Input: 0.11428816 0.020218823 0.011853725 0.0058840862 0.004838449 0.0059791445 0.0025000237 0.00305136 0.00910655 0.0015399386 0.002252873 0.001663514 0.0031654292 0.0026426106 0.0014163633 0.008127454 0.006948735 0.0014448806 0.00083650986 0.0007509577 0.0013498227 0.008098937 0.0011121779 0.0009315678 0.0031274061 0.0011026721 0.0005323244 0.0008555214 0.00081749825 0.0009981083 0.0007604635 0.0009790967 0.010998203 0.00048479548 0.0008079925 0.00059886504 0.029429937 0.00068441714 0.0006368882 0.0004372665 0.008070419 0.00048479548 0.00062738237 0.0019581935 0.0005893592 0.0006939229 0.00055133604 0.00039924335 0.0053232447 0.0004277607 0.0005608418 0.008849894 0.00038023174 0.00055133604 0.0005133129 0.00041825493 0.0050570825 0.0021292977 0.00059886504 0.005104611 0.0008079925 0.0010551431 0.00049430126 0.00067491137 0.010817593 0.010332798 0.002119792 0.0031179003 0.011853725 0.0044106883 0.000646394 0.0013022937 0.09485832 0.009410736 0.00086502725 0.0017395603 0.014791016 0.003403074 0.0012072359 0.0013308112 0.004325136 0.0010741547 0.0004657839 0.0041635376 0.0035551668 0.0025190352 0.0016254907 0.002766186 0.0023859541 0.0004562781 0.00038973754 0.0035836843 0.0034886263 0.0033460394 0.001568456 0.0026616224 0.002490518 0.0003327028 0.00031369118 0.0023859541 0.0012642706 0.00037072596 0.005532372 0.0003041854 0.0020247342 0.00036122015 0.0003041854 0.0005323244 0.001568456 0.00038973754 0.00040874913 0.00034220857 0.0016254907 0.00038023174 0.0010931663 0.0010361315 0.013887965 0.0083936155 0.0005893592 0.0005608418 0.0022908964 0.0009886025 0.00024715063 0.0009030504 0.0033840626 0.00092206197 0.00084601564 0.0011311894 0.0033175221 0.0022243557 0.0005038071 0.025047766 0.0053422563 0.011654103 0.00037072596 0.00049430126 0.0022243557 0.01963897 0.0007224403 0.056217264 0.0020627573 0.01419215 0.0004372665 0.00034220857 0.005361268 0.00027566802 0.0004372665 0.000646394 0.0012357532 0.00057034765 0.00040874913 0.00047528968 0.0012357532 0.00040874913 0.00027566802 0.00038023174 0.0005608418 0.00038973754 0.00034220857 0.00024715063 0.0014829038 0.000323197 0.00031369118 0.0003327028 0.00038023174 0.000114069524 0.00031369118 0.0003041854 0.0012642706 0.0003041854 0.00027566802 0.00023764484 0.0005798534 0.00023764484 0.00028517382 0.00023764484 0.00101712 0.00024715063 0.0002661622 0.00021863326 0.0004277607 0.0002661622 0.0014163633 0.00083650986 0.0035551668 0.0025665644 0.0019867108 0.0012642706 0.00071293453 0.00035171438 0.00047528968 0.0007984867 0.011578057 0.0038593523 0.0016349965 0.011207331 0.008336581 0.00078898086 0.0022813906 0.0067966427 0.0042015607 0.0047624027 0.0007224403 0.0025190352 0.032623883 0.0017680776 0.0015779617 0.0025950817 0.0023004021 0.00095057936 0.0032414757 0.0016730197 0.000874533 0.0009600852 0.00083650986 0.0009886025 0.0037642943 0.0019486877 0.00101712 0.002119792 0.0003327028 0.0004277607 0.00038023174 0.0005323244 0.00203424 0.00055133604 0.0005038071 0.0004657839 0.00054183026 0.000323197 0.0004562781 0.0004562781 0.018678885 0.0035361552 0.0020057224 0.005171152 0.0070437933 0.000646394 0.0004657839 0.0004372665 0.0028707497 0.0011026721 0.00081749825 0.00065589976 0.0006083708 0.00037072596 0.0020912746 0.00081749825 0.0033840626 0.0021292977 0.0013022937 0.0009886025 0.00071293453 0.0014829038 0.0024620006 0.04648333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005245398 0.0002562268 0.0006043085 0.00015953743 0.00096689357 0.00020788211 0.00028039914 0.00026106127 0.0007203357 0.000120861696 6.2848085e-05 0.00010152382 0.0003915919 5.8013615e-05 0.00014019957 0.00032390933 0.0036983679 0.00045443999 0.0007638459 0.00026589574 0.0014068302 6.768255e-05 0.00011602723 7.251702e-05 0.0013874923 0.0001643719 4.834468e-05 0.00018854425 0.00045927445 0.00023688893 0.0001353651 0.0004351021 0.02347134 0.0028039913 0.005530631 0.0021851794 0.013555848 0.002243193 0.0007348391 0.0015373607 0.011907294 0.0011747757 0.0004060953 0.001725905 0.005163212 0.0012182859 0.0021320004 0.0034179688 0.13144918 0.022277229 0.039144687 0.024370553 0.1255898 0.02797223 0.012975711 0.02856687 0.10468557 0.008663367 0.004520227 0.011114442 0.073517755 0.016500039 0.03151106 0.05001257 0.03075205 0.0050665224 0.011689743 0.00617845 0.031863976 0.0075079286 0.004529896 0.007976872 0.027000504 0.0031907489 0.0018951114 0.0032681003 0.01843866 0.004476717 0.009668936 0.014614596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 399.0 6.2681704 2501.0 0.016393442 0.0015993603 0.0007996801 0.00039984006 0.044382248 0.0011995202 0.0015993603 0.00039984006 0.012395042 0.0007996801 0.00039984006 0.006397441 0.0 0.00039984006 0.0039984006 0.0 0.011195522 0.0007996801 0.0031987205 0.011595362 0.00039984006 0.0007996801 0.00039984006 0.0007996801 0.015193922 0.013994402 0.0019992003 0.017992802 0.005197921 0.00039984006 0.0 0.00039984006 0.06357457 0.07676929 0.0011995202 0.0031987205 0.022391044 0.009596162 0.00039984006 0.0019992003 0.094762094 0.0043982407 0.0007996801 0.0007996801 0.013594562 0.00039984006 0.0011995202 0.0019992003 0.005597761 0.0027988805 0.0007996801 0.053178728 0.023990404 0.039584167 0.051979207 0.05637745 0.005997601 0.0015993603 0.0007996801 0.031587366 0.022391044 0.034786087 0.034786087 0.034386244 0.0027988805 0.0039984006 0.00039984006 0.012794882 0.007197121 0.0015993603 0.017992802 0.0007996801 0.0039984006 0.0015993603 0.0007996801 0.0 0.0023990404 0.0011995202 0.0023990404 0.0015993603 0.0023990404 0.00039984006 0.005197921 0.0027988805 0.022790883 0.010395842 0.0031987205 0.0007996801 0.007197121 0.0 0.0 0.00039984006 0.0043982407 0.0007996801 0.0023990404 0.0019992003 5.177224 0.0 0.0 0.0 2.0 105199.0 270336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1164279300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 5.0 2.0 148992.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53760.0 0.0 0.0 0.0 0.0 11776.0 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 -148992.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.230524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3858.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53535.0 0.0 0.0 0.0 0.0 11460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148804.0 0.0 1984.0 0.0 0.0 0.0 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 0.0 223.0 208960.0 200.0 202008.0 1984.0 262144.0 11460.0 249856.0 0.0 0.0 1520.0 266240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2136.0 155648.0 64.0 201848.0 0.0 0.0


Input: 0.18722975 0.020921625 0.010119104 0.01273565 0.0077744205 0.0127969 0.0060132216 0.006274339 0.009293844 0.0028422035 0.002843278 0.0048484015 0.004772108 0.004569017 0.0011379559 0.00981178 0.005659692 0.0016010901 0.0013431964 0.001062737 0.0015376912 0.008817815 0.00083493086 0.0011325831 0.0034976832 0.0015376912 0.0007457426 0.00089080783 0.0010315748 0.00078872486 0.0007435935 0.00080161955 0.009643075 0.0016634143 0.0012765737 0.0010562896 0.013881128 0.0011293595 0.0011078684 0.0009101498 0.0052438383 0.0015699279 0.0006458088 0.00090800074 0.0015366166 0.0018912205 0.0015570332 0.0010036363 0.0063355886 0.0009735487 0.001157298 0.0032999648 0.0016494452 0.00063398865 0.00054909865 0.0005877827 0.0032741753 0.0015366166 0.00095205754 0.003240864 0.00087468943 0.0009305664 0.0011229122 0.0008413782 0.014802024 0.006529009 0.0015559586 0.0026530814 0.005892871 0.004139194 0.0012926921 0.0037706208 0.0609521 0.0068255863 0.00072210236 0.0012035039 0.013543718 0.0051105935 0.001232517 0.0011744909 0.0043508816 0.0007790539 0.0015344674 0.0025413274 0.0024693322 0.0021996184 0.0013775822 0.0032311932 0.00259613 0.00071458047 0.00057918625 0.0016215066 0.0044690827 0.0013582401 0.0011347323 0.002758388 0.003209702 0.005624232 0.0014345337 0.003983383 0.004106957 0.009991231 0.002033062 0.0017569008 0.0028572471 0.0067826044 0.0005641425 0.0011605216 0.005368487 0.0022404515 0.005834845 0.006178703 0.007151177 0.0005856336 0.006972801 0.0043895654 0.0125583485 0.005183663 0.001676309 0.0022372277 0.002520911 0.0032344167 0.000725326 0.00064473425 0.0019911542 0.0007178041 0.0005329803 0.0008360054 0.004335838 0.0011046446 0.0012432626 0.010988421 0.0038071556 0.008884437 0.0006844929 0.00074681715 0.0021716799 0.010817566 0.0011691181 0.038387477 0.0010208292 0.016884515 0.00061464665 0.0006844929 0.0037373095 0.0004932217 0.000489998 0.00084460183 0.0006715982 0.0009713996 0.00084245275 0.0006006774 0.0010670351 0.00042982283 0.00047710334 0.00039221332 0.00081773795 0.00049429626 0.00044916486 0.00081988703 0.0020760442 0.00087254035 0.0009004788 0.0009950398 0.0013593147 0.000856422 0.000781203 0.0009488339 0.0013378236 0.00083063263 0.0007973213 0.00081988703 0.000987518 0.0007736811 0.00086179475 0.0009402374 0.0018106287 0.00047925246 0.0004975199 0.0005512478 0.00065118156 0.00051363825 0.0006124975 0.0008166634 0.0016451469 0.0010659606 0.004306825 0.0009735487 0.00073499704 0.0005082655 0.00055662054 0.000659778 0.008073147 0.0020158691 0.0012056531 0.004592657 0.0039221332 0.0005512478 0.0008886587 0.0024661084 0.0033493943 0.0031086935 0.0011852365 0.0018278216 0.023199687 0.0005942301 0.0012486354 0.0016344013 0.0021824255 0.0007532645 0.0015398402 0.0006780455 0.00060712476 0.0004910726 0.00083170715 0.0009918162 0.0025972044 0.0013120342 0.0008059178 0.0012303678 0.0006780455 0.00044164294 0.0005157874 0.0006253922 0.0023715475 0.0005888573 0.0005759626 0.0006103484 0.00070383487 0.00047387966 0.00044164294 0.00065118156 0.010763838 0.0049365154 0.00065655436 0.0023812184 0.00361481 0.0006490325 0.0005501732 0.000705984 0.002668125 0.0007478917 0.0009735487 0.0009004788 0.00063398865 0.00047710334 0.0014323846 0.0018783257 0.0024994197 0.0017483043 0.0015967918 0.0012583063 0.002634814 0.0028905584 0.0027497916 0.029227952 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009744091 0.0 4.8451284e-06 1.6688775e-05 2.0457208e-05 1.2381995e-05 4.0376068e-05 1.6688775e-05 5.383476e-07 3.768433e-06 1.0766952e-06 0.0 4.8451284e-06 2.1533904e-06 5.383476e-07 3.768433e-06 0.0018567608 7.536866e-06 9.690257e-06 8.6135615e-06 2.207225e-05 1.561208e-05 7.267692e-05 3.7145983e-05 1.0228604e-05 3.983772e-05 4.3067805e-05 4.952798e-05 8.075213e-06 6.9985185e-06 7.536866e-06 9.690257e-06 0.014174153 0.0005071234 0.00065678405 0.00023364284 0.00020941721 0.0002115706 0.00022233755 8.3443876e-05 7.913709e-05 0.0004888196 0.00021480068 0.00016957949 9.528752e-05 9.205744e-05 0.00011682142 8.559726e-05 0.0044774367 2.8532422e-05 3.0685813e-05 5.8141537e-05 0.0010180153 3.337755e-05 2.6379032e-05 0.0004333698 0.00011520638 8.021379e-05 3.2300853e-05 3.337755e-05 5.760319e-05 3.7145983e-05 5.329641e-05 0.000100132645 0.028128661 0.0005216588 0.00074991817 0.0004435984 0.004081213 0.00071815564 0.003455653 0.0024091054 0.00055126793 0.00031008822 0.00042044945 0.0002783257 0.0002115706 0.00028478587 0.00048666622 0.0010503161 0.033170287 0.000844129 0.0018045411 0.000932418 0.0052112043 0.001524062 0.0074927215 0.004524273 0.00052865734 0.00052327383 0.00041721936 0.00054749945 0.0005453461 0.0006051027 0.00061371626 0.0013550208 0.03510457 0.002950683 0.005233815 0.002673434 0.004637326 0.0040128427 0.018614983 0.0114641115 0.00075207156 0.0005135836 0.00046028718 0.0005184287 0.00070308195 0.0006826247 0.0009415699 0.0044521345 0.028733764 0.002369806 0.0034287358 0.0017754703 0.0033275264 0.0028990016 0.010771259 0.0069565275 0.0013431772 0.0014336196 0.001350714 0.0010740034 0.0024699387 0.0011536789 0.0016887963 0.0030938834 0.019180786 0.0014508467 0.0022136853 0.0016285015 0.0032257787 0.0025022395 0.0062722876 0.004054834 0.0025135449 0.0020161117 0.0071427957 0.0013302568 0.004956028 0.0013464073 0.0023143562 0.0017986193 0.01909788 0.0021986114 0.0024015685 0.0021786927 0.010441251 0.0018249983 0.0026874312 0.0026379032 0.009948663 0.0008446673 0.00070308195 0.0014174691 0.0043003205 0.0010363191 0.0018293051 0.0026039872 0.115730196 0.020197725 0.027303373 0.016771141 0.097188964 0.019056967 0.011959392 0.018118087 0.08587129 0.006919381 0.0049554897 0.01047732 0.045374624 0.010573146 0.021979654 0.038791172 0.0030917302 0.000856511 0.0010847703 0.0010373958 0.0021426233 0.0008204417 0.0013038778 0.0011019974 0.0019025203 0.00035961618 0.00033646723 0.00045005858 0.0011547556 0.00040214564 0.0006088711 0.0009867911 0.00019165174 6.298666e-05 7.321527e-05 0.00011735977 5.598815e-05 6.244832e-05 0.00013404855 9.797926e-05 5.329641e-05 3.2300853e-05 4.252946e-05 3.768433e-05 3.553094e-05 3.28392e-05 3.768433e-05 3.4992594e-05 3015.0 26.923716 81175.0 0.024305513 0.001355097 0.0018724977 0.00014782876 0.0099784415 0.00080073916 0.0041145673 0.00016014783 0.011678472 0.011407453 0.0002710194 0.00024638127 0.008401602 0.012676316 0.00842624 0.00089929166 0.006541423 0.0037203573 0.0018478596 0.002118879 0.0007391438 0.00035725284 0.00045580536 0.0002710194 0.0013058208 0.0026362797 0.0036094857 0.0005543579 0.0010471204 0.0010594395 0.006566061 0.0003449338 0.0040160147 0.02393594 0.003092085 0.010594395 0.0072436095 0.0061102556 0.00421312 0.005186326 0.0131567605 0.01026178 0.0003449338 0.00041884815 0.007674777 0.0037449955 0.0030428087 0.0024022174 0.009547275 0.0010840776 0.007354481 0.0111241145 0.008512473 0.008955959 0.008524792 0.0133292265 0.0009239298 0.0005174007 0.00062827225 0.0010594395 0.011370496 0.003252233 0.0045087775 0.009990761 0.0006159532 0.044705883 0.008044349 0.030674469 0.023246074 0.08619649 0.010089314 0.011234987 0.0129842935 0.04909147 0.0005543579 0.005814598 0.028986758 0.014511857 0.049276255 0.053045888 0.025734523 0.00039421004 0.05565753 0.032817986 0.06376348 0.01948876 0.007182014 0.013834309 0.0049522636 0.006368956 0.0016630737 9.855251e-05 0.0006036341 0.0001355097 8.623345e-05 0.00210656 5.4863286 2.0 11.0 0.0 4.0 930616.0 942080.0 1.0 0.0 190.0 1.0 1.0 1.0 1.0 0.0 570092740.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 10.0 0.0 14.0 12.0 10.0 0.0 10.0 0.0 589312.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 239104.0 0.0 0.0 0.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -589312.0 0.0 36352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4313354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4823422 0.0 0.0 0.0 0.0 5.960252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2383021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3076158 0.0 0.7724467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 239014.0 0.0 0.0 0.0 0.0 38976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -589175.0 0.0 36168.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 940.0 824560.0 37672.0 888832.0 38976.0 843776.0 8504.0 922112.0 10784.0 929792.0 84.0 692592.0 0.0 0.0 0.0 0.0 40.0 629144.0 256.0 628800.0 0.0 0.0 2048.0 635600.0 1312.0 817616.0 0.0 0.0


Input: 0.0047405185 0.0038790423 0.0039016285 0.003877843 0.0039595934 0.0039052265 0.0038890361 0.0038882368 0.003854657 0.0039038272 0.0039609927 0.0038940331 0.003894633 0.0039048267 0.0038690483 0.0039030276 0.0039294115 0.0039116223 0.0039689876 0.003923815 0.003927213 0.003961392 0.003947001 0.0038758442 0.0039114226 0.0038530582 0.003907225 0.0038954325 0.0038570557 0.003918818 0.0038928338 0.0039012288 0.003894633 0.0039066253 0.0038958322 0.003986177 0.003905826 0.0039328095 0.0038776433 0.0039048267 0.0039248145 0.003917819 0.0038854384 0.0039192177 0.0039142207 0.0038890361 0.003944203 0.0039134216 0.003934009 0.0038992302 0.003939006 0.0039282124 0.003983179 0.0038662502 0.003867849 0.0038652506 0.0038506596 0.003910823 0.003892634 0.003919018 0.0038588545 0.00386665 0.0038758442 0.0038782428 0.003961392 0.0038654506 0.0039246147 0.0039098235 0.003922416 0.0039667888 0.0038842391 0.003922216 0.003891235 0.0038940331 0.0039096237 0.003891035 0.0038716467 0.0038716467 0.0039230157 0.0039098235 0.0039511984 0.0039589936 0.0039328095 0.0039296118 0.003927413 0.0039430032 0.0039577945 0.0039036274 0.0038180794 0.0039505986 0.0039304113 0.0039310106 0.0038688486 0.003955196 0.0039214166 0.0039096237 0.00386645 0.0039100237 0.0038722465 0.0039380067 0.0038850387 0.003947001 0.0039919736 0.0039150203 0.0039244145 0.003966989 0.0039182184 0.003901029 0.0039400053 0.0039062258 0.003913821 0.0038908352 0.0038306718 0.003859654 0.003959793 0.00391582 0.0039891754 0.0039360076 0.003892434 0.003909424 0.0038618527 0.0038712472 0.0038806414 0.003920617 0.0038750446 0.0039244145 0.0039166193 0.0039034274 0.0039152205 0.0038818405 0.0039202175 0.0039166193 0.0039104233 0.003961792 0.0038558564 0.003889636 0.0038964318 0.0038982306 0.003869448 0.0039525977 0.0038638515 0.003925214 0.003846862 0.003921217 0.003928412 0.003927413 0.0039266134 0.0039082244 0.003891035 0.0039062258 0.0038656504 0.003925814 0.0039196177 0.003970387 0.0038740453 0.0039130216 0.0038590545 0.003884839 0.0038790423 0.0038732458 0.0039202175 0.003925214 0.003935208 0.0038134821 0.0039082244 0.0038964318 0.0039062258 0.0038682488 0.0038776433 0.0038834396 0.003881441 0.0038984306 0.0039300113 0.00388284 0.003907625 0.0038988304 0.003891035 0.003920617 0.0038858382 0.00391562 0.0038688486 0.0038978308 0.0038864377 0.0039028279 0.0039200173 0.003902628 0.0039545964 0.0038822403 0.0038682488 0.0038830398 0.00386645 0.003886038 0.003947001 0.0039118226 0.0038720465 0.0039214166 0.0039028279 0.0038830398 0.003901029 0.003830072 0.0038988304 0.003904427 0.003909424 0.0039034274 0.0039326097 0.0038724463 0.003918818 0.003908824 0.0039242147 0.0038560564 0.0039410046 0.0039034274 0.0038830398 0.003919418 0.0038508594 0.0038726463 0.0039062258 0.0038968315 0.0038966315 0.0038770435 0.0038838394 0.0038550568 0.0038354688 0.0038978308 0.003820478 0.003874645 0.0038970313 0.0038698479 0.00393241 0.0039036274 0.0038754444 0.0038690483 0.0039328095 0.0038936334 0.0038690483 0.0038526584 0.0039677885 0.0038984306 0.0038898357 0.00386665 0.0039102235 0.0038908352 0.0039062258 0.003878043 0.003907425 0.0038956322 0.0038952325 0.0038972313 0.0038996297 0.0039020283 0.0038916348 0.0039360076 0.0038772435 0.0038312713 0.0038810412 0.004025753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013326759 3.6991005e-06 8.597909e-06 8.497933e-06 1.1897107e-05 3.6991005e-06 1.669594e-05 1.1197277e-05 3.9990275e-07 2.4993922e-06 9.9975686e-08 5.998541e-07 1.1997082e-06 9.9975686e-08 5.998541e-07 1.6995866e-06 9.7976175e-05 2.1994651e-06 1.0997326e-06 1.9995136e-06 1.3596693e-05 1.1797131e-05 4.698857e-05 2.2094626e-05 2.2994407e-06 6.998298e-07 7.998055e-07 8.997812e-07 6.998298e-07 5.998541e-07 7.998055e-07 1.9995137e-07 9.897593e-05 3.2991977e-06 9.49769e-06 1.0997325e-05 1.4496474e-05 1.10973015e-05 2.8792998e-05 1.8195575e-05 2.6993434e-06 3.9990275e-07 2.9992705e-07 3.9990275e-07 1.4996352e-06 3.9990275e-07 1.7995624e-06 1.899538e-06 6.198492e-05 3.6991005e-06 2.0994894e-06 3.5991247e-06 1.3296766e-05 2.7493314e-05 4.418925e-05 2.3994164e-05 6.0985167e-06 8.997812e-07 7.998055e-07 1.3996596e-06 3.199222e-06 9.997568e-07 3.5991247e-06 7.398201e-06 0.00016056096 1.4296523e-05 9.597666e-06 1.4996353e-05 1.969521e-05 4.099003e-05 1.9795185e-05 1.689589e-05 2.689346e-05 8.198006e-06 6.398444e-06 1.0497447e-05 1.5596206e-05 9.997569e-06 1.3996596e-05 2.109487e-05 0.0003141236 6.90832e-05 1.5196304e-05 3.8990518e-05 8.657894e-05 0.00015826151 6.9183174e-05 8.437948e-05 0.00019295307 8.497933e-06 8.897836e-06 1.7795672e-05 8.657894e-05 1.9495259e-05 6.9383124e-05 0.00019385286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062287353 0.062487304 0.06257198 0.06226346 0.062363233 0.06254089 0.06246331 0.062272254 0.06220037 0.062434316 0.062324442 0.06230705 0.062314846 0.06217308 0.06212979 0.062204573 23535.0 5.646314 132886.0 0.010475144 0.010414942 0.010377316 0.010693376 0.010377316 0.010572973 0.010332164 0.010031154 0.010324639 0.009918276 0.010309589 0.011039537 0.010520295 0.010731002 0.010678326 0.010422467 0.010324639 0.010053731 0.010241861 0.010008579 0.010460094 0.010068781 0.010723477 0.009827972 0.009993528 0.010460094 0.010580498 0.009654893 0.010505245 0.009933326 0.010429992 0.010256912 0.011144891 0.010490195 0.011024487 0.010339689 0.009993528 0.010204235 0.010708427 0.01065575 0.010776154 0.010287013 0.010896558 0.010339689 0.010302063 0.010618124 0.010294538 0.010136508 0.010588023 0.010565447 0.0106482245 0.01049772 0.010399892 0.01019671 0.00991075 0.010294538 0.010437517 0.010128982 0.010234336 0.010475144 0.010098882 0.010557922 0.010392366 0.009993528 0.010377316 0.0106482245 0.010234336 0.010249387 0.010505245 0.011987719 0.010490195 0.009970953 0.0105503965 0.010873982 0.010437517 0.01021176 0.010821305 0.010429992 0.010881508 0.010700902 0.009948377 0.010332164 0.011528679 0.010317114 0.01082883 0.010317114 0.010362266 0.010339689 0.0098430235 0.010377316 0.010715952 0.010249387 0.010106407 0.010271963 0.009767771 0.0109492345 6.5841293 1.0 0.0 0.0 90.0 5003039.0 43724800.0 1.0 0.0 56.0 0.0 1.0 0.0 0.0 0.0 1494522800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 9728.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2048.0 43696130.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1129384 -5.099518 7.9999547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9628.0 -1658.0 43696130.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 20716.0 43696130.0 24576.0 0.0 0.0 393016.0 43709440.0 392.0 43720704.0 56.0 5584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 236.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.17041548 0.008878277 0.0049040723 0.0051391283 0.010022491 0.0046907617 0.0037422546 0.002727476 0.009940688 0.002996703 0.0032182974 0.0042838147 0.0067234254 0.0024292555 0.004587213 0.0070868814 0.017862173 0.0021072186 0.0010033881 0.0010147785 0.0025141656 0.001972605 0.0009868203 0.0007600484 0.0019104758 0.0008449584 0.00067306735 0.0008097518 0.0015252742 0.000750729 0.0006844577 0.0009319394 0.0029490707 0.00068342226 0.0008988038 0.0010417012 0.001806927 0.0012042728 0.00063061237 0.0005809089 0.001185634 0.0006885997 0.0006067961 0.00220559 0.0009516137 0.0008014679 0.0008014679 0.0006523576 0.0034367854 0.001978818 0.002294642 0.004979663 0.0020792603 0.0014859256 0.0016805974 0.001535629 0.0022677192 0.0026135724 0.0015853326 0.0036987641 0.0021848802 0.001999528 0.0014652159 0.004975521 0.013706758 0.004562361 0.0026995179 0.004483664 0.004228934 0.011575723 0.0027088372 0.0020160957 0.0026953758 0.0039213942 0.00083978096 0.00082424865 0.003650096 0.004850227 0.0019622503 0.0010810498 0.008618369 0.0031178552 0.0014538255 0.0036801253 0.0020430184 0.0071562594 0.004391506 0.00399802 0.0028310248 0.004330412 0.0024416812 0.0015936164 0.0010634464 0.0036231733 0.0023619486 0.002879693 0.0013668445 0.0043842574 0.0033342722 0.0017468687 0.002903509 0.00802814 0.0028009957 0.0017334074 0.003514447 0.008157576 0.0034792405 0.0008170002 0.0035776119 0.0019560372 0.004061185 0.004430854 0.002114467 0.0005840154 0.004296241 0.00293768 0.012613283 0.012073793 0.0013150701 0.0012881474 0.0015542678 0.0011172919 0.00054777326 0.000398663 0.0012353375 0.0024106167 0.0013430283 0.00093711686 0.0025100235 0.0022604708 0.0011483565 0.009059487 0.002867267 0.007524893 0.0024106167 0.0008439229 0.002080296 0.008351212 0.0014662513 0.027827712 0.0010820852 0.008730201 0.0016453909 0.00056019914 0.0016619586 0.0004597568 0.00039037908 0.00057573145 0.00088637794 0.00057055405 0.0004048759 0.00038209517 0.001499387 0.0005560572 0.0002889012 0.0003707048 0.00081182277 0.00050117634 0.00054156035 0.0006865287 0.001242586 0.00073933863 0.0003158239 0.00045250836 0.0010127075 0.0017851817 0.00036034992 0.0002920077 0.0013792703 0.00041212433 0.0011556048 0.0005550217 0.0010437722 0.00028993672 0.00031168197 0.0004494019 0.0011266113 0.00041833727 0.00041212433 0.00043904703 0.0008998393 0.0016371069 0.0017489396 0.0007414096 0.001936363 0.0005467378 0.0004587213 0.001232231 0.0009681815 0.0017385848 0.0008812005 0.0008646327 0.0076481164 0.0030505485 0.0028662314 0.0037339707 0.00212068 0.00063268334 0.0023101743 0.0025783658 0.0025814723 0.002097899 0.0007124159 0.0011390371 0.1457636 0.0006606415 0.0025462657 0.0016081133 0.0018058915 0.0008221777 0.0010064946 0.0007880066 0.0013047152 0.00033653367 0.0005933348 0.000619222 0.0018887306 0.0011172919 0.00043904703 0.00093815237 0.0013295669 0.0007476225 0.00056019914 0.00051567313 0.0020513022 0.0006689254 0.0006223284 0.00049703434 0.001495245 0.00055087975 0.0005840154 0.0004504374 0.013054401 0.006131126 0.00055191526 0.0037526095 0.005022118 0.0003872726 0.00044733094 0.00052602804 0.003516518 0.0014010156 0.0009391878 0.0007828291 0.0019208307 0.00062336394 0.002826883 0.0021299992 0.0036718412 0.0013606315 0.002636353 0.0025628335 0.0052230028 0.0025338398 0.0029325027 0.04194038 0.03605195 1.5032013e-05 2.5917263e-06 2.0733812e-06 2.5917263e-06 2.0733812e-06 0.0 1.0366906e-06 3.1100717e-06 1.5550359e-06 0.0 5.183453e-07 0.05308011 1.0366906e-06 1.5550359e-06 6.7384885e-06 2.2288847e-05 1.0366905e-05 2.5917263e-06 0.0 6.2201434e-06 1.1403596e-05 5.1834527e-06 3.1100717e-06 1.866043e-05 4.6651076e-06 1.0366906e-06 3.1100717e-06 0.0020111797 0.0 9.848561e-06 1.3476977e-05 0.0010211401 2.2288847e-05 1.29586315e-05 4.6651076e-06 4.6651076e-06 1.0885251e-05 3.9912586e-05 5.1834527e-06 1.1921941e-05 2.5917263e-06 3.6284168e-06 1.5032013e-05 0.0019899276 2.0733812e-06 1.29586315e-05 2.4880574e-05 0.005584652 0.00017831077 5.701798e-05 5.027949e-05 9.433884e-05 0.00012077445 0.00011040754 7.516007e-05 5.2352872e-05 2.4880574e-05 2.0215466e-05 2.5917263e-05 0.0029747835 1.29586315e-05 4.4059347e-05 0.00012803129 0.003954456 7.153165e-05 4.820611e-05 3.6802514e-05 6.997661e-05 9.9522294e-05 4.4577693e-05 3.9394243e-05 7.153165e-05 1.3476977e-05 1.5550359e-05 1.5032013e-05 0.0016104988 2.2807191e-05 2.1252155e-05 0.00023481042 0.006517155 0.00023740214 0.0001363248 0.00013476977 0.00016898056 0.00015965034 0.0008485312 0.00040482768 0.00011973776 5.027949e-05 5.4426255e-05 6.2201434e-05 0.0034226337 9.174711e-05 0.00014098991 0.00018919603 0.015612042 0.0010201035 0.00030271366 0.0003239658 0.0005852118 0.00042193304 0.0015094214 0.0006536334 0.00020422804 0.00020215465 0.00012647625 0.00013839819 0.00013010466 8.552697e-05 9.019208e-05 0.00088688877 0.013707123 0.0014954262 0.0002415489 0.00019230609 0.0005007215 0.00037787372 0.0007832197 0.0004965748 0.00021200321 0.00018349422 0.0001694989 0.00012336618 0.0008609715 0.00020319135 0.0001202561 0.0015638476 0.011280748 0.0005841751 0.00060387223 0.003194562 0.029424388 0.013066447 0.028698185 0.012626372 0.00012232948 9.226546e-05 0.0001212928 0.00010366905 0.0002073381 0.00011921941 7.8788486e-05 0.0005256021 0.005219737 0.00029908522 0.00032137407 0.0011263643 0.004153501 0.0018012498 0.005032096 0.0023460307 0.00033847947 6.8939924e-05 5.287122e-05 8.500862e-05 0.0018313138 5.5462944e-05 0.00029804854 0.00032500247 0.017957553 0.00629323 0.002626974 0.0023745396 0.0022133344 0.00079047657 0.0021350642 0.0014575869 0.0006743672 0.00066089025 0.0006017989 0.0006909543 0.001763929 0.00065207836 0.000780628 0.00078943983 0.023519399 0.002948348 0.0021832704 0.014787354 0.003202337 0.0033879047 0.003688545 0.0029747835 0.006432665 0.0018131718 0.0021335091 0.0020303584 0.012676134 0.0022485817 0.0058438247 0.0046096444 0.03841923 0.0054275934 0.0026477077 0.004716942 0.0068825884 0.011066671 0.003660036 0.006662292 0.024505291 0.002289531 0.002618162 0.0033303683 0.044535708 0.0024730253 0.009288229 0.022559423 0.054297704 0.012139128 0.005423965 0.008569802 0.012650216 0.018524105 0.006438885 0.0132074375 0.036367103 0.0038513055 0.004239546 0.006922501 0.048812058 0.0052187 0.014160156 0.03474002 0.017782353 0.0053177043 0.0028135781 0.00432611 0.0056649954 0.0055763586 0.003059792 0.0055810236 0.01105475 0.0011045937 0.0014342613 0.0022014123 0.0061226944 0.0034340376 0.0056950594 0.010126393 0.00064274814 0.00026746615 0.00022133344 0.00040482768 0.00021666833 0.000187641 0.00022081508 0.00021718667 0.00023843882 0.00021355825 0.00019334278 0.00029545682 0.00020111796 0.00018453092 0.00020941149 0.00033174097 3996.0 28.871372 115370.0 0.007688307 0.00033804282 0.000624079 0.00045939154 0.0016295398 0.0004680593 0.0003207073 0.00061541126 0.0015775332 0.00033804282 0.00027736847 0.0004680593 0.001360839 0.0011528127 0.0018288983 0.00086677645 0.007913669 0.006821531 0.006041432 0.003900494 0.005113981 0.0029730434 0.0039958395 0.0038571553 0.00410852 0.003345757 0.003718471 0.0031550664 0.004706596 0.0034064315 0.003276415 0.024616452 0.09363786 0.028092224 0.013677732 0.029297045 0.024105053 0.021088671 0.003640461 0.007263587 0.00821704 0.026271995 0.0016815463 0.001984918 0.023767011 0.0051833233 0.006587501 0.0021929445 0.015610644 0.010097946 0.00507931 0.012932305 0.0072289156 0.026037965 0.007064228 0.007991679 0.0147351995 0.000589408 0.016642109 0.00043338822 0.0012828292 0.00045939154 0.000589408 0.011519459 0.0016295398 0.030155152 0.023480974 0.009863916 0.015671318 0.053298086 0.0029990466 0.009959262 0.008000347 0.06137644 0.0012048193 0.002314293 0.02043859 0.011224755 0.0273728 0.029366387 0.0072029126 0.00033804282 0.02687007 0.015341943 0.049432263 0.02741614 0.0031463986 0.004238537 0.0040305103 0.0037444744 0.0013001647 0.00021669411 0.0014041779 0.00026003295 0.00037271387 0.00038138163 5.5757065 0.0 16.0 0.0 2.0 965728.0 987136.0 1.0 1921.0 275.0 1.0 1.0 1.0 0.0 0.0 1528710300.0 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 10.0 0.0 5.0 1.0 5.0 1.0 630272.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 274944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -630272.0 -9216.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1707063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.258222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8498445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9108605 -4.7602262 5.137703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30466.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 274784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -630084.0 -9056.0 712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 2.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -2.0 2.0 -4.0 5.0 1.0 4.0 2.0 -3.0 3.0 1.0 4.0 -6.0 -2.0 -7.0 1.0 -3.0 1.0 1.0 -1.0 2.0 4.0 -2.0 -1.0 2.0 -7.0 0.0 -6.0 2.0 -1.0 -1.0 -5.0 0.0 -2.0 -7.0 -1.0 -1.0 3.0 4.0 -1.0 4.0 6.0 5.0 -2.0 4.0 1.0 6.0 1.0 0.0 -6.0 -2.0 5.0 -2.0 -1.0 3.0 6.0 6.0 -3.0 -3.0 -2.0 -3.0 1.0 -2.0 7.0 0.0 -4.0 4.0 -2.0 3.0 5.0 6.0 1.0 12.0 1.0 -6.0 -1.0 -5.0 -3.0 -5.0 -3.0 -5.0 -7.0 -2.0 -3.0 1.0 -1.0 2.0 0.0 0.0 2.0 0.0 -4.0 1.0 -1.0 -4.0 -4.0 -8.0 0.0 6.0 5.0 6.0 -3.0 -11.0 -1.0 1.0 -6.0 -4.0 -3.0 1.0 2.0 3.0 0.0 1.0 1.0 4.0 -2.0 1.0 -3.0 0.0 0.0 0.0 -5.0 -2.0 0.0 -5.0 0.0 9.0 2.0 130944.0 778720.0 180.0 937984.0 712.0 950272.0 0.0 0.0 6752.0 958976.0 26780.0 954368.0 28.0 638064.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 733264.0 0.0 0.0 1656.0 939820.0 0.0 0.0 0.0 0.0


Input: 0.72378284 0.0032731572 0.0015861199 0.0020545297 0.002492474 0.0010815319 0.0011158058 0.0010605868 0.0022468443 0.0011024771 0.0011710249 0.0007292724 0.0016737087 0.00092539523 0.0007102313 0.0014280791 0.0020259682 0.0008777926 0.0005864645 0.00075402576 0.0011653125 0.0011253263 0.000632163 0.0005921768 0.0013633395 0.00069690257 0.0009196829 0.00067786156 0.0009196829 0.0005997932 0.0009901348 0.00077306683 0.003071322 0.00065501226 0.0008359023 0.00084732694 0.0018698316 0.0008435187 0.00079782016 0.00065501226 0.0007426011 0.0004855469 0.00050839613 0.0006949985 0.000704519 0.0007083272 0.0010358334 0.00061693013 0.0010967647 0.0008682721 0.00090635417 0.0016127774 0.0010529703 0.0017974755 0.0007597381 0.0007502175 0.00084732694 0.0008758885 0.00078829966 0.0013385861 0.0009977513 0.0010872443 0.00079782016 0.0010986688 0.0013766682 0.0011329427 0.0009368199 0.0035701976 0.0013423944 0.0016394348 0.0009349158 0.0010415456 0.0011824495 0.0008758885 0.00062264246 0.0005978891 0.00086255977 0.0010567785 0.000794012 0.0007178477 0.002168776 0.001100573 0.0015575583 0.0013976134 0.0012605177 0.001172929 0.0021630637 0.0012357645 0.001064395 0.0016489553 0.0005750398 0.0014775859 0.00079210784 0.0014356954 0.00092920347 0.0010206006 0.0008796967 0.0020107355 0.0006588205 0.0012985999 0.0013271614 0.0029570758 0.000976806 0.00090635417 0.0014718735 0.0021192695 0.0013842847 0.0007445052 0.0015328049 0.0009349158 0.0016261061 0.0017746263 0.0011081893 0.0005921768 0.0024067892 0.0018165166 0.0033321846 0.0036387455 0.0010225046 0.0016394348 0.0011519837 0.0008739844 0.00061121787 0.00083018997 0.0012224357 0.00091397064 0.0006930944 0.00083209405 0.0016165855 0.0008416146 0.0005750398 0.0024105974 0.0011024771 0.0016089691 0.0005160126 0.00049697154 0.0010358334 0.0020107355 0.001066299 0.005234386 0.0010529703 0.0016641881 0.0004931633 0.00064929994 0.00073117646 0.00053695776 0.0004931633 0.00064739585 0.0008054366 0.00067786156 0.0007426011 0.00051220437 0.0005350536 0.00057313574 0.0015975444 0.00057313574 0.0008092448 0.0005331495 0.0004931633 0.0006188343 0.0007026149 0.00081495714 0.0004931633 0.00072356005 0.0008796967 0.0007330806 0.00079020375 0.0005579029 0.00078829966 0.00043794425 0.00046460173 0.0005179167 0.00078068324 0.0005007797 0.00047602635 0.00050268386 0.0006283548 0.0005103003 0.0005750398 0.0006016973 0.0005864645 0.0005502865 0.0005617111 0.00095776503 0.00071594364 0.0005274372 0.00088731316 0.00067214924 0.000794012 0.00052934134 0.00052934134 0.00089873775 0.0017974755 0.001083436 0.00068166974 0.0013747641 0.0010758196 0.000576944 0.0008435187 0.00096728554 0.00085684744 0.0014299832 0.00046650582 0.0005331495 0.0016489553 0.0009958472 0.00052172487 0.000487451 0.0010586827 0.0016051609 0.0006188343 0.0006949985 0.0006416835 0.0005255331 0.00086255977 0.00056361523 0.00085494336 0.00058265624 0.00047221815 0.00060740963 0.00065501226 0.00054647826 0.00057123165 0.0005502865 0.0010567785 0.00060740963 0.0005693275 0.0012947917 0.0010377375 0.0009825184 0.0005674234 0.0005997932 0.0027552405 0.00088731316 0.0005331495 0.0011234222 0.0016089691 0.000576944 0.00054838235 0.0006093137 0.0010929565 0.0005693275 0.00046840994 0.00083018997 0.0014909146 0.00054267 0.0016527636 0.0007502175 0.001336682 0.0012795589 0.00057884806 0.0006359712 0.0013576272 0.00068357383 0.0012662301 0.011550304 0.6164383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018766817 9.555406e-06 9.555406e-06 1.9110812e-06 1.0510947e-05 9.555406e-07 1.4333109e-05 1.1466487e-05 1.9110812e-06 1.9110812e-06 1.9110812e-06 1.9110812e-06 5.7332436e-06 2.8666218e-06 2.8666218e-06 2.8666218e-06 0.0036224544 3.8221624e-05 2.0066353e-05 1.719973e-05 4.0132705e-05 1.4333109e-05 3.5355002e-05 1.8155271e-05 5.5421355e-05 6.688784e-06 2.8666218e-06 7.644325e-06 7.644325e-06 2.8666218e-06 4.777703e-06 2.0066353e-05 0.006908559 8.886528e-05 6.5932305e-05 5.2554733e-05 0.00014428663 3.439946e-05 0.00010606501 9.459852e-05 0.00011657595 3.153284e-05 1.9110812e-05 2.8666218e-05 2.3888515e-05 1.9110812e-05 2.7710677e-05 6.5932305e-05 0.0016463965 2.7710677e-05 1.719973e-05 4.3954868e-05 2.4844056e-05 1.8155271e-05 3.439946e-05 1.0510947e-05 7.644325e-06 5.7332436e-06 1.1466487e-05 1.2422028e-05 9.555406e-06 8.599865e-06 7.166555e-05 6.688784e-06 0.0015852419 1.3377568e-05 4.777703e-06 2.1021893e-05 3.248838e-05 6.688784e-05 2.1977434e-05 1.528865e-05 7.930987e-05 1.9110812e-05 5.7332436e-06 3.8221624e-06 1.8155271e-05 1.2422028e-05 1.1466487e-05 4.586595e-05 0.005909063 0.00016435298 0.00015193096 5.1599192e-05 0.00032392825 0.00019588582 0.00029048434 0.00016817515 9.077636e-05 5.9243517e-05 8.026541e-05 4.873257e-05 4.873257e-05 7.2621086e-05 3.7266083e-05 0.00013473122 0.016846182 0.0005150364 0.0013798006 0.0006927669 0.00045483734 0.00031150624 0.0025694487 0.001470577 0.0003975049 6.5932305e-05 8.217649e-05 0.000113709335 0.0002331519 4.968811e-05 0.00034399462 0.0038278957 0.0065693418 0.00013377568 0.0004280822 0.000176775 0.0006449899 0.00042521558 0.0008284537 0.00069085584 0.00035832773 2.3888515e-05 3.439946e-05 0.00012135366 7.453217e-05 5.2554733e-05 0.00022646312 0.00095267396 0.0036845645 8.1220955e-05 0.00058001315 0.0006172792 0.0007271664 0.00039846043 0.0022913865 0.0011284935 2.9621759e-05 3.248838e-05 3.9177165e-05 3.9177165e-05 3.9177165e-05 3.248838e-05 3.5355002e-05 2.8666218e-05 0.0051159644 0.00013568677 0.00082463154 0.00022455204 0.0009918512 0.00061059045 0.0029115323 0.0015737754 0.00017008623 9.077636e-05 0.00010033177 0.00013759785 0.00011657595 0.000111798254 0.00021595218 0.0003669276 0.045606997 0.002797823 0.0026898468 0.0050328323 0.002884777 0.0029698203 0.003202972 0.003396947 0.002843689 0.0024901389 0.002550338 0.0027672455 0.0024222955 0.0025111607 0.0029124878 0.0029401984 0.003916761 0.00032870597 0.0005265029 0.00029335095 0.00045005963 0.0004328599 0.0005933907 0.0005742799 0.00064976764 0.0002073523 0.00017773056 0.00021499663 0.0003669276 0.00021595218 0.00027615123 0.0005599468 0.0085683325 0.001528865 0.0014600661 0.0013587788 0.0029344652 0.0038059182 0.001765839 0.0029440206 0.0048866346 0.0013377569 0.0005121698 0.0005809687 0.0029440206 0.0011237158 0.0016148636 0.003729475 0.012041722 0.0028876436 0.002071612 0.002580915 0.0038785394 0.005520158 0.0021470997 0.0047270595 0.0072601973 0.0016091304 0.001268958 0.0012594025 0.0042483336 0.0018298603 0.0036243654 0.0076242583 0.0060437946 0.0059233964 0.004810191 0.0055086915 0.0051446306 0.006227258 0.005794398 0.0058641527 0.0054714256 0.0048914123 0.005274584 0.0051694745 0.0047910805 0.005351983 0.0059644845 0.0058316644 814.0 13.563882 11041.0 0.039942034 0.0017208586 0.0046191467 0.0017208586 0.005887148 0.0013585726 0.0014491441 0.0052531473 0.0029888598 0.0011774296 0.0022642876 0.0019020017 0.0031700027 0.0051625757 0.007698578 0.0038945747 0.011049724 0.008513722 0.010415724 0.008966579 0.007879721 0.007698578 0.0074268635 0.0047097183 0.0068834345 0.0066117197 0.0067022913 0.005706005 0.0068834345 0.008060864 0.0067022913 0.0059777196 0.0040757176 0.015578299 0.0040757176 0.009781723 0.017118014 0.005615433 0.0072457204 0.012770582 0.005072004 0.011593153 0.0018114301 0.0033511457 0.0059777196 0.0061588623 0.009328865 0.004256861 0.016936872 0.0036228602 0.0084231505 0.013585726 0.007970292 0.0038945747 0.009328865 0.010144008 0.009147722 0.0023548591 0.0018114301 0.0029888598 0.004166289 0.0030794311 0.0027171453 0.005887148 0.006068291 0.03477946 0.0061588623 0.027262023 0.01920116 0.07372521 0.008332578 0.010506295 0.010778009 0.034507744 0.004256861 0.0032605743 0.030522598 0.013223439 0.03260574 0.038492892 0.01503487 0.0029888598 0.04329318 0.027443167 0.054433476 0.01802373 0.009419437 0.0043474324 0.0076080067 0.009691151 0.0031700027 0.0018114301 0.0022642876 0.001992573 0.0017208586 0.0028077166 5.9240417 0.0 1.0 0.0 5.0 525181.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 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 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 -1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.5061871 0.004494769 0.0026738897 0.0022429063 0.0035110938 0.001919405 0.0018920075 0.0018962225 0.004644402 0.0015500657 0.0015442701 0.0015663989 0.0034357507 0.0015642914 0.0013709284 0.0036986612 0.0033540851 0.0016622901 0.0012687145 0.001317714 0.0022861098 0.0016549139 0.0014088633 0.0012808327 0.0018841045 0.0013872614 0.0012197152 0.0013314127 0.0018293094 0.0011896833 0.0012529084 0.0013235096 0.0022081325 0.001258704 0.0013245633 0.001312972 0.002155445 0.0012961121 0.001212339 0.001212339 0.0015221414 0.0011733503 0.0011686084 0.0016759889 0.001426777 0.0017197195 0.0012908434 0.0012044358 0.0020442742 0.001586947 0.001557442 0.0028551347 0.0016185595 0.0015648182 0.0014884213 0.0014799914 0.0018603951 0.0017982238 0.0016975907 0.0023719906 0.0017919013 0.001713397 0.0014188739 0.0021306819 0.00247157 0.001717085 0.0018967494 0.0017323644 0.0016401614 0.007911026 0.0035664157 0.002260293 0.0016780964 0.0012982195 0.0014494327 0.0012270915 0.0015858932 0.0057255486 0.0013530146 0.0012486933 0.0037776926 0.0022576586 0.0016854726 0.001759762 0.0015463777 0.0041681067 0.002179681 0.0020089736 0.001485787 0.0020927468 0.0011728234 0.0014041214 0.0023156148 0.0024009687 0.0016949563 0.0017155044 0.001426777 0.0017576545 0.0012913703 0.0014410027 0.001969458 0.0022270998 0.002163348 0.0012508008 0.0019578668 0.0016470107 0.0024009687 0.0012971659 0.0018345781 0.0013456383 0.0016449032 0.0017076014 0.0016744082 0.0011965327 0.0020658763 0.0019684043 0.003964206 0.0044905543 0.0014678732 0.0013999065 0.0015463777 0.0013266709 0.001208124 0.0012255108 0.0014257233 0.0019552326 0.0013667133 0.0014120246 0.0020105543 0.0014346802 0.0012276183 0.005547992 0.0019936943 0.0037624133 0.0011928446 0.0011691352 0.0017755682 0.0063925725 0.0016528063 0.014883161 0.0014093901 0.005257684 0.0011306733 0.0011143403 0.0017213001 0.001178619 0.001165974 0.0012149734 0.001355649 0.0016696664 0.0011501678 0.0011275122 0.0013229827 0.0011522752 0.0011343615 0.0011707159 0.0014004332 0.0012629189 0.0011422646 0.0012281452 0.0014994858 0.0014957977 0.0012091778 0.0012550158 0.0013208752 0.0012239303 0.0011459527 0.0011132865 0.0014278308 0.0011612321 0.0011264584 0.0011543827 0.0013340471 0.0011296197 0.0011817802 0.0011770384 0.0015158189 0.0011043296 0.0011211897 0.0010858891 0.0013877883 0.0012897896 0.0017413213 0.0013883152 0.0018056 0.0012760909 0.0011981133 0.0011348884 0.0015079158 0.0013946376 0.0013656595 0.0013656595 0.0034657826 0.0020642956 0.0019499637 0.0024009687 0.0024346886 0.0013298321 0.0021248863 0.0026828467 0.0019473294 0.0018013851 0.0012887359 0.0014120246 0.005935245 0.001279779 0.001485787 0.0013867345 0.0018366857 0.0013229827 0.0014288846 0.0012534353 0.001515292 0.0011338346 0.0013103377 0.0011728234 0.001983157 0.0012961121 0.0011949522 0.0013414234 0.0016396345 0.0013124452 0.0011917909 0.0012381559 0.0020015975 0.0012529084 0.0012160271 0.0011622859 0.0018056 0.0015721945 0.0011960058 0.0012339408 0.0068830927 0.0020469087 0.0012534353 0.0026301593 0.0033140427 0.0011564903 0.0011917909 0.0012476397 0.0028440703 0.0013277245 0.0013140258 0.0012992733 0.0021327892 0.0011538559 0.0018461694 0.0015500657 0.0026696748 0.001540582 0.0013983258 0.0013688208 0.0036897045 0.0018440619 0.0027850603 0.01744746 0.4611231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010306109 1.3182539e-05 1.0546031e-06 7.9095236e-07 5.009365e-06 2.1092062e-06 2.3728571e-06 1.1336983e-05 1.5819047e-06 1.3182539e-06 1.3182539e-06 1.5819047e-06 1.5819047e-06 5.2730155e-07 7.9095236e-07 4.7457143e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043185998 1.4764444e-05 2.0564761e-05 0.0 1.1073333e-05 1.4237142e-05 1.2391587e-05 8.964126e-06 2.9001585e-06 5.800317e-06 1.5819047e-06 2.1092062e-06 4.7457143e-06 0.0 2.6365078e-07 8.7004755e-06 0.0036636912 7.619508e-05 0.0001386803 3.4538254e-05 0.0003438006 6.4330794e-05 0.00029581616 0.00012576142 1.661e-05 7.8304285e-05 2.4783174e-05 1.6082698e-05 1.5291746e-05 1.661e-05 2.8210634e-05 0.00046086157 0.005695384 0.00017638237 0.00022410316 8.674111e-05 0.0005644763 0.00016372713 0.00027577873 0.00018561014 4.271143e-05 0.00011917015 9.992364e-05 5.114825e-05 4.7457143e-05 7.619508e-05 0.00013709841 0.00069340155 0.0048066173 0.00020960237 0.00035751046 7.751333e-05 0.00063724397 0.00026866014 0.0010548668 0.00057396776 4.5347933e-05 6.485809e-05 0.000102823804 6.723095e-05 3.401095e-05 6.090333e-05 3.7965714e-05 0.00024018587 0.00392286 0.00017400952 0.0003659473 0.00019826539 0.0010221741 0.00035012825 0.0016180249 0.00083603663 8.120444e-05 0.00012233396 0.00011020603 6.74946e-05 4.9566348e-05 7.2767616e-05 6.222158e-05 0.00012602507 0.0026177887 0.0001178519 0.0002881703 0.00021171158 0.0005895232 0.00033879126 0.00075140473 0.0005547212 0.00014527158 9.069587e-05 8.6477456e-05 9.069587e-05 0.00027340587 5.5893965e-05 0.00012866159 0.00013841667 0.0027137576 0.00054654805 0.00053389283 0.0048807035 0.0009045858 0.0004724622 0.00089061237 0.00066809106 0.00038176632 0.0003219176 0.00033879126 0.0003551376 0.00048775395 0.00032745427 0.0003535557 0.0004018038 0.0052126395 0.0005940052 0.00051622826 0.0007954344 0.0026818558 0.0017108299 0.0007701239 0.00071739376 0.0055464217 0.00050436397 0.00033773665 0.0005204466 0.0021007694 0.0005797681 0.0016551996 0.0049144505 0.021461701 0.003520529 0.0021709006 0.0028972584 0.009506457 0.00732501 0.0025966966 0.0042337044 0.017862868 0.0013738843 0.0011980291 0.002140317 0.009734514 0.002171955 0.0071256896 0.013211804 0.014464673 0.0036183433 0.001965253 0.0029049043 0.0057383594 0.0062514236 0.0023609928 0.005081078 0.011183803 0.0010891414 0.0010437934 0.0016871013 0.0056176074 0.0020533123 0.0049869544 0.00932691 0.017046342 0.01659128 0.016578624 0.016753161 0.01676819 0.01671256 0.016734706 0.016709132 0.016673539 0.016634256 0.016610527 0.01669015 0.016639529 0.016764235 0.01666273 0.01670966 3849.0 9.223695 35502.0 0.023153625 0.0049011325 0.00481663 0.0050419695 0.0130696865 0.0051828064 0.0047039604 0.0062250015 0.0076897074 0.0049856347 0.00394344 0.0060278294 0.0068165176 0.0077460427 0.009267083 0.0049574673 0.0160836 0.012731677 0.012957017 0.011295138 0.012675342 0.012168328 0.011576813 0.010365613 0.013942877 0.013633035 0.015210411 0.011745817 0.015379415 0.010365613 0.009548758 0.017660977 0.027294237 0.00952059 0.005070137 0.007239029 0.008365726 0.0067038476 0.0067601823 0.0063658385 0.006647513 0.005520816 0.004619458 0.0048447973 0.007577038 0.006196834 0.0055489833 0.0053799786 0.013013352 0.0055489833 0.0069573545 0.009267083 0.0087600695 0.0067038476 0.011379641 0.009379753 0.0073798657 0.005408146 0.0049574673 0.0047884625 0.00678835 0.0051264716 0.0056898203 0.013379528 0.007830544 0.024533829 0.0106754545 0.01585826 0.019491859 0.036166977 0.009689595 0.008591065 0.010590953 0.02059039 0.006844685 0.005830657 0.017379303 0.010957129 0.019407358 0.026252043 0.012252831 0.0043659513 0.025745029 0.021942426 0.036251478 0.012450003 0.007577038 0.0060559968 0.00963326 0.008591065 0.004760295 0.0046476256 0.0068165176 0.003999775 0.0052391416 0.0049293 6.343287 0.0 0.0 0.0 17.0 1897984.0 1912832.0 1.0 0.0 82.0 1.0 1.0 0.0 1.0 0.0 1541505500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 392704.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1470976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392704.0 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 -6.57779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9453592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.803763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.50142 0.0 4.380197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1470620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392696.0 0.0 1664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1866040.0 1664.0 1888256.0 0.0 0.0 0.0 0.0 18516.0 1892352.0 28.0 458112.0 0.0 0.0 0.0 0.0 24.0 458304.0 64.0 458144.0 0.0 0.0 332.0 397312.0 0.0 0.0 0.0 0.0