 0.012335854 0.00019896538 0.008754477 0.0127337845 0.009948269 0.016514126 0.0029844807 0.00079586153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014524473 0.00039793077 0.04994031 0.00775965 0.019498607 0.02367688 0.11500199 0.0029844807 0.032033425 0.006764823 0.06764823 0.00079586153 0.0031834461 0.036808595 0.014723438 0.088141665 0.04098687 0.012136888 0.00079586153 0.06028651 0.03879825 0.08495822 0.016912058 0.009550339 0.0025865498 0.0051730997 0.020891365 0.00079586153 0.0 0.0 0.0 0.0 0.0 4.9140162 0.0 0.0 0.0 1.0 15360.0 40960.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 13312.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.647494 0.0 2.5235999 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13076.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 21180.0 1024.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.79138744 0.0008673959 0.0008597198 0.00085204374 0.00093648053 0.00088274805 0.0009671848 0.00071387447 0.0008597198 0.00072155055 0.0008597198 0.00085204374 0.00075225485 0.000660142 0.00084436766 0.00088274805 0.0009671848 0.0008213395 0.00075993093 0.0008136634 0.00075993093 0.00088274805 0.0008597198 0.000775283 0.0009825369 0.0007829591 0.00070619845 0.00089810014 0.0008366916 0.0008597198 0.000775283 0.000767607 0.00071387447 0.0007829591 0.00075225485 0.0006985224 0.0008904241 0.00067549414 0.0008213395 0.0006524659 0.000767607 0.0008597198 0.00085204374 0.00079831126 0.00088274805 0.000767607 0.0009134523 0.00075993093 0.0008366916 0.0008597198 0.00079831126 0.00082901557 0.0009441566 0.0007906352 0.0007445788 0.00080598734 0.00075225485 0.00075225485 0.0007292266 0.00084436766 0.00080598734 0.00092880445 0.0009057762 0.0008597198 0.00079831126 0.0007445788 0.00059105735 0.0007292266 0.0008136634 0.0008213395 0.00080598734 0.00084436766 0.000767607 0.0007906352 0.00082901557 0.00093648053 0.00093648053 0.000775283 0.000775283 0.0008597198 0.00088274805 0.00075993093 0.00071387447 0.00070619845 0.00084436766 0.00072155055 0.0007369027 0.0008904241 0.00084436766 0.0008213395 0.000775283 0.0008366916 0.00085204374 0.0009134523 0.00075993093 0.0009441566 0.0009441566 0.0007906352 0.00088274805 0.0008366916 0.00092880445 0.0007829591 0.00082901557 0.0007369027 0.0007906352 0.0007906352 0.0008597198 0.0008136634 0.00080598734 0.00089810014 0.0008597198 0.0008136634 0.00085204374 0.00082901557 0.00075993093 0.0009441566 0.0008366916 0.00079831126 0.00067549414 0.00092880445 0.0009211284 0.0007369027 0.00075225485 0.00084436766 0.0007369027 0.0008366916 0.00080598734 0.00085204374 0.0007445788 0.00084436766 0.00067549414 0.000775283 0.00075225485 0.0007292266 0.0007445788 0.00071387447 0.0010132412 0.0008366916 0.00080598734 0.00079831126 0.0009671848 0.00092880445 0.0007829591 0.00088274805 0.000875072 0.0007292266 0.0008597198 0.00079831126 0.0010132412 0.0008213395 0.0007369027 0.0008597198 0.0008366916 0.00089810014 0.00085204374 0.00071387447 0.0009211284 0.00075225485 0.0008213395 0.00080598734 0.0007906352 0.0008136634 0.0007906352 0.00070619845 0.00082901557 0.00075225485 0.0006985224 0.00075993093 0.00084436766 0.0009134523 0.00070619845 0.0007829591 0.000775283 0.00084436766 0.0008904241 0.0008366916 0.0007906352 0.0007906352 0.0008597198 0.0007829591 0.00092880445 0.00089810014 0.0006908463 0.0007292266 0.0009134523 0.0008597198 0.00079831126 0.000875072 0.0006908463 0.000775283 0.00092880445 0.000775283 0.0006447899 0.00075993093 0.0006985224 0.0009134523 0.000875072 0.0007445788 0.00075993093 0.00070619845 0.0009211284 0.000767607 0.0007829591 0.00089810014 0.0007369027 0.00071387447 0.0007445788 0.0009057762 0.0007445788 0.00085204374 0.00093648053 0.0008597198 0.0007829591 0.0007829591 0.0009134523 0.00067549414 0.0007829591 0.0007829591 0.00062943774 0.0008904241 0.00093648053 0.00097486086 0.000660142 0.0007369027 0.00089810014 0.0007369027 0.0008136634 0.0008136634 0.00075993093 0.0009671848 0.00075225485 0.00075993093 0.0009518327 0.0008673959 0.00067549414 0.0009211284 0.00075225485 0.0008366916 0.00084436766 0.0006985224 0.0007829591 0.0007445788 0.00088274805 0.000875072 0.00085204374 0.0008673959 0.00084436766 0.0009057762 0.0008597198 0.0007906352 0.00079831126 0.00082901557 0.0007445788 0.0009057762 0.0010592976 0.0013586644 0.7619048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015283979 3.875248e-05 1.5500993e-05 2.3251489e-05 4.6502977e-05 2.3251489e-05 2.3251489e-05 3.875248e-05 2.3251489e-05 6.200397e-05 6.975447e-05 4.6502977e-05 3.875248e-05 3.875248e-05 3.875248e-05 6.200397e-05 0.0074249753 7.7504965e-06 1.937624e-05 3.4877234e-05 3.4877234e-05 1.1625744e-05 1.1625744e-05 1.5500993e-05 0.00010075645 3.8752482e-06 2.3251489e-05 2.7126736e-05 6.975447e-05 3.875248e-05 4.262773e-05 6.975447e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003952753 0.00017438616 0.0003061446 0.00025189112 0.00021701389 0.00029451886 0.00020538815 0.00023639013 0.00044177828 0.00014338418 0.00014725943 0.00016663567 0.0002673921 0.00019763765 0.00025189112 0.00068204367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026002915 0.000484406 0.00032939608 0.00036427332 0.00043402778 0.00038364955 0.0004107763 0.00039915054 0.0002906436 0.00038364955 0.00031001985 0.00032939608 0.00028676837 0.0002983941 0.0003061446 0.00032552084 0.012517051 0.012462798 0.011920263 0.012559678 0.0120442705 0.012315538 0.012637184 0.012396919 0.0122109065 0.012714689 0.012226407 0.012582931 0.011935764 0.0124279205 0.012462798 0.012997582 130.0 5.7 741.0 0.014844804 0.008097166 0.012145749 0.0067476383 0.009446694 0.008097166 0.008097166 0.0053981105 0.009446694 0.009446694 0.008097166 0.008097166 0.0053981105 0.008097166 0.022941971 0.008097166 0.0053981105 0.0067476383 0.010796221 0.010796221 0.012145749 0.009446694 0.010796221 0.008097166 0.014844804 0.009446694 0.0053981105 0.008097166 0.012145749 0.008097166 0.014844804 0.0067476383 0.009446694 0.014844804 0.008097166 0.008097166 0.008097166 0.018893387 0.009446694 0.008097166 0.004048583 0.016194332 0.012145749 0.018893387 0.010796221 0.013495277 0.0026990552 0.014844804 0.018893387 0.012145749 0.012145749 0.0067476383 0.013495277 0.010796221 0.009446694 0.013495277 0.0067476383 0.0053981105 0.004048583 0.013495277 0.008097166 0.012145749 0.013495277 0.014844804 0.009446694 0.013495277 0.012145749 0.0067476383 0.018893387 0.014844804 0.0067476383 0.014844804 0.009446694 0.010796221 0.010796221 0.009446694 0.012145749 0.012145749 0.013495277 0.008097166 0.009446694 0.0013495276 0.012145749 0.013495277 0.014844804 0.010796221 0.0053981105 0.008097166 0.018893387 0.010796221 0.013495277 0.012145749 0.0013495276 0.009446694 0.0053981105 0.009446694 6.4747677 0.0 0.0 0.0 1.0 130275.0 106496.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1228623200.0 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 0.0 512.0 512.0 4096.0 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 -98816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0369592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.18628262 0.013998906 0.008825327 0.006589235 0.010499984 0.0050448827 0.0031868345 0.0038351405 0.013049773 0.002599659 0.0024886588 0.002149223 0.0060004503 0.0016601783 0.0018516135 0.0045252726 0.0068723657 0.0013078729 0.0010746114 0.0011952639 0.0038673144 0.0018371352 0.0017567002 0.0011276986 0.0031594865 0.0008461761 0.00091374153 0.0007963064 0.0023776584 0.00071748014 0.0008960458 0.00087513274 0.0056079277 0.00062900165 0.0009330459 0.00062256685 0.0047842734 0.0014140472 0.0007206975 0.00056626234 0.0018950484 0.0006692191 0.0006708278 0.0017743959 0.0019095268 0.0008703066 0.0010730028 0.00046330557 0.004496316 0.00228918 0.0023840931 0.0116968565 0.0035439658 0.0024307454 0.0024516585 0.0023840931 0.004427142 0.0023921367 0.0028586597 0.004362794 0.0033911392 0.0025900067 0.0021315273 0.0020430489 0.0062337117 0.0031755734 0.004052315 0.009187285 0.0066391043 0.019801486 0.0068144524 0.0034764004 0.008333066 0.0014478299 0.0010553071 0.0015266562 0.0020333966 0.0041391845 0.0014188733 0.0018451788 0.008773849 0.0026672243 0.0028570509 0.008344326 0.0041874456 0.0090601975 0.0052009267 0.0036147486 0.0022409188 0.004240533 0.0018290917 0.004724751 0.0015073518 0.0045847944 0.0041037933 0.0026720504 0.0015829606 0.0041407933 0.0010697854 0.002342267 0.006748496 0.007268106 0.004509186 0.0020945272 0.005652971 0.003918793 0.003627618 0.0010376114 0.004203533 0.002154049 0.005181622 0.0055226665 0.0032930085 0.00038930535 0.004866317 0.0036083139 0.014679386 0.007475628 0.0011083942 0.0012933947 0.0026929635 0.0014928734 0.0006257842 0.0009909591 0.001993179 0.002358354 0.001340047 0.0011936553 0.008053152 0.0013722209 0.0005244361 0.0114458995 0.003864097 0.004721534 0.0019738746 0.0005244361 0.0027878769 0.011032464 0.0023245714 0.05319166 0.0011759596 0.005681928 0.00040378366 0.0006772626 0.011330073 0.00041826197 0.00059521897 0.0008268717 0.0011389595 0.0007576976 0.00046652296 0.00033621828 0.0009990026 0.00038287055 0.00042469677 0.00050995784 0.0009829156 0.00044882725 0.00052282744 0.00029439208 0.0012853512 0.0023438756 0.00036034876 0.00070621923 0.00084456743 0.0005807406 0.00035713136 0.00036195747 0.0010376114 0.00040700106 0.0006193494 0.00036517487 0.0011244812 0.00042469677 0.00035874007 0.00040056626 0.0024194845 0.000632219 0.0012177858 0.0007882629 0.0013496992 0.00039413146 0.00058234937 0.0009410894 0.0024934849 0.0013931341 0.002047875 0.0013255686 0.0010906985 0.00058878417 0.00079308904 0.00059682765 0.00842637 0.0011968727 0.0016843088 0.011877031 0.0045944466 0.00053247967 0.004647534 0.003392748 0.0022923972 0.0015298736 0.0008220456 0.0007576976 0.0016843088 0.00039413146 0.0007882629 0.00051639264 0.0027460507 0.0009040893 0.002620572 0.0015041344 0.0018130047 0.00046330557 0.0016907435 0.001018307 0.005032013 0.0007255236 0.0010955246 0.002245745 0.0016408738 0.00068691483 0.00068530615 0.00064187124 0.002046266 0.00060165377 0.000889611 0.00057752326 0.0016392651 0.0013368296 0.00060808857 0.00050191436 0.023438757 0.0026237895 0.0006756539 0.0049370998 0.004645925 0.00053408835 0.00065956695 0.0006563495 0.005321579 0.00071587146 0.0015379171 0.0015781346 0.0036646184 0.00054052315 0.0025176152 0.0013818732 0.005841189 0.0011888292 0.0013496992 0.0014462211 0.00846337 0.0014478299 0.002680094 0.03794762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014592035 2.0143616e-05 1.5309148e-05 1.4503404e-05 1.2891915e-05 4.673319e-05 1.4503404e-05 1.2891915e-05 1.2891915e-05 4.8344677e-06 6.4459573e-06 4.8344677e-06 8.863191e-06 4.8344677e-06 6.4459573e-06 4.8344677e-06 0.005645047 4.7538935e-05 8.621468e-05 4.915042e-05 7.493425e-05 0.00014181106 0.0001353651 0.00013133638 3.5452766e-05 3.3841276e-05 2.417234e-05 2.3366594e-05 8.29917e-05 4.4315955e-05 2.0949361e-05 2.417234e-05 0.0025638794 0.00016195467 4.915042e-05 3.1424042e-05 3.2229786e-05 7.815723e-05 0.00013858808 7.896298e-05 2.578383e-05 2.0143616e-05 1.6920638e-05 1.8532126e-05 2.1755106e-05 1.8532126e-05 1.7726383e-05 2.6589572e-05 0.0036967564 7.574e-05 3.464702e-05 0.00010635829 0.00013858808 7.0099784e-05 3.0618296e-05 3.464702e-05 0.0001426168 0.0001426168 4.1092975e-05 7.251702e-05 5.3179145e-05 5.23734e-05 3.7064252e-05 0.00022157977 0.019316921 0.0013858808 0.0011151506 0.00019579595 0.0011522148 0.0003593621 0.0031222606 0.0015381665 0.00015470297 0.00015631446 0.00017887531 0.0002489751 0.00031826913 0.0004060953 0.00016920637 0.0015349436 0.01448326 0.00065909914 0.00044477105 0.00035855637 0.0023648606 0.00085489504 0.0051140613 0.0024905566 0.00025783828 0.00028120488 0.00015309147 0.0002022419 0.00021191084 0.00016678913 0.00017565233 0.0014841816 0.0052349227 0.00032390933 0.00042543316 0.002795934 0.0005503236 0.00021191084 0.00052292825 0.00043751934 0.0006808542 0.00014906276 0.00013294787 3.8675742e-05 0.00017887531 0.00039239763 0.00015309147 0.0009725338 0.013690407 0.0007694861 0.0012867742 0.0018999459 0.0038893293 0.0016477478 0.007864067 0.004275281 0.0011215965 0.0003287438 0.00023527743 0.00022157977 0.00044718827 0.00041656996 0.00035613912 0.0011538264 0.04098017 0.0036008728 0.003858711 0.028680481 0.013453518 0.0050939177 0.01457592 0.008605353 0.0055394946 0.0026702378 0.0027580638 0.00280238 0.0035573626 0.0029949527 0.0031472386 0.006196176 0.017656282 0.0014455059 0.0009991233 0.0011868619 0.006406476 0.0024929738 0.0054355534 0.003130318 0.00379264 0.00091774313 0.00052212254 0.0013327016 0.0014648438 0.001012821 0.0018161484 0.003193166 0.065322526 0.0082613 0.0056974203 0.007061546 0.021816341 0.020951778 0.009846199 0.010700289 0.037347876 0.0055507747 0.0023995074 0.0056023425 0.0131143 0.0069108717 0.014630711 0.022211963 0.08159534 0.0129040005 0.010614879 0.01350428 0.031413566 0.03877243 0.014314859 0.01801081 0.060821634 0.010201532 0.005114867 0.008104986 0.025746765 0.013134443 0.025918387 0.040718306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5665.0 10.602648 60064.0 0.014501199 0.00073255197 0.002380794 0.00071590306 0.004678343 0.0011321257 0.0016149441 0.0005827118 0.0037793021 0.0011654235 0.0023974427 0.0009489877 0.0031799413 0.0016981886 0.005594033 0.0007824987 0.010322323 0.008257858 0.009106953 0.030417554 0.010655301 0.0076252 0.008157965 0.00854089 0.01173748 0.0076917955 0.009573122 0.009972696 0.0085575385 0.0076252 0.007958178 0.0069592437 0.0040623336 0.00807472 0.008940464 0.019162893 0.015516782 0.009739611 0.009939398 0.0040290356 0.008457645 0.008407698 0.0011321257 0.002147709 0.0073588174 0.008907165 0.003945791 0.01158764 0.010738545 0.0017148375 0.0057105753 0.017098429 0.019595765 0.004478556 0.0025805808 0.004678343 0.0030301013 0.0054941396 0.0019645712 0.005244406 0.0028303142 0.004495205 0.0052111084 0.007725093 0.0025805808 0.034646377 0.0072922218 0.019412627 0.021077517 0.062899575 0.0058604158 0.012619873 0.014501199 0.032815 0.0020644646 0.0070258393 0.03080048 0.014917421 0.045235083 0.04836508 0.019429276 0.0009489877 0.040007327 0.023608152 0.0601858 0.013535562 0.004911428 0.007991476 0.009956047 0.0076584974 0.00198122 0.00036627598 0.0027304208 0.0004162227 0.0006160096 0.00049946725 5.8622065 0.0 0.0 0.0 1.0 621620.0 659456.0 0.0 20.0 368.0 1.0 1.0 0.0 1.0 0.0 1167384000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 499712.0 1536.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -33792.0 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 -43520.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 -499200.0 -9728.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.631658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.20448816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.552728 0.0 0.0 0.0 0.0 0.0 3.4075575 0.0 0.0 -6.496418 -5.190558 5.1544285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -499712.0 -12288.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 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 -1.0 1.0 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 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 1.0 0.0 -2.0 1.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 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 2.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 2.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 567.0 585728.0 9602.0 573440.0 31232.0 589824.0 0.0 0.0 0.0 0.0 33472.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 569344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.32341453 0.021932445 0.0045726104 0.004365809 0.003929228 0.0055951285 0.0026424632 0.0037109375 0.005859375 0.0034466912 0.0025045956 0.0013901654 0.0016544118 0.0027113971 0.0013901654 0.0057904413 0.0052504595 0.001183364 0.0010569853 0.0015165441 0.0020335477 0.006675092 0.0012293198 0.0011144301 0.0034466912 0.0024816177 0.0007008272 0.00068933825 0.00068933825 0.0006663603 0.0005629596 0.00068933825 0.009409467 0.0005974265 0.00087316177 0.00053998164 0.013867187 0.0012293198 0.00045955883 0.0013671875 0.003056066 0.00037913604 0.00034466913 0.00095358456 0.0009995404 0.002355239 0.0018956801 0.00031020222 0.0045955884 0.001183364 0.0010454963 0.005032169 0.0013901654 0.00043658089 0.00045955883 0.00053998164 0.0029296875 0.002022059 0.00048253677 0.0018497242 0.0005284927 0.0009420956 0.00040211398 0.0010340074 0.009317555 0.007398897 0.0014361213 0.00234375 0.0063878675 0.0056525734 0.0011144301 0.0009765625 0.046266086 0.00591682 0.00048253677 0.00095358456 0.0086856615 0.0045381435 0.0008157169 0.0009076287 0.0035615808 0.00034466913 0.0014590992 0.0020335477 0.003492647 0.0021714154 0.0017693015 0.0048253676 0.0020680148 0.00065487134 0.0003561581 0.0009765625 0.0028607536 0.0009995404 0.0011029412 0.0029296875 0.0032858455 0.0049287686 0.0012408089 0.004388787 0.00435432 0.009122242 0.0025735295 0.0015969669 0.0025275736 0.004733456 0.0001953125 0.0008616728 0.0045266543 0.002688419 0.004618566 0.0073414524 0.0054227943 0.00037913604 0.0077090994 0.005204504 0.013074448 0.005204504 0.0009995404 0.0013212316 0.0032513787 0.0019875919 0.0005514706 0.00080422795 0.0012522978 0.0009420956 0.0005629596 0.0006663603 0.01005285 0.0008616728 0.00037913604 0.009145221 0.0024816177 0.009420956 0.00021829044 0.000390625 0.0021484375 0.009960937 0.0007008272 0.030951288 0.0008157169 0.00792739 0.00028722428 0.00041360295 0.0020335477 0.0002757353 0.000390625 0.0005170037 0.000792739 0.000792739 0.00018382353 0.00041360295 0.0007123162 0.00040211398 0.0005170037 0.00036764707 0.0007008272 0.00021829044 0.00025275737 0.00034466913 0.0024126838 0.0005629596 0.0006663603 0.0005170037 0.000792739 0.0003216912 0.00045955883 0.0008157169 0.0011144301 0.00057444855 0.00085018383 0.0007582721 0.0008961397 0.00083869486 0.0009076287 0.00073529413 0.001528033 0.00028722428 0.00041360295 0.00024126838 0.0005514706 0.00033318016 0.00021829044 0.0007008272 0.0025850183 0.0012982537 0.00045955883 0.0009306066 0.0006318934 0.00024126838 0.00048253677 0.00068933825 0.008249081 0.0013327206 0.0006778493 0.0040785847 0.0031939337 0.0002757353 0.0010225184 0.0021714154 0.0020450368 0.0029986214 0.0007467831 0.0010225184 0.033214614 0.00050551473 0.0012867647 0.0013327206 0.0018612132 0.00057444855 0.0017578125 0.00048253677 0.0003561581 0.00025275737 0.00045955883 0.0012063419 0.0033892463 0.00091911765 0.00057444855 0.0013212316 0.00041360295 0.0003216912 0.00040211398 0.0005514706 0.0022977942 0.00034466913 0.00042509192 0.00036764707 0.00060891546 0.00022977941 0.0003561581 0.0003561581 0.005939798 0.0018382353 0.00065487134 0.0030330883 0.0026424632 0.00062040443 0.00042509192 0.0003561581 0.002355239 0.0008616728 0.00057444855 0.000390625 0.0005974265 0.00031020222 0.0014590992 0.0010110295 0.0027803308 0.0009880515 0.0008272059 0.00031020222 0.00062040443 0.0005629596 0.0017003677 0.033743106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011579241 1.1625744e-05 5.812872e-06 5.812872e-06 2.3251489e-05 0.0 5.812872e-06 2.906436e-05 0.00011044457 0.0 1.7438617e-05 0.0 2.3251489e-05 1.1625744e-05 6.975447e-05 1.1625744e-05 0.011137463 1.1625744e-05 2.906436e-05 2.906436e-05 0.00012207031 5.812872e-05 0.00023832775 0.00012207031 6.3941596e-05 0.0 2.906436e-05 0.0 2.906436e-05 0.0 3.4877234e-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 0.0 0.019426618 4.0690105e-05 0.00034295945 0.00022088914 0.00040690103 0.00012207031 7.556734e-05 9.3005954e-05 0.00012788319 9.3005954e-05 8.719308e-05 0.0001046317 4.6502977e-05 0.00020345052 0.00030226936 0.0021158855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062046595 0.0025576637 0.0021042596 0.0010753813 0.0016624813 0.00080217636 0.0036562965 0.002086821 0.0022379558 0.00048828125 0.00058710005 0.0005173456 0.0003778367 0.0011102585 0.00071498327 0.0013078962 0.053344727 0.0016101656 0.002086821 0.0010056269 0.0022030785 0.0013834635 0.0073707215 0.0043247766 0.0034644718 0.000773112 0.00069754466 0.0004359654 0.00070917036 0.0014125279 0.00091843377 0.0015927269 0.045410156 0.0010346912 0.002179827 0.0013602121 0.0036969867 0.0022960845 0.01273019 0.006713867 0.0006045387 0.0008719308 0.0012613932 0.00050571986 0.00055222283 0.000226702 0.00048828125 0.0034005302 0.054193407 0.004045759 0.0029703777 0.003040132 0.005684989 0.0037318638 0.013979957 0.007946196 0.0008079892 0.0006684803 0.0013369606 0.00052315847 0.00084286643 0.0006045387 0.00086030504 0.005905878 0.038969494 0.0030226936 0.0031156994 0.0023484002 0.0045282273 0.0032958984 0.0086553665 0.0061558313 0.0015578497 0.0011102585 0.0031680153 0.00096493674 0.001546224 0.00069754466 0.00094749813 0.0032493954 0.008353097 0.0004127139 0.00042433967 0.00031389509 0.0015694754 0.0013543991 0.002086821 0.0014415922 0.0017031715 0.00055803574 0.00019763765 0.00013950893 0.001273019 0.00023251488 0.0003952753 0.0033540272 0.004603795 0.00055803574 0.0010463169 0.0004359654 0.0026564826 0.0015811012 0.0026913597 0.0021449497 0.0014241537 0.00021507626 0.00016857329 0.00023251488 0.0027436756 0.000226702 0.00036039806 0.0027204242 0.08085705 0.016264416 0.022873651 0.014102028 0.077747166 0.01615397 0.0069754464 0.017554874 0.07089379 0.003819057 0.003133138 0.0074695405 0.054856073 0.009352911 0.0146658765 0.023757208 0.0040166946 0.0005173456 0.0015752884 0.0009881882 0.0038423084 0.00094749813 0.000773112 0.0010172526 0.0040166946 0.00025576638 0.00019182477 0.00034877233 0.0017380487 0.0007672991 0.0007324219 0.0020810082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 647.0 14.302937 9254.0 0.030257186 0.00064836827 0.00010806138 0.00032418413 0.014047979 0.0011886752 0.00021612276 0.0038902096 0.00086449104 0.00021612276 0.00021612276 0.00086449104 0.00043224552 0.014804409 0.012102874 0.00010806138 0.0049708234 0.006483683 0.0027015344 0.00551113 0.0021612276 0.00086449104 0.0009725524 0.0010806138 0.0018370434 0.0072401124 0.00010806138 0.0028095958 0.00086449104 0.0024854117 0.00010806138 0.0066998056 0.01880268 0.03587638 0.003998271 0.011994813 0.011994813 0.010806138 0.0023773503 0.003998271 0.013831857 0.011562567 0.0 0.0009725524 0.01102226 0.0070239897 0.00086449104 0.002593473 0.007888481 0.0010806138 0.00626756 0.008861033 0.010373892 0.008212665 0.012427059 0.029284634 0.0032418414 0.00064836827 0.0010806138 0.0015128592 0.0034579642 0.0037821482 0.0066998056 0.01718176 0.0014047979 0.036308624 0.008861033 0.02982494 0.027663713 0.07164469 0.009293279 0.010914199 0.0052950075 0.035552192 0.00086449104 0.004538578 0.030041063 0.018694619 0.035119947 0.05738059 0.019991355 0.00086449104 0.05489518 0.03684893 0.059001513 0.015993085 0.0046466393 0.0063756215 0.0059433756 0.009617463 0.0018370434 0.00086449104 0.0012967365 0.00064836827 0.00021612276 0.00064836827 5.5436177 0.0 0.0 0.0 2.0 87040.0 106496.0 1.0 4.0 90.0 1.0 1.0 0.0 0.0 0.0 1534995500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 42496.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24064.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3318996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1937957 0.0 0.0 0.0 0.0 4.6434064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.09138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1476483 0.0 2.4803226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23736.0 0.0 0.0 0.0 0.0 2424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42223.0 0.0 10168.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 69168.0 380.0 69344.0 10232.0 90112.0 2424.0 81920.0 0.0 0.0 860.0 102400.0 56.0 60688.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 53264.0 0.0 0.0 864.0 53472.0 64.0 68976.0 0.0 0.0