Input: 0.63583374 0.003982544 0.0011749268 0.0006713867 0.0016174316 0.00033569336 0.0005645752 0.018814087 0.0016784668 0.004348755 0.0004272461 0.0002746582 0.00038146973 0.0005645752 0.0004272461 0.00064086914 0.00093078613 0.0002593994 0.00032043457 0.00015258789 0.00047302246 0.0011138916 0.00024414062 0.00030517578 0.00045776367 0.0005493164 0.00033569336 0.00032043457 0.00050354004 0.0010528564 0.00038146973 0.0007324219 0.0027770996 0.0005187988 0.00062561035 0.0008392334 0.0022888184 0.0011444092 0.000579834 0.00032043457 0.00061035156 0.00039672852 0.00022888184 0.00035095215 0.00033569336 0.00048828125 0.0005340576 0.00061035156 0.0009765625 0.0008239746 0.00050354004 0.00062561035 0.0007324219 0.0004272461 0.00047302246 0.000579834 0.0008239746 0.00074768066 0.00045776367 0.0005950928 0.00048828125 0.00050354004 0.00065612793 0.00088500977 0.0038757324 0.0010070801 0.00074768066 0.0012054443 0.0012512207 0.0012207031 0.0011444092 0.0010070801 0.0012207031 0.0012207031 0.0009918213 0.0010375977 0.0017089844 0.0010223389 0.00091552734 0.0013275146 0.0016174316 0.0012359619 0.0015869141 0.0014953613 0.0012359619 0.0009460449 0.0016784668 0.0012207031 0.0012054443 0.00090026855 0.0005950928 0.0011444092 0.0010681152 0.0007324219 0.00045776367 0.0011444092 0.0011901855 0.0019836426 0.00062561035 0.0012817383 0.0014343262 0.0030212402 0.0010528564 0.0015106201 0.001449585 0.0014648438 0.00090026855 0.0007324219 0.002243042 0.00091552734 0.0015411377 0.0015869141 0.0013885498 0.0009613037 0.0017700195 0.0014190674 0.002105713 0.0012207031 0.0008087158 0.002746582 0.0011291504 0.0006713867 0.00032043457 0.0005187988 0.0007324219 0.00050354004 0.0010375977 0.0012512207 0.0022277832 0.00076293945 0.00035095215 0.0009460449 0.0007324219 0.0010986328 0.00048828125 0.00061035156 0.00093078613 0.001083374 0.0006713867 0.0014648438 0.00061035156 0.0015106201 0.00035095215 0.000579834 0.0007171631 0.00048828125 0.00038146973 0.00033569336 0.00062561035 0.0002746582 0.00030517578 0.00038146973 0.00062561035 0.0008087158 0.00022888184 0.0008087158 0.0005340576 0.0004272461 0.00045776367 0.0004119873 0.0005950928 0.0005493164 0.0004272461 0.0005340576 0.00074768066 0.0005645752 0.0005493164 0.00065612793 0.0007171631 0.00077819824 0.00088500977 0.0009918213 0.0005950928 0.0009613037 0.00064086914 0.00061035156 0.00090026855 0.00065612793 0.0008392334 0.0007019043 0.001083374 0.00074768066 0.0009613037 0.0015716553 0.0012817383 0.0010528564 0.00079345703 0.00091552734 0.0009918213 0.0008392334 0.00061035156 0.0011749268 0.0015258789 0.000579834 0.0011749268 0.0011444092 0.0012664795 0.0007171631 0.0008544922 0.0013580322 0.0009765625 0.0012359619 0.00093078613 0.0010070801 0.0014190674 0.0012664795 0.0011901855 0.0010528564 0.0013427734 0.0012359619 0.0012817383 0.0012054443 0.0010375977 0.0012359619 0.0012817383 0.0010681152 0.0011749268 0.0014038086 0.0014953613 0.0013427734 0.0014648438 0.0014038086 0.0011749268 0.0012969971 0.0022735596 0.0018463135 0.0013427734 0.0015411377 0.0015258789 0.0016174316 0.0019683838 0.0020141602 0.0020599365 0.0010681152 0.0010070801 0.0011138916 0.001739502 0.0010223389 0.0015563965 0.0015411377 0.0025177002 0.0014343262 0.0016174316 0.0017089844 0.0014038086 0.0008544922 0.00076293945 0.000869751 0.0009765625 0.00035095215 0.00077819824 0.00022888184 0.00088500977 0.00024414062 0.00061035156 0.08970642 0.47619048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014989459 3.1001986e-05 0.00018601191 7.750496e-05 0.00012400794 8.525546e-05 3.1001986e-05 6.975447e-05 2.3251489e-05 1.5500993e-05 4.6502977e-05 2.3251489e-05 7.7504965e-06 0.0 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041620163 3.875248e-05 7.7504965e-06 7.7504965e-06 8.525546e-05 0.00011625744 2.3251489e-05 0.00014725943 0.00010075645 4.6502977e-05 7.750496e-05 0.00032552084 7.750496e-05 6.200397e-05 9.3005954e-05 0.010501922 0.006200397 9.3005954e-05 0.0001937624 0.00017051092 0.00017051092 6.975447e-05 0.00048053075 0.00013175844 2.3251489e-05 7.7504965e-06 3.1001986e-05 7.7504965e-06 6.200397e-05 7.7504965e-06 9.3005954e-05 0.00813027 0.021127852 0.00027126737 0.00046502976 0.0003875248 0.0007983011 0.00067429314 0.002751426 0.0014260913 0.00046502976 4.6502977e-05 0.00010075645 9.3005954e-05 0.00017826141 4.6502977e-05 0.0002480159 0.0026661707 0.014408172 0.00023251488 0.00010075645 0.00014725943 0.00054253475 0.0002092634 0.00026351688 0.00074404763 0.0007517981 0.00030226936 0.00054253475 0.0008370536 0.0006355407 0.00086805556 0.0019763764 0.009184338 0.022375682 0.00051153277 0.0010385665 0.0007052951 0.002077133 0.0016276041 0.0034412201 0.0021003843 0.00065879215 0.00044952877 0.0005347842 0.0010385665 0.00064329116 0.0006665427 0.0007052951 0.009044829 0.0374969 0.0015500992 0.0012400794 0.0016043527 0.0022166418 0.0014725942 0.0024259053 0.002890935 0.0019143726 0.0014725942 0.0015113468 0.0014803448 0.0017438616 0.0022243923 0.002689422 0.015431237 0.010424417 0.0005657862 0.0011315724 0.00065879215 0.0015190972 0.00109282 0.0009920635 0.0006665427 0.0013563368 0.0003952753 0.00047278026 0.0006122892 0.0011780754 0.000984313 0.0025111607 0.00718471 0.032862104 0.0017438616 0.0039450023 0.0025189111 0.0053478424 0.004983569 0.0050223214 0.0050068204 0.0041310145 0.0014958457 0.0024801588 0.0033947174 0.0037744916 0.0034644718 0.0048053074 0.010261657 0.013253348 0.0014725942 0.0015268477 0.001891121 0.00421627 0.004340278 0.0043790303 0.0030691964 0.0018368675 0.0022088913 0.002890935 0.004673549 0.0056966147 0.008045015 0.008982825 0.026754713 0.014818949 0.0016276041 0.0027436756 0.0022786458 0.0037744916 0.003689236 0.0032087055 0.0024801588 0.0033714657 0.0014803448 0.0022553944 0.002828931 0.0037744916 0.00437128 0.0035109748 0.007277716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 145.0 10.331035 1498.0 0.020026702 0.0040053404 0.006008011 0.0020026702 0.010013351 0.0033377837 0.002670227 0.0033377837 0.0033377837 0.0033377837 0.0020026702 0.0040053404 0.002670227 0.002670227 0.012683578 0.002670227 0.0033377837 0.010680908 0.008010681 0.0066755675 0.012016022 0.006008011 0.0006675568 0.0013351135 0.007343124 0.0066755675 0.0020026702 0.0033377837 0.005340454 0.0013351135 0.005340454 0.013351135 0.030040054 0.013351135 0.0033377837 0.020026702 0.009345794 0.018024033 0.0066755675 0.013351135 0.010013351 0.009345794 0.0033377837 0.006008011 0.022029372 0.005340454 0.0040053404 0.004672897 0.012683578 0.009345794 0.013351135 0.022029372 0.008010681 0.012016022 0.010013351 0.015353805 0.012016022 0.0066755675 0.007343124 0.0006675568 0.005340454 0.005340454 0.002670227 0.022029372 0.002670227 0.028037382 0.008010681 0.014686248 0.02870494 0.05941255 0.010013351 0.0113484645 0.012683578 0.015353805 0.005340454 0.0013351135 0.028037382 0.015353805 0.023364486 0.023364486 0.019359145 0.002670227 0.02870494 0.016021362 0.024699599 0.007343124 0.0040053404 0.040720962 0.010013351 0.008678238 0.0013351135 0.0013351135 0.0013351135 0.0006675568 0.010680908 0.012683578 6.0796537 0.0 0.0 0.0 1.0 65536.0 45056.0 0.0 0.0 47.0 0.0 1.0 0.0 0.0 0.0 1101367800.0 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 2560.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9738646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1056876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.997472 0.0 5.567715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2464.0 0.0 25168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 8656.0 25168.0 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 0.0 212.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.008374306 0.004528384 0.004213547 0.0042927274 0.0045491224 0.003989201 0.0046754344 0.0038723154 0.0044680564 0.003825184 0.0040287916 0.003898709 0.004232399 0.0038157578 0.0037837084 0.0040344475 0.0040966608 0.0037403475 0.0038308399 0.0038610038 0.0038591186 0.004194694 0.0038157578 0.0038270692 0.0039533814 0.003810102 0.0037026424 0.0037573148 0.003862889 0.003713954 0.0037592 0.003751659 0.00401748 0.0038214135 0.0036837899 0.0037573148 0.0043681376 0.003736577 0.003751659 0.003913791 0.0039175614 0.0038817418 0.003802561 0.0038723154 0.003774282 0.003862889 0.0038968236 0.0038195283 0.004111743 0.0039665783 0.003787479 0.0039175614 0.0038082167 0.0036611666 0.0039722337 0.0037780525 0.0037686264 0.0039533814 0.0037384622 0.0040928903 0.0037893641 0.0039175614 0.0038534629 0.0037328065 0.0037799377 0.0039024795 0.0037460031 0.0038760859 0.0038308399 0.0045660897 0.0038534629 0.003708298 0.0040363325 0.0039703487 0.0038006757 0.0037554295 0.004113628 0.0039703487 0.0037403475 0.0038666597 0.004434122 0.003774282 0.0038308399 0.0038930532 0.0038421513 0.0040042833 0.0044755973 0.0038968236 0.0036969867 0.003987316 0.0038704302 0.0037007572 0.0037535443 0.003957152 0.0039835456 0.003911906 0.0037950198 0.0037045276 0.0037705116 0.004162645 0.0039081355 0.0040721525 0.003802561 0.0037969053 0.004098546 0.004045759 0.004051415 0.0038421513 0.003787479 0.003921332 0.004068382 0.00394207 0.003855348 0.0039156764 0.003962808 0.0039345287 0.004420925 0.00442281 0.003840266 0.0037761673 0.003810102 0.003911906 0.0037723968 0.0038364956 0.0037912494 0.003992972 0.003825184 0.003751659 0.0040363325 0.0037799377 0.0039986274 0.004413384 0.003951496 0.003957152 0.003832725 0.00364797 0.003708298 0.0043549407 0.0037158392 0.005489865 0.0037403475 0.0043737935 0.0037101833 0.0037723968 0.0037497738 0.0038195283 0.0038082167 0.003774282 0.0037592 0.0037780525 0.0037233802 0.0035876418 0.0038478072 0.0037780525 0.0036913308 0.0037780525 0.003825184 0.003774282 0.0036913308 0.0037931346 0.0037196097 0.0037912494 0.003810102 0.0038119871 0.003825184 0.003840266 0.0038195283 0.0037799377 0.0038666597 0.0037912494 0.0036310027 0.0035857565 0.0037384622 0.0037064129 0.0038930532 0.0036762487 0.0037667411 0.003810102 0.0038346103 0.0038798563 0.0036819046 0.0038478072 0.0036951012 0.0038308399 0.003943955 0.0037460031 0.0037667411 0.003764856 0.0036536257 0.0037497738 0.003751659 0.0038968236 0.0039854306 0.0038666597 0.003921332 0.0038534629 0.003774282 0.0038157578 0.0042116614 0.0039684633 0.0037799377 0.0037478886 0.0038270692 0.0037780525 0.003840266 0.003855348 0.0037686264 0.0037705116 0.003832725 0.0037554295 0.003868545 0.003685675 0.0037026424 0.0037837084 0.0037761673 0.0037855937 0.0036837899 0.0038157578 0.003640429 0.003938299 0.003787479 0.003862889 0.0036159207 0.0039175614 0.003877971 0.0036969867 0.0039081355 0.0037818232 0.003877971 0.0037026424 0.0038157578 0.0038930532 0.004515188 0.0038704302 0.0036969867 0.004107972 0.0039684633 0.0037837084 0.0037950198 0.0039043648 0.00398166 0.0040570702 0.003663052 0.0037554295 0.0037855937 0.0037460031 0.0039232173 0.0037818232 0.0039326437 0.0038270692 0.0039760047 0.0036819046 0.004243711 0.0038157578 0.0037233802 0.005156175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00096239574 6.3278225e-05 8.594505e-05 2.8333534e-05 8.594505e-05 0.00011238969 6.800048e-05 5.8555972e-05 0.00017661236 1.2277865e-05 5.1000363e-05 2.2666827e-05 8.027835e-05 6.611158e-06 6.0444876e-05 5.9500424e-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 0.0038023603 0.00080183905 0.00056005956 0.0006308934 0.0009283955 0.0011645083 0.0008943952 0.0011059523 0.001982403 0.00014261213 0.00026066852 0.0002823909 0.000793339 0.00020872371 0.0007621721 0.0011531749 0.0037334154 0.00075272756 0.00090572867 0.0006903938 0.0012731202 0.0016027336 0.0011333413 0.0010322852 0.0020022364 0.00018700134 0.00031261332 0.0003711693 0.00087928405 0.0003806138 0.00085850613 0.0012929536 0.061350603 0.059969816 0.06035043 0.06054782 0.060252205 0.060177594 0.06064982 0.060640376 0.060364597 0.05992165 0.05971198 0.060017038 0.060065206 0.059946205 0.060595986 0.06062243 2433.0 6.0423346 14701.0 0.012176042 0.010951636 0.008774913 0.007686552 0.009319094 0.009047003 0.0096592065 0.009183049 0.010067343 0.010067343 0.008502823 0.009455139 0.009319094 0.010067343 0.013740562 0.013196381 0.015509149 0.013264404 0.010475478 0.010067343 0.009863274 0.008570845 0.010747568 0.007686552 0.008978981 0.008026665 0.010203388 0.0096592065 0.008638868 0.00816271 0.009115026 0.009319094 0.009047003 0.011359772 0.009523162 0.01238011 0.011699884 0.011223726 0.009455139 0.009115026 0.010815591 0.012176042 0.011291749 0.009387117 0.010407455 0.010339432 0.010067343 0.010339432 0.010475478 0.009387117 0.009931297 0.009727229 0.010747568 0.00999932 0.009591185 0.010679546 0.009455139 0.008910959 0.0096592065 0.009455139 0.00816271 0.0105435 0.008366778 0.0096592065 0.009795252 0.009727229 0.009455139 0.015169037 0.012652201 0.014556833 0.009251071 0.01210802 0.010339432 0.015713217 0.008638868 0.009523162 0.010951636 0.01238011 0.010951636 0.012924291 0.010815591 0.0084348 0.014352765 0.013604517 0.01605333 0.01183593 0.008842936 0.011971975 0.009047003 0.010339432 0.009183049 0.011427794 0.007822597 0.0105435 0.009183049 0.009523162 6.564039 0.0 15.0 0.0 6.0 530432.0 524288.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1520267100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 287232.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -36352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 153600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287232.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.995126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9989114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.985141 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.991023 0.0 7.987212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 153417.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287049.0 0.0 18612.0 0.0 0.0 0.0 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 0.0 169.0 448160.0 260.0 435312.0 18612.0 466944.0 0.0 0.0 22016.0 508416.0 27704.0 487424.0 28.0 296512.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 368440.0 0.0 0.0 1476.0 294912.0 0.0 0.0 0.0 0.0


Input: 0.0056067146 0.0039743143 0.00392952 0.0039333194 0.003936319 0.0039345194 0.0038839255 0.0038997235 0.0039119218 0.0038691272 0.0038841253 0.003863928 0.0038673275 0.003869727 0.0039037229 0.0039341194 0.0038987235 0.0039071226 0.0038653277 0.00392452 0.0038683272 0.0039981115 0.003911522 0.0038763264 0.0038681272 0.0038779262 0.0039397185 0.0038837255 0.0038365312 0.0039415183 0.0038649277 0.003913322 0.00393012 0.0038825255 0.0039533167 0.0038561288 0.0039007233 0.0039175213 0.0038851253 0.0039049229 0.0039051229 0.0038581286 0.003887325 0.0038371312 0.0039153215 0.0039159213 0.0038469299 0.0039047229 0.0039077224 0.0038363312 0.0039379187 0.0038997235 0.003918521 0.003911722 0.0039047229 0.0038353314 0.0039333194 0.0038997235 0.0038737266 0.0039241207 0.003895924 0.0038651277 0.0038985235 0.0038993235 0.0040007113 0.003862728 0.00393012 0.0039341194 0.003920121 0.004020509 0.003943718 0.0038667275 0.003913922 0.0038759264 0.003879926 0.0039011233 0.003910322 0.003944518 0.003934719 0.0038829255 0.0039975117 0.0039171213 0.003912922 0.003951717 0.0038891248 0.0038753264 0.0039491174 0.0039585163 0.0039067226 0.003870327 0.0039061226 0.0038649277 0.0038483297 0.0039413185 0.0038737266 0.0039321193 0.0038763264 0.0038993235 0.003887125 0.0038659277 0.0039269202 0.003993512 0.003911322 0.0038815257 0.0039811134 0.0038887248 0.003974514 0.003863928 0.003911522 0.0039039229 0.0038877248 0.0038969237 0.0039317193 0.0039349194 0.0039003233 0.0039555165 0.0040305075 0.0040361066 0.0038837255 0.0038663275 0.003902523 0.0039059226 0.0038907246 0.0039053229 0.0038997235 0.0039711148 0.0038601283 0.003886325 0.0038857253 0.0038883248 0.003853529 0.0038857253 0.0038891248 0.003870327 0.0038417305 0.0038933242 0.0038815257 0.0039493176 0.003837531 0.004041106 0.0038771261 0.0039077224 0.003951917 0.0038523292 0.003943718 0.0039093224 0.0038827255 0.0038743266 0.0039325194 0.0038855253 0.003878726 0.0038527292 0.0039043229 0.0038727268 0.003887125 0.0039051229 0.0038495297 0.0038735266 0.0039399187 0.0038097345 0.0038935242 0.003870527 0.0038609281 0.0038875248 0.0038987235 0.003879726 0.0038881248 0.0038883248 0.0038607281 0.003894724 0.0038765264 0.0038719268 0.003902323 0.003911722 0.0039217207 0.0038857253 0.003878726 0.003880126 0.0038935242 0.0039055226 0.0038899246 0.0038853253 0.003829132 0.0039217207 0.0038921244 0.003887325 0.0038823255 0.0038273323 0.0038777262 0.0038307318 0.0039093224 0.0038761264 0.0039389185 0.0038727268 0.0039055226 0.0039135218 0.003853529 0.0038689272 0.0038945242 0.003917321 0.0038839255 0.003902523 0.0038987235 0.0038905246 0.00384453 0.003871127 0.0038881248 0.0038579286 0.0038497297 0.0038835255 0.003903523 0.0038357312 0.003908322 0.003855129 0.003960516 0.0038471299 0.0038519292 0.0039239204 0.003919521 0.0038727268 0.003945318 0.0038599283 0.0038763264 0.00384553 0.0039157216 0.003828932 0.0039389185 0.0038613281 0.0038779262 0.0038941242 0.0039015233 0.0038833255 0.0040407064 0.0038901246 0.0039141215 0.003921121 0.003895524 0.0038785262 0.0039169216 0.00392952 0.003918521 0.0038587286 0.0039001233 0.003902723 0.0039401185 0.0038321316 0.0039073224 0.0039007233 0.00393012 0.0038765264 0.003912922 0.0039171213 0.003902323 0.003854529 0.0038371312 0.0041622915 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001304217 1.2001997e-06 4.410734e-05 9.0014976e-07 1.5002496e-06 1.6002663e-06 2.1003495e-06 1.9003162e-06 6.401065e-06 2.0003328e-07 3.0004992e-07 3.0004992e-07 2.500416e-06 3.0004992e-07 1.700283e-06 9.401564e-06 0.00013312216 2.3003827e-06 1.9203195e-05 2.7004494e-06 5.9009817e-06 4.200699e-06 1.1401898e-05 6.6010984e-06 5.000832e-06 2.0003328e-07 3.0004992e-07 2.0003328e-07 1.3002164e-06 1.0001664e-07 1.9003162e-06 1.0401731e-05 0.00041726945 9.801631e-06 4.4507407e-05 1.2502081e-05 7.891313e-05 3.9406557e-05 0.00021183524 0.00013252205 1.6802796e-05 9.601597e-06 5.9009817e-06 7.701282e-06 9.401564e-06 7.101182e-06 8.201365e-06 1.2702114e-05 0.0001340223 2.9004827e-06 1.02016975e-05 5.4008988e-06 3.9206523e-05 1.8103012e-05 0.00010741787 7.09118e-05 4.8007987e-06 3.600599e-06 1.9003162e-06 1.700283e-06 2.1003495e-06 2.4003994e-06 2.1003495e-06 2.9004827e-06 0.00010261707 5.9009817e-06 3.900649e-06 6.6010984e-06 1.2902147e-05 8.901481e-06 7.201198e-06 1.19019805e-05 1.19019805e-05 1.2001997e-06 2.7004494e-06 2.3003827e-06 7.101182e-06 3.900649e-06 5.300882e-06 1.0501747e-05 8.701448e-05 3.0004992e-06 3.900649e-06 3.0004992e-06 1.46024295e-05 4.200699e-06 6.101015e-06 1.8103012e-05 1.8403061e-05 3.2005325e-06 3.0004992e-06 5.000832e-06 9.601597e-06 4.6007654e-06 6.2010317e-06 1.490248e-05 0.0005443906 9.531586e-05 4.0406725e-05 9.861641e-05 0.00017152855 0.00014352388 7.8413046e-05 0.00014672441 0.00018523082 2.2303711e-05 2.740456e-05 2.2103679e-05 8.47141e-05 4.0606756e-05 0.00011981994 0.00022723782 0.0005863976 0.00012782127 9.111516e-05 0.000120119985 0.00021803628 0.00017702946 8.59143e-05 0.00018423065 0.00022623765 4.140689e-05 4.0006656e-05 4.4807457e-05 0.000109718254 4.9008155e-05 0.00011981994 0.00023633933 0.061993115 0.06213244 0.062046424 0.062098633 0.06218495 0.06220445 0.062039822 0.062193148 0.06183949 0.062126838 0.062116235 0.061986513 0.061981715 0.06203452 0.062227953 0.062034223 23173.0 5.6903725 131863.0 0.0110341795 0.010260649 0.012232393 0.010488158 0.010253065 0.011056931 0.010101393 0.0106398305 0.010344069 0.009987638 0.010723251 0.010002806 0.010093809 0.010442656 0.010351653 0.010260649 0.009889051 0.010131728 0.010654998 0.009942137 0.010503326 0.010215147 0.010328902 0.010260649 0.010609496 0.009600874 0.009714628 0.010381987 0.009835966 0.010162062 0.010351653 0.009911803 0.010139312 0.010692916 0.0101772295 0.010647414 0.010268233 0.010518493 0.0105715785 0.010336486 0.010154478 0.010268233 0.0100786425 0.0101468945 0.010306151 0.01097351 0.0101468945 0.010055891 0.0105412435 0.009987638 0.010169646 0.01097351 0.010154478 0.0101772295 0.010435073 0.010662582 0.010033141 0.010025557 0.010404739 0.010192397 0.00984355 0.0102834 0.0100483075 0.0100483075 0.010207564 0.010814254 0.010093809 0.010139312 0.010723251 0.013112093 0.010237899 0.010139312 0.010472991 0.011451279 0.00992697 0.010381987 0.011458863 0.010275817 0.011314774 0.011451279 0.010677749 0.010093809 0.011292023 0.011367859 0.011731873 0.010563995 0.010162062 0.009578123 0.010192397 0.010897674 0.009820798 0.010821838 0.01036682 0.009904219 0.0099800555 0.01011656 6.5830727 0.0 1.0 0.0 78.0 5000611.0 184320.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23040.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 3.1292472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 3200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 3200.0 180224.0 0.0 0.0 3800.0 187955800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.8418864 0.0016628689 0.0012197989 0.0005199291 0.00091236254 0.0005081742 0.00045392071 0.00052264176 0.0009394893 0.0003933377 0.0004457827 0.0003761574 0.0007658782 0.00059407554 0.00061396847 0.0010796441 0.0013888889 0.0003725405 0.00036259403 0.0003725405 0.0005117911 0.0004819517 0.00041956018 0.00036982785 0.0005280671 0.0003833912 0.00031919125 0.00036440248 0.00043041087 0.0016086155 0.00034360532 0.00037796586 0.0007595486 0.0003616898 0.00032461662 0.00036440248 0.00063657406 0.00033637154 0.00040780526 0.00033094618 0.00041865595 0.00026041668 0.00031467015 0.00040780526 0.00037887009 0.0006555628 0.0004611545 0.0003354673 0.0006555628 0.0004503038 0.00046657986 0.000692636 0.00055519387 0.00046657986 0.00045392071 0.00042588977 0.000531684 0.00051450374 0.00045482494 0.00060221355 0.000515408 0.00049189816 0.00040328415 0.00044035734 0.00047743056 0.0003951461 0.00031467015 0.00045844185 0.0004647714 0.000853588 0.00043221933 0.0004530165 0.0071569374 0.0003571687 0.00031828703 0.0002956814 0.00044307002 0.0005488643 0.00034541378 0.00030743633 0.00063566986 0.00038067854 0.0003616898 0.00048466434 0.00042588977 0.00050998264 0.00051088684 0.00048556857 0.0003653067 0.00053891784 0.000302011 0.00040418838 0.00032280816 0.00056423614 0.00050998264 0.00046296295 0.00038881655 0.00056423614 0.00038158277 0.00040509258 0.00048014324 0.00091236254 0.000825557 0.00038429542 0.000595884 0.00049189816 0.0005244502 0.00038610387 0.0005868417 0.0012098524 0.00058141636 0.00050907844 0.000471101 0.00029748987 0.00061487267 0.0006338614 0.0011773003 0.0010317202 0.00046296295 0.00040237993 0.0004159433 0.00037434895 0.00034903068 0.00034722223 0.0008291739 0.00044759116 0.000346318 0.00044668693 0.00044668693 0.00043674046 0.00040057147 0.0011185257 0.00048014324 0.0006004051 0.00035988138 0.0003354673 0.00036621094 0.00074960216 0.00039424188 0.0018491392 0.00032913772 0.0006374783 0.00030743633 0.00027850116 0.00040509258 0.00033094618 0.00026674624 0.00031195747 0.00038067854 0.00029025608 0.00030291523 0.000265842 0.0003318504 0.0071171513 0.00035897715 0.0004720052 0.00034903068 0.0002730758 0.00032009548 0.00042950665 0.0071623623 0.00042588977 0.00045392071 0.00038972078 0.0003535518 0.00032642507 0.0003951461 0.0003978588 0.00040237993 0.00029206453 0.00037434895 0.0003427011 0.00032009548 0.00031647857 0.00035897715 0.00040690103 0.00040237993 0.00035264756 0.00032461662 0.0003209997 0.00035807292 0.00033094618 0.00033456308 0.00040057147 0.00045572917 0.00030834056 0.00041142217 0.00045120803 0.0004096137 0.00031014901 0.00034360532 0.0003092448 0.0007297092 0.00046929254 0.00058141636 0.00065013743 0.00044759116 0.0002839265 0.0004611545 0.00048466434 0.0004674841 0.0004493996 0.00040690103 0.0004602503 0.0007043909 0.0003870081 0.00034179687 0.00038610387 0.00045934608 0.0004059968 0.00038791233 0.00035264756 0.00035264756 0.000265842 0.00045844185 0.00035897715 0.00044668693 0.0003616898 0.0003173828 0.0003797743 0.0003933377 0.00038791233 0.00035445602 0.0003390842 0.00054434314 0.00037434895 0.00041142217 0.0003065321 0.00041323062 0.00041142217 0.0003571687 0.000302011 0.001058847 0.00039605034 0.00031195747 0.00057327835 0.00061125576 0.0003318504 0.00035807292 0.0003797743 0.000595884 0.00034541378 0.00033998842 0.00040690103 0.00043402778 0.0003128617 0.00048556857 0.0004828559 0.0071632667 0.00038791233 0.00032461662 0.00032913772 0.00053530093 0.00030562788 0.0005126953 0.011155418 0.8146432 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00082948984 8.598095e-06 1.6291126e-05 1.3575939e-06 1.2218345e-05 4.5253128e-07 4.5253128e-07 1.3575939e-06 1.3575939e-06 1.0860751e-05 1.1313282e-05 1.8101251e-06 9.0506256e-07 9.0506256e-07 4.5253128e-07 2.8962002e-05 0.0007855943 5.023097e-05 1.0408219e-05 4.5253128e-06 4.977844e-06 4.5253128e-06 3.6202503e-06 5.8829064e-06 5.4303755e-06 5.4303755e-06 4.0727814e-06 4.5253128e-06 2.2626564e-06 1.0408219e-05 3.167719e-06 2.1721502e-05 0.0007625152 1.5838596e-05 5.8829064e-06 3.6202503e-06 1.764872e-05 1.0860751e-05 1.764872e-05 2.3984157e-05 4.5253128e-06 5.4303755e-06 1.3123407e-05 1.1313282e-05 4.977844e-06 7.693032e-06 1.1765813e-05 9.955688e-06 0.0007380785 1.1765813e-05 1.2670876e-05 1.3575938e-05 1.2670876e-05 1.4481001e-05 1.3123407e-05 1.4481001e-05 9.0506255e-06 1.3123407e-05 1.4481001e-05 1.2218345e-05 1.4933532e-05 1.0860751e-05 9.955688e-06 1.1313282e-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 0.008885904 1.6291126e-05 4.5253128e-05 1.3575938e-05 0.006156688 5.8829064e-06 6.787969e-06 6.335438e-06 4.977844e-06 0.006153973 0.0061526154 4.0727814e-06 1.8101251e-06 4.5253128e-06 3.6202503e-06 0.014242969 0.003247817 9.3221446e-05 0.000114490416 5.5208817e-05 0.00059010077 0.00014571506 0.0007204298 0.000368813 2.7604408e-05 0.00039460728 0.00041859143 5.6113877e-05 6.561704e-05 5.9734128e-05 4.570566e-05 0.0010105023 0.0011946826 0.00017196189 8.417082e-05 3.8012626e-05 0.00017467707 6.697463e-05 0.00031677188 0.0001706043 5.385122e-05 7.9645506e-05 0.00013123408 3.3939847e-05 3.122466e-05 2.850947e-05 2.2174032e-05 0.00018191758 0.0022635614 0.0003443763 0.00016336379 0.0014919956 0.00020454414 0.00018508529 0.0002633732 0.0003199396 0.00016336379 0.00016381632 0.00014707267 0.00015657583 0.00016426886 0.00014978785 0.00014797773 0.00015838594 0.0034455732 0.0008670499 0.0002633732 0.0004339775 0.0003805788 0.00022490804 0.0007263127 0.0003864617 0.00024934474 0.00032808518 0.0003733383 0.00022219286 0.0003733383 0.0003240124 0.00021676248 0.00045253127 0.0036863198 0.0007552747 0.0005335344 0.0003547845 0.00042447433 0.00030681622 0.00089601194 0.0005846704 0.00045841417 0.00042854712 0.00052719895 0.0004194965 0.00048330342 0.00033668327 0.0003846516 0.0005412274 0.002834656 0.00069644564 0.0005480154 0.0004896388 0.0004670123 0.00054620526 0.00084578095 0.0007783538 0.0008448759 0.00036428767 0.00045479395 0.0004312623 0.0007656829 0.00043352495 0.0006480248 0.00089963217 0.009847986 0.005588761 0.004943452 0.0050656353 0.0051706224 0.005746242 0.005400508 0.005975676 0.0072509088 0.004254699 0.004464674 0.004465126 0.005795568 0.004648854 0.0056417077 0.006564419 742.0 9.672506 7177.0 0.016859412 0.0050160233 0.0026473457 0.0041800197 0.0066880314 0.0039013515 0.0030653477 0.0057126936 0.0045980215 0.0027866797 0.0036226835 0.0044586873 0.007245367 0.0047373553 0.0043193535 0.0030653477 0.0132367285 0.010032047 0.009753379 0.009892713 0.015326738 0.008778041 0.010310715 0.010868051 0.011007384 0.012818727 0.009614045 0.010450048 0.011704055 0.008220705 0.0069666994 0.005991361 0.005991361 0.011425387 0.006270029 0.015884073 0.012122056 0.008917375 0.010450048 0.012400725 0.008360039 0.008220705 0.0051553575 0.0040406855 0.010310715 0.009196043 0.0057126936 0.0051553575 0.014490734 0.0048766895 0.008499373 0.012261391 0.010868051 0.0050160233 0.0051553575 0.011843389 0.0057126936 0.0048766895 0.0036226835 0.0051553575 0.0055733593 0.0036226835 0.0040406855 0.007245367 0.006270029 0.032046817 0.008499373 0.018252753 0.018810088 0.065904975 0.008917375 0.01295806 0.011146719 0.026055455 0.007384701 0.0037620175 0.02591612 0.010589383 0.025776787 0.030653477 0.014490734 0.0045980215 0.032743488 0.02062143 0.04625888 0.013933399 0.0066880314 0.007245367 0.009753379 0.008360039 0.0041800197 0.0025080116 0.0055733593 0.0018113417 0.0030653477 0.0048766895 6.1832933 0.0 0.0 0.0 5.0 1105920.0 1118208.0 1.0 0.0 187.0 1.0 0.0 0.0 0.0 0.0 1526726300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 29.0 5.0 1.0 5.0 1.0 100864.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -967168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.058378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.7825766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.47631904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.801964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30862.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -970704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100841.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 133124.0 0.0 0.0 0.0 0.0 0.0 0.0 5476.0 1110016.0 28.0 129504.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 129536.0 0.0 0.0 772.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.15825269 0.019362666 0.009608477 0.0072305016 0.009220478 0.0076989806 0.008000569 0.0040155337 0.009145081 0.0038918483 0.004728841 0.0036038142 0.0047932253 0.0044399602 0.0033132387 0.02874495 0.010249777 0.004251891 0.0012461708 0.0014833753 0.0026194155 0.003219204 0.0015274276 0.001268197 0.003938442 0.0020509718 0.00092340325 0.0008962942 0.0012978475 0.0014054368 0.000969997 0.0019569371 0.009098487 0.001146206 0.001225839 0.001135193 0.014659239 0.0011927998 0.000730251 0.001140276 0.005845397 0.0013029305 0.00094373507 0.0028345939 0.0009979532 0.0016400998 0.0011063896 0.0011275685 0.007630361 0.0014308515 0.0023864468 0.0050482205 0.002360185 0.0008344516 0.0007599016 0.0008564777 0.0039291233 0.0017764923 0.0011013066 0.0041197343 0.0018247804 0.0010784334 0.0016722918 0.0043137334 0.007837915 0.013758709 0.0026287343 0.0032064966 0.0092899455 0.005852174 0.0012326163 0.001598589 0.057474654 0.008752846 0.0010936823 0.0016087549 0.010374309 0.004719523 0.0010292982 0.00092170894 0.0040638214 0.0011428174 0.001140276 0.0020713038 0.0027541139 0.0027041314 0.0014952356 0.002531311 0.0033166273 0.002846454 0.0012453237 0.0017459947 0.0037232637 0.0015138731 0.001619768 0.0021831286 0.0026549962 0.0018874701 0.00093018054 0.0027761399 0.0023915297 0.0025914593 0.0053531975 0.0009860931 0.002418639 0.0019687975 0.00064722943 0.00093018054 0.0021111201 0.0011995771 0.0018764571 0.0022881764 0.0035419716 0.0006548539 0.003020969 0.002691424 0.010166755 0.005833537 0.0012055072 0.0016748332 0.002035723 0.0012597254 0.00081581407 0.00088273967 0.0020526662 0.0011927998 0.0012597254 0.0017146497 0.0052303593 0.0023542547 0.0013596901 0.01463213 0.0042273235 0.0067527043 0.0010157436 0.0010470885 0.0024652325 0.014398314 0.0023296871 0.03354326 0.0012317691 0.012638764 0.00074211124 0.00088019815 0.0022873292 0.000735334 0.00067772716 0.0010004947 0.0009818573 0.0008319101 0.0006667141 0.00059978856 0.001135193 0.0006387579 0.0006218147 0.00054472324 0.0008708794 0.0006252033 0.0005438761 0.00073363964 0.0018095316 0.00068281015 0.0007251681 0.0007844692 0.0007963294 0.0007065306 0.00067772716 0.0008708794 0.0014935413 0.0007903993 0.0006438408 0.0007370283 0.0011436646 0.001091988 0.00072940387 0.00086410216 0.00195609 0.00073618116 0.000730251 0.0006870459 0.00096321973 0.0007065306 0.0011724681 0.0020645263 0.002472857 0.001465585 0.0016146849 0.0011656907 0.0009742328 0.00078955217 0.0015181089 0.0015138731 0.0092323385 0.005364211 0.0029904712 0.0068941796 0.004231559 0.0015892702 0.0026372059 0.0041544675 0.0038198398 0.0032886711 0.001939994 0.0020687622 0.018151227 0.0011004595 0.0013834107 0.0019154265 0.002946419 0.0018247804 0.0024609969 0.0012859873 0.0008564777 0.0009767743 0.0012343106 0.0013410527 0.0021145088 0.0017942827 0.0011555249 0.0016070605 0.00085563055 0.0007319453 0.0007980238 0.0009462766 0.0027846114 0.0012199089 0.0009954118 0.000884434 0.0009462766 0.0005947056 0.00079209363 0.0008497004 0.011378192 0.0041112625 0.0012809044 0.0050236527 0.0033581383 0.0008929056 0.0007370283 0.0009462766 0.0034098148 0.0011978828 0.0059224884 0.004257821 0.0013681618 0.0009428879 0.0021450066 0.001630781 0.004201061 0.002078928 0.0016231566 0.001268197 0.0016875407 0.0019459241 0.002819345 0.02649405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007792986 5.939129e-06 4.242235e-06 1.2726705e-06 2.1211174e-06 8.4844703e-07 1.2726705e-06 1.6120493e-05 9.332917e-06 4.2422351e-07 0.0 4.2422351e-07 1.6968941e-06 0.0 1.2726705e-06 4.4543467e-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 0.0057414407 0.00015781114 0.000105631654 5.472483e-05 7.805712e-05 4.1998126e-05 3.8180115e-05 9.587451e-05 0.00025156455 6.0663962e-05 7.339066e-05 3.1392537e-05 2.5877634e-05 2.9695646e-05 2.8422975e-05 0.00013575151 0.022024412 0.00076063274 0.00064397126 0.00015823537 0.0002855024 0.0002074453 0.0007525725 0.00044840423 0.0007160893 0.00046155517 0.0002761695 0.00012557015 0.00018793101 0.00021338442 0.00011750991 0.00042252662 0.006182209 0.00016375027 0.00026429124 8.442048e-05 0.00038392228 0.00016375027 0.000404285 0.00027744216 0.00013829686 4.369502e-05 4.2846572e-05 4.836148e-05 3.3513657e-05 3.2665208e-05 9.0783826e-05 0.0003338639 0.010685341 0.00075002713 0.0002939869 0.0008072973 0.00019599126 0.00031859186 0.0004204055 0.0003665291 0.0005060986 0.00017350742 0.00014932668 0.00013405463 0.000120479475 9.799563e-05 0.00016714406 0.00045179803 0.016303333 0.0018445238 0.0008089942 0.0013367282 0.00066645513 0.000635911 0.0024834045 0.0017028331 0.000372044 0.00023332292 0.00016502294 0.00021635399 0.0001624776 0.000144236 0.00024817075 0.0004780999 0.024725867 0.002099058 0.001167463 0.0018139797 0.0011021326 0.0012277028 0.003162162 0.002110512 0.0006524557 0.000436526 0.00073560356 0.00058203464 0.00044034398 0.00039452786 0.0004908266 0.004036911 0.02244015 0.0017987076 0.0015344165 0.0015802325 0.0015950804 0.0012701252 0.0024761925 0.0020422118 0.000960442 0.0007602085 0.00091377745 0.0011025568 0.0010796488 0.0008857787 0.00082214514 0.002178812 0.015124416 0.0009935314 0.0011946134 0.0018640381 0.002739211 0.0011619482 0.0012489139 0.0011678874 0.0020621505 0.0011012842 0.0028342372 0.0008819607 0.0019828207 0.0010092277 0.0013965438 0.0014648438 0.01755352 0.0029084764 0.0027023037 0.0023277143 0.011916438 0.0025682491 0.0010113488 0.0015522338 0.00913438 0.0006651824 0.0005391881 0.0010605587 0.008810698 0.0013295164 0.0023357747 0.004826815 0.11754682 0.02099185 0.028764898 0.020449694 0.096826896 0.021450438 0.0120042525 0.021190813 0.07585838 0.00569817 0.004685973 0.011138412 0.048702978 0.01362521 0.024036504 0.039148618 0.020948157 0.004467922 0.0062331157 0.0072287684 0.013528911 0.0047080326 0.0061016064 0.00660516 0.011926619 0.0018750678 0.0019234293 0.003080711 0.0071944064 0.0031613135 0.0049680816 0.007256343 0.0059327655 0.00233832 0.002391772 0.0033640924 0.0021877205 0.0023255933 0.0028092081 0.0024070442 0.0023569858 0.0019709424 0.002177115 0.0021109362 0.0020795437 0.0019993654 0.0021109362 0.002271717 4354.0 10.702343 46598.0 0.036868535 0.0014378299 0.0008369458 0.0015665909 0.036739774 0.0026825184 0.0017168119 0.0018455727 0.007961715 0.0043564104 0.00053650374 0.004206189 0.002317696 0.0041418085 0.009485385 0.00725353 0.024443109 0.0112021975 0.007060389 0.008197777 0.0038413666 0.0028327396 0.002725439 0.0022747756 0.008884502 0.0069101676 0.0048499936 0.0061376025 0.0051289755 0.00092278636 0.0030044208 0.0077685737 0.021953732 0.065732434 0.0026825184 0.00862698 0.016867677 0.007983175 0.0032190222 0.002467917 0.031181596 0.0053864974 0.0011159277 0.0016095111 0.009013263 0.005343577 0.0024249968 0.0018241126 0.0072749904 0.0008798661 0.0033907034 0.008905961 0.012661488 0.016417013 0.020515902 0.022061033 0.0028541998 0.0015451307 0.0022103954 0.003176102 0.010579853 0.009356624 0.0143139195 0.022168333 0.003905747 0.022876518 0.004892914 0.023606163 0.016824756 0.035473626 0.019228293 0.007382291 0.007983175 0.026782265 0.00092278636 0.0027039787 0.013755955 0.012339585 0.019743336 0.035473626 0.013627194 0.00092278636 0.033799734 0.025494656 0.05105369 0.013841796 0.0039486676 0.0061590625 0.0052362764 0.005300657 0.0011803082 0.00077256537 0.005493798 0.0008369458 0.0008798661 0.0016738916 5.8595195 7.0 71.0 0.0 8.0 1180416.0 1126400.0 1.0 14.0 96.0 1.0 1.0 1.0 0.0 0.0 1536289700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 814080.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228352.0 0.0 -3584.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -814080.0 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 -5.448564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.289793 0.0 -5.6480308 0.0 0.0 6.1126194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9629295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.535176 0.0 3.029639 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228062.0 0.0 -3104.0 0.0 0.0 40764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -814064.0 0.0 4024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 496.0 1044032.0 80.0 1044528.0 4024.0 1114112.0 40764.0 1069056.0 73472.0 1106944.0 4824.0 1118208.0 84.0 947296.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 947392.0 0.0 0.0 792.0 819200.0 0.0 0.0 0.0 0.0


Input: 0.27884302 0.0099668605 0.0027710132 0.010509766 0.021807216 0.007958425 0.009643628 0.0016538211 0.0029122315 0.0018421118 0.0018734937 0.0009759741 0.002036679 0.001860941 0.00094773044 0.0013086213 0.0020617845 0.0011171922 0.0008661378 0.001547123 0.0010042177 0.0012427195 0.000765716 0.0007814069 0.00080651237 0.0006841233 0.0005429052 0.0004832798 0.0007876833 0.0010387377 0.000696676 0.00061822153 0.040174983 0.0007186433 0.00082220323 0.00054918154 0.00084103236 0.000731196 0.00042993072 0.0014749448 0.0014592538 0.0012835157 0.0010575667 0.00075943966 0.0028588823 0.001619301 0.0034363074 0.001321174 0.008994025 0.0032448785 0.0026549005 0.0023191152 0.001409043 0.002852606 0.0012803776 0.0019111518 0.0027553223 0.0015722284 0.0019864682 0.0023034243 0.0013619703 0.002347359 0.0027082497 0.0012427195 0.004735514 0.0030032387 0.0025168206 0.002504268 0.0025356498 0.003549282 0.0018829082 0.0014215957 0.0024571952 0.0015126029 0.0016475447 0.0014247339 0.0014843593 0.001791901 0.0016600974 0.0017824864 0.0027553223 0.0013525557 0.0012489958 0.0029341986 0.0014498393 0.0026831443 0.0017950392 0.0019362572 0.0011579886 0.0015188793 0.0008441705 0.0009696977 0.0010481522 0.0014247339 0.0018295591 0.0023410826 0.0032134966 0.023828203 0.0044844598 0.0060786554 0.0097252205 0.021433773 0.0033547147 0.004748067 0.005039918 0.015584203 0.003273122 0.006696877 0.009860163 0.0054384666 0.015019331 0.01672964 0.0047794487 0.0014027667 0.013428274 0.012285976 0.014081015 0.012643728 0.00615711 0.0018703555 0.0014906357 0.0027364932 0.003389235 0.00077826873 0.0014153194 0.0012238903 0.0014310102 0.00093831593 0.0017165847 0.0013870758 0.0014372866 0.0018389737 0.0012081994 0.0021622062 0.0017416901 0.0009696977 0.0012176139 0.002331668 0.00091634865 0.0059782336 0.0011234686 0.0023881553 0.0009602832 0.0007970978 0.0010575667 0.0007531633 0.00080651237 0.0007970978 0.0008975196 0.000731196 0.0007970978 0.0012803776 0.00082534144 0.00066215603 0.0010763959 0.00077826873 0.0007845451 0.000957145 0.0008755523 0.000731196 0.0012678249 0.00091948686 0.00083475595 0.0009257632 0.0010167705 0.001026185 0.0012552722 0.00092890137 0.0013431412 0.0008943814 0.0010167705 0.0010544286 0.0011422976 0.0010858104 0.0013337267 0.0015251556 0.0013462794 0.0020209881 0.0013619703 0.0018170064 0.005849568 0.004908114 0.0029655804 0.0020837518 0.0016538211 0.0016946174 0.0012333049 0.0009885269 0.0013117593 0.001478083 0.0011391594 0.0017542428 0.0027615987 0.0016820647 0.002174759 0.0018421118 0.0018232828 0.0014341484 0.0019331191 0.0025858607 0.0015847811 0.0015596757 0.000957145 0.0010795341 0.0074876985 0.0013368648 0.0012678249 0.0010136323 0.0019676392 0.0022186935 0.0058903648 0.0024477807 0.0031224894 0.0029122315 0.0013807993 0.0013964903 0.0015753666 0.0016977555 0.001321174 0.0012113376 0.0017479665 0.0013494176 0.0016475447 0.0010512904 0.0013274503 0.0018389737 0.0008159269 0.0006935379 0.0018923228 0.00072491966 0.00074688694 0.0008786905 0.0031821148 0.0020115736 0.0012427195 0.0016475447 0.0017416901 0.001393352 0.0005774252 0.00053035247 0.0011956467 0.0008316178 0.00058370153 0.00184525 0.0009445923 0.00091634865 0.0012458576 0.0009351777 0.0012835157 0.0006715706 0.0008316178 0.0010324613 0.0019393954 0.002209279 0.0029310605 0.030534495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027942287 3.1502015e-05 4.0952622e-05 3.780242e-05 4.4102824e-05 1.4175907e-05 2.5201613e-05 1.4175907e-05 0.00011025705 1.890121e-05 1.5751008e-05 1.5751008e-05 1.890121e-05 2.0476311e-05 1.1025706e-05 1.2600806e-05 0.0051773563 0.000105531755 0.00011498236 0.00018586189 0.000103956656 0.00011655746 0.00026304185 0.00010080645 6.300403e-05 3.3077118e-05 4.0952622e-05 2.9926916e-05 2.9926916e-05 3.1502015e-05 1.5751008e-05 3.937752e-05 0.017822266 7.717994e-05 0.0032998363 0.007977885 0.0036306074 2.0476311e-05 0.0019074471 0.0007040701 3.1502016e-06 4.7253025e-06 4.7253025e-06 9.450605e-06 7.875504e-06 4.7253025e-06 4.7253025e-06 4.7253025e-06 0.20946635 0.0005843624 0.034809727 0.005534904 0.006665827 0.0017908897 0.099943295 0.046542652 0.00018901209 0.00028981853 0.00037487398 0.00014963458 0.00011183216 0.0016333795 0.0033313383 0.00148532 0.044542275 0.00015908518 0.0069257184 0.002107485 0.0015372984 0.00049300655 0.01336158 0.006843813 9.4506046e-05 0.00013388357 0.0009009577 0.0034762474 0.0021027597 0.0018019154 0.0021279613 0.00048828125 0.0055207284 4.7253023e-05 0.0006205897 6.457913e-05 0.00042527722 0.00026934224 0.001530998 0.0007308468 2.0476311e-05 4.5677923e-05 0.00016223539 0.000812752 0.0005418347 0.00046938003 0.00024886592 0.0013923891 0.0093624 0.00027564264 0.0010269657 0.0011608494 0.0018806703 0.00083322835 0.0030226184 0.0018617691 0.0003937752 0.00037487398 0.0004394531 0.00015751008 0.00034967237 0.00013230847 0.00030556956 0.0010033392 0.0057002897 0.00029454386 0.00066154235 0.0024414062 0.0015703755 0.001953125 0.009025328 0.0018617691 0.0017404864 0.00076234876 0.0015514743 0.009809728 0.0034132435 0.01109186 0.0015672253 0.007845577 0.006313004 0.0004016507 0.00086788053 0.0017593876 0.0026949975 0.002783203 0.0064642136 0.003154927 0.002016129 0.0016680318 0.0027769026 0.007733745 0.0054719 0.008245653 0.0021027597 0.010061744 0.021478074 0.0040684855 0.002485509 0.0069934474 0.007299017 0.008212576 0.0045567667 0.005983808 0.011743952 0.0024020288 0.0030667214 0.0037314137 0.010994203 0.0034715221 0.005252961 0.014388545 0.020903163 0.0058656754 0.0056924145 0.008944998 0.0070280996 0.007623488 0.0103657385 0.00867723 0.008379537 0.004763105 0.004654423 0.004547316 0.006692603 0.004003906 0.0044465098 0.009992439 0.007480154 0.0030289188 0.0030588459 0.0036447833 0.003016318 0.0031439012 0.0043819305 0.003750315 0.0033817415 0.00328251 0.0035108996 0.0031832787 0.0028336064 0.00203188 0.001795615 0.0033140122 753.0 14.969456 11272.0 0.031139106 0.0019517388 0.002217885 0.0011533002 0.0027501774 0.005234209 0.0020404542 0.0058552166 0.0034599006 0.0016855926 0.001774308 0.0018630234 0.0025727467 0.009492548 0.0138396025 0.016057488 0.054826118 0.026171044 0.019162526 0.011621717 0.011444286 0.009226401 0.008605394 0.0076295245 0.0069198012 0.011533002 0.006831086 0.004169624 0.003548616 0.0042583393 0.00328247 0.0034599006 0.0027501774 0.00887154 0.0030163235 0.019339958 0.0069198012 0.008960255 0.0040809084 0.003548616 0.0023953158 0.005322924 0.0015968772 0.0023066003 0.0045244857 0.010468418 0.005234209 0.004701916 0.01312988 0.0027501774 0.00887154 0.01446061 0.008339248 0.0034599006 0.0051454934 0.010290987 0.0029276083 0.003992193 0.004879347 0.0011533002 0.0030163235 0.0005322924 0.0012420156 0.008073102 0.0015968772 0.02546132 0.00656494 0.029808374 0.014638041 0.043736693 0.012331441 0.01312988 0.0137508875 0.04169624 0.0025727467 0.0059439316 0.017476933 0.018364089 0.03105039 0.05322924 0.022622427 0.0007984386 0.043736693 0.027413059 0.047817603 0.009936125 0.0054116393 0.009758694 0.0040809084 0.00443577 0.001330731 0.000887154 0.0019517388 0.0016855926 0.0030163235 0.0016855926 5.8580737 4.0 36.0 0.0 4.0 318656.0 299008.0 1.0 4.0 121.0 1.0 1.0 1.0 0.0 0.0 1236594700.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 6.0 0.0 39424.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.678658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9322275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.342924 0.0 5.511518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39417.0 0.0 245552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 169.0 43344.0 180.0 40576.0 245552.0 49152.0 0.0 0.0 28352.0 290304.0 1912.0 294912.0 28.0 4656.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8696.0 0.0 0.0 516.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14169216 0.00858523 0.0041639972 0.003405895 0.0062082764 0.003927786 0.0020183083 0.0019502892 0.007841969 0.0015026008 0.0016930539 0.001497654 0.0045498507 0.0013653261 0.0012243413 0.003869661 0.0061316006 0.001497654 0.0011810566 0.0008916668 0.0024585763 0.00197255 0.00076428585 0.00082241115 0.0022965677 0.00075191876 0.000827358 0.000708634 0.0016101944 0.00060227705 0.0005923834 0.00056393904 0.0038721343 0.0005849631 0.0006505087 0.00054167834 0.0041454467 0.0013146211 0.00046376567 0.00056022895 0.0011810566 0.00065174536 0.0005824897 0.00094113516 0.0011031439 0.002337379 0.0006752428 0.00051694416 0.0057210135 0.002714575 0.0033069584 0.010106382 0.0035097788 0.0019465791 0.0028691636 0.001616378 0.003974781 0.0019713133 0.0007135808 0.00148034 0.0016646096 0.0009745263 0.00046500238 0.0005280745 0.01175986 0.003924076 0.004896129 0.008817731 0.003864714 0.03252543 0.0032649103 0.0027059182 0.0033799242 0.0035444065 0.0021865007 0.0023522195 0.002707155 0.004382895 0.0011587958 0.0015298084 0.009050232 0.002141979 0.0020541728 0.009746499 0.0032018383 0.013823927 0.003219152 0.0020937475 0.0019243184 0.00650756 0.0027393093 0.0032562534 0.0015644362 0.00463271 0.002375717 0.0036012952 0.0057593514 0.0044212327 0.0017116045 0.0032649103 0.010204081 0.006147678 0.003935206 0.0015755666 0.008783104 0.004229543 0.003665604 0.0014036641 0.004484305 0.0017647829 0.004406392 0.0040415633 0.0041355533 0.0017029475 0.004865211 0.0038832647 0.011110589 0.005573845 0.0017400489 0.0011043807 0.0037868014 0.0012626793 0.0005305479 0.00058990996 0.0016522425 0.0025167018 0.0010623325 0.0008743529 0.0052411705 0.0011575591 0.0010883035 0.00905889 0.0031202154 0.0032253356 0.0010338883 0.00061835424 0.0026613967 0.015181833 0.002232259 0.051704306 0.0011958971 0.010995575 0.00085703895 0.00068018964 0.002655213 0.00044397835 0.0007271846 0.00064556184 0.0011229313 0.0009361883 0.0015112577 0.0005676492 0.0011736363 0.0005886732 0.00049963023 0.0007123441 0.0009559757 0.00047613276 0.00046500238 0.00041924417 0.00089661364 0.0033279825 0.0004662391 0.002550093 0.0014234515 0.0008174643 0.00056393904 0.00045263532 0.0010462553 0.00045758212 0.0005095239 0.00048726314 0.00084714533 0.0004501619 0.0007420251 0.00065792893 0.0013245147 0.0006851365 0.0017301552 0.0005367315 0.00087806303 0.00067029597 0.0007123441 0.0015792768 0.0031498964 0.0025340156 0.0046500238 0.00082364783 0.0010004971 0.00047984289 0.00085332885 0.0007148175 0.011994836 0.0011489022 0.002286674 0.01034754 0.004356924 0.0010586225 0.0035567735 0.0033675572 0.0018699032 0.0017647829 0.0009831833 0.001302254 0.0016819235 0.00089290354 0.0009918401 0.00094237184 0.0028741106 0.0011501389 0.0029742839 0.0013529591 0.0018130146 0.00076799595 0.0016040109 0.0008755896 0.0033675572 0.0006542188 0.00108583 0.0017870438 0.0014964172 0.00071852765 0.00056270236 0.0008421985 0.002438789 0.00065792893 0.00087806303 0.0009906035 0.0024326055 0.002431369 0.0005503353 0.00069379347 0.027605807 0.0060252436 0.0010932504 0.0058990996 0.006532294 0.0010425452 0.00068018964 0.0007543922 0.007242165 0.0009769996 0.0018167248 0.0009188744 0.0091368025 0.0021704233 0.0040959786 0.0025933776 0.010066807 0.0030534333 0.0030732206 0.0036124254 0.014887497 0.003995805 0.004301272 0.06892794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036026232 0.0 0.0 0.001597448 0.0011451063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009029485 0.0 0.0 0.00562329 0.004382758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001245489 0.0 0.0 0.0013923452 0.0011692725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055086554 3.7178775e-06 1.7969742e-05 6.69218e-05 0.0001487151 7.559684e-05 6.1964624e-06 7.435755e-06 1.5491156e-05 0.0 0.0 1.8589387e-06 8.055401e-06 3.0982312e-06 4.95717e-06 0.00035815555 0.0060917423 0.00020572255 0.00021315832 0.00055024587 0.0019091301 0.0004876616 0.002445124 0.0010639327 0.00019456893 0.00010038269 9.232729e-05 7.497719e-05 0.0006710769 0.00037984314 0.0004002915 0.0028863123 0.01331186 0.00064071425 0.0009449605 0.002079533 0.004125605 0.0036057215 0.0069604865 0.0032066694 0.00045358107 0.00023546557 0.0003104428 0.00033027146 0.002080772 0.00110359 0.0011209401 0.008981773 0.020753812 0.0013018767 0.0012324764 0.0020764347 0.0073105865 0.002559139 0.006685983 0.0032537624 0.0023899756 0.0009740839 0.0009759429 0.0013347181 0.004054965 0.0026477484 0.0026719146 0.009573535 0.020209143 0.001560889 0.0012504462 0.0022660464 0.009421102 0.0040413328 0.005881682 0.0034055759 0.0058079446 0.0014127934 0.0017777651 0.0023038448 0.003860396 0.0017715687 0.0040425723 0.009667101 0.07400373 0.009815817 0.007279604 0.010079785 0.04205663 0.03059937 0.021301579 0.013950716 0.051467817 0.00529054 0.0060545634 0.009141642 0.016785597 0.0070726424 0.027437937 0.06106304 0.060251303 0.010128737 0.009117475 0.011670417 0.028117068 0.030603088 0.017669212 0.01460878 0.049815223 0.0058847805 0.0064821197 0.009149697 0.021097096 0.010936757 0.025080802 0.0485245 0.00023360664 4.771276e-05 8.613083e-05 5.2050287e-05 9.0468355e-05 9.91434e-05 4.337524e-05 6.56825e-05 0.00013446323 2.9123374e-05 3.34609e-05 2.9123374e-05 8.427189e-05 6.0105685e-05 7.311826e-05 0.0001071988 5347.0 16.5562 88526.0 0.0052865823 0.00012425728 0.00054221356 9.036893e-05 0.0032532816 0.0005535097 0.00012425728 0.00016944174 0.00038406797 0.00039536407 0.00071165536 0.0005648058 0.000485733 0.013837743 0.0010957232 0.00045184465 0.024648126 0.016413257 0.025585704 0.011804442 0.02205002 0.013815151 0.022434087 0.01067483 0.024874048 0.0135440435 0.00080202427 0.0004970291 0.00092628156 0.00051962136 0.00011296116 0.00013555339 0.0013216456 0.008280054 0.00718433 0.014086257 0.0069245193 0.015656417 0.004586223 0.0029821747 0.004778257 0.017079728 0.0023834805 0.003874568 0.006619524 0.0064726747 0.0043038204 0.008946524 0.012527393 0.002541626 0.005806204 0.01986987 0.012685538 0.0060773105 0.005727131 0.003388835 0.002699772 0.0051962137 0.0014797912 0.002903102 0.0011296116 0.002711068 0.0028240292 0.021541694 0.00024851455 0.029731378 0.012064252 0.02591329 0.033685017 0.051182702 0.010844272 0.009940582 0.0264668 0.03336873 0.0067663738 0.00663082 0.03196801 0.011544631 0.03621535 0.03289429 0.026794389 0.00253033 0.036904413 0.027709374 0.048155345 0.010720015 0.009692068 0.0054560243 0.021914465 0.0064839707 0.0010166505 0.0002824029 0.0005309175 0.00024851455 0.00029369903 0.00030499513 5.743238 0.0 2.0 14.0 4.0 808598.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5830636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0