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a/src/apps/FEMSWEEP-Cuda.cpp b/src/apps/FEMSWEEP-Cuda.cpp index cb1965f43..9965c2642 100644 --- a/src/apps/FEMSWEEP-Cuda.cpp +++ b/src/apps/FEMSWEEP-Cuda.cpp @@ -32,6 +32,7 @@ __global__ void FEMSweep3D( const Real_ptr Bdat, const Real_ptr M0dat, const Index_type ne, const Index_type ng, + const Index_type sharedinteriorfaces, const Index_ptr nhpaa_r, const Index_ptr ohpaa_r, const Index_ptr phpaa_r, @@ -79,6 +80,7 @@ void FEMSWEEP::runCudaVariantImpl(VariantID vid) M0dat, ne, ng, + sharedinteriorfaces, nhpaa_r, ohpaa_r, phpaa_r, diff --git a/src/apps/FEMSWEEP-Hip.cpp b/src/apps/FEMSWEEP-Hip.cpp index d59871c15..5f23e179a 100644 --- a/src/apps/FEMSWEEP-Hip.cpp +++ b/src/apps/FEMSWEEP-Hip.cpp @@ -32,6 +32,7 @@ __global__ void FEMSweep3D( const Real_ptr Bdat, const Real_ptr M0dat, const Index_type ne, const Index_type ng, + const Index_type sharedinteriorfaces, const Index_ptr nhpaa_r, const Index_ptr ohpaa_r, const Index_ptr phpaa_r, @@ -79,6 +80,7 @@ void FEMSWEEP::runHipVariantImpl(VariantID vid) M0dat, ne, ng, + sharedinteriorfaces, nhpaa_r, ohpaa_r, phpaa_r, diff --git a/src/apps/FEMSWEEP.cpp b/src/apps/FEMSWEEP.cpp index fc51b2c3e..5dda34173 100644 --- a/src/apps/FEMSWEEP.cpp +++ b/src/apps/FEMSWEEP.cpp @@ -8,12 +8,13 @@ //~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~// #include "FEMSWEEP.hpp" -#include "FEMSWEEP_DATA.hpp" #include "RAJA/RAJA.hpp" #include "common/DataUtils.hpp" +#include +#include #include #include @@ -26,12 +27,63 @@ namespace apps FEMSWEEP::FEMSWEEP(const RunParams& params) : KernelBase(rajaperf::Apps_FEMSWEEP, params) { - m_nx = 15; - m_ny = 15; - m_nz = 15; + auto readOneLong = [=](std::ifstream & file, Index_type & val, std::string valname) { + + // Read next line for value. + std::string line; + if ( std::getline(file, line) ) + { + val = std::stol(line); + } + else + { + std::cout << "Unable to initialize " << valname << " properly in constructor. Please check the " << m_mesh_file << " file." << std::endl; + } + + }; + + m_mesh_file = params.getFemsweepMeshFile(); + + // Read problem size from file. + std::ifstream dataFile(m_mesh_file); + + if ( !dataFile.is_open() ) + { + std::cout << "Could not open " << m_mesh_file << " in constructor." << std::endl; + } + + std::string line; + while ( std::getline(dataFile, line) ) + { + + if ( line == std::string("m_nx") ) + { + readOneLong(dataFile, m_nx, "m_nx"); + } + + else if ( line == std::string("m_ny") ) + { + readOneLong(dataFile, m_ny, "m_ny"); + } + + else if ( line == std::string("m_nz") ) + { + readOneLong(dataFile, m_nz, "m_nz"); + } + + else if ( line == std::string("m_na") ) + { + readOneLong(dataFile, m_na, "m_na"); + } + + else if ( line == std::string("m_ng") ) + { + readOneLong(dataFile, m_ng, "m_ng"); + } + + } + m_ne = m_nx * m_ny * m_nz; - m_na = 72; - m_ng = 128; setDefaultProblemSize(ND * m_ne * m_ng * m_na); setDefaultReps(1); @@ -56,10 +108,15 @@ FEMSWEEP::FEMSWEEP(const RunParams& params) void FEMSWEEP::setSize(Index_type RAJAPERF_UNUSED_ARG(target_size), Index_type target_reps) { + m_sharedinteriorfaces = (m_nx - 1) * m_ny * m_nz + + m_nx * (m_ny - 1) * m_nz + + m_nx * m_ny * (m_nz - 1); + m_boundaryfaces = 2 * m_nx * m_ny + 2 * m_ny * m_nz + 2 * m_nx * m_nz; + m_hplanes = m_nx + m_ny + m_nz - 2; + m_Blen = ND * m_ne * m_na; m_Alen = ND * ND * m_ne * m_na; - // 9450 is a property of the mesh. Will need to derive this when mesh generator is available. - m_Flen = FDS * FDS * 2 * 9450 * m_na; + m_Flen = FDS * FDS * 2 * m_sharedinteriorfaces * m_na; m_Sglen = m_ne * m_ng; m_M0len = ND * ND * m_ne; m_Xlen = ND * m_ne * m_ng * m_na; @@ -116,6 +173,40 @@ FEMSWEEP::~FEMSWEEP() { } +template < typename T > +void FEMSWEEP::readIndexArray(VariantID vid, std::ifstream & file, T*& arr, Index_type expectedsize, std::string arrname) +{ + std::string line; + + // Read next line for array size. + if ( std::getline(file, line) ) + { + long sizetemp = std::stol(line); + // Check size for sanity. + if ( sizetemp != expectedsize ) + { + std::cout << "Size of " << arrname << " in " << m_mesh_file << " does not match." << std::endl; + } + auto temp_arr = allocDataForInit(arr, sizetemp, vid); + // Read rest of entries for array. + for ( int lcount = 0; lcount < sizetemp; ++lcount ) + { + if ( std::getline(file, line) ) + { + arr[lcount] = std::stol(line); + } + else + { + std::cout << "Invalid entry in " << m_mesh_file << " for " << arrname << "." << std::endl; + } + } + } + else + { + std::cout << "Invalid size entry in " << m_mesh_file << " for " << arrname << "." << std::endl; + } +} + void FEMSWEEP::setUp(VariantID vid, size_t RAJAPERF_UNUSED_ARG(tune_idx)) { allocAndInitDataRandValue (m_Bdat , m_Blen , vid); @@ -125,18 +216,65 @@ void FEMSWEEP::setUp(VariantID vid, size_t RAJAPERF_UNUSED_ARG(tune_idx)) allocAndInitDataRandValue (m_M0dat , m_M0len , vid); allocAndInitDataRandValue (m_Xdat , m_Xlen , vid); - // Some of the constants are properties of the mesh. - // Will need to derive these when mesh generator is available. - allocAndCopyHostData(m_nhpaa_r, g_nhpaa_r, m_na , vid); - allocAndCopyHostData(m_ohpaa_r, g_ohpaa_r, m_na , vid); - allocAndCopyHostData(m_phpaa_r, g_phpaa_r, m_na * 43 , vid); - allocAndCopyHostData(m_order_r, g_order_r, m_na * m_ne, vid); - - allocAndCopyHostData(m_AngleElem2FaceType, g_AngleElem2FaceType, NLF * m_ne * m_na , vid); - allocAndCopyHostData(m_elem_to_faces , g_elem_to_faces , NLF * m_ne , vid); - allocAndCopyHostData(m_F_g2l , g_F_g2l , 10800 , vid); - allocAndCopyHostData(m_idx1 , g_idx1 , 37800 , vid); - allocAndCopyHostData(m_idx2 , g_idx2 , 37800 , vid); + // Read mesh connectivity data from file. + std::ifstream dataFile(m_mesh_file); + + if ( !dataFile.is_open() ) + { + std::cout << "Could not open " << m_mesh_file << " in setUp." << std::endl; + } + + std::string line; + while ( std::getline(dataFile, line) ) + { + + if ( line == "m_nhpaa_r" ) + { + readIndexArray(vid, dataFile, m_nhpaa_r, m_na, "m_nhpaa_r"); + } + + else if ( line == std::string("m_ohpaa_r") ) + { + readIndexArray(vid, dataFile, m_ohpaa_r, m_na, "m_ohpaa_r"); + } + + else if ( line == std::string("m_phpaa_r") ) + { + readIndexArray(vid, dataFile, m_phpaa_r, m_na * m_hplanes, "m_phpaa_r"); + } + + else if ( line == std::string("m_order_r") ) + { + readIndexArray(vid, dataFile, m_order_r, m_na * m_ne, "m_order_r"); + } + + else if ( line == std::string("m_AngleElem2FaceType") ) + { + readIndexArray(vid, dataFile, m_AngleElem2FaceType, NLF * m_na * m_ne, "m_AngleElem2FaceType"); + } + + else if ( line == std::string("m_elem_to_faces") ) + { + readIndexArray(vid, dataFile, m_elem_to_faces, NLF * m_ne, "m_elem_to_faces"); + } + + else if ( line == std::string("m_F_g2l") ) + { + readIndexArray(vid, dataFile, m_F_g2l, m_sharedinteriorfaces + m_boundaryfaces, "m_F_g2l"); + } + + else if ( line == std::string("m_idx1") ) + { + readIndexArray(vid, dataFile, m_idx1, m_sharedinteriorfaces * 4, "m_idx1"); + } + + else if ( line == std::string("m_idx2") ) + { + readIndexArray(vid, dataFile, m_idx2, m_sharedinteriorfaces * 4, "m_idx2"); + } + + } + } void FEMSWEEP::updateChecksum(VariantID vid, size_t RAJAPERF_UNUSED_ARG(tune_idx)) diff --git a/src/apps/FEMSWEEP.hpp b/src/apps/FEMSWEEP.hpp index 45f9bdd52..e220b6f08 100644 --- a/src/apps/FEMSWEEP.hpp +++ b/src/apps/FEMSWEEP.hpp @@ -64,7 +64,7 @@ /// // data can result in exponential growth instead. A specific trick of /// // multiplying by zero, without the compiler optimizing it away, is /// // necessary to prevent unbounded growth and avoid computing NaNs. -/// F += Ffactor * Fdat[i + j * FDS + (s ^ 1) * FDS * FDS + f * 2 * FDS * FDS + a * 9450 * 2 * FDS * FDS] * Xdat[dis + g * ND * ne + a * ng * ND * ne]; +/// F += Ffactor * Fdat[i + j * FDS + (s ^ 1) * FDS * FDS + f * 2 * FDS * FDS + a * sharedinteriorfaces * 2 * FDS * FDS] * Xdat[dis + g * ND * ne + a * ng * ND * ne]; /// } // i /// b[djs % ND] -= F; /// } // j @@ -104,6 +104,7 @@ constexpr int FDS = 4; // number of DOFs per face Index_type ne = m_ne; \ Index_type na = m_na; \ Index_type ng = m_ng; \ + Index_type sharedinteriorfaces = m_sharedinteriorfaces; \ \ Index_ptr nhpaa_r = m_nhpaa_r; \ Index_ptr ohpaa_r = m_ohpaa_r; \ @@ -157,7 +158,7 @@ constexpr int FDS = 4; // number of DOFs per face { \ const int ffi = f * FDS + i; \ const int dis = s == 0 ? idx2[ffi] : idx1[ffi]; \ - F += Ffactor * Fdat[i + j * FDS + (s ^ 1) * FDS * FDS + f * 2 * FDS * FDS + a * 9450 * 2 * FDS * FDS] * Xdat[dis + g * ND * ne + a * ng * ND * ne]; \ + F += Ffactor * Fdat[i + j * FDS + (s ^ 1) * FDS * FDS + f * 2 * FDS * FDS + a * sharedinteriorfaces * 2 * FDS * FDS] * Xdat[dis + g * ND * ne + a * ng * ND * ne]; \ } \ b[djs % ND] -= F; \ } \ @@ -299,6 +300,9 @@ class FEMSWEEP : public KernelBase template < size_t block_size > void runHipVariantImpl(VariantID vid); + template < typename T > + void readIndexArray(VariantID vid, std::ifstream & file, T*& arr, Index_type expectedsize, std::string arrname); + private: #if defined(RAJA_ENABLE_HIP) static const size_t default_gpu_block_size = 64; @@ -308,6 +312,8 @@ class FEMSWEEP : public KernelBase using gpu_block_sizes_type = integer::make_gpu_block_size_list_type>; + std::string m_mesh_file; // Path to file name of femsweep mesh. + Index_type m_nx; Index_type m_ny; Index_type m_nz; @@ -315,6 +321,10 @@ class FEMSWEEP : public KernelBase Index_type m_na; Index_type m_ng; + Index_type m_sharedinteriorfaces; + Index_type m_boundaryfaces; + Index_type m_hplanes; + Real_ptr m_Bdat; Real_ptr m_Adat; Real_ptr m_Fdat; @@ -322,17 +332,6 @@ class FEMSWEEP : public KernelBase Real_ptr m_M0dat; Real_ptr m_Xdat; - Index_ptr m_nhpaa_r; - Index_ptr m_ohpaa_r; - Index_ptr m_phpaa_r; - Index_ptr m_order_r; - - Index_ptr m_AngleElem2FaceType; - Index_ptr m_elem_to_faces ; - Index_ptr m_F_g2l ; - Index_ptr m_idx1 ; - Index_ptr m_idx2 ; - Index_type m_Blen; Index_type m_Alen; Index_type m_Flen; @@ -352,16 +351,16 @@ class FEMSWEEP : public KernelBase Index_type m_idx2len; // Mesh data - static Index_type g_nhpaa_r[72]; - static Index_type g_ohpaa_r[72]; - static Index_type g_phpaa_r[3096]; - static Index_type g_order_r[243000]; - - static Index_type g_AngleElem2FaceType[1458000]; - static Index_type g_elem_to_faces[20250] ; - static Index_type g_F_g2l[10800] ; - static Index_type g_idx1[37800] ; - static Index_type g_idx2[37800] ; + Index_ptr m_nhpaa_r; + Index_ptr m_ohpaa_r; + Index_ptr m_phpaa_r; + Index_ptr m_order_r; + + Index_ptr m_AngleElem2FaceType; + Index_ptr m_elem_to_faces ; + Index_ptr m_F_g2l ; + Index_ptr m_idx1 ; + Index_ptr m_idx2 ; }; } // end namespace apps diff --git a/src/apps/FEMSWEEP_DATA.hpp b/src/apps/FEMSWEEP_DATA.hpp deleted file mode 100644 index 8334d3b67..000000000 --- a/src/apps/FEMSWEEP_DATA.hpp +++ /dev/null @@ -1,49 +0,0 @@ -//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~// -// Copyright (c) Lawrence Livermore National Security, LLC and other -// RAJA Project Developers. See top-level LICENSE and COPYRIGHT -// files for dates and other details. No copyright assignment is required -// to contribute to RAJA Performance Suite. -// -// SPDX-License-Identifier: (BSD-3-Clause) -//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~// - -#ifndef RAJAPerf_Apps_FEMSWEEP_DATA_HPP -#define RAJAPerf_Apps_FEMSWEEP_DATA_HPP - -//d_nhpaa_r size 72: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_nhpaa_r[72] = -{43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43}; - -//d_ohpaa_r size 72: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_ohpaa_r[72] = -{0,43,86,129,172,215,258,301,344,387,430,473,516,559,602,645,688,731,774,817,860,903,946,989,1032,1075,1118,1161,1204,1247,1290,1333,1376,1419,1462,1505,1548,1591,1634,1677,1720,1763,1806,1849,1892,1935,1978,2021,2064,2107,2150,2193,2236,2279,2322,2365,2408,2451,2494,2537,2580,2623,2666,2709,2752,2795,2838,2881,2924,2967,3010,3053}; - -//d_phpaa_r size 3096: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_phpaa_r[3096] = 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0,165,168,169,168,165,160,153,144,133,120,105,91,78,66,55,45,36,28,21,15,10,6,3,1}; - -//d_order_r size 243000, dimensions ne 3375 x na 72: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_order_r[243000] = 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,951,969,1009,1007,1077,1279,1290,1286,971,973,1005,1003,1259,1261,1249,1153,1166,1163,1206,1263,1265,1168,1165,1190,1186,1223,1172,1192,1188,1219,212,208,198,192,3199,3201,3233,3237,2075,2083,2085,12,214,220,194,184,3205,3227,3231,1966,2073,2087,2089,16,18,224,226,182,176,3215,3221,1968,1941,2097,2101,2109,24,22,42,230,138,178,172,3219,1972,1937,1939,2099,2115,2111,486,480,470,468,372,370,338,340,1976,1978,2001,1843,2163,2150,2144,482,476,464,392,368,366,342,1616,1982,1999,1845,1841,2167,2146,450,454,388,390,356,352,1614,1605,1995,1813,1817,1831,2169,448,444,386,410,358,1589,1608,1610,1811,1815,1827,1825,934,930,898,896,1024,1030,1040,1044,2275,2262,2256,932,954,900,1016,1028,1038,1042,1282,2279,2258,944,950,1014,1008,1078,1074,1280,1284,2281,948,970,1010,1004,1076,1256,1248,1250,1152,1154,1160,1162,1258,1262,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753,2415,2418,2405,643,645,657,661,2714,2701,2699,2434,2430,2399,2403,688,684,680,678,804,2721,2730,2436,2432,2392,2396,2376,2952,2954,2956,2942,2932,2988,2938,2936,2986,2990,2878,2880,2901,2614,2610,2854,2856,2899,2616,2612,2590,2868,2858,2860,2624,2630,2598,2592,614,2837,2839,2684,2628,2634,2594,2572,669,664,2840,2711,2704,2754,2752,2416,2421,642,671,662,2713,2707,2700,2733,2429,2419,2400,687,685,679,677,2722,2729,2731,2435,2431,2398,2402,2953,2933,2929,2935,2931,2987,2879,2881,2904,2609,2855,2885,2902,2615,2611,2853,2859,2898,2625,2601,2599,2836,2845,2843,2627,2629,2597,2595,666,2834,2841,2710,2757,2755,2751,2422,668,665,2828,2708,2706,2734,2738,2417,2420,686,672,676,2724,2723,2728,2732,2428,2426,2401,2928,2934,2930,2882,2924,2905,2886,2884,2903,2608,2852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91,1807,1801,958,956,1020,1022,1032,1036,1297,1295,2277,952,964,1018,996,1034,1278,1291,1287,968,974,1006,1000,1276,1274,1289,972,978,1002,1320,1260,1266,1169,1164,1204,1207,1264,1171,1193,1189,1218,1198,1194,1216,11,215,219,193,191,3200,3228,3232,1965,2074,2084,2090,15,13,223,221,187,185,3226,3230,1967,1946,2094,2088,2129,27,17,45,225,137,177,175,3222,1973,1942,1940,2096,2114,2110,25,31,41,43,139,141,173,171,1975,1932,1936,1916,2116,2112,2143,481,479,471,395,371,365,341,1623,1977,1998,1844,1840,2164,2145,477,475,393,399,367,361,1619,1617,1996,1850,1846,1832,2166,449,443,389,411,359,1586,1607,1604,1810,1814,1828,1830,447,445,413,409,1590,1588,1609,1788,1808,1806,1826,933,957,899,1023,1031,1039,1043,1296,2276,2257,953,955,1019,1017,1033,1037,1281,1285,2278,951,969,1009,1007,1077,1279,1290,1286,971,973,1005,1003,1259,1261,1249,1153,1166,1163,1206,1263,1265,1168,1165,1190,1186,1223,1172,1192,1188,1219,212,208,198,192,3199,3201,3233,3237,2075,2083,2085,12,214,220,194,184,3205,3227,3231,1966,2073,2087,2089,16,18,224,226,182,176,3215,3221,1968,1941,2097,2101,2109,24,22,42,230,138,178,172,3219,1972,1937,1939,2099,2115,2111,486,480,470,468,372,370,338,340,1976,1978,2001,1843,2163,2150,2144,482,476,464,392,368,366,342,1616,1982,1999,1845,1841,2167,2146,450,454,388,390,356,352,1614,1605,1995,1813,1817,1831,2169,448,444,386,410,358,1589,1608,1610,1811,1815,1827,1825,934,930,898,896,1024,1030,1040,1044,2275,2262,2256,932,954,900,1016,1028,1038,1042,1282,2279,2258,944,950,1014,1008,1078,1074,1280,1284,2281,948,970,1010,1004,1076,1256,1248,1250,1152,1154,1160,1162,1258,1262,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753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02,1852,1848,1836,1838,439,433,401,407,1583,1581,1600,1746,1854,1858,1834,441,419,415,1567,1585,1594,1786,1790,1804,1802,421,417,1565,1563,1592,1780,1784,1792,1800,959,963,1021,997,1035,1298,1292,1294,967,965,995,999,1277,1273,1288,975,977,1001,1323,1275,1269,979,981,1321,1319,1267,1170,1203,1205,1208,1199,1195,1217,1197,1215,8,10,216,218,188,190,3225,3229,1964,1949,2093,2091,2126,6,14,50,222,132,186,164,3223,1960,1945,1947,2095,2130,2128,26,28,46,44,136,142,174,168,1974,1933,1943,1915,2119,2113,2142,30,32,40,116,140,146,170,1624,1931,1935,1919,1917,2117,2140,478,472,394,396,364,362,1620,1622,1997,1851,1847,1839,2165,474,438,398,400,360,1580,1618,1603,1853,1849,1835,1833,440,442,412,408,1584,1587,1606,1789,1809,1805,1829,446,418,414,1564,1591,1593,1787,1791,1807,1801,958,956,1020,1022,1032,1036,1297,1295,2277,952,964,1018,996,1034,1278,1291,1287,968,974,1006,1000,1276,1274,1289,972,978,1002,1320,1260,1266,1169,1164,1204,1207,1264,1171,1193,1189,1218,1198,1194,1216,11,215,219,193,191,3200,3228,3232,1965,2074,2084,2090,15,13,223,221,187,185,3226,3230,1967,1946,2094,2088,2129,27,17,45,225,137,177,175,3222,1973,1942,1940,2096,2114,2110,25,31,41,43,139,141,173,171,1975,1932,1936,1916,2116,2112,2143,481,479,471,395,371,365,341,1623,1977,1998,1844,1840,2164,2145,477,475,393,399,367,361,1619,1617,1996,1850,1846,1832,2166,449,443,389,411,359,1586,1607,1604,1810,1814,1828,1830,447,445,413,409,1590,1588,1609,1788,1808,1806,1826,933,957,899,1023,1031,1039,1043,1296,2276,2257,953,955,1019,1017,1033,1037,1281,1285,2278,951,969,1009,1007,1077,1279,1290,1286,971,973,1005,1003,1259,1261,1249,1153,1166,1163,1206,1263,1265,1168,1165,1190,1186,1223,1172,1192,1188,1219,212,208,198,192,3199,3201,3233,3237,2075,2083,2085,12,214,220,194,184,3205,3227,3231,1966,2073,2087,2089,16,18,224,226,182,176,3215,3221,1968,1941,2097,2101,2109,24,22,42,230,138,178,172,3219,1972,1937,1939,2099,2115,2111,486,480,470,468,372,370,338,340,1976,1978,2001,1843,2163,2150,2144,482,476,464,392,368,366,342,1616,1982,1999,1845,1841,2167,2146,450,454,388,390,356,352,1614,1605,1995,1813,1817,1831,2169,448,444,386,410,358,1589,1608,1610,1811,1815,1827,1825,934,930,898,896,1024,1030,1040,1044,2275,2262,2256,932,954,900,1016,1028,1038,1042,1282,2279,2258,944,950,1014,1008,1078,1074,1280,1284,2281,948,970,1010,1004,1076,1256,1248,1250,1152,1154,1160,1162,1258,1262,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,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2,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753,2415,2418,2405,643,645,657,661,2714,2701,2699,2434,2430,2399,2403,688,684,680,678,804,2721,2730,2436,2432,2392,2396,2376,2952,2954,2956,2942,2932,2988,2938,2936,2986,2990,2878,2880,2901,2614,2610,2854,2856,2899,2616,2612,2590,2868,2858,2860,2624,2630,2598,2592,614,2837,2839,2684,2628,2634,2594,2572,669,664,2840,2711,2704,2754,2752,2416,2421,642,671,662,2713,2707,2700,2733,2429,2419,2400,687,685,679,677,2722,2729,2731,2435,2431,2398,2402,2953,2933,2929,2935,2931,2987,2879,2881,2904,2609,2855,2885,2902,2615,2611,2853,2859,2898,2625,2601,2599,2836,2845,2843,2627,2629,2597,2595,666,2834,2841,2710,2757,2755,2751,2422,668,665,2828,2708,2706,2734,2738,2417,2420,686,672,676,2724,2723,2728,2732,2428,2426,2401,2928,2934,2930,2882,2924,2905,2886,2884,2903,2608,2852,2888,2897,2606,2600,2850,2844,2895,2626,2602,2596,2835,2846,2842,2758,2756,2750,2748,667,2833,2827,2709,2777,2737,2741,2423,673,675,2829,2725,2727,2735,2739,2427,2425,2927,2923,2925,2883,2921,2906,2887,2890,2909,2607,2851,2894,2896,2605,2603,2849,2847,2802,2759,2762,2749,2832,2821,2826,2778,2774,2743,2747,674,2830,2825,2726,2776,2736,2740,2424,2926,2922,2920,2889,2910,2907,2893,2891,2912,2604,2848,2803,2800,2760,2765,2818,2820,2781,2773,2763,2744,2831,2822,2824,2779,2775,2742,2746,2919,2917,2908,2892,2911,2913,2804,2801,2799,2766,2819,2782,2786,2761,2764,2817,2823,2780,2772,2770,2745,2918,2916,2914,2805,2798,2796,2814,2785,2789,2767,2816,2783,2787,2771,2769,2915,2806,2797,2813,2791,2795,2815,2784,2788,2768,2808,2807,2792,2812,2790,2794,2809,2811,2793,2810,1441,1446,1440,1442,1449,1447,1439,1445,1443,1417,145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3,1259,1261,1249,1153,1166,1163,1206,1263,1265,1168,1165,1190,1186,1223,1172,1192,1188,1219,212,208,198,192,3199,3201,3233,3237,2075,2083,2085,12,214,220,194,184,3205,3227,3231,1966,2073,2087,2089,16,18,224,226,182,176,3215,3221,1968,1941,2097,2101,2109,24,22,42,230,138,178,172,3219,1972,1937,1939,2099,2115,2111,486,480,470,468,372,370,338,340,1976,1978,2001,1843,2163,2150,2144,482,476,464,392,368,366,342,1616,1982,1999,1845,1841,2167,2146,450,454,388,390,356,352,1614,1605,1995,1813,1817,1831,2169,448,444,386,410,358,1589,1608,1610,1811,1815,1827,1825,934,930,898,896,1024,1030,1040,1044,2275,2262,2256,932,954,900,1016,1028,1038,1042,1282,2279,2258,944,950,1014,1008,1078,1074,1280,1284,2281,948,970,1010,1004,1076,1256,1248,1250,1152,1154,1160,1162,1258,1262,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753,2415,2418,2405,643,645,657,661,2714,2701,2699,2434,2430,2399,2403,688,684,680,678,804,2721,2730,2436,2432,2392,2396,2376,2952,2954,2956,2942,2932,2988,2938,2936,2986,2990,2878,2880,2901,2614,2610,2854,2856,2899,2616,2612,2590,2868,2858,2860,2624,2630,2598,2592,614,2837,2839,2684,2628,2634,2594,2572,669,664,2840,2711,2704,2754,2752,2416,2421,642,671,662,2713,2707,2700,2733,2429,2419,2400,687,685,679,677,2722,2729,2731,2435,2431,2398,2402,2953,2933,2929,2935,2931,2987,2879,2881,2904,2609,2855,2885,2902,2615,2611,2853,2859,2898,2625,2601,2599,2836,2845,2843,2627,2629,2597,2595,666,2834,2841,2710,2757,2755,2751,2422,668,665,2828,2708,2706,2734,2738,2417,2420,686,672,676,2724,2723,2728,2732,2428,2426,2401,2928,2934,2930,2882,2924,2905,2886,2884,2903,2608,2852,2888,2897,2606,2600,2850,2844,2895,2626,2602,2596,2835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,952,964,1018,996,1034,1278,1291,1287,968,974,1006,1000,1276,1274,1289,972,978,1002,1320,1260,1266,1169,1164,1204,1207,1264,1171,1193,1189,1218,1198,1194,1216,11,215,219,193,191,3200,3228,3232,1965,2074,2084,2090,15,13,223,221,187,185,3226,3230,1967,1946,2094,2088,2129,27,17,45,225,137,177,175,3222,1973,1942,1940,2096,2114,2110,25,31,41,43,139,141,173,171,1975,1932,1936,1916,2116,2112,2143,481,479,471,395,371,365,341,1623,1977,1998,1844,1840,2164,2145,477,475,393,399,367,361,1619,1617,1996,1850,1846,1832,2166,449,443,389,411,359,1586,1607,1604,1810,1814,1828,1830,447,445,413,409,1590,1588,1609,1788,1808,1806,1826,933,957,899,1023,1031,1039,1043,1296,2276,2257,953,955,1019,1017,1033,1037,1281,1285,2278,951,969,1009,1007,1077,1279,1290,1286,971,973,1005,1003,1259,1261,1249,1153,1166,1163,1206,1263,1265,1168,1165,1190,1186,1223,1172,1192,1188,1219,212,208,198,192,3199,3201,3233,3237,2075,2083,2085,12,214,220,194,184,3205,3227,3231,1966,2073,2087,2089,16,18,224,226,182,176,3215,3221,1968,1941,2097,2101,2109,24,22,42,230,138,178,172,3219,1972,1937,1939,2099,2115,2111,486,480,470,468,372,370,338,340,1976,1978,2001,1843,2163,2150,2144,482,476,464,392,368,366,342,1616,1982,1999,1845,1841,2167,2146,450,454,388,390,356,352,1614,1605,1995,1813,1817,1831,2169,448,444,386,410,358,1589,1608,1610,1811,1815,1827,1825,934,930,898,896,1024,1030,1040,1044,2275,2262,2256,932,954,900,1016,1028,1038,1042,1282,2279,2258,944,950,1014,1008,1078,1074,1280,1284,2281,948,970,1010,1004,1076,1256,1248,1250,1152,1154,1160,1162,1258,1262,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753,2415,2418,2405,643,645,657,661,2714,2701,2699,2434,243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21,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823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7,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753,2415,2418,2405,643,645,657,661,2714,2701,2699,2434,2430,2399,2403,688,684,680,678,804,2721,2730,2436,2432,2392,2396,2376,2952,2954,2956,2942,2932,2988,2938,2936,2986,2990,2878,2880,2901,2614,2610,2854,2856,2899,2616,2612,2590,2868,2858,2860,2624,2630,2598,2592,614,2837,2839,2684,2628,2634,2594,2572,669,664,2840,2711,2704,2754,2752,2416,2421,642,671,662,2713,2707,2700,2733,2429,2419,2400,687,685,679,677,2722,2729,2731,2435,2431,2398,2402,2953,2933,2929,2935,2931,2987,2879,2881,2904,2609,2855,2885,2902,2615,2611,2853,2859,2898,2625,2601,2599,2836,2845,2843,2627,2629,2597,2595,666,2834,2841,2710,2757,2755,2751,2422,668,665,2828,2708,2706,2734,2738,2417,2420,686,672,676,2724,2723,2728,2732,2428,2426,2401,2928,2934,2930,2882,2924,2905,2886,2884,2903,2608,2852,2888,2897,2606,2600,2850,2844,2895,2626,2602,2596,2835,2846,2842,2758,2756,2750,2748,667,2833,2827,2709,2777,2737,2741,2423,673,675,2829,2725,2727,2735,2739,2427,2425,2927,2923,2925,2883,2921,2906,2887,2890,2909,2607,2851,2894,2896,2605,2603,2849,2847,2802,2759,2762,2749,2832,2821,2826,2778,2774,2743,2747,674,2830,2825,2726,2776,2736,2740,2424,2926,2922,2920,2889,2910,2907,2893,2891,2912,2604,2848,2803,2800,2760,2765,2818,2820,2781,2773,2763,2744,2831,2822,2824,2779,2775,2742,2746,2919,2917,2908,2892,2911,2913,2804,2801,2799,2766,2819,2782,2786,2761,2764,2817,2823,2780,2772,2770,2745,2918,2916,2914,2805,2798,2796,2814,2785,2789,2767,2816,2783,2787,2771,2769,2915,2806,2797,2813,2791,2795,2815,2784,2788,2768,2808,2807,2792,2812,2790,2794,2809,2811,2793,2810,1441,1446,1440,1442,1449,1447,1439,1445,1443,1417,1454,1448,1438,1436,1450,1444,1432,1418,1422,1416,1506,145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5,1190,1186,1223,1172,1192,1188,1219,212,208,198,192,3199,3201,3233,3237,2075,2083,2085,12,214,220,194,184,3205,3227,3231,1966,2073,2087,2089,16,18,224,226,182,176,3215,3221,1968,1941,2097,2101,2109,24,22,42,230,138,178,172,3219,1972,1937,1939,2099,2115,2111,486,480,470,468,372,370,338,340,1976,1978,2001,1843,2163,2150,2144,482,476,464,392,368,366,342,1616,1982,1999,1845,1841,2167,2146,450,454,388,390,356,352,1614,1605,1995,1813,1817,1831,2169,448,444,386,410,358,1589,1608,1610,1811,1815,1827,1825,934,930,898,896,1024,1030,1040,1044,2275,2262,2256,932,954,900,1016,1028,1038,1042,1282,2279,2258,944,950,1014,1008,1078,1074,1280,1284,2281,948,970,1010,1004,1076,1256,1248,1250,1152,1154,1160,1162,1258,1262,1246,1148,1167,1177,1185,1224,1222,1173,1175,1191,1187,1220,211,207,199,3198,3202,3260,3236,3289,2076,2082,213,209,197,195,3206,3204,3234,3238,2072,2080,2086,19,233,227,253,183,3214,3216,3240,1969,2070,2102,2106,23,21,231,229,181,179,3218,3220,1971,1938,2098,2100,2108,487,489,469,281,373,333,339,3092,1979,2021,2002,2160,2153,2151,485,483,465,467,375,369,337,343,1983,1981,2000,1842,2162,2149,2147,509,453,463,391,377,355,351,1615,1985,1994,1818,1822,2168,2189,451,455,387,385,357,353,1613,1611,1992,1812,1816,1824,2170,537,929,925,897,895,1025,1051,1047,2272,2265,2263,2255,935,931,901,903,1027,1029,1041,1045,2274,2261,2259,943,945,905,1015,1083,1073,1069,1283,2280,2301,947,949,1013,1011,1079,1075,1255,1251,2282,770,1155,1159,1161,1099,1257,1247,1245,1151,1147,1178,1182,1229,1225,1241,1149,1174,1176,1184,1227,1221,204,200,3191,3197,3259,3261,3292,3290,2077,210,206,196,3195,3203,3257,3235,3287,2079,2081,234,238,250,252,3207,3213,3245,3239,2071,2065,2105,20,232,228,254,180,3211,3217,3241,1970,2069,2103,2107,488,490,280,282,330,332,3093,3076,2020,2022,2046,2159,2152,484,494,466,286,374,334,336,3091,1980,2018,2003,2161,2155,2148,510,506,462,460,376,378,348,344,1984,1987,2006,1821,2174,2186,2188,508,452,456,384,382,354,350,1612,1991,1993,1819,1823,2171,2190,538,542,926,922,892,894,1050,1048,2512,2271,2264,2254,2252,536,928,924,902,851,1026,1052,1046,2273,2267,2260,2248,936,942,910,904,1084,1082,1070,1066,2286,2298,2300,940,946,906,1012,1080,1072,1068,1252,2283,2302,769,764,1156,1158,1096,1100,1254,1244,2326,771,1145,1141,1181,1098,1230,1240,1242,1150,1146,1179,1183,1228,1226,1238,203,3190,3192,3177,3262,3264,3291,3297,205,201,3194,3196,3258,3256,3293,3288,2078,237,241,251,3154,3208,3248,3246,3286,2066,2062,235,239,249,255,3210,3212,3244,3242,2068,2064,2104,491,279,283,257,331,3096,3073,3075,2023,2025,2047,2158,495,493,287,285,329,335,3094,3077,2019,2017,2044,2156,2154,505,497,461,289,379,325,347,3090,1986,2007,2004,2177,2175,2187,511,507,457,459,383,381,349,345,1990,1988,2009,1820,2172,2185,2191,513,541,545,921,891,893,881,1049,2510,2513,2270,2229,2253,2195,539,543,927,923,852,850,1053,1055,2501,2268,2266,2249,2251,535,937,913,911,848,1085,1059,1065,2289,2287,2299,2247,939,941,909,907,1087,1081,1071,1067,2284,2297,2303,753,766,763,1157,1095,1103,1107,1253,2324,2305,768,765,1142,1138,1097,1101,1233,1243,2327,772,1144,1140,1180,1130,1231,1239,1237,3187,3180,3178,3322,3263,3265,3296,202,3189,3193,3176,3255,3269,3294,3298,242,246,3155,3153,3253,3247,3279,3285,2061,236,240,248,3151,3209,3249,3243,3283,2067,2063,276,272,262,256,3097,3068,3074,3034,2024,2026,2048,492,278,284,258,328,3095,3072,3078,2016,2030,2045,2157,496,498,288,290,324,326,3087,3080,2014,2005,2043,2176,2182,504,502,458,294,380,322,346,3089,1989,2008,2010,2178,2173,2184,512,514,546,550,890,888,880,882,2509,2511,2514,2230,2226,2194,2192,518,540,544,920,857,853,876,1054,2502,2496,2269,2228,2250,2196,528,534,918,912,855,849,1058,1056,2500,2288,2294,2240,2246,532,938,914,908,847,1086,1060,1064,2290,2285,2296,2244,752,754,760,762,1088,1094,1104,1108,2323,2310,2304,748,767,777,1137,1092,1102,1106,1234,2325,2306,773,775,1143,1139,1131,1129,1232,1236,2328,3186,3179,3321,3319,3266,3309,3188,3182,3175,3323,3270,3268,3295,245,3161,3156,3173,3254,3278,3280,3299,243,247,3158,3152,3252,3250,3282,3284,2060,275,271,263,3150,3065,3067,3035,3033,2027,2058,277,273,261,259,3098,3069,3071,3031,2031,2029,2049,499,297,291,317,327,3100,3086,3079,2015,2033,2042,2181,503,501,295,293,323,321,3088,3082,2013,2011,2040,2179,2183,515,573,549,587,889,887,883,2508,2517,2515,2545,2225,2221,2193,519,517,547,551,858,862,879,875,2505,2495,2497,2231,2227,2197,2199,527,529,553,919,856,854,877,1057,2503,2499,2293,2239,2241,2201,531,533,917,915,840,846,1061,1063,2470,2291,2295,2243,2245,722,755,759,761,844,1089,1118,1111,2320,2313,2311,2361,751,747,778,782,1091,1093,1105,1109,2322,2309,2307,749,774,776,1136,1132,1128,1126,1235,2329,2338,3185,3364,3320,3318,3310,3183,3181,3324,3326,3267,3308,3164,3162,3174,3330,3271,3277,3302,244,3159,3157,3172,3251,3275,3281,3300,268,264,3143,3149,3066,3042,3036,3012,2059,274,270,260,3147,3064,3070,3038,3032,2028,2057,298,302,314,316,3099,3060,3085,3030,2032,2035,2050,500,296,292,318,320,3101,3083,3081,2012,2039,2041,2180,572,574,584,588,886,884,2669,2518,2516,2546,2550,2222,2218,516,570,548,586,861,865,873,2507,2489,2494,2544,2224,2220,2198,520,526,558,552,859,863,878,874,2504,2493,2498,2232,2238,2206,2200,524,530,554,916,839,841,821,1062,2464,2471,2292,2236,2242,2202,721,716,756,758,843,845,1117,1112,2469,2319,2312,2362,2360,723,745,741,781,787,1090,1119,1110,2321,2315,2308,2341,750,746,779,783,1135,1133,1127,1125,2330,2337,2339,3363,3365,3315,3311,3184,3361,3325,3317,3307,3163,3169,3329,3327,3272,3303,3165,3160,3171,3331,3274,3276,3301,267,3142,3144,3129,3043,3041,3009,3011,269,265,3146,3148,3063,3039,3037,3013,2056,301,305,315,3106,3059,3061,3027,3023,2034,2051,299,303,313,319,3102,3057,3084,3029,2038,2036,2052,575,583,591,595,885,2668,2649,2519,2521,2549,2553,2217,571,569,585,589,866,870,2670,2486,2488,2547,2551,2223,2219,521,561,559,629,860,864,872,2506,2490,2492,2543,2233,2209,2207,523,525,557,555,836,832,820,822,2463,2465,2472,2235,2237,2205,2203,705,718,715,757,838,842,818,1114,2466,2468,2318,2365,2363,2359,720,717,742,738,788,786,1116,1113,2453,2316,2314,2342,2346,724,744,740,780,784,1134,1120,1124,2332,2331,2336,2340,3366,3370,3314,3362,3360,3316,3312,3168,3356,3328,3338,3306,3166,3170,3332,3334,3273,3304,3139,3132,3130,2970,3044,3004,3010,266,3141,3145,3128,3046,3040,3008,3014,306,310,3107,3105,3062,3048,3026,3022,2055,300,304,312,3103,3058,3056,3028,3024,2037,2053,576,582,592,596,2667,2654,2648,2520,2522,2554,2558,568,580,590,594,869,2671,2650,2487,2526,2548,2552,2216,566,560,630,626,867,871,2673,2485,2491,2536,2542,2214,2208,522,562,556,628,835,831,823,2462,2477,2475,2540,2234,2210,2204,704,706,712,714,837,833,819,817,2460,2467,2473,2366,2364,2358,2356,700,719,729,737,793,789,813,1115,2454,2448,2317,2385,2345,2349,725,727,743,739,791,785,1121,1123,2452,2333,2335,2343,2347,3367,3371,3359,3369,3313,3355,3357,3339,3337,3167,3353,3333,3335,3305,3138,3131,2969,2967,3001,3003,3140,3134,3127,2971,3045,3005,3007,309,3113,3108,3125,3047,3049,3019,3015,307,311,3110,3104,3055,3053,3025,3021,2054,577,603,599,2664,2657,2655,2647,2523,2581,2557,579,581,593,597,2666,2653,2651,2527,2525,2555,2559,567,635,625,621,868,2672,2693,2484,2535,2537,2561,2215,565,563,631,627,828,824,2674,2482,2476,2539,2541,2213,2211,707,711,713,651,834,830,816,2461,2478,2474,2409,2367,2370,2357,703,699,730,734,794,798,812,814,2459,2447,2449,2386,2382,2351,2355,701,726,728,736,792,790,810,1122,2455,2451,2334,2384,2344,2348,3374,3368,3372,3358,3346,3340,3354,3352,3342,3336,3137,2948,2968,2966,3002,3135,3133,2972,2974,3000,3006,3116,3114,3126,2978,3050,2996,3018,308,3111,3109,3124,3054,3052,3020,3016,602,600,2872,2663,2656,2646,2644,2580,2582,578,604,598,2665,2659,2652,2640,2524,2578,2556,636,634,622,618,2678,2690,2692,2528,2534,2566,2560,564,632,624,620,827,2675,2694,2483,2532,2538,2562,2212,708,710,648,652,829,825,2718,2481,2479,2410,2408,2368,2373,697,693,733,650,797,801,815,2458,2441,2446,2389,2381,2371,2352,702,698,731,735,795,799,811,809,2456,2445,2450,2387,2383,2350,2354,3373,3347,3345,3351,3343,3341,2947,2949,2959,2965,3136,2945,2973,2963,2999,3115,3121,2977,2975,2995,2997,3117,3112,3123,2979,3051,2993,3017,601,2871,2873,2662,2621,2645,2587,2583,605,607,2864,2660,2658,2641,2643,2579,2577,637,611,617,2681,2679,2691,2639,2529,2569,2567,639,633,623,619,2676,2689,2695,2531,2533,2565,2563,709,647,655,659,826,2716,2697,2480,2413,2411,2407,2374,694,690,649,653,802,806,2719,2438,2440,2390,2394,2369,2372,696,692,732,682,796,800,808,2457,2442,2444,2388,2380,2378,2353,3348,3350,3344,2950,2958,2960,2946,2944,2962,2964,3120,2940,2976,2984,2998,3118,3122,2980,2982,2994,2992,2870,2876,2874,2622,2618,2586,2584,606,2867,2863,2661,2620,2642,2588,2576,610,608,2865,2680,2686,2632,2638,2574,2568,638,612,616,2682,2677,2688,2636,2530,2570,2564,640,646,656,660,2715,2702,2696,2414,2412,2406,2404,689,644,654,658,805,2717,2698,2439,2433,2393,2397,2375,695,691,683,681,803,807,2720,2437,2443,2391,2395,2379,2377,3349,2951,2957,2943,2955,2961,2939,2941,2985,2989,3119,2937,2981,2983,2991,2877,2875,2900,2617,2613,2585,2869,2857,2862,2623,2619,2589,2591,609,2866,2861,2685,2631,2633,2593,2575,613,615,2838,2683,2687,2635,2637,2573,2571,641,670,663,2712,2705,2703,2753,2415,2418,2405,643,645,657,661,2714,2701,2699,2434,2430,2399,2403,688,684,680,678,804,2721,2730,2436,2432,2392,2396,2376,2952,2954,2956,2942,2932,2988,2938,2936,2986,2990,2878,2880,2901,2614,2610,2854,2856,2899,2616,2612,2590,2868,2858,2860,2624,2630,2598,2592,614,2837,2839,2684,2628,2634,2594,2572,669,664,2840,2711,2704,2754,2752,2416,2421,642,671,662,2713,2707,2700,2733,2429,2419,2400,687,685,679,677,2722,2729,2731,2435,2431,2398,2402,2953,2933,2929,2935,2931,2987,2879,2881,2904,2609,2855,2885,2902,2615,2611,2853,2859,2898,2625,2601,2599,2836,2845,2843,2627,2629,2597,2595,666,2834,2841,2710,2757,2755,2751,2422,668,665,2828,2708,2706,2734,2738,2417,2420,686,672,676,2724,2723,2728,2732,2428,2426,2401,2928,2934,2930,2882,2924,2905,2886,2884,2903,2608,2852,2888,2897,2606,2600,2850,2844,2895,2626,2602,2596,2835,2846,2842,2758,2756,2750,2748,667,2833,2827,2709,2777,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2,2131,2110,1884,2137,2141,2143,2126,2125,2128,2136,2132,2142,2127,2135,2133,2134}; - -//d_AngleElem2FaceType size 1458000, dimensions NLF 6 x ne 3375 x na 72: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_AngleElem2FaceType[1458000] = 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- -//d_elem_to_faces size 20250: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_elem_to_faces[20250] = 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- -//d_F_g2l size 10800: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_F_g2l[10800] = 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- -//d_idx1 size 37800: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_idx1[37800] = 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- -//d_idx2 size 37800: -RAJA::Index_type rajaperf::apps::FEMSWEEP::g_idx2[37800] = 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- -#endif diff --git a/src/common/RunParams.cpp b/src/common/RunParams.cpp index 7be41676c..a85c7d327 100644 --- a/src/common/RunParams.cpp +++ b/src/common/RunParams.cpp @@ -85,6 +85,7 @@ RunParams::RunParams(int argc, char** argv) invalid_npasses_combiner_input(), outdir(), outfile_prefix("RAJAPerf"), + femsweep_mesh_file(""), #if defined(RAJA_PERFSUITE_USE_CALIPER) add_to_spot_config(), #endif @@ -177,6 +178,8 @@ void RunParams::print(std::ostream& str) const str << "\n outdir = " << outdir; str << "\n outfile_prefix = " << outfile_prefix; + str << "\n femsweep_mesh_file = " << femsweep_mesh_file; + #if defined(RAJA_PERFSUITE_USE_CALIPER) if (add_to_spot_config.length() > 0) { str << "\n add_to_spot_config = " << add_to_spot_config; @@ -771,7 +774,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) } else if ( opt == std::string("--gpu_block_size") ) { - bool got_someting = false; + bool got_something = false; bool done = false; i++; while ( i < argc && !done ) { @@ -780,7 +783,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) i--; done = true; } else { - got_someting = true; + got_something = true; int gpu_block_size = ::atoi( opt.c_str() ); if ( gpu_block_size <= 0 ) { getCout() << "\nBad input:" @@ -793,7 +796,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) ++i; } } - if (!got_someting) { + if (!got_something) { getCout() << "\nBad input:" << " must give --gpu_block_size one or more values (int)" << std::endl; @@ -802,7 +805,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) } else if ( opt == std::string("--atomic_replication") ) { - bool got_someting = false; + bool got_something = false; bool done = false; i++; while ( i < argc && !done ) { @@ -811,7 +814,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) i--; done = true; } else { - got_someting = true; + got_something = true; int atomic_replication = ::atoi( opt.c_str() ); if ( atomic_replication <= 0 ) { getCout() << "\nBad input:" @@ -824,7 +827,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) ++i; } } - if (!got_someting) { + if (!got_something) { getCout() << "\nBad input:" << " must give --atomic_replication one or more values (int)" << std::endl; @@ -833,7 +836,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) } else if ( opt == std::string("--items_per_thread") ) { - bool got_someting = false; + bool got_something = false; bool done = false; i++; while ( i < argc && !done ) { @@ -842,7 +845,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) i--; done = true; } else { - got_someting = true; + got_something = true; int items_per_thread = ::atoi( opt.c_str() ); if ( items_per_thread <= 0 ) { getCout() << "\nBad input:" @@ -855,7 +858,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) ++i; } } - if (!got_someting) { + if (!got_something) { getCout() << "\nBad input:" << " must give --items_per_thread one or more values (int)" << std::endl; @@ -988,6 +991,19 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) } } + } else if ( std::string(argv[i]) == std::string("--femsweep-mesh-file") || + std::string(argv[i]) == std::string("-fmf") ) { + + i++; + if ( i < argc ) { + opt = std::string(argv[i]); + if ( opt.at(0) == '-' ) { + i--; + } else { + femsweep_mesh_file = std::string( argv[i] ); + } + } + } else if ( opt == std::string("--seq-data-space") || opt == std::string("-sds") || opt == std::string("--omp-data-space") || @@ -1017,7 +1033,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) opt == std::string("--sycl-mpi-data-space") || opt == std::string("--kokkos-mpi-data-space") ) { - bool got_someting = false; + bool got_something = false; bool got_something_available = false; bool got_something_pseudo = false; i++; @@ -1030,7 +1046,7 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) for (int ids = 0; ids < static_cast(DataSpace::EndPseudoSpaces); ++ids) { DataSpace ds = static_cast(ids); if (getDataSpaceName(ds) == opt) { - got_someting = true; + got_something = true; got_something_available = isDataSpaceAvailable(ds); got_something_pseudo = isPseudoDataSpace(ds); if ( opt_name == std::string("--seq-data-space") || @@ -1090,13 +1106,13 @@ void RunParams::parseCommandLineOptions(int argc, char** argv) kokkosMPIDataSpace = ds; got_something_available = got_something_available || got_something_pseudo; } else { - got_someting = false; + got_something = false; } break; } } - if (!got_someting) { + if (!got_something) { getCout() << "\nBad input:" << " must give " << opt_name << " a valid data space" << std::endl; @@ -1612,6 +1628,12 @@ void RunParams::printHelpMessage(std::ostream& str) const str << "\t\t Example...\n" << "\t\t --ltimes_num_m 100\n\n"; + str << "\t --femsweep-mesh-file, -fmf [Default is no file, and the femsweep is not run. The femsweep can only be run by specifying this option with a valid path to a mesh file name.]\n" + << "\t (path to file name of femsweep mesh)\n"; + str << "\t\t Examples...\n" + << "\t\t --femsweep-mesh-file /path/to/rajaperf/data/FEMSWEEPMESH_72a_16g_18x_18y_18z_1GB.txt\n" + << "\t\t -fmf /path/to/rajaperf/data/FEMSWEEPMESH_72a_16g_18x_18y_18z_1GB.txt\n\n"; + str << "\t --array_of_ptrs_array_size [default is " << ARRAY_OF_PTRS_MAX_ARRAY_SIZE << "]\n" << "\t (For ARRAY_OF_PTRS only: array size used in kernel)\n" << "\t Must be greater than 0.\n" @@ -2105,6 +2127,19 @@ void RunParams::processKernelInput() using Svector = std::vector; using KIDset = std::set; + // ================================================================ + // + // Add FEMSWEEP to the exclusion list if the --femsweep-mesh-file + // was not provided. This supersedes the case where FEMSWEEP is in + // --kernels. + // + // ================================================================ + + if ( femsweep_mesh_file.empty() ) { + std::cout << "Excluding FEMSWEEP because no --femsweep-mesh-file provided." << std::endl; + exclude_kernel_input.push_back( std::string("FEMSWEEP") ); + } + // ================================================================ // // Determine IDs of kernels to exclude from run based on exclude diff --git a/src/common/RunParams.hpp b/src/common/RunParams.hpp index 3176a426a..15e72a895 100644 --- a/src/common/RunParams.hpp +++ b/src/common/RunParams.hpp @@ -345,6 +345,8 @@ class RunParams { const std::string& getOutputDirName() const { return outdir; } const std::string& getOutputFilePrefix() const { return outfile_prefix; } + const std::string& getFemsweepMeshFile() const { return femsweep_mesh_file; } + #if defined(RAJA_PERFSUITE_USE_CALIPER) const std::string& getAddToSpotConfig() const { return add_to_spot_config; } const std::string& getAddToCaliperConfig() const { return add_to_cali_config; } @@ -501,6 +503,8 @@ class RunParams { std::string outdir; /*!< Output directory name. */ std::string outfile_prefix; /*!< Prefix for output data file names. */ + std::string femsweep_mesh_file; /*!< Path to file name of femsweep mesh. */ + #if defined(RAJA_PERFSUITE_USE_CALIPER) std::string add_to_spot_config; std::string add_to_cali_config;