Input: 0.010888385 0.0041670213 0.0042815562 0.004041493 0.0039865244 0.003940751 0.003892778 0.0040566847 0.0038949768 0.003951145 0.0039377525 0.0038967757 0.003997918 0.0038983747 0.0038514016 0.0039623384 0.0048524304 0.0038196198 0.003852601 0.0038398083 0.003831413 0.003904771 0.0038498025 0.0038366101 0.0038456048 0.0038306136 0.0039875237 0.0038278152 0.0038240172 0.0038168214 0.0038216186 0.003817421 0.0041508307 0.003831413 0.0038292143 0.0038002308 0.0039233607 0.0038508018 0.0038430064 0.0038180207 0.0037944342 0.0038404078 0.0038406078 0.0038336117 0.0038414074 0.0038478037 0.0038567986 0.0038330122 0.003859597 0.0038512016 0.003842207 0.003966336 0.0038827837 0.0037866386 0.003826016 0.0037968329 0.0038831835 0.003917164 0.003815422 0.0038318129 0.0038012303 0.0038615959 0.003835011 0.0038468041 0.0042635663 0.004045691 0.0038218184 0.0038641943 0.0038679922 0.004040294 0.003792835 0.0038530007 0.0038466044 0.0038585975 0.0038416071 0.0038238175 0.0038002308 0.003917164 0.0037944342 0.0038040287 0.0040225037 0.0038727894 0.0038324124 0.0039153653 0.0038643943 0.0039027722 0.0039163646 0.003880585 0.0037986317 0.0038510018 0.003826216 0.0038743885 0.0038549996 0.0038705906 0.0038757876 0.0038597968 0.003850402 0.0039041715 0.003845205 0.0038949768 0.004015508 0.0040356964 0.003975331 0.0039051708 0.0039147655 0.0038741885 0.003857798 0.0038380092 0.003933155 0.003931356 0.0038867814 0.003967935 0.003850402 0.0038110246 0.003971733 0.003876987 0.00406448 0.0039597396 0.003843806 0.0038180207 0.0038739888 0.0038226182 0.003823018 0.0038777865 0.003855999 0.0038468041 0.0038603966 0.0038442058 0.004574589 0.0038330122 0.0038134232 0.0040181065 0.0038444055 0.003896376 0.003878586 0.0038442058 0.0038773867 0.004062081 0.0038236175 0.0043433206 0.0038446055 0.003967735 0.0038042285 0.0038200195 0.0039725327 0.0038569984 0.003794634 0.003803629 0.003840208 0.00381902 0.0038352108 0.0038196198 0.0038406078 0.0038492028 0.003842207 0.003814023 0.003859397 0.0038753878 0.003800031 0.003805028 0.0038689915 0.0038494028 0.0037714473 0.0037950338 0.003849003 0.003768649 0.00380163 0.0038130234 0.0037786432 0.003807027 0.0038040287 0.0038669927 0.0038545998 0.0037970326 0.0038551996 0.0038621954 0.0038703908 0.0038096255 0.0038110246 0.0037980322 0.0038148225 0.003805228 0.003868392 0.0038625952 0.0038789858 0.0038464044 0.0038256163 0.0037780434 0.003793235 0.0038214186 0.0038146225 0.0038767871 0.0040340973 0.0038849826 0.003829814 0.004006313 0.0039035717 0.0038290145 0.0038731892 0.0038464044 0.0038046283 0.0038338117 0.0037886375 0.0037976324 0.0038723897 0.003826016 0.0038136232 0.0038054278 0.0038460046 0.0038118241 0.0038194198 0.0038418071 0.003826016 0.0038356106 0.003859397 0.0038232177 0.0038424067 0.0038148225 0.0038068271 0.0038286147 0.003810425 0.003845205 0.003848803 0.0038547998 0.0038649938 0.0037682492 0.003864794 0.0037606533 0.0038416071 0.003820819 0.0038158218 0.003800031 0.004111453 0.0038356106 0.0038416071 0.0038835832 0.0038500023 0.0038969757 0.0038555993 0.0038058276 0.004027701 0.0038448053 0.0038310133 0.003799831 0.0038502023 0.0038152223 0.0038607963 0.0038903793 0.0039073694 0.0038026294 0.0038657933 0.0038635947 0.0038949768 0.003885782 0.0038530007 0.0048038578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018735444 1.7395769e-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 0.00027843227 0.00013106813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002035405 0.00096356566 4.698857e-06 4.798833e-06 7.1982495e-06 4.698857e-06 7.998055e-06 2.899295e-06 0.0004127996 1.9995136e-06 3.799076e-06 7.1982495e-06 4.099003e-06 1.7995624e-06 3.8990515e-06 1.3896621e-05 0.00068443356 6.298468e-06 7.698128e-06 9.197763e-06 3.2392123e-05 1.9395284e-05 6.698371e-06 5.09876e-06 0.00017405767 1.8695453e-05 1.9995136e-06 2.409414e-05 2.7993192e-06 2.1994651e-06 2.899295e-06 2.5793726e-05 0.00059805455 1.4196547e-05 1.1797131e-05 1.3196791e-05 6.488422e-05 7.2982252e-06 3.2991977e-06 5.298711e-06 6.5983954e-06 2.3994164e-06 1.1997082e-06 4.0190225e-05 2.1994651e-06 1.299684e-06 3.6991005e-06 4.338945e-05 0.0005641628 4.3989303e-06 4.6288744e-05 3.6991005e-06 3.24921e-05 1.7495746e-05 0.00016126079 8.877841e-05 3.8490638e-05 5.1987357e-05 1.7995624e-06 2.899295e-06 2.0994894e-06 1.4996352e-06 1.299684e-06 5.09876e-06 0.00053257047 4.3989303e-06 3.059256e-05 1.1397228e-05 4.938799e-05 5.308709e-05 0.00016545976 8.437948e-05 5.2787163e-05 3.8990515e-06 2.2994407e-06 2.4993922e-06 5.8985656e-06 2.899295e-06 9.397714e-06 1.2796888e-05 0.0007558162 5.078765e-05 0.00012247021 5.008782e-05 7.0882765e-05 5.1987357e-05 0.00025453808 0.00012257019 2.9192901e-05 4.5388962e-05 9.997569e-06 8.997812e-06 1.3896621e-05 7.1982495e-06 7.4981763e-06 3.6691075e-05 0.0008684888 5.1287527e-05 5.978546e-05 6.158502e-05 0.00012157043 4.148991e-05 0.00018505499 0.000103774764 2.5793726e-05 0.00010497447 1.089735e-05 3.599125e-05 3.2792024e-05 1.2896863e-05 3.429166e-05 9.207761e-05 0.0002688346 3.199222e-06 8.597909e-06 3.639115e-05 7.0982737e-06 4.698857e-06 3.3291904e-05 2.3994164e-05 3.2392123e-05 3.449161e-05 2.899295e-06 9.49769e-06 3.8990518e-05 4.8988086e-06 2.7293363e-05 7.768111e-05 0.00035891272 2.7793241e-05 6.718366e-05 5.8085872e-05 0.00011457213 4.0690105e-05 7.818099e-05 5.4886652e-05 4.4589156e-05 2.2294578e-05 1.4696426e-05 2.1894675e-05 2.5793726e-05 1.3196791e-05 2.5093897e-05 5.588641e-05 0.0007752115 8.09803e-05 9.987571e-05 9.777622e-05 0.00025583777 0.00018925397 0.0001266692 0.00015056338 0.0003532141 4.378935e-05 3.24921e-05 6.9783026e-05 0.00017655706 8.3579675e-05 0.00016056096 0.00037510876 0.0015211301 0.00023204357 0.00024973927 0.00030692536 0.00052607205 0.00057835935 0.00031872248 0.00035301415 0.000999257 0.00013566701 0.000116171745 0.00020155098 0.000501778 0.00026713504 0.00048148292 0.0009914589 0.06114213 0.06097537 0.061030857 0.060956974 0.060959473 0.06101586 0.061291795 0.061007563 0.061082844 0.060965873 0.06095078 0.060854502 0.060948078 0.060921084 0.0608647 0.061076347 23140.0 5.7605877 133300.0 0.012153038 0.009827456 0.010255064 0.00987997 0.0103075765 0.009504876 0.010585146 0.009407352 0.009594899 0.009984996 0.009789947 0.010277569 0.009744937 0.010285071 0.010645161 0.009887472 0.009707427 0.010435109 0.010090022 0.010622656 0.009954989 0.010165041 0.010472618 0.009774944 0.010345086 0.010172543 0.010255064 0.009797449 0.010487622 0.009984996 0.010165041 0.0103075765 0.010585146 0.010172543 0.010180045 0.010817705 0.009872468 0.011027757 0.010180045 0.010285071 0.01012003 0.010082521 0.01063766 0.010585146 0.010390097 0.01012003 0.00987997 0.010165041 0.010465116 0.010315078 0.009834959 0.010427607 0.01048012 0.010030008 0.010427607 0.010945236 0.009887472 0.010345086 0.009969993 0.010165041 0.010330083 0.009857465 0.010127532 0.010052513 0.010105026 0.0116054015 0.010577644 0.01128282 0.0110502625 0.0136009 0.010472618 0.010322581 0.009962491 0.011972994 0.010060015 0.010577644 0.011177794 0.010750188 0.011590398 0.012130532 0.010765191 0.01012003 0.01207802 0.011252813 0.011950487 0.010277569 0.010405101 0.010465116 0.0103075765 0.0109377345 0.010127532 0.009924981 0.010030008 0.009902475 0.010547637 0.01003751 6.5822144 1.0 1.0 0.0 81.0 5002854.0 163840.0 0.0 0.0 120.0 0.0 1.0 0.0 1.0 0.0 1437053000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 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 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.963501 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4580722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4045367 -5.013272 4.1387477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22200.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61748.0 -3536.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 -3.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 45568.0 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 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.108178474 0.009746433 0.005053323 0.004575745 0.006537728 0.0032500413 0.003346738 0.0035283212 0.006917133 0.00274589 0.0034139089 0.0025598782 0.0048791217 0.0028064176 0.001989294 0.0037844565 0.0055633797 0.0020011042 0.0021280649 0.001916956 0.0031179138 0.0024233218 0.0017855667 0.0018623335 0.0030381945 0.0019656734 0.0017892574 0.0018955499 0.002637383 0.0019044076 0.0015884826 0.0015478848 0.0072773467 0.001668202 0.0024934453 0.0020527742 0.005153711 0.0025930945 0.0017493977 0.0016527011 0.0026956964 0.0021037061 0.001756041 0.0025096845 0.0028639927 0.0020269393 0.0020107 0.0017132286 0.0030263842 0.0017523502 0.0021723532 0.006776886 0.0024410372 0.0017154431 0.0016467959 0.0016401525 0.0024786824 0.001699204 0.002424798 0.0028448012 0.0026240966 0.0020033186 0.0015929114 0.0013330854 0.007569651 0.0034744367 0.0037696937 0.005508757 0.0051212325 0.015038915 0.0041018575 0.0032101816 0.00392618 0.0041158823 0.0027783683 0.004837786 0.006657307 0.0038161967 0.0026794572 0.0029038526 0.0073164683 0.0023997012 0.0031577735 0.006531823 0.0040014703 0.007610987 0.004444356 0.0035807292 0.0021642337 0.004611176 0.002989477 0.0044281166 0.0023753424 0.0030699347 0.003932823 0.0026565748 0.0020025806 0.005744963 0.0023391736 0.003512082 0.007034498 0.009854202 0.003497319 0.0031850848 0.0060343146 0.0059545953 0.004031734 0.0020505597 0.004905695 0.0029075432 0.0067001195 0.006574635 0.003683331 0.0016807504 0.00629045 0.0049898433 0.012012531 0.006466128 0.0019782218 0.0023096479 0.0030994602 0.0027067685 0.0017021565 0.0017685894 0.0025421628 0.002087467 0.0016814886 0.0014814519 0.0057006744 0.0023650085 0.001973793 0.0063753366 0.0036383043 0.004171243 0.0021376605 0.0014120665 0.0025930945 0.008874687 0.003196157 0.04015569 0.0021354463 0.0073076105 0.0019907702 0.0015464085 0.0032345403 0.0021199451 0.0024048681 0.0017700656 0.002020296 0.0018866921 0.0020653226 0.0014061615 0.0018195212 0.0015663384 0.0018615953 0.0016482722 0.0020926339 0.0014807138 0.0021007536 0.001434949 0.0017634224 0.0022963611 0.0015560044 0.0017693276 0.0021199451 0.0015449323 0.0015405033 0.001367778 0.0018018058 0.0013736831 0.0013854934 0.0014903097 0.0018320696 0.0015877445 0.0016106269 0.0016977277 0.002393796 0.0016549154 0.0026757666 0.0019088364 0.0018778344 0.0014880953 0.0017523502 0.0017538265 0.0034205522 0.0030787922 0.004122526 0.0018372366 0.0021878544 0.001471118 0.0017073236 0.00155379 0.00860305 0.0024417753 0.0024277505 0.010990942 0.002916401 0.0017139668 0.004627415 0.0032507796 0.0024366083 0.0027481045 0.001781876 0.0020985391 0.0020948483 0.0016453196 0.0018881685 0.0019619828 0.0027547476 0.0018018058 0.0028101085 0.0023199818 0.0021502092 0.0014570933 0.0030182647 0.002118469 0.0044199973 0.0018896448 0.0018032821 0.0029953823 0.0023096479 0.001626866 0.0019280282 0.0018542139 0.0028411103 0.0018896448 0.001953125 0.0022911942 0.0026735521 0.002113302 0.0015663384 0.0018807871 0.021299101 0.0039778496 0.0014371634 0.00471304 0.0040870947 0.0014319964 0.0014976911 0.0015766723 0.0051330426 0.001833546 0.0024683485 0.00247573 0.004341016 0.0021457803 0.0027982981 0.002703816 0.006745884 0.0032131341 0.0025214946 0.0027266983 0.007121599 0.0024181549 0.00415648 0.042411454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019276398 3.1025436e-05 4.358335e-05 1.5882068e-05 3.0286734e-05 2.770128e-05 4.9862305e-05 2.9178684e-05 3.730439e-05 9.972461e-06 5.9096064e-06 9.2337605e-06 9.603111e-06 7.3870083e-06 1.5143367e-05 1.9575573e-05 0.0005916994 3.3241538e-06 4.8015554e-06 6.2789572e-06 1.8467521e-05 7.756359e-06 5.170906e-05 2.4746478e-05 2.8439981e-05 1.8467521e-06 1.4774016e-06 2.5854529e-06 1.4774016e-06 2.9548032e-06 2.5854529e-06 6.2789572e-06 0.0005832043 2.4007777e-05 3.3241538e-06 6.6483076e-06 4.6538153e-05 2.2161024e-05 5.540256e-06 5.1709058e-06 2.9548032e-06 4.8015554e-06 3.6935041e-06 6.6483076e-06 7.3870083e-06 2.9548032e-06 2.1791675e-05 9.603111e-06 0.011016615 0.00024007777 0.0010781338 0.0001743334 0.000569169 0.00025817595 0.003994894 0.0018995692 5.0970357e-05 4.506075e-05 3.508829e-05 3.361089e-05 3.2133485e-05 2.7331931e-05 4.0997897e-05 0.00017100925 0.0054468107 8.9382804e-05 0.00040259195 0.00026888712 0.00090601656 0.00040259195 0.0030412313 0.0015645684 5.355581e-05 2.5115829e-05 3.582699e-05 4.8384903e-05 0.00011043577 2.1422324e-05 4.358335e-05 0.00039889844 0.0043937927 0.00022899726 0.00079521147 0.0004007452 0.0016081517 0.0010888451 0.0066841342 0.0030035577 9.492306e-05 4.210595e-05 5.9096066e-05 4.1736595e-05 4.727685e-05 3.619634e-05 4.9123606e-05 0.0003368476 0.0036735593 0.00020979103 0.0010973401 0.0006083201 0.0010016783 0.000555503 0.0042852038 0.0020602366 0.00026334685 4.54301e-05 4.579945e-05 5.0601007e-05 0.00028994007 5.170906e-05 7.239268e-05 0.00081774185 0.015223146 0.000858001 0.0009898591 0.0005385129 0.005023535 0.0011649312 0.005402858 0.0028687448 0.0015911616 0.0005326033 0.00047609268 0.00042216753 0.00067000167 0.00048311034 0.00025300504 0.0020801816 0.012314881 0.0008650187 0.00094775314 0.00059096067 0.0045921337 0.0019150819 0.0035224948 0.0019047401 0.0033204602 0.0005532869 0.0004812636 0.00094221294 0.0014393586 0.00065264216 0.0011845068 0.0033511163 0.048577335 0.005785874 0.005605631 0.005429451 0.020089338 0.0150059685 0.011062414 0.009233022 0.03032293 0.0032521305 0.002134476 0.0055912267 0.01207111 0.006836307 0.014371055 0.028534906 0.050694454 0.007948791 0.0089279385 0.009425084 0.0241256 0.024354966 0.017233152 0.01384547 0.039155208 0.004163687 0.003601536 0.0076104654 0.01747951 0.009674395 0.02151503 0.041303717 0.018669926 0.020902278 0.022372294 0.020687317 0.021512816 0.02049784 0.02092518 0.020008082 0.020723883 0.022257056 0.019877331 0.020148434 0.021506906 0.019486189 0.019703368 0.018255144 10438.0 11.909945 124316.0 0.03538563 0.0013433509 0.0045287814 0.0016088034 0.0032658707 0.0034911034 0.0014077029 0.001480099 0.0035715434 0.0035634995 0.0015685833 0.0014881431 0.002767142 0.0027430097 0.0050999066 0.0022925448 0.0022362366 0.0020673124 0.00290389 0.0027430097 0.002871714 0.001415747 0.0020994884 0.0011342064 0.002332765 0.001415747 0.007561376 0.00466553 0.0026464816 0.0018018598 0.0020673124 0.0009170179 0.0014961872 0.010859422 0.007899225 0.016795907 0.013248496 0.015951285 0.00949194 0.006193893 0.0069902507 0.01361852 0.0017857717 0.0035313235 0.009564336 0.008864506 0.009934361 0.013988545 0.010240033 0.0026706136 0.009524116 0.020134173 0.020053733 0.006580006 0.0050596865 0.0073763635 0.0028475819 0.0063306415 0.0023247208 0.0050114226 0.0025901734 0.00482641 0.005180347 0.005638856 0.0013674828 0.041161235 0.009057563 0.021292513 0.022386499 0.079426624 0.008502526 0.017463561 0.012701503 0.042142604 0.0018259918 0.005252743 0.0307201 0.014390746 0.051932175 0.049132854 0.015452556 0.0013674828 0.04521542 0.03252196 0.058681104 0.017383121 0.0053975354 0.008534702 0.007497024 0.0077624763 0.0029119342 0.0012709546 0.0015846713 0.0009813701 0.0008044017 0.0007883136 5.6807837 2.0 4.0 7.0 10.0 1354752.0 1429504.0 0.0 0.0 18.0 1.0 1.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 825344.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -825344.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 512000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.299104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3561115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609026 0.0 0.0 0.0 0.0 0.0 0.0 -5.0913043 7.8417015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -47980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 5340.0 0.0 0.0 0.0 0.0 0.0 -4960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -825300.0 0.0 0.0 0.0 0.0 0.0 0.0 -10554.0 511888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10554.0 847872.0 511888.0 917504.0 0.0 0.0 0.0 0.0 0.0 868352.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 864256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06558818 0.009866436 0.0034703088 0.0036408722 0.005989399 0.0061665224 0.0025256502 0.0026043716 0.005182503 0.005851636 0.0023944476 0.002125482 0.0041722427 0.006304285 0.0020992416 0.0036015115 0.004250964 0.005831956 0.0018237162 0.0020402004 0.0038048755 0.007498229 0.0020992416 0.0020926816 0.0032538245 0.005608911 0.0016269123 0.0018171561 0.003175103 0.0057138735 0.0017449947 0.001764675 0.004677373 0.0056351516 0.0020598809 0.002066441 0.0107126925 0.005700753 0.001462909 0.0018565168 0.0029126978 0.0055105095 0.0015219502 0.0023550866 0.0026962135 0.00554331 0.0018237162 0.0019024378 0.0025912514 0.0056679524 0.0020074 0.0031554226 0.0028930174 0.005936918 0.0017843554 0.0018565168 0.0027880552 0.006107481 0.0017909155 0.0030176598 0.00251253 0.005700753 0.0017843554 0.0020008397 0.009387546 0.006435488 0.0019417985 0.002669973 0.005444908 0.006651972 0.0032013436 0.0027486945 0.002729014 0.0060943607 0.0017056338 0.0020730011 0.0054121073 0.006356766 0.002118922 0.0023419664 0.005595791 0.0066782124 0.0028602167 0.003371907 0.0031947833 0.0065929308 0.0037720748 0.0033456665 0.0022763652 0.005950038 0.0016859535 0.0026174919 0.0027158938 0.006343646 0.0028864574 0.0031095017 0.0024075678 0.0067700543 0.0017384345 0.0024075678 0.0031947833 0.008672492 0.0019549187 0.002171403 0.0040213596 0.0069734184 0.0053727464 0.0019352384 0.003883597 0.005792595 0.0030373402 0.0032866253 0.0024534888 0.0056154714 0.0035227898 0.00302422 0.0069012567 0.00858065 0.002118922 0.0023944476 0.0027355743 0.0058581964 0.0016793933 0.0017515548 0.0030570207 0.0057138735 0.0019089979 0.0019549187 0.0034047076 0.0060812407 0.001764675 0.005845076 0.003981999 0.0075900704 0.0018433966 0.0019549187 0.0033850272 0.008219843 0.002820856 0.011906636 0.0029454983 0.010732373 0.0019089979 0.0019286782 0.007314545 0.005385867 0.0016334724 0.0019024378 0.0028602167 0.0055236295 0.001712194 0.0018893175 0.0022894854 0.0057597943 0.0014432287 0.0017253142 0.0022763652 0.0053989873 0.0015941117 0.0016990737 0.0028930174 0.0070127794 0.0021451626 0.0021386023 0.0025322102 0.0056745126 0.0017318743 0.0017712351 0.0021123618 0.0054777088 0.0019286782 0.0020861214 0.0022501247 0.0055826707 0.0018827574 0.001915558 0.0023944476 0.0055301897 0.0017253142 0.0021058018 0.002466609 0.0053202654 0.0017909155 0.0018893175 0.00251909 0.005831956 0.001712194 0.0018958776 0.0024141278 0.0054645883 0.001613792 0.002066441 0.005130022 0.0065929308 0.0026962135 0.0034112677 0.0036343122 0.0054645883 0.002873337 0.002624052 0.0030373402 0.006232124 0.001764675 0.0024141278 0.0030898212 0.005595791 0.0020533206 0.002676533 0.0025846914 0.005943478 0.0018565168 0.0025584507 0.0024534888 0.0056154714 0.0018958776 0.0021779633 0.0025912514 0.005608911 0.0017515548 0.0021517228 0.002315726 0.0053989873 0.0016925136 0.0020008397 0.0022566847 0.0057729147 0.0018827574 0.0018368365 0.00251909 0.0053793066 0.0017384345 0.0019286782 0.0077081528 0.0060156393 0.0017056338 0.0030570207 0.0029520586 0.005490829 0.0016400325 0.0018630769 0.0026896533 0.0058778767 0.0017777953 0.002309166 0.0024534888 0.0055301897 0.0022370045 0.0025584507 0.003627752 0.005864756 0.0020861214 0.001968039 0.0032079036 0.0058713164 0.0024075678 0.016334724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00562686 0.00016276042 0.00015611714 2.6573129e-05 9.6327596e-05 3.9859693e-05 6.6432825e-05 5.3146257e-05 0.0001694037 2.989477e-05 0.0001129358 2.3251489e-05 6.6432825e-05 4.982462e-05 5.3146257e-05 6.975447e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008629624 3.653805e-05 0.0006510417 0.00028566114 0.000129544 0.00011625744 0.0009931707 0.00073740433 0.00038198874 0.00034877233 2.989477e-05 2.989477e-05 0.00021590668 3.9859693e-05 0.0001129358 0.00086694834 0.0011692176 1.3286564e-05 6.311118e-05 7.30761e-05 0.00093338115 0.00047831633 0.0026440264 0.0012755102 1.3286564e-05 2.989477e-05 1.6608206e-05 3.3216413e-05 2.3251489e-05 9.964923e-06 6.643282e-06 1.9929847e-05 0.006527025 0.00020594175 0.00054474914 0.0004185268 0.0022753242 0.0012190423 0.0053644506 0.0026539913 0.00017936862 9.3005954e-05 0.00036870217 0.000129544 0.00019597683 9.6327596e-05 4.982462e-05 8.636267e-05 0.011100925 0.00041520514 0.0015744579 0.0008470185 0.0012057557 0.000694223 0.003969361 0.0022753242 0.0008370536 0.0007241178 0.0011061066 0.0006610066 0.00055139244 0.00017604697 0.0003554156 0.0007174745 0.0056036087 0.0003554156 0.0005746439 0.00040191857 0.00056800066 0.00048828125 0.0007141529 0.0007008663 0.00064772 0.00023251488 0.00062779017 0.00043845663 0.00050488947 0.00034877233 0.00040191857 0.0009964923 0.0119413 0.0018069728 0.0015711363 0.0015910661 0.0046635843 0.0029031143 0.0010396737 0.002358365 0.0079021845 0.0005812872 0.0007506909 0.00061450363 0.0031721673 0.0009200946 0.0018933355 0.0039095716 0.03690011 0.008732595 0.011243755 0.005407632 0.014621864 0.014655081 0.0065336684 0.006988733 0.023978928 0.0060520303 0.0037667411 0.0019863413 0.012412973 0.004118835 0.008782419 0.017491762 0.042553544 0.04254026 0.04219813 0.0425469 0.04290896 0.042629942 0.042387463 0.04233432 0.04248711 0.04241736 0.04228117 0.042842526 0.042307742 0.04286578 0.042128373 0.042842526 736.0 9.163043 6744.0 0.03647687 0.0048932387 0.009341637 0.0035587188 0.011417557 0.0069691576 0.0020759194 0.003706999 0.004003559 0.0051897983 0.003113879 0.0047449586 0.004003559 0.0048932387 0.008155397 0.003410439 0.007413998 0.0045966785 0.0051897983 0.0045966785 0.0038552787 0.0053380784 0.0051897983 0.003410439 0.0053380784 0.0044483985 0.003706999 0.002965599 0.006227758 0.007413998 0.0044483985 0.003410439 0.006672598 0.021797152 0.0048932387 0.013345196 0.010972717 0.012158956 0.0077105574 0.011714117 0.006672598 0.008748517 0.002817319 0.003706999 0.012307236 0.009934757 0.004003559 0.006820878 0.013048636 0.008748517 0.014086596 0.017497035 0.010824436 0.008451957 0.007413998 0.008007118 0.003410439 0.003706999 0.0020759194 0.0054863584 0.006227758 0.009934757 0.003410439 0.008451957 0.0038552787 0.03425267 0.0071174377 0.017497035 0.016903915 0.071767494 0.0054863584 0.012752076 0.009786477 0.03573547 0.004003559 0.0047449586 0.02921115 0.014679715 0.032918148 0.03499407 0.012158956 0.003706999 0.03469751 0.023576513 0.047449585 0.015124555 0.0053380784 0.010379597 0.010231317 0.011862396 0.002965599 0.0020759194 0.0035587188 0.0051897983 0.003410439 0.004003559 6.0396175 2.0 1.0 4.0 2.0 152436.0 61440.0 0.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1078511700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 35840.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4282928 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.835506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5389695 0.0 4.152397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5066.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35584.0 0.0 3160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 42528.0 3160.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 648.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.008501655 0.004380662 0.0041847974 0.003947704 0.003980772 0.0039275666 0.0038896233 0.0039719753 0.0038970425 0.0039020237 0.003910185 0.003909019 0.0039384835 0.003925977 0.0038551774 0.0039107148 0.0043610544 0.003860477 0.0038799783 0.0038490302 0.00386673 0.0038580392 0.0038789185 0.0038839 0.0038968304 0.0038558133 0.003911033 0.0038567672 0.003868532 0.0038517858 0.0038374776 0.0038188237 0.0040389593 0.0038432009 0.0039030837 0.0038745732 0.003907535 0.00385115 0.0038540117 0.0038905772 0.003908065 0.0038401273 0.003892167 0.003843095 0.0038779646 0.0038133124 0.0038694858 0.003900646 0.0039544874 0.0038862317 0.0038580392 0.0039278846 0.0038793425 0.0038531637 0.0038348278 0.0038560254 0.0038619607 0.0039130463 0.003860477 0.0038810384 0.0038758449 0.0038948166 0.0038455327 0.003842459 0.0040584607 0.004009389 0.0038380076 0.003890471 0.0038777527 0.003899374 0.0038436248 0.0038825222 0.0038911072 0.0038495602 0.0038688497 0.003841611 0.0038215795 0.0038576152 0.0038451087 0.003842035 0.003925235 0.003859523 0.0038560254 0.003931064 0.0038624906 0.00386726 0.003891319 0.0038287865 0.0038632324 0.0039106086 0.0038776468 0.0038704395 0.0038648222 0.0038734071 0.0038524217 0.0038479704 0.0038548594 0.0038928029 0.0038523157 0.0038717114 0.0039176038 0.003955547 0.0039136824 0.0038494542 0.0038890934 0.0038971484 0.003867578 0.0038473343 0.003932336 0.003858781 0.0038790246 0.003916968 0.003883158 0.003834404 0.0038967244 0.003907747 0.0040112967 0.0039046735 0.003867366 0.0038565553 0.0038565553 0.0038684257 0.0038830522 0.003860477 0.0038740432 0.0038806144 0.0038625966 0.0038451087 0.0042782784 0.0038942867 0.0038633384 0.0039437828 0.0038758449 0.0038738311 0.0038460626 0.0038543295 0.003875633 0.0039138943 0.0038631265 0.0042006955 0.0038620667 0.0039176038 0.0038296345 0.0038812503 0.0039361515 0.0038451087 0.003808225 0.0038342979 0.003859629 0.0038647163 0.003841187 0.0040015457 0.00411474 0.003866624 0.0039052034 0.0038762689 0.0038656702 0.0038897293 0.0038410812 0.003834086 0.0038385375 0.0038615367 0.0038348278 0.0038372655 0.0038822042 0.0038364178 0.0038624906 0.0038640804 0.003849666 0.0038403391 0.0038244412 0.0038823101 0.0038440488 0.003818082 0.0038802964 0.0038321782 0.0038563432 0.003834192 0.0038584631 0.0038734071 0.0038475464 0.003850302 0.0038282566 0.0038432009 0.0038891993 0.0038401273 0.0038445788 0.0038717114 0.0038602648 0.0038665181 0.0038561313 0.0038724532 0.0039584087 0.0038375836 0.0038387494 0.0039558653 0.0038977843 0.0038616427 0.0038567672 0.0038473343 0.0038653521 0.003857933 0.003840869 0.0038382194 0.003874255 0.0038696977 0.0038605828 0.0038762689 0.0038550715 0.0038735133 0.0038524217 0.003834934 0.0038801904 0.0038223213 0.0038240172 0.003850302 0.0039111385 0.0038533756 0.0038531637 0.003833132 0.0038231693 0.0038304825 0.0038571912 0.0038978902 0.0038620667 0.0038632324 0.0038491362 0.0038557074 0.0038460626 0.0038603707 0.0038310124 0.0038533756 0.004007481 0.0038844298 0.0038688497 0.0038650343 0.0039100787 0.003825713 0.0038559192 0.0038375836 0.0039409213 0.0038694858 0.003865882 0.0038399154 0.0038733012 0.0038192477 0.0038540117 0.003842353 0.0039061573 0.00385009 0.0038738311 0.0038869735 0.0038951347 0.0038772228 0.0042517814 0.00495861 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001963832 2.0724921e-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 0.0004980342 4.770442e-06 5.6715257e-06 1.489438e-05 8.4807857e-07 3.1802946e-07 6.360589e-07 4.2403929e-07 2.438226e-06 1.2721179e-06 1.5371425e-06 1.0070934e-06 1.1661081e-06 1.1131032e-06 1.7491622e-06 6.8906384e-06 0.0005949271 0.00011989711 1.1184036e-05 1.5901473e-06 2.6502455e-06 7.950737e-07 1.219113e-06 1.5901473e-06 1.7491622e-06 1.6431522e-06 1.7491622e-06 1.6961571e-06 2.7032504e-06 2.385221e-06 2.6502455e-06 1.1449061e-05 0.0008896344 0.0004447642 1.1661081e-06 1.2721179e-06 3.5513292e-06 8.4807857e-07 4.2403929e-07 7.420688e-07 0.00027175617 4.2403929e-07 4.2403929e-07 5.565516e-06 4.770442e-07 5.8305403e-07 6.890639e-07 5.989555e-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 0.000981651 1.0070933e-05 1.1555071e-05 1.3728272e-05 4.8499496e-05 2.0936941e-05 2.5442358e-05 1.5371425e-05 7.834126e-05 0.00031341804 5.93655e-06 3.4453195e-05 5.300491e-06 5.459506e-06 7.844727e-06 0.000701626 0.000507416 1.9240782e-05 3.185595e-05 6.466599e-06 2.4488269e-05 1.1025022e-05 0.000103359576 5.2898904e-05 2.968275e-06 8.4807856e-05 4.823447e-06 3.1802947e-06 4.9824616e-06 4.6644323e-06 4.0813784e-06 0.00021928133 0.00032359498 7.685712e-06 1.9982852e-05 5.6715257e-06 3.259802e-05 2.4647285e-05 0.00010399564 5.5496144e-05 7.261673e-06 4.3888067e-05 2.5442357e-06 5.1414763e-06 2.7032504e-06 2.8092604e-06 2.5442357e-06 1.0759997e-05 0.0004627859 1.5053395e-05 5.9100475e-05 1.8710734e-05 3.689142e-05 3.1484917e-05 7.187466e-05 3.7050435e-05 2.8675657e-05 2.4541274e-05 8.85182e-06 6.678619e-06 9.222855e-06 6.625614e-06 9.699899e-06 4.1184816e-05 0.00029862966 3.2863045e-05 3.874659e-05 3.8481565e-05 6.980747e-05 2.2898123e-05 9.938421e-05 4.823447e-05 8.692806e-06 3.227999e-05 5.8835453e-06 1.6961572e-05 8.7988155e-06 4.9294567e-06 3.5513292e-06 2.9735756e-05 0.00014417336 6.04256e-06 1.2721179e-05 1.2456155e-05 3.0424819e-05 1.3569257e-05 3.2067972e-05 2.1891028e-05 9.3288645e-06 5.459506e-06 1.4311327e-06 7.632707e-06 4.4524127e-06 2.2262063e-06 6.8376335e-06 1.4947385e-05 3.3605113e-05 1.219113e-06 3.7633488e-06 4.0283735e-06 1.8869749e-05 8.85182e-06 4.346403e-06 1.5371425e-06 5.0354665e-06 3.4983243e-06 2.6502457e-07 2.9152702e-06 4.6114274e-06 1.9081767e-06 2.968275e-06 1.1131032e-05 0.0005523642 5.6503235e-05 7.001949e-05 7.362382e-05 0.0001651633 0.00013145218 9.434875e-05 0.00010616884 0.00023433472 4.7333386e-05 2.6926495e-05 5.6397228e-05 0.00011475563 6.429496e-05 0.00010802401 0.00026937097 0.00089610106 0.00016219504 0.00018928054 0.00022071245 0.00031855953 0.00033297687 0.0002449357 0.00023391067 0.0005436184 8.8094166e-05 8.3376726e-05 0.000117776915 0.00027912387 0.00015344922 0.00026523657 0.0005384769 0.061597485 0.06143545 0.061653033 0.0616101 0.0613684 0.061385732 0.06140958 0.061515912 0.06158455 0.061546072 0.061451986 0.061440963 0.06150616 0.06140969 0.06146762 0.061551265 43845.0 5.7209945 250837.0 0.011967931 0.009954671 0.0106922025 0.010098191 0.010245698 0.009851019 0.010425096 0.0099905515 0.010082245 0.009906832 0.010329417 0.009922778 0.010122111 0.010197857 0.0104649635 0.010680242 0.011039041 0.010640376 0.010229751 0.0106961895 0.010831735 0.010169951 0.010118124 0.010090218 0.010030418 0.009930752 0.010090218 0.010150018 0.010197857 0.010301511 0.010185897 0.009795206 0.010353337 0.011062961 0.0099945385 0.01052875 0.01049287 0.010341377 0.010345364 0.010476924 0.009687566 0.010245698 0.009886899 0.010070285 0.009795206 0.010405163 0.0102177905 0.010046365 0.010341377 0.010154004 0.0104609765 0.010592536 0.0107081495 0.010413137 0.009878925 0.010309484 0.010357324 0.010253671 0.010249684 0.009843046 0.009998525 0.010038392 0.010062312 0.010329417 0.009775273 0.01136196 0.010022445 0.011039041 0.010883562 0.012538022 0.010472937 0.010377257 0.010293537 0.0109314015 0.0099905515 0.010161977 0.011190534 0.010744029 0.01135 0.011282227 0.010827749 0.009743379 0.011684879 0.011497506 0.011888199 0.01045699 0.0106961895 0.010381243 0.010592536 0.010823762 0.010189884 0.010496857 0.010026432 0.0099945385 0.0106922025 0.0102217775 6.5832405 2.0 20.0 0.0 132.0 9435104.0 192512.0 0.0 0.0 122.0 0.0 1.0 1.0 1.0 0.0 1528982900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 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 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 74752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.8596973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5167036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.402267 -5.006032 4.619069 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62044.0 -3588.0 74432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 -3.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 74432.0 114688.0 0.0 0.0 7016.0 9428088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.1184909 0.008505545 0.0027170489 0.0029572519 0.0034849106 0.0026422315 0.0017680506 0.0022169545 0.004032258 0.0028391192 0.003177766 0.0013821509 0.0033943423 0.016428301 0.015408424 0.0030281313 0.009745936 0.0013939642 0.0027721773 0.0012207031 0.0027091734 0.0021303238 0.016018774 0.0015869141 0.0020673198 0.0019649384 0.0011222593 0.0016971711 0.00238234 0.0039259386 0.0016105406 0.0015869141 0.0047056135 0.002508348 0.0014490928 0.0013073337 0.00289031 0.0019964403 0.0018428679 0.0016892956 0.0020712574 0.0010750063 0.0019413118 0.0029021231 0.0019491873 0.0018743699 0.0019964403 0.017369425 0.0017326109 0.0024177798 0.0036581715 0.0030990108 0.0018310547 0.0019413118 0.016440114 0.0017838017 0.0024965347 0.017200101 0.0018074282 0.0032132056 0.0024729082 0.0035321636 0.0021815146 0.002240581 0.0035636656 0.004863124 0.0018979965 0.0022051411 0.004997007 0.018310547 0.00222483 0.002984816 0.0017404864 0.003622732 0.0014963457 0.0019334363 0.002461095 0.0028036793 0.0029966293 0.001811366 0.008422852 0.015550183 0.0017168599 0.004508726 0.0019885649 0.0041346396 0.0040558847 0.002508348 0.003461284 0.0035361012 0.015896704 0.0016223538 0.0019019343 0.0020948842 0.003953503 0.003559728 0.0014372795 0.0028666835 0.00359123 0.0021145728 0.0021106352 0.004575668 0.0017326109 0.0013585244 0.0026304184 0.0029021231 0.0030911353 0.0020988218 0.0029651274 0.00203188 0.0027839907 0.0027131112 0.0018783077 0.0016656691 0.0037093624 0.0023902154 0.0065799835 0.0069461945 0.0016932334 0.0013939642 0.015353295 0.0015514743 0.0016223538 0.0010041267 0.004264585 0.001968876 0.0013742754 0.0013506489 0.0020751953 0.0022957094 0.0009805002 0.005182082 0.0017522996 0.003492786 0.0015908518 0.0016262915 0.0016735446 0.0038353705 0.0013230847 0.008647303 0.0019176853 0.004496913 0.0030832598 0.0016381048 0.0015751008 0.0010671308 0.0011970766 0.0013309602 0.0010671308 0.0014963457 0.0025004726 0.001031691 0.0013545867 0.0027327999 0.001000189 0.0010513798 0.0011813256 0.01569588 0.0016459803 0.0014963457 0.0013900264 0.015510805 0.0011773879 0.0015435988 0.0013742754 0.0028942476 0.001602665 0.0012285786 0.0012325164 0.0016538559 0.00101594 0.002571352 0.0012640184 0.0012167654 0.0014845325 0.016298356 0.002398091 0.001303396 0.0016971711 0.002272083 0.0011025706 0.0014805947 0.0027721773 0.0012010144 0.0015002835 0.0026461694 0.0017286731 0.0010710686 0.0024886592 0.0014254663 0.0019491873 0.0018546812 0.004445722 0.003492786 0.0028469947 0.0041740173 0.002319336 0.0023941533 0.0020988218 0.0021933278 0.0017719885 0.00222483 0.0019255608 0.0010041267 0.003016318 0.0012049521 0.0021618258 0.0012600806 0.030096238 0.0028509325 0.0012758316 0.015491117 0.0040401337 0.001602665 0.0012797693 0.0026619204 0.0016381048 0.0010946951 0.0025437877 0.0026422315 0.0020751953 0.0011813256 0.0011222593 0.01508159 0.0027249244 0.0015396611 0.015073715 0.0011025706 0.0020397555 0.0010356287 0.0027052357 0.0010356287 0.008178711 0.00222483 0.0013270224 0.002476846 0.0020358178 0.0016262915 0.0011655746 0.0017522996 0.0030871977 0.0023232738 0.0016262915 0.0024099043 0.0014727192 0.0010907573 0.0017326109 0.001508159 0.0051545175 0.0013270224 0.0012010144 0.0012285786 0.016865391 0.0013506489 0.0027524887 0.017625378 0.032388665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035642555 0.0 1.9768472e-06 0.0 4.5467485e-05 4.3490636e-05 0.00022733743 0.00016605516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070790895 6.918965e-05 5.9305414e-05 0.00028268914 0.0061341566 0.0020499905 0.00020163841 5.732857e-05 3.7560098e-05 2.3722167e-05 3.36064e-05 1.9768471e-05 3.9536942e-05 2.767586e-05 5.3374875e-05 2.5699013e-05 0.010354726 0.00019768471 0.00017593939 0.00011268029 0.00015814777 0.00016012462 0.0001462867 0.00010872659 5.3374875e-05 4.7444333e-05 7.9073885e-05 3.1629555e-05 4.5467485e-05 0.00016210147 0.00012651822 0.00018582364 0.0032874967 0.0002431522 3.7560098e-05 2.767586e-05 2.3722167e-05 2.3722167e-05 3.7560098e-05 4.9421178e-05 5.535172e-05 5.3374875e-05 1.383793e-05 1.383793e-05 4.7444333e-05 1.383793e-05 3.9536942e-05 8.105073e-05 0.009150825 0.000517934 0.00030245763 0.00013640245 0.00028664284 0.00020756896 0.00056735513 0.00030443448 0.000100819205 6.128226e-05 7.5120195e-05 3.1629555e-05 5.9305414e-05 5.3374875e-05 0.000100819205 0.00018977733 0.010595901 0.00079469255 0.00036373988 0.00014826354 0.00043095267 0.00030048078 0.00044281376 0.00040525367 0.00033804087 0.00021745318 7.11665e-05 0.000120587676 0.00015814777 0.00016803201 0.00010872659 0.0015300798 0.003688797 7.11665e-05 0.00066026696 0.00023722165 0.001964986 0.0007966694 0.0030463214 0.0015715935 2.1745318e-05 7.907389e-06 1.9768471e-05 1.9768471e-05 1.9768472e-06 9.884236e-06 1.5814778e-05 1.1861083e-05 0.0053888853 0.00057130883 0.00077294727 0.00020361526 0.00015419407 0.00029652708 0.0017831161 0.0012019231 0.00043095267 0.0001462867 8.500443e-05 9.686551e-05 0.00020756896 0.0001344256 0.0002510596 0.00042106846 0.005679482 0.0007670167 0.0009844699 0.0027181648 0.0031926082 0.001992662 0.004732572 0.0025718783 0.00023129112 0.00017198571 0.00017198571 0.00017593939 0.00015419407 0.00018186994 0.0002134995 0.00035187879 0.004876882 0.00097063195 0.00049223495 0.0043648784 0.0013541403 0.0009844699 0.0022694205 0.0013185571 0.00036373988 0.00036373988 0.0003479251 0.00043688322 0.00041316106 0.00038943888 0.00036571673 0.00093109504 0.0016961349 9.686551e-05 7.5120195e-05 0.00010872659 0.00016210147 0.00019966156 0.00019175418 0.000116633986 0.00023129112 2.9652707e-05 1.5814778e-05 8.105073e-05 0.00018186994 4.9421178e-05 0.0002728049 0.00053967925 0.03456715 0.013098589 0.011011039 0.020624446 0.012529258 0.023071783 0.0021784855 0.013312089 0.006403008 0.010135296 0.019517412 0.0008836507 0.0030542288 0.039226577 0.013733157 0.015520227 0.031623624 0.011107904 0.0064880126 0.010396239 0.008692197 0.014185855 0.004410346 0.011270005 0.017180778 0.0030700436 0.0053355107 0.0020381294 0.0094690975 0.008963025 0.0114242 0.0184341 0.025774132 0.025602147 0.028298568 0.02894895 0.02497944 0.03490519 0.020748988 0.022470823 0.020337803 0.023243768 0.02789529 0.025050607 0.024827223 0.03763917 0.021504143 0.024777802 1033.0 14.389158 14864.0 0.027179763 0.0026910657 0.0022874058 0.0014128095 0.003027449 0.002421959 0.0019510227 0.004372982 0.0034311088 0.0016819161 0.001883746 0.0036329387 0.0031620022 0.004372982 0.0070640473 0.008947793 0.0067949407 0.0058530676 0.007871367 0.0053821313 0.0042384285 0.003565662 0.0076022604 0.0051130247 0.0078040906 0.0092169 0.0063240044 0.0053821313 0.0068622176 0.0066603874 0.0058530676 0.005583961 0.0053821313 0.04063509 0.0034311088 0.009082346 0.056377824 0.0115043055 0.0051130247 0.03007266 0.0057185143 0.032158233 0.0020855758 0.0046420884 0.006929494 0.006122174 0.030341765 0.0049784714 0.03565662 0.004709365 0.008745964 0.018770183 0.006189451 0.007467707 0.0134553285 0.005651238 0.028727125 0.005651238 0.0042384285 0.0028928956 0.011638859 0.0023546824 0.0041711517 0.011437029 0.004507535 0.027381593 0.012244348 0.016684607 0.013926265 0.046622712 0.006189451 0.006122174 0.005651238 0.021393972 0.0032292788 0.002825619 0.019712055 0.0088805165 0.021393972 0.027583422 0.010293326 0.0026910657 0.03444564 0.016280947 0.0380113 0.0115043055 0.004507535 0.0045748116 0.0076695373 0.0057185143 0.0025565124 0.0014800861 0.004911195 0.0016146394 0.0015473628 0.001883746 5.9721217 0.0 0.0 27.0 3.0 253952.0 258048.0 0.0 15.0 83.0 1.0 1.0 0.0 0.0 0.0 1161587300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 53248.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 -163840.0 0.0 0.0 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 -53248.0 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 -4.5291476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5086102 0.0 0.0 -7.0873404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.522571 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.596387 0.0 3.5845048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14597.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49473.0 0.0 1020.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 453.0 71488.0 100.0 69436.0 1020.0 81920.0 0.0 0.0 0.0 0.0 3344.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 66424.0 0.0 0.0 416.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.17569202 0.02762935 0.0071820845 0.0071637603 0.010395028 0.0035316013 0.0035038919 0.0030462407 0.009847098 0.0017242365 0.0017787614 0.001983453 0.007517278 0.0022627811 0.0015865837 0.014603274 0.006361083 0.0016254662 0.0010766423 0.0014672547 0.0042511504 0.0035709306 0.0010462514 0.001156195 0.0037121589 0.0012670323 0.001060553 0.0012692669 0.0027034492 0.000703013 0.00073608547 0.0018739564 0.0036272432 0.0007199961 0.0011490441 0.00086569367 0.011670999 0.0010256928 0.0006659182 0.00060781796 0.0021899324 0.00095597253 0.000893403 0.0030350676 0.0017635659 0.00072535925 0.0010833462 0.00063463347 0.0036621033 0.001954403 0.002055855 0.0086234175 0.0031119387 0.0026980862 0.0017269182 0.0017787614 0.003323334 0.0028840068 0.005021649 0.0092509 0.003491825 0.0033993113 0.0025340647 0.0023208815 0.0075271106 0.002638645 0.002103229 0.002012503 0.006189017 0.012910768 0.004414278 0.002597528 0.0022350717 0.00091172697 0.0012880377 0.0008898276 0.0032317145 0.0064093512 0.0019320566 0.0011298263 0.008390123 0.003234843 0.0024031156 0.003496741 0.0030775254 0.0044111493 0.003969141 0.003491825 0.0014207745 0.0011941835 0.00046301426 0.002609148 0.001847141 0.004874611 0.0037103712 0.0033380827 0.001465914 0.0010158605 0.0005908348 0.0007892695 0.0029018838 0.0017461359 0.00508109 0.00056133774 0.0033425519 0.001042229 0.007078398 0.00048625437 0.001578539 0.00064670044 0.0010587652 0.0010297152 0.0017626721 0.0006744098 0.0032259044 0.0022864682 0.010005309 0.008922857 0.0016714995 0.0017032311 0.0017707167 0.00095105637 0.00065251044 0.00060468947 0.0020509388 0.00253764 0.0014668078 0.0010480391 0.0039588613 0.0024495958 0.0009130677 0.015122154 0.0063838763 0.013436353 0.0024254618 0.001549042 0.0022542896 0.016192092 0.0019937323 0.044702776 0.0023789816 0.013019819 0.00091709004 0.0006033487 0.0018002138 0.00037094773 0.0003776516 0.0008210012 0.0016647956 0.0010940724 0.0005814494 0.0004616735 0.0010256928 0.00047284662 0.0003682662 0.00037988622 0.0015696005 0.00072223076 0.0004580981 0.00038971857 0.0013430095 0.0020361901 0.00034100376 0.00082904584 0.00128044 0.0003418976 0.00033742836 0.0003521769 0.0011696026 0.00044469035 0.00053049996 0.00042100332 0.0009318386 0.000345473 0.00031955136 0.00037228852 0.002227474 0.00035172995 0.00043396416 0.00047150586 0.0011168655 0.001328261 0.0016187623 0.0016111645 0.0030158497 0.0012531776 0.001126251 0.00062346034 0.0011646865 0.0011807758 0.0011691557 0.0010377598 0.01016799 0.0042819884 0.003365792 0.0066690147 0.005177626 0.0011847981 0.0042507034 0.007903421 0.0037613206 0.0027494824 0.0012902725 0.0013707189 0.020735532 0.0013832328 0.0024187579 0.0018828949 0.0025720533 0.001447143 0.0018614426 0.00094926864 0.0013206633 0.00034055684 0.0012674793 0.0009421178 0.003227692 0.0008661406 0.000589941 0.0014368638 0.0015204388 0.00076334784 0.00057519245 0.0007856941 0.0024764114 0.00081697886 0.0007213369 0.00050904753 0.0020889274 0.0030547322 0.0009318386 0.0006516166 0.016507622 0.0031418826 0.0007856941 0.0038493648 0.005380977 0.0005372038 0.0006940745 0.0009845757 0.0039642244 0.0015396565 0.0010980946 0.0010462514 0.0031012124 0.0009742965 0.0027905996 0.0021345136 0.0051262295 0.002787471 0.0016169746 0.0020603242 0.006869237 0.0023517192 0.005511479 0.057968404 0.026998332 0.0 4.247868e-06 4.695012e-06 0.0 1.341432e-06 2.23572e-07 2.23572e-07 0.0 0.0 8.94288e-07 0.0 0.0 0.0 4.247868e-06 4.47144e-07 0.000877073 3.130008e-06 5.365728e-06 4.47144e-06 3.35358e-06 2.682864e-06 1.788576e-06 8.94288e-07 2.23572e-07 4.47144e-07 6.70716e-07 3.577152e-06 3.577152e-06 3.800724e-06 1.11786e-06 3.577152e-06 0.00041942106 3.130008e-06 5.365728e-06 4.47144e-06 3.35358e-06 2.682864e-06 1.788576e-06 6.70716e-07 2.23572e-07 4.47144e-07 6.70716e-07 3.577152e-06 3.577152e-06 3.800724e-06 1.11786e-06 3.577152e-06 0.0008079892 1.229646e-05 2.1910057e-05 1.11786e-05 4.695012e-06 2.459292e-06 2.682864e-06 2.459292e-06 4.695012e-06 3.800724e-06 4.0242962e-06 2.0121481e-06 1.229646e-05 9.613596e-06 8.272164e-06 5.365728e-06 0.00037806024 6.260016e-06 2.9287932e-05 8.272164e-06 3.800724e-06 1.788576e-06 2.23572e-07 6.70716e-07 2.682864e-06 1.788576e-06 5.142156e-06 2.459292e-06 5.142156e-06 6.260016e-06 3.577152e-06 2.459292e-06 0.0018187582 5.6563716e-05 7.8920915e-05 6.282373e-05 3.0629366e-05 1.5202896e-05 2.9958648e-05 1.8780049e-05 2.1015769e-05 2.2804345e-05 1.2743604e-05 1.4085036e-05 2.4816492e-05 1.6097185e-05 1.0731456e-05 5.5445857e-05 0.004931104 0.00014308609 0.00019048335 0.00032730942 0.00016723186 9.121738e-05 0.00010910314 9.054666e-05 3.91251e-05 8.808737e-05 3.0852938e-05 2.3922204e-05 3.465366e-05 3.8677957e-05 5.455157e-05 0.00050817913 0.020100018 0.0006789882 0.0007764656 0.001724858 0.00074516545 0.0004878341 0.0014789288 0.0009696318 0.00024883563 0.00045720473 0.00019271906 0.00019830836 0.00017706903 0.00019227192 0.0002076984 0.0020416596 0.0215823 0.0006868132 0.0011420058 0.0023915498 0.0009405674 0.0008656708 0.0018898541 0.0011833666 0.00048671625 0.00054596283 0.0003194844 0.00043484755 0.00042120964 0.00039482815 0.00031344793 0.0016577864 0.012321053 0.0006324852 0.00093922595 0.0017767267 0.001038492 0.0006429931 0.0017536988 0.0012198088 0.00038208454 0.00024458778 0.00027588784 0.00024458778 0.0003418416 0.00032328512 0.00033915872 0.0008757315 0.0055394433 0.00030830578 0.000569885 0.0009240231 0.0007914449 0.00062398944 0.0010662149 0.00072459684 0.00024302276 0.00019428408 0.00016432542 0.00018399976 0.0008176028 0.00025576638 0.0006347209 0.0016103891 0.0061254255 0.0016086005 0.0017926003 0.016302424 0.0018285954 0.0015006153 0.0014415922 0.0014592544 0.0019888966 0.0012566982 0.0011317214 0.0012343411 0.0031975268 0.001181578 0.0030316364 0.0048269196 0.014758882 0.0020928576 0.0016050234 0.002170884 0.0027792235 0.0021547868 0.0018187582 0.002019526 0.0078008743 0.0008504679 0.0007487426 0.001342997 0.004952343 0.0011276972 0.0032189896 0.00870813 0.11650583 0.017769279 0.015165783 0.020747928 0.033095587 0.029561138 0.012991322 0.021935543 0.08200397 0.005834335 0.005173009 0.010655665 0.047434602 0.010869176 0.023957528 0.058204062 0.044600826 0.009101169 0.008574881 0.010501177 0.01629035 0.01533771 0.007051014 0.010994153 0.034459822 0.002420614 0.002692254 0.0046757846 0.020613339 0.005397699 0.0107582845 0.021805648 0.0016282749 0.00077400624 0.00069910963 0.00087461364 0.00070223963 0.00064411096 0.00074069406 0.0007067111 0.00066490314 0.0006315909 0.0006262252 0.00071185327 0.0005815108 0.0006467938 0.00060006726 0.00067205745 5818.0 9.508594 55321.0 0.014370673 0.0022053109 0.002169158 0.0020787765 0.02857866 0.0032718135 0.003687569 0.0021149293 0.0067786193 0.003072974 0.0027295242 0.004157553 0.009960052 0.0036152636 0.015636016 0.0035971873 0.02763869 0.024927244 0.022306176 0.024168037 0.02866904 0.020245476 0.020968528 0.018871676 0.022703856 0.021510819 0.018636685 0.024529563 0.025379151 0.021836193 0.01905244 0.015184107 0.021348132 0.0071943747 0.004031019 0.007989733 0.022812314 0.0060013374 0.009417762 0.0048986822 0.00692323 0.005965185 0.002169158 0.003072974 0.013774155 0.0038683321 0.007031688 0.004537156 0.015310641 0.0061097955 0.009725059 0.011026554 0.013575315 0.0046817665 0.008839319 0.006543627 0.0055855825 0.0035429583 0.0026391426 0.0046817665 0.008983931 0.0031633556 0.0052059796 0.008242801 0.0053686667 0.013141483 0.00363334 0.009110465 0.014894886 0.02331845 0.0075378246 0.0061097955 0.009688906 0.013340323 0.009309304 0.0023499213 0.016286762 0.0054228953 0.011026554 0.011279623 0.00829703 0.0015184107 0.017461723 0.012364201 0.033224273 0.012328049 0.004012943 0.006597856 0.006200177 0.0042479346 0.002621066 0.0016991739 0.008604327 0.0014641818 0.0022595397 0.0017353266 6.19127 1.0 22.0 0.0 43.0 2237512.0 2236416.0 1.0 3.0 268.0 1.0 1.0 1.0 0.0 0.0 1541031200.0 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 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 -1.0 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 5.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1785344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -70656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 348672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1785344.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.659607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1023006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.332361 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.616558 0.0 3.4177256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70204.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 348566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1785084.0 0.0 1080.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 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 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 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 -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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -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 -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 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 2132496.0 60.0 2132620.0 1080.0 2158592.0 0.0 0.0 28160.0 2209352.0 70204.0 2162688.0 84.0 2004432.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2004520.0 0.0 0.0 1080.0 1789952.0 0.0 0.0 0.0 0.0