Input: 0.66781896 0.003816794 0.0025254835 0.0031082872 0.0031597111 0.0014170134 0.0016398501 0.0014170134 0.005050967 0.0009199159 0.0007313617 0.00087991956 0.0036168122 0.00080564065 0.00064565527 0.008342095 0.0024226357 0.001279883 0.0010799012 0.0012456004 0.0015541436 0.0012170316 0.00067422405 0.00035425334 0.0014055858 0.00041139097 0.00029711568 0.0006399415 0.0008113544 0.00039424966 0.000314257 0.00053138 0.0013598757 0.00038282215 0.00033139827 0.0005770901 0.0016455639 0.00027426064 0.00019998172 0.0002799744 0.00046281482 0.0003085432 0.00021140925 0.0016512776 0.00032568452 0.00025711936 0.00021140925 0.00019998172 0.00080564065 0.00032568452 0.0002628331 0.0041367644 0.0006685103 0.00082849566 0.00025711936 0.00022855053 0.0008113544 0.0011141838 0.00035425334 0.0021198061 0.00106276 0.0006685103 0.0006056589 0.00024569183 0.0026854686 0.0043481737 0.0034339717 0.0004228185 0.001257028 0.0052052382 0.0019826759 0.0009941948 0.0010227637 0.00041710472 0.0002799744 0.00024569183 0.00058280386 0.0022169403 0.0007942131 0.00028568818 0.004079627 0.0018398318 0.000217123 0.0017884079 0.00047424235 0.0019769622 0.003382548 0.0021083786 0.00043995978 0.0057080495 0.00015998537 0.00075421674 0.0006056589 0.0014112996 0.0013255931 0.001182749 0.00059423136 0.00020569548 0.00029140193 0.00033139827 0.0007599305 0.00043995978 0.000845637 0.00017712667 0.0026854686 0.00014284409 0.0019941034 0.00018855419 0.0005256662 0.00019426795 0.00025140558 0.00022283677 0.0013313069 0.00018855419 0.000748503 0.0005656626 0.0074221785 0.0069422224 0.00057137635 0.00030282946 0.000434246 0.00021140925 9.142021e-05 0.0002342643 0.0006399415 0.0014398684 0.00072564796 0.000434246 0.0025369108 0.00090848835 0.00027426064 0.007839283 0.0020340998 0.008742058 0.00025140558 0.00037710837 0.0012913105 0.0058051837 0.0010913288 0.013341637 0.00050852494 0.0046681445 0.000434246 0.00033139827 0.0007599305 0.00032568452 0.00014855784 0.0001714129 0.0004056772 0.0005428075 0.00011998903 0.00014284409 0.00041710472 0.00018284042 6.2851395e-05 0.00013141656 0.00036568084 0.0004970974 6.2851395e-05 0.000942771 0.00041139097 0.00066279655 0.00015998537 0.0005370937 0.000434246 0.00032568452 6.856516e-05 8.570645e-05 0.00031997074 0.00018284042 6.856516e-05 0.00013713032 0.00030282946 0.00013713032 7.427892e-05 7.427892e-05 0.00055423507 0.00014284409 0.00010284774 7.427892e-05 0.00025711936 0.00059423136 0.003091146 0.0004056772 0.0006399415 0.00021140925 0.00018284042 0.0001542716 0.00032568452 0.00091420213 0.0005142387 0.0002628331 0.004993829 0.002388353 0.0012113178 0.0031654248 0.0018626868 0.00030282946 0.0012913105 0.0022512227 0.0010456187 0.0011198976 0.00033139827 0.00033711203 0.0011141838 0.000217123 0.0001714129 0.00037139462 0.0006399415 0.00051995245 0.0012741692 0.00072564796 0.0003599671 0.00011998903 0.00032568452 0.00017712667 0.0012913105 0.00022283677 0.0002628331 0.0008570645 0.00059994514 9.7133976e-05 0.000114275266 0.00012570279 0.0014055858 0.0004056772 0.00039424966 0.00025140558 0.0010513325 0.0001714129 0.000314257 0.000217123 0.009450564 0.0016284225 0.00027426064 0.0031482836 0.0016969877 0.00014284409 0.00028568818 0.00033711203 0.0018055493 0.0004228185 0.0011941765 0.0007199342 0.0010456187 0.00031997074 0.0030340084 0.0010170499 0.003211135 0.000771358 0.0005428075 0.0008113544 0.0028225991 0.0021598025 0.0037025185 0.027763177 0.6213018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035624306 0.00014735115 0.00011268029 0.00017335429 0.00023980677 0.00026869914 8.6677144e-05 0.00015312963 0.0003929364 1.733543e-05 3.467086e-05 7.2230956e-05 0.00019935744 2.6003143e-05 0.00015024039 0.0002802561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028690135 0.00030914848 0.0001357942 0.00020224667 0.00034381935 0.00029181305 0.00023691753 0.00026003143 0.00039582563 6.356324e-05 8.6677144e-05 5.2006286e-05 0.00018780048 3.467086e-05 0.0002051359 0.00024269601 0.005189072 0.00056340144 0.00048539203 0.0006963064 0.0009014423 0.0011441383 0.0008349898 0.0014128374 0.0049694898 0.00034381935 0.00019068972 0.0010227903 0.0011903661 0.00045361038 0.0012943787 0.008893075 0.034506172 0.0063389884 0.0038397976 0.0059027136 0.010918431 0.010398368 0.0036664433 0.010233682 0.022319365 0.002377843 0.0016179733 0.004339636 0.009863859 0.0031117096 0.008942192 0.021386141 0.03583233 0.0073588896 0.004148946 0.0076218103 0.014009916 0.015642336 0.0049926033 0.010381033 0.022885656 0.0024934125 0.0020918085 0.0030163648 0.010970437 0.0041633924 0.010799972 0.021105886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 106.0 5.9150944 627.0 0.019138755 0.004784689 0.0063795852 0.0015948963 0.014354067 0.0015948963 0.0015948963 0.0015948963 0.004784689 0.007974481 0.0031897926 0.0031897926 0.004784689 0.004784689 0.011164274 0.0015948963 0.009569378 0.011164274 0.0015948963 0.007974481 0.0 0.004784689 0.0 0.0 0.0031897926 0.023923445 0.0015948963 0.015948962 0.022328548 0.007974481 0.0063795852 0.004784689 0.019138755 0.007974481 0.0127591705 0.0031897926 0.0063795852 0.0031897926 0.020733653 0.0015948963 0.022328548 0.0031897926 0.0 0.0015948963 0.0 0.0063795852 0.007974481 0.0015948963 0.08931419 0.025518341 0.0063795852 0.041467305 0.007974481 0.011164274 0.043062203 0.043062203 0.0015948963 0.022328548 0.0 0.009569378 0.011164274 0.011164274 0.0127591705 0.011164274 0.011164274 0.011164274 0.0015948963 0.007974481 0.004784689 0.007974481 0.011164274 0.0015948963 0.030303031 0.004784689 0.022328548 0.0 0.0015948963 0.0031897926 0.007974481 0.0063795852 0.007974481 0.0015948963 0.023923445 0.007974481 0.07177033 0.036682617 0.0031897926 0.0031897926 0.0031897926 0.0 0.0 0.0 0.0063795852 0.004784689 0.0063795852 0.009569378 5.7001715 0.0 0.0 0.0 3.0 175016.0 192512.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1387423200.0 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 10.0 0.0 5.0 1.0 5.0 1.0 93696.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29696.0 0.0 0.0 0.0 0.0 0.0 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 -93696.0 0.0 33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2103505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5986.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29190.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93448.0 0.0 32964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 125036.0 32964.0 147456.0 0.0 0.0 6568.0 168448.0 4352.0 184320.0 28.0 98784.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 123464.0 0.0 0.0 420.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.037176963 0.009336755 0.006490697 0.008497358 0.010131256 0.0060852836 0.006090726 0.0069573307 0.009268732 0.0054404316 0.004384724 0.0049969256 0.008410289 0.0051180054 0.005323433 0.009218396 0.007838901 0.0051520164 0.0029861834 0.0045506987 0.005454036 0.004108553 0.0029725789 0.00403917 0.005395537 0.003711302 0.0026106997 0.0039670663 0.0050282157 0.004118076 0.0028079646 0.0041833776 0.006851216 0.004357515 0.003534444 0.0037317087 0.0043044575 0.0027644304 0.0031439953 0.0029004752 0.0035983848 0.0030242759 0.0028637429 0.004241877 0.0035249207 0.0028161274 0.003194332 0.0032882027 0.006326083 0.003617431 0.0030392408 0.0059846104 0.0027766742 0.0026882451 0.0023998301 0.0035616527 0.0042309933 0.0037099416 0.0028936728 0.006149225 0.0032092968 0.003124949 0.002262425 0.0039643454 0.0049302634 0.005142493 0.0029195214 0.004709871 0.003957543 0.008234791 0.0039493805 0.0046894643 0.0037725223 0.0029657765 0.0016978391 0.0024909803 0.0035738968 0.005503012 0.0029984273 0.0035902222 0.005481245 0.0043806424 0.0024283996 0.0044228164 0.0029712184 0.0044268975 0.003689535 0.0047602076 0.0031698437 0.0032487498 0.0014556793 0.0022977965 0.0031358325 0.004058216 0.0028283712 0.003930334 0.0040949485 0.0047819745 0.0027916392 0.0035766177 0.0033535042 0.0044200956 0.0037861266 0.003164402 0.0031535183 0.0033521438 0.0043806424 0.002405272 0.0032773193 0.0023685398 0.0028678244 0.0042350744 0.0047642887 0.002371261 0.0042296327 0.0046336856 0.0077123796 0.008237513 0.0029657765 0.0051819463 0.0036582446 0.002289634 0.002252902 0.0029249631 0.0028256504 0.0038242193 0.0027603488 0.0049806 0.005290782 0.0046935454 0.003905846 0.008950387 0.004592872 0.005032297 0.003750755 0.0033031676 0.0042622834 0.0093503585 0.0034813865 0.016907647 0.002836534 0.007859308 0.0026093393 0.0030133922 0.0027004892 0.0023998301 0.0017100831 0.0022801107 0.0017889891 0.0019848936 0.0015209808 0.0018284421 0.002757628 0.0028025229 0.0017250481 0.0025100266 0.0023494936 0.0022365765 0.001764501 0.0027739534 0.003164402 0.0023467727 0.0025181891 0.0023059594 0.002080125 0.0015141786 0.0024923407 0.0021427055 0.0028487782 0.0021359033 0.0024379229 0.0021182175 0.0025005033 0.0015100973 0.0024923407 0.0023250056 0.0035847805 0.0026637572 0.0017400129 0.002417516 0.0015781197 0.0020692414 0.0015617943 0.002262425 0.0030025088 0.0027929996 0.001976731 0.0034541774 0.0024610504 0.0026311064 0.002089648 0.003933055 0.006796798 0.0058567286 0.003696337 0.0047697304 0.0032841214 0.0027780347 0.0030419617 0.0050486224 0.003112705 0.0028746265 0.0020610786 0.0024433646 0.0028651033 0.0018461279 0.0023086802 0.002851499 0.0030419617 0.0029018356 0.0017073622 0.0023372497 0.0023222847 0.0021522287 0.0014502376 0.0023835048 0.0034568983 0.0025372354 0.0013223555 0.00248962 0.0029168006 0.0029412885 0.0023590168 0.00373579 0.004931624 0.0034337707 0.0025277124 0.0024624108 0.0024909803 0.0017277689 0.0014978532 0.0021658333 0.0038228587 0.0023399706 0.0021603913 0.004864962 0.004192901 0.0020066607 0.003474584 0.0058458447 0.0056254524 0.0034514565 0.0013291576 0.0018719764 0.0033018072 0.0025249915 0.0030351593 0.004206505 0.0051248074 0.0023794235 0.002644711 0.0031575998 0.003908567 0.0032446685 0.0039072065 0.02915848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002255914 0.00010365747 3.1370026e-05 2.318654e-05 3.477981e-05 3.5461766e-05 4.159938e-05 2.5914367e-05 7.842506e-05 2.1140668e-05 2.1822625e-05 2.1140668e-05 2.5232412e-05 2.0458712e-05 2.6596324e-05 2.6596324e-05 0.005285167 0.0005701161 0.00011320487 0.00011047704 0.00011797857 6.546788e-05 8.319876e-05 7.228745e-05 5.9330265e-05 6.955962e-05 6.137614e-05 7.160549e-05 7.569723e-05 6.6149834e-05 8.25168e-05 7.910702e-05 0.0009942934 0.00010229356 2.2504582e-05 1.9094798e-05 1.841284e-05 1.50030555e-05 1.2957184e-05 2.6596324e-05 4.0235467e-05 2.2504582e-05 7.5015278e-06 6.1376136e-06 1.3639141e-05 1.2957184e-05 1.3639141e-05 6.887766e-05 0.00035325377 3.4097852e-06 2.0458713e-06 1.3639141e-06 6.8195703e-07 6.8195703e-07 6.8195703e-07 0.00017594492 1.7048926e-05 0.00020117733 0.0 0.0 4.0917424e-05 0.0 0.0 0.00059944025 0.002605076 0.00010365747 0.000114568786 0.00010774921 5.592048e-05 4.159938e-05 0.00024823236 0.0003443883 7.433332e-05 0.00029460544 2.2504582e-05 2.4550454e-05 0.00021822625 3.068807e-05 0.00014321099 0.0011572811 0.0028785407 0.00048146167 0.000587165 0.0002891498 7.365136e-05 7.978897e-05 0.00047259624 0.00046918646 0.00012275227 0.0001398012 0.00036825682 0.00071196316 0.0006812751 0.00018140058 0.0019394859 0.0030933572 0.0024529996 0.00036552898 0.00051487755 0.00044395405 0.0001970856 0.0001684434 0.0005687522 0.00034984396 0.0003252935 0.00021890822 0.0005530672 0.0003477981 0.00031165438 0.00021345256 0.0009335992 0.0018112779 0.002985608 0.00035666354 0.00042826904 0.0005912568 0.00031029046 0.00025846172 0.00047396016 0.00037575833 0.00056125066 0.00030074306 0.0007099173 0.0010277092 0.0005639785 0.00024414062 0.0010672628 0.0023145622 0.006462907 0.0027073694 0.0020731494 0.0015650914 0.001144324 0.0009608775 0.0019578987 0.0013223147 0.0010072505 0.00068945857 0.00061989896 0.0006301283 0.00054011 0.0004685045 0.0005571589 0.0024332227 0.0046632225 0.001493486 0.0015555441 0.0018296908 0.0012623025 0.0010256635 0.003016978 0.0018978865 0.0010427124 0.0005653424 0.0006158072 0.0005967124 0.00063149224 0.00053874607 0.00061853504 0.0009922475 0.11179527 0.06274892 0.052780066 0.05485049 0.061723933 0.053824823 0.048863586 0.06051346 0.086701974 0.032669153 0.034001697 0.03684205 0.052646402 0.038360767 0.044652503 0.066466264 4051.0 7.8889165 31958.0 0.026972901 0.0074785654 0.0091369925 0.006164341 0.00847988 0.00788535 0.005413355 0.0052568996 0.008166969 0.0073221102 0.0056323926 0.00847988 0.008041805 0.008917955 0.014018399 0.012047062 0.020307904 0.012766756 0.011577696 0.01520746 0.008073096 0.0070091994 0.0056949747 0.00672758 0.010200889 0.009418612 0.008667626 0.009199575 0.008354716 0.006915326 0.0051004444 0.006320796 0.0077914763 0.013799362 0.006352087 0.015363915 0.011296076 0.010889292 0.0070091994 0.009731523 0.008260842 0.010169597 0.0049752803 0.005444646 0.009512485 0.0077601853 0.007071782 0.008792791 0.010451217 0.008104387 0.008354716 0.013799362 0.0083234245 0.0075411475 0.008229551 0.010513799 0.006602416 0.006602416 0.0046623694 0.003973966 0.0057575568 0.0047562425 0.004036548 0.009856687 0.008698917 0.021184053 0.00847988 0.020433068 0.018054947 0.031228488 0.009637649 0.014268728 0.011202203 0.0262845 0.00907441 0.0075098565 0.016834596 0.0115151135 0.015332624 0.021496965 0.015989736 0.0048188246 0.023499593 0.021590838 0.03157269 0.01695976 0.0075098565 0.01699105 0.0074472744 0.006821453 0.0048188246 0.0041930033 0.0050378623 0.0043181675 0.0036610551 0.006790162 6.38736 0.0 45.0 0.0 3.0 735052.0 1437696.0 0.0 0.0 17.0 1.0 1.0 1.0 1.0 0.0 1468894600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 675840.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -675328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.792902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5937705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -675840.0 0.0 0.0 0.0 0.0 0.0 712704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82.0 922848.0 1008.0 1432900.0 40260.0 1392640.0 0.0 0.0 17224.0 717824.0 28.0 1433908.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1391772.0 72.0 1391808.0 0.0 0.0 0.0 0.0 96.0 922428.0 0.0 0.0


Input: 0.010878418 0.0055924696 0.0042577325 0.00411198 0.0048407414 0.0043849344 0.0035484047 0.0034662534 0.004649055 0.0064678667 0.0038725932 0.0042957165 0.0039194105 0.0033752688 0.0036296726 0.0037851417 0.005020944 0.0038814265 0.004984727 0.004097847 0.004494469 0.0031614988 0.004584571 0.003859343 0.00409343 0.0033576018 0.0033823356 0.0029733458 0.0036544064 0.0028426105 0.0034689035 0.0040439623 0.004256849 0.0056074867 0.0037869085 0.0033152013 0.00409343 0.0052170474 0.0033690853 0.004432635 0.004650822 0.006110994 0.0037621746 0.0045554205 0.0042480156 0.005045678 0.0036093558 0.0045377533 0.0044158516 0.005511202 0.0040943134 0.0037869085 0.0036773735 0.00344682 0.003157082 0.0031120314 0.0038708264 0.003625256 0.0037082906 0.0038231257 0.0035422214 0.0030024964 0.003740091 0.0035908055 0.0044255685 0.0034132528 0.004180881 0.0034485864 0.0041976646 0.0040545627 0.0036217226 0.0034123694 0.004140247 0.003925594 0.0044211517 0.004430868 0.0038142921 0.0032100829 0.0043178 0.0038681764 0.004419385 0.0043593175 0.0044229184 0.003696807 0.0036976903 0.0038134088 0.003967111 0.004060746 0.003998912 0.0038001586 0.00429395 0.004149964 0.0036287894 0.003645573 0.004294833 0.0045669037 0.0035810885 0.003543988 0.0038611095 0.0030996646 0.0040987297 0.003972411 0.0035969887 0.0030581472 0.0037966252 0.0037241909 0.003416786 0.003622606 0.0034494698 0.0028434938 0.003304601 0.0032480669 0.0036923904 0.0034379864 0.0036720734 0.003062564 0.004154381 0.0039317776 0.003388519 0.0035908055 0.0034715536 0.0036181891 0.0032109662 0.003317851 0.0040845964 0.003556355 0.0038354925 0.0036870902 0.004364617 0.0034035358 0.0034485864 0.0030872975 0.004493586 0.0038195923 0.0031023147 0.0032560169 0.003982128 0.0054670344 0.0038761266 0.0049705934 0.0035925722 0.0035510547 0.0031623822 0.0032622004 0.0040139286 0.0035678383 0.003993612 0.0036499896 0.00409608 0.0045995875 0.004192365 0.0041773478 0.0037895585 0.003717124 0.003317851 0.0029000281 0.0037745417 0.004009512 0.0031871158 0.0035263211 0.003752458 0.0033461184 0.0038425594 0.0032012495 0.0038337258 0.0038284257 0.0033090177 0.0035651883 0.0036323227 0.003284284 0.003506004 0.0034309197 0.003829309 0.0032524834 0.0033584852 0.0038840766 0.0038990935 0.003633206 0.0040236455 0.0031712155 0.0036385062 0.0036720734 0.0033496516 0.0035360379 0.0041632145 0.0037851417 0.003944144 0.0038964434 0.0037109407 0.0035925722 0.0041835313 0.004688806 0.0040236455 0.0039397273 0.004577504 0.003948561 0.004151731 0.0038284257 0.004254199 0.004043079 0.004178231 0.00453687 0.0043920013 0.004543937 0.0034812703 0.0030607972 0.0040042116 0.0035501714 0.0039980286 0.003752458 0.0040289457 0.0037294908 0.0036102391 0.0032569002 0.0038717098 0.0038884934 0.0038920268 0.003932661 0.0032904674 0.0032144997 0.0033169677 0.0034600701 0.003541338 0.0036870902 0.0036137723 0.0036499896 0.004217982 0.0033523017 0.0039264774 0.0038460926 0.0036102391 0.0032904674 0.005079245 0.0042480156 0.0040563294 0.004376101 0.003994495 0.0029556789 0.0041773478 0.0038337258 0.004144664 0.0042480156 0.0049856105 0.003907927 0.003612889 0.003380569 0.0043292833 0.0042992495 0.0042594993 0.004490053 0.0039750612 0.0040209955 0.004347834 0.003551938 0.0044564856 0.0043681506 0.0018115942 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00085581903 1.1941661e-05 2.6537025e-06 2.6537025e-06 3.0959861e-06 3.0959861e-06 2.2114186e-06 2.6537025e-06 2.6537025e-06 2.2114186e-06 2.6537025e-06 2.2114186e-06 2.6537025e-06 2.6537025e-06 3.9805536e-06 2.6537025e-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 0.0007726697 3.9363254e-05 1.4595364e-05 8.845675e-07 8.8456745e-06 4.4228373e-06 1.8133633e-05 1.3268512e-05 1.1499377e-05 1.769135e-06 0.0 3.0959861e-06 3.0959861e-06 1.769135e-06 3.53827e-06 8.8456745e-06 0.0014692666 4.732436e-05 1.1941661e-05 4.732436e-05 1.2826228e-05 9.287958e-06 1.1057094e-05 8.8456745e-06 5.5727753e-05 1.2826228e-05 1.7249065e-05 1.2826228e-05 1.7691349e-05 1.4595364e-05 4.732436e-05 1.547993e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050464575 3.80364e-05 3.449813e-05 3.1402145e-05 3.2728996e-05 4.732436e-05 2.0787336e-05 2.2114187e-05 3.6267265e-05 1.90182e-05 1.547993e-05 1.547993e-05 3.0075294e-05 1.1941661e-05 2.0345053e-05 2.5652456e-05 0.0008956246 9.995612e-05 4.245924e-05 5.3516334e-05 6.015059e-05 5.086263e-05 7.34191e-05 5.1747196e-05 5.8823738e-05 7.386138e-05 4.7766644e-05 4.8208927e-05 5.661232e-05 3.2728996e-05 9.5091e-05 7.0765396e-05 0.0003781526 4.732436e-05 4.2901524e-05 5.793917e-05 3.5382698e-05 2.0787336e-05 2.609474e-05 3.0075294e-05 7.2976814e-05 2.7421593e-05 2.5210173e-05 2.6537024e-05 2.6537024e-05 2.7421593e-05 3.0517578e-05 3.0517578e-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 0.00049712695 0.000106148094 7.120768e-05 7.651509e-05 7.4303665e-05 9.199502e-05 0.00011366692 8.3149345e-05 9.818699e-05 0.00011322464 5.3516334e-05 7.6957374e-05 0.00010835952 3.8478687e-05 6.855398e-05 0.00014020395 0.067619435 0.061518572 0.07038592 0.05985824 0.06267735 0.06460969 0.05596216 0.057521652 0.06053051 0.060297426 0.056721564 0.060717598 0.06427931 0.058354918 0.061985623 0.06609046 5073.0 5.6487284 28656.0 0.01176019 0.012353434 0.010608599 0.009352317 0.011481016 0.012807091 0.0100153545 0.012144053 0.012318538 0.014761306 0.00963149 0.010538805 0.011166946 0.013784199 0.008759073 0.010887772 0.0126326075 0.012667504 0.012144053 0.010189838 0.010469012 0.009491904 0.009073144 0.00837521 0.010399219 0.010713289 0.009875768 0.008933556 0.00921273 0.008933556 0.009701285 0.009561697 0.0125279175 0.008724176 0.01228364 0.0091080405 0.012318538 0.010748185 0.009736181 0.008968453 0.011446119 0.010503909 0.00942211 0.009805975 0.010120044 0.009491904 0.010573702 0.010538805 0.014447236 0.012213847 0.013295645 0.010294528 0.009736181 0.010329425 0.0116555 0.011341429 0.009666388 0.009771078 0.01186488 0.010538805 0.010573702 0.008026242 0.010783082 0.010748185 0.00889866 0.00889866 0.009980458 0.00868928 0.012841987 0.010957565 0.010503909 0.008096036 0.010120044 0.011201843 0.009666388 0.010399219 0.009561697 0.008828866 0.009771078 0.008340313 0.010469012 0.009701285 0.0100153545 0.008130932 0.012458124 0.011515913 0.010434115 0.009666388 0.009352317 0.009247627 0.008863763 0.0072934115 0.010887772 0.009457007 0.0095268 0.009875768 6.5713105 0.0 0.0 0.0 14.0 1132058.0 4554752.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1388717200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 516096.0 1024.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1138176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 250880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 529920.0 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 -7.914869 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.931366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.25686502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9940066 0.0 0.0 1.3087226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1138688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 704512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2166784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 529684.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81.0 4548208.0 149.0 1241197.0 529684.0 708608.0 0.0 0.0 7696.0 1932304.0 8.0 1241592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.048877448 0.004675663 0.0045375633 0.004902541 0.0044093276 0.0037484218 0.0031960227 0.0033242581 0.004014757 0.0034919507 0.0034130367 0.0036300505 0.004251499 0.003501815 0.0033045297 0.007782907 0.0040838066 0.00316643 0.0029987374 0.0035116794 0.0034031724 0.004350142 0.0031960227 0.0032552083 0.0038076073 0.0036300505 0.0031565656 0.0033735796 0.0030677873 0.003758286 0.0032453442 0.0035314078 0.0038372 0.003383444 0.0034229008 0.0030875157 0.005533854 0.0034919507 0.003284801 0.002880366 0.0033735796 0.0031960227 0.0034031724 0.003758286 0.0030283302 0.0035511365 0.0035905933 0.0031467015 0.004014757 0.0033735796 0.0036300505 0.004833491 0.0029296875 0.0036497791 0.0030283302 0.0031072444 0.0033735796 0.0036497791 0.0032650726 0.0038470645 0.0034031724 0.0035905933 0.0030184658 0.0032552083 0.007901278 0.0041923136 0.0034031724 0.003758286 0.0042219064 0.0042120423 0.0036399148 0.0031269728 0.0032946654 0.0034919507 0.003393308 0.003679372 0.003945707 0.003689236 0.004054214 0.0035314078 0.004616477 0.003610322 0.00316643 0.0038372 0.0036497791 0.0035905933 0.003935843 0.004350142 0.0034327651 0.0034229008 0.0032650726 0.003274937 0.003393308 0.0034919507 0.003679372 0.005080098 0.0037089647 0.0042613638 0.0035116794 0.0041725854 0.0046657985 0.0055930396 0.003383444 0.0030480586 0.0044389204 0.0055831755 0.003689236 0.0031565656 0.00390625 0.003718829 0.004014757 0.0041824495 0.0035314078 0.0032354798 0.004123264 0.0043994635 0.005563447 0.0041035353 0.003314394 0.0032552083 0.003718829 0.0035314078 0.003314394 0.0030184658 0.0033242581 0.0035215435 0.0034031724 0.0034229008 0.0037089647 0.0050209123 0.0031171085 0.004389599 0.0037484218 0.0046657985 0.0036399148 0.0041133994 0.004014757 0.0048532197 0.0035610006 0.0072009154 0.0033735796 0.006204624 0.0029987374 0.0034426295 0.0030480586 0.00309738 0.0030677873 0.0033637153 0.0031368372 0.0032157514 0.0033341225 0.0029691446 0.002909959 0.00309738 0.0027422665 0.002870502 0.0029691446 0.0035807292 0.0028409092 0.0027422665 0.0027126735 0.0034722222 0.0027521306 0.003383444 0.0031861584 0.00316643 0.003057923 0.0033735796 0.002979009 0.0031269728 0.0028902304 0.003393308 0.0028507733 0.002988873 0.0030776516 0.0044487845 0.0032552083 0.0035215435 0.0032453442 0.003353851 0.0032552083 0.0029395518 0.0036300505 0.003679372 0.0032453442 0.0038174717 0.0029592803 0.003501815 0.0032354798 0.00316643 0.003383444 0.003916114 0.0050011836 0.0052181976 0.004202178 0.0048926766 0.003679372 0.0040344857 0.004606613 0.004971591 0.0035610006 0.004133128 0.0036004577 0.003916114 0.006096117 0.0038174717 0.0035412721 0.003945707 0.0035314078 0.003787879 0.0044191917 0.0041725854 0.00309738 0.0037089647 0.0037681502 0.003689236 0.00309738 0.003314394 0.0037681502 0.0037385575 0.003393308 0.0037286931 0.0034426295 0.0035116794 0.003501815 0.0032946654 0.0034229008 0.0031762943 0.0030875157 0.0030381945 0.0033341225 0.00309738 0.0047447127 0.003462358 0.0035412721 0.0038372 0.0034229008 0.0036399148 0.0036004577 0.0034130367 0.0036004577 0.0036991003 0.0039752997 0.0046263416 0.00309738 0.0035215435 0.0047743055 0.005159012 0.0032453442 0.0035610006 0.0036695076 0.0037385575 0.0035116794 0.0035314078 0.0043698708 0.011225536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044393735 4.4842156e-05 0.00032386 0.0003537548 0.00095663266 0.00048828125 0.002276985 0.0011509487 1.4947385e-05 4.9824616e-06 1.4947385e-05 2.989477e-05 4.9824616e-06 9.964923e-06 2.491231e-05 6.4772e-05 0.018385284 0.0005779656 0.0012207031 0.0012007733 0.003701969 0.0023816167 0.0058842874 0.0028300383 0.0008619659 0.00024414062 0.00027403538 0.00030891263 0.00090182555 0.00024414062 0.00035873725 0.0014399315 0.0032535475 0.00011957908 0.0001694037 0.000259088 0.0012655453 0.0009267379 0.0023467394 0.001240633 5.480708e-05 7.473693e-05 5.480708e-05 4.982462e-05 6.975447e-05 5.978954e-05 5.480708e-05 0.00020428094 0.004145408 0.00021424585 0.00027403538 0.00021424585 0.0011061066 0.00040856187 0.00028400033 0.00031887754 0.00069754466 5.978954e-05 7.473693e-05 0.00013950893 0.00073740433 8.470185e-05 0.000388632 0.0010562818 0.01013931 0.0019082829 0.0019929847 0.0012655453 0.0033282845 0.0031489157 0.0014748087 0.0015445631 0.0050671636 0.0001694037 0.00030393017 0.0005978954 0.004444356 0.00046336895 0.0012755102 0.0036920041 0.01941167 0.0044393735 0.0042151627 0.0044294083 0.006432358 0.004583865 0.005570392 0.0035425304 0.012864716 0.0019929847 0.0034478635 0.0051867426 0.015729632 0.009810467 0.0064672353 0.0143245775 0.04817044 0.04838967 0.047911353 0.048419565 0.046999563 0.048085738 0.0473583 0.04838967 0.048768334 0.04657107 0.046745457 0.04796616 0.047627352 0.047731984 0.047233738 0.048937738 515.0 8.807767 4536.0 0.01212522 0.0041887127 0.0077160494 0.003968254 0.009700176 0.005291005 0.005952381 0.005291005 0.004409171 0.003968254 0.0057319226 0.0055114636 0.005291005 0.0066137565 0.011243386 0.0057319226 0.0070546735 0.008156966 0.009479717 0.008377425 0.0061728396 0.0061728396 0.0057319226 0.0046296297 0.0055114636 0.006834215 0.0070546735 0.0041887127 0.006393298 0.0070546735 0.008156966 0.0090388 0.023148147 0.014550265 0.0077160494 0.011904762 0.014109347 0.009920635 0.008156966 0.009700176 0.0057319226 0.010361552 0.0046296297 0.0046296297 0.0077160494 0.007936508 0.006834215 0.005291005 0.011243386 0.009259259 0.009259259 0.01212522 0.0070546735 0.0077160494 0.010361552 0.012345679 0.008818342 0.004409171 0.0055114636 0.0057319226 0.0057319226 0.003968254 0.003968254 0.027116403 0.006834215 0.024029983 0.008377425 0.025352733 0.020723104 0.05357143 0.008597883 0.007936508 0.012345679 0.023589065 0.0050705466 0.007936508 0.022266313 0.015652558 0.02601411 0.026895944 0.014770723 0.005952381 0.030643739 0.027557319 0.0361552 0.012345679 0.006834215 0.008377425 0.009700176 0.011243386 0.0057319226 0.005291005 0.004850088 0.0050705466 0.005291005 0.005291005 6.2635903 0.0 0.0 0.0 3.0 101376.0 118784.0 1.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1378698200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 86528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.101574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2568676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4506035 0.0 7.984648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4334.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8385.0 0.0 90112.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 18180.0 432.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 16832.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 17424.0 0.0 0.0 392.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.0011160715 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.00055803574 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00055803574 0.0011160715 0.0011160715 0.005301339 0.0008370536 0.00055803574 0.0008370536 0.0008370536 0.0 0.00027901787 0.0013950893 0.0025111607 0.0008370536 0.0013950893 0.003627232 0.0013950893 0.002232143 0.0013950893 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00055803574 0.002232143 0.0011160715 0.003627232 0.00027901787 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.0 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.020019531 0.024169922 0.0061035156 0.024902344 0.03491211 0.034179688 0.034423828 0.028076172 0.0014648438 0.00390625 0.008544922 0.014404297 0.0014648438 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0038314175 0.01532567 0.007662835 0.01532567 0.007662835 0.007662835 0.007662835 0.007662835 0.0 0.0038314175 0.007662835 0.011494253 0.011494253 0.011494253 0.011494253 0.01532567 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.007662835 0.007662835 0.011494253 0.0038314175 0.0038314175 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.019157087 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.3296046 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1294145400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9224098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1712968 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.16927347 0.012066344 0.018391736 0.0065022632 0.013022004 0.004080605 0.0029110229 0.0033919988 0.013159725 0.002167887 0.0023188912 0.0016554521 0.006008005 0.0017575197 0.0011863607 0.0042518834 0.0078123636 0.0017386441 0.0020287677 0.0011381233 0.0059534754 0.0022818393 0.0009297936 0.0010731076 0.0026991977 0.00070748205 0.0010703113 0.0009381827 0.001964451 0.0005438943 0.0005452925 0.00081723963 0.0044399393 0.000872468 0.000669731 0.00065085554 0.0051320414 0.00088225526 0.00064596185 0.0006145027 0.0014219551 0.00074103853 0.0005515843 0.0010087912 0.001557579 0.0008864498 0.0036961043 0.0006851111 0.0055962387 0.0034695982 0.0033081078 0.008630302 0.0037289616 0.0032507821 0.0033437614 0.003120751 0.004356747 0.0032102347 0.0031654928 0.00475523 0.004537812 0.003550693 0.0038079591 0.0031039726 0.01494381 0.0036317878 0.0035185346 0.00720625 0.0066616563 0.015294056 0.003974343 0.0027404444 0.005628397 0.0052711605 0.002745338 0.00188825 0.0061058775 0.0043756226 0.0028522993 0.0028851565 0.0067881923 0.0030641244 0.0033668315 0.0150661515 0.004819547 0.0086407885 0.004514742 0.0028334237 0.0016449656 0.0050900956 0.0023727214 0.0039268048 0.0010570285 0.0033899017 0.003287135 0.002075607 0.001173777 0.007897653 0.0009374836 0.0035157383 0.0082800565 0.01701033 0.005499764 0.0019315938 0.004830732 0.006169495 0.0025621755 0.00083821244 0.00728315 0.004626597 0.007679536 0.0072041526 0.0036450706 0.0006131045 0.008185679 0.007934704 0.015138857 0.0059101316 0.0021301361 0.00081723963 0.0031501127 0.0047957776 0.0005459916 0.00071447296 0.004557387 0.0017917752 0.0012066344 0.00090532535 0.0027432407 0.00086268067 0.0007543213 0.0065015643 0.0026160057 0.003905832 0.0004760823 0.0004998514 0.0013988849 0.009204257 0.00042994216 0.041763112 0.0014862716 0.008063338 0.0004837723 0.000902529 0.0033500532 0.0004641977 0.0004634986 0.0004054739 0.0013702222 0.0006501564 0.00036982016 0.00038450112 0.0022916265 0.00056906167 0.00042365032 0.0006941993 0.0025677683 0.00045720677 0.0004131639 0.00039219114 0.0010437458 0.0017316532 0.00036912106 0.00042854395 0.0013031092 0.00053620426 0.0003355646 0.00040757118 0.0011241414 0.00039708478 0.0003355646 0.00037751018 0.00086827343 0.00038380202 0.00036842198 0.00039848298 0.0020490414 0.000579548 0.001654753 0.0004264467 0.0008535925 0.00036422742 0.0010898858 0.0010912841 0.0014450251 0.0012150235 0.0010185784 0.0004837723 0.0014792806 0.00044811858 0.00051872694 0.00087386614 0.008501669 0.0009060244 0.0016372757 0.009236416 0.003317196 0.0005236206 0.0031053708 0.0019518675 0.002586644 0.0013422584 0.0007613122 0.000609609 0.0017987661 0.000473985 0.0007186675 0.0005760526 0.0022601674 0.00071657024 0.0021343308 0.0010940804 0.0013184893 0.00049006415 0.001377213 0.0007920723 0.0038582939 0.0006424664 0.0011444151 0.001865879 0.0018491008 0.00073404756 0.0005725571 0.00090882083 0.0019616548 0.0005054442 0.00055927434 0.00049915235 0.0014492196 0.0011178496 0.0005054442 0.00043693307 0.017868116 0.003557684 0.000872468 0.0042316094 0.003762518 0.00054109795 0.0012373945 0.001128336 0.0063463654 0.0014869707 0.001761015 0.0017722006 0.0058010733 0.0012737473 0.0015205271 0.001173078 0.0062848455 0.0018924446 0.001399584 0.00155688 0.007966164 0.0016358774 0.0019952112 0.037811838 0.002859333 7.000448e-07 2.1001345e-06 0.0 0.0007171959 3.500224e-07 0.0 0.0 3.500224e-07 1.4000896e-06 0.0 0.0 1.4000896e-06 0.0 3.500224e-07 1.0500672e-06 0.0020220794 0.000108506945 5.950381e-06 1.0500672e-06 1.0500672e-06 1.0500672e-06 1.0500672e-06 1.750112e-06 1.0500672e-06 1.750112e-06 1.0500672e-06 1.0500672e-06 1.0500672e-06 7.000448e-07 7.000448e-07 7.000448e-07 0.0011830757 0.00031467015 3.500224e-06 1.0150649e-05 0.0006331905 5.6003582e-06 3.500224e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026923723 0.00063529063 1.6451053e-05 0.00017221102 0.00055583555 4.200269e-06 2.450157e-06 2.1001345e-06 1.750112e-06 8.050515e-06 1.4000896e-06 2.3801524e-05 3.7452395e-05 2.450157e-06 5.950381e-06 0.00013930892 0.0017984151 1.5400985e-05 5.250336e-06 3.1502016e-06 1.2950829e-05 5.950381e-06 2.5551635e-05 3.6052308e-05 1.7851142e-05 6.300403e-06 2.450157e-06 1.0500672e-06 7.105455e-05 2.5201613e-05 1.1900762e-05 0.00011200717 0.0018628192 1.22507845e-05 8.400538e-06 1.5050963e-05 4.1302643e-05 1.9601255e-05 4.655298e-05 4.4102824e-05 1.3300852e-05 1.6451053e-05 5.6003582e-06 4.9003138e-05 0.00013615872 1.5751008e-05 2.2751456e-05 0.00055828574 0.006165995 8.155522e-05 7.5254815e-05 8.7855624e-05 0.0003563228 9.415603e-05 0.00014700941 9.940636e-05 3.955253e-05 0.00027581764 6.650426e-06 0.00021736391 0.00036017306 2.1351367e-05 2.8701837e-05 0.0019786765 0.0051449793 0.00080505153 0.0005344842 8.1905244e-05 0.0009776126 0.00080855173 0.0013815385 0.0007630488 4.235271e-05 2.2401433e-05 3.3952172e-05 1.5050963e-05 3.7102374e-05 2.8701837e-05 2.7301747e-05 4.8653113e-05 0.0050830254 0.0010399165 0.00038117438 0.0007329469 0.0015033463 0.0010808692 0.0016783574 0.0008407538 2.2751456e-05 5.2853382e-05 1.1550739e-05 4.655298e-05 4.0602597e-05 2.4501569e-05 4.8653113e-05 0.00031537018 0.019794466 0.0017875644 0.00057368673 0.0008691056 0.004892963 0.002375952 0.007238463 0.0029037858 0.00024361559 0.00051278283 0.00019951277 0.00023451501 0.0003563228 0.00018866207 0.00019986278 0.0006394909 0.05201718 0.0041327146 0.0022611448 0.0020038784 0.015885767 0.0060382364 0.0211095 0.011635095 0.0012576305 0.001530648 0.00070984545 0.0009811128 0.0012212282 0.0008512545 0.000906208 0.003623432 0.06270021 0.0068016355 0.0071779094 0.044666007 0.022438535 0.0099427365 0.02954504 0.022523241 0.004954567 0.0053087897 0.0036930863 0.0038152442 0.004344128 0.004107163 0.004109263 0.0076000364 0.0107106855 0.0008701557 0.0010749188 0.0006478915 0.003485173 0.0020175292 0.0039790547 0.0025985662 0.0017161599 0.00046132953 0.00026811715 0.00043122759 0.0007717994 0.0007063452 0.0008642053 0.001654906 0.035275258 0.004787606 0.003959453 0.0041460153 0.012977781 0.014157356 0.009391101 0.007797799 0.020451808 0.0021165854 0.0015169971 0.0030217434 0.008076067 0.0040417085 0.00952201 0.018617341 0.052735776 0.010767739 0.00828748 0.011482134 0.025241865 0.035376415 0.012887825 0.012757267 0.053343765 0.0048789624 0.0038778982 0.0066784276 0.022522891 0.011680247 0.024440315 0.04641017 4.2002688e-05 4.2002688e-05 4.6903002e-05 4.550291e-05 4.340278e-05 4.515289e-05 4.7953068e-05 4.6202957e-05 4.5852936e-05 3.9902552e-05 4.6903002e-05 4.4102824e-05 5.0053204e-05 4.2002688e-05 4.935316e-05 3.955253e-05 17791.0 12.784779 227454.0 0.0032929736 0.001595927 0.0007342144 0.00062869856 0.003600728 0.0008617127 0.001310155 0.00081335125 0.0024268643 0.0009100741 0.0008485232 0.00079136883 0.0036227105 0.0020091974 0.020096371 0.0006023196 0.009812973 0.008353338 0.00846325 0.007298179 0.008753418 0.008045583 0.008067565 0.0076147267 0.010133917 0.008080754 0.007627916 0.00787412 0.01361594 0.009597545 0.012147511 0.0070475787 0.003574349 0.009672285 0.003358921 0.018496048 0.009593149 0.007201456 0.008129116 0.0049944166 0.018166311 0.015071179 0.0007430074 0.001283776 0.007073958 0.0056011328 0.0045195953 0.005324153 0.008137909 0.0031522857 0.008982036 0.01834217 0.020175507 0.004642697 0.006023196 0.003653486 0.0036666754 0.005702252 0.0019476466 0.0043701143 0.0023741063 0.0043833037 0.004361321 0.0043877005 0.0026862575 0.042949345 0.0034248682 0.018381739 0.017018827 0.08351139 0.009272205 0.008933675 0.0077422247 0.033721104 0.0018157518 0.002308159 0.025868967 0.024835791 0.041995306 0.037893377 0.013800593 0.0008661092 0.044562858 0.041652378 0.06559568 0.014016021 0.0040052054 0.0018421307 0.010160296 0.021358164 0.0011826567 0.00047921776 0.0022641942 0.0007342144 0.00069024944 0.00064628455 5.7317877 0.0 0.0 0.0 1.0 1430425.0 1482752.0 0.0 1.0 210.0 1.0 1.0 0.0 1.0 0.0 1477561500.0 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 5.0 0.0 5.0 0.0 1251840.0 1024.0 4096.0 11.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -116224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -18432.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -1247232.0 -6144.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.246603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2157707 -6.2344403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2719 0.0 0.0 0.0 0.0 0.0 4.0615077 0.0 0.0 -6.4749093 -5.105861 3.5839295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 -115792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20932.0 0.0 0.0 -18068.0 0.0 0.0 0.0 0.0 0.0 97.0 0.0 0.0 -1247108.0 -6114.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 1.0 2.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 2.0 0.0 3.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 97.0 1318912.0 6114.0 1306624.0 32256.0 1449984.0 0.0 0.0 0.0 0.0 115404.0 1331200.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1327104.0 0.0 0.0 0.0 0.0 908.0 1307892.0 388.0 1314816.0 0.0 0.0


Input: 0.4161122 0.009263631 0.0058271806 0.003950368 0.007900736 0.0030286554 0.002936842 0.0021892171 0.0040660296 0.0012269631 0.0017396882 0.0010993781 0.0036439255 0.00295592 0.0013998589 0.007703993 0.003608154 0.0010826847 0.0010707609 0.00092171284 0.0030393868 0.0024682349 0.0010683761 0.0006558112 0.0020008204 0.0006725046 0.00063792546 0.0005365728 0.0015596383 0.0008215526 0.0005628053 0.00071423803 0.0054384633 0.00049722416 0.0006713122 0.00036009998 0.009515224 0.0013593178 0.0005842682 0.000478146 0.0015763317 0.0008513622 0.0006510417 0.0010230655 0.0010946086 0.00066058076 0.0008811718 0.00072854664 0.003691621 0.0021844476 0.0032397073 0.003008385 0.0025517019 0.0018255399 0.0020127443 0.00164549 0.002605359 0.0024885053 0.0021916018 0.0030536954 0.0030978136 0.002487313 0.0017945379 0.0032695169 0.008176177 0.0040064105 0.0034459897 0.002924918 0.008758061 0.0030846975 0.0039825626 0.001649067 0.002583896 0.0016407204 0.0020353994 0.0011041476 0.0029904991 0.001614488 0.0020747483 0.0016311813 0.0054968903 0.0030203087 0.002158215 0.003027463 0.003337483 0.001726572 0.004285428 0.0019567022 0.0014606704 0.0010647989 0.0010540675 0.0017766522 0.001583486 0.0011733059 0.0024801588 0.0024038462 0.001192384 0.0031943968 0.0015536763 0.0018577343 0.0028497977 0.0041757287 0.00611693 0.0013342777 0.0027555993 0.0033768315 0.0026757098 0.00068323605 0.003263555 0.0012281556 0.0030417717 0.0038382842 0.0034913004 0.0006045387 0.0031013908 0.002611321 0.008059324 0.0037941658 0.0013688569 0.0009956406 0.0027520224 0.0012675042 0.0007667029 0.0005914225 0.0016788767 0.0011482658 0.0013247386 0.0012245784 0.0053669205 0.0014201293 0.0012353099 0.005697211 0.0025314311 0.0024586958 0.001536983 0.0010624141 0.004434476 0.004713494 0.0025206998 0.012677426 0.0010099493 0.0035902683 0.0013712416 0.00085374695 0.0015548688 0.0009634463 0.000987294 0.0011387267 0.0015238668 0.0011220333 0.0013044681 0.0012579651 0.0012245784 0.0011184562 0.001089839 0.0010719532 0.001443977 0.0007822039 0.00093482906 0.00072735426 0.0014022436 0.0016311813 0.0009682158 0.0015799088 0.0010516827 0.00077981915 0.00036963905 0.0021939867 0.0011566125 0.0057711387 0.0009765625 0.0007082761 0.0009336367 0.0005377652 0.00081678305 0.0005747291 0.0013271234 0.0007321238 0.00086209364 0.00074404763 0.0011268029 0.000729739 0.0024658502 0.0026280144 0.0015024039 0.00094913767 0.00091217377 0.0007082761 0.0010934161 0.0009765625 0.0012734662 0.0011697287 0.0044821715 0.0023120325 0.0019614717 0.0039265207 0.0043200073 0.001403436 0.004069607 0.0023251488 0.001937624 0.0020914415 0.00110534 0.001213847 0.015453297 0.0010600294 0.0013581254 0.0010135265 0.0023716518 0.0011446887 0.0015703697 0.0012901595 0.0011446887 0.0008287069 0.0010826847 0.0010171036 0.0013617026 0.001012334 0.00085255457 0.0012007307 0.0012293479 0.00073450856 0.00087640225 0.00071423803 0.0017957303 0.0013557406 0.0011494582 0.0011089172 0.0012806205 0.0009038271 0.00094913767 0.0007082761 0.005874876 0.0013485863 0.000760741 0.0020020127 0.0011423039 0.00068204367 0.00061765494 0.0004554907 0.001136342 0.0007619334 0.000596192 0.0007977049 0.00084063073 0.000478146 0.0011899993 0.0007082761 0.0014058207 0.0015012114 0.0019364316 0.002222604 0.0013044681 0.0013760112 0.0031192766 0.047032394 0.065303735 0.00031875574 7.759971e-06 1.1938417e-06 1.1341496e-05 5.9692087e-07 1.7907626e-06 2.9846042e-06 5.9692087e-07 0.0 1.1938417e-06 0.0 8.356892e-06 1.1938417e-06 1.7907626e-06 0.00035337714 0.042998597 0.00043336453 4.0590618e-05 2.089223e-05 0.00010863959 2.7458358e-05 3.7009093e-05 2.6264517e-05 2.3279912e-05 2.86522e-05 2.3876833e-05 2.9249122e-05 7.043666e-05 5.2529034e-05 7.3421266e-05 0.0012380139 0.06783528 0.0006852651 0.00015579634 0.00018922391 0.00052887184 9.849194e-05 9.670118e-05 0.00014743945 0.0001975808 0.00011639956 9.3716575e-05 0.00014445484 0.00031338344 0.00013430719 0.00019579004 0.0036394263 0.031003471 0.00012535337 0.00011102728 0.00023578374 0.00013908256 7.939047e-05 0.00010267038 0.00013967948 0.00018265778 0.00012714414 9.670118e-05 0.00014385792 0.0003205465 0.00020355001 0.00020832538 0.0022330808 0.024440328 0.00056826865 0.00053722877 0.00015042405 0.00088881515 7.4615105e-05 8.476276e-05 0.00010923651 0.00015818402 8.1181235e-05 0.0004930566 0.0001116242 0.00021727919 0.0005754317 0.0001975808 0.00065183756 0.016419502 0.00021548843 0.00014505176 0.00020474385 0.00019340236 0.00017430089 0.00016594399 0.0001832547 0.00019579004 0.00018206086 0.00021727919 0.0001862393 0.00038799856 0.00032532186 0.00041486 0.0011711587 0.027974695 0.0004470937 0.0003378572 0.00048828125 0.0012087647 0.0006219915 0.0005193211 0.00031278652 0.00051036733 0.0003008481 0.00034979562 0.0005318565 0.0008619537 0.00085001526 0.0007270496 0.0018546331 0.030962285 0.0008303169 0.00071451423 0.0005557333 0.0015848249 0.00056826865 0.0006022931 0.00065720984 0.00056528405 0.0005187242 0.0005569272 0.00043455837 0.0012797983 0.00077659404 0.0007133204 0.0039116223 0.015823774 0.00065482216 0.000558121 0.0009711902 0.0048917662 0.0020641524 0.00741316 0.0035188484 0.00036770324 0.00042321687 0.00054260105 0.0004578383 0.0009103043 0.0005867732 0.0005611056 0.0018194148 0.01835054 0.00062020076 0.0014338038 0.0012696506 0.0043718484 0.0021644349 0.007073512 0.0034585593 0.00040590618 0.00053961645 0.0007562987 0.0008076339 0.0012577123 0.0011645926 0.0010362546 0.0029666966 0.01480901 0.00061363465 0.002693307 0.0016552615 0.0042590303 0.0023918618 0.005638514 0.0031398037 0.0006500468 0.0007807725 0.0006595975 0.0007294373 0.0010577437 0.0007968893 0.0006870559 0.002225321 0.019650036 0.0020098325 0.0023405266 0.018853148 0.0035725713 0.0026712208 0.0027858296 0.0023864894 0.0025428827 0.0026939039 0.002006251 0.002049826 0.0031045852 0.0024306616 0.0020635554 0.0046332995 0.015618434 0.00095208874 0.0016194462 0.0021322013 0.00348363 0.002269493 0.0029290905 0.0020778815 0.0025530304 0.0020355 0.0014803637 0.0014546961 0.0034824363 0.0013012874 0.0013484441 0.0041617323 0.04197846 0.005813412 0.006634178 0.005778194 0.01178083 0.010862766 0.0059775654 0.0070371 0.019332476 0.0031780065 0.0053973584 0.0045282417 0.017362637 0.003423341 0.0058629564 0.013756637 0.040817447 0.0069744233 0.008904268 0.008518061 0.014542783 0.013776933 0.009458807 0.011361195 0.024631342 0.0069869584 0.008613568 0.0073898803 0.019233387 0.0055758376 0.0078936815 0.021702848 0.00058080396 0.00017310705 0.0001575871 0.00016594399 0.00017668857 0.0001975808 0.00027756818 0.0002513037 0.00022444224 0.00025846672 0.00018683623 0.00022145764 0.00021966686 0.00023578374 0.00017430089 0.00016594399 3106.0 21.290405 66128.0 0.040119164 0.0010585531 0.0013458746 0.0007863537 0.012354827 0.003236148 0.0011492863 0.0007409872 0.0066537624 0.0050508105 0.0009980644 0.001134164 0.0026312605 0.0024951608 0.0036746915 0.0018449068 0.015606097 0.010192354 0.012415316 0.0071679167 0.010116743 0.0074703605 0.0074703605 0.0065932735 0.0096782 0.0096782 0.0098143 0.008997701 0.008589403 0.007651827 0.007031817 0.020248609 0.053623278 0.023076458 0.00580692 0.020399831 0.014910476 0.012974837 0.0033420033 0.0048391 0.004415679 0.0076669487 0.0029185822 0.0018146625 0.0061849747 0.0068352288 0.005398621 0.009436245 0.017753448 0.005988386 0.0071527944 0.018146625 0.012868982 0.0076367045 0.0145173 0.0045669004 0.0050508105 0.002192717 0.0048088557 0.0017995402 0.0027824824 0.001693685 0.002268328 0.009874788 0.002177595 0.032391727 0.010252843 0.016951973 0.015953908 0.044156786 0.010827486 0.011311396 0.0064874184 0.035491772 0.0030093153 0.0020566175 0.027824825 0.009375756 0.031393662 0.042644568 0.011326518 0.0012248972 0.026781393 0.024165256 0.051596902 0.010963586 0.00435519 0.002011251 0.00836257 0.0039317687 0.00090733124 0.0006048875 0.0023136947 0.000725865 0.0008468425 0.0008317203 5.909649 4.0 0.0 0.0 24.0 838656.0 7348224.0 1.0 103.0 332.0 1.0 1.0 0.0 0.0 0.0 1465395800.0 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 9.0 0.0 5.0 0.0 5.0 0.0 266752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -52736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -266752.0 0.0 333312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.794817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2163286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4985232 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7282443 0.0 3.739677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166718.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6515060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -266724.0 0.0 333144.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -3.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 0.0 2.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 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 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 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 1.0 2.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 2.0 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 1.0 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 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 3.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 2.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -2.0 1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 2.0 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 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 1.0 1.0 0.0 0.0 -1.0 2.0 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 3.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 6510.0 434640.0 220.0 408524.0 333144.0 6959104.0 0.0 0.0 0.0 0.0 30456.0 7294976.0 28.0 276880.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 397680.0 0.0 0.0 2284.0 274432.0 0.0 0.0 0.0 0.0