Input: 0.22209941 0.002934704 0.0029882144 0.0030216584 0.003103596 0.0030651353 0.0030132972 0.003026675 0.0031019237 0.0031069403 0.0031353675 0.0030049363 0.0030383803 0.0030567744 0.0029330319 0.0032373716 0.003113629 0.0029229987 0.0028878825 0.003003264 0.0031019237 0.0030183138 0.0029397206 0.0028260113 0.003180517 0.0030500856 0.0030183138 0.0030333637 0.0031286788 0.0030584466 0.002899588 0.0029213266 0.003145401 0.0029614593 0.0031838613 0.003080185 0.0051955134 0.0030668075 0.0029714925 0.002951426 0.0029464094 0.003070152 0.0029296875 0.00291631 0.0030383803 0.0028594553 0.0029480816 0.0027708288 0.0031587784 0.0030634631 0.0028527665 0.0029581147 0.0031119569 0.0029731647 0.0030099528 0.0030734963 0.0031320232 0.0030584466 0.0029530982 0.0031286788 0.003103596 0.0029999197 0.0030969072 0.0030233306 0.0031203178 0.0030300193 0.0031621228 0.0028795216 0.0038243125 0.003086874 0.0031972388 0.002968148 0.0031102847 0.0031370397 0.0030149694 0.0030250028 0.0032708156 0.0032039275 0.0031671394 0.00298487 0.0031437287 0.0031487453 0.00291631 0.0030433969 0.00327416 0.0031520897 0.0029330319 0.0029146378 0.0029497538 0.0029129656 0.0029965753 0.0029413928 0.00298487 0.0029698203 0.0031671394 0.0030099528 0.0030935628 0.003198911 0.0030417247 0.0030316915 0.003003264 0.0032106165 0.0031253344 0.003080185 0.003001592 0.003070152 0.002891227 0.0030250028 0.0031086125 0.0030400525 0.0030233306 0.0030132972 0.003001592 0.0028527665 0.0029447372 0.002993231 0.0032942262 0.0032758322 0.0029798534 0.00291631 0.0029296875 0.0029229987 0.0030066085 0.0029447372 0.0032356994 0.003019986 0.0030852018 0.002924671 0.0028544387 0.0030584466 0.002857783 0.0032089443 0.0031487453 0.0030383803 0.0029815256 0.0029748369 0.003026675 0.0040717972 0.002924671 0.0038059182 0.0030785128 0.0032256662 0.0031019237 0.0029464094 0.0029062768 0.0029731647 0.0029530982 0.0029397206 0.0030066085 0.0029380484 0.0030300193 0.0028795216 0.0031504175 0.003086874 0.0030500856 0.002729024 0.0029982475 0.0029046047 0.0029112934 0.003045069 0.0029898866 0.0030417247 0.0030684797 0.0029480816 0.0028076172 0.0028594553 0.0030250028 0.0029982475 0.0030902184 0.0029781812 0.0029648037 0.003011625 0.0029781812 0.0029296875 0.0030066085 0.0030300193 0.0030567744 0.002857783 0.0029798534 0.0028862103 0.0031738281 0.002976509 0.002857783 0.0030500856 0.003080185 0.0029581147 0.0029614593 0.0031203178 0.0031320232 0.0029213266 0.00319055 0.003105268 0.0033494087 0.0031203178 0.003317637 0.0032356994 0.002892899 0.0029096212 0.003155434 0.0033377034 0.0031186456 0.0032390438 0.0028711606 0.0030183138 0.003282521 0.002959787 0.002907949 0.0029096212 0.0029497538 0.0030383803 0.003147073 0.0032089443 0.00312199 0.0029263431 0.0029882144 0.0029062768 0.003182189 0.0030082806 0.0030902184 0.0030300193 0.0030785128 0.003061791 0.0031336953 0.0029798534 0.0031888778 0.003198911 0.0030250028 0.0030400525 0.0030166416 0.0029480816 0.0028594553 0.0028544387 0.0030601188 0.0030985794 0.0028159781 0.0031972388 0.0030852018 0.0029882144 0.0029949031 0.0028109616 0.0029112934 0.0029464094 0.002943065 0.0029012603 0.0028544387 0.002959787 0.0031922222 0.0030734963 0.00327416 0.003113629 0.0031353675 0.0030082806 0.003061791 0.0029781812 0.0031888778 0.0033226535 0.029074091 6.7002575e-06 1.8425708e-05 1.6750644e-06 1.5075579e-05 5.025193e-06 1.6750644e-06 1.6750644e-06 2.1775837e-05 0.0 0.0 0.0 5.025193e-06 0.0 6.7002575e-06 1.6750644e-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 0.004763883 2.0938303e-05 3.6851416e-05 1.172545e-05 3.098869e-05 3.5176352e-05 1.926324e-05 1.7588176e-05 6.197738e-05 5.862725e-06 1.591311e-05 1.8425708e-05 3.098869e-05 2.4288433e-05 2.34509e-05 2.8476094e-05 0.003031029 2.7638562e-05 6.113985e-05 9.212854e-06 4.271414e-05 2.9313625e-05 5.1926992e-05 3.5176352e-05 4.606427e-05 8.375321e-06 3.3501287e-06 2.680103e-05 2.0100772e-05 7.5377893e-06 5.025193e-06 2.5125964e-05 0.0013844407 8.375321e-06 2.2613369e-05 4.1876607e-05 3.6013884e-05 1.8425708e-05 0.00013149255 5.6952187e-05 4.1876606e-06 8.375322e-07 2.5125964e-06 8.375322e-07 0.0 3.3501287e-06 8.375322e-07 2.5125964e-06 0.0012320098 0.0 5.2764528e-05 5.443959e-05 1.591311e-05 1.2562982e-05 0.00021692083 0.00012730488 0.0 0.0 0.0 1.6750644e-06 0.0 0.0 1.6750644e-06 0.0 0.0026784278 5.1926992e-05 3.5176352e-05 3.5176352e-05 7.202777e-05 6.365244e-05 0.00015913112 0.00015745604 2.8476094e-05 1.8425708e-05 1.0050386e-05 1.3400515e-05 2.34509e-05 2.680103e-05 2.1775837e-05 3.5176352e-05 0.0022328608 7.370283e-05 1.0050386e-05 0.0006633255 8.375321e-06 6.5327506e-05 6.7002575e-06 6.867764e-05 5.025193e-06 6.867764e-05 1.6750644e-06 6.365244e-05 1.172545e-05 7.0352704e-05 6.7002575e-06 7.370283e-05 0.003086306 5.025193e-05 0.0003073743 0.00014740566 0.0001926324 0.00010804165 0.00037688948 0.0002370216 0.00031072443 3.182622e-05 2.1775837e-05 4.5226738e-05 7.621542e-05 3.6013884e-05 4.8576865e-05 6.951517e-05 0.0010176016 5.443959e-05 0.00011557944 3.2663753e-05 8.207815e-05 5.5277123e-05 2.34509e-05 3.3501285e-05 0.00014991825 4.1876606e-06 5.025193e-06 9.212854e-06 4.1876607e-05 1.2562982e-05 4.69018e-05 3.098869e-05 0.0008500951 3.936401e-05 0.00016750643 2.9313625e-05 9.464113e-05 3.936401e-05 3.7688947e-05 3.852648e-05 0.00019598253 2.9313625e-05 3.3501287e-06 1.7588176e-05 7.5377895e-05 1.926324e-05 2.5125964e-05 5.2764528e-05 0.004460696 0.00024372186 0.00025879743 0.00024120926 0.00031323702 0.0003048617 0.00028727352 0.00024372186 0.00027722315 0.00025628484 0.00029481133 0.00023032134 0.0003149121 0.0003157496 0.00025377225 0.00027973574 0.0023367146 0.0001742067 0.00017755682 0.00017839434 0.00021775837 0.00017839434 0.00020184525 0.00018341954 0.00017253163 0.0001876072 0.00016583137 0.00020017018 0.00020770797 0.00019430746 0.00018006942 0.00018928226 0.014615774 0.0016390504 0.002891161 0.0015862859 0.0022881378 0.0017998567 0.0015167707 0.0016616638 0.0034238314 0.001548597 0.0014397178 0.0014832695 0.001953125 0.0016139245 0.001691815 0.0017286664 0.066981636 0.011228793 0.011841867 0.011309197 0.01183768 0.011567157 0.011446552 0.011261458 0.011723775 0.011157603 0.011490104 0.011491779 0.012003511 0.011712887 0.011462465 0.011620759 0.12908715 0.034547362 0.03410096 0.034434296 0.034998793 0.0342358 0.034518052 0.034265116 0.033956066 0.034264278 0.03435222 0.034763448 0.03494184 0.03489494 0.0344879 0.034807 2159.0 5.9194074 12780.0 0.0114241 0.009076682 0.011580595 0.010406885 0.010093897 0.011267605 0.00884194 0.008998435 0.01056338 0.009937402 0.010406885 0.010485133 0.0093896715 0.008372457 0.010406885 0.010093897 0.010719875 0.010093897 0.009859155 0.009546166 0.009546166 0.01056338 0.009311424 0.0114241 0.00915493 0.010172144 0.011111111 0.010719875 0.010093897 0.010406885 0.011189358 0.01001565 0.009076682 0.010798122 0.009233177 0.009780908 0.011658842 0.010798122 0.010485133 0.010719875 0.010954617 0.010328638 0.008763693 0.009311424 0.009076682 0.009780908 0.010641628 0.011111111 0.012519562 0.009546166 0.01001565 0.01001565 0.010641628 0.010719875 0.009937402 0.008763693 0.010172144 0.009546166 0.00970266 0.008920188 0.00829421 0.010406885 0.009467918 0.008059468 0.009937402 0.011267605 0.009233177 0.011267605 0.013380282 0.017449139 0.011111111 0.009546166 0.010485133 0.01228482 0.00884194 0.009467918 0.0110328635 0.011893583 0.011658842 0.011971831 0.010406885 0.01001565 0.013223787 0.013223787 0.014084507 0.011502347 0.010954617 0.01001565 0.009780908 0.010485133 0.009233177 0.009076682 0.012050078 0.011658842 0.010172144 0.008763693 6.5734906 0.0 0.0 0.0 7.0 598016.0 614400.0 0.0 0.0 9.0 1.0 1.0 0.0 0.0 0.0 1522404500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37.0 0.0 5.0 0.0 5.0 0.0 24576.0 4096.0 4096.0 9.0 0.0 0.0 4.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -8192.0 0.0 0.0 0.0 0.0 -557056.0 0.0 0.0 -4096.0 0.0 0.0 0.0 -4096.0 0.0 -8192.0 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 -4.952769 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0915604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.47166 0.0 0.0 0.0 0.0 -14.367422 0.0 0.0 -6.1052036 0.0 0.0 0.0 -4.323886 0.0 -6.0070777 0.0 4.3943048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 786.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8129.0 0.0 0.0 0.0 0.0 -570810.0 0.0 0.0 -166.0 0.0 0.0 0.0 -70.0 0.0 -4358.0 0.0 1648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29068.0 1648.0 606208.0 0.0 0.0 0.0 0.0 844.0 610304.0 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 28672.0 0.0 0.0 0.0 0.0


Input: 0.19151062 0.006090967 0.004136848 0.0030425016 0.005856393 0.0030126828 0.0027214536 0.0029321725 0.0073194974 0.002690641 0.0025147106 0.002412333 0.00519243 0.0028894322 0.0023367924 0.005814647 0.0051854723 0.0026946168 0.002318901 0.0022105598 0.0033854167 0.0028288008 0.0023815203 0.0023586594 0.0028983778 0.0023725748 0.0022095658 0.0022513121 0.0025455232 0.002183723 0.0021757714 0.0023258587 0.00358222 0.0022443542 0.0024699825 0.0023069736 0.0038605279 0.0022821247 0.0021787533 0.002318901 0.0025335958 0.0021240856 0.0021797472 0.0026329914 0.0024182966 0.0030643686 0.002274173 0.0022443542 0.00331087 0.0026598282 0.0026548584 0.004166667 0.0027264233 0.002527632 0.002548505 0.002438176 0.0028894322 0.0026449189 0.0026995866 0.0037154104 0.0029202448 0.0032055106 0.00275326 0.003926129 0.0041776 0.0032830392 0.0036577608 0.0026687738 0.005884224 0.0140625 0.0027860608 0.0024968192 0.0030524412 0.0023507078 0.0026160942 0.0021638437 0.0025047709 0.009084765 0.0023984176 0.002249324 0.0054786894 0.0040951017 0.0031379214 0.0026816954 0.0028119036 0.0073224795 0.003287015 0.002875517 0.0025355837 0.0032253896 0.0022373965 0.0024322122 0.0023755566 0.003514631 0.0028456983 0.002874523 0.00252962 0.003098163 0.0023298345 0.0026667858 0.0037879692 0.0036915552 0.003511649 0.0024938374 0.0033913804 0.0028874443 0.003838661 0.00239146 0.0035255647 0.00243917 0.00307729 0.003171716 0.0027264233 0.002250318 0.003794927 0.003328761 0.0056933844 0.0050731553 0.0024560671 0.0023139312 0.0025783237 0.0023835083 0.0022016142 0.0020823395 0.0024212787 0.0026767256 0.0022413724 0.00239146 0.0035991173 0.0026170881 0.002185711 0.007057093 0.0027791031 0.0052729407 0.0021688137 0.0021111642 0.0029520516 0.010115498 0.002690641 0.022349117 0.0024918495 0.0067797787 0.0021817351 0.0020853214 0.0025345897 0.0020723997 0.0020614662 0.0022443542 0.0023328164 0.0028784988 0.0020982428 0.002158874 0.0024173027 0.002206584 0.002094267 0.0022413724 0.00234375 0.0021618558 0.0021181218 0.0022612517 0.002479922 0.002941118 0.0021211037 0.0025166986 0.0023407682 0.002206584 0.0021638437 0.0020833334 0.0024421518 0.002116134 0.0020386053 0.0021817351 0.0024272425 0.0021052004 0.0021201097 0.0020604723 0.0025952212 0.002134025 0.0020793574 0.0020405932 0.002366611 0.002093273 0.003239305 0.0023586594 0.002984852 0.0021727895 0.0022403784 0.0020714058 0.002457061 0.0023049857 0.0023427561 0.002390466 0.004710361 0.003171716 0.0031597884 0.0036170087 0.0037780295 0.002505765 0.003285027 0.004776956 0.0032472566 0.0028178673 0.0022920643 0.002155892 0.011234693 0.002113152 0.0022463421 0.0021539042 0.0029609972 0.0023010098 0.0024332062 0.002155892 0.002761212 0.0022513121 0.0022900763 0.0021290553 0.0030444895 0.002299022 0.002182729 0.0022642335 0.0028367525 0.002389472 0.0021250795 0.002095261 0.0032681297 0.0023129373 0.0021002307 0.0021429707 0.0031776796 0.0029023536 0.0021419767 0.0021002307 0.008719983 0.0032204199 0.0022115537 0.003956942 0.005651638 0.002182729 0.0021688137 0.00224833 0.0043942826 0.002255288 0.0022811308 0.0023517017 0.0037750476 0.0020793574 0.002597209 0.002640943 0.004027513 0.0025654023 0.002507753 0.0021529102 0.0053842636 0.0024332062 0.0046308446 0.021833254 0.117227316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009009063 3.484168e-06 1.990953e-06 6.570145e-05 2.9864298e-06 3.981906e-06 4.4796443e-06 1.990953e-06 1.990953e-06 3.981906e-06 2.9864298e-06 3.981906e-06 4.9773826e-06 4.9773826e-06 6.470598e-06 4.4796443e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007040508 0.00013588255 0.0003105887 8.013586e-05 0.0005967882 9.3077055e-05 0.0005524895 0.00025782842 3.733037e-05 0.00013190064 3.7828107e-05 4.2307754e-05 4.2307754e-05 7.66517e-05 8.113134e-05 0.0006769241 0.009330104 0.00036733085 0.00051466137 0.00021203651 0.0010347979 0.00028122214 0.0008785081 0.000509684 8.162908e-05 0.00016226267 5.126704e-05 5.3755735e-05 5.773764e-05 8.511324e-05 8.113134e-05 0.00056991033 0.0061157104 0.00012642553 0.00061072485 0.00014135767 0.0008506347 0.00020257948 0.0019785096 0.0010467436 6.570145e-05 0.00011398207 7.466074e-05 8.511324e-05 8.8099674e-05 7.3665266e-05 9.656123e-05 0.00056194654 0.0076706447 0.00037280598 0.00077448075 0.00044796444 0.0017390975 0.0005480098 0.0027410446 0.0016012241 0.00014782826 0.00017918578 0.00010303182 0.0002886882 0.000113484326 0.00012642553 0.0001144798 0.00036086026 0.0073705083 0.00029466106 0.00069434487 0.000785431 0.0017828986 0.0005853402 0.002622583 0.001677378 0.00017968351 0.00021502294 0.00017719483 0.00019312245 0.00026628998 0.0001353848 0.00012244361 0.00022696865 0.0032581948 0.00055348495 0.00069135847 0.006779693 0.0007476029 0.00049773825 0.0007914039 0.0009257932 0.00055049855 0.0005022179 0.00046090563 0.0004718559 0.00050918624 0.00049972924 0.0005659284 0.0005430325 0.009359471 0.0011856125 0.0005300913 0.0009327615 0.004642903 0.0027738954 0.0009835309 0.00069434487 0.0077224094 0.000540046 0.00054402795 0.00061719544 0.003507064 0.0007540735 0.002683307 0.005342723 0.03566195 0.005336252 0.0033194167 0.0040167477 0.018239122 0.0126515115 0.0045124954 0.005098831 0.030920498 0.0020646183 0.0023289174 0.003235299 0.016631426 0.003333851 0.01154703 0.020510798 0.01370821 0.0028191896 0.001983487 0.0031905023 0.0048554367 0.004739464 0.00243394 0.0036658423 0.008301777 0.0009009063 0.0013050698 0.0017291427 0.004910686 0.002091994 0.004086431 0.0075755767 0.03182688 0.031176832 0.03132964 0.031203212 0.031030996 0.03143317 0.031388372 0.031188281 0.03153321 0.031464525 0.03131421 0.031203212 0.0312057 0.031394344 0.03119724 0.03163923 3505.0 9.084736 31842.0 0.022957101 0.004616544 0.005056215 0.0054330756 0.011525658 0.0048049744 0.0057471264 0.0071289493 0.006940519 0.004585139 0.0053074555 0.004522329 0.007223164 0.0048677847 0.009672759 0.00502481 0.012562025 0.010081025 0.011494253 0.009924 0.012310784 0.010457885 0.011085987 0.009390114 0.011588468 0.01042648 0.012687645 0.012059544 0.013472772 0.011431443 0.011557063 0.016550468 0.028107531 0.009986809 0.00508762 0.008008291 0.008385152 0.0071289493 0.00738019 0.007034734 0.008071101 0.0056215064 0.0048677847 0.0047735693 0.0078826705 0.0051190252 0.0049934047 0.005370266 0.011965329 0.0059041516 0.0063752276 0.0076000253 0.009452924 0.0073487847 0.011117392 0.009107468 0.009107468 0.00502481 0.006029772 0.005684316 0.0068777087 0.006500848 0.0057471264 0.0135355815 0.008102506 0.024056278 0.011243013 0.017838076 0.019094277 0.03567615 0.0097669745 0.009641354 0.009201683 0.02264305 0.006971924 0.0062182024 0.021669494 0.010991772 0.022109164 0.03187614 0.012687645 0.00508762 0.024276113 0.023522392 0.03426292 0.01215376 0.0078826705 0.0061867973 0.009547139 0.008636392 0.005370266 0.004962 0.005966962 0.004930595 0.0054644807 0.0042710886 6.3423824 0.0 0.0 0.0 9.0 1006080.0 1019904.0 1.0 0.0 75.0 1.0 1.0 0.0 1.0 0.0 1542294000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 274432.0 1024.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -636928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1447906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.981733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4852347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.340792 0.0 6.129181 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -636676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79162.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -273930.0 0.0 5848.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 355952.0 5848.0 372736.0 0.0 0.0 0.0 0.0 14084.0 380928.0 28.0 332016.0 0.0 0.0 0.0 0.0 24.0 332208.0 64.0 332048.0 0.0 0.0 304.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.32245553 0.018853081 0.019259982 0.008445458 0.015118634 0.009648076 0.016502097 0.0049280236 0.015407986 0.0064742477 0.0146484375 0.005343967 0.0030020254 0.0036259403 0.0027488426 0.002432364 0.0043945312 0.0064652055 0.005931713 0.0031828703 0.0019621672 0.0013111256 0.0032099972 0.0021520543 0.0036801938 0.0013020834 0.0012568721 0.0012749566 0.0011664496 0.0010217737 0.0009132668 0.002061632 0.0057779946 0.0009765625 0.001473886 0.0023328993 0.0009132668 0.00094943575 0.0029929832 0.0008499711 0.006410952 0.001401548 0.0033004195 0.0013292101 0.0013382523 0.0012387877 0.0020887586 0.00076859083 0.0034450954 0.0017451533 0.001066985 0.0011393229 0.0014105903 0.0008951823 0.0011393229 0.0011393229 0.0011845342 0.0010127315 0.0008770978 0.0017089844 0.000958478 0.0014196326 0.0006510417 0.00094039354 0.0013563368 0.007857711 0.004313151 0.010461878 0.0081380205 0.011691623 0.00390625 0.0049189813 0.0031828703 0.010489005 0.0005787037 0.0016999422 0.007514106 0.0060311775 0.008291739 0.008056641 0.0052897134 0.0009132668 0.0074598524 0.0107421875 0.011040581 0.0035897715 0.012469256 0.0023057726 0.0024685329 0.0024233218 0.0015643084 0.0008499711 0.0012207031 0.0012387877 0.0007776331 0.0031919125 0.0013382523 0.013011791 0.0036530672 0.0060583046 0.005606192 0.023247613 0.0019079138 0.0063114874 0.0039333766 0.010588469 0.0008318866 0.0016637732 0.009548611 0.0065013743 0.00906033 0.014775029 0.006700304 0.0007324219 0.012496383 0.008770978 0.016881872 0.0041413484 0.0012478299 0.0024594907 0.0015100549 0.0029658566 0.0008770978 0.0018174914 0.00066912617 0.0014829283 0.001030816 0.0006419994 0.014268663 0.0017270689 0.000994647 0.00055157696 0.0007052951 0.0005787037 0.0015010127 0.0002803096 0.0003978588 0.00074146414 0.0002622251 0.0011302807 0.000587746 0.0007052951 0.00025318286 0.0001989294 0.00076859083 0.00068721065 0.0008318866 0.0004159433 0.00048828125 0.00038881655 0.0021068433 0.000515408 0.0021520543 0.000587746 0.0004611545 0.0014648438 0.00055157696 0.00043402778 0.0011483652 0.00040690103 0.00068721065 0.0003978588 0.0023419415 0.0015371817 0.00044307002 0.00047019677 0.00018988716 0.00033456308 0.0004611545 0.0006510417 0.00018988716 0.00025318286 0.00068721065 0.00035264756 0.0003978588 0.0003797743 0.00038881655 0.0008409288 0.00035264756 0.00037073207 0.00060583046 0.00027126737 0.00025318286 0.00031647857 0.00068721065 0.0003978588 0.0004611545 0.00050636573 0.00050636573 0.0003797743 0.00037073207 0.00028935185 0.0006600839 0.00032552084 0.0003797743 0.0003978588 0.0021158855 0.00042498554 0.0007776331 0.00043402778 0.0007143374 0.00050636573 0.0004159433 0.0005787037 0.0005787037 0.00042498554 0.00043402778 0.00031647857 0.0012839988 0.00033456308 0.00037073207 0.00040690103 0.0008590133 0.00050636573 0.0003616898 0.0005244502 0.00050636573 0.00035264756 0.00031647857 0.0002983941 0.0006510417 0.00037073207 0.0003978588 0.0003978588 0.00074146414 0.00032552084 0.00030743633 0.00044307002 0.00063295715 0.00018988716 0.0002983941 0.0003616898 0.00061487267 0.000515408 0.00031647857 0.0003616898 0.00037073207 0.00020797165 0.00020797165 0.0005787037 0.00082284433 0.00048828125 0.00032552084 0.00018988716 0.00045211226 0.00037073207 0.00018988716 0.00033456308 0.00044307002 0.00048828125 0.00020797165 0.00028935185 0.0004611545 0.00022605613 0.0005787037 0.0016095197 0.093430564 0.0 0.0 9.126752e-06 0.0 0.0 0.0 0.0 0.0 1.8253504e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.009021794 3.1943633e-05 2.2816881e-05 0.0 2.2816881e-05 1.8253504e-05 0.0001140844 5.932389e-05 3.1943633e-05 1.3690128e-05 0.0 4.563376e-06 0.0 0.0 0.0 4.563376e-06 0.008770809 5.4760512e-05 0.000100394274 4.563376e-06 7.301402e-05 2.2816881e-05 0.00012777453 6.8450645e-05 2.2816881e-05 2.2816881e-05 1.8253504e-05 1.8253504e-05 1.8253504e-05 0.0 9.126752e-06 1.3690128e-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 0.016615253 3.650701e-05 0.00023729556 0.00041070385 0.006233572 0.0028429835 0.0010587033 0.0005019714 1.8253504e-05 0.0 9.126752e-06 1.8253504e-05 1.8253504e-05 0.0 2.7380256e-05 9.126752e-06 0.01926201 0.001090647 0.0005932389 0.00030574622 0.028174285 0.014589113 0.00018253505 0.00037876022 0.00016884491 3.650701e-05 9.1267524e-05 0.00018253505 8.2140774e-05 8.2140774e-05 9.126752e-06 0.0001916618 0.0028566734 0.0 4.563376e-06 2.7380256e-05 0.017486857 0.008309908 0.0064115436 0.0022862514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050785813 0.0013188157 0.0014100833 0.0019987589 0.018308265 0.01238044 0.06689909 0.029917493 0.0006708163 0.0010860835 0.0003239997 0.00034681658 0.0004198306 0.00039245034 0.00034225322 0.00031487294 0.08377902 0.0078353165 0.0042439396 0.0025874344 0.014726015 0.008214077 0.027156651 0.014433959 0.0033403914 0.0017568999 0.0014146466 0.0013507593 0.0015378578 0.0014648438 0.0009993794 0.002728899 0.07110196 0.007894641 0.008483317 0.0024870401 0.004599883 0.004522306 0.009409682 0.009427935 0.0019941954 0.0013598861 0.001492224 0.0016154351 0.0020033221 0.0024459697 0.0009537456 0.0010495766 0.051712178 0.008565457 0.0067218533 0.0053528403 0.0040614046 0.0029296875 0.003869743 0.005092728 0.0033449547 0.002792786 0.0025418005 0.0011819145 0.0011271539 0.0011225905 0.001309689 0.0010769567 0.034056477 0.006210755 0.0045953197 0.0043032635 0.0034636026 0.004015771 0.0019485616 0.0016610689 0.004682024 0.0023318853 0.0015150409 0.0010450132 0.0020443925 0.0010860835 0.0010358864 0.0007712106 0.0231135 0.008579147 0.007949402 0.0034362222 0.0021858572 0.010308667 0.0018344772 0.0011317172 0.010819765 0.0040933485 0.0024414062 0.0012823087 0.0023045049 0.00141921 0.0018390405 0.0013735762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2221.0 12.441242 27632.0 0.0005066589 3.6189926e-05 0.0 0.00010856977 0.00021713955 0.0 0.0 0.0 3.6189926e-05 0.0 0.0001447597 0.0 0.0001447597 0.0008685582 0.003365663 0.0 0.0058989576 0.00065141864 0.0010856978 0.0006152287 0.0006152287 0.0001447597 0.0004342791 0.0001447597 0.00018094962 0.0 0.0 0.00010856977 3.6189926e-05 0.00021713955 3.6189926e-05 0.0 3.6189926e-05 0.027359582 0.011327446 0.03506804 0.024717718 0.0431022 0.011074117 0.0123407645 0.009481761 0.036407065 0.0002895194 0.0040894616 0.021677764 0.020302547 0.02920527 0.028011002 0.016357847 0.0005066589 0.026744355 0.036117546 0.039700348 0.011399826 0.0059713377 0.006731326 0.005247539 0.0051751593 0.001881876 0.00018094962 3.6189926e-05 0.0 0.0 0.008975102 7.237985e-05 0.040568907 0.008034163 0.016538795 0.016032137 0.078351185 0.0040532714 0.01968732 0.009916039 0.03275188 0.00079617836 0.001990446 0.02913289 0.020773016 0.02887956 0.034995656 0.010567458 0.0004342791 0.032064274 0.026346264 0.05703532 0.012015055 0.0031485234 0.0070570353 0.0031123336 0.008504632 0.001881876 0.0 0.0 0.0 0.0 0.0001447597 5.3000245 0.0 0.0 0.0 1.0 110592.0 122880.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1416497900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 98304.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 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 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1876936 0.0 3.2775047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94356.0 0.0 832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 102460.0 832.0 106496.0 0.0 0.0 0.0 0.0 12.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2807341 0.003344266 0.0032613503 0.0028099203 0.0033811172 0.002773069 0.0028744105 0.0028744105 0.003206073 0.0027270047 0.0025703863 0.0026348762 0.003160009 0.0026164504 0.002699366 0.0025058961 0.003979953 0.003077093 0.0026348762 0.0027454305 0.003335053 0.0027638562 0.0024414062 0.0021189563 0.0030033903 0.0028467719 0.002699366 0.0029112617 0.0034640331 0.0030955188 0.0027638562 0.0028744105 0.0042287 0.0028651976 0.004597214 0.003077093 0.0032244988 0.0029020489 0.0033074145 0.002459832 0.002782282 0.0022387234 0.002644089 0.0028099203 0.003086306 0.002644089 0.0030494547 0.0024414062 0.006237102 0.0055000735 0.005859375 0.005923865 0.0054632225 0.0039983788 0.004154997 0.0040075914 0.00429319 0.0044498085 0.004201061 0.0038693985 0.0058501624 0.0044498085 0.004283977 0.0038970371 0.005794885 0.004855174 0.004597214 0.0039154626 0.0058778008 0.0044958727 0.0043024025 0.00397074 0.0043945312 0.004219487 0.003768057 0.003657503 0.00455115 0.004366893 0.0042287 0.0037864828 0.0038693985 0.004892025 0.0031415832 0.003150796 0.0029849645 0.0031968602 0.0027546433 0.0026072375 0.0030955188 0.0028651976 0.0028007075 0.0023861292 0.0043853186 0.003952314 0.0026256633 0.0024966833 0.0031968602 0.0039338884 0.0027177918 0.0031231574 0.0035100973 0.0045142984 0.0028467719 0.002966539 0.0026256633 0.0036390773 0.0026256633 0.0021742336 0.0038325472 0.0025703863 0.0032244988 0.0035008844 0.002459832 0.0024137676 0.003657503 0.0030126031 0.0034732458 0.0029573261 0.0027454305 0.002266362 0.0025795992 0.0025795992 0.0024045547 0.002266362 0.0030126031 0.0036114387 0.0034548203 0.0025611734 0.0036390773 0.0019715508 0.0019254865 0.002330852 0.0022387234 0.0019807636 0.0019899765 0.0017872936 0.002275575 0.0021005305 0.0020544664 0.0022847878 0.0022847878 0.0024229805 0.0019162736 0.0016675266 0.0026717277 0.0022202977 0.0021926593 0.0018794222 0.0020544664 0.0020544664 0.0018702094 0.0016491008 0.0019254865 0.0017780808 0.0021005305 0.0020360406 0.002008402 0.0020360406 0.002008402 0.0019439121 0.0025795992 0.0024137676 0.0032705632 0.003335053 0.0027177918 0.0018609965 0.0022940007 0.0017135908 0.0017965065 0.0019439121 0.0019162736 0.0016859522 0.0021005305 0.002330852 0.0034548203 0.002091318 0.0023677035 0.0020452535 0.0017780808 0.0018241451 0.002275575 0.0021650207 0.0021189563 0.0020452535 0.0024229805 0.0018241451 0.0017780808 0.0025519605 0.002008402 0.0020452535 0.0018149322 0.0018517836 0.0036298644 0.0023032133 0.0023769164 0.0033258402 0.0018702094 0.0014279924 0.0021742336 0.0018425707 0.0024966833 0.0021926593 0.002137382 0.0020268278 0.0022387234 0.0021097434 0.0019807636 0.0021097434 0.002515109 0.0024414062 0.0019623379 0.0016859522 0.0025519605 0.002082105 0.0022479363 0.0019807636 0.0029481133 0.002524322 0.002201872 0.0021834464 0.0022847878 0.0032705632 0.0024321934 0.0018425707 0.0029389004 0.002321639 0.0017412293 0.0017504422 0.0024137676 0.0019254865 0.0019346992 0.0022847878 0.0025519605 0.003399543 0.0022847878 0.0023032133 0.0022387234 0.0017320166 0.0020268278 0.002515109 0.002137382 0.0016951651 0.002008402 0.0016583137 0.0021742336 0.0015569723 0.0017504422 0.0018241451 0.0022110848 0.0018609965 0.0019623379 0.0017596551 0.0023124262 0.0020268278 0.002082105 0.009323408 0.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015048363 0.00021391369 0.00034877233 9.3005954e-05 0.0005719866 4.6502977e-05 0.00032087055 0.00055803574 0.00066499255 4.6502977e-05 0.00032552084 4.6502977e-05 0.00026506698 1.3950893e-05 0.00045572917 2.7901786e-05 0.015601749 0.0 4.650298e-06 0.016038876 0.015857514 4.650298e-06 8.835566e-05 2.3251489e-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 0.0023716518 5.1153274e-05 6.510417e-05 0.004501488 0.001781064 2.3251489e-05 0.00016741072 0.00017206102 1.3950893e-05 2.3251489e-05 6.045387e-05 4.185268e-05 2.7901786e-05 0.0 0.00018136161 4.185268e-05 0.007942708 0.00014415923 0.00018601191 0.0023670015 0.0031203497 0.0004092262 0.0023065477 0.001171875 0.00013020834 0.0002092634 0.00018136161 0.00014415923 0.00022321429 0.00018136161 0.00011160714 0.00021856399 0.007733445 0.0011300223 0.00036272322 0.00046968006 0.001655506 0.0007114955 0.0036132813 0.0017671131 0.00026506698 0.0001999628 0.0001953125 0.00013020834 0.00023251488 0.00015345983 0.00016276042 0.00026506698 0.011411831 0.0001999628 0.0009254092 0.00067429314 0.0019484747 0.0010742188 0.001781064 0.00047898066 0.0010277157 0.00051618303 0.000953311 3.7202382e-05 0.0009300595 0.0006417411 0.0012416295 0.004729353 0.010258556 0.0029622396 0.0014834449 0.0051850816 0.0026413691 0.0009626116 0.002952939 0.003655134 0.001422991 0.00044642857 0.0007114955 0.0005998884 0.0006231399 0.0008184524 0.0024321056 0.0009393601 0.0021530879 0.00043247768 0.0009719122 0.0009254092 0.0013020834 0.0017717634 0.00050688244 0.00031622025 0.00011625744 0.00013950893 0.00017206102 0.00011160714 0.00016276042 0.00013485864 0.00014415923 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04628441 0.04198754 0.04435454 0.04688895 0.042433966 0.046628535 0.039578684 0.03767671 0.03154762 0.03108259 0.035146948 0.032087054 0.034095984 0.035556175 0.031966146 0.032207962 1276.0 7.311912 9330.0 0.004823151 0.0034297963 0.024008574 0.0041800644 0.004608789 0.0052518756 0.0122186495 0.0038585209 0.00471597 0.0041800644 0.0045016077 0.003965702 0.0034297963 0.0043944265 0.006430868 0.004287245 0.024222936 0.023794211 0.026152197 0.023687031 0.02165059 0.014255092 0.012968917 0.0122186495 0.013504823 0.012325831 0.010718114 0.012111468 0.031725615 0.012647374 0.012861736 0.01039657 0.0113612 0.019185424 0.013933548 0.014040729 0.026580922 0.015326902 0.013612004 0.016613076 0.012968917 0.015862808 0.010289389 0.010718114 0.015648445 0.0122186495 0.015541265 0.009967846 0.010182208 0.023794211 0.0066452306 0.007824223 0.005573419 0.0050375136 0.005573419 0.00471597 0.0073954985 0.004608789 0.0050375136 0.0036441586 0.0122186495 0.014255092 0.0041800644 0.004287245 0.005573419 0.014255092 0.0058949627 0.009110397 0.012325831 0.027224008 0.0045016077 0.0068595926 0.0052518756 0.014898178 0.0049303323 0.0045016077 0.014362272 0.0060021435 0.0113612 0.013933548 0.005359057 0.0036441586 0.014790997 0.011146838 0.015862808 0.00846731 0.004287245 0.003965702 0.0043944265 0.0073954985 0.0041800644 0.0027867095 0.0045016077 0.0041800644 0.0077170418 0.003965702 6.3174677 0.0 0.0 0.0 2.0 108544.0 163840.0 0.0 0.0 96.0 0.0 1.0 0.0 0.0 0.0 1000245060.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 6.0 4.0 5.0 0.0 4.0 0.0 10240.0 1024.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118381.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.711227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2894754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.357273 0.0 3.7398207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118381.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10006.0 0.0 3384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 5964.0 3384.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.43818837 0.0054726326 0.0038733992 0.005142632 0.0038801187 0.0019329666 0.0013827169 0.001181133 0.006165484 0.0011042324 0.0012005448 0.0010265852 0.0031783078 0.001557423 0.0014431921 0.0035568378 0.003409756 0.0015783281 0.0028229225 0.0007742319 0.0013745043 0.0015148665 0.0005562225 0.0005368107 0.0012050244 0.00059280626 0.00049500074 0.00065850775 0.0010840739 0.00050619984 0.0006607476 0.00064730865 0.0027393026 0.00046065677 0.00057712756 0.0005442768 0.0030103212 0.00092131353 0.0005069464 0.00055696914 0.0013438934 0.0008347071 0.0007570599 0.0014252736 0.0025347322 0.0011199111 0.0008802501 0.00072047615 0.0032268371 0.0018530797 0.0018568126 0.005598809 0.0020569034 0.0015133732 0.0018762244 0.001768713 0.0026355241 0.00168136 0.0015783281 0.0022696864 0.0020188265 0.0017985773 0.0012445946 0.0012281692 0.0038995305 0.0017358622 0.0016552287 0.002006134 0.003288059 0.016417151 0.0032985115 0.0010982595 0.0013565856 0.0012423547 0.0006652272 0.0007622862 0.0016873328 0.002656429 0.0008518791 0.0008033496 0.0075661195 0.0017530342 0.0010683952 0.0023951165 0.0016164051 0.0072771823 0.0019172878 0.0013991423 0.0017470614 0.00302376 0.0018463602 0.0015783281 0.0013058163 0.0020382383 0.0011736669 0.0009362457 0.0010639156 0.0013200019 0.0007085304 0.00096760324 0.0043206173 0.0023831709 0.0012878978 0.00081380206 0.004881319 0.0016574685 0.0042698476 0.00074138114 0.0020621298 0.00097432267 0.0015813145 0.0015133732 0.0013020834 0.0006196842 0.001654482 0.0012871511 0.004166816 0.004566251 0.0008802501 0.0008571053 0.0012737123 0.0010049336 0.0005890732 0.00047708213 0.0012677393 0.0012386217 0.00077124545 0.00058310037 0.002251768 0.0016022195 0.0005121727 0.004915663 0.0025645965 0.009258678 0.00051814556 0.0004890279 0.0012221964 0.0052344645 0.00085113244 0.024371507 0.0012087574 0.016774775 0.0005480098 0.00049948035 0.001369278 0.00042332642 0.0004972405 0.0004106341 0.001021359 0.002331655 0.00046662963 0.00048753465 0.0013319476 0.0006771729 0.0004614034 0.00047036266 0.0011378297 0.0005509963 0.0004210866 0.00047558892 0.0009959743 0.0018709982 0.00032776064 0.0006689602 0.0012199566 0.00043975178 0.00041511373 0.00041959336 0.00092504657 0.00041810016 0.0004711093 0.00040839426 0.0011669474 0.00036733085 0.00044796444 0.00048678805 0.0013565856 0.0006361095 0.0005024668 0.0006831458 0.0010788477 0.0008929425 0.00043228568 0.00052785146 0.004292246 0.0016992785 0.0050918628 0.0005950461 0.0011520153 0.0007428744 0.0006525349 0.000583847 0.006694082 0.0008294808 0.0009466982 0.0038203902 0.0018471067 0.0004106341 0.001671654 0.0013558391 0.001779912 0.0013252281 0.00043975178 0.0007257024 0.0012356353 0.00035613173 0.0005465166 0.0007197295 0.0016604549 0.00057488773 0.0012431013 0.00065029506 0.001365545 0.00043452551 0.0006540281 0.00055846234 0.0026997323 0.000524865 0.00052113197 0.0013625586 0.0014991877 0.00050619984 0.0005808606 0.00041735356 0.0021674014 0.0005480098 0.00045692374 0.00074660743 0.0019635775 0.0010527165 0.0004546839 0.00043900515 0.02515619 0.0017530342 0.0005644352 0.0023898904 0.0031297782 0.00051963876 0.00047708213 0.00046737623 0.0030454115 0.00052934466 0.00061595114 0.0005636886 0.0027729 0.00044796444 0.00084142655 0.0020031477 0.004267608 0.00076303276 0.0023921302 0.005404691 0.00906904 0.005842203 0.006757544 0.06811822 0.34736037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007109405 0.0 0.0 3.1007916e-05 1.4943573e-05 3.7358933e-07 6.3510183e-06 1.4943573e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014099261 1.4943573e-05 1.04605015e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 2.9887146e-06 1.8679466e-06 2.9887146e-06 5.2302507e-06 7.4717864e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020383033 1.9426645e-05 3.2128683e-05 1.120768e-05 1.9053055e-05 1.1954859e-05 4.0721236e-05 1.75587e-05 2.6524842e-05 2.6151254e-06 1.8679466e-06 7.4717864e-06 1.3449216e-05 7.4717864e-06 3.7358932e-06 4.1842006e-05 0.0025303205 2.1294592e-05 3.399663e-05 2.3909717e-05 0.00014084317 6.201583e-05 6.351018e-05 3.250227e-05 5.9774293e-06 1.4196395e-05 5.60384e-06 2.3536128e-05 1.681152e-05 3.362304e-06 2.9887146e-06 7.957453e-05 0.0024096512 0.00010796732 5.006097e-05 4.8193022e-05 4.9313792e-05 2.241536e-05 4.8566613e-05 2.6898431e-05 3.250227e-05 2.0547413e-05 1.5317162e-05 3.437022e-05 3.2128683e-05 2.0921003e-05 1.3822805e-05 0.00012776755 0.0022217357 3.5864574e-05 3.175509e-05 5.7159166e-05 0.00010647296 8.181606e-05 0.00016288494 0.00016811519 8.2189654e-05 6.724608e-06 4.4830717e-06 9.7133225e-06 3.287586e-05 2.0173824e-05 9.7133225e-06 2.8766379e-05 0.0010849034 4.0721236e-05 5.2302505e-05 3.4743807e-05 4.8193022e-05 2.0921003e-05 3.885329e-05 1.6064341e-05 4.0347648e-05 2.9887146e-06 1.0086912e-05 1.6064341e-05 1.8679466e-05 1.120768e-05 4.6325076e-05 4.7819434e-05 0.0024358025 4.408354e-05 8.293683e-05 0.00027421457 0.00070832536 0.00042551826 0.0022643248 0.0011966067 4.9313792e-05 1.2702037e-05 1.4943573e-05 1.681152e-05 4.8566613e-05 1.643793e-05 1.9053055e-05 4.1468415e-05 0.003117603 0.00025964458 0.00044868077 0.0014708212 0.0023173746 0.0014046959 0.0020181295 0.0013822805 0.00013523933 4.968738e-05 5.566481e-05 9.78804e-05 7.808017e-05 5.006097e-05 4.7819434e-05 7.3223506e-05 0.0033014088 0.00011618628 0.00023835 0.0003676119 0.0008898898 0.0004755792 0.0006336075 0.0004158049 0.0006392113 0.00023311975 7.733299e-05 0.00012888832 0.00014794138 9.414451e-05 0.00024395384 0.0011783007 0.0060263695 0.0011222623 0.0013602388 0.013448468 0.0013841485 0.0011252511 0.0019770346 0.0015814037 0.0022620833 0.001108066 0.0011704554 0.0012765548 0.0011304813 0.0011439305 0.0017592321 0.0057353433 0.013468643 0.001545539 0.002279642 0.002321484 0.0038356415 0.0028385317 0.0024746556 0.001806678 0.010163497 0.002143282 0.0012365807 0.00257814 0.0020771567 0.0013269893 0.0038928008 0.017931167 0.045921974 0.006417144 0.006318516 0.006585259 0.01588614 0.013788808 0.008903007 0.0072069117 0.030202456 0.0046519344 0.0034945547 0.008078869 0.00921346 0.005653527 0.01776193 0.0470999 0.0454718 0.008438262 0.00775422 0.009293035 0.017734285 0.018126555 0.011654866 0.008421824 0.028916935 0.004024678 0.004731509 0.008394179 0.011630956 0.0066756676 0.018200524 0.040721983 0.00043896746 0.00024059153 0.0002491841 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00027159945 0.00023984435 0.00031344144 0.00041057466 3819.0 14.796282 56507.0 0.016192684 0.0012387845 0.0023182968 0.0015219353 0.002512963 0.0012210876 0.001822783 0.0029376892 0.005539137 0.0048666536 0.0015396322 0.005963863 0.0028669015 0.0019643584 0.009927973 0.007025678 0.017413773 0.01707753 0.019572796 0.017219106 0.013732811 0.012617906 0.015290141 0.015679473 0.015891837 0.014458385 0.010370397 0.015714867 0.010901304 0.012334755 0.00989258 0.0073619196 0.0031500522 0.012547118 0.006193923 0.010494275 0.011839241 0.011326031 0.009220096 0.010158033 0.0062824073 0.011503 0.0044242307 0.0061408323 0.00879537 0.00833525 0.008830764 0.007238041 0.011449909 0.027005503 0.008636098 0.017413773 0.010653547 0.007468101 0.009273187 0.012281665 0.008512219 0.008441432 0.007078769 0.005220592 0.0044419277 0.004955138 0.0046896846 0.004778169 0.002477569 0.020917762 0.007238041 0.014706142 0.017679226 0.045127153 0.009131612 0.010706638 0.012051605 0.02208576 0.005680712 0.008972339 0.025872901 0.012175483 0.023236059 0.024970358 0.009397066 0.004583503 0.025554355 0.01851098 0.030049374 0.0133080855 0.008777673 0.008972339 0.0071141627 0.011290637 0.005733803 0.0028492045 0.0015219353 0.0031146584 0.0015396322 0.00088484614 6.2508793 0.0 0.0 0.0 68.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6630297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.66034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3411727 0.0 0.0 0.0 0.0 0.0 0.0 -3.8441799 6.7831097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6280.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.21347496 0.015424885 0.0064437115 0.011798796 0.0074362834 0.008917136 0.003658107 0.008028625 0.0074763065 0.007060067 0.0033139088 0.0066758455 0.00524302 0.0064277025 0.0026014985 0.012855405 0.0054991674 0.0058753844 0.0024894339 0.005387103 0.021492379 0.010622119 0.0026415216 0.0051709786 0.0030737706 0.005403112 0.002137231 0.004762743 0.0029216828 0.0045706327 0.0028416368 0.004506596 0.008797067 0.0081486935 0.0034980148 0.004506596 0.0046746926 0.004602651 0.0016169314 0.0037381533 0.00256948 0.0033619364 0.0015608991 0.004402536 0.002425397 0.0037781761 0.0021612449 0.0037701717 0.002505443 0.003658107 0.0020651896 0.0063236426 0.001664959 0.006187564 0.0013207608 0.0032978996 0.0025214523 0.0045386143 0.0025934938 0.0058273566 0.0022332864 0.0032018442 0.0015689037 0.0033699411 0.0029937243 0.004090356 0.0014968622 0.004154393 0.0023133324 0.012551229 0.0033379227 0.0035220287 0.0021132173 0.0030257427 0.0011286502 0.0026175077 0.0018730789 0.0047867573 0.0016489498 0.0028656507 0.0075803665 0.003474001 0.0013447746 0.007340228 0.002201268 0.0050349003 0.004418545 0.0060354765 0.0021292265 0.004626665 0.0009925717 0.0028496415 0.0017289959 0.00390625 0.0021212217 0.0033139088 0.0010646132 0.0048267804 0.00088050717 0.003514024 0.0037461577 0.007980597 0.0022492956 0.0027856044 0.0062756147 0.004754739 0.0058753844 0.002097208 0.0040983604 0.0029216828 0.0035700563 0.005162974 0.003353932 0.0021612449 0.004466573 0.0047307247 0.011014344 0.0115586575 0.0018890881 0.0031618213 0.0015128714 0.0025374615 0.00076043804 0.0015208761 0.004090356 0.004498591 0.0012647285 0.001480853 0.004770748 0.0021532404 0.00063236424 0.009421427 0.0033139088 0.006411693 0.0007124104 0.0013287654 0.0018890881 0.0072041494 0.0030737706 0.012511207 0.0008404841 0.0062756147 0.0007364242 0.0014088114 0.0010405994 0.0012247055 0.00041623975 0.0011126408 0.00080046104 0.0010726178 0.0006883965 0.0011046362 0.00063236424 0.0013047515 0.00047227202 0.0013127561 0.0005603227 0.0010245901 0.00043224898 0.0009845671 0.0018330559 0.0014968622 0.00042424435 0.0025854893 0.0005923412 0.00088050717 0.00033619365 0.00093653944 0.0008404841 0.00092853484 0.00039222592 0.0012727331 0.0006964011 0.0009685579 0.0003682121 0.00092853484 0.0008244749 0.0006964011 0.00025614753 0.00064036885 0.0006803919 0.0008164703 0.0018410605 0.0011206454 0.0006803919 0.0006883965 0.00032018442 0.00078445184 0.0005443135 0.0006803919 0.0006643827 0.0007444288 0.0057393056 0.0018570697 0.0008965164 0.0025854893 0.0028896644 0.0005843366 0.0018010373 0.0020892033 0.0013287654 0.0018090421 0.00043224898 0.0006083504 0.00065637805 0.0007044057 0.0003762167 0.0006883965 0.006964011 0.012142994 0.0007044057 0.0006723873 0.0005923412 0.00040023052 0.0022492956 0.0006723873 0.001152664 0.0005843366 0.00023213371 0.0009685579 0.00080046104 0.00050429045 0.000288166 0.00061635504 0.0018570697 0.0006883965 0.00027215676 0.00040823515 0.0009685579 0.00032018442 0.00023213371 0.00033619365 0.005859375 0.0021612449 0.00031217982 0.003329918 0.0023613602 0.0003762167 0.00039222592 0.00041623975 0.0019851434 0.0005443135 0.0002961706 0.0003762167 0.0020491802 0.0003602075 0.0015849129 0.00091252563 0.0042664576 0.001624936 0.0006643827 0.0009685579 0.002305328 0.0012167008 0.0014328253 0.03205046 0.0661157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007663191 1.2106147e-05 2.8247676e-05 7.263688e-05 7.263688e-05 0.000104919935 0.00017755682 9.684917e-05 0.0 0.0 0.0 0.0 8.070764e-06 4.035382e-06 4.035382e-06 2.017691e-05 0.014817923 0.00039143208 0.0001129907 0.00010895532 0.00015334453 0.00016545068 0.0002703706 0.00018966297 7.6672266e-05 2.8247676e-05 3.631844e-05 3.2283056e-05 4.8424587e-05 3.631844e-05 2.4212293e-05 3.631844e-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 0.0501598 0.001097624 0.0022033188 0.00080707646 0.0008151472 0.001045164 0.00496352 0.006589779 0.002344557 0.0010249871 0.00074654573 0.0004802105 0.00035511365 0.00055688276 0.0004317859 0.0007586519 0.022323735 4.035382e-06 0.0028368738 0.001129907 0.0025543969 0.0020378681 0.011960873 0.0066180266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000121061465 0.02248515 0.0012065793 0.002828803 0.0019450543 0.0023042033 0.0019127711 0.009164353 0.0054235538 0.00042775052 0.0002703706 0.00029861828 0.00022194603 0.00023001678 0.00030265367 0.00017755682 0.0003873967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035874548 0.0019127711 0.0012550039 0.0010855178 0.00037125516 0.0004075736 0.001097624 0.0005205643 0.00037125516 0.00023808755 0.0006779442 0.00021791064 0.00030265367 0.002175071 0.0006133781 0.0016948605 0.094016336 0.049481858 0.038550008 0.033437178 0.032896437 0.02618156 0.020156734 0.021811241 0.028271887 0.010548489 0.00913207 0.0072152633 0.010027925 0.005774632 0.006371869 0.011085195 0.04326333 0.03419583 0.015253745 0.013926104 0.014926879 0.02693214 0.01383329 0.01847398 0.03083839 0.0020015496 0.004321894 0.0036520208 0.013736441 0.019837938 0.0124088 0.038182788 0.0009160318 0.0011258717 0.0005003874 0.00035511365 0.0004802105 0.00040353823 0.0003187952 0.00044792742 0.00066987344 4.8424587e-05 0.00023001678 0.00014930914 0.00046003357 0.0010209517 0.00037529055 0.00076268724 834.0 8.742207 7291.0 0.01728158 0.009738034 0.0043889727 0.01042381 0.006171993 0.009463723 0.0050747497 0.008092169 0.0050747497 0.007132081 0.003428885 0.008229324 0.004114662 0.012069675 0.010560965 0.009875189 0.0060348376 0.0115210535 0.0074063917 0.011246743 0.004114662 0.008229324 0.004800439 0.0072692363 0.00685777 0.012755452 0.0074063917 0.009326567 0.005897682 0.008777945 0.0032917296 0.009600878 0.0037031958 0.0145384725 0.004114662 0.012481141 0.006583459 0.019476067 0.0074063917 0.011246743 0.0063091484 0.011383898 0.0026059526 0.0075435466 0.005897682 0.00864079 0.0057605268 0.00864079 0.0115210535 0.010560965 0.0075435466 0.019750377 0.01220683 0.010286654 0.009738034 0.018378824 0.0069949254 0.0069949254 0.0035660404 0.0057605268 0.0042518172 0.008229324 0.0031545742 0.008092169 0.0019201755 0.02647099 0.003428885 0.018378824 0.016047182 0.06350295 0.0057605268 0.008229324 0.01220683 0.024687972 0.0037031958 0.006171993 0.02413935 0.015087093 0.02441366 0.025785215 0.014812783 0.0046632835 0.032917295 0.022630641 0.043752573 0.017693046 0.004114662 0.0056233713 0.005486216 0.009463723 0.0030174188 0.0028802634 0.0028802634 0.0050747497 0.0030174188 0.0030174188 6.204073 1.0 0.0 0.0 7.0 124928.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.518069 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557308 0.0 2.2210476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0