tigress_runtime.c

#if !defined(__GNUC__) || defined(__clang__)
	#if defined(__EMSCRIPTEN__)
#pragma message("This source file was transformed for Gcc, but it seems you are attempting to compile it with Emcc. That could be the cause of errors or other unexpected results. It is intended that the compiler used to compile the source be the same as that specified in the --Environment or --Compiler command line options to Tigress.")
	#elif defined(__clang__)
#pragma message("This source file was transformed for Gcc, but it seems you are attempting to compile it with Clang. That could be the cause of errors or other unexpected results. It is intended that the compiler used to compile the source be the same as that specified in the --Environment or --Compiler command line options to Tigress.")
	#elif defined(_MSC_VER)
#pragma message("This source file was transformed for Gcc, but it seems you are attempting to compile it with Msvc. That could be the cause of errors or other unexpected results. It is intended that the compiler used to compile the source be the same as that specified in the --Environment or --Compiler command line options to Tigress.")
	#else
#pragma message("This source file was transformed for Gcc, but it seems you are attempting to compile it with some other compiler. That could be the cause of errors or other unexpected results. It is intended that the compiler used to compile the source be the same as that specified in the --Environment or --Compiler command line options to Tigress.")
	#endif
#endif


/*
BEGIN-TIGRESS
{
  "Tigress": {
    "Source": "This file was generated by Tigress, a product of the University of Arizona.",
    "Author": "Christian Collberg",
    "Contact": "collberg@gmail.com",
    "Version": "4.0.11,Operating system=Linux, Architecture=x86_64, Git hash=b27316009b56c6a9243055163d440e9ae74b2991, Date=2025-07-23T23:33:20:+0000",
    "Url": "https://tigress.wtf"
  },
  "Usage": {
    "Research": "Tigress is free to use for research purposes.",
    "Commercial": "Any use in a commercial setting requires a license from the University of Arizona."
  }
}
END-TIGRESS
*/


/*
BEGIN-CONFIG
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]
END-CONFIG
*/


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          "__builtin_tgamma", "__builtin_matrix_column_major_store",
          "__builtin_strspn", "__builtin_conj", "__builtin_cprojf",
          "__builtin_canonicalizef", "__builtin_lrintl", "__builtin_fmaxf16",
          "__builtin_nan", "__builtin_strstr", "__builtin_expm1f",
          "__builtin___get_unsafe_stack_bottom", "__builtin_ia32_pcmpeqb",
          "__builtin_isnormal", "__builtin_atanl", "__builtin_wcsncmp",
          "__builtin_huge_valf128", "__builtin_clzll", "__builtin_cbrt",
          "__builtin_huge_valf", "__builtin_uadd_overflow",
          "__builtin_copysignf128", "__builtin_truncl",
          "__builtin___stpncpy_chk", "__builtin_ia32_punpckhbw",
          "__builtin_ia32_vec_init_v2si", "__builtin_roundf",
          "__builtin_cimag", "__builtin_ia32_pmaddwd",
          "__builtin___vsnprintf_chk", "__builtin_scalbn",
          "__builtin_lgammaf128", "__builtin_ia32_pcmpgtd", "__builtin_nanf",
          "__builtin_roundl", "__builtin_remainderl",
          "__builtin_saddl_overflow", "__builtin_ceilf128",
          "__builtin_signbitf", "__builtin_tgmath", "__builtin_ceill",
          "__builtin_smul_overflow", "__builtin_cabsl",
          "__builtin_ia32_psrad", "__builtin_fmin", "__builtin_floor",
          "__builtin_scalblnl", "__builtin_atan2f", "__builtin_cacosh",
          "__builtin___strlcat_chk", "__builtin_sinh", "__builtin_ilogbf",
          "__builtin_catanl", "__builtin_ia32_psubsw128", "__builtin_clzs",
          "__builtin_remquof", "__builtin_logbf", "__builtin_fma",
          "__builtin_asinhf128", "__builtin_infl", "__builtin_fminf128",
          "__builtin_bitreverse64", "__builtin_vsprintf",
          "__builtin_remquof128", "__builtin_atanhf128",
          "__builtin___get_unsafe_stack_ptr", "__builtin_signbit",
          "__builtin_lroundf", "__builtin_islessequal", "__builtin_exp2l",
          "__builtin_frame_address", "__builtin_nexttowardf128",
          "__builtin_isinf_sign", "__builtin_inff128", "__builtin_va_copy",
          "__builtin_erfcl", "__builtin_cacosf",
          "__builtin_frob_return_address", "__builtin_vsnprintf",
          "__builtin_sadd_overflow", "__builtin_tanf128",
          "__builtin_rotateleft64", "__builtin_matrix_column_major_load",
          "__builtin_popcountll", "__builtin_nearbyintf", "__builtin_atanf",
          "__builtin_rint", "__builtin_ia32_addps",
          "__builtin_rotateright64", "__builtin_readcyclecounter",
          "__builtin_llroundf", "__builtin_strcspn", "__builtin_asinf",
          "__builtin_lrint", "__builtin_erff", "__builtin_ia32_maxps",
          "__builtin_bcmp", "__builtin_asinf128", "__builtin_rotateleft8",
          "__builtin_ia32_por", "__builtin_nextafterf128", "__builtin_cosh",
          "__builtin_tgammaf", "__builtin_operator_new", "__builtin_crealf",
          "__builtin_longjmp", "__builtin_nextafterf",
          "__builtin_mul_overflow", "__builtin_ia32_psrlwi",
          "__builtin_coshl", "__builtin_ilogb",
          "__builtin_ia32_vec_ext_v8hi", "__builtin_cosf",
          "__builtin_strndup", "__builtin_cpow", "__builtin___mempcpy_chk",
          "__builtin_llrintf", "__builtin_hypotf128", "__builtin_complex",
          "__builtin_remainder", "__builtin_preserve_access_index",
          "__builtin_fmaf128", "__builtin_acosh", "__builtin_sin",
          "__builtin_llround", "__builtin_fabs", "__builtin_trunc",
          "__builtin_fmaxf128", "__builtin_ccosf", "__builtin_acoshl",
          "__builtin___clear_cache", "__builtin_strncasecmp",
          "__builtin_fdiml", "__builtin_ia32_paddw", "__builtin_sinhf128",
          "__builtin_isnan", "__builtin_fdim", "__builtin_isgreaterequal",
          "__builtin_nexttowardf", "__builtin_fminf16",
          "__builtin_ia32_packsswb", "__builtin_sqrt",
          "__builtin_umulll_overflow", "__builtin_floorf16",
          "__builtin_casinh", "__builtin_llrintl", "__builtin_expm1",
          "__builtin_exp2f", "__builtin_fabsl", "__builtin_setjmp",
          "__builtin_nearbyintl", "__builtin_nearbyintf128",
          "__builtin_lrintf", "__builtin_floorl", "__builtin_carg",
          "__builtin_csin", "__builtin_clogl",
          "__builtin_expect_with_probability", "__builtin_erfl",
          "__builtin_asinhl", "__builtin_memcpy", "__builtin_islessgreater",
          "__builtin_ia32_psrlqi", "__builtin_ia32_psubsb",
          "__builtin_ctanhf", "__builtin_wcscmp",
          "__builtin_ia32_psubusb128", "__builtin_bitreverse16",
          "__builtin_classify_type", "__builtin_cacos", "__builtin_lroundl",
          "__builtin_printf", "__builtin_sqrtf", "__builtin_assume",
          "__builtin_rintf", "__builtin_powf", "__builtin_powl",
          "__builtin_cimagl", "__builtin_addcll", "__builtin_ia32_psrlw",
          "__builtin_ia32_pslld", "__builtin_canonicalizef16",
          "__builtin___memccpy_chk", "__builtin_truncf128",
          "__builtin_nextafter", "__builtin_ia32_pxor", "__builtin_strdup",
          "__builtin_fabsf16", "__builtin_strcmp", "__builtin_atanf128",
          "__builtin_ia32_psubsb128", "__builtin_ia32_paddsw128",
          "__builtin_ldexpf", "__builtin_ia32_psrld", "__builtin_truncf16",
          "__builtin___memmove_chk", "__builtin_modff128",
          "__builtin_isfinite", "__builtin_conjf", "__builtin_roundf128",
          "__builtin_powf128", "__builtin_ctzs", "__builtin_roundf16",
          "__builtin_ia32_pcmpgtb", "__builtin_log1pf128",
          "__builtin_rotateright16", "__builtin_alloca",
          "__builtin_ldexpf128", "__builtin_cbrtl", "__builtin_csinhf",
          "__builtin_log2", "__builtin_ia32_paddd", "__builtin_modfl",
          "__builtin_ccos", "__builtin_casinhf", "__builtin_asin",
          "__builtin_erfcf128", "__builtin_clrsbll", "__builtin_ctzl",
          "__builtin_tanhl", "__builtin_saddll_overflow", "__builtin_labs",
          "__builtin_cabsf", "__builtin_ia32_punpckhdq",
          "__builtin_ia32_psubb", "__builtin_rintf128", "__builtin_fdimf",
          "__builtin_ia32_vec_ext_v2si", "__builtin_alloca_with_align",
          "__builtin_wmemmove", "__builtin_ia32_psubsw", "__builtin_strncpy",
          "__builtin_eh_return", "__builtin___memset_chk",
          "__builtin_scalbnf", "__builtin_fpclassify", "__builtin_huge_val",
          "__builtin_ia32_pcmpeqd", "__builtin_frexpf", "__builtin_wcschr",
          "__builtin_truncf", "__builtin_ia32_paddusb",
          "__builtin_canonicalizel", "__builtin_ia32_pcmpgtw",
          "__builtin_fmodl", "__builtin_isinf", "__builtin_ia32_psubq",
          "__builtin_strcat", "__builtin_ilogbl", "__builtin_bitreverse32",
          "__builtin_ceilf", "__builtin_dump_struct", "__builtin_return",
          "__builtin_asinl", "__builtin_frexpf128", "__builtin_ia32_psllwi",
          "__builtin_bitreverse8", "__builtin_va_arg_pack",
          "__builtin___strncpy_chk", "__builtin_nontemporal_store",
          "__builtin_lrintf128", "__builtin_malloc", "__builtin_atanhl",
          "__builtin_uaddl_overflow", "__builtin___strncat_chk",
          "__builtin_flt_rounds", "__builtin_huge_vall", "__builtin_ffsl",
          "__builtin___vprintf_chk", "__builtin_rintl", "__builtin_erfcf",
          "__builtin_ia32_unpcklps", "__builtin_strncat", "__builtin_ctzll",
          "__builtin_stdarg_start", "__builtin_nontemporal_load",
          "__builtin_cbrtf", "__builtin_ia32_pmullw", "__builtin_catan",
          "__builtin_ia32_punpcklbw", "__builtin_nexttoward",
          "__builtin_tanf", "__builtin_rotateright32", "__builtin_exp2",
          "__builtin_log1p", "__builtin_catanf", "__builtin_va_arg",
          "__builtin_expect", "__builtin_subcl", "__builtin_ia32_paddsb128",
          "__builtin___printf_chk", "__builtin_subcll",
          "__builtin___vfprintf_chk", "__builtin_fmod",
          "__builtin_ia32_paddb", "__builtin_call_with_static_chain",
          "__builtin_align_up", "__builtin_lgamma", "__builtin_ccosh",
          "__builtin_sqrtf128", "__builtin_ia32_vec_set_v8hi",
          "__builtin_ldexpl", "__builtin_usubll_overflow",
          "__builtin_sprintf", "__builtin_nearbyint", "__builtin_apply",
          "__builtin_sinf", "__builtin_logbl", "__builtin_log1pl",
          "__builtin_ia32_punpcklwd", "__builtin_asinh",
          "__builtin_constant_p", "__builtin_memcpy_inline",
          "__builtin_fminf", "__builtin_llroundl", "__builtin_csinl",
          "__builtin_ia32_punpckldq", "__builtin_log", "__builtin_expf",
          "__builtin_exp2f16", "__builtin_types_compatible_p",
          "__builtin_atan2l", "__builtin_apply_args", "__builtin_clrsb",
          "__builtin_catanhl", "__builtin___get_unsafe_stack_start",
          "__builtin_ia32_psubusw", "__builtin_llroundf128",
          "__builtin_ctanl", "__builtin_abs", "__builtin_log2f128",
          "__builtin_clogf", "__builtin_strlen", "__builtin_ia32_psubw",
          "__builtin_inf", "__builtin_cosf128", "__builtin_remquol",
          "__builtin_fmaf16", "__builtin_coshf128", "__builtin_cargf",
          "__builtin_acoshf", "__builtin_cacoshf", "__builtin_ia32_psllq",
          "__builtin_trap", "__builtin_smulll_overflow", "__builtin_parityl",
          "__builtin_cacosl", "__builtin_log2f16", "__builtin_annotation",
          "__builtin_clog", "__builtin_varargs_start", "__builtin_fabsf128",
          "__builtin_cexpf", "__builtin_unwind_init", "__builtin_isgreater",
          "__builtin___snprintf_chk", "__builtin_ia32_vec_ext_v4hi",
          "__builtin_cabs", "__builtin_expm1l", "__builtin_coshf",
          "__builtin_casinl", "__builtin_nansf", "__builtin_strcasecmp",
          "__builtin_hypotf", "__builtin_nextafterl", "__builtin_lroundf128",
          "__builtin_csqrtf", "__builtin_catanh", "__builtin_align_down",
          "__builtin_scalbnl", "__builtin_ia32_vec_set_v4hi",
          "__builtin_csqrtl", "__builtin_sinf128", "__builtin_atan2",
          "__builtin_popcountl", "__builtin_ia32_psllw",
          "__builtin___strcpy_chk", "__builtin_atan2f128",
          "__builtin_thread_pointer", "__builtin_addc", "__builtin_cos",
          "__builtin_cexp", "__builtin_memset", "__builtin_nanl",
          "__builtin_popcount", "__builtin_tanhf128", "__builtin_expf16",
          "__builtin_dwarf_sp_column", "__builtin_bcopy", "__builtin_memcmp",
          "__builtin_ccoshf", "__builtin_clrsbl", "__builtin_asinhf",
          "__builtin_floorf128", "__builtin_extend_pointer",
          "__builtin_ia32_ldmxcsr", "__builtin_extract_return_addr",
          "__builtin_bswap32", "__builtin_ldexp", "__builtin_unpredictable",
          "__builtin_fmodf", "__builtin_fmodf128", "__builtin_ia32_psrldi",
          "__ctype_get_mb_cur_max", "atof", "atoi", "atol", "atoll",
          "strtod", "strtof", "strtold", "strtol", "strtoul", "strtoq",
          "strtouq", "strtoll", "strtoull", "strfromd", "strfromf",
          "strfroml", "l64a", "a64l", "select", "pselect", "random",
          "srandom", "initstate", "setstate", "random_r", "srandom_r",
          "initstate_r", "setstate_r", "rand", "srand", "rand_r", "drand48",
          "erand48", "lrand48", "nrand48", "mrand48", "jrand48", "srand48",
          "seed48", "lcong48", "drand48_r", "erand48_r", "lrand48_r",
          "nrand48_r", "mrand48_r", "jrand48_r", "srand48_r", "seed48_r",
          "lcong48_r", "arc4random", "arc4random_buf", "arc4random_uniform",
          "malloc", "calloc", "realloc", "free", "reallocarray", "alloca",
          "valloc", "posix_memalign", "aligned_alloc", "abort", "atexit",
          "at_quick_exit", "on_exit", "exit", "quick_exit", "_Exit",
          "getenv", "putenv", "setenv", "unsetenv", "clearenv", "mktemp",
          "mkstemp", "mkstemps", "mkdtemp", "system", "realpath", "bsearch",
          "qsort", "abs", "labs", "llabs", "div", "ldiv", "lldiv", "ecvt",
          "fcvt", "gcvt", "qecvt", "qfcvt", "qgcvt", "ecvt_r", "fcvt_r",
          "qecvt_r", "qfcvt_r", "mblen", "mbtowc", "wctomb", "mbstowcs",
          "wcstombs", "rpmatch", "getsubopt", "getloadavg", "memcpy",
          "memmove", "memccpy", "memset", "memcmp", "__memcmpeq", "memchr",
          "strcpy", "strncpy", "strcat", "strncat", "strcmp", "strncmp",
          "strcoll", "strxfrm", "strcoll_l", "strxfrm_l", "strdup",
          "strndup", "strchr", "strrchr", "strchrnul", "strcspn", "strspn",
          "strpbrk", "strstr", "strtok", "__strtok_r", "strtok_r",
          "strcasestr", "memmem", "__mempcpy", "mempcpy", "strlen",
          "strnlen", "strerror", "strerror_r", "strerror_l", "bcmp", "bcopy",
          "bzero", "index", "rindex", "ffs", "ffsl", "ffsll", "strcasecmp",
          "strncasecmp", "strcasecmp_l", "strncasecmp_l", "explicit_bzero",
          "strsep", "strsignal", "__stpcpy", "stpcpy", "__stpncpy",
          "stpncpy", "strlcpy", "strlcat", "stdin", "stdout", "stderr",
          "remove", "rename", "renameat", "fclose", "tmpfile", "tmpnam",
          "tmpnam_r", "tempnam", "fflush", "fflush_unlocked", "fopen",
          "freopen", "fdopen", "fopencookie", "fmemopen", "open_memstream",
          "setbuf", "setvbuf", "setbuffer", "setlinebuf", "fprintf",
          "printf", "sprintf", "vfprintf", "vprintf", "vsprintf", "snprintf",
          "vsnprintf", "vasprintf", "__asprintf", "asprintf", "vdprintf",
          "dprintf", "fscanf", "scanf", "sscanf", "vfscanf", "vscanf",
          "vsscanf", "fgetc", "getc", "getchar", "getc_unlocked",
          "getchar_unlocked", "fgetc_unlocked", "fputc", "putc", "putchar",
          "fputc_unlocked", "putc_unlocked", "putchar_unlocked", "getw",
          "putw", "fgets", "__getdelim", "getdelim", "getline", "fputs",
          "puts", "ungetc", "fread", "fwrite", "fread_unlocked",
          "fwrite_unlocked", "fseek", "ftell", "rewind", "fseeko", "ftello",
          "fgetpos", "fsetpos", "clearerr", "feof", "ferror",
          "clearerr_unlocked", "feof_unlocked", "ferror_unlocked", "perror",
          "fileno", "fileno_unlocked", "pclose", "popen", "ctermid",
          "flockfile", "ftrylockfile", "funlockfile", "__uflow",
          "__overflow", "__fpclassify", "__signbit", "__isinf", "__finite",
          "__isnan", "__iseqsig", "__issignaling", "acos", "__acos", "asin",
          "__asin", "atan", "__atan", "atan2", "__atan2", "cos", "__cos",
          "sin", "__sin", "tan", "__tan", "acospi", "__acospi", "asinpi",
          "__asinpi", "atanpi", "__atanpi", "atan2pi", "__atan2pi", "cospi",
          "__cospi", "sinpi", "__sinpi", "tanpi", "__tanpi", "cosh",
          "__cosh", "sinh", "__sinh", "tanh", "__tanh", "acosh", "__acosh",
          "asinh", "__asinh", "atanh", "__atanh", "exp", "__exp", "frexp",
          "__frexp", "ldexp", "__ldexp", "log", "__log", "log10", "__log10",
          "modf", "__modf", "exp10", "__exp10", "exp2m1", "__exp2m1",
          "exp10m1", "__exp10m1", "log2p1", "__log2p1", "log10p1",
          "__log10p1", "logp1", "__logp1", "expm1", "__expm1", "log1p",
          "__log1p", "logb", "__logb", "exp2", "__exp2", "log2", "__log2",
          "pow", "__pow", "sqrt", "__sqrt", "hypot", "__hypot", "cbrt",
          "__cbrt", "ceil", "fabs", "floor", "fmod", "__fmod", "isinf",
          "finite", "drem", "__drem", "significand", "__significand",
          "copysign", "nan", "__nan", "isnan", "j0", "__j0", "j1", "__j1",
          "jn", "__jn", "y0", "__y0", "y1", "__y1", "yn", "__yn", "erf",
          "__erf", "erfc", "__erfc", "lgamma", "__lgamma", "tgamma",
          "__tgamma", "gamma", "__gamma", "lgamma_r", "__lgamma_r", "rint",
          "__rint", "nextafter", "__nextafter", "nexttoward", "__nexttoward",
          "nextdown", "__nextdown", "nextup", "__nextup", "remainder",
          "__remainder", "scalbn", "__scalbn", "ilogb", "__ilogb", "llogb",
          "__llogb", "scalbln", "__scalbln", "nearbyint", "__nearbyint",
          "round", "trunc", "remquo", "__remquo", "lrint", "__lrint",
          "llrint", "__llrint", "lround", "__lround", "llround", "__llround",
          "fdim", "__fdim", "fmax", "fmin", "fma", "__fma", "roundeven",
          "fromfp", "__fromfp", "ufromfp", "__ufromfp", "fromfpx",
          "__fromfpx", "ufromfpx", "__ufromfpx", "canonicalize", "fmaximum",
          "fminimum", "fmaximum_num", "fminimum_num", "fmaximum_mag",
          "fminimum_mag", "fmaximum_mag_num", "fminimum_mag_num", "scalb",
          "__scalb", "__fpclassifyf", "__signbitf", "__isinff", "__finitef",
          "__isnanf", "__iseqsigf", "__issignalingf", "acosf", "__acosf",
          "asinf", "__asinf", "atanf", "__atanf", "atan2f", "__atan2f",
          "cosf", "__cosf", "sinf", "__sinf", "tanf", "__tanf", "acospif",
          "__acospif", "asinpif", "__asinpif", "atanpif", "__atanpif",
          "atan2pif", "__atan2pif", "cospif", "__cospif", "sinpif",
          "__sinpif", "tanpif", "__tanpif", "coshf", "__coshf", "sinhf",
          "__sinhf", "tanhf", "__tanhf", "acoshf", "__acoshf", "asinhf",
          "__asinhf", "atanhf", "__atanhf", "expf", "__expf", "frexpf",
          "__frexpf", "ldexpf", "__ldexpf", "logf", "__logf", "log10f",
          "__log10f", "modff", "__modff", "exp10f", "__exp10f", "exp2m1f",
          "__exp2m1f", "exp10m1f", "__exp10m1f", "log2p1f", "__log2p1f",
          "log10p1f", "__log10p1f", "logp1f", "__logp1f", "expm1f",
          "__expm1f", "log1pf", "__log1pf", "logbf", "__logbf", "exp2f",
          "__exp2f", "log2f", "__log2f", "powf", "__powf", "sqrtf",
          "__sqrtf", "hypotf", "__hypotf", "cbrtf", "__cbrtf", "ceilf",
          "fabsf", "floorf", "fmodf", "__fmodf", "isinff", "finitef",
          "dremf", "__dremf", "significandf", "__significandf", "copysignf",
          "nanf", "__nanf", "isnanf", "j0f", "__j0f", "j1f", "__j1f", "jnf",
          "__jnf", "y0f", "__y0f", "y1f", "__y1f", "ynf", "__ynf", "erff",
          "__erff", "erfcf", "__erfcf", "lgammaf", "__lgammaf", "tgammaf",
          "__tgammaf", "gammaf", "__gammaf", "lgammaf_r", "__lgammaf_r",
          "rintf", "__rintf", "nextafterf", "__nextafterf", "nexttowardf",
          "__nexttowardf", "nextdownf", "__nextdownf", "nextupf",
          "__nextupf", "remainderf", "__remainderf", "scalbnf", "__scalbnf",
          "ilogbf", "__ilogbf", "llogbf", "__llogbf", "scalblnf",
          "__scalblnf", "nearbyintf", "__nearbyintf", "roundf", "truncf",
          "remquof", "__remquof", "lrintf", "__lrintf", "llrintf",
          "__llrintf", "lroundf", "__lroundf", "llroundf", "__llroundf",
          "fdimf", "__fdimf", "fmaxf", "fminf", "fmaf", "__fmaf",
          "roundevenf", "fromfpf", "__fromfpf", "ufromfpf", "__ufromfpf",
          "fromfpxf", "__fromfpxf", "ufromfpxf", "__ufromfpxf",
          "canonicalizef", "fmaximumf", "fminimumf", "fmaximum_numf",
          "fminimum_numf", "fmaximum_magf", "fminimum_magf",
          "fmaximum_mag_numf", "fminimum_mag_numf", "scalbf", "__scalbf",
          "__fpclassifyl", "__signbitl", "__isinfl", "__finitel", "__isnanl",
          "__iseqsigl", "__issignalingl", "acosl", "__acosl", "asinl",
          "__asinl", "atanl", "__atanl", "atan2l", "__atan2l", "cosl",
          "__cosl", "sinl", "__sinl", "tanl", "__tanl", "acospil",
          "__acospil", "asinpil", "__asinpil", "atanpil", "__atanpil",
          "atan2pil", "__atan2pil", "cospil", "__cospil", "sinpil",
          "__sinpil", "tanpil", "__tanpil", "coshl", "__coshl", "sinhl",
          "__sinhl", "tanhl", "__tanhl", "acoshl", "__acoshl", "asinhl",
          "__asinhl", "atanhl", "__atanhl", "expl", "__expl", "frexpl",
          "__frexpl", "ldexpl", "__ldexpl", "logl", "__logl", "log10l",
          "__log10l", "modfl", "__modfl", "exp10l", "__exp10l", "exp2m1l",
          "__exp2m1l", "exp10m1l", "__exp10m1l", "log2p1l", "__log2p1l",
          "log10p1l", "__log10p1l", "logp1l", "__logp1l", "expm1l",
          "__expm1l", "log1pl", "__log1pl", "logbl", "__logbl", "exp2l",
          "__exp2l", "log2l", "__log2l", "powl", "__powl", "sqrtl",
          "__sqrtl", "hypotl", "__hypotl", "cbrtl", "__cbrtl", "ceill",
          "fabsl", "floorl", "fmodl", "__fmodl", "isinfl", "finitel",
          "dreml", "__dreml", "significandl", "__significandl", "copysignl",
          "nanl", "__nanl", "isnanl", "j0l", "__j0l", "j1l", "__j1l", "jnl",
          "__jnl", "y0l", "__y0l", "y1l", "__y1l", "ynl", "__ynl", "erfl",
          "__erfl", "erfcl", "__erfcl", "lgammal", "__lgammal", "tgammal",
          "__tgammal", "gammal", "__gammal", "lgammal_r", "__lgammal_r",
          "rintl", "__rintl", "nextafterl", "__nextafterl", "nexttowardl",
          "__nexttowardl", "nextdownl", "__nextdownl", "nextupl",
          "__nextupl", "remainderl", "__remainderl", "scalbnl", "__scalbnl",
          "ilogbl", "__ilogbl", "llogbl", "__llogbl", "scalblnl",
          "__scalblnl", "nearbyintl", "__nearbyintl", "roundl", "truncl",
          "remquol", "__remquol", "lrintl", "__lrintl", "llrintl",
          "__llrintl", "lroundl", "__lroundl", "llroundl", "__llroundl",
          "fdiml", "__fdiml", "fmaxl", "fminl", "fmal", "__fmal",
          "roundevenl", "fromfpl", "__fromfpl", "ufromfpl", "__ufromfpl",
          "fromfpxl", "__fromfpxl", "ufromfpxl", "__ufromfpxl",
          "canonicalizel", "fmaximuml", "fminimuml", "fmaximum_numl",
          "fminimum_numl", "fmaximum_magl", "fminimum_magl",
          "fmaximum_mag_numl", "fminimum_mag_numl", "scalbl", "__scalbl",
          "__fpclassifyf128", "__signbitf128", "__isinff128", "__finitef128",
          "__isnanf128", "__iseqsigf128", "__issignalingf128", "fadd",
          "fdiv", "ffma", "fmul", "fsqrt", "fsub", "faddl", "fdivl", "ffmal",
          "fmull", "fsqrtl", "fsubl", "daddl", "ddivl", "dfmal", "dmull",
          "dsqrtl", "dsubl", "signgam", "__iscanonicall", "__ctype_b_loc",
          "__ctype_tolower_loc", "__ctype_toupper_loc", "isalnum", "isalpha",
          "iscntrl", "isdigit", "islower", "isgraph", "isprint", "ispunct",
          "isspace", "isupper", "isxdigit", "tolower", "toupper", "isblank",
          "isascii", "toascii", "_toupper", "_tolower", "isalnum_l",
          "isalpha_l", "iscntrl_l", "isdigit_l", "islower_l", "isgraph_l",
          "isprint_l", "ispunct_l", "isspace_l", "isupper_l", "isxdigit_l",
          "isblank_l", "__tolower_l", "tolower_l", "__toupper_l",
          "toupper_l", "__assert_fail", "__assert_perror_fail", "__assert",
          "iniciaC", "vaciaC"
        ],
        "New Types": [
          "TCola", "TElementoC", "TYPE_5__", "TYPE_1__", "TYPE_5__",
          "scalar_t__", "uintptr_t___0", "intptr_t___0", "size_t___0",
          "__anonenum_18926444", "uintmax_t", "intmax_t", "uintptr_t",
          "intptr_t", "uint_fast64_t", "uint_fast32_t", "uint_fast16_t",
          "uint_fast8_t", "int_fast64_t", "int_fast32_t", "int_fast16_t",
          "int_fast8_t", "uint_least64_t", "uint_least32_t",
          "uint_least16_t", "uint_least8_t", "int_least64_t",
          "int_least32_t", "int_least16_t", "int_least8_t", "uint64_t",
          "uint32_t", "uint16_t", "uint8_t", "__anonenum_1037408945",
          "__anonenum_913965969", "double_t", "float_t", "fpos_t", "va_list",
          "cookie_io_functions_t", "_IO_cookie_io_functions_t",
          "cookie_close_function_t", "cookie_seek_function_t",
          "cookie_write_function_t", "cookie_read_function_t", "_IO_FILE",
          "_IO_lock_t", "_IO_wide_data", "_IO_codecvt", "_IO_marker", "FILE",
          "__FILE", "_IO_FILE", "__fpos64_t", "_G_fpos64_t", "__fpos_t",
          "_G_fpos_t", "__mbstate_t", "__anonstruct___mbstate_t_110123789",
          "__anonunion___value_751190509", "__gnuc_va_list", "locale_t",
          "__locale_t", "__locale_struct", "__locale_data", "__compar_fn_t",
          "drand48_data", "random_data", "pthread_barrierattr_t",
          "__anonunion_pthread_barrierattr_t_951761806", "pthread_barrier_t",
          "__anonunion_pthread_barrier_t_145707746", "pthread_spinlock_t",
          "pthread_rwlockattr_t",
          "__anonunion_pthread_rwlockattr_t_145707745", "pthread_rwlock_t",
          "__anonunion_pthread_rwlock_t_656928968", "pthread_cond_t",
          "__anonunion_pthread_cond_t_951761805", "pthread_mutex_t",
          "__anonunion_pthread_mutex_t_335460617", "pthread_attr_t",
          "pthread_attr_t", "pthread_once_t", "pthread_key_t",
          "pthread_condattr_t", "__anonunion_pthread_condattr_t_488594145",
          "pthread_mutexattr_t", "__anonunion_pthread_mutexattr_t_488594144",
          "pthread_t", "__once_flag", "__anonstruct___once_flag_783464055",
          "__thrd_t", "__tss_t", "__pthread_cond_s",
          "__pthread_rwlock_arch_t", "__pthread_mutex_s",
          "__pthread_slist_t", "__pthread_internal_slist",
          "__pthread_list_t", "__pthread_internal_list",
          "__atomic_wide_counter",
          "__anonunion___atomic_wide_counter_536723229",
          "__anonstruct___value32_118117645", "fsfilcnt_t", "fsblkcnt_t",
          "blkcnt_t", "blksize_t", "fd_mask", "fd_set",
          "__anonstruct_fd_set_356711149", "__fd_mask", "suseconds_t",
          "timespec", "timeval", "sigset_t", "__sigset_t",
          "__anonstruct___sigset_t_783464054", "register_t", "u_int64_t",
          "u_int32_t", "u_int16_t", "u_int8_t", "int64_t", "int32_t",
          "int16_t", "int8_t", "uint", "ushort", "ulong", "timer_t",
          "time_t", "clockid_t", "clock_t", "key_t", "caddr_t", "daddr_t",
          "ssize_t", "id_t", "pid_t", "off_t", "uid_t", "nlink_t", "mode_t",
          "gid_t", "dev_t", "ino_t", "loff_t", "fsid_t", "u_quad_t",
          "quad_t", "u_long", "u_int", "u_short", "u_char", "__sig_atomic_t",
          "__socklen_t", "__intptr_t", "__caddr_t", "__loff_t",
          "__syscall_ulong_t", "__syscall_slong_t", "__ssize_t",
          "__fsword_t", "__fsfilcnt64_t", "__fsfilcnt_t", "__fsblkcnt64_t",
          "__fsblkcnt_t", "__blkcnt64_t", "__blkcnt_t", "__blksize_t",
          "__timer_t", "__clockid_t", "__key_t", "__daddr_t",
          "__suseconds64_t", "__suseconds_t", "__useconds_t", "__time_t",
          "__id_t", "__rlim64_t", "__rlim_t", "__clock_t", "__fsid_t",
          "__anonstruct___fsid_t_109580352", "__pid_t", "__off64_t",
          "__off_t", "__nlink_t", "__mode_t", "__ino64_t", "__ino_t",
          "__gid_t", "__uid_t", "__dev_t", "__uintmax_t", "__intmax_t",
          "__u_quad_t", "__quad_t", "__uint_least64_t", "__int_least64_t",
          "__uint_least32_t", "__int_least32_t", "__uint_least16_t",
          "__int_least16_t", "__uint_least8_t", "__int_least8_t",
          "__uint64_t", "__int64_t", "__uint32_t", "__int32_t", "__uint16_t",
          "__int16_t", "__uint8_t", "__int8_t", "__u_long", "__u_int",
          "__u_short", "__u_char", "lldiv_t",
          "__anonstruct_lldiv_t_103911545", "ldiv_t",
          "__anonstruct_ldiv_t_790849867", "div_t",
          "__anonstruct_div_t_773697287", "wchar_t", "size_t"
        ],
        "New Texts/Asms/Pragmas": [
          "Pragma", "Pragma", "Pragma", "Pragma", "Pragma", "Pragma"
        ]
      }
    }
  ]
}
END-UNIVERSE
*/

#line 9 "/usr/lib/gcc/x86_64-linux-gnu/15/include/stdint.h"
#pragma GCC diagnostic push
#line 10
#pragma GCC diagnostic ignored "-Wpedantic"
#line 12
#pragma GCC diagnostic pop
#line 7 "/usr/lib/gcc/x86_64-linux-gnu/15/include/syslimits.h"
#pragma GCC diagnostic push
#line 8
#pragma GCC diagnostic ignored "-Wpedantic"
#line 10
#pragma GCC diagnostic pop

/* BEGIN STRUCT __anonstruct___value32_118117645 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 18 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h"
struct __anonstruct___value32_118117645 {
   unsigned int __low ;
   unsigned int __high ;
};
/* END STRUCT __anonstruct___value32_118117645 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 18 */

/* BEGIN TYPEDEF __locale_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:41 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h"
typedef struct __locale_struct *__locale_t;
/* END TYPEDEF __locale_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:41 */

/* BEGIN UNION __anonunion___value_751190509 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 CKEY=39 */
#line 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h"
union __anonunion___value_751190509 {
   unsigned int __wch ;
   char __wchb[4] ;
};
/* END UNION __anonunion___value_751190509 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 CKEY=39 */

/* BEGIN TYPEDEF __off64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:153 */
#line 153 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __off64_t;
/* END TYPEDEF __off64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:153 */

/* BEGIN TYPEDEF FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/FILE.h:7 */
#line 7 "/usr/include/x86_64-linux-gnu/bits/types/FILE.h"
typedef struct _IO_FILE FILE;
/* END TYPEDEF FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/FILE.h:7 */

/* BEGIN TYPEDEF __ssize_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:194 */
#line 194 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __ssize_t;
/* END TYPEDEF __ssize_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:194 */

/* BEGIN TYPEDEF size_t LOC=/usr/lib/gcc/x86_64-linux-gnu/15/include/stddef.h:229 */
#line 229 "/usr/lib/gcc/x86_64-linux-gnu/15/include/stddef.h"
typedef unsigned long size_t;
/* END TYPEDEF size_t LOC=/usr/lib/gcc/x86_64-linux-gnu/15/include/stddef.h:229 */

/* BEGIN TYPEDEF __int32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:41 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef int __int32_t;
/* END TYPEDEF __int32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:41 */

/* BEGIN UNION __anonunion___atomic_wide_counter_536723229 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 CKEY=17 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h"
union __anonunion___atomic_wide_counter_536723229 {
   unsigned long long __value64 ;
   struct __anonstruct___value32_118117645 __value32 ;
};
/* END UNION __anonunion___atomic_wide_counter_536723229 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 CKEY=17 */

/* BEGIN TYPEDEF __atomic_wide_counter LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h"
typedef union __anonunion___atomic_wide_counter_536723229 __atomic_wide_counter;
/* END TYPEDEF __atomic_wide_counter LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 */

/* BEGIN TYPEDEF __uint16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:40 */
#line 40 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned short __uint16_t;
/* END TYPEDEF __uint16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:40 */

/* BEGIN TYPEDEF TYPE_1__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:33 */
#line 33 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef struct TYPE_5__ TYPE_1__;
/* END TYPEDEF TYPE_1__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:33 */

/* BEGIN STRUCT __pthread_internal_list LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:51 19 */
#line 51 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __pthread_internal_list {
   struct __pthread_internal_list *__prev ;
   struct __pthread_internal_list *__next ;
};
/* END STRUCT __pthread_internal_list LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:51 19 */

/* BEGIN TYPEDEF __pthread_list_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:51 */
#line 51 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
typedef struct __pthread_internal_list __pthread_list_t;
/* END TYPEDEF __pthread_list_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:51 */

/* BEGIN TYPEDEF __uint32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:42 */
#line 42 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __uint32_t;
/* END TYPEDEF __uint32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:42 */

/* BEGIN TYPEDEF __uint64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:45 */
#line 45 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __uint64_t;
/* END TYPEDEF __uint64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:45 */

/* BEGIN TYPEDEF __int16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:39 */
#line 39 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef short __int16_t;
/* END TYPEDEF __int16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:39 */

/* BEGIN TYPEDEF __int64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:44 */
#line 44 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __int64_t;
/* END TYPEDEF __int64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:44 */

/* BEGIN TYPEDEF __fpos_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h:10 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h"
typedef struct _G_fpos_t __fpos_t;
/* END TYPEDEF __fpos_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h:10 */

/* BEGIN TYPEDEF __int8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:37 */
#line 37 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef signed char __int8_t;
/* END TYPEDEF __int8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:37 */

/* BEGIN TYPEDEF __uint8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:38 */
#line 38 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned char __uint8_t;
/* END TYPEDEF __uint8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:38 */

/* BEGIN TYPEDEF __caddr_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:204 */
#line 204 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef char *__caddr_t;
/* END TYPEDEF __caddr_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:204 */

/* BEGIN TYPEDEF locale_t LOC=/usr/include/x86_64-linux-gnu/bits/types/locale_t.h:24 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h"
typedef __locale_t locale_t;
/* END TYPEDEF locale_t LOC=/usr/include/x86_64-linux-gnu/bits/types/locale_t.h:24 */

/* BEGIN TYPEDEF __suseconds_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:162 */
#line 162 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __suseconds_t;
/* END TYPEDEF __suseconds_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:162 */

/* BEGIN TYPEDEF wchar_t LOC=/usr/lib/gcc/x86_64-linux-gnu/15/include/stddef.h:344 */
#line 344 "/usr/lib/gcc/x86_64-linux-gnu/15/include/stddef.h"
typedef int wchar_t;
/* END TYPEDEF wchar_t LOC=/usr/lib/gcc/x86_64-linux-gnu/15/include/stddef.h:344 */

/* BEGIN TYPEDEF __uintmax_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:73 */
#line 73 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __uintmax_t;
/* END TYPEDEF __uintmax_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:73 */

/* BEGIN TYPEDEF __gnuc_va_list LOC=/usr/lib/gcc/x86_64-linux-gnu/15/include/stdarg.h:40 */
#line 40 "/usr/lib/gcc/x86_64-linux-gnu/15/include/stdarg.h"
typedef __builtin_va_list __gnuc_va_list;
/* END TYPEDEF __gnuc_va_list LOC=/usr/lib/gcc/x86_64-linux-gnu/15/include/stdarg.h:40 */

/* BEGIN STRUCT-DECL timeval LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h:8 14 */
#line 8 "/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h"
struct timeval ;
/* END STRUCT-DECL timeval LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h:8 14 */

/* BEGIN TYPEDEF fd_set LOC=/usr/include/x86_64-linux-gnu/sys/select.h:59 */
#line 59 "/usr/include/x86_64-linux-gnu/sys/select.h"
typedef struct __anonstruct_fd_set_356711149 fd_set;
/* END TYPEDEF fd_set LOC=/usr/include/x86_64-linux-gnu/sys/select.h:59 */

/* BEGIN TYPEDEF __intmax_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:72 */
#line 72 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __intmax_t;
/* END TYPEDEF __intmax_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:72 */

/* BEGIN STRUCT __anonstruct___mbstate_t_110123789 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 38 */
#line 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h"
struct __anonstruct___mbstate_t_110123789 {
   int __count ;
   union __anonunion___value_751190509 __value ;
};
/* END STRUCT __anonstruct___mbstate_t_110123789 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 38 */

/* BEGIN TYPEDEF __mbstate_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 */
#line 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h"
typedef struct __anonstruct___mbstate_t_110123789 __mbstate_t;
/* END TYPEDEF __mbstate_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 */

/* BEGIN TYPEDEF __off_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:152 */
#line 152 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __off_t;
/* END TYPEDEF __off_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:152 */

/* BEGIN TYPEDEF size_t___0 LOC=/tmp/forklift_obfu_ecfkw6la/input.c:27 */
#line 27 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef unsigned long size_t___0;
/* END TYPEDEF size_t___0 LOC=/tmp/forklift_obfu_ecfkw6la/input.c:27 */

/* BEGIN FUNCTION-DECL __builtin_free LOC=BUILTIN VKEY=286 */
/* compiler builtin: 
   void __builtin_free(void * ) ;  */
/* END FUNCTION-DECL __builtin_free LOC=BUILTIN VKEY=286 */

/* BEGIN STRUCT-DECL drand48_data LOC=/usr/include/stdlib.h:610 35 */
#line 610 "/usr/include/stdlib.h"
struct drand48_data ;
/* END STRUCT-DECL drand48_data LOC=/usr/include/stdlib.h:610 35 */

/* BEGIN TYPEDEF __loff_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:203 */
#line 203 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __off64_t __loff_t;
/* END TYPEDEF __loff_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:203 */

/* BEGIN FUNCTION-DECL-EXTERN fclose LOC=/usr/include/stdio.h:184 VKEY=1995 */
#line 184 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fclose)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fclose LOC=/usr/include/stdio.h:184 VKEY=1995 */

/* BEGIN TYPEDEF cookie_io_functions_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:55 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
typedef struct _IO_cookie_io_functions_t cookie_io_functions_t;
/* END TYPEDEF cookie_io_functions_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:55 */

/* BEGIN TYPEDEF __blksize_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:175 */
#line 175 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __blksize_t;
/* END TYPEDEF __blksize_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:175 */

/* BEGIN TYPEDEF __fd_mask LOC=/usr/include/x86_64-linux-gnu/sys/select.h:49 */
#line 49 "/usr/include/x86_64-linux-gnu/sys/select.h"
typedef long __fd_mask;
/* END TYPEDEF __fd_mask LOC=/usr/include/x86_64-linux-gnu/sys/select.h:49 */

/* BEGIN TYPEDEF __u_char LOC=/usr/include/x86_64-linux-gnu/bits/types.h:31 */
#line 31 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned char __u_char;
/* END TYPEDEF __u_char LOC=/usr/include/x86_64-linux-gnu/bits/types.h:31 */

/* BEGIN TYPEDEF __daddr_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:165 */
#line 165 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef int __daddr_t;
/* END TYPEDEF __daddr_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:165 */

/* BEGIN TYPEDEF cookie_close_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:48 */
#line 48 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
typedef int cookie_close_function_t(void *__cookie );
/* END TYPEDEF cookie_close_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:48 */

/* BEGIN TYPEDEF cookie_read_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:27 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
typedef __ssize_t cookie_read_function_t(void *__cookie , char *__buf , size_t __nbytes );
/* END TYPEDEF cookie_read_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:27 */

/* BEGIN TYPEDEF cookie_seek_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:45 */
#line 45 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
typedef int cookie_seek_function_t(void *__cookie , __off64_t *__pos , int __w );
/* END TYPEDEF cookie_seek_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:45 */

/* BEGIN TYPEDEF cookie_write_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:36 */
#line 36 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
typedef __ssize_t cookie_write_function_t(void *__cookie , char const   *__buf , size_t __nbytes );
/* END TYPEDEF cookie_write_function_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:36 */

/* BEGIN TYPEDEF __dev_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:145 */
#line 145 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __dev_t;
/* END TYPEDEF __dev_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:145 */

/* BEGIN TYPEDEF __uid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:146 */
#line 146 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __uid_t;
/* END TYPEDEF __uid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:146 */

/* BEGIN TYPEDEF int32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:26 */
#line 26 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h"
typedef __int32_t int32_t;
/* END TYPEDEF int32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:26 */

/* BEGIN STRUCT-DECL random_data LOC=/usr/include/stdlib.h:543 34 */
#line 543 "/usr/include/stdlib.h"
struct random_data ;
/* END STRUCT-DECL random_data LOC=/usr/include/stdlib.h:543 34 */

/* BEGIN TYPEDEF __gid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:147 */
#line 147 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __gid_t;
/* END TYPEDEF __gid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:147 */

/* BEGIN STRUCT __pthread_cond_s LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:94 23 */
#line 94 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __pthread_cond_s {
   __atomic_wide_counter __wseq ;
   __atomic_wide_counter __g1_start ;
   unsigned int __g_size[2] ;
   unsigned int __g1_orig_size ;
   unsigned int __wrefs ;
   unsigned int __g_signals[2] ;
   unsigned int __unused_initialized_1 ;
   unsigned int __unused_initialized_2 ;
};
/* END STRUCT __pthread_cond_s LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:94 23 */

/* BEGIN FUNCTION-DECL-EXTERN pclose LOC=/usr/include/stdio.h:887 VKEY=2412 */
#line 887 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) pclose)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN pclose LOC=/usr/include/stdio.h:887 VKEY=2412 */

/* BEGIN STRUCT __pthread_rwlock_arch_t LOC=/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h:23 22 */
#line 23 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h"
struct __pthread_rwlock_arch_t {
   unsigned int __readers ;
   unsigned int __writers ;
   unsigned int __wrphase_futex ;
   unsigned int __writers_futex ;
   unsigned int __pad3 ;
   unsigned int __pad4 ;
   int __cur_writer ;
   int __shared ;
   signed char __rwelision ;
   unsigned char __pad1[7] ;
   unsigned long __pad2 ;
   unsigned int __flags ;
};
/* END STRUCT __pthread_rwlock_arch_t LOC=/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h:23 22 */

/* BEGIN TYPEDEF __clock_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:156 */
#line 156 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __clock_t;
/* END TYPEDEF __clock_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:156 */

/* BEGIN TYPEDEF __timer_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:172 */
#line 172 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef void *__timer_t;
/* END TYPEDEF __timer_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:172 */

/* BEGIN TYPEDEF __fsfilcnt_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:188 */
#line 188 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __fsfilcnt_t;
/* END TYPEDEF __fsfilcnt_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:188 */

/* BEGIN TYPEDEF __u_short LOC=/usr/include/x86_64-linux-gnu/bits/types.h:32 */
#line 32 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned short __u_short;
/* END TYPEDEF __u_short LOC=/usr/include/x86_64-linux-gnu/bits/types.h:32 */

/* BEGIN TYPEDEF __uint_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:55 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __uint16_t __uint_least16_t;
/* END TYPEDEF __uint_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:55 */

/* BEGIN TYPEDEF __sigset_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h:5 */
#line 5 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h"
typedef struct __anonstruct___sigset_t_783464054 __sigset_t;
/* END TYPEDEF __sigset_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h:5 */

/* BEGIN TYPEDEF __id_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:159 */
#line 159 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __id_t;
/* END TYPEDEF __id_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:159 */

/* BEGIN TYPEDEF div_t LOC=/usr/include/stdlib.h:59 */
#line 59 "/usr/include/stdlib.h"
typedef struct __anonstruct_div_t_773697287 div_t;
/* END TYPEDEF div_t LOC=/usr/include/stdlib.h:59 */

/* BEGIN TYPEDEF __u_long LOC=/usr/include/x86_64-linux-gnu/bits/types.h:34 */
#line 34 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __u_long;
/* END TYPEDEF __u_long LOC=/usr/include/x86_64-linux-gnu/bits/types.h:34 */

/* BEGIN TYPEDEF TCola LOC=/tmp/forklift_obfu_ecfkw6la/input.c:38 */
#line 38 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef TYPE_1__ TCola;
/* END TYPEDEF TCola LOC=/tmp/forklift_obfu_ecfkw6la/input.c:38 */

/* BEGIN TYPEDEF TElementoC LOC=/tmp/forklift_obfu_ecfkw6la/input.c:37 */
#line 37 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef int TElementoC;
/* END TYPEDEF TElementoC LOC=/tmp/forklift_obfu_ecfkw6la/input.c:37 */

/* BEGIN TYPEDEF __time_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:160 */
#line 160 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __time_t;
/* END TYPEDEF __time_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:160 */

/* BEGIN TYPEDEF __quad_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:63 */
#line 63 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __quad_t;
/* END TYPEDEF __quad_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:63 */

/* BEGIN STRUCT __pthread_mutex_s LOC=/usr/include/x86_64-linux-gnu/bits/struct_mutex.h:22 21 */
#line 22 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h"
struct __pthread_mutex_s {
   int __lock ;
   unsigned int __count ;
   int __owner ;
   unsigned int __nusers ;
   int __kind ;
   short __spins ;
   short __elision ;
   __pthread_list_t __list ;
};
/* END STRUCT __pthread_mutex_s LOC=/usr/include/x86_64-linux-gnu/bits/struct_mutex.h:22 21 */

/* BEGIN TYPEDEF __uint_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:57 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __uint32_t __uint_least32_t;
/* END TYPEDEF __uint_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:57 */

/* BEGIN TYPEDEF __uint_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:59 */
#line 59 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __uint64_t __uint_least64_t;
/* END TYPEDEF __uint_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:59 */

/* BEGIN TYPEDEF __fsid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:155 */
#line 155 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef struct __anonstruct___fsid_t_109580352 __fsid_t;
/* END TYPEDEF __fsid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:155 */

/* BEGIN TYPEDEF __pid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:154 */
#line 154 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef int __pid_t;
/* END TYPEDEF __pid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:154 */

/* BEGIN TYPEDEF __int_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:54 */
#line 54 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __int16_t __int_least16_t;
/* END TYPEDEF __int_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:54 */

/* BEGIN TYPEDEF ldiv_t LOC=/usr/include/stdlib.h:67 */
#line 67 "/usr/include/stdlib.h"
typedef struct __anonstruct_ldiv_t_790849867 ldiv_t;
/* END TYPEDEF ldiv_t LOC=/usr/include/stdlib.h:67 */

/* BEGIN TYPEDEF __ino_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:148 */
#line 148 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __ino_t;
/* END TYPEDEF __ino_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:148 */

/* BEGIN TYPEDEF __fsblkcnt_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:184 */
#line 184 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __fsblkcnt_t;
/* END TYPEDEF __fsblkcnt_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:184 */

/* BEGIN TYPEDEF __int_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:56 */
#line 56 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __int32_t __int_least32_t;
/* END TYPEDEF __int_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:56 */

/* BEGIN TYPEDEF __clockid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:169 */
#line 169 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef int __clockid_t;
/* END TYPEDEF __clockid_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:169 */

/* BEGIN TYPEDEF __int_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:58 */
#line 58 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __int64_t __int_least64_t;
/* END TYPEDEF __int_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:58 */

/* BEGIN TYPEDEF fpos_t LOC=/usr/include/stdio.h:85 */
#line 85 "/usr/include/stdio.h"
typedef __fpos_t fpos_t;
/* END TYPEDEF fpos_t LOC=/usr/include/stdio.h:85 */

/* BEGIN TYPEDEF __key_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:166 */
#line 166 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef int __key_t;
/* END TYPEDEF __key_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:166 */

/* BEGIN TYPEDEF _IO_lock_t LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:44 */
#line 44 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h"
typedef void _IO_lock_t;
/* END TYPEDEF _IO_lock_t LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:44 */

/* BEGIN TYPEDEF __blkcnt_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:180 */
#line 180 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __blkcnt_t;
/* END TYPEDEF __blkcnt_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:180 */

/* BEGIN TYPEDEF __int_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:52 */
#line 52 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __int8_t __int_least8_t;
/* END TYPEDEF __int_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:52 */

/* BEGIN TYPEDEF lldiv_t LOC=/usr/include/stdlib.h:77 */
#line 77 "/usr/include/stdlib.h"
typedef struct __anonstruct_lldiv_t_103911545 lldiv_t;
/* END TYPEDEF lldiv_t LOC=/usr/include/stdlib.h:77 */

/* BEGIN STRUCT-DECL timespec LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h:11 15 */
#line 11 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h"
struct timespec ;
/* END STRUCT-DECL timespec LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h:11 15 */

/* BEGIN TYPEDEF __uint_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:53 */
#line 53 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef __uint8_t __uint_least8_t;
/* END TYPEDEF __uint_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:53 */

/* BEGIN TYPEDEF __nlink_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:151 */
#line 151 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __nlink_t;
/* END TYPEDEF __nlink_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:151 */

/* BEGIN TYPEDEF __syscall_slong_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:197 */
#line 197 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __syscall_slong_t;
/* END TYPEDEF __syscall_slong_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:197 */

/* BEGIN TYPEDEF __mode_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:150 */
#line 150 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __mode_t;
/* END TYPEDEF __mode_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:150 */

/* BEGIN TYPEDEF __u_quad_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:64 */
#line 64 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __u_quad_t;
/* END TYPEDEF __u_quad_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:64 */

/* BEGIN TYPEDEF __u_int LOC=/usr/include/x86_64-linux-gnu/bits/types.h:33 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __u_int;
/* END TYPEDEF __u_int LOC=/usr/include/x86_64-linux-gnu/bits/types.h:33 */

/* BEGIN TYPEDEF caddr_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:115 */
#line 115 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __caddr_t caddr_t;
/* END TYPEDEF caddr_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:115 */

/* BEGIN FUNCTION-DECL-EXTERN fadd LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:24 VKEY=4607 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fadd)(double __x ,
                                                                             double __y ) ;
/* END FUNCTION-DECL-EXTERN fadd LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:24 VKEY=4607 */

/* BEGIN FUNCTION-DECL-EXTERN __dremf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=3483 */
#line 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __dremf)(float __x ,
                                                                                float __y ) ;
/* END FUNCTION-DECL-EXTERN __dremf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=3483 */

/* BEGIN FUNCTION-DECL-EXTERN on_exit LOC=/usr/include/stdlib.h:749 VKEY=1373 */
#line 749 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) on_exit)(void (*__func)(int __status ,
                                                                                                             void *__arg ) ,
                                                                                              void *__arg ) ;
/* END FUNCTION-DECL-EXTERN on_exit LOC=/usr/include/stdlib.h:749 VKEY=1373 */

/* BEGIN FUNCTION-DECL-EXTERN __dreml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=4197 */
#line 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __dreml)(long double __x ,
                                                                                      long double __y ) ;
/* END FUNCTION-DECL-EXTERN __dreml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=4197 */

/* BEGIN FUNCTION-DECL-EXTERN strtok_r LOC=/usr/include/string.h:366 VKEY=1794 */
#line 366 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(2,3), __leaf__)) strtok_r)(char * __restrict  __s ,
                                                                                                   char const   * __restrict  __delim ,
                                                                                                   char ** __restrict  __save_ptr ) ;
/* END FUNCTION-DECL-EXTERN strtok_r LOC=/usr/include/string.h:366 VKEY=1794 */

/* BEGIN FUNCTION-DECL-EXTERN significandl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=4200 */
#line 224 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) significandl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN significandl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=4200 */

/* BEGIN FUNCTION-DECL-EXTERN __fmaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3751 */
#line 373
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __fmaf)(float __x ,
                                                                               float __y ,
                                                                               float __z ) ;
/* END FUNCTION-DECL-EXTERN __fmaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3751 */

/* BEGIN FUNCTION-DECL-EXTERN __lgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=4279 */
#line 266
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __lgammal)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __lgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=4279 */

/* BEGIN FUNCTION-DECL-EXTERN isspace_l LOC=/usr/include/ctype.h:259 VKEY=4804 */
#line 259 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isspace_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isspace_l LOC=/usr/include/ctype.h:259 VKEY=4804 */

/* BEGIN FUNCTION-DECL-EXTERN strtok LOC=/usr/include/string.h:356 VKEY=1780 */
#line 356 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(2), __leaf__)) strtok)(char * __restrict  __s ,
                                                                                               char const   * __restrict  __delim ) ;
/* END FUNCTION-DECL-EXTERN strtok LOC=/usr/include/string.h:356 VKEY=1780 */

/* BEGIN FUNCTION-DECL-EXTERN explicit_bzero LOC=/usr/include/string.h:466 VKEY=1916 */
#line 466
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) explicit_bzero)(void *__s ,
                                                                                                      size_t __n )  __attribute__((__access__(__write_only__,1,2))) ;
/* END FUNCTION-DECL-EXTERN explicit_bzero LOC=/usr/include/string.h:466 VKEY=1916 */

/* BEGIN FUNCTION-DECL-EXTERN bzero LOC=/usr/include/strings.h:42 VKEY=1864 */
#line 42 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) bzero)(void *__s ,
                                                                                             size_t __n ) ;
/* END FUNCTION-DECL-EXTERN bzero LOC=/usr/include/strings.h:42 VKEY=1864 */

/* BEGIN FUNCTION-DECL-EXTERN _toupper LOC=/usr/include/ctype.h:150 VKEY=4756 */
#line 150 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) _toupper)(int  ) ;
/* END FUNCTION-DECL-EXTERN _toupper LOC=/usr/include/ctype.h:150 VKEY=4756 */

/* BEGIN FUNCTION-DECL-EXTERN __significandf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=3489 */
#line 224 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __significandf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __significandf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=3489 */

/* BEGIN FUNCTION-DECL-EXTERN __nextdown LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=2905 */
#line 302
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __nextdown)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __nextdown LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=2905 */

/* BEGIN FUNCTION-DECL-EXTERN putc_unlocked LOC=/usr/include/stdio.h:635 VKEY=2257 */
#line 635 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(2))) putc_unlocked)(int __c , FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN putc_unlocked LOC=/usr/include/stdio.h:635 VKEY=2257 */

/* BEGIN FUNCTION-DECL-EXTERN putc LOC=/usr/include/stdio.h:612 VKEY=2244 */
#line 612
extern int ( __attribute__((__nonnull__(2))) putc)(int __c , FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN putc LOC=/usr/include/stdio.h:612 VKEY=2244 */

/* BEGIN TYPEDEF suseconds_t LOC=/usr/include/x86_64-linux-gnu/sys/select.h:43 */
#line 43 "/usr/include/x86_64-linux-gnu/sys/select.h"
typedef __suseconds_t suseconds_t;
/* END TYPEDEF suseconds_t LOC=/usr/include/x86_64-linux-gnu/sys/select.h:43 */

/* BEGIN FUNCTION-DECL-EXTERN __isnanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=3166 */
#line 37 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isnanf)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isnanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=3166 */

/* BEGIN FUNCTION-DECL-EXTERN trunc LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:338 VKEY=2965 */
#line 338 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) trunc)(double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN trunc LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:338 VKEY=2965 */

/* BEGIN FUNCTION-DECL-EXTERN __lrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=2985 */
#line 350
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __lrint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __lrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=2985 */

/* BEGIN FUNCTION-DECL-EXTERN aligned_alloc LOC=/usr/include/stdlib.h:724 VKEY=1351 */
#line 724 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__leaf__)) aligned_alloc)(size_t __alignment ,
                                                                                      size_t __size )  __attribute__((__malloc__,
__alloc_size__(2), __alloc_align__(1))) ;
/* END FUNCTION-DECL-EXTERN aligned_alloc LOC=/usr/include/stdlib.h:724 VKEY=1351 */

/* BEGIN UNION-DECL __anonunion_pthread_barrierattr_t_951761806 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:114 CKEY=33 */
#line 114 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_barrierattr_t_951761806 ;
/* END UNION-DECL __anonunion_pthread_barrierattr_t_951761806 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:114 CKEY=33 */

/* BEGIN FUNCTION-DECL-EXTERN atol LOC=/usr/include/stdlib.h:108 VKEY=985 */
#line 108 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__nonnull__(1), __leaf__)) atol)(char const   *__nptr )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN atol LOC=/usr/include/stdlib.h:108 VKEY=985 */

/* BEGIN FUNCTION-DECL-EXTERN fminimuml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:421 VKEY=4539 */
#line 421 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fminimuml)(long double __x ,
                                                                                        long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimuml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:421 VKEY=4539 */

/* BEGIN FUNCTION-DECL-EXTERN __atan2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3202 */
#line 59
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __atan2f)(float __y ,
                                                                                 float __x ) ;
/* END FUNCTION-DECL-EXTERN __atan2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3202 */

/* BEGIN STRUCT-DECL __anonstruct___sigset_t_783464054 LOC=/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h:5 13 */
#line 5 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h"
struct __anonstruct___sigset_t_783464054 ;
/* END STRUCT-DECL __anonstruct___sigset_t_783464054 LOC=/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h:5 13 */

/* BEGIN FUNCTION-DECL-EXTERN clearerr_unlocked LOC=/usr/include/stdio.h:858 VKEY=2394 */
#line 858 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) clearerr_unlocked)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN clearerr_unlocked LOC=/usr/include/stdio.h:858 VKEY=2394 */

/* BEGIN FUNCTION-DECL-EXTERN mbtowc LOC=/usr/include/stdlib.h:1065 VKEY=1583 */
#line 1065 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) mbtowc)(wchar_t * __restrict  __pwc ,
                                                                             char const   * __restrict  __s ,
                                                                             size_t __n ) ;
/* END FUNCTION-DECL-EXTERN mbtowc LOC=/usr/include/stdlib.h:1065 VKEY=1583 */

/* BEGIN STRUCT-DECL __pthread_internal_list LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:51 19 */
#line 51 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __pthread_internal_list ;
/* END STRUCT-DECL __pthread_internal_list LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:51 19 */

/* BEGIN TYPEDEF __pthread_slist_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:57 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
typedef struct __pthread_internal_slist __pthread_slist_t;
/* END TYPEDEF __pthread_slist_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:57 */

/* BEGIN FUNCTION-DECL-EXTERN llround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3000 */
#line 358 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llround)(double __x ) ;
/* END FUNCTION-DECL-EXTERN llround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3000 */

/* BEGIN FUNCTION-DECL-EXTERN hypotf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=3437 */
#line 180
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) hypotf)(float __x ,
                                                                               float __y ) ;
/* END FUNCTION-DECL-EXTERN hypotf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=3437 */

/* BEGIN FUNCTION-DECL-EXTERN __asinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3186 */
#line 55
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __asinf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __asinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3186 */

/* BEGIN FUNCTION-DECL-EXTERN log1pl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=4109 */
#line 155
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) log1pl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN log1pl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=4109 */

/* BEGIN FUNCTION-DECL-EXTERN __stpncpy LOC=/usr/include/string.h:496 VKEY=1941 */
#line 496 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) __stpncpy)(char * __restrict  __dest ,
                                                                                                    char const   * __restrict  __src ,
                                                                                                    size_t __n ) ;
/* END FUNCTION-DECL-EXTERN __stpncpy LOC=/usr/include/string.h:496 VKEY=1941 */

/* BEGIN FUNCTION-DECL-EXTERN __log10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=2626 */
#line 125 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __log10)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __log10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=2626 */

/* BEGIN FUNCTION-DECL-EXTERN ufromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=4489 */
#line 387
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) ufromfpl)(long double __x ,
                                                                                       int __round ,
                                                                                       unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN ufromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=4489 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:424 VKEY=3830 */
#line 424
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmaximum_numf)(float __x ,
                                                                                      float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:424 VKEY=3830 */

/* BEGIN FUNCTION-DECL-EXTERN memmem LOC=/usr/include/string.h:389 VKEY=1808 */
#line 389 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1,3), __leaf__)) memmem)(void const   *__haystack ,
                                                                                                 size_t __haystacklen ,
                                                                                                 void const   *__needle ,
                                                                                                 size_t __needlelen )  __attribute__((__pure__,
__access__(__read_only__,3,4), __access__(__read_only__,1,2))) ;
/* END FUNCTION-DECL-EXTERN memmem LOC=/usr/include/string.h:389 VKEY=1808 */

/* BEGIN FUNCTION-DECL-EXTERN __fdim LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3013 */
#line 362 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __fdim)(double __x ,
                                                                                double __y ) ;
/* END FUNCTION-DECL-EXTERN __fdim LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3013 */

/* BEGIN FUNCTION-DECL-EXTERN labs LOC=/usr/include/stdlib.h:981 VKEY=1451 */
#line 981 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) labs)(long __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN labs LOC=/usr/include/stdlib.h:981 VKEY=1451 */

/* BEGIN TYPEDEF ulong LOC=/usr/include/x86_64-linux-gnu/sys/types.h:148 */
#line 148 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef unsigned long ulong;
/* END TYPEDEF ulong LOC=/usr/include/x86_64-linux-gnu/sys/types.h:148 */

/* BEGIN FUNCTION-DECL-EXTERN strcoll_l LOC=/usr/include/string.h:175 VKEY=1723 */
#line 175 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2,3), __leaf__)) strcoll_l)(char const   *__s1 ,
                                                                                                    char const   *__s2 ,
                                                                                                    locale_t __l )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcoll_l LOC=/usr/include/string.h:175 VKEY=1723 */

/* BEGIN FUNCTION-DECL-EXTERN atan2pil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3957 */
#line 76 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) atan2pil)(long double __y ,
                                                                                       long double __x ) ;
/* END FUNCTION-DECL-EXTERN atan2pil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3957 */

/* BEGIN FUNCTION-DECL-EXTERN strndup LOC=/usr/include/string.h:195 VKEY=1740 */
#line 195 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) strndup)(char const   *__string ,
                                                                                                size_t __n )  __attribute__((__malloc__)) ;
/* END FUNCTION-DECL-EXTERN strndup LOC=/usr/include/string.h:195 VKEY=1740 */

/* BEGIN FUNCTION-DECL-EXTERN index LOC=/usr/include/strings.h:68 VKEY=1869 */
#line 68 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) index)(char const   *__s ,
                                                                                              int __c )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN index LOC=/usr/include/strings.h:68 VKEY=1869 */

/* BEGIN FUNCTION-DECL-EXTERN drand48 LOC=/usr/include/stdlib.h:587 VKEY=1217 */
#line 587 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) drand48)(void) ;
/* END FUNCTION-DECL-EXTERN drand48 LOC=/usr/include/stdlib.h:587 VKEY=1217 */

/* BEGIN FUNCTION-DECL-EXTERN log10p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=2663 */
#line 144 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) log10p1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN log10p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=2663 */

/* BEGIN FUNCTION-DECL-EXTERN __iseqsig LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=2457 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __iseqsig)(double __x ,
                                                                                double __y ) ;
/* END FUNCTION-DECL-EXTERN __iseqsig LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=2457 */

/* BEGIN FUNCTION-DECL-EXTERN __signbitf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=4585 */
#line 24
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __signbitf128)(_Float128 __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __signbitf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=4585 */

/* BEGIN FUNCTION-DECL-EXTERN __rintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=4307 */
#line 292 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __rintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __rintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=4307 */

/* BEGIN FUNCTION-DECL-EXTERN modf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=2631 */
#line 128
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) modf)(double __x ,
                                                                              double *__iptr ) ;
/* END FUNCTION-DECL-EXTERN modf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=2631 */

/* BEGIN FUNCTION-DECL-EXTERN __hypotf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=3442 */
#line 180
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __hypotf)(float __x ,
                                                                                 float __y ) ;
/* END FUNCTION-DECL-EXTERN __hypotf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=3442 */

/* BEGIN FUNCTION-DECL-EXTERN freopen LOC=/usr/include/stdio.h:271 VKEY=2027 */
#line 271 "/usr/include/stdio.h"
extern FILE *( __attribute__((__nonnull__(3))) freopen)(char const   * __restrict  __filename ,
                                                        char const   * __restrict  __modes ,
                                                        FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN freopen LOC=/usr/include/stdio.h:271 VKEY=2027 */

/* BEGIN FUNCTION-DECL-EXTERN frexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=3313 */
#line 116 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) frexpf)(float __x ,
                                                                               int *__exponent ) ;
/* END FUNCTION-DECL-EXTERN frexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=3313 */

/* BEGIN FUNCTION-DECL-EXTERN toascii LOC=/usr/include/ctype.h:146 VKEY=4753 */
#line 146 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) toascii)(int __c ) ;
/* END FUNCTION-DECL-EXTERN toascii LOC=/usr/include/ctype.h:146 VKEY=4753 */

/* BEGIN UNION __anonunion_pthread_mutexattr_t_488594144 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:32 CKEY=25 */
#line 32 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_mutexattr_t_488594144 {
   char __size[4] ;
   int __align ;
};
/* END UNION __anonunion_pthread_mutexattr_t_488594144 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:32 CKEY=25 */

/* BEGIN FUNCTION-DECL-EXTERN ufromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3089 */
#line 399 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) ufromfpx)(double __x ,
                                                                                       int __round ,
                                                                                       unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN ufromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3089 */

/* BEGIN FUNCTION-DECL-EXTERN __y1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=2823 */
#line 257
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __y1)(double  ) ;
/* END FUNCTION-DECL-EXTERN __y1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=2823 */

/* BEGIN FUNCTION-DECL-EXTERN cosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=2555 */
#line 89
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) cosh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN cosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=2555 */

/* BEGIN FUNCTION-DECL-EXTERN log1p LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=2681 */
#line 155
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) log1p)(double __x ) ;
/* END FUNCTION-DECL-EXTERN log1p LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=2681 */

/* BEGIN FUNCTION-DECL-EXTERN __logbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=4118 */
#line 158
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __logbl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __logbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=4118 */

/* BEGIN FUNCTION-DECL-EXTERN __log1pf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=3398 */
#line 155
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __log1pf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __log1pf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=3398 */

/* BEGIN FUNCTION-DECL-EXTERN isgraph_l LOC=/usr/include/ctype.h:256 VKEY=4789 */
#line 256 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isgraph_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isgraph_l LOC=/usr/include/ctype.h:256 VKEY=4789 */

/* BEGIN TYPEDEF va_list LOC=/usr/include/stdio.h:53 */
#line 53 "/usr/include/stdio.h"
typedef __gnuc_va_list va_list;
/* END TYPEDEF va_list LOC=/usr/include/stdio.h:53 */

/* BEGIN FUNCTION-DECL-EXTERN expl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=4019 */
#line 113 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) expl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN expl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=4019 */

/* BEGIN FUNCTION-DECL-EXTERN __lgamma_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=2873 */
#line 285
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __lgamma_r)(double  ,
                                                                                    int *__signgamp ) ;
/* END FUNCTION-DECL-EXTERN __lgamma_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=2873 */

/* BEGIN FUNCTION-DECL-EXTERN fdivl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:27 VKEY=4642 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fdivl)(long double __x ,
                                                                              long double __y ) ;
/* END FUNCTION-DECL-EXTERN fdivl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:27 VKEY=4642 */

/* BEGIN FUNCTION-DECL-EXTERN __stpcpy LOC=/usr/include/string.h:489 VKEY=1929 */
#line 489 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) __stpcpy)(char * __restrict  __dest ,
                                                                                                   char const   * __restrict  __src ) ;
/* END FUNCTION-DECL-EXTERN __stpcpy LOC=/usr/include/string.h:489 VKEY=1929 */

/* BEGIN TYPEDEF __rlim64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:158 */
#line 158 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __rlim64_t;
/* END TYPEDEF __rlim64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:158 */

/* BEGIN FUNCTION-DECL-EXTERN __ctype_b_loc LOC=/usr/include/ctype.h:79 VKEY=4699 */
#line 79 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) unsigned short const   **( __attribute__((__leaf__)) __ctype_b_loc)(void)  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __ctype_b_loc LOC=/usr/include/ctype.h:79 VKEY=4699 */

/* BEGIN FUNCTION-DECL-EXTERN fdim LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3008 */
#line 362 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fdim)(double __x ,
                                                                              double __y ) ;
/* END FUNCTION-DECL-EXTERN fdim LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3008 */

/* BEGIN FUNCTION-DECL-EXTERN sinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=2543 */
#line 81
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) sinpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN sinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=2543 */

/* BEGIN FUNCTION-DECL-EXTERN __cospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3968 */
#line 79
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __cospil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __cospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3968 */

/* BEGIN FUNCTION-DECL-EXTERN isinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:210 VKEY=2756 */
#line 210
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isinf)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN isinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:210 VKEY=2756 */

/* BEGIN UNION-DECL __anonunion_pthread_mutex_t_335460617 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:67 CKEY=28 */
#line 67 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_mutex_t_335460617 ;
/* END UNION-DECL __anonunion_pthread_mutex_t_335460617 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:67 CKEY=28 */

/* BEGIN FUNCTION-DECL-EXTERN ufromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3803 */
#line 399 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) ufromfpxf)(float __x ,
                                                                                        int __round ,
                                                                                        unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN ufromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3803 */

/* BEGIN FUNCTION-DECL-EXTERN logl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=4045 */
#line 122
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) logl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN logl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=4045 */

/* BEGIN FUNCTION-DECL-EXTERN __sinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3928 */
#line 64
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __sinl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __sinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3928 */

/* BEGIN FUNCTION-DECL-EXTERN fscanf LOC=/usr/include/stdio.h:422 VKEY=2157 */
#line 422 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fscanf)(FILE * __restrict  __stream ,
                                                     char const   * __restrict  __format 
                                                     , ...)  __asm__("__isoc23_fscanf")  ;
/* END FUNCTION-DECL-EXTERN fscanf LOC=/usr/include/stdio.h:422 VKEY=2157 */

/* BEGIN FUNCTION-DECL-EXTERN lcong48 LOC=/usr/include/stdlib.h:604 VKEY=1241 */
#line 604 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) lcong48)(unsigned short *__param ) ;
/* END FUNCTION-DECL-EXTERN lcong48 LOC=/usr/include/stdlib.h:604 VKEY=1241 */

/* BEGIN FUNCTION-DECL-EXTERN strtod LOC=/usr/include/stdlib.h:118 VKEY=993 */
#line 118
extern  __attribute__((__nothrow__)) double ( __attribute__((__nonnull__(1), __leaf__)) strtod)(char const   * __restrict  __nptr ,
                                                                                                char ** __restrict  __endptr ) ;
/* END FUNCTION-DECL-EXTERN strtod LOC=/usr/include/stdlib.h:118 VKEY=993 */

/* BEGIN FUNCTION-DECL-EXTERN select LOC=/usr/include/x86_64-linux-gnu/sys/select.h:102 VKEY=1152 */
#line 102 "/usr/include/x86_64-linux-gnu/sys/select.h"
extern int select(int __nfds , fd_set * __restrict  __readfds , fd_set * __restrict  __writefds ,
                  fd_set * __restrict  __exceptfds , struct timeval * __restrict  __timeout ) ;
/* END FUNCTION-DECL-EXTERN select LOC=/usr/include/x86_64-linux-gnu/sys/select.h:102 VKEY=1152 */

/* BEGIN TYPEDEF pthread_mutex_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:67 */
#line 67 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_mutex_t_335460617 pthread_mutex_t;
/* END TYPEDEF pthread_mutex_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:67 */

/* BEGIN FUNCTION-DECL-EXTERN lroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=3708 */
#line 356 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lroundf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN lroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=3708 */

/* BEGIN TYPEDEF double_t LOC=/usr/include/math.h:168 */
#line 168 "/usr/include/math.h"
typedef double double_t;
/* END TYPEDEF double_t LOC=/usr/include/math.h:168 */

/* BEGIN FUNCTION-DECL-EXTERN fabsf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:195 VKEY=3454 */
#line 195 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fabsf)(float __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fabsf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:195 VKEY=3454 */

/* BEGIN FUNCTION-DECL-EXTERN __fromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3054 */
#line 382
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) __fromfp)(double __x ,
                                                                                      int __round ,
                                                                                      unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __fromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3054 */

/* BEGIN FUNCTION-DECL-EXTERN __logf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=3334 */
#line 122
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __logf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __logf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=3334 */

/* BEGIN FUNCTION-DECL-EXTERN setlinebuf LOC=/usr/include/stdio.h:349 VKEY=2075 */
#line 349 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) setlinebuf)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN setlinebuf LOC=/usr/include/stdio.h:349 VKEY=2075 */

/* BEGIN FUNCTION-DECL-EXTERN __sinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3214 */
#line 64 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __sinf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __sinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3214 */

/* BEGIN FUNCTION-DECL-EXTERN srand LOC=/usr/include/stdlib.h:575 VKEY=1211 */
#line 575 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__leaf__)) srand)(unsigned int __seed ) ;
/* END FUNCTION-DECL-EXTERN srand LOC=/usr/include/stdlib.h:575 VKEY=1211 */

/* BEGIN FUNCTION-DECL-EXTERN roundevenf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:378 VKEY=3754 */
#line 378 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) roundevenf)(float __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN roundevenf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:378 VKEY=3754 */

/* BEGIN FUNCTION-DECL-EXTERN ufromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3775 */
#line 387
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) ufromfpf)(float __x ,
                                                                                       int __round ,
                                                                                       unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN ufromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3775 */

/* BEGIN FUNCTION-DECL-EXTERN fdimf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3722 */
#line 362
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fdimf)(float __x ,
                                                                              float __y ) ;
/* END FUNCTION-DECL-EXTERN fdimf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3722 */

/* BEGIN FUNCTION-DECL-EXTERN fflush LOC=/usr/include/stdio.h:236 VKEY=2012 */
#line 236 "/usr/include/stdio.h"
extern int fflush(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fflush LOC=/usr/include/stdio.h:236 VKEY=2012 */

/* BEGIN FUNCTION-DECL-EXTERN log10p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=3377 */
#line 144 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) log10p1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN log10p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=3377 */

/* BEGIN FUNCTION-DECL-EXTERN __nanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=3500 */
#line 236
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __nanf)(char const   *__tagb ) ;
/* END FUNCTION-DECL-EXTERN __nanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=3500 */

/* BEGIN FUNCTION-DECL-EXTERN isdigit_l LOC=/usr/include/ctype.h:254 VKEY=4779 */
#line 254 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isdigit_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isdigit_l LOC=/usr/include/ctype.h:254 VKEY=4779 */

/* BEGIN FUNCTION-DECL-EXTERN significand LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=2772 */
#line 224 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) significand)(double __x ) ;
/* END FUNCTION-DECL-EXTERN significand LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=2772 */

/* BEGIN FUNCTION-DECL-EXTERN __expl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=4022 */
#line 113
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __expl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __expl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=4022 */

/* BEGIN FUNCTION-DECL-EXTERN a64l LOC=/usr/include/stdlib.h:508 VKEY=1120 */
#line 508 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__nonnull__(1), __leaf__)) a64l)(char const   *__s )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN a64l LOC=/usr/include/stdlib.h:508 VKEY=1120 */

/* BEGIN FUNCTION-DECL-EXTERN qsort LOC=/usr/include/stdlib.h:970 VKEY=1445 */
#line 970
extern void ( __attribute__((__nonnull__(1,4))) qsort)(void *__base , size_t __nmemb ,
                                                       size_t __size , int (*__compar)(void const   * ,
                                                                                       void const   * ) ) ;
/* END FUNCTION-DECL-EXTERN qsort LOC=/usr/include/stdlib.h:970 VKEY=1445 */

/* BEGIN FUNCTION-DECL-EXTERN rand LOC=/usr/include/stdlib.h:573 VKEY=1208 */
#line 573
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) rand)(void) ;
/* END FUNCTION-DECL-EXTERN rand LOC=/usr/include/stdlib.h:573 VKEY=1208 */

/* BEGIN FUNCTION-DECL-EXTERN isblank LOC=/usr/include/ctype.h:130 VKEY=4747 */
#line 130 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isblank)(int  ) ;
/* END FUNCTION-DECL-EXTERN isblank LOC=/usr/include/ctype.h:130 VKEY=4747 */

/* BEGIN FUNCTION-DECL-EXTERN getw LOC=/usr/include/stdio.h:643 VKEY=2263 */
#line 643 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) getw)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN getw LOC=/usr/include/stdio.h:643 VKEY=2263 */

/* BEGIN FUNCTION-DECL-EXTERN strfromd LOC=/usr/include/stdlib.h:278 VKEY=1096 */
#line 278 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3), __leaf__)) strfromd)(char *__dest ,
                                                                                               size_t __size ,
                                                                                               char const   *__format ,
                                                                                               double __f ) ;
/* END FUNCTION-DECL-EXTERN strfromd LOC=/usr/include/stdlib.h:278 VKEY=1096 */

/* BEGIN FUNCTION-DECL-EXTERN realloc LOC=/usr/include/stdlib.h:683 VKEY=1316 */
#line 683
extern  __attribute__((__nothrow__)) void *( __attribute__((__warn_unused_result__,
__leaf__)) realloc)(void *__ptr , size_t __size )  __attribute__((__alloc_size__(2))) ;
/* END FUNCTION-DECL-EXTERN realloc LOC=/usr/include/stdlib.h:683 VKEY=1316 */

/* BEGIN FUNCTION-DECL-EXTERN acoshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=3287 */
#line 103 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) acoshf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN acoshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=3287 */

/* BEGIN FUNCTION-DECL-EXTERN strrchr LOC=/usr/include/string.h:273 VKEY=1750 */
#line 273 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) strrchr)(char const   *__s ,
                                                                                                int __c )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strrchr LOC=/usr/include/string.h:273 VKEY=1750 */

/* BEGIN FUNCTION-DECL-EXTERN strtof LOC=/usr/include/stdlib.h:124 VKEY=998 */
#line 124 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__nonnull__(1), __leaf__)) strtof)(char const   * __restrict  __nptr ,
                                                                                               char ** __restrict  __endptr ) ;
/* END FUNCTION-DECL-EXTERN strtof LOC=/usr/include/stdlib.h:124 VKEY=998 */

/* BEGIN FUNCTION-DECL-EXTERN __exp10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=2642 */
#line 132 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __exp10)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=2642 */

/* BEGIN FUNCTION-DECL-EXTERN setbuf LOC=/usr/include/stdio.h:334 VKEY=2056 */
#line 334 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) setbuf)(FILE * __restrict  __stream ,
                                                                                              char * __restrict  __buf ) ;
/* END FUNCTION-DECL-EXTERN setbuf LOC=/usr/include/stdio.h:334 VKEY=2056 */

/* BEGIN FUNCTION-DECL-EXTERN scalbn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=2926 */
#line 312 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) scalbn)(double __x ,
                                                                                int __n ) ;
/* END FUNCTION-DECL-EXTERN scalbn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=2926 */

/* BEGIN FUNCTION-DECL-EXTERN logp1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=2669 */
#line 147
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) logp1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN logp1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=2669 */

/* BEGIN STRUCT _G_fpos_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h:10 40 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h"
struct _G_fpos_t {
   __off_t __pos ;
   __mbstate_t __state ;
};
/* END STRUCT _G_fpos_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h:10 40 */

/* BEGIN FUNCTION-DECL-EXTERN __issignalingf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=3174 */
#line 44 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __issignalingf)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __issignalingf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=3174 */

/* BEGIN FUNCTION-DECL-EXTERN __nexttoward LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=2899 */
#line 297 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __nexttoward)(double __x ,
                                                                                      long double __y ) ;
/* END FUNCTION-DECL-EXTERN __nexttoward LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=2899 */

/* BEGIN FUNCTION-DECL-EXTERN __asprintf LOC=/usr/include/stdio.h:400 VKEY=2135 */
#line 400 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( /* format attribute */  __asprintf)(char ** __restrict  __ptr ,
                                                                               char const   * __restrict  __fmt 
                                                                               , ...) ;
/* END FUNCTION-DECL-EXTERN __asprintf LOC=/usr/include/stdio.h:400 VKEY=2135 */

/* BEGIN FUNCTION-DECL-EXTERN __overflow LOC=/usr/include/stdio.h:950 VKEY=2437 */
#line 950
extern int __overflow(FILE * , int  ) ;
/* END FUNCTION-DECL-EXTERN __overflow LOC=/usr/include/stdio.h:950 VKEY=2437 */

/* BEGIN FUNCTION-DECL-EXTERN strerror_r LOC=/usr/include/string.h:432 VKEY=1840 */
#line 432 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(2), __leaf__)) strerror_r)(int __errnum ,
                                                                                                 char *__buf ,
                                                                                                 size_t __buflen )  __asm__("__xpg_strerror_r") __attribute__((__access__(__write_only__,2,3))) ;
/* END FUNCTION-DECL-EXTERN strerror_r LOC=/usr/include/string.h:432 VKEY=1840 */

/* BEGIN FUNCTION-DECL-EXTERN j0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=2792 */
#line 253 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) j0)(double  ) ;
/* END FUNCTION-DECL-EXTERN j0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=2792 */

/* BEGIN STRUCT TYPE_5__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:36 47 */
#line 36 "/tmp/forklift_obfu_ecfkw6la/input.c"
struct TYPE_5__ {
   size_t___0 pri ;
   size_t___0 ult ;
   int *datos ;
};
/* END STRUCT TYPE_5__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:36 47 */

/* BEGIN FUNCTION-DECL-EXTERN expm1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=4103 */
#line 152 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) expm1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN expm1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=4103 */

/* BEGIN FUNCTION-DECL-EXTERN __log10p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=2666 */
#line 144
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __log10p1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __log10p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=2666 */

/* BEGIN FUNCTION-DECL-EXTERN remquo LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=2972 */
#line 343
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) remquo)(double __x ,
                                                                                double __y ,
                                                                                int *__quo ) ;
/* END FUNCTION-DECL-EXTERN remquo LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=2972 */

/* BEGIN FUNCTION-DECL-EXTERN __remainder LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=2921 */
#line 308
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __remainder)(double __x ,
                                                                                     double __y ) ;
/* END FUNCTION-DECL-EXTERN __remainder LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=2921 */

/* BEGIN FUNCTION-DECL-EXTERN lgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=4276 */
#line 266
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) lgammal)(long double  ) ;
/* END FUNCTION-DECL-EXTERN lgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=4276 */

/* BEGIN FUNCTION-DECL-EXTERN __fma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3037 */
#line 373
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __fma)(double __x ,
                                                                               double __y ,
                                                                               double __z ) ;
/* END FUNCTION-DECL-EXTERN __fma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3037 */

/* BEGIN FUNCTION-DECL-EXTERN cbrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=4159 */
#line 185
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) cbrtl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN cbrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=4159 */

/* BEGIN FUNCTION-DECL-EXTERN scalbnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=4354 */
#line 312
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) scalbnl)(long double __x ,
                                                                                      int __n ) ;
/* END FUNCTION-DECL-EXTERN scalbnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=4354 */

/* BEGIN FUNCTION-DECL-EXTERN atan2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3197 */
#line 59
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) atan2f)(float __y ,
                                                                               float __x ) ;
/* END FUNCTION-DECL-EXTERN atan2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3197 */

/* BEGIN FUNCTION-DECL-EXTERN tmpnam LOC=/usr/include/stdio.h:211 VKEY=2001 */
#line 211 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) tmpnam)(char * ) ;
/* END FUNCTION-DECL-EXTERN tmpnam LOC=/usr/include/stdio.h:211 VKEY=2001 */

/* BEGIN FUNCTION-DECL-EXTERN __lgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=2851 */
#line 266 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __lgamma)(double  ) ;
/* END FUNCTION-DECL-EXTERN __lgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=2851 */

/* BEGIN FUNCTION-DECL main LOC=UNKNOWN VKEY=4879 */
int main(int _TIG_IZ_Gv2W_formal_argc , char **_TIG_IZ_Gv2W_formal_argv , char **_TIG_IZ_Gv2W_formal_envp ) ;
/* END FUNCTION-DECL main LOC=UNKNOWN VKEY=4879 */

/* BEGIN FUNCTION-DECL-EXTERN __log LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=2620 */
#line 122
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __log)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __log LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=2620 */

/* BEGIN FUNCTION-DECL-EXTERN __logl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=4048 */
#line 122
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __logl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __logl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=4048 */

/* BEGIN FUNCTION-DECL-EXTERN atanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3189 */
#line 57
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) atanf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN atanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3189 */

/* BEGIN FUNCTION-DECL-EXTERN fread LOC=/usr/include/stdio.h:728 VKEY=2322 */
#line 728 "/usr/include/stdio.h"
extern size_t ( __attribute__((__nonnull__(4))) fread)(void * __restrict  __ptr ,
                                                       size_t __size , size_t __n ,
                                                       FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN fread LOC=/usr/include/stdio.h:728 VKEY=2322 */

/* BEGIN FUNCTION-DECL-EXTERN nextupf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=3622 */
#line 304 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) nextupf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN nextupf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=3622 */

/* BEGIN FUNCTION-DECL-EXTERN __tanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3284 */
#line 93
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __tanhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __tanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3284 */

/* BEGIN FUNCTION-DECL __bswap_32 LOC=UNKNOWN VKEY=1125 */
__inline static __uint32_t __bswap_32(__uint32_t __bsx ) ;
/* END FUNCTION-DECL __bswap_32 LOC=UNKNOWN VKEY=1125 */

/* BEGIN FUNCTION-DECL-EXTERN ispunct_l LOC=/usr/include/ctype.h:258 VKEY=4799 */
#line 258 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ispunct_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN ispunct_l LOC=/usr/include/ctype.h:258 VKEY=4799 */

/* BEGIN FUNCTION-DECL-EXTERN ldexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=3323 */
#line 119 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) ldexpf)(float __x ,
                                                                               int __exponent ) ;
/* END FUNCTION-DECL-EXTERN ldexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=3323 */

/* BEGIN FUNCTION-DECL-EXTERN __modfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=4064 */
#line 128
extern  __attribute__((__nothrow__)) long double ( __attribute__((__nonnull__(2),
__leaf__)) __modfl)(long double __x , long double *__iptr ) ;
/* END FUNCTION-DECL-EXTERN __modfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=4064 */

/* BEGIN FUNCTION-DECL-EXTERN exp2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=4121 */
#line 163
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) exp2l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN exp2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=4121 */

/* BEGIN FUNCTION-DECL-EXTERN nextdownl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=4330 */
#line 302
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) nextdownl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN nextdownl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=4330 */

/* BEGIN FUNCTION-DECL-EXTERN floorl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:198 VKEY=4171 */
#line 198
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) floorl)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN floorl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:198 VKEY=4171 */

/* BEGIN FUNCTION-DECL-EXTERN expf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=3305 */
#line 113
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) expf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN expf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=3305 */

/* BEGIN FUNCTION-DECL-EXTERN fcvt LOC=/usr/include/stdlib.h:1018 VKEY=1487 */
#line 1018 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(3,4), __leaf__)) fcvt)(double __value ,
                                                                                               int __ndigit ,
                                                                                               int * __restrict  __decpt ,
                                                                                               int * __restrict  __sign ) ;
/* END FUNCTION-DECL-EXTERN fcvt LOC=/usr/include/stdlib.h:1018 VKEY=1487 */

/* BEGIN FUNCTION-DECL-EXTERN scalb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3146 */
#line 468 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) scalb)(double __x ,
                                                                               double __n ) ;
/* END FUNCTION-DECL-EXTERN scalb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3146 */

/* BEGIN FUNCTION-DECL-EXTERN fmin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:369 VKEY=3023 */
#line 369
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmin)(double __x ,
                                                                              double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:369 VKEY=3023 */

/* BEGIN FUNCTION-DECL-EXTERN tempnam LOC=/usr/include/stdio.h:228 VKEY=2009 */
#line 228 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) tempnam)(char const   *__dir ,
                                                                                char const   *__pfx )  __attribute__((__malloc__(__builtin_free,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN tempnam LOC=/usr/include/stdio.h:228 VKEY=2009 */

/* BEGIN FUNCTION-DECL-EXTERN isprint LOC=/usr/include/ctype.h:114 VKEY=4726 */
#line 114 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isprint)(int  ) ;
/* END FUNCTION-DECL-EXTERN isprint LOC=/usr/include/ctype.h:114 VKEY=4726 */

/* BEGIN TYPEDEF __once_flag LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:109 */
#line 109 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
typedef struct __anonstruct___once_flag_783464055 __once_flag;
/* END TYPEDEF __once_flag LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:109 */

/* BEGIN UNION __anonunion_pthread_barrierattr_t_951761806 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:114 CKEY=33 */
#line 114 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_barrierattr_t_951761806 {
   char __size[4] ;
   int __align ;
};
/* END UNION __anonunion_pthread_barrierattr_t_951761806 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:114 CKEY=33 */

/* BEGIN FUNCTION-DECL-EXTERN _tolower LOC=/usr/include/ctype.h:151 VKEY=4759 */
#line 151 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) _tolower)(int  ) ;
/* END FUNCTION-DECL-EXTERN _tolower LOC=/usr/include/ctype.h:151 VKEY=4759 */

/* BEGIN FUNCTION-DECL-EXTERN drand48_r LOC=/usr/include/stdlib.h:621 VKEY=1246 */
#line 621 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) drand48_r)(struct drand48_data * __restrict  __buffer ,
                                                                                                  double * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN drand48_r LOC=/usr/include/stdlib.h:621 VKEY=1246 */

/* BEGIN FUNCTION-DECL-EXTERN __tan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=2506 */
#line 66 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __tan)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __tan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=2506 */

/* BEGIN FUNCTION-DECL-EXTERN cospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3965 */
#line 79
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) cospil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN cospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3965 */

/* BEGIN FUNCTION-DECL-EXTERN nanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=3497 */
#line 236
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) nanf)(char const   *__tagb ) ;
/* END FUNCTION-DECL-EXTERN nanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=3497 */

/* BEGIN FUNCTION-DECL-EXTERN frexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=4027 */
#line 116
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) frexpl)(long double __x ,
                                                                                     int *__exponent ) ;
/* END FUNCTION-DECL-EXTERN frexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=4027 */

/* BEGIN FUNCTION-DECL-EXTERN __j0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=4223 */
#line 253
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __j0l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __j0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=4223 */

/* BEGIN FUNCTION-DECL-EXTERN logbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=3401 */
#line 158
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) logbf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN logbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=3401 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximuml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:418 VKEY=4534 */
#line 418
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmaximuml)(long double __x ,
                                                                                        long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximuml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:418 VKEY=4534 */

/* BEGIN FUNCTION-DECL-EXTERN isinfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:210 VKEY=4184 */
#line 210
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isinfl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN isinfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:210 VKEY=4184 */

/* BEGIN FUNCTION-DECL-EXTERN __logp1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=3386 */
#line 147
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __logp1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __logp1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=3386 */

/* BEGIN TYPEDEF loff_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:42 */
#line 42 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __loff_t loff_t;
/* END TYPEDEF loff_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:42 */

/* BEGIN FUNCTION-DECL-EXTERN open_memstream LOC=/usr/include/stdio.h:320 VKEY=2051 */
#line 320 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) FILE *( __attribute__((__leaf__)) open_memstream)(char **__bufloc ,
                                                                                       size_t *__sizeloc )  __attribute__((__malloc__(fclose,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN open_memstream LOC=/usr/include/stdio.h:320 VKEY=2051 */

/* BEGIN FUNCTION-DECL-EXTERN fopencookie LOC=/usr/include/stdio.h:306 VKEY=2039 */
#line 306
extern  __attribute__((__nothrow__)) FILE *( __attribute__((__leaf__)) fopencookie)(void * __restrict  __magic_cookie ,
                                                                                    char const   * __restrict  __modes ,
                                                                                    cookie_io_functions_t __io_funcs )  __attribute__((__malloc__(fclose,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN fopencookie LOC=/usr/include/stdio.h:306 VKEY=2039 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_magl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:433 VKEY=4559 */
#line 433 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fminimum_magl)(long double __x ,
                                                                                            long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_magl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:433 VKEY=4559 */

/* BEGIN TYPEDEF blksize_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:185 */
#line 185 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __blksize_t blksize_t;
/* END TYPEDEF blksize_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:185 */

/* BEGIN FUNCTION-DECL-EXTERN atanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3949 */
#line 74 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) atanpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN atanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3949 */

/* BEGIN FUNCTION-DECL-EXTERN sqrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=3429 */
#line 176
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) sqrtf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN sqrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=3429 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:418 VKEY=3106 */
#line 418
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmaximum)(double __x ,
                                                                                  double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:418 VKEY=3106 */

/* BEGIN FUNCTION-DECL-EXTERN exp2m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=2645 */
#line 135
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) exp2m1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN exp2m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=2645 */

/* BEGIN UNION-DECL __anonunion___atomic_wide_counter_536723229 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 CKEY=17 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h"
union __anonunion___atomic_wide_counter_536723229 ;
/* END UNION-DECL __anonunion___atomic_wide_counter_536723229 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 CKEY=17 */

/* BEGIN TYPEDEF fd_mask LOC=/usr/include/x86_64-linux-gnu/sys/select.h:77 */
#line 77 "/usr/include/x86_64-linux-gnu/sys/select.h"
typedef __fd_mask fd_mask;
/* END TYPEDEF fd_mask LOC=/usr/include/x86_64-linux-gnu/sys/select.h:77 */

/* BEGIN TYPEDEF __socklen_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:210 */
#line 210 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __socklen_t;
/* END TYPEDEF __socklen_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:210 */

/* BEGIN FUNCTION-DECL-EXTERN quick_exit LOC=/usr/include/stdlib.h:762 VKEY=1379 */
#line 762 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) quick_exit)(int __status ) ;
/* END FUNCTION-DECL-EXTERN quick_exit LOC=/usr/include/stdlib.h:762 VKEY=1379 */

/* BEGIN FUNCTION-DECL-EXTERN __finitef LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=3163 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __finitef)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __finitef LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=3163 */

/* BEGIN FUNCTION-DECL-EXTERN __acosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=2576 */
#line 103 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __acosh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __acosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=2576 */

/* BEGIN FUNCTION-DECL-EXTERN scalbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3860 */
#line 468
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) scalbf)(float __x ,
                                                                               float __n ) ;
/* END FUNCTION-DECL-EXTERN scalbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3860 */

/* BEGIN FUNCTION-DECL-EXTERN __gammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=4291 */
#line 277
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __gammal)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __gammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=4291 */

/* BEGIN FUNCTION-DECL-EXTERN __hypot LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=2728 */
#line 180
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __hypot)(double __x ,
                                                                                 double __y ) ;
/* END FUNCTION-DECL-EXTERN __hypot LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=2728 */

/* BEGIN FUNCTION-DECL-EXTERN asinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3943 */
#line 72
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) asinpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN asinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3943 */

/* BEGIN STRUCT __locale_struct LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:27 36 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h"
struct __locale_struct {
   struct __locale_data *__locales[13] ;
   unsigned short const   *__ctype_b ;
   int const   *__ctype_tolower ;
   int const   *__ctype_toupper ;
   char const   *__names[13] ;
};
/* END STRUCT __locale_struct LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:27 36 */

/* BEGIN FUNCTION-DECL-EXTERN asinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=3293 */
#line 105 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) asinhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN asinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=3293 */

/* BEGIN FUNCTION-DECL-EXTERN y0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=3528 */
#line 256
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) y0f)(float  ) ;
/* END FUNCTION-DECL-EXTERN y0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=3528 */

/* BEGIN FUNCTION-DECL-EXTERN abs LOC=/usr/include/stdlib.h:980 VKEY=1448 */
#line 980 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) abs)(int __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN abs LOC=/usr/include/stdlib.h:980 VKEY=1448 */

/* BEGIN FUNCTION-DECL-EXTERN atan2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3911 */
#line 59 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) atan2l)(long double __y ,
                                                                                     long double __x ) ;
/* END FUNCTION-DECL-EXTERN atan2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3911 */

/* BEGIN FUNCTION-DECL-EXTERN nexttowardf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=3608 */
#line 297
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) nexttowardf)(float __x ,
                                                                                    long double __y ) ;
/* END FUNCTION-DECL-EXTERN nexttowardf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=3608 */

/* BEGIN FUNCTION-DECL-EXTERN __asin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=2472 */
#line 55
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __asin)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __asin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=2472 */

/* BEGIN TYPEDEF __fsfilcnt64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:189 */
#line 189 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __fsfilcnt64_t;
/* END TYPEDEF __fsfilcnt64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:189 */

/* BEGIN FUNCTION-DECL-EXTERN fwrite LOC=/usr/include/stdio.h:735 VKEY=2331 */
#line 735 "/usr/include/stdio.h"
extern size_t ( __attribute__((__nonnull__(4))) fwrite)(void const   * __restrict  __ptr ,
                                                        size_t __size , size_t __n ,
                                                        FILE * __restrict  __s ) ;
/* END FUNCTION-DECL-EXTERN fwrite LOC=/usr/include/stdio.h:735 VKEY=2331 */

/* BEGIN FUNCTION-DECL-EXTERN __finite LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=2449 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __finite)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __finite LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=2449 */

/* BEGIN FUNCTION-DECL-EXTERN __nearbyint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=2959 */
#line 330 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __nearbyint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __nearbyint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=2959 */

/* BEGIN FUNCTION-DECL-EXTERN mempcpy LOC=/usr/include/string.h:400 VKEY=1822 */
#line 400 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1,2), __leaf__)) mempcpy)(void * __restrict  __dest ,
                                                                                                  void const   * __restrict  __src ,
                                                                                                  size_t __n ) ;
/* END FUNCTION-DECL-EXTERN mempcpy LOC=/usr/include/string.h:400 VKEY=1822 */

/* BEGIN FUNCTION-DECL-EXTERN __ctype_toupper_loc LOC=/usr/include/ctype.h:83 VKEY=4705 */
#line 83 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) __int32_t const   **( __attribute__((__leaf__)) __ctype_toupper_loc)(void)  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __ctype_toupper_loc LOC=/usr/include/ctype.h:83 VKEY=4705 */

/* BEGIN FUNCTION-DECL-EXTERN round LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:334 VKEY=2962 */
#line 334 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) round)(double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN round LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:334 VKEY=2962 */

/* BEGIN FUNCTION-DECL-EXTERN malloc LOC=/usr/include/stdlib.h:672 VKEY=1306 */
#line 672 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__leaf__)) malloc)(size_t __size )  __attribute__((__malloc__,
__alloc_size__(1))) ;
/* END FUNCTION-DECL-EXTERN malloc LOC=/usr/include/stdlib.h:672 VKEY=1306 */

/* BEGIN FUNCTION-DECL-EXTERN _Exit LOC=/usr/include/stdlib.h:768 VKEY=1382 */
#line 768
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) _Exit)(int __status ) ;
/* END FUNCTION-DECL-EXTERN _Exit LOC=/usr/include/stdlib.h:768 VKEY=1382 */

/* BEGIN TYPEDEF uint16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:25 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h"
typedef __uint16_t uint16_t;
/* END TYPEDEF uint16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:25 */

/* BEGIN FUNCTION-DECL-EXTERN arc4random_buf LOC=/usr/include/stdlib.h:661 VKEY=1300 */
#line 661 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) arc4random_buf)(void *__buf ,
                                                                                                      size_t __size ) ;
/* END FUNCTION-DECL-EXTERN arc4random_buf LOC=/usr/include/stdlib.h:661 VKEY=1300 */

/* BEGIN FUNCTION-DECL-EXTERN __iseqsigf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=3171 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __iseqsigf)(float __x ,
                                                                                 float __y ) ;
/* END FUNCTION-DECL-EXTERN __iseqsigf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=3171 */

/* BEGIN TYPEDEF u_char LOC=/usr/include/x86_64-linux-gnu/sys/types.h:33 */
#line 33 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __u_char u_char;
/* END TYPEDEF u_char LOC=/usr/include/x86_64-linux-gnu/sys/types.h:33 */

/* BEGIN STRUCT __pthread_internal_slist LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:57 20 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __pthread_internal_slist {
   struct __pthread_internal_slist *__next ;
};
/* END STRUCT __pthread_internal_slist LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:57 20 */

/* BEGIN FUNCTION-DECL-EXTERN fromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3047 */
#line 382 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) fromfp)(double __x ,
                                                                                    int __round ,
                                                                                    unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN fromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3047 */

/* BEGIN FUNCTION-DECL-EXTERN __nextdownl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=4333 */
#line 302
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __nextdownl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __nextdownl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=4333 */

/* BEGIN FUNCTION-DECL-EXTERN __nextupl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=4339 */
#line 304
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __nextupl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __nextupl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=4339 */

/* BEGIN FUNCTION-DECL-EXTERN lround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=2994 */
#line 356
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lround)(double __x ) ;
/* END FUNCTION-DECL-EXTERN lround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=2994 */

/* BEGIN FUNCTION-DECL-EXTERN fcvt_r LOC=/usr/include/stdlib.h:1045 VKEY=1545 */
#line 1045 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3,4,5), __leaf__)) fcvt_r)(double __value ,
                                                                                                 int __ndigit ,
                                                                                                 int * __restrict  __decpt ,
                                                                                                 int * __restrict  __sign ,
                                                                                                 char * __restrict  __buf ,
                                                                                                 size_t __len ) ;
/* END FUNCTION-DECL-EXTERN fcvt_r LOC=/usr/include/stdlib.h:1045 VKEY=1545 */

/* BEGIN FUNCTION-DECL-EXTERN mktemp LOC=/usr/include/stdlib.h:814 VKEY=1404 */
#line 814
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) mktemp)(char *__template ) ;
/* END FUNCTION-DECL-EXTERN mktemp LOC=/usr/include/stdlib.h:814 VKEY=1404 */

/* BEGIN FUNCTION-DECL-EXTERN __issignalingl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=3888 */
#line 44 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __issignalingl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __issignalingl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=3888 */

/* BEGIN FUNCTION-DECL-EXTERN __significandl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=4203 */
#line 224 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __significandl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __significandl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=4203 */

/* BEGIN FUNCTION-DECL-EXTERN strfromf LOC=/usr/include/stdlib.h:282 VKEY=1105 */
#line 282 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3), __leaf__)) strfromf)(char *__dest ,
                                                                                               size_t __size ,
                                                                                               char const   *__format ,
                                                                                               float __f ) ;
/* END FUNCTION-DECL-EXTERN strfromf LOC=/usr/include/stdlib.h:282 VKEY=1105 */

/* BEGIN FUNCTION-DECL-EXTERN __log2p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=3374 */
#line 141 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __log2p1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __log2p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=3374 */

/* BEGIN FUNCTION-DECL-EXTERN lrand48_r LOC=/usr/include/stdlib.h:628 VKEY=1258 */
#line 628 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) lrand48_r)(struct drand48_data * __restrict  __buffer ,
                                                                                                  long * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN lrand48_r LOC=/usr/include/stdlib.h:628 VKEY=1258 */

/* BEGIN FUNCTION-DECL-EXTERN vdprintf LOC=/usr/include/stdio.h:410 VKEY=2147 */
#line 410 "/usr/include/stdio.h"
extern int ( /* format attribute */  vdprintf)(int __fd , char const   * __restrict  __fmt ,
                                               __gnuc_va_list __arg ) ;
/* END FUNCTION-DECL-EXTERN vdprintf LOC=/usr/include/stdio.h:410 VKEY=2147 */

/* BEGIN TYPEDEF __ino64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:149 */
#line 149 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __ino64_t;
/* END TYPEDEF __ino64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:149 */

/* BEGIN FUNCTION-DECL-EXTERN __sinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3278 */
#line 91 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __sinhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __sinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3278 */

/* BEGIN TYPEDEF daddr_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:114 */
#line 114 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __daddr_t daddr_t;
/* END TYPEDEF daddr_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:114 */

/* BEGIN FUNCTION-DECL-EXTERN __sqrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=3432 */
#line 176 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __sqrtf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __sqrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=3432 */

/* BEGIN FUNCTION-DECL-EXTERN __sinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3992 */
#line 91
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __sinhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __sinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3992 */

/* BEGIN VARIABLE-DECL _TIG_IZ_Gv2W_argv LOC=UNKNOWN VKEY=4883 */
char **_TIG_IZ_Gv2W_argv ;
/* END VARIABLE-DECL _TIG_IZ_Gv2W_argv LOC=UNKNOWN VKEY=4883 */

/* BEGIN FUNCTION-DECL-EXTERN logf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=3331 */
#line 122
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) logf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN logf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=3331 */

/* BEGIN FUNCTION-DECL-EXTERN __lgammal_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=4301 */
#line 285
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __lgammal_r)(long double  ,
                                                                                          int *__signgamp ) ;
/* END FUNCTION-DECL-EXTERN __lgammal_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=4301 */

/* BEGIN FUNCTION-DECL-EXTERN truncl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:338 VKEY=4393 */
#line 338
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) truncl)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN truncl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:338 VKEY=4393 */

/* BEGIN FUNCTION-DECL-EXTERN mrand48_r LOC=/usr/include/stdlib.h:637 VKEY=1270 */
#line 637 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) mrand48_r)(struct drand48_data * __restrict  __buffer ,
                                                                                                  long * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN mrand48_r LOC=/usr/include/stdlib.h:637 VKEY=1270 */

/* BEGIN FUNCTION-DECL-EXTERN __scalbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3865 */
#line 468 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __scalbf)(float __x ,
                                                                                 float __n ) ;
/* END FUNCTION-DECL-EXTERN __scalbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3865 */

/* BEGIN FUNCTION-DECL-EXTERN clearenv LOC=/usr/include/stdlib.h:803 VKEY=1401 */
#line 803 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) clearenv)(void) ;
/* END FUNCTION-DECL-EXTERN clearenv LOC=/usr/include/stdlib.h:803 VKEY=1401 */

/* BEGIN UNION-DECL __anonunion_pthread_barrier_t_145707746 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:108 CKEY=32 */
#line 108 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_barrier_t_145707746 ;
/* END UNION-DECL __anonunion_pthread_barrier_t_145707746 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:108 CKEY=32 */

/* BEGIN FUNCTION-DECL-EXTERN logp1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=3383 */
#line 147 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) logp1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN logp1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=3383 */

/* BEGIN FUNCTION-DECL-EXTERN strchr LOC=/usr/include/string.h:246 VKEY=1745 */
#line 246 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) strchr)(char const   *__s ,
                                                                                               int __c )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strchr LOC=/usr/include/string.h:246 VKEY=1745 */

/* BEGIN STRUCT _IO_cookie_io_functions_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:55 46 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
struct _IO_cookie_io_functions_t {
   cookie_read_function_t *read ;
   cookie_write_function_t *write ;
   cookie_seek_function_t *seek ;
   cookie_close_function_t *close ;
};
/* END STRUCT _IO_cookie_io_functions_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:55 46 */

/* BEGIN TYPEDEF uint64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:27 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h"
typedef __uint64_t uint64_t;
/* END TYPEDEF uint64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:27 */

/* BEGIN TYPEDEF u_int64_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:161 */
#line 161 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __uint64_t u_int64_t;
/* END TYPEDEF u_int64_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:161 */

/* BEGIN TYPEDEF pthread_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:27 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef unsigned long pthread_t;
/* END TYPEDEF pthread_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:27 */

/* BEGIN FUNCTION-DECL-EXTERN isupper_l LOC=/usr/include/ctype.h:260 VKEY=4809 */
#line 260 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isupper_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isupper_l LOC=/usr/include/ctype.h:260 VKEY=4809 */

/* BEGIN FUNCTION-DECL-EXTERN __logp1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=4100 */
#line 147 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __logp1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __logp1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=4100 */

/* BEGIN FUNCTION-DECL-EXTERN __tanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3934 */
#line 66
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __tanl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __tanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3934 */

/* BEGIN FUNCTION-DECL-EXTERN __exp10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=3356 */
#line 132
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __exp10f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __exp10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=3356 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_magl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:430 VKEY=4554 */
#line 430
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmaximum_magl)(long double __x ,
                                                                                            long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_magl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:430 VKEY=4554 */

/* BEGIN FUNCTION-DECL-EXTERN __atan2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=2488 */
#line 59
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __atan2)(double __y ,
                                                                                 double __x ) ;
/* END FUNCTION-DECL-EXTERN __atan2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=2488 */

/* BEGIN FUNCTION-DECL-EXTERN getchar LOC=/usr/include/stdio.h:582 VKEY=2225 */
#line 582 "/usr/include/stdio.h"
extern int getchar(void) ;
/* END FUNCTION-DECL-EXTERN getchar LOC=/usr/include/stdio.h:582 VKEY=2225 */

/* BEGIN FUNCTION-DECL-EXTERN nextup LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=2908 */
#line 304 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) nextup)(double __x ) ;
/* END FUNCTION-DECL-EXTERN nextup LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=2908 */

/* BEGIN FUNCTION-DECL-EXTERN fileno LOC=/usr/include/stdio.h:873 VKEY=2406 */
#line 873 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) fileno)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fileno LOC=/usr/include/stdio.h:873 VKEY=2406 */

/* BEGIN FUNCTION-DECL-EXTERN logbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=4115 */
#line 158 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) logbl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN logbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=4115 */

/* BEGIN FUNCTION-DECL-EXTERN asprintf LOC=/usr/include/stdio.h:403 VKEY=2140 */
#line 403 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( /* format attribute */  asprintf)(char ** __restrict  __ptr ,
                                                                             char const   * __restrict  __fmt 
                                                                             , ...) ;
/* END FUNCTION-DECL-EXTERN asprintf LOC=/usr/include/stdio.h:403 VKEY=2140 */

/* BEGIN FUNCTION-DECL-EXTERN strlcpy LOC=/usr/include/string.h:506 VKEY=1955 */
#line 506 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(1,2), __leaf__)) strlcpy)(char * __restrict  __dest ,
                                                                                                   char const   * __restrict  __src ,
                                                                                                   size_t __n )  __attribute__((__access__(__write_only__,1,3))) ;
/* END FUNCTION-DECL-EXTERN strlcpy LOC=/usr/include/string.h:506 VKEY=1955 */

/* BEGIN FUNCTION-DECL-EXTERN jrand48_r LOC=/usr/include/stdlib.h:640 VKEY=1277 */
#line 640 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) jrand48_r)(unsigned short *__xsubi ,
                                                                                                  struct drand48_data * __restrict  __buffer ,
                                                                                                  long * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN jrand48_r LOC=/usr/include/stdlib.h:640 VKEY=1277 */

/* BEGIN TYPEDEF __thrd_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:107 */
#line 107 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
typedef unsigned long __thrd_t;
/* END TYPEDEF __thrd_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:107 */

/* BEGIN FUNCTION-DECL-EXTERN fromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=4475 */
#line 382 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) fromfpl)(long double __x ,
                                                                                     int __round ,
                                                                                     unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN fromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=4475 */

/* BEGIN VARIABLE-DEF _TIG_IZ_Gv2W_argc LOC=UNKNOWN VKEY=4881 */
int _TIG_IZ_Gv2W_argc  ;
/* END VARIABLE-DEF _TIG_IZ_Gv2W_argc LOC=UNKNOWN VKEY=4881 */

/* BEGIN FUNCTION-DECL-EXTERN cospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=2537 */
#line 79
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) cospi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN cospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=2537 */

/* BEGIN VARIABLE-DEF _TIG_IZ_Gv2W_envp LOC=UNKNOWN VKEY=4885 */
char **_TIG_IZ_Gv2W_envp  ;
/* END VARIABLE-DEF _TIG_IZ_Gv2W_envp LOC=UNKNOWN VKEY=4885 */

/* BEGIN FUNCTION-DECL-EXTERN sprintf LOC=/usr/include/stdio.h:365 VKEY=2088 */
#line 365 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int sprintf(char * __restrict  __s , char const   * __restrict  __format 
                                                 , ...) ;
/* END FUNCTION-DECL-EXTERN sprintf LOC=/usr/include/stdio.h:365 VKEY=2088 */

/* BEGIN FUNCTION-DECL-EXTERN ecvt_r LOC=/usr/include/stdlib.h:1042 VKEY=1532 */
#line 1042 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3,4,5), __leaf__)) ecvt_r)(double __value ,
                                                                                                 int __ndigit ,
                                                                                                 int * __restrict  __decpt ,
                                                                                                 int * __restrict  __sign ,
                                                                                                 char * __restrict  __buf ,
                                                                                                 size_t __len ) ;
/* END FUNCTION-DECL-EXTERN ecvt_r LOC=/usr/include/stdlib.h:1042 VKEY=1532 */

/* BEGIN FUNCTION-DECL-EXTERN ilogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=4362 */
#line 316 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ilogbl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN ilogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=4362 */

/* BEGIN FUNCTION-DECL-EXTERN cospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3251 */
#line 79
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) cospif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN cospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3251 */

/* BEGIN TYPEDEF dev_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:59 */
#line 59 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __dev_t dev_t;
/* END TYPEDEF dev_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:59 */

/* BEGIN FUNCTION-DECL-EXTERN bcopy LOC=/usr/include/strings.h:38 VKEY=1859 */
#line 38 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1,2), __leaf__)) bcopy)(void const   *__src ,
                                                                                               void *__dest ,
                                                                                               size_t __n ) ;
/* END FUNCTION-DECL-EXTERN bcopy LOC=/usr/include/strings.h:38 VKEY=1859 */

/* BEGIN TYPEDEF uid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:79 */
#line 79 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __uid_t uid_t;
/* END TYPEDEF uid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:79 */

/* BEGIN FUNCTION-DECL-EXTERN fsqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:36 VKEY=4657 */
#line 36 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fsqrtl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN fsqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:36 VKEY=4657 */

/* BEGIN FUNCTION-DECL-EXTERN ispunct LOC=/usr/include/ctype.h:115 VKEY=4729 */
#line 115 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ispunct)(int  ) ;
/* END FUNCTION-DECL-EXTERN ispunct LOC=/usr/include/ctype.h:115 VKEY=4729 */

/* BEGIN FUNCTION-DECL-EXTERN nearbyintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=3670 */
#line 330 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) nearbyintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN nearbyintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=3670 */

/* BEGIN FUNCTION-DECL-EXTERN sscanf LOC=/usr/include/stdio.h:430 VKEY=2165 */
#line 430 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) sscanf)(char const   * __restrict  __s ,
                                                                             char const   * __restrict  __format 
                                                                             , ...)  __asm__("__isoc23_sscanf")  ;
/* END FUNCTION-DECL-EXTERN sscanf LOC=/usr/include/stdio.h:430 VKEY=2165 */

/* BEGIN FUNCTION-DECL-EXTERN fmod LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=2748 */
#line 201 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmod)(double __x ,
                                                                              double __y ) ;
/* END FUNCTION-DECL-EXTERN fmod LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=2748 */

/* BEGIN FUNCTION-DECL-EXTERN lgammaf_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=3582 */
#line 285
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) lgammaf_r)(float  ,
                                                                                  int *__signgamp ) ;
/* END FUNCTION-DECL-EXTERN lgammaf_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=3582 */

/* BEGIN FUNCTION-DECL-EXTERN isalpha_l LOC=/usr/include/ctype.h:252 VKEY=4769 */
#line 252 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isalpha_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isalpha_l LOC=/usr/include/ctype.h:252 VKEY=4769 */

/* BEGIN FUNCTION-DECL-EXTERN __expm1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=2678 */
#line 152 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __expm1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __expm1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=2678 */

/* BEGIN FUNCTION-DECL-EXTERN __fdiml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=4441 */
#line 362
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __fdiml)(long double __x ,
                                                                                      long double __y ) ;
/* END FUNCTION-DECL-EXTERN __fdiml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=4441 */

/* BEGIN FUNCTION-DECL-EXTERN getchar_unlocked LOC=/usr/include/stdio.h:590 VKEY=2231 */
#line 590 "/usr/include/stdio.h"
extern int getchar_unlocked(void) ;
/* END FUNCTION-DECL-EXTERN getchar_unlocked LOC=/usr/include/stdio.h:590 VKEY=2231 */

/* BEGIN FUNCTION-DECL-EXTERN ffs LOC=/usr/include/strings.h:104 VKEY=1877 */
#line 104 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ffs)(int __i )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ffs LOC=/usr/include/strings.h:104 VKEY=1877 */

/* BEGIN FUNCTION-DECL-EXTERN random_r LOC=/usr/include/stdlib.h:554 VKEY=1186 */
#line 554 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) random_r)(struct random_data * __restrict  __buf ,
                                                                                                 int32_t * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN random_r LOC=/usr/include/stdlib.h:554 VKEY=1186 */

/* BEGIN FUNCTION-DECL-EXTERN __toupper_l LOC=/usr/include/ctype.h:271 VKEY=4834 */
#line 271 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __toupper_l)(int __c ,
                                                                                  locale_t __l ) ;
/* END FUNCTION-DECL-EXTERN __toupper_l LOC=/usr/include/ctype.h:271 VKEY=4834 */

/* BEGIN FUNCTION-DECL-EXTERN tanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3217 */
#line 66 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) tanf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN tanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3217 */

/* BEGIN FUNCTION-DECL-EXTERN __j0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=2795 */
#line 253
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __j0)(double  ) ;
/* END FUNCTION-DECL-EXTERN __j0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=2795 */

/* BEGIN FUNCTION-DECL-EXTERN __signbitl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=3871 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __signbitl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __signbitl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=3871 */

/* BEGIN FUNCTION-DECL __uint32_identity LOC=UNKNOWN VKEY=1136 */
__inline static __uint32_t __uint32_identity(__uint32_t __x ) ;
/* END FUNCTION-DECL __uint32_identity LOC=UNKNOWN VKEY=1136 */

/* BEGIN TYPEDEF off_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:85 */
#line 85 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __off_t off_t;
/* END TYPEDEF off_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:85 */

/* BEGIN FUNCTION-DECL-EXTERN erfcl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=4270 */
#line 265 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) erfcl)(long double  ) ;
/* END FUNCTION-DECL-EXTERN erfcl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=4270 */

/* BEGIN STRUCT-DECL __locale_data LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:27 37 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h"
struct __locale_data ;
/* END STRUCT-DECL __locale_data LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:27 37 */

/* BEGIN STRUCT-DECL _IO_wide_data LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:39 45 */
#line 39 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h"
struct _IO_wide_data ;
/* END STRUCT-DECL _IO_wide_data LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:39 45 */

/* BEGIN TYPEDEF gid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:64 */
#line 64 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __gid_t gid_t;
/* END TYPEDEF gid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:64 */

/* BEGIN FUNCTION-DECL-EXTERN dreml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=4192 */
#line 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) dreml)(long double __x ,
                                                                                    long double __y ) ;
/* END FUNCTION-DECL-EXTERN dreml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=4192 */

/* BEGIN FUNCTION-DECL-EXTERN __logb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=2690 */
#line 158
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __logb)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __logb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=2690 */

/* BEGIN FUNCTION-DECL-EXTERN tanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3931 */
#line 66
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) tanl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN tanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3931 */

/* BEGIN FUNCTION-DECL-EXTERN __issignaling LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=2460 */
#line 44 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __issignaling)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __issignaling LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=2460 */

/* BEGIN FUNCTION-DECL-EXTERN strsignal LOC=/usr/include/string.h:478 VKEY=1924 */
#line 478 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) strsignal)(int __sig ) ;
/* END FUNCTION-DECL-EXTERN strsignal LOC=/usr/include/string.h:478 VKEY=1924 */

/* BEGIN FUNCTION-DECL-EXTERN copysign LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:231 VKEY=2780 */
#line 231 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) copysign)(double __x ,
                                                                                  double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN copysign LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:231 VKEY=2780 */

/* BEGIN FUNCTION-DECL-EXTERN roundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:334 VKEY=4390 */
#line 334
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) roundl)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN roundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:334 VKEY=4390 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:421 VKEY=3111 */
#line 421
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fminimum)(double __x ,
                                                                                  double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:421 VKEY=3111 */

/* BEGIN VARIABLE-DECL-EXTERN stderr LOC=/usr/include/stdio.h:151 VKEY=1975 */
#line 151 "/usr/include/stdio.h"
extern FILE *stderr ;
/* END VARIABLE-DECL-EXTERN stderr LOC=/usr/include/stdio.h:151 VKEY=1975 */

/* BEGIN FUNCTION-DECL-EXTERN logb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=2687 */
#line 158 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) logb)(double __x ) ;
/* END FUNCTION-DECL-EXTERN logb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=2687 */

/* BEGIN FUNCTION-DECL-EXTERN __exp10m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=4082 */
#line 138
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __exp10m1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp10m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=4082 */

/* BEGIN FUNCTION-DECL-EXTERN strerror LOC=/usr/include/string.h:419 VKEY=1833 */
#line 419 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) strerror)(int __errnum ) ;
/* END FUNCTION-DECL-EXTERN strerror LOC=/usr/include/string.h:419 VKEY=1833 */

/* BEGIN FUNCTION-DECL-EXTERN isupper LOC=/usr/include/ctype.h:117 VKEY=4735 */
#line 117 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isupper)(int  ) ;
/* END FUNCTION-DECL-EXTERN isupper LOC=/usr/include/ctype.h:117 VKEY=4735 */

/* BEGIN FUNCTION-DECL-EXTERN __atanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=3302 */
#line 107 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __atanhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __atanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=3302 */

/* BEGIN FUNCTION-DECL-EXTERN fminimumf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:421 VKEY=3825 */
#line 421
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fminimumf)(float __x ,
                                                                                  float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimumf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:421 VKEY=3825 */

/* BEGIN FUNCTION-DECL-EXTERN getc_unlocked LOC=/usr/include/stdio.h:589 VKEY=2228 */
#line 589 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) getc_unlocked)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN getc_unlocked LOC=/usr/include/stdio.h:589 VKEY=2228 */

/* BEGIN FUNCTION-DECL-EXTERN strlcat LOC=/usr/include/string.h:512 VKEY=1962 */
#line 512 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(1,2), __leaf__)) strlcat)(char * __restrict  __dest ,
                                                                                                   char const   * __restrict  __src ,
                                                                                                   size_t __n )  __attribute__((__access__(__read_write__,1,3))) ;
/* END FUNCTION-DECL-EXTERN strlcat LOC=/usr/include/string.h:512 VKEY=1962 */

/* BEGIN FUNCTION-DECL-EXTERN __tanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3980 */
#line 83 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __tanpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __tanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3980 */

/* BEGIN FUNCTION-DECL-EXTERN j0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=4220 */
#line 253
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) j0l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN j0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=4220 */

/* BEGIN FUNCTION-DECL-EXTERN powl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=4135 */
#line 173
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) powl)(long double __x ,
                                                                                   long double __y ) ;
/* END FUNCTION-DECL-EXTERN powl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=4135 */

/* BEGIN FUNCTION-DECL-EXTERN tgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=2854 */
#line 271
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) tgamma)(double  ) ;
/* END FUNCTION-DECL-EXTERN tgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=2854 */

/* BEGIN STRUCT-DECL __locale_struct LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:27 36 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h"
struct __locale_struct ;
/* END STRUCT-DECL __locale_struct LOC=/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h:27 36 */

/* BEGIN FUNCTION-DECL-EXTERN islower LOC=/usr/include/ctype.h:112 VKEY=4720 */
#line 112 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) islower)(int  ) ;
/* END FUNCTION-DECL-EXTERN islower LOC=/usr/include/ctype.h:112 VKEY=4720 */

/* BEGIN UNION __anonunion_pthread_cond_t_951761805 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:75 CKEY=29 */
#line 75 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_cond_t_951761805 {
   struct __pthread_cond_s __data ;
   char __size[48] ;
   long long __align ;
};
/* END UNION __anonunion_pthread_cond_t_951761805 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:75 CKEY=29 */

/* BEGIN FUNCTION-DECL-EXTERN ynf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=3542 */
#line 258 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) ynf)(int  ,
                                                                            float  ) ;
/* END FUNCTION-DECL-EXTERN ynf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=3542 */

/* BEGIN FUNCTION-DECL-EXTERN log10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=2623 */
#line 125
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) log10)(double __x ) ;
/* END FUNCTION-DECL-EXTERN log10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=2623 */

/* BEGIN FUNCTION-DECL-EXTERN fmemopen LOC=/usr/include/stdio.h:314 VKEY=2046 */
#line 314 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) FILE *( __attribute__((__leaf__)) fmemopen)(void *__s ,
                                                                                 size_t __len ,
                                                                                 char const   *__modes )  __attribute__((__malloc__(fclose,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN fmemopen LOC=/usr/include/stdio.h:314 VKEY=2046 */

/* BEGIN FUNCTION-DECL-EXTERN __remainderf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=3635 */
#line 308 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __remainderf)(float __x ,
                                                                                     float __y ) ;
/* END FUNCTION-DECL-EXTERN __remainderf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=3635 */

/* BEGIN FUNCTION-DECL-EXTERN atan2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=2483 */
#line 59
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) atan2)(double __y ,
                                                                               double __x ) ;
/* END FUNCTION-DECL-EXTERN atan2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=2483 */

/* BEGIN FUNCTION-DECL-EXTERN strtoull LOC=/usr/include/stdlib.h:206 VKEY=1045 */
#line 206 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) unsigned long long ( __attribute__((__nonnull__(1),
__leaf__)) strtoull)(char const   * __restrict  __nptr , char ** __restrict  __endptr ,
                     int __base )  __asm__("__isoc23_strtoull")  ;
/* END FUNCTION-DECL-EXTERN strtoull LOC=/usr/include/stdlib.h:206 VKEY=1045 */

/* BEGIN FUNCTION-DECL-EXTERN fseek LOC=/usr/include/stdio.h:769 VKEY=2356 */
#line 769 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fseek)(FILE *__stream , long __off ,
                                                    int __whence ) ;
/* END FUNCTION-DECL-EXTERN fseek LOC=/usr/include/stdio.h:769 VKEY=2356 */

/* BEGIN STRUCT __anonstruct_div_t_773697287 LOC=/usr/include/stdlib.h:59 9 */
#line 59 "/usr/include/stdlib.h"
struct __anonstruct_div_t_773697287 {
   int quot ;
   int rem ;
};
/* END STRUCT __anonstruct_div_t_773697287 LOC=/usr/include/stdlib.h:59 9 */

/* BEGIN FUNCTION-DECL-EXTERN __ufromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3810 */
#line 399 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) __ufromfpxf)(float __x ,
                                                                                          int __round ,
                                                                                          unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __ufromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3810 */

/* BEGIN FUNCTION-DECL-EXTERN popen LOC=/usr/include/stdio.h:893 VKEY=2417 */
#line 893 "/usr/include/stdio.h"
extern FILE *popen(char const   *__command , char const   *__modes )  __attribute__((__malloc__(pclose,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN popen LOC=/usr/include/stdio.h:893 VKEY=2417 */

/* BEGIN FUNCTION-DECL-EXTERN atoll LOC=/usr/include/stdlib.h:113 VKEY=988 */
#line 113 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__nonnull__(1), __leaf__)) atoll)(char const   *__nptr )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN atoll LOC=/usr/include/stdlib.h:113 VKEY=988 */

/* BEGIN FUNCTION-DECL-EXTERN ecvt LOC=/usr/include/stdlib.h:1012 VKEY=1478 */
#line 1012
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(3,4), __leaf__)) ecvt)(double __value ,
                                                                                               int __ndigit ,
                                                                                               int * __restrict  __decpt ,
                                                                                               int * __restrict  __sign ) ;
/* END FUNCTION-DECL-EXTERN ecvt LOC=/usr/include/stdlib.h:1012 VKEY=1478 */

/* BEGIN FUNCTION-DECL-EXTERN isblank_l LOC=/usr/include/ctype.h:263 VKEY=4819 */
#line 263 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isblank_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isblank_l LOC=/usr/include/ctype.h:263 VKEY=4819 */

/* BEGIN FUNCTION-DECL-EXTERN memcpy LOC=/usr/include/string.h:43 VKEY=1624 */
#line 43 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1,2), __leaf__)) memcpy)(void * __restrict  __dest ,
                                                                                                 void const   * __restrict  __src ,
                                                                                                 size_t __n ) ;
/* END FUNCTION-DECL-EXTERN memcpy LOC=/usr/include/string.h:43 VKEY=1624 */

/* BEGIN FUNCTION-DECL-EXTERN fputc LOC=/usr/include/stdio.h:611 VKEY=2239 */
#line 611 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(2))) fputc)(int __c , FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fputc LOC=/usr/include/stdio.h:611 VKEY=2239 */

/* BEGIN FUNCTION-DECL-EXTERN ferror LOC=/usr/include/stdio.h:854 VKEY=2391 */
#line 854
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) ferror)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN ferror LOC=/usr/include/stdio.h:854 VKEY=2391 */

/* BEGIN FUNCTION-DECL-EXTERN isinff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:210 VKEY=3470 */
#line 210 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isinff)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN isinff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:210 VKEY=3470 */

/* BEGIN FUNCTION-DECL-EXTERN significandf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=3486 */
#line 224
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) significandf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN significandf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=3486 */

/* BEGIN FUNCTION-DECL-EXTERN powf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=3421 */
#line 173
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) powf)(float __x ,
                                                                             float __y ) ;
/* END FUNCTION-DECL-EXTERN powf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=3421 */

/* BEGIN FUNCTION-DECL-EXTERN fdopen LOC=/usr/include/stdio.h:299 VKEY=2032 */
#line 299 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) FILE *( __attribute__((__leaf__)) fdopen)(int __fd ,
                                                                               char const   *__modes )  __attribute__((__malloc__(fclose,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN fdopen LOC=/usr/include/stdio.h:299 VKEY=2032 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_mag_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:439 VKEY=4569 */
#line 439 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fminimum_mag_numl)(long double __x ,
                                                                                                long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_mag_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:439 VKEY=4569 */

/* BEGIN FUNCTION-DECL-EXTERN nexttoward LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=2894 */
#line 297
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) nexttoward)(double __x ,
                                                                                    long double __y ) ;
/* END FUNCTION-DECL-EXTERN nexttoward LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=2894 */

/* BEGIN FUNCTION-DECL-EXTERN exp10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=4067 */
#line 132
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) exp10l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN exp10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=4067 */

/* BEGIN FUNCTION-DECL-EXTERN wctomb LOC=/usr/include/stdlib.h:1069 VKEY=1588 */
#line 1069 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) wctomb)(char *__s ,
                                                                             wchar_t __wchar ) ;
/* END FUNCTION-DECL-EXTERN wctomb LOC=/usr/include/stdlib.h:1069 VKEY=1588 */

/* BEGIN FUNCTION-DECL-EXTERN setbuffer LOC=/usr/include/stdio.h:345 VKEY=2072 */
#line 345 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) setbuffer)(FILE * __restrict  __stream ,
                                                                                                 char * __restrict  __buf ,
                                                                                                 size_t __size ) ;
/* END FUNCTION-DECL-EXTERN setbuffer LOC=/usr/include/stdio.h:345 VKEY=2072 */

/* BEGIN FUNCTION-DECL-EXTERN strncmp LOC=/usr/include/string.h:159 VKEY=1704 */
#line 159 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) strncmp)(char const   *__s1 ,
                                                                                                char const   *__s2 ,
                                                                                                size_t __n )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strncmp LOC=/usr/include/string.h:159 VKEY=1704 */

/* BEGIN FUNCTION-DECL-EXTERN ftell LOC=/usr/include/stdio.h:775 VKEY=2359 */
#line 775 "/usr/include/stdio.h"
extern long ( __attribute__((__nonnull__(1))) ftell)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN ftell LOC=/usr/include/stdio.h:775 VKEY=2359 */

/* BEGIN UNION-DECL __anonunion_pthread_mutexattr_t_488594144 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:32 CKEY=25 */
#line 32 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_mutexattr_t_488594144 ;
/* END UNION-DECL __anonunion_pthread_mutexattr_t_488594144 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:32 CKEY=25 */

/* BEGIN FUNCTION-DECL-EXTERN __nan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=2786 */
#line 236 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __nan)(char const   *__tagb ) ;
/* END FUNCTION-DECL-EXTERN __nan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=2786 */

/* BEGIN FUNCTION-DECL-EXTERN __erfcl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=4273 */
#line 265
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __erfcl)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __erfcl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=4273 */

/* BEGIN FUNCTION-DECL-EXTERN __asinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=2518 */
#line 72
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __asinpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __asinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=2518 */

/* BEGIN UNION __anonunion_pthread_barrier_t_145707746 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:108 CKEY=32 */
#line 108 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_barrier_t_145707746 {
   char __size[32] ;
   long __align ;
};
/* END UNION __anonunion_pthread_barrier_t_145707746 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:108 CKEY=32 */

/* BEGIN STRUCT-DECL __pthread_mutex_s LOC=/usr/include/x86_64-linux-gnu/bits/struct_mutex.h:22 21 */
#line 22 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h"
struct __pthread_mutex_s ;
/* END STRUCT-DECL __pthread_mutex_s LOC=/usr/include/x86_64-linux-gnu/bits/struct_mutex.h:22 21 */

/* BEGIN FUNCTION-DECL-EXTERN __llogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=3657 */
#line 321 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __llogbf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __llogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=3657 */

/* BEGIN UNION __anonunion_pthread_rwlock_t_656928968 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:86 CKEY=30 */
#line 86 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_rwlock_t_656928968 {
   struct __pthread_rwlock_arch_t __data ;
   char __size[56] ;
   long __align ;
};
/* END UNION __anonunion_pthread_rwlock_t_656928968 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:86 CKEY=30 */

/* BEGIN FUNCTION-DECL-EXTERN __ldexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=3328 */
#line 119 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __ldexpf)(float __x ,
                                                                                 int __exponent ) ;
/* END FUNCTION-DECL-EXTERN __ldexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=3328 */

/* BEGIN FUNCTION-DECL-EXTERN fmaxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:366 VKEY=3732 */
#line 366
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmaxf)(float __x ,
                                                                              float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:366 VKEY=3732 */

/* BEGIN FUNCTION-DECL-EXTERN scalbnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=3640 */
#line 312
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) scalbnf)(float __x ,
                                                                                int __n ) ;
/* END FUNCTION-DECL-EXTERN scalbnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=3640 */

/* BEGIN FUNCTION-DECL-EXTERN __y0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=2817 */
#line 256
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __y0)(double  ) ;
/* END FUNCTION-DECL-EXTERN __y0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=2817 */

/* BEGIN FUNCTION-DECL-EXTERN lroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=4422 */
#line 356
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lroundl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN lroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=4422 */

/* BEGIN FUNCTION-DECL-EXTERN __atanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3952 */
#line 74
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __atanpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __atanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3952 */

/* BEGIN FUNCTION-DECL-EXTERN qecvt LOC=/usr/include/stdlib.h:1030 VKEY=1503 */
#line 1030 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(3,4), __leaf__)) qecvt)(long double __value ,
                                                                                                int __ndigit ,
                                                                                                int * __restrict  __decpt ,
                                                                                                int * __restrict  __sign ) ;
/* END FUNCTION-DECL-EXTERN qecvt LOC=/usr/include/stdlib.h:1030 VKEY=1503 */

/* BEGIN FUNCTION-DECL-EXTERN asin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=2469 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) asin)(double __x ) ;
/* END FUNCTION-DECL-EXTERN asin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=2469 */

/* BEGIN FUNCTION-DECL-EXTERN strchrnul LOC=/usr/include/string.h:286 VKEY=1755 */
#line 286 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) strchrnul)(char const   *__s ,
                                                                                                  int __c )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strchrnul LOC=/usr/include/string.h:286 VKEY=1755 */

/* BEGIN FUNCTION-DECL-EXTERN qfcvt_r LOC=/usr/include/stdlib.h:1053 VKEY=1571 */
#line 1053 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3,4,5), __leaf__)) qfcvt_r)(long double __value ,
                                                                                                  int __ndigit ,
                                                                                                  int * __restrict  __decpt ,
                                                                                                  int * __restrict  __sign ,
                                                                                                  char * __restrict  __buf ,
                                                                                                  size_t __len ) ;
/* END FUNCTION-DECL-EXTERN qfcvt_r LOC=/usr/include/stdlib.h:1053 VKEY=1571 */

/* BEGIN FUNCTION-DECL-EXTERN strsep LOC=/usr/include/string.h:471 VKEY=1921 */
#line 471 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strsep)(char ** __restrict  __stringp ,
                                                                                                 char const   * __restrict  __delim ) ;
/* END FUNCTION-DECL-EXTERN strsep LOC=/usr/include/string.h:471 VKEY=1921 */

/* BEGIN TYPEDEF clock_t LOC=/usr/include/x86_64-linux-gnu/bits/types/clock_t.h:7 */
#line 7 "/usr/include/x86_64-linux-gnu/bits/types/clock_t.h"
typedef __clock_t clock_t;
/* END TYPEDEF clock_t LOC=/usr/include/x86_64-linux-gnu/bits/types/clock_t.h:7 */

/* BEGIN FUNCTION-DECL-EXTERN llogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=3654 */
#line 321 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) llogbf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN llogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=3654 */

/* BEGIN FUNCTION-DECL-EXTERN remainderf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=3630 */
#line 308
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) remainderf)(float __x ,
                                                                                   float __y ) ;
/* END FUNCTION-DECL-EXTERN remainderf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=3630 */

/* BEGIN FUNCTION-DECL-EXTERN __exp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=2594 */
#line 113
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __exp)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=2594 */

/* BEGIN FUNCTION-DECL-EXTERN __y1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=4251 */
#line 257
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __y1l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __y1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=4251 */

/* BEGIN FUNCTION-DECL-EXTERN __scalb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3151 */
#line 468
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __scalb)(double __x ,
                                                                                 double __n ) ;
/* END FUNCTION-DECL-EXTERN __scalb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=3151 */

/* BEGIN STRUCT-DECL _IO_marker LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:37 43 */
#line 37 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h"
struct _IO_marker ;
/* END STRUCT-DECL _IO_marker LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:37 43 */

/* BEGIN FUNCTION-DECL-EXTERN __fromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=4482 */
#line 382 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) __fromfpl)(long double __x ,
                                                                                       int __round ,
                                                                                       unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __fromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=4482 */

/* BEGIN FUNCTION-DECL-EXTERN __lgammaf_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=3587 */
#line 285
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __lgammaf_r)(float  ,
                                                                                    int *__signgamp ) ;
/* END FUNCTION-DECL-EXTERN __lgammaf_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=3587 */

/* BEGIN FUNCTION-DECL-EXTERN strerror_l LOC=/usr/include/string.h:458 VKEY=1845 */
#line 458 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) strerror_l)(int __errnum ,
                                                                                   locale_t __l ) ;
/* END FUNCTION-DECL-EXTERN strerror_l LOC=/usr/include/string.h:458 VKEY=1845 */

/* BEGIN FUNCTION-DECL-EXTERN __atanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3238 */
#line 74 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __atanpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __atanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3238 */

/* BEGIN FUNCTION-DECL-EXTERN __log2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=2702 */
#line 166
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __log2)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __log2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=2702 */

/* BEGIN FUNCTION-DECL-EXTERN llrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=3702 */
#line 352
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llrintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN llrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=3702 */

/* BEGIN FUNCTION-DECL-EXTERN sqrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=2715 */
#line 176
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) sqrt)(double __x ) ;
/* END FUNCTION-DECL-EXTERN sqrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=2715 */

/* BEGIN TYPEDEF register_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:164 */
#line 164 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef int register_t;
/* END TYPEDEF register_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:164 */

/* BEGIN STRUCT random_data LOC=/usr/include/stdlib.h:543 34 */
#line 543 "/usr/include/stdlib.h"
struct random_data {
   int32_t *fptr ;
   int32_t *rptr ;
   int32_t *state ;
   int rand_type ;
   int rand_deg ;
   int rand_sep ;
   int32_t *end_ptr ;
};
/* END STRUCT random_data LOC=/usr/include/stdlib.h:543 34 */

/* BEGIN FUNCTION-DECL-EXTERN fmodf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=3462 */
#line 201 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmodf)(float __x ,
                                                                              float __y ) ;
/* END FUNCTION-DECL-EXTERN fmodf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=3462 */

/* BEGIN TYPEDEF timer_t LOC=/usr/include/x86_64-linux-gnu/bits/types/timer_t.h:7 */
#line 7 "/usr/include/x86_64-linux-gnu/bits/types/timer_t.h"
typedef __timer_t timer_t;
/* END TYPEDEF timer_t LOC=/usr/include/x86_64-linux-gnu/bits/types/timer_t.h:7 */

/* BEGIN FUNCTION-DECL-EXTERN asinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=4007 */
#line 105 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) asinhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN asinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=4007 */

/* BEGIN FUNCTION-DECL-EXTERN acoshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=4001 */
#line 103
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) acoshl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN acoshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=4001 */

/* BEGIN FUNCTION-DECL __bswap_16 LOC=UNKNOWN VKEY=1121 */
__inline static __uint16_t __bswap_16(__uint16_t __bsx ) ;
/* END FUNCTION-DECL __bswap_16 LOC=UNKNOWN VKEY=1121 */

/* BEGIN FUNCTION-DECL-EXTERN expm1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=2675 */
#line 152
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) expm1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN expm1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=2675 */

/* BEGIN FUNCTION-DECL-EXTERN fminl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:369 VKEY=4451 */
#line 369
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fminl)(long double __x ,
                                                                                    long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:369 VKEY=4451 */

/* BEGIN FUNCTION-DECL-EXTERN fmax LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:366 VKEY=3018 */
#line 366
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmax)(double __x ,
                                                                              double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmax LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:366 VKEY=3018 */

/* BEGIN FUNCTION-DECL-EXTERN strncasecmp LOC=/usr/include/strings.h:120 VKEY=1895 */
#line 120 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) strncasecmp)(char const   *__s1 ,
                                                                                                    char const   *__s2 ,
                                                                                                    size_t __n )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strncasecmp LOC=/usr/include/strings.h:120 VKEY=1895 */

/* BEGIN FUNCTION-DECL-EXTERN ilogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=2934 */
#line 316 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ilogb)(double __x ) ;
/* END FUNCTION-DECL-EXTERN ilogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=2934 */

/* BEGIN FUNCTION-DECL-EXTERN __jnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=4239 */
#line 255
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __jnl)(int  ,
                                                                                    long double  ) ;
/* END FUNCTION-DECL-EXTERN __jnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=4239 */

/* BEGIN FUNCTION-DECL-EXTERN strncasecmp_l LOC=/usr/include/strings.h:133 VKEY=1911 */
#line 133 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2,4), __leaf__)) strncasecmp_l)(char const   *__s1 ,
                                                                                                        char const   *__s2 ,
                                                                                                        size_t __n ,
                                                                                                        locale_t __loc )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strncasecmp_l LOC=/usr/include/strings.h:133 VKEY=1911 */

/* BEGIN FUNCTION-DECL-EXTERN rintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=4304 */
#line 292 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) rintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN rintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=4304 */

/* BEGIN FUNCTION-DECL-EXTERN ldexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=4037 */
#line 119
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) ldexpl)(long double __x ,
                                                                                     int __exponent ) ;
/* END FUNCTION-DECL-EXTERN ldexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=4037 */

/* BEGIN FUNCTION-DECL-EXTERN mrand48 LOC=/usr/include/stdlib.h:596 VKEY=1229 */
#line 596 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) mrand48)(void) ;
/* END FUNCTION-DECL-EXTERN mrand48 LOC=/usr/include/stdlib.h:596 VKEY=1229 */

/* BEGIN FUNCTION-DECL-EXTERN strncpy LOC=/usr/include/string.h:144 VKEY=1680 */
#line 144 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strncpy)(char * __restrict  __dest ,
                                                                                                  char const   * __restrict  __src ,
                                                                                                  size_t __n ) ;
/* END FUNCTION-DECL-EXTERN strncpy LOC=/usr/include/string.h:144 VKEY=1680 */

/* BEGIN TYPEDEF pthread_cond_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:75 */
#line 75 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_cond_t_951761805 pthread_cond_t;
/* END TYPEDEF pthread_cond_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:75 */

/* BEGIN FUNCTION-DECL-EXTERN ftello LOC=/usr/include/stdio.h:799 VKEY=2372 */
#line 799 "/usr/include/stdio.h"
extern __off_t ( __attribute__((__nonnull__(1))) ftello)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN ftello LOC=/usr/include/stdio.h:799 VKEY=2372 */

/* BEGIN FUNCTION-DECL-EXTERN log2p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=3371 */
#line 141 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) log2p1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN log2p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=3371 */

/* BEGIN FUNCTION-DECL-EXTERN remainder LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=2916 */
#line 308
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) remainder)(double __x ,
                                                                                   double __y ) ;
/* END FUNCTION-DECL-EXTERN remainder LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=2916 */

/* BEGIN TYPEDEF __fsword_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:192 */
#line 192 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __fsword_t;
/* END TYPEDEF __fsword_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:192 */

/* BEGIN FUNCTION-DECL-EXTERN __ynl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=4261 */
#line 258 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __ynl)(int  ,
                                                                                    long double  ) ;
/* END FUNCTION-DECL-EXTERN __ynl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=4261 */

/* BEGIN FUNCTION-DECL-EXTERN __nearbyintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=3673 */
#line 330
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __nearbyintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __nearbyintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=3673 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximumf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:418 VKEY=3820 */
#line 418
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmaximumf)(float __x ,
                                                                                  float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximumf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:418 VKEY=3820 */

/* BEGIN STRUCT-DECL __anonstruct___once_flag_783464055 LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:109 24 */
#line 109 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __anonstruct___once_flag_783464055 ;
/* END STRUCT-DECL __anonstruct___once_flag_783464055 LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:109 24 */

/* BEGIN FUNCTION-DECL-EXTERN __ufromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=4524 */
#line 399 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) __ufromfpxl)(long double __x ,
                                                                                          int __round ,
                                                                                          unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __ufromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=4524 */

/* BEGIN FUNCTION-DECL-EXTERN strtold LOC=/usr/include/stdlib.h:127 VKEY=1003 */
#line 127 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__nonnull__(1),
__leaf__)) strtold)(char const   * __restrict  __nptr , char ** __restrict  __endptr ) ;
/* END FUNCTION-DECL-EXTERN strtold LOC=/usr/include/stdlib.h:127 VKEY=1003 */

/* BEGIN FUNCTION-DECL-EXTERN __remquol LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=4407 */
#line 343 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __remquol)(long double __x ,
                                                                                        long double __y ,
                                                                                        int *__quo ) ;
/* END FUNCTION-DECL-EXTERN __remquol LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=4407 */

/* BEGIN TYPEDEF intptr_t___0 LOC=/tmp/forklift_obfu_ecfkw6la/input.c:28 */
#line 28 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef long intptr_t___0;
/* END TYPEDEF intptr_t___0 LOC=/tmp/forklift_obfu_ecfkw6la/input.c:28 */

/* BEGIN FUNCTION-DECL-EXTERN log10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=3337 */
#line 125 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) log10f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN log10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=3337 */

/* BEGIN FUNCTION-DECL-EXTERN __frexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=2604 */
#line 116
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __frexp)(double __x ,
                                                                                 int *__exponent ) ;
/* END FUNCTION-DECL-EXTERN __frexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=2604 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_mag LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:430 VKEY=3126 */
#line 430
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmaximum_mag)(double __x ,
                                                                                      double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_mag LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:430 VKEY=3126 */

/* BEGIN FUNCTION-DECL-EXTERN __exp10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=4070 */
#line 132
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __exp10l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=4070 */

/* BEGIN FUNCTION-DECL-EXTERN log2p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=4085 */
#line 141
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) log2p1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN log2p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=4085 */

/* BEGIN FUNCTION-DECL-EXTERN feof LOC=/usr/include/stdio.h:852 VKEY=2388 */
#line 852 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) feof)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN feof LOC=/usr/include/stdio.h:852 VKEY=2388 */

/* BEGIN FUNCTION-DECL-EXTERN fdiml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=4436 */
#line 362 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fdiml)(long double __x ,
                                                                                    long double __y ) ;
/* END FUNCTION-DECL-EXTERN fdiml LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=4436 */

/* BEGIN FUNCTION-DECL-EXTERN log10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=4051 */
#line 125
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) log10l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN log10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=4051 */

/* BEGIN FUNCTION-DECL-EXTERN gammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=3574 */
#line 277
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) gammaf)(float  ) ;
/* END FUNCTION-DECL-EXTERN gammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=3574 */

/* BEGIN STRUCT-DECL _G_fpos64_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h:10 41 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h"
struct _G_fpos64_t ;
/* END STRUCT-DECL _G_fpos64_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h:10 41 */

/* BEGIN FUNCTION-DECL-EXTERN seed48_r LOC=/usr/include/stdlib.h:649 VKEY=1287 */
#line 649 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) seed48_r)(unsigned short *__seed16v ,
                                                                                                 struct drand48_data *__buffer ) ;
/* END FUNCTION-DECL-EXTERN seed48_r LOC=/usr/include/stdlib.h:649 VKEY=1287 */

/* BEGIN FUNCTION-DECL-EXTERN __remquof LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=3693 */
#line 343 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __remquof)(float __x ,
                                                                                  float __y ,
                                                                                  int *__quo ) ;
/* END FUNCTION-DECL-EXTERN __remquof LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=3693 */

/* BEGIN FUNCTION-DECL-EXTERN cbrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=2731 */
#line 185
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) cbrt)(double __x ) ;
/* END FUNCTION-DECL-EXTERN cbrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=2731 */

/* BEGIN FUNCTION-DECL-EXTERN __fromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3796 */
#line 393
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) __fromfpxf)(float __x ,
                                                                                        int __round ,
                                                                                        unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __fromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3796 */

/* BEGIN FUNCTION-DECL-EXTERN snprintf LOC=/usr/include/stdio.h:385 VKEY=2114 */
#line 385 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( /* format attribute */  snprintf)(char * __restrict  __s ,
                                                                             size_t __maxlen ,
                                                                             char const   * __restrict  __format 
                                                                             , ...) ;
/* END FUNCTION-DECL-EXTERN snprintf LOC=/usr/include/stdio.h:385 VKEY=2114 */

/* BEGIN FUNCTION-DECL-EXTERN __frexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=3318 */
#line 116 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __frexpf)(float __x ,
                                                                                 int *__exponent ) ;
/* END FUNCTION-DECL-EXTERN __frexpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=3318 */

/* BEGIN VARIABLE-DECL _TIG_IZ_Gv2W_envp LOC=UNKNOWN VKEY=4885 */
char **_TIG_IZ_Gv2W_envp ;
/* END VARIABLE-DECL _TIG_IZ_Gv2W_envp LOC=UNKNOWN VKEY=4885 */

/* BEGIN FUNCTION-DECL-EXTERN cosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3919 */
#line 62
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) cosl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN cosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3919 */

/* BEGIN FUNCTION-DECL-EXTERN memccpy LOC=/usr/include/string.h:54 VKEY=1640 */
#line 54 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1,2), __leaf__)) memccpy)(void * __restrict  __dest ,
                                                                                                  void const   * __restrict  __src ,
                                                                                                  int __c ,
                                                                                                  size_t __n )  __attribute__((__access__(__write_only__,1,4))) ;
/* END FUNCTION-DECL-EXTERN memccpy LOC=/usr/include/string.h:54 VKEY=1640 */

/* BEGIN FUNCTION-DECL-EXTERN asinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3229 */
#line 72 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) asinpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN asinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3229 */

/* BEGIN FUNCTION-DECL-EXTERN __sqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=4146 */
#line 176
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __sqrtl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __sqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=4146 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:427 VKEY=4549 */
#line 427
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fminimum_numl)(long double __x ,
                                                                                            long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:427 VKEY=4549 */

/* BEGIN FUNCTION-DECL-EXTERN exp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=2591 */
#line 113
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) exp)(double __x ) ;
/* END FUNCTION-DECL-EXTERN exp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=2591 */

/* BEGIN FUNCTION-DECL-EXTERN atanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3903 */
#line 57
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) atanl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN atanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3903 */

/* BEGIN FUNCTION-DECL-EXTERN __scalbnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=3645 */
#line 312
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __scalbnf)(float __x ,
                                                                                  int __n ) ;
/* END FUNCTION-DECL-EXTERN __scalbnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=3645 */

/* BEGIN FUNCTION-DECL-EXTERN __ufromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3068 */
#line 387
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) __ufromfp)(double __x ,
                                                                                        int __round ,
                                                                                        unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __ufromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3068 */

/* BEGIN FUNCTION-DECL-EXTERN memchr LOC=/usr/include/string.h:107 VKEY=1668 */
#line 107 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1), __leaf__)) memchr)(void const   *__s ,
                                                                                               int __c ,
                                                                                               size_t __n )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN memchr LOC=/usr/include/string.h:107 VKEY=1668 */

/* BEGIN FUNCTION-DECL-EXTERN putchar LOC=/usr/include/stdio.h:618 VKEY=2247 */
#line 618 "/usr/include/stdio.h"
extern int putchar(int __c ) ;
/* END FUNCTION-DECL-EXTERN putchar LOC=/usr/include/stdio.h:618 VKEY=2247 */

/* BEGIN FUNCTION-DECL-EXTERN fsub LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:39 VKEY=4632 */
#line 39 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fsub)(double __x ,
                                                                             double __y ) ;
/* END FUNCTION-DECL-EXTERN fsub LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:39 VKEY=4632 */

/* BEGIN FUNCTION-DECL-EXTERN sqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=4143 */
#line 176 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) sqrtl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN sqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=4143 */

/* BEGIN STRUCT-DECL __pthread_rwlock_arch_t LOC=/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h:23 22 */
#line 23 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h"
struct __pthread_rwlock_arch_t ;
/* END STRUCT-DECL __pthread_rwlock_arch_t LOC=/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h:23 22 */

/* BEGIN TYPEDEF pthread_rwlockattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:93 */
#line 93 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_rwlockattr_t_145707745 pthread_rwlockattr_t;
/* END TYPEDEF pthread_rwlockattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:93 */

/* BEGIN FUNCTION-DECL-EXTERN ilogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=3648 */
#line 316 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ilogbf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN ilogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=3648 */

/* BEGIN FUNCTION-DECL-EXTERN atanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=3299 */
#line 107
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) atanhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN atanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=3299 */

/* BEGIN FUNCTION-DECL-EXTERN __llroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=4431 */
#line 358
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) __llroundl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __llroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=4431 */

/* BEGIN FUNCTION-DECL-EXTERN __scalbln LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=2953 */
#line 326
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __scalbln)(double __x ,
                                                                                   long __n ) ;
/* END FUNCTION-DECL-EXTERN __scalbln LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=2953 */

/* BEGIN FUNCTION-DECL-EXTERN fromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3761 */
#line 382
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) fromfpf)(float __x ,
                                                                                     int __round ,
                                                                                     unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN fromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3761 */

/* BEGIN FUNCTION-DECL-EXTERN calloc LOC=/usr/include/stdlib.h:675 VKEY=1311 */
#line 675 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__leaf__)) calloc)(size_t __nmemb ,
                                                                               size_t __size )  __attribute__((__malloc__,
__alloc_size__(1,2))) ;
/* END FUNCTION-DECL-EXTERN calloc LOC=/usr/include/stdlib.h:675 VKEY=1311 */

/* BEGIN FUNCTION-DECL-EXTERN mkstemp LOC=/usr/include/stdlib.h:827 VKEY=1407 */
#line 827
extern int ( __attribute__((__nonnull__(1))) mkstemp)(char *__template ) ;
/* END FUNCTION-DECL-EXTERN mkstemp LOC=/usr/include/stdlib.h:827 VKEY=1407 */

/* BEGIN FUNCTION-DECL-EXTERN tan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=2503 */
#line 66 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) tan)(double __x ) ;
/* END FUNCTION-DECL-EXTERN tan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=2503 */

/* BEGIN TYPEDEF fsfilcnt_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:200 */
#line 200 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __fsfilcnt_t fsfilcnt_t;
/* END TYPEDEF fsfilcnt_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:200 */

/* BEGIN FUNCTION-DECL-EXTERN acosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3891 */
#line 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) acosl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN acosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3891 */

/* BEGIN FUNCTION-DECL-EXTERN erff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=3550 */
#line 264
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) erff)(float  ) ;
/* END FUNCTION-DECL-EXTERN erff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=3550 */

/* BEGIN STRUCT __anonstruct_ldiv_t_790849867 LOC=/usr/include/stdlib.h:67 10 */
#line 67 "/usr/include/stdlib.h"
struct __anonstruct_ldiv_t_790849867 {
   long quot ;
   long rem ;
};
/* END STRUCT __anonstruct_ldiv_t_790849867 LOC=/usr/include/stdlib.h:67 10 */

/* BEGIN FUNCTION-DECL-EXTERN __nextup LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=2911 */
#line 304 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __nextup)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __nextup LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=2911 */

/* BEGIN TYPEDEF u_short LOC=/usr/include/x86_64-linux-gnu/sys/types.h:34 */
#line 34 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __u_short u_short;
/* END TYPEDEF u_short LOC=/usr/include/x86_64-linux-gnu/sys/types.h:34 */

/* BEGIN FUNCTION-DECL-EXTERN strlen LOC=/usr/include/string.h:407 VKEY=1825 */
#line 407 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(1), __leaf__)) strlen)(char const   *__s )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strlen LOC=/usr/include/string.h:407 VKEY=1825 */

/* BEGIN FUNCTION-DECL-EXTERN roundeven LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:378 VKEY=3040 */
#line 378 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) roundeven)(double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN roundeven LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:378 VKEY=3040 */

/* BEGIN FUNCTION-DECL-EXTERN coshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3269 */
#line 89
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) coshf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN coshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3269 */

/* BEGIN FUNCTION-DECL-EXTERN erfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=4264 */
#line 264
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) erfl)(long double  ) ;
/* END FUNCTION-DECL-EXTERN erfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=4264 */

/* BEGIN TYPEDEF uint_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:32 */
#line 32 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __uint_least16_t uint_least16_t;
/* END TYPEDEF uint_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:32 */

/* BEGIN FUNCTION-DECL-EXTERN isnanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:246 VKEY=4217 */
#line 246 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isnanl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN isnanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:246 VKEY=4217 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_magf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:433 VKEY=3845 */
#line 433
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fminimum_magf)(float __x ,
                                                                                      float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_magf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:433 VKEY=3845 */

/* BEGIN FUNCTION-DECL-EXTERN ceilf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:192 VKEY=3451 */
#line 192
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) ceilf)(float __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ceilf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:192 VKEY=3451 */

/* BEGIN STRUCT-DECL __anonstruct_div_t_773697287 LOC=/usr/include/stdlib.h:59 9 */
#line 59 "/usr/include/stdlib.h"
struct __anonstruct_div_t_773697287 ;
/* END STRUCT-DECL __anonstruct_div_t_773697287 LOC=/usr/include/stdlib.h:59 9 */

/* BEGIN FUNCTION-DECL-EXTERN __sqrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=2718 */
#line 176 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __sqrt)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __sqrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176 VKEY=2718 */

/* BEGIN FUNCTION-DECL-EXTERN __getdelim LOC=/usr/include/stdio.h:689 VKEY=2284 */
#line 689 "/usr/include/stdio.h"
extern __ssize_t ( __attribute__((__nonnull__(4))) __getdelim)(char ** __restrict  __lineptr ,
                                                               size_t * __restrict  __n ,
                                                               int __delimiter , FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN __getdelim LOC=/usr/include/stdio.h:689 VKEY=2284 */

/* BEGIN FUNCTION-DECL-EXTERN __llogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=2943 */
#line 321 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __llogb)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __llogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=2943 */

/* BEGIN FUNCTION-DECL-EXTERN strtoq LOC=/usr/include/stdlib.h:188 VKEY=1024 */
#line 188 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__nonnull__(1), __leaf__)) strtoq)(char const   * __restrict  __nptr ,
                                                                                                   char ** __restrict  __endptr ,
                                                                                                   int __base )  __asm__("__isoc23_strtoll")  ;
/* END FUNCTION-DECL-EXTERN strtoq LOC=/usr/include/stdlib.h:188 VKEY=1024 */

/* BEGIN FUNCTION-DECL-EXTERN ddivl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:27 VKEY=4672 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) ddivl)(long double __x ,
                                                                               long double __y ) ;
/* END FUNCTION-DECL-EXTERN ddivl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:27 VKEY=4672 */

/* BEGIN FUNCTION-DECL-EXTERN dsqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:36 VKEY=4687 */
#line 36
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) dsqrtl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN dsqrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:36 VKEY=4687 */

/* BEGIN FUNCTION-DECL-EXTERN atoi LOC=/usr/include/stdlib.h:105 VKEY=982 */
#line 105 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) atoi)(char const   *__nptr )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN atoi LOC=/usr/include/stdlib.h:105 VKEY=982 */

/* BEGIN FUNCTION-DECL-EXTERN clearerr LOC=/usr/include/stdio.h:850 VKEY=2385 */
#line 850 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) clearerr)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN clearerr LOC=/usr/include/stdio.h:850 VKEY=2385 */

/* BEGIN FUNCTION-DECL-EXTERN __scalbn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=2931 */
#line 312 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __scalbn)(double __x ,
                                                                                  int __n ) ;
/* END FUNCTION-DECL-EXTERN __scalbn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=2931 */

/* BEGIN FUNCTION-DECL-EXTERN srand48_r LOC=/usr/include/stdlib.h:646 VKEY=1282 */
#line 646 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(2), __leaf__)) srand48_r)(long __seedval ,
                                                                                                struct drand48_data *__buffer ) ;
/* END FUNCTION-DECL-EXTERN srand48_r LOC=/usr/include/stdlib.h:646 VKEY=1282 */

/* BEGIN FUNCTION-DECL-EXTERN sinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3211 */
#line 64 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) sinf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN sinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3211 */

/* BEGIN FUNCTION-DECL-EXTERN log2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=4127 */
#line 166
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) log2l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN log2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=4127 */

/* BEGIN FUNCTION-DECL-EXTERN daddl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:24 VKEY=4667 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) daddl)(long double __x ,
                                                                               long double __y ) ;
/* END FUNCTION-DECL-EXTERN daddl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:24 VKEY=4667 */

/* BEGIN FUNCTION-DECL-EXTERN mblen LOC=/usr/include/stdlib.h:1062 VKEY=1576 */
#line 1062 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) mblen)(char const   *__s ,
                                                                            size_t __n ) ;
/* END FUNCTION-DECL-EXTERN mblen LOC=/usr/include/stdlib.h:1062 VKEY=1576 */

/* BEGIN FUNCTION-DECL-EXTERN __exp2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=4124 */
#line 163 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __exp2l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=4124 */

/* BEGIN STRUCT __anonstruct_lldiv_t_103911545 LOC=/usr/include/stdlib.h:77 11 */
#line 77 "/usr/include/stdlib.h"
struct __anonstruct_lldiv_t_103911545 {
   long long quot ;
   long long rem ;
};
/* END STRUCT __anonstruct_lldiv_t_103911545 LOC=/usr/include/stdlib.h:77 11 */

/* BEGIN FUNCTION-DECL-EXTERN atan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=2475 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) atan)(double __x ) ;
/* END FUNCTION-DECL-EXTERN atan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=2475 */

/* BEGIN FUNCTION-DECL-EXTERN nextafter LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=2884 */
#line 295
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) nextafter)(double __x ,
                                                                                   double __y ) ;
/* END FUNCTION-DECL-EXTERN nextafter LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=2884 */

/* BEGIN FUNCTION-DECL-EXTERN nan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=2783 */
#line 236
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) nan)(char const   *__tagb ) ;
/* END FUNCTION-DECL-EXTERN nan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=2783 */

/* BEGIN STRUCT __anonstruct_fd_set_356711149 LOC=/usr/include/x86_64-linux-gnu/sys/select.h:59 16 */
#line 59 "/usr/include/x86_64-linux-gnu/sys/select.h"
struct __anonstruct_fd_set_356711149 {
   __fd_mask __fds_bits[1024 / (8 * (int )sizeof(__fd_mask ))] ;
};
/* END STRUCT __anonstruct_fd_set_356711149 LOC=/usr/include/x86_64-linux-gnu/sys/select.h:59 16 */

/* BEGIN FUNCTION-DECL-EXTERN initstate LOC=/usr/include/stdlib.h:530 VKEY=1178 */
#line 530 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(2), __leaf__)) initstate)(unsigned int __seed ,
                                                                                                  char *__statebuf ,
                                                                                                  size_t __statelen ) ;
/* END FUNCTION-DECL-EXTERN initstate LOC=/usr/include/stdlib.h:530 VKEY=1178 */

/* BEGIN FUNCTION-DECL-EXTERN nearbyintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=4384 */
#line 330 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) nearbyintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN nearbyintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=4384 */

/* BEGIN FUNCTION-DECL-EXTERN fabs LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:195 VKEY=2740 */
#line 195
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fabs)(double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fabs LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:195 VKEY=2740 */

/* BEGIN FUNCTION-DECL-EXTERN __erfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=4267 */
#line 264
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __erfl)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __erfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=4267 */

/* BEGIN UNION-DECL __anonunion_pthread_cond_t_951761805 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:75 CKEY=29 */
#line 75 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_cond_t_951761805 ;
/* END UNION-DECL __anonunion_pthread_cond_t_951761805 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:75 CKEY=29 */

/* BEGIN FUNCTION-DECL-EXTERN __fromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=4510 */
#line 393 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) __fromfpxl)(long double __x ,
                                                                                        int __round ,
                                                                                        unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __fromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=4510 */

/* BEGIN FUNCTION-DECL-EXTERN j1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=3512 */
#line 254
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) j1f)(float  ) ;
/* END FUNCTION-DECL-EXTERN j1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=3512 */

/* BEGIN TYPEDEF intptr_t LOC=/usr/include/stdint.h:76 */
#line 76 "/usr/include/stdint.h"
typedef long intptr_t;
/* END TYPEDEF intptr_t LOC=/usr/include/stdint.h:76 */

/* BEGIN FUNCTION-DECL-EXTERN j1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=4226 */
#line 254 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) j1l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN j1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=4226 */

/* BEGIN FUNCTION-DECL-EXTERN __erff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=3553 */
#line 264
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __erff)(float  ) ;
/* END FUNCTION-DECL-EXTERN __erff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=3553 */

/* BEGIN FUNCTION-DECL-EXTERN __acosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3894 */
#line 53
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __acosl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __acosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3894 */

/* BEGIN FUNCTION-DECL-EXTERN copysignf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:231 VKEY=3494 */
#line 231
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) copysignf)(float __x ,
                                                                                  float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN copysignf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:231 VKEY=3494 */

/* BEGIN FUNCTION-DECL-EXTERN modfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=4059 */
#line 128
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) modfl)(long double __x ,
                                                                                    long double *__iptr ) ;
/* END FUNCTION-DECL-EXTERN modfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=4059 */

/* BEGIN FUNCTION-DECL-EXTERN mkstemps LOC=/usr/include/stdlib.h:849 VKEY=1412 */
#line 849 "/usr/include/stdlib.h"
extern int ( __attribute__((__nonnull__(1))) mkstemps)(char *__template , int __suffixlen ) ;
/* END FUNCTION-DECL-EXTERN mkstemps LOC=/usr/include/stdlib.h:849 VKEY=1412 */

/* BEGIN FUNCTION-DECL-EXTERN __log10p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=3380 */
#line 144 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __log10p1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __log10p1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=3380 */

/* BEGIN TYPEDEF sigset_t LOC=/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h:7 */
#line 7 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h"
typedef __sigset_t sigset_t;
/* END TYPEDEF sigset_t LOC=/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h:7 */

/* BEGIN TYPEDEF __fpos64_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h:10 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h"
typedef struct _G_fpos64_t __fpos64_t;
/* END TYPEDEF __fpos64_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h:10 */

/* BEGIN FUNCTION-DECL-EXTERN hypot LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=2723 */
#line 180 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) hypot)(double __x ,
                                                                               double __y ) ;
/* END FUNCTION-DECL-EXTERN hypot LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=2723 */

/* BEGIN UNION-DECL __anonunion___value_751190509 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 CKEY=39 */
#line 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h"
union __anonunion___value_751190509 ;
/* END UNION-DECL __anonunion___value_751190509 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 CKEY=39 */

/* BEGIN FUNCTION-DECL-EXTERN __ufromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3096 */
#line 399 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) __ufromfpx)(double __x ,
                                                                                         int __round ,
                                                                                         unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __ufromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=3096 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_magf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:430 VKEY=3840 */
#line 430
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmaximum_magf)(float __x ,
                                                                                      float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_magf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:430 VKEY=3840 */

/* BEGIN FUNCTION-DECL-EXTERN canonicalizef LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:403 VKEY=3815 */
#line 403
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) canonicalizef)(float *__cx ,
                                                                                    float const   *__x ) ;
/* END FUNCTION-DECL-EXTERN canonicalizef LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:403 VKEY=3815 */

/* BEGIN FUNCTION-DECL-EXTERN free LOC=/usr/include/stdlib.h:687 VKEY=1319 */
#line 687 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__leaf__)) free)(void *__ptr ) ;
/* END FUNCTION-DECL-EXTERN free LOC=/usr/include/stdlib.h:687 VKEY=1319 */

/* BEGIN FUNCTION-DECL-EXTERN __expm1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=3392 */
#line 152 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __expm1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __expm1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=3392 */

/* BEGIN FUNCTION-DECL-EXTERN llrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=2988 */
#line 352
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llrint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN llrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=2988 */

/* BEGIN ENUM __anonenum_18926444 LOC=/usr/include/ctype.h:46 */
#line 46 "/usr/include/ctype.h"
enum __anonenum_18926444 {
    _ISupper = 256,
    _ISlower = 512,
    _ISalpha = 1024,
    _ISdigit = 2048,
    _ISxdigit = 4096,
    _ISspace = 8192,
    _ISprint = 16384,
    _ISgraph = 32768,
    _ISblank = 1,
    _IScntrl = 2,
    _ISpunct = 4,
    _ISalnum = 8
} ;
/* END ENUM __anonenum_18926444 LOC=/usr/include/ctype.h:46 */

/* BEGIN FUNCTION-DECL-EXTERN __issignalingf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=4602 */
#line 44 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __issignalingf128)(_Float128 __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __issignalingf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:44 VKEY=4602 */

/* BEGIN FUNCTION-DECL-EXTERN __frexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=4032 */
#line 116 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __frexpl)(long double __x ,
                                                                                       int *__exponent ) ;
/* END FUNCTION-DECL-EXTERN __frexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=4032 */

/* BEGIN FUNCTION-DECL-EXTERN __tanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=2552 */
#line 83
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __tanpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __tanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=2552 */

/* BEGIN FUNCTION-DECL-EXTERN __assert_fail LOC=/usr/include/assert.h:69 VKEY=4848 */
#line 69 "/usr/include/assert.h"
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) __assert_fail)(char const   *__assertion ,
                                                                                                   char const   *__file ,
                                                                                                   unsigned int __line ,
                                                                                                   char const   *__function )  __attribute__((__cold__)) ;
/* END FUNCTION-DECL-EXTERN __assert_fail LOC=/usr/include/assert.h:69 VKEY=4848 */

/* BEGIN FUNCTION-DECL-EXTERN atanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3235 */
#line 74 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) atanpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN atanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=3235 */

/* BEGIN FUNCTION-DECL-EXTERN __log10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=4054 */
#line 125
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __log10l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __log10l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=4054 */

/* BEGIN FUNCTION-DECL-EXTERN __log2p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=4088 */
#line 141
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __log2p1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __log2p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=4088 */

/* BEGIN FUNCTION-DECL-EXTERN fflush_unlocked LOC=/usr/include/stdio.h:245 VKEY=2015 */
#line 245 "/usr/include/stdio.h"
extern int fflush_unlocked(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fflush_unlocked LOC=/usr/include/stdio.h:245 VKEY=2015 */

/* BEGIN FUNCTION-DECL-EXTERN yn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=2828 */
#line 258 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) yn)(int  ,
                                                                            double  ) ;
/* END FUNCTION-DECL-EXTERN yn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=2828 */

/* BEGIN FUNCTION-DECL-EXTERN ffma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:30 VKEY=4619 */
#line 30 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) ffma)(double __x ,
                                                                             double __y ,
                                                                             double __z ) ;
/* END FUNCTION-DECL-EXTERN ffma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:30 VKEY=4619 */

/* BEGIN FUNCTION-DECL-EXTERN __nearbyintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=4387 */
#line 330 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __nearbyintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __nearbyintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=4387 */

/* BEGIN FUNCTION-DECL-EXTERN getline LOC=/usr/include/stdio.h:697 VKEY=2300 */
#line 697 "/usr/include/stdio.h"
extern __ssize_t ( __attribute__((__nonnull__(3))) getline)(char ** __restrict  __lineptr ,
                                                            size_t * __restrict  __n ,
                                                            FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN getline LOC=/usr/include/stdio.h:697 VKEY=2300 */

/* BEGIN FUNCTION-DECL-EXTERN valloc LOC=/usr/include/stdlib.h:712 VKEY=1339 */
#line 712 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__leaf__)) valloc)(size_t __size )  __attribute__((__malloc__,
__alloc_size__(1))) ;
/* END FUNCTION-DECL-EXTERN valloc LOC=/usr/include/stdlib.h:712 VKEY=1339 */

/* BEGIN FUNCTION-DECL-EXTERN __modf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=2636 */
#line 128 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__nonnull__(2), __leaf__)) __modf)(double __x ,
                                                                                                double *__iptr ) ;
/* END FUNCTION-DECL-EXTERN __modf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=2636 */

/* BEGIN FUNCTION-DECL-EXTERN __llround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3003 */
#line 358
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) __llround)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __llround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3003 */

/* BEGIN TYPEDEF float_t LOC=/usr/include/math.h:167 */
#line 167 "/usr/include/math.h"
typedef float float_t;
/* END TYPEDEF float_t LOC=/usr/include/math.h:167 */

/* BEGIN FUNCTION-DECL-EXTERN scalblnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=4376 */
#line 326 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) scalblnl)(long double __x ,
                                                                                       long __n ) ;
/* END FUNCTION-DECL-EXTERN scalblnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=4376 */

/* BEGIN FUNCTION-DECL-EXTERN y1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=2820 */
#line 257
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) y1)(double  ) ;
/* END FUNCTION-DECL-EXTERN y1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=2820 */

/* BEGIN FUNCTION-DECL-EXTERN __expm1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=4106 */
#line 152
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __expm1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __expm1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=4106 */

/* BEGIN FUNCTION-DECL-EXTERN nextupl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=4336 */
#line 304
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) nextupl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN nextupl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=4336 */

/* BEGIN FUNCTION-DECL-EXTERN __cbrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=4162 */
#line 185
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __cbrtl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __cbrtl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=4162 */

/* BEGIN FUNCTION-DECL-EXTERN __cosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3922 */
#line 62
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __cosl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __cosl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3922 */

/* BEGIN FUNCTION-DECL-EXTERN __acospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3940 */
#line 70
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __acospil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __acospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3940 */

/* BEGIN FUNCTION-DECL-EXTERN __fromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3082 */
#line 393
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) __fromfpx)(double __x ,
                                                                                       int __round ,
                                                                                       unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __fromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3082 */

/* BEGIN FUNCTION-DECL-EXTERN llroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=4428 */
#line 358
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llroundl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN llroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=4428 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:424 VKEY=4544 */
#line 424
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmaximum_numl)(long double __x ,
                                                                                            long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:424 VKEY=4544 */

/* BEGIN FUNCTION-DECL-EXTERN log1pf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=3395 */
#line 155
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) log1pf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN log1pf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=3395 */

/* BEGIN FUNCTION-DECL-EXTERN asinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3897 */
#line 55
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) asinl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN asinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3897 */

/* BEGIN FUNCTION-DECL-EXTERN strdup LOC=/usr/include/string.h:187 VKEY=1735 */
#line 187 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) strdup)(char const   *__s )  __attribute__((__malloc__)) ;
/* END FUNCTION-DECL-EXTERN strdup LOC=/usr/include/string.h:187 VKEY=1735 */

/* BEGIN FUNCTION-DECL-EXTERN setstate_r LOC=/usr/include/stdlib.h:565 VKEY=1205 */
#line 565 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) setstate_r)(char * __restrict  __statebuf ,
                                                                                                   struct random_data * __restrict  __buf ) ;
/* END FUNCTION-DECL-EXTERN setstate_r LOC=/usr/include/stdlib.h:565 VKEY=1205 */

/* BEGIN TYPEDEF id_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:103 */
#line 103 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __id_t id_t;
/* END TYPEDEF id_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:103 */

/* BEGIN FUNCTION-DECL-EXTERN ceil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:192 VKEY=2737 */
#line 192 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) ceil)(double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ceil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:192 VKEY=2737 */

/* BEGIN FUNCTION-DECL-EXTERN wcstombs LOC=/usr/include/stdlib.h:1077 VKEY=1602 */
#line 1077 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__leaf__)) wcstombs)(char * __restrict  __s ,
                                                                                  wchar_t const   * __restrict  __pwcs ,
                                                                                  size_t __n )  __attribute__((__access__(__read_only__,2),
__access__(__write_only__,1,3))) ;
/* END FUNCTION-DECL-EXTERN wcstombs LOC=/usr/include/stdlib.h:1077 VKEY=1602 */

/* BEGIN FUNCTION-DECL-EXTERN __ilogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=4365 */
#line 316 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __ilogbl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __ilogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=4365 */

/* BEGIN FUNCTION-DECL-EXTERN fminf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:369 VKEY=3737 */
#line 369
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fminf)(float __x ,
                                                                              float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:369 VKEY=3737 */

/* BEGIN FUNCTION-DECL-EXTERN jrand48 LOC=/usr/include/stdlib.h:597 VKEY=1232 */
#line 597 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__nonnull__(1), __leaf__)) jrand48)(unsigned short *__xsubi ) ;
/* END FUNCTION-DECL-EXTERN jrand48 LOC=/usr/include/stdlib.h:597 VKEY=1232 */

/* BEGIN TYPEDEF __suseconds64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:163 */
#line 163 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __suseconds64_t;
/* END TYPEDEF __suseconds64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:163 */

/* BEGIN FUNCTION-DECL-EXTERN __exp2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=2696 */
#line 163 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __exp2)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=2696 */

/* BEGIN FUNCTION-DECL-EXTERN div LOC=/usr/include/stdlib.h:992 VKEY=1459 */
#line 992 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) div_t ( __attribute__((__leaf__)) div)(int __numer ,
                                                                            int __denom )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN div LOC=/usr/include/stdlib.h:992 VKEY=1459 */

/* BEGIN FUNCTION-DECL-EXTERN lgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=3562 */
#line 266 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) lgammaf)(float  ) ;
/* END FUNCTION-DECL-EXTERN lgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=3562 */

/* BEGIN STRUCT-DECL _IO_codecvt LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:38 44 */
#line 38 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h"
struct _IO_codecvt ;
/* END STRUCT-DECL _IO_codecvt LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:38 44 */

/* BEGIN TYPEDEF u_long LOC=/usr/include/x86_64-linux-gnu/sys/types.h:36 */
#line 36 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __u_long u_long;
/* END TYPEDEF u_long LOC=/usr/include/x86_64-linux-gnu/sys/types.h:36 */

/* BEGIN FUNCTION-DECL-EXTERN __y0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=4245 */
#line 256 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __y0l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __y0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=4245 */

/* BEGIN FUNCTION-DECL-EXTERN __llroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3717 */
#line 358
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) __llroundf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __llroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3717 */

/* BEGIN TYPEDEF uint LOC=/usr/include/x86_64-linux-gnu/sys/types.h:150 */
#line 150 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef unsigned int uint;
/* END TYPEDEF uint LOC=/usr/include/x86_64-linux-gnu/sys/types.h:150 */

/* BEGIN FUNCTION-DECL-EXTERN l64a LOC=/usr/include/stdlib.h:505 VKEY=1117 */
#line 505 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) l64a)(long __n ) ;
/* END FUNCTION-DECL-EXTERN l64a LOC=/usr/include/stdlib.h:505 VKEY=1117 */

/* BEGIN FUNCTION-DECL-EXTERN exp2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=3407 */
#line 163 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) exp2f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN exp2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=3407 */

/* BEGIN FUNCTION-DECL-EXTERN __exp2m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=2648 */
#line 135
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __exp2m1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp2m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=2648 */

/* BEGIN FUNCTION-DECL sacaC LOC=UNKNOWN VKEY=4891 */
void sacaC(TCola *c , TElementoC *dato ) ;
/* END FUNCTION-DECL sacaC LOC=UNKNOWN VKEY=4891 */

/* BEGIN FUNCTION-DECL-EXTERN __rint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=2879 */
#line 292
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __rint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __rint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=2879 */

/* BEGIN FUNCTION-DECL-EXTERN __fmodf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=3467 */
#line 201
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __fmodf)(float __x ,
                                                                                float __y ) ;
/* END FUNCTION-DECL-EXTERN __fmodf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=3467 */

/* BEGIN STRUCT timeval LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h:8 14 */
#line 8 "/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h"
struct timeval {
   __time_t tv_sec ;
   __suseconds_t tv_usec ;
};
/* END STRUCT timeval LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h:8 14 */

/* BEGIN FUNCTION-DECL-EXTERN asinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=2579 */
#line 105 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) asinh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN asinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=2579 */

/* BEGIN FUNCTION-DECL-EXTERN __cbrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=3448 */
#line 185
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __cbrtf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __cbrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=3448 */

/* BEGIN FUNCTION-DECL-EXTERN sinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3257 */
#line 81
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) sinpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN sinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3257 */

/* BEGIN FUNCTION-DECL-EXTERN __sin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=2500 */
#line 64
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __sin)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __sin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=2500 */

/* BEGIN FUNCTION-DECL-EXTERN __sinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3974 */
#line 81
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __sinpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __sinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3974 */

/* BEGIN TYPEDEF ushort LOC=/usr/include/x86_64-linux-gnu/sys/types.h:149 */
#line 149 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef unsigned short ushort;
/* END TYPEDEF ushort LOC=/usr/include/x86_64-linux-gnu/sys/types.h:149 */

/* BEGIN TYPEDEF int_fast16_t LOC=/usr/include/stdint.h:49 */
#line 49 "/usr/include/stdint.h"
typedef long int_fast16_t;
/* END TYPEDEF int_fast16_t LOC=/usr/include/stdint.h:49 */

/* BEGIN ENUM-DECL __anonenum_1037408945 LOC=/usr/include/math.h:903 */
#line 903 "/usr/include/math.h"
enum __anonenum_1037408945 ;
/* END ENUM-DECL __anonenum_1037408945 LOC=/usr/include/math.h:903 */

/* BEGIN FUNCTION-DECL-EXTERN __fpclassifyf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=3154 */
#line 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __fpclassifyf)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __fpclassifyf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=3154 */

/* BEGIN FUNCTION-DECL-EXTERN iscntrl LOC=/usr/include/ctype.h:110 VKEY=4714 */
#line 110 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) iscntrl)(int  ) ;
/* END FUNCTION-DECL-EXTERN iscntrl LOC=/usr/include/ctype.h:110 VKEY=4714 */

/* BEGIN FUNCTION-DECL-EXTERN remove LOC=/usr/include/stdio.h:158 VKEY=1978 */
#line 158 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) remove)(char const   *__filename ) ;
/* END FUNCTION-DECL-EXTERN remove LOC=/usr/include/stdio.h:158 VKEY=1978 */

/* BEGIN FUNCTION-DECL-EXTERN __j0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=3509 */
#line 253 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __j0f)(float  ) ;
/* END FUNCTION-DECL-EXTERN __j0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=3509 */

/* BEGIN FUNCTION-DECL-EXTERN nexttowardl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=4322 */
#line 297
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) nexttowardl)(long double __x ,
                                                                                          long double __y ) ;
/* END FUNCTION-DECL-EXTERN nexttowardl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=4322 */

/* BEGIN FUNCTION-DECL-EXTERN fma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3030 */
#line 373
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fma)(double __x ,
                                                                             double __y ,
                                                                             double __z ) ;
/* END FUNCTION-DECL-EXTERN fma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3030 */

/* BEGIN FUNCTION-DECL-EXTERN __fmod LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=2753 */
#line 201
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __fmod)(double __x ,
                                                                                double __y ) ;
/* END FUNCTION-DECL-EXTERN __fmod LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=2753 */

/* BEGIN FUNCTION-DECL-EXTERN __coshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3272 */
#line 89
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __coshf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __coshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3272 */

/* BEGIN STRUCT _G_fpos64_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h:10 41 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h"
struct _G_fpos64_t {
   __off64_t __pos ;
   __mbstate_t __state ;
};
/* END STRUCT _G_fpos64_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h:10 41 */

/* BEGIN FUNCTION-DECL-EXTERN isnanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:246 VKEY=3503 */
#line 246 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isnanf)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN isnanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:246 VKEY=3503 */

/* BEGIN FUNCTION-DECL-EXTERN ungetc LOC=/usr/include/stdio.h:721 VKEY=2313 */
#line 721 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(2))) ungetc)(int __c , FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN ungetc LOC=/usr/include/stdio.h:721 VKEY=2313 */

/* BEGIN FUNCTION-DECL-EXTERN islower_l LOC=/usr/include/ctype.h:255 VKEY=4784 */
#line 255 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) islower_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN islower_l LOC=/usr/include/ctype.h:255 VKEY=4784 */

/* BEGIN FUNCTION-DECL-EXTERN roundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:334 VKEY=3676 */
#line 334 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) roundf)(float __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN roundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:334 VKEY=3676 */

/* BEGIN FUNCTION-DECL-EXTERN strcspn LOC=/usr/include/string.h:293 VKEY=1760 */
#line 293 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(1,2), __leaf__)) strcspn)(char const   *__s ,
                                                                                                   char const   *__reject )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcspn LOC=/usr/include/string.h:293 VKEY=1760 */

/* BEGIN FUNCTION-DECL-EXTERN vfscanf LOC=/usr/include/stdio.h:490 VKEY=2185 */
#line 490 "/usr/include/stdio.h"
extern int ( /* format attribute */ __attribute__((__nonnull__(1))) vfscanf)(FILE * __restrict  __s ,
                                                                             char const   * __restrict  __format ,
                                                                             __gnuc_va_list __arg )  __asm__("__isoc23_vfscanf")  ;
/* END FUNCTION-DECL-EXTERN vfscanf LOC=/usr/include/stdio.h:490 VKEY=2185 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:427 VKEY=3121 */
#line 427 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fminimum_num)(double __x ,
                                                                                      double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:427 VKEY=3121 */

/* BEGIN FUNCTION-DECL-EXTERN at_quick_exit LOC=/usr/include/stdlib.h:742 VKEY=1364 */
#line 742 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) at_quick_exit)(void (*__func)(void) ) ;
/* END FUNCTION-DECL-EXTERN at_quick_exit LOC=/usr/include/stdlib.h:742 VKEY=1364 */

/* BEGIN TYPEDEF quad_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:37 */
#line 37 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __quad_t quad_t;
/* END TYPEDEF quad_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:37 */

/* BEGIN FUNCTION-DECL-EXTERN __log2p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=2660 */
#line 141 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __log2p1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __log2p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=2660 */

/* BEGIN UNION-DECL __anonunion_pthread_rwlock_t_656928968 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:86 CKEY=30 */
#line 86 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_rwlock_t_656928968 ;
/* END UNION-DECL __anonunion_pthread_rwlock_t_656928968 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:86 CKEY=30 */

/* BEGIN FUNCTION-DECL-EXTERN seed48 LOC=/usr/include/stdlib.h:602 VKEY=1238 */
#line 602 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) unsigned short *( __attribute__((__nonnull__(1),
__leaf__)) seed48)(unsigned short *__seed16v ) ;
/* END FUNCTION-DECL-EXTERN seed48 LOC=/usr/include/stdlib.h:602 VKEY=1238 */

/* BEGIN STRUCT __anonstruct___sigset_t_783464054 LOC=/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h:5 13 */
#line 5 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h"
struct __anonstruct___sigset_t_783464054 {
   unsigned long __val[1024UL / (8UL * sizeof(unsigned long ))] ;
};
/* END STRUCT __anonstruct___sigset_t_783464054 LOC=/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h:5 13 */

/* BEGIN FUNCTION-DECL-EXTERN perror LOC=/usr/include/stdio.h:868 VKEY=2403 */
#line 868 "/usr/include/stdio.h"
extern void perror(char const   *__s )  __attribute__((__cold__)) ;
/* END FUNCTION-DECL-EXTERN perror LOC=/usr/include/stdio.h:868 VKEY=2403 */

/* BEGIN FUNCTION-DECL-EXTERN arc4random_uniform LOC=/usr/include/stdlib.h:666 VKEY=1303 */
#line 666 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) __uint32_t ( __attribute__((__leaf__)) arc4random_uniform)(__uint32_t __upper_bound ) ;
/* END FUNCTION-DECL-EXTERN arc4random_uniform LOC=/usr/include/stdlib.h:666 VKEY=1303 */

/* BEGIN FUNCTION-DECL-EXTERN strstr LOC=/usr/include/string.h:350 VKEY=1775 */
#line 350 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strstr)(char const   *__haystack ,
                                                                                                 char const   *__needle )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strstr LOC=/usr/include/string.h:350 VKEY=1775 */

/* BEGIN FUNCTION-DECL-EXTERN __cosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=2558 */
#line 89 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __cosh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __cosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=2558 */

/* BEGIN FUNCTION-DECL-EXTERN atanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=2585 */
#line 107
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) atanh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN atanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=2585 */

/* BEGIN FUNCTION-DECL-EXTERN ceill LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:192 VKEY=4165 */
#line 192
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) ceill)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ceill LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:192 VKEY=4165 */

/* BEGIN FUNCTION-DECL-EXTERN stpncpy LOC=/usr/include/string.h:499 VKEY=1948 */
#line 499 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) stpncpy)(char * __restrict  __dest ,
                                                                                                  char const   * __restrict  __src ,
                                                                                                  size_t __n ) ;
/* END FUNCTION-DECL-EXTERN stpncpy LOC=/usr/include/string.h:499 VKEY=1948 */

/* BEGIN FUNCTION-DECL-EXTERN isspace LOC=/usr/include/ctype.h:116 VKEY=4732 */
#line 116 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isspace)(int  ) ;
/* END FUNCTION-DECL-EXTERN isspace LOC=/usr/include/ctype.h:116 VKEY=4732 */

/* BEGIN FUNCTION-DECL-EXTERN __yn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=2833 */
#line 258 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __yn)(int  ,
                                                                              double  ) ;
/* END FUNCTION-DECL-EXTERN __yn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=2833 */

/* BEGIN FUNCTION-DECL-EXTERN floorf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:198 VKEY=3457 */
#line 198
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) floorf)(float __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN floorf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:198 VKEY=3457 */

/* BEGIN FUNCTION-DECL-EXTERN __cbrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=2734 */
#line 185
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __cbrt)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __cbrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=2734 */

/* BEGIN FUNCTION-DECL-EXTERN asinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=2515 */
#line 72
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) asinpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN asinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=2515 */

/* BEGIN FUNCTION-DECL-EXTERN strcasecmp LOC=/usr/include/strings.h:116 VKEY=1888 */
#line 116 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) strcasecmp)(char const   *__s1 ,
                                                                                                   char const   *__s2 )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcasecmp LOC=/usr/include/strings.h:116 VKEY=1888 */

/* BEGIN FUNCTION-DECL-EXTERN erand48_r LOC=/usr/include/stdlib.h:623 VKEY=1253 */
#line 623 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) erand48_r)(unsigned short *__xsubi ,
                                                                                                  struct drand48_data * __restrict  __buffer ,
                                                                                                  double * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN erand48_r LOC=/usr/include/stdlib.h:623 VKEY=1253 */

/* BEGIN TYPEDEF uint_fast16_t LOC=/usr/include/stdint.h:62 */
#line 62 "/usr/include/stdint.h"
typedef unsigned long uint_fast16_t;
/* END TYPEDEF uint_fast16_t LOC=/usr/include/stdint.h:62 */

/* BEGIN STRUCT-DECL __anonstruct_fd_set_356711149 LOC=/usr/include/x86_64-linux-gnu/sys/select.h:59 16 */
#line 59 "/usr/include/x86_64-linux-gnu/sys/select.h"
struct __anonstruct_fd_set_356711149 ;
/* END STRUCT-DECL __anonstruct_fd_set_356711149 LOC=/usr/include/x86_64-linux-gnu/sys/select.h:59 16 */

/* BEGIN FUNCTION-DECL-EXTERN __ctype_tolower_loc LOC=/usr/include/ctype.h:81 VKEY=4702 */
#line 81 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) __int32_t const   **( __attribute__((__leaf__)) __ctype_tolower_loc)(void)  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __ctype_tolower_loc LOC=/usr/include/ctype.h:81 VKEY=4702 */

/* BEGIN FUNCTION-DECL-EXTERN __nextafter LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=2889 */
#line 295 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __nextafter)(double __x ,
                                                                                     double __y ) ;
/* END FUNCTION-DECL-EXTERN __nextafter LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=2889 */

/* BEGIN STRUCT-DECL __anonstruct___value32_118117645 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 18 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h"
struct __anonstruct___value32_118117645 ;
/* END STRUCT-DECL __anonstruct___value32_118117645 LOC=/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h:25 18 */

/* BEGIN FUNCTION-DECL-EXTERN __ufromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3782 */
#line 387 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) __ufromfpf)(float __x ,
                                                                                         int __round ,
                                                                                         unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __ufromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3782 */

/* BEGIN FUNCTION-DECL-EXTERN __atan2pil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3962 */
#line 76
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __atan2pil)(long double __y ,
                                                                                         long double __x ) ;
/* END FUNCTION-DECL-EXTERN __atan2pil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3962 */

/* BEGIN FUNCTION-DECL-EXTERN __sinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3260 */
#line 81
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __sinpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __sinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3260 */

/* BEGIN TYPEDEF __fsblkcnt64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:185 */
#line 185 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __fsblkcnt64_t;
/* END TYPEDEF __fsblkcnt64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:185 */

/* BEGIN FUNCTION-DECL-EXTERN random LOC=/usr/include/stdlib.h:521 VKEY=1168 */
#line 521 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) random)(void) ;
/* END FUNCTION-DECL-EXTERN random LOC=/usr/include/stdlib.h:521 VKEY=1168 */

/* BEGIN FUNCTION-DECL-EXTERN __strtok_r LOC=/usr/include/string.h:361 VKEY=1787 */
#line 361 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(2,3), __leaf__)) __strtok_r)(char * __restrict  __s ,
                                                                                                     char const   * __restrict  __delim ,
                                                                                                     char ** __restrict  __save_ptr ) ;
/* END FUNCTION-DECL-EXTERN __strtok_r LOC=/usr/include/string.h:361 VKEY=1787 */

/* BEGIN FUNCTION-DECL-EXTERN putenv LOC=/usr/include/stdlib.h:786 VKEY=1388 */
#line 786 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) putenv)(char *__string ) ;
/* END FUNCTION-DECL-EXTERN putenv LOC=/usr/include/stdlib.h:786 VKEY=1388 */

/* BEGIN FUNCTION-DECL-EXTERN __tgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=4285 */
#line 271 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __tgammal)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __tgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=4285 */

/* BEGIN FUNCTION-DECL-EXTERN fprintf LOC=/usr/include/stdio.h:357 VKEY=2080 */
#line 357 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fprintf)(FILE * __restrict  __stream ,
                                                      char const   * __restrict  __format 
                                                      , ...) ;
/* END FUNCTION-DECL-EXTERN fprintf LOC=/usr/include/stdio.h:357 VKEY=2080 */

/* BEGIN TYPEDEF int_fast8_t LOC=/usr/include/stdint.h:47 */
#line 47 "/usr/include/stdint.h"
typedef signed char int_fast8_t;
/* END TYPEDEF int_fast8_t LOC=/usr/include/stdint.h:47 */

/* BEGIN FUNCTION-DECL-EXTERN __assert_perror_fail LOC=/usr/include/assert.h:74 VKEY=4857 */
#line 74 "/usr/include/assert.h"
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) __assert_perror_fail)(int __errnum ,
                                                                                                          char const   *__file ,
                                                                                                          unsigned int __line ,
                                                                                                          char const   *__function )  __attribute__((__cold__)) ;
/* END FUNCTION-DECL-EXTERN __assert_perror_fail LOC=/usr/include/assert.h:74 VKEY=4857 */

/* BEGIN FUNCTION-DECL-EXTERN __asinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3232 */
#line 72 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __asinpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __asinpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3232 */

/* BEGIN FUNCTION-DECL-EXTERN isnan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:246 VKEY=2789 */
#line 246
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isnan)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN isnan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:246 VKEY=2789 */

/* BEGIN FUNCTION-DECL-EXTERN llabs LOC=/usr/include/stdlib.h:984 VKEY=1454 */
#line 984 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llabs)(long long __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN llabs LOC=/usr/include/stdlib.h:984 VKEY=1454 */

/* BEGIN FUNCTION-DECL-EXTERN __log10p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=4094 */
#line 144 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __log10p1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __log10p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=4094 */

/* BEGIN FUNCTION-DECL-EXTERN strcasecmp_l LOC=/usr/include/strings.h:128 VKEY=1902 */
#line 128 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2,3), __leaf__)) strcasecmp_l)(char const   *__s1 ,
                                                                                                       char const   *__s2 ,
                                                                                                       locale_t __loc )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcasecmp_l LOC=/usr/include/strings.h:128 VKEY=1902 */

/* BEGIN TYPEDEF pthread_barrierattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:114 */
#line 114 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_barrierattr_t_951761806 pthread_barrierattr_t;
/* END TYPEDEF pthread_barrierattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:114 */

/* BEGIN FUNCTION-DECL-EXTERN __lround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=2997 */
#line 356 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __lround)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __lround LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=2997 */

/* BEGIN FUNCTION-DECL-EXTERN strtoll LOC=/usr/include/stdlib.h:201 VKEY=1038 */
#line 201 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__nonnull__(1), __leaf__)) strtoll)(char const   * __restrict  __nptr ,
                                                                                                    char ** __restrict  __endptr ,
                                                                                                    int __base )  __asm__("__isoc23_strtoll")  ;
/* END FUNCTION-DECL-EXTERN strtoll LOC=/usr/include/stdlib.h:201 VKEY=1038 */

/* BEGIN FUNCTION-DECL-EXTERN sinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3925 */
#line 64 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) sinl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN sinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=3925 */

/* BEGIN FUNCTION-DECL-EXTERN isalnum_l LOC=/usr/include/ctype.h:251 VKEY=4764 */
#line 251 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isalnum_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isalnum_l LOC=/usr/include/ctype.h:251 VKEY=4764 */

/* BEGIN FUNCTION-DECL-EXTERN __acosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3180 */
#line 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __acosf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __acosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3180 */

/* BEGIN FUNCTION-DECL-EXTERN puts LOC=/usr/include/stdio.h:714 VKEY=2308 */
#line 714 "/usr/include/stdio.h"
extern int puts(char const   *__s ) ;
/* END FUNCTION-DECL-EXTERN puts LOC=/usr/include/stdio.h:714 VKEY=2308 */

/* BEGIN FUNCTION-DECL-EXTERN scanf LOC=/usr/include/stdio.h:428 VKEY=2160 */
#line 428
extern int scanf(char const   * __restrict  __format  , ...)  __asm__("__isoc23_scanf")  ;
/* END FUNCTION-DECL-EXTERN scanf LOC=/usr/include/stdio.h:428 VKEY=2160 */

/* BEGIN FUNCTION-DECL-EXTERN srandom_r LOC=/usr/include/stdlib.h:557 VKEY=1191 */
#line 557 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(2), __leaf__)) srandom_r)(unsigned int __seed ,
                                                                                                struct random_data *__buf ) ;
/* END FUNCTION-DECL-EXTERN srandom_r LOC=/usr/include/stdlib.h:557 VKEY=1191 */

/* BEGIN FUNCTION-DECL-EXTERN __tolower_l LOC=/usr/include/ctype.h:267 VKEY=4824 */
#line 267 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __tolower_l)(int __c ,
                                                                                  locale_t __l ) ;
/* END FUNCTION-DECL-EXTERN __tolower_l LOC=/usr/include/ctype.h:267 VKEY=4824 */

/* BEGIN FUNCTION-DECL-EXTERN fsubl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:39 VKEY=4662 */
#line 39 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fsubl)(long double __x ,
                                                                              long double __y ) ;
/* END FUNCTION-DECL-EXTERN fsubl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:39 VKEY=4662 */

/* BEGIN FUNCTION-DECL-EXTERN erand48 LOC=/usr/include/stdlib.h:588 VKEY=1220 */
#line 588 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__nonnull__(1), __leaf__)) erand48)(unsigned short *__xsubi ) ;
/* END FUNCTION-DECL-EXTERN erand48 LOC=/usr/include/stdlib.h:588 VKEY=1220 */

/* BEGIN FUNCTION-DECL-EXTERN llrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=4416 */
#line 352 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llrintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN llrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=4416 */

/* BEGIN TYPEDEF int8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:24 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h"
typedef __int8_t int8_t;
/* END TYPEDEF int8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:24 */

/* BEGIN FUNCTION-DECL-EXTERN strtol LOC=/usr/include/stdlib.h:177 VKEY=1010 */
#line 177 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__nonnull__(1), __leaf__)) strtol)(char const   * __restrict  __nptr ,
                                                                                              char ** __restrict  __endptr ,
                                                                                              int __base )  __asm__("__isoc23_strtol")  ;
/* END FUNCTION-DECL-EXTERN strtol LOC=/usr/include/stdlib.h:177 VKEY=1010 */

/* BEGIN STRUCT drand48_data LOC=/usr/include/stdlib.h:610 35 */
#line 610 "/usr/include/stdlib.h"
struct drand48_data {
   unsigned short __x[3] ;
   unsigned short __old_x[3] ;
   unsigned short __c ;
   unsigned short __init ;
   unsigned long long __a ;
};
/* END STRUCT drand48_data LOC=/usr/include/stdlib.h:610 35 */

/* BEGIN TYPEDEF __intptr_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:207 */
#line 207 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __intptr_t;
/* END TYPEDEF __intptr_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:207 */

/* BEGIN FUNCTION-DECL-EXTERN fsqrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:36 VKEY=4627 */
#line 36 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fsqrt)(double __x ) ;
/* END FUNCTION-DECL-EXTERN fsqrt LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:36 VKEY=4627 */

/* BEGIN FUNCTION-DECL-EXTERN qecvt_r LOC=/usr/include/stdlib.h:1049 VKEY=1558 */
#line 1049 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3,4,5), __leaf__)) qecvt_r)(long double __value ,
                                                                                                  int __ndigit ,
                                                                                                  int * __restrict  __decpt ,
                                                                                                  int * __restrict  __sign ,
                                                                                                  char * __restrict  __buf ,
                                                                                                  size_t __len ) ;
/* END FUNCTION-DECL-EXTERN qecvt_r LOC=/usr/include/stdlib.h:1049 VKEY=1558 */

/* BEGIN TYPEDEF pthread_key_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:49 */
#line 49 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef unsigned int pthread_key_t;
/* END TYPEDEF pthread_key_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:49 */

/* BEGIN FUNCTION-DECL-EXTERN fopen LOC=/usr/include/stdio.h:264 VKEY=2020 */
#line 264 "/usr/include/stdio.h"
extern FILE *fopen(char const   * __restrict  __filename , char const   * __restrict  __modes )  __attribute__((__malloc__(fclose,1),
__malloc__)) ;
/* END FUNCTION-DECL-EXTERN fopen LOC=/usr/include/stdio.h:264 VKEY=2020 */

/* BEGIN UNION pthread_attr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:56 CKEY=27 */
#line 56 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union pthread_attr_t {
   char __size[56] ;
   long __align ;
};
/* END UNION pthread_attr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:56 CKEY=27 */

/* BEGIN FUNCTION-DECL-EXTERN llogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=4368 */
#line 321 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) llogbl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN llogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=4368 */

/* BEGIN FUNCTION-DECL-EXTERN remainderl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=4344 */
#line 308
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) remainderl)(long double __x ,
                                                                                         long double __y ) ;
/* END FUNCTION-DECL-EXTERN remainderl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=4344 */

/* BEGIN FUNCTION-DECL-EXTERN __ldexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=2614 */
#line 119
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __ldexp)(double __x ,
                                                                                 int __exponent ) ;
/* END FUNCTION-DECL-EXTERN __ldexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=2614 */

/* BEGIN FUNCTION-DECL-EXTERN __erfc LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=2845 */
#line 265
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __erfc)(double  ) ;
/* END FUNCTION-DECL-EXTERN __erfc LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=2845 */

/* BEGIN FUNCTION-DECL-EXTERN __tgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=2857 */
#line 271
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __tgamma)(double  ) ;
/* END FUNCTION-DECL-EXTERN __tgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=2857 */

/* BEGIN FUNCTION-DECL-EXTERN getsubopt LOC=/usr/include/stdlib.h:1099 VKEY=1612 */
#line 1099 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2,3), __leaf__)) getsubopt)(char ** __restrict  __optionp ,
                                                                                                    char ** __restrict  __tokens ,
                                                                                                    char ** __restrict  __valuep ) ;
/* END FUNCTION-DECL-EXTERN getsubopt LOC=/usr/include/stdlib.h:1099 VKEY=1612 */

/* BEGIN FUNCTION-DECL-EXTERN arc4random LOC=/usr/include/stdlib.h:657 VKEY=1295 */
#line 657
extern  __attribute__((__nothrow__)) __uint32_t ( __attribute__((__leaf__)) arc4random)(void) ;
/* END FUNCTION-DECL-EXTERN arc4random LOC=/usr/include/stdlib.h:657 VKEY=1295 */

/* BEGIN FUNCTION-DECL-EXTERN tanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3977 */
#line 83 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) tanpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN tanpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3977 */

/* BEGIN FUNCTION-DECL-EXTERN gcvt LOC=/usr/include/stdlib.h:1024 VKEY=1494 */
#line 1024 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(3), __leaf__)) gcvt)(double __value ,
                                                                                             int __ndigit ,
                                                                                             char *__buf ) ;
/* END FUNCTION-DECL-EXTERN gcvt LOC=/usr/include/stdlib.h:1024 VKEY=1494 */

/* BEGIN FUNCTION-DECL-EXTERN lrand48 LOC=/usr/include/stdlib.h:591 VKEY=1223 */
#line 591
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lrand48)(void) ;
/* END FUNCTION-DECL-EXTERN lrand48 LOC=/usr/include/stdlib.h:591 VKEY=1223 */

/* BEGIN FUNCTION-DECL-EXTERN atanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=2521 */
#line 74 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) atanpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN atanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=2521 */

/* BEGIN FUNCTION-DECL-EXTERN __j1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=4229 */
#line 254
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __j1l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN __j1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=4229 */

/* BEGIN FUNCTION-DECL-EXTERN __powl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=4140 */
#line 173
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __powl)(long double __x ,
                                                                                     long double __y ) ;
/* END FUNCTION-DECL-EXTERN __powl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=4140 */

/* BEGIN UNION __anonunion_pthread_mutex_t_335460617 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:67 CKEY=28 */
#line 67 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_mutex_t_335460617 {
   struct __pthread_mutex_s __data ;
   char __size[40] ;
   long __align ;
};
/* END UNION __anonunion_pthread_mutex_t_335460617 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:67 CKEY=28 */

/* BEGIN ENUM __anonenum_1037408945 LOC=/usr/include/math.h:903 */
#line 903 "/usr/include/math.h"
enum __anonenum_1037408945 {
    FP_NAN = 0,
    FP_INFINITE = 1,
    FP_ZERO = 2,
    FP_SUBNORMAL = 3,
    FP_NORMAL = 4
} ;
/* END ENUM __anonenum_1037408945 LOC=/usr/include/math.h:903 */

/* BEGIN FUNCTION-DECL-EXTERN fmaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3744 */
#line 373 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmaf)(float __x ,
                                                                             float __y ,
                                                                             float __z ) ;
/* END FUNCTION-DECL-EXTERN fmaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=3744 */

/* BEGIN FUNCTION-DECL-EXTERN __lrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=4413 */
#line 350
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __lrintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __lrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=4413 */

/* BEGIN FUNCTION-DECL-EXTERN __tgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=3571 */
#line 271
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __tgammaf)(float  ) ;
/* END FUNCTION-DECL-EXTERN __tgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=3571 */

/* BEGIN FUNCTION-DECL-EXTERN getloadavg LOC=/usr/include/stdlib.h:1145 VKEY=1617 */
#line 1145 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) getloadavg)(double *__loadavg ,
                                                                                                 int __nelem ) ;
/* END FUNCTION-DECL-EXTERN getloadavg LOC=/usr/include/stdlib.h:1145 VKEY=1617 */

/* BEGIN FUNCTION-DECL-EXTERN lcong48_r LOC=/usr/include/stdlib.h:652 VKEY=1292 */
#line 652
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) lcong48_r)(unsigned short *__param ,
                                                                                                  struct drand48_data *__buffer ) ;
/* END FUNCTION-DECL-EXTERN lcong48_r LOC=/usr/include/stdlib.h:652 VKEY=1292 */

/* BEGIN FUNCTION-DECL-EXTERN nextdownf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=3616 */
#line 302 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) nextdownf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN nextdownf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=3616 */

/* BEGIN FUNCTION-DECL-EXTERN alloca LOC=/usr/include/alloca.h:32 VKEY=1336 */
#line 32 "/usr/include/alloca.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__leaf__)) alloca)(size_t __size ) ;
/* END FUNCTION-DECL-EXTERN alloca LOC=/usr/include/alloca.h:32 VKEY=1336 */

/* BEGIN TYPEDEF uint_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:33 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __uint_least32_t uint_least32_t;
/* END TYPEDEF uint_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:33 */

/* BEGIN TYPEDEF uintmax_t LOC=/usr/include/stdint.h:91 */
#line 91 "/usr/include/stdint.h"
typedef __uintmax_t uintmax_t;
/* END TYPEDEF uintmax_t LOC=/usr/include/stdint.h:91 */

/* BEGIN FUNCTION-DECL-EXTERN nrand48 LOC=/usr/include/stdlib.h:592 VKEY=1226 */
#line 592 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__nonnull__(1), __leaf__)) nrand48)(unsigned short *__xsubi ) ;
/* END FUNCTION-DECL-EXTERN nrand48 LOC=/usr/include/stdlib.h:592 VKEY=1226 */

/* BEGIN FUNCTION-DECL-EXTERN __fdimf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3727 */
#line 362 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __fdimf)(float __x ,
                                                                                float __y ) ;
/* END FUNCTION-DECL-EXTERN __fdimf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:362 VKEY=3727 */

/* BEGIN TYPEDEF pthread_once_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:53 */
#line 53 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef int pthread_once_t;
/* END TYPEDEF pthread_once_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:53 */

/* BEGIN TYPEDEF ssize_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:108 */
#line 108 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __ssize_t ssize_t;
/* END TYPEDEF ssize_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:108 */

/* BEGIN FUNCTION-DECL-EXTERN __signbitf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=3157 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __signbitf)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __signbitf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=3157 */

/* BEGIN FUNCTION-DECL-EXTERN lrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=3696 */
#line 350 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lrintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN lrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=3696 */

/* BEGIN FUNCTION-DECL-EXTERN y0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=4242 */
#line 256
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) y0l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN y0l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=4242 */

/* BEGIN TYPEDEF uintptr_t LOC=/usr/include/stdint.h:79 */
#line 79 "/usr/include/stdint.h"
typedef unsigned long uintptr_t;
/* END TYPEDEF uintptr_t LOC=/usr/include/stdint.h:79 */

/* BEGIN FUNCTION-DECL-EXTERN vfprintf LOC=/usr/include/stdio.h:372 VKEY=2095 */
#line 372 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) vfprintf)(FILE * __restrict  __s , char const   * __restrict  __format ,
                                                       __gnuc_va_list __arg ) ;
/* END FUNCTION-DECL-EXTERN vfprintf LOC=/usr/include/stdio.h:372 VKEY=2095 */

/* BEGIN FUNCTION-DECL-EXTERN vsnprintf LOC=/usr/include/stdio.h:389 VKEY=2123 */
#line 389
extern  __attribute__((__nothrow__)) int ( /* format attribute */  vsnprintf)(char * __restrict  __s ,
                                                                              size_t __maxlen ,
                                                                              char const   * __restrict  __format ,
                                                                              __gnuc_va_list __arg ) ;
/* END FUNCTION-DECL-EXTERN vsnprintf LOC=/usr/include/stdio.h:389 VKEY=2123 */

/* BEGIN FUNCTION-DECL-EXTERN vasprintf LOC=/usr/include/stdio.h:397 VKEY=2130 */
#line 397
extern  __attribute__((__nothrow__)) int ( /* format attribute */  vasprintf)(char ** __restrict  __ptr ,
                                                                              char const   * __restrict  __f ,
                                                                              __gnuc_va_list __arg ) ;
/* END FUNCTION-DECL-EXTERN vasprintf LOC=/usr/include/stdio.h:397 VKEY=2130 */

/* BEGIN FUNCTION-DECL-EXTERN bsearch LOC=/usr/include/stdlib.h:960 VKEY=1436 */
#line 960 "/usr/include/stdlib.h"
extern void *( __attribute__((__nonnull__(1,2,5))) bsearch)(void const   *__key ,
                                                            void const   *__base ,
                                                            size_t __nmemb , size_t __size ,
                                                            int (*__compar)(void const   * ,
                                                                            void const   * ) ) ;
/* END FUNCTION-DECL-EXTERN bsearch LOC=/usr/include/stdlib.h:960 VKEY=1436 */

/* BEGIN FUNCTION-DECL-EXTERN llogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=2940 */
#line 321 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) llogb)(double __x ) ;
/* END FUNCTION-DECL-EXTERN llogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=2940 */

/* BEGIN FUNCTION-DECL-EXTERN rintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=3590 */
#line 292
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) rintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN rintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=3590 */

/* BEGIN FUNCTION-DECL-EXTERN isalnum LOC=/usr/include/ctype.h:108 VKEY=4708 */
#line 108 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isalnum)(int  ) ;
/* END FUNCTION-DECL-EXTERN isalnum LOC=/usr/include/ctype.h:108 VKEY=4708 */

/* BEGIN TYPEDEF uint_fast8_t LOC=/usr/include/stdint.h:60 */
#line 60 "/usr/include/stdint.h"
typedef unsigned char uint_fast8_t;
/* END TYPEDEF uint_fast8_t LOC=/usr/include/stdint.h:60 */

/* BEGIN TYPEDEF uint_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:34 */
#line 34 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __uint_least64_t uint_least64_t;
/* END TYPEDEF uint_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:34 */

/* BEGIN FUNCTION-DECL-EXTERN __asinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3900 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __asinl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __asinl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3900 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_mag_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:436 VKEY=3850 */
#line 436
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmaximum_mag_numf)(float __x ,
                                                                                          float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_mag_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:436 VKEY=3850 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_mag_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:439 VKEY=3141 */
#line 439
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fminimum_mag_num)(double __x ,
                                                                                          double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_mag_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:439 VKEY=3141 */

/* BEGIN FUNCTION-DECL-EXTERN qfcvt LOC=/usr/include/stdlib.h:1033 VKEY=1512 */
#line 1033 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(3,4), __leaf__)) qfcvt)(long double __value ,
                                                                                                int __ndigit ,
                                                                                                int * __restrict  __decpt ,
                                                                                                int * __restrict  __sign ) ;
/* END FUNCTION-DECL-EXTERN qfcvt LOC=/usr/include/stdlib.h:1033 VKEY=1512 */

/* BEGIN TYPEDEF fsid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:39 */
#line 39 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __fsid_t fsid_t;
/* END TYPEDEF fsid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:39 */

/* BEGIN FUNCTION-DECL-EXTERN gammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=4288 */
#line 277 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) gammal)(long double  ) ;
/* END FUNCTION-DECL-EXTERN gammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=4288 */

/* BEGIN FUNCTION-DECL __uint64_identity LOC=UNKNOWN VKEY=1139 */
__inline static __uint64_t __uint64_identity(__uint64_t __x ) ;
/* END FUNCTION-DECL __uint64_identity LOC=UNKNOWN VKEY=1139 */

/* BEGIN FUNCTION-DECL-EXTERN mkdtemp LOC=/usr/include/stdlib.h:870 VKEY=1415 */
#line 870 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) mkdtemp)(char *__template ) ;
/* END FUNCTION-DECL-EXTERN mkdtemp LOC=/usr/include/stdlib.h:870 VKEY=1415 */

/* BEGIN FUNCTION-DECL-EXTERN exp10m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=2651 */
#line 138 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) exp10m1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN exp10m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=2651 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:427 VKEY=3835 */
#line 427
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fminimum_numf)(float __x ,
                                                                                      float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:427 VKEY=3835 */

/* BEGIN FUNCTION-DECL-EXTERN dmull LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:33 VKEY=4684 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) dmull)(long double __x ,
                                                                               long double __y ) ;
/* END FUNCTION-DECL-EXTERN dmull LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:33 VKEY=4684 */

/* BEGIN FUNCTION-DECL-EXTERN __isinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=2446 */
#line 29 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isinf)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=2446 */

/* BEGIN STRUCT-DECL __anonstruct_lldiv_t_103911545 LOC=/usr/include/stdlib.h:77 11 */
#line 77 "/usr/include/stdlib.h"
struct __anonstruct_lldiv_t_103911545 ;
/* END STRUCT-DECL __anonstruct_lldiv_t_103911545 LOC=/usr/include/stdlib.h:77 11 */

/* BEGIN FUNCTION-DECL-EXTERN system LOC=/usr/include/stdlib.h:923 VKEY=1418 */
#line 923
extern int system(char const   *__command ) ;
/* END FUNCTION-DECL-EXTERN system LOC=/usr/include/stdlib.h:923 VKEY=1418 */

/* BEGIN FUNCTION-DECL-EXTERN exp10m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=3365 */
#line 138 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) exp10m1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN exp10m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=3365 */

/* BEGIN TYPEDEF pid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:97 */
#line 97 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __pid_t pid_t;
/* END TYPEDEF pid_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:97 */

/* BEGIN FUNCTION-DECL-EXTERN __assert LOC=/usr/include/assert.h:81 VKEY=4864 */
#line 81 "/usr/include/assert.h"
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) __assert)(char const   *__assertion ,
                                                                                              char const   *__file ,
                                                                                              int __line )  __attribute__((__cold__)) ;
/* END FUNCTION-DECL-EXTERN __assert LOC=/usr/include/assert.h:81 VKEY=4864 */

/* BEGIN FUNCTION-DECL-EXTERN mbstowcs LOC=/usr/include/stdlib.h:1073 VKEY=1595 */
#line 1073 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__leaf__)) mbstowcs)(wchar_t * __restrict  __pwcs ,
                                                                                  char const   * __restrict  __s ,
                                                                                  size_t __n )  __attribute__((__access__(__read_only__,2))) ;
/* END FUNCTION-DECL-EXTERN mbstowcs LOC=/usr/include/stdlib.h:1073 VKEY=1595 */

/* BEGIN FUNCTION-DECL-EXTERN __jn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=2811 */
#line 255 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __jn)(int  ,
                                                                              double  ) ;
/* END FUNCTION-DECL-EXTERN __jn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=2811 */

/* BEGIN FUNCTION-DECL-EXTERN fmull LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:33 VKEY=4654 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmull)(long double __x ,
                                                                              long double __y ) ;
/* END FUNCTION-DECL-EXTERN fmull LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:33 VKEY=4654 */

/* BEGIN FUNCTION-DECL-EXTERN __mempcpy LOC=/usr/include/string.h:397 VKEY=1815 */
#line 397 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1,2), __leaf__)) __mempcpy)(void * __restrict  __dest ,
                                                                                                    void const   * __restrict  __src ,
                                                                                                    size_t __n ) ;
/* END FUNCTION-DECL-EXTERN __mempcpy LOC=/usr/include/string.h:397 VKEY=1815 */

/* BEGIN TYPEDEF pthread_condattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:41 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_condattr_t_488594145 pthread_condattr_t;
/* END TYPEDEF pthread_condattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:41 */

/* BEGIN FUNCTION-DECL-EXTERN isxdigit_l LOC=/usr/include/ctype.h:261 VKEY=4814 */
#line 261 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isxdigit_l)(int  ,
                                                                                 locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isxdigit_l LOC=/usr/include/ctype.h:261 VKEY=4814 */

/* BEGIN STRUCT-DECL __anonstruct___fsid_t_109580352 LOC=/usr/include/x86_64-linux-gnu/bits/types.h:155 12 */
#line 155 "/usr/include/x86_64-linux-gnu/bits/types.h"
struct __anonstruct___fsid_t_109580352 ;
/* END STRUCT-DECL __anonstruct___fsid_t_109580352 LOC=/usr/include/x86_64-linux-gnu/bits/types.h:155 12 */

/* BEGIN FUNCTION-DECL-EXTERN strxfrm LOC=/usr/include/string.h:166 VKEY=1716 */
#line 166 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(2), __leaf__)) strxfrm)(char * __restrict  __dest ,
                                                                                                 char const   * __restrict  __src ,
                                                                                                 size_t __n )  __attribute__((__access__(__write_only__,1,3))) ;
/* END FUNCTION-DECL-EXTERN strxfrm LOC=/usr/include/string.h:166 VKEY=1716 */

/* BEGIN FUNCTION-DECL-EXTERN acos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=2463 */
#line 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) acos)(double __x ) ;
/* END FUNCTION-DECL-EXTERN acos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=2463 */

/* BEGIN FUNCTION-DECL __bswap_64 LOC=UNKNOWN VKEY=1129 */
__inline static __uint64_t __bswap_64(__uint64_t __bsx ) ;
/* END FUNCTION-DECL __bswap_64 LOC=UNKNOWN VKEY=1129 */

/* BEGIN FUNCTION-DECL-EXTERN __cospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=2540 */
#line 79
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __cospi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __cospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=2540 */

/* BEGIN FUNCTION-DECL-EXTERN __cosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3208 */
#line 62
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __cosf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __cosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3208 */

/* BEGIN FUNCTION-DECL-EXTERN toupper_l LOC=/usr/include/ctype.h:272 VKEY=4839 */
#line 272 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) toupper_l)(int __c ,
                                                                                locale_t __l ) ;
/* END FUNCTION-DECL-EXTERN toupper_l LOC=/usr/include/ctype.h:272 VKEY=4839 */

/* BEGIN FUNCTION-DECL-EXTERN acospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3937 */
#line 70 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) acospil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN acospil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3937 */

/* BEGIN FUNCTION-DECL-EXTERN setenv LOC=/usr/include/stdlib.h:792 VKEY=1395 */
#line 792 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(2), __leaf__)) setenv)(char const   *__name ,
                                                                                             char const   *__value ,
                                                                                             int __replace ) ;
/* END FUNCTION-DECL-EXTERN setenv LOC=/usr/include/stdlib.h:792 VKEY=1395 */

/* BEGIN TYPEDEF int_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:26 */
#line 26 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __int_least16_t int_least16_t;
/* END TYPEDEF int_least16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:26 */

/* BEGIN FUNCTION-DECL-EXTERN __atan2pif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3248 */
#line 76 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __atan2pif)(float __y ,
                                                                                   float __x ) ;
/* END FUNCTION-DECL-EXTERN __atan2pif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3248 */

/* BEGIN FUNCTION-DECL-EXTERN realpath LOC=/usr/include/stdlib.h:940 VKEY=1423 */
#line 940 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) realpath)(char const   * __restrict  __name ,
                                                                                 char * __restrict  __resolved ) ;
/* END FUNCTION-DECL-EXTERN realpath LOC=/usr/include/stdlib.h:940 VKEY=1423 */

/* BEGIN FUNCTION-DECL-EXTERN abort LOC=/usr/include/stdlib.h:730 VKEY=1354 */
#line 730
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) abort)(void)  __attribute__((__cold__)) ;
/* END FUNCTION-DECL-EXTERN abort LOC=/usr/include/stdlib.h:730 VKEY=1354 */

/* BEGIN FUNCTION-DECL-EXTERN vsprintf LOC=/usr/include/stdio.h:380 VKEY=2107 */
#line 380 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int vsprintf(char * __restrict  __s , char const   * __restrict  __format ,
                                                  __gnuc_va_list __arg ) ;
/* END FUNCTION-DECL-EXTERN vsprintf LOC=/usr/include/stdio.h:380 VKEY=2107 */

/* BEGIN FUNCTION-DECL-EXTERN llroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3714 */
#line 358 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) llroundf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN llroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:358 VKEY=3714 */

/* BEGIN FUNCTION-DECL-EXTERN ldiv LOC=/usr/include/stdlib.h:994 VKEY=1464 */
#line 994 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) ldiv_t ( __attribute__((__leaf__)) ldiv)(long __numer ,
                                                                              long __denom )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ldiv LOC=/usr/include/stdlib.h:994 VKEY=1464 */

/* BEGIN TYPEDEF pthread_rwlock_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:86 */
#line 86 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_rwlock_t_656928968 pthread_rwlock_t;
/* END TYPEDEF pthread_rwlock_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:86 */

/* BEGIN FUNCTION-DECL-EXTERN setstate LOC=/usr/include/stdlib.h:535 VKEY=1181 */
#line 535 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) setstate)(char *__statebuf ) ;
/* END FUNCTION-DECL-EXTERN setstate LOC=/usr/include/stdlib.h:535 VKEY=1181 */

/* BEGIN FUNCTION-DECL-EXTERN jn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=2806 */
#line 255 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) jn)(int  ,
                                                                            double  ) ;
/* END FUNCTION-DECL-EXTERN jn LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=2806 */

/* BEGIN STRUCT-DECL _IO_cookie_io_functions_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:55 46 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h"
struct _IO_cookie_io_functions_t ;
/* END STRUCT-DECL _IO_cookie_io_functions_t LOC=/usr/include/x86_64-linux-gnu/bits/types/cookie_io_functions_t.h:55 46 */

/* BEGIN FUNCTION-DECL-EXTERN renameat LOC=/usr/include/stdio.h:164 VKEY=1992 */
#line 164 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) renameat)(int __oldfd ,
                                                                               char const   *__old ,
                                                                               int __newfd ,
                                                                               char const   *__new ) ;
/* END FUNCTION-DECL-EXTERN renameat LOC=/usr/include/stdio.h:164 VKEY=1992 */

/* BEGIN FUNCTION-DECL-EXTERN __isnanf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=4594 */
#line 37 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isnanf128)(_Float128 __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isnanf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=4594 */

/* BEGIN FUNCTION-DECL-EXTERN isprint_l LOC=/usr/include/ctype.h:257 VKEY=4794 */
#line 257 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isprint_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN isprint_l LOC=/usr/include/ctype.h:257 VKEY=4794 */

/* BEGIN FUNCTION-DECL-EXTERN fmaxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:366 VKEY=4446 */
#line 366 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmaxl)(long double __x ,
                                                                                    long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:366 VKEY=4446 */

/* BEGIN FUNCTION-DECL-EXTERN nrand48_r LOC=/usr/include/stdlib.h:631 VKEY=1265 */
#line 631 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) nrand48_r)(unsigned short *__xsubi ,
                                                                                                  struct drand48_data * __restrict  __buffer ,
                                                                                                  long * __restrict  __result ) ;
/* END FUNCTION-DECL-EXTERN nrand48_r LOC=/usr/include/stdlib.h:631 VKEY=1265 */

/* BEGIN FUNCTION-DECL-EXTERN exp10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=3353 */
#line 132 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) exp10f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN exp10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=3353 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_mag_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:436 VKEY=4564 */
#line 436
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmaximum_mag_numl)(long double __x ,
                                                                                                long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_mag_numl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:436 VKEY=4564 */

/* BEGIN FUNCTION-DECL-EXTERN fputs LOC=/usr/include/stdio.h:707 VKEY=2305 */
#line 707 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(2))) fputs)(char const   * __restrict  __s ,
                                                    FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN fputs LOC=/usr/include/stdio.h:707 VKEY=2305 */

/* BEGIN TYPEDEF __syscall_ulong_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:199 */
#line 199 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __syscall_ulong_t;
/* END TYPEDEF __syscall_ulong_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:199 */

/* BEGIN FUNCTION-DECL-EXTERN __nexttowardf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=3613 */
#line 297 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __nexttowardf)(float __x ,
                                                                                      long double __y ) ;
/* END FUNCTION-DECL-EXTERN __nexttowardf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=3613 */

/* BEGIN FUNCTION-DECL-EXTERN fwrite_unlocked LOC=/usr/include/stdio.h:759 VKEY=2349 */
#line 759 "/usr/include/stdio.h"
extern size_t ( __attribute__((__nonnull__(4))) fwrite_unlocked)(void const   * __restrict  __ptr ,
                                                                 size_t __size , size_t __n ,
                                                                 FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN fwrite_unlocked LOC=/usr/include/stdio.h:759 VKEY=2349 */

/* BEGIN FUNCTION-DECL-EXTERN jnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=3520 */
#line 255 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) jnf)(int  ,
                                                                            float  ) ;
/* END FUNCTION-DECL-EXTERN jnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=3520 */

/* BEGIN FUNCTION-DECL-EXTERN __isnan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=2452 */
#line 37 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isnan)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isnan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=2452 */

/* BEGIN VARIABLE-DEF _TIG_IZ_Gv2W_argv LOC=UNKNOWN VKEY=4883 */
char **_TIG_IZ_Gv2W_argv  ;
/* END VARIABLE-DEF _TIG_IZ_Gv2W_argv LOC=UNKNOWN VKEY=4883 */

/* BEGIN FUNCTION-DECL-EXTERN __cos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=2494 */
#line 62 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __cos)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __cos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=2494 */

/* BEGIN FUNCTION-DECL-EXTERN srand48 LOC=/usr/include/stdlib.h:601 VKEY=1235 */
#line 601 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__leaf__)) srand48)(long __seedval ) ;
/* END FUNCTION-DECL-EXTERN srand48 LOC=/usr/include/stdlib.h:601 VKEY=1235 */

/* BEGIN FUNCTION-DECL-EXTERN atan2pi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=2529 */
#line 76 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) atan2pi)(double __y ,
                                                                                 double __x ) ;
/* END FUNCTION-DECL-EXTERN atan2pi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=2529 */

/* BEGIN UNION __anonunion_pthread_rwlockattr_t_145707745 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:93 CKEY=31 */
#line 93 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_rwlockattr_t_145707745 {
   char __size[8] ;
   long __align ;
};
/* END UNION __anonunion_pthread_rwlockattr_t_145707745 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:93 CKEY=31 */

/* BEGIN FUNCTION-DECL-EXTERN j1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=2798 */
#line 254 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) j1)(double  ) ;
/* END FUNCTION-DECL-EXTERN j1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=2798 */

/* BEGIN FUNCTION-DECL-EXTERN __exp10m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=3368 */
#line 138
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __exp10m1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __exp10m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=3368 */

/* BEGIN FUNCTION-DECL-EXTERN __atanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=2524 */
#line 74
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __atanpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __atanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:74 VKEY=2524 */

/* BEGIN FUNCTION-DECL-EXTERN exp10m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=4079 */
#line 138
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) exp10m1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN exp10m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=4079 */

/* BEGIN TYPEDEF ino_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:47 */
#line 47 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __ino_t ino_t;
/* END TYPEDEF ino_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:47 */

/* BEGIN TYPEDEF __FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/__FILE.h:5 */
#line 5 "/usr/include/x86_64-linux-gnu/bits/types/__FILE.h"
typedef struct _IO_FILE __FILE;
/* END TYPEDEF __FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/__FILE.h:5 */

/* BEGIN FUNCTION-DECL-EXTERN getenv LOC=/usr/include/stdlib.h:773 VKEY=1385 */
#line 773 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) getenv)(char const   *__name ) ;
/* END FUNCTION-DECL-EXTERN getenv LOC=/usr/include/stdlib.h:773 VKEY=1385 */

/* BEGIN FUNCTION-DECL-EXTERN strcoll LOC=/usr/include/string.h:163 VKEY=1709 */
#line 163 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) strcoll)(char const   *__s1 ,
                                                                                                char const   *__s2 )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcoll LOC=/usr/include/string.h:163 VKEY=1709 */

/* BEGIN FUNCTION-DECL-EXTERN __log1pl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=4112 */
#line 155 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __log1pl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __log1pl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=4112 */

/* BEGIN FUNCTION-DECL-EXTERN strpbrk LOC=/usr/include/string.h:323 VKEY=1770 */
#line 323 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strpbrk)(char const   *__s ,
                                                                                                  char const   *__accept )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strpbrk LOC=/usr/include/string.h:323 VKEY=1770 */

/* BEGIN FUNCTION-DECL-EXTERN y1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=3534 */
#line 257 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) y1f)(float  ) ;
/* END FUNCTION-DECL-EXTERN y1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=3534 */

/* BEGIN FUNCTION-DECL-EXTERN __logp1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=2672 */
#line 147
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __logp1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __logp1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=2672 */

/* BEGIN TYPEDEF fsblkcnt_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:196 */
#line 196 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __fsblkcnt_t fsblkcnt_t;
/* END TYPEDEF fsblkcnt_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:196 */

/* BEGIN FUNCTION-DECL-EXTERN __asinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3946 */
#line 72 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __asinpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __asinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:72 VKEY=3946 */

/* BEGIN FUNCTION-DECL-EXTERN lgammal_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=4296 */
#line 285
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) lgammal_r)(long double  ,
                                                                                        int *__signgamp ) ;
/* END FUNCTION-DECL-EXTERN lgammal_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=4296 */

/* BEGIN FUNCTION-DECL-EXTERN tanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=2549 */
#line 83
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) tanpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN tanpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=2549 */

/* BEGIN FUNCTION-DECL-EXTERN qgcvt LOC=/usr/include/stdlib.h:1036 VKEY=1519 */
#line 1036 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(3), __leaf__)) qgcvt)(long double __value ,
                                                                                              int __ndigit ,
                                                                                              char *__buf ) ;
/* END FUNCTION-DECL-EXTERN qgcvt LOC=/usr/include/stdlib.h:1036 VKEY=1519 */

/* BEGIN VARIABLE-DECL-EXTERN stdout LOC=/usr/include/stdio.h:150 VKEY=1974 */
#line 150 "/usr/include/stdio.h"
extern FILE *stdout ;
/* END VARIABLE-DECL-EXTERN stdout LOC=/usr/include/stdio.h:150 VKEY=1974 */

/* BEGIN FUNCTION-DECL-EXTERN __jnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=3525 */
#line 255 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __jnf)(int  ,
                                                                              float  ) ;
/* END FUNCTION-DECL-EXTERN __jnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=3525 */

/* BEGIN TYPEDEF int_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:27 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __int_least32_t int_least32_t;
/* END TYPEDEF int_least32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:27 */

/* BEGIN FUNCTION-DECL-EXTERN strnlen LOC=/usr/include/string.h:413 VKEY=1830 */
#line 413 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(1), __leaf__)) strnlen)(char const   *__string ,
                                                                                                 size_t __maxlen )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strnlen LOC=/usr/include/string.h:413 VKEY=1830 */

/* BEGIN STRUCT __anonstruct___once_flag_783464055 LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:109 24 */
#line 109 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __anonstruct___once_flag_783464055 {
   int __data ;
};
/* END STRUCT __anonstruct___once_flag_783464055 LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:109 24 */

/* BEGIN FUNCTION-DECL-EXTERN __lgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=3565 */
#line 266 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __lgammaf)(float  ) ;
/* END FUNCTION-DECL-EXTERN __lgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=3565 */

/* BEGIN FUNCTION-DECL-EXTERN exp2m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=4073 */
#line 135
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) exp2m1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN exp2m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=4073 */

/* BEGIN FUNCTION-DECL-EXTERN __cospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3254 */
#line 79
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __cospif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __cospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:79 VKEY=3254 */

/* BEGIN FUNCTION-DECL-EXTERN roundevenl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:378 VKEY=4468 */
#line 378
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) roundevenl)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN roundevenl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:378 VKEY=4468 */

/* BEGIN FUNCTION-DECL-EXTERN ftrylockfile LOC=/usr/include/stdio.h:935 VKEY=2426 */
#line 935 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) ftrylockfile)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN ftrylockfile LOC=/usr/include/stdio.h:935 VKEY=2426 */

/* BEGIN FUNCTION-DECL-EXTERN __erf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=2839 */
#line 264 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __erf)(double  ) ;
/* END FUNCTION-DECL-EXTERN __erf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=2839 */

/* BEGIN FUNCTION-DECL-EXTERN __fpclassifyl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=3868 */
#line 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __fpclassifyl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __fpclassifyl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=3868 */

/* BEGIN FUNCTION-DECL-EXTERN sinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3275 */
#line 91 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) sinhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN sinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3275 */

/* BEGIN FUNCTION-DECL-EXTERN ffmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:30 VKEY=4649 */
#line 30 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) ffmal)(long double __x ,
                                                                              long double __y ,
                                                                              long double __z ) ;
/* END FUNCTION-DECL-EXTERN ffmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:30 VKEY=4649 */

/* BEGIN FUNCTION-DECL-EXTERN getc LOC=/usr/include/stdio.h:576 VKEY=2222 */
#line 576 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) getc)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN getc LOC=/usr/include/stdio.h:576 VKEY=2222 */

/* BEGIN FUNCTION-DECL-EXTERN dsubl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:39 VKEY=4692 */
#line 39 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) dsubl)(long double __x ,
                                                                               long double __y ) ;
/* END FUNCTION-DECL-EXTERN dsubl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:39 VKEY=4692 */

/* BEGIN FUNCTION-DECL-EXTERN __fmodl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=4181 */
#line 201 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __fmodl)(long double __x ,
                                                                                      long double __y ) ;
/* END FUNCTION-DECL-EXTERN __fmodl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=4181 */

/* BEGIN FUNCTION-DECL-EXTERN __finitef128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=4591 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __finitef128)(_Float128 __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __finitef128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=4591 */

/* BEGIN FUNCTION-DECL-EXTERN ynl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=4256 */
#line 258 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) ynl)(int  ,
                                                                                  long double  ) ;
/* END FUNCTION-DECL-EXTERN ynl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=4256 */

/* BEGIN TYPEDEF pthread_attr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:62 */
#line 62 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union pthread_attr_t pthread_attr_t;
/* END TYPEDEF pthread_attr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:62 */

/* BEGIN FUNCTION-DECL-EXTERN nextafterl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=4312 */
#line 295 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) nextafterl)(long double __x ,
                                                                                         long double __y ) ;
/* END FUNCTION-DECL-EXTERN nextafterl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=4312 */

/* BEGIN FUNCTION-DECL-EXTERN hypotl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=4151 */
#line 180
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) hypotl)(long double __x ,
                                                                                     long double __y ) ;
/* END FUNCTION-DECL-EXTERN hypotl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=4151 */

/* BEGIN TYPEDEF u_int32_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:160 */
#line 160 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __uint32_t u_int32_t;
/* END TYPEDEF u_int32_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:160 */

/* BEGIN FUNCTION-DECL-EXTERN __atanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=2588 */
#line 107 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __atanh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __atanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=2588 */

/* BEGIN STRUCT-DECL __pthread_internal_slist LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:57 20 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __pthread_internal_slist ;
/* END STRUCT-DECL __pthread_internal_slist LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:57 20 */

/* BEGIN FUNCTION-DECL-EXTERN flockfile LOC=/usr/include/stdio.h:931 VKEY=2423 */
#line 931 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) flockfile)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN flockfile LOC=/usr/include/stdio.h:931 VKEY=2423 */

/* BEGIN UNION-DECL pthread_attr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:56 CKEY=27 */
#line 56 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union pthread_attr_t ;
/* END UNION-DECL pthread_attr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:56 CKEY=27 */

/* BEGIN STRUCT-DECL _IO_FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/__FILE.h:4 42 */
#line 4 "/usr/include/x86_64-linux-gnu/bits/types/__FILE.h"
struct _IO_FILE ;
/* END STRUCT-DECL _IO_FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/__FILE.h:4 42 */

/* BEGIN FUNCTION-DECL-EXTERN nextdown LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=2902 */
#line 302 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) nextdown)(double __x ) ;
/* END FUNCTION-DECL-EXTERN nextdown LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=2902 */

/* BEGIN FUNCTION-DECL-EXTERN nearbyint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=2956 */
#line 330
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) nearbyint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN nearbyint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:330 VKEY=2956 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_mag LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:433 VKEY=3131 */
#line 433
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fminimum_mag)(double __x ,
                                                                                      double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_mag LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:433 VKEY=3131 */

/* BEGIN STRUCT __anonstruct___fsid_t_109580352 LOC=/usr/include/x86_64-linux-gnu/bits/types.h:155 12 */
#line 155 "/usr/include/x86_64-linux-gnu/bits/types.h"
struct __anonstruct___fsid_t_109580352 {
   int __val[2] ;
};
/* END STRUCT __anonstruct___fsid_t_109580352 LOC=/usr/include/x86_64-linux-gnu/bits/types.h:155 12 */

/* BEGIN FUNCTION-DECL-EXTERN fromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=4503 */
#line 393 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) fromfpxl)(long double __x ,
                                                                                      int __round ,
                                                                                      unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN fromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=4503 */

/* BEGIN FUNCTION-DECL-EXTERN ffsl LOC=/usr/include/strings.h:110 VKEY=1880 */
#line 110 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ffsl)(long __l )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ffsl LOC=/usr/include/strings.h:110 VKEY=1880 */

/* BEGIN FUNCTION-DECL-EXTERN __pow LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=2712 */
#line 173 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __pow)(double __x ,
                                                                               double __y ) ;
/* END FUNCTION-DECL-EXTERN __pow LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=2712 */

/* BEGIN FUNCTION-DECL-EXTERN acosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3177 */
#line 53
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) acosf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN acosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=3177 */

/* BEGIN FUNCTION-DECL-EXTERN ferror_unlocked LOC=/usr/include/stdio.h:860 VKEY=2400 */
#line 860 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) ferror_unlocked)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN ferror_unlocked LOC=/usr/include/stdio.h:860 VKEY=2400 */

/* BEGIN FUNCTION-DECL-EXTERN __nextafterf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=3603 */
#line 295 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __nextafterf)(float __x ,
                                                                                     float __y ) ;
/* END FUNCTION-DECL-EXTERN __nextafterf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=3603 */

/* BEGIN FUNCTION-DECL-EXTERN sinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=2561 */
#line 91
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) sinh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN sinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=2561 */

/* BEGIN FUNCTION-DECL-EXTERN log2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=3413 */
#line 166
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) log2f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN log2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=3413 */

/* BEGIN FUNCTION-DECL-EXTERN __llogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=4371 */
#line 321
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __llogbl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __llogbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:321 VKEY=4371 */

/* BEGIN FUNCTION-DECL-EXTERN __llrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=4419 */
#line 352
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) __llrintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __llrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=4419 */

/* BEGIN FUNCTION-DECL-EXTERN tanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3281 */
#line 93
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) tanhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN tanhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3281 */

/* BEGIN FUNCTION-DECL-EXTERN nanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=4211 */
#line 236
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) nanl)(char const   *__tagb ) ;
/* END FUNCTION-DECL-EXTERN nanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=4211 */

/* BEGIN FUNCTION-DECL-EXTERN exit LOC=/usr/include/stdlib.h:756 VKEY=1376 */
#line 756 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__, __noreturn__)) void ( __attribute__((__leaf__)) exit)(int __status ) ;
/* END FUNCTION-DECL-EXTERN exit LOC=/usr/include/stdlib.h:756 VKEY=1376 */

/* BEGIN FUNCTION-DECL-EXTERN exp2m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=3359 */
#line 135 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) exp2m1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN exp2m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=3359 */

/* BEGIN FUNCTION-DECL-EXTERN __isnanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=3880 */
#line 37 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isnanl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isnanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:37 VKEY=3880 */

/* BEGIN TYPEDEF clockid_t LOC=/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h:7 */
#line 7 "/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h"
typedef __clockid_t clockid_t;
/* END TYPEDEF clockid_t LOC=/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h:7 */

/* BEGIN FUNCTION-DECL-EXTERN drem LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=2764 */
#line 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) drem)(double __x ,
                                                                              double __y ) ;
/* END FUNCTION-DECL-EXTERN drem LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=2764 */

/* BEGIN TYPEDEF int_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:28 */
#line 28 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __int_least64_t int_least64_t;
/* END TYPEDEF int_least64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:28 */

/* BEGIN UNION-DECL __anonunion_pthread_rwlockattr_t_145707745 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:93 CKEY=31 */
#line 93 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_rwlockattr_t_145707745 ;
/* END UNION-DECL __anonunion_pthread_rwlockattr_t_145707745 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:93 CKEY=31 */

/* BEGIN FUNCTION-DECL-EXTERN isascii LOC=/usr/include/ctype.h:142 VKEY=4750 */
#line 142 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isascii)(int __c ) ;
/* END FUNCTION-DECL-EXTERN isascii LOC=/usr/include/ctype.h:142 VKEY=4750 */

/* BEGIN FUNCTION-DECL-EXTERN __memcmpeq LOC=/usr/include/string.h:80 VKEY=1661 */
#line 80 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) __memcmpeq)(void const   *__s1 ,
                                                                                                   void const   *__s2 ,
                                                                                                   size_t __n )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN __memcmpeq LOC=/usr/include/string.h:80 VKEY=1661 */

/* BEGIN FUNCTION-DECL-EXTERN faddl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:24 VKEY=4637 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) faddl)(long double __x ,
                                                                              long double __y ) ;
/* END FUNCTION-DECL-EXTERN faddl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:24 VKEY=4637 */

/* BEGIN FUNCTION-DECL-EXTERN __nanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=4214 */
#line 236 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __nanl)(char const   *__tagb ) ;
/* END FUNCTION-DECL-EXTERN __nanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:236 VKEY=4214 */

/* BEGIN FUNCTION-DECL-EXTERN __nextafterl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=4317 */
#line 295
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __nextafterl)(long double __x ,
                                                                                           long double __y ) ;
/* END FUNCTION-DECL-EXTERN __nextafterl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=4317 */

/* BEGIN FUNCTION-DECL-EXTERN fsetpos LOC=/usr/include/stdio.h:825 VKEY=2382 */
#line 825 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fsetpos)(FILE *__stream , fpos_t const   *__pos ) ;
/* END FUNCTION-DECL-EXTERN fsetpos LOC=/usr/include/stdio.h:825 VKEY=2382 */

/* BEGIN FUNCTION-DECL-EXTERN __remquo LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=2979 */
#line 343 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __remquo)(double __x ,
                                                                                  double __y ,
                                                                                  int *__quo ) ;
/* END FUNCTION-DECL-EXTERN __remquo LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=2979 */

/* BEGIN FUNCTION-DECL-EXTERN fread_unlocked LOC=/usr/include/stdio.h:756 VKEY=2340 */
#line 756 "/usr/include/stdio.h"
extern size_t ( __attribute__((__nonnull__(4))) fread_unlocked)(void * __restrict  __ptr ,
                                                                size_t __size , size_t __n ,
                                                                FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN fread_unlocked LOC=/usr/include/stdio.h:756 VKEY=2340 */

/* BEGIN TYPEDEF u_int16_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:159 */
#line 159 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __uint16_t u_int16_t;
/* END TYPEDEF u_int16_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:159 */

/* BEGIN FUNCTION-DECL-EXTERN sinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3971 */
#line 81 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) sinpil)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN sinpil LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=3971 */

/* BEGIN FUNCTION-DECL-EXTERN __tanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=2570 */
#line 93
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __tanh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __tanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=2570 */

/* BEGIN FUNCTION-DECL-EXTERN strxfrm_l LOC=/usr/include/string.h:179 VKEY=1732 */
#line 179 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(2,4), __leaf__)) strxfrm_l)(char *__dest ,
                                                                                                     char const   *__src ,
                                                                                                     size_t __n ,
                                                                                                     locale_t __l )  __attribute__((__access__(__write_only__,1,3))) ;
/* END FUNCTION-DECL-EXTERN strxfrm_l LOC=/usr/include/string.h:179 VKEY=1732 */

/* BEGIN FUNCTION-DECL-EXTERN canonicalize LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:403 VKEY=3101 */
#line 403 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) canonicalize)(double *__cx ,
                                                                                   double const   *__x ) ;
/* END FUNCTION-DECL-EXTERN canonicalize LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:403 VKEY=3101 */

/* BEGIN FUNCTION-DECL-EXTERN log10p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=4091 */
#line 144
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) log10p1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN log10p1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:144 VKEY=4091 */

/* BEGIN FUNCTION-DECL-EXTERN strtoul LOC=/usr/include/stdlib.h:181 VKEY=1017 */
#line 181 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) unsigned long ( __attribute__((__nonnull__(1),
__leaf__)) strtoul)(char const   * __restrict  __nptr , char ** __restrict  __endptr ,
                    int __base )  __asm__("__isoc23_strtoul")  ;
/* END FUNCTION-DECL-EXTERN strtoul LOC=/usr/include/stdlib.h:181 VKEY=1017 */

/* BEGIN FUNCTION-DECL-EXTERN tmpfile LOC=/usr/include/stdio.h:194 VKEY=1998 */
#line 194 "/usr/include/stdio.h"
extern FILE *tmpfile(void)  __attribute__((__malloc__(fclose,1), __malloc__)) ;
/* END FUNCTION-DECL-EXTERN tmpfile LOC=/usr/include/stdio.h:194 VKEY=1998 */

/* BEGIN VARIABLE-DECL-EXTERN stdin LOC=/usr/include/stdio.h:149 VKEY=1973 */
#line 149
extern FILE *stdin ;
/* END VARIABLE-DECL-EXTERN stdin LOC=/usr/include/stdio.h:149 VKEY=1973 */

/* BEGIN FUNCTION-DECL-EXTERN __llrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=2991 */
#line 352 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) __llrint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __llrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=2991 */

/* BEGIN FUNCTION-DECL-EXTERN expm1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=3389 */
#line 152
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) expm1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN expm1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:152 VKEY=3389 */

/* BEGIN FUNCTION-DECL-EXTERN cosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3205 */
#line 62
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) cosf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN cosf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=3205 */

/* BEGIN FUNCTION-DECL-EXTERN feof_unlocked LOC=/usr/include/stdio.h:859 VKEY=2397 */
#line 859 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) feof_unlocked)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN feof_unlocked LOC=/usr/include/stdio.h:859 VKEY=2397 */

/* BEGIN FUNCTION-DECL-EXTERN __powf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=3426 */
#line 173 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __powf)(float __x ,
                                                                               float __y ) ;
/* END FUNCTION-DECL-EXTERN __powf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=3426 */

/* BEGIN FUNCTION-DECL-EXTERN scalbln LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=2948 */
#line 326
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) scalbln)(double __x ,
                                                                                 long __n ) ;
/* END FUNCTION-DECL-EXTERN scalbln LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=2948 */

/* BEGIN FUNCTION-DECL-EXTERN isalpha LOC=/usr/include/ctype.h:109 VKEY=4711 */
#line 109 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isalpha)(int  ) ;
/* END FUNCTION-DECL-EXTERN isalpha LOC=/usr/include/ctype.h:109 VKEY=4711 */

/* BEGIN FUNCTION-DECL-EXTERN __atanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=4016 */
#line 107 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __atanhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __atanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=4016 */

/* BEGIN TYPEDEF uint_fast64_t LOC=/usr/include/stdint.h:64 */
#line 64 "/usr/include/stdint.h"
typedef unsigned long uint_fast64_t;
/* END TYPEDEF uint_fast64_t LOC=/usr/include/stdint.h:64 */

/* BEGIN FUNCTION-DECL-EXTERN iscntrl_l LOC=/usr/include/ctype.h:253 VKEY=4774 */
#line 253 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) iscntrl_l)(int  ,
                                                                                locale_t  ) ;
/* END FUNCTION-DECL-EXTERN iscntrl_l LOC=/usr/include/ctype.h:253 VKEY=4774 */

/* BEGIN FUNCTION-DECL-EXTERN __lroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=3711 */
#line 356 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __lroundf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __lroundf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=3711 */

/* BEGIN FUNCTION-DECL-EXTERN __acospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=2512 */
#line 70
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __acospi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __acospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=2512 */

/* BEGIN STRUCT-DECL __anonstruct___mbstate_t_110123789 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 38 */
#line 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h"
struct __anonstruct___mbstate_t_110123789 ;
/* END STRUCT-DECL __anonstruct___mbstate_t_110123789 LOC=/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h:13 38 */

/* BEGIN FUNCTION-DECL-EXTERN finitef LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:216 VKEY=3473 */
#line 216 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) finitef)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN finitef LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:216 VKEY=3473 */

/* BEGIN FUNCTION-DECL-EXTERN jnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=4234 */
#line 255
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) jnl)(int  ,
                                                                                  long double  ) ;
/* END FUNCTION-DECL-EXTERN jnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:255 VKEY=4234 */

/* BEGIN FUNCTION-DECL-EXTERN acospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=2509 */
#line 70
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) acospi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN acospi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=2509 */

/* BEGIN FUNCTION-DECL-EXTERN __gamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=2863 */
#line 277
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __gamma)(double  ) ;
/* END FUNCTION-DECL-EXTERN __gamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=2863 */

/* BEGIN FUNCTION-DECL-EXTERN ffsll LOC=/usr/include/strings.h:111 VKEY=1883 */
#line 111 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) ffsll)(long long __ll )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN ffsll LOC=/usr/include/strings.h:111 VKEY=1883 */

/* BEGIN FUNCTION-DECL-EXTERN __nextupf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=3625 */
#line 304 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __nextupf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __nextupf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:304 VKEY=3625 */

/* BEGIN FUNCTION-DECL-EXTERN atan2pif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3243 */
#line 76
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) atan2pif)(float __y ,
                                                                                 float __x ) ;
/* END FUNCTION-DECL-EXTERN atan2pif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=3243 */

/* BEGIN FUNCTION-DECL-EXTERN y0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=2814 */
#line 256
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) y0)(double  ) ;
/* END FUNCTION-DECL-EXTERN y0 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=2814 */

/* BEGIN FUNCTION-DECL-EXTERN erfc LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=2842 */
#line 265
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) erfc)(double  ) ;
/* END FUNCTION-DECL-EXTERN erfc LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=2842 */

/* BEGIN FUNCTION-DECL-EXTERN __ufromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=4496 */
#line 387
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) __ufromfpl)(long double __x ,
                                                                                         int __round ,
                                                                                         unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __ufromfpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=4496 */

/* BEGIN FUNCTION-DECL-EXTERN memmove LOC=/usr/include/string.h:47 VKEY=1631 */
#line 47 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1,2), __leaf__)) memmove)(void *__dest ,
                                                                                                  void const   *__src ,
                                                                                                  size_t __n ) ;
/* END FUNCTION-DECL-EXTERN memmove LOC=/usr/include/string.h:47 VKEY=1631 */

/* BEGIN FUNCTION-DECL-EXTERN __fromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3768 */
#line 382 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) __fromfpf)(float __x ,
                                                                                       int __round ,
                                                                                       unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN __fromfpf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:382 VKEY=3768 */

/* BEGIN UNION-DECL __anonunion_pthread_condattr_t_488594145 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:41 CKEY=26 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_condattr_t_488594145 ;
/* END UNION-DECL __anonunion_pthread_condattr_t_488594145 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:41 CKEY=26 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_mag_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:436 VKEY=3136 */
#line 436 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmaximum_mag_num)(double __x ,
                                                                                          double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_mag_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:436 VKEY=3136 */

/* BEGIN FUNCTION-DECL-EXTERN fseeko LOC=/usr/include/stdio.h:793 VKEY=2369 */
#line 793 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fseeko)(FILE *__stream , __off_t __off ,
                                                     int __whence ) ;
/* END FUNCTION-DECL-EXTERN fseeko LOC=/usr/include/stdio.h:793 VKEY=2369 */

/* BEGIN FUNCTION-DECL-EXTERN strncat LOC=/usr/include/string.h:152 VKEY=1692 */
#line 152 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strncat)(char * __restrict  __dest ,
                                                                                                  char const   * __restrict  __src ,
                                                                                                  size_t __n ) ;
/* END FUNCTION-DECL-EXTERN strncat LOC=/usr/include/string.h:152 VKEY=1692 */

/* BEGIN FUNCTION-DECL-EXTERN dfmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:30 VKEY=4679 */
#line 30 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) dfmal)(long double __x ,
                                                                               long double __y ,
                                                                               long double __z ) ;
/* END FUNCTION-DECL-EXTERN dfmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:30 VKEY=4679 */

/* BEGIN TYPEDEF key_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:121 */
#line 121 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __key_t key_t;
/* END TYPEDEF key_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:121 */

/* BEGIN FUNCTION-DECL-EXTERN __asinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=4010 */
#line 105 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __asinhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __asinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=4010 */

/* BEGIN FUNCTION-DECL-EXTERN setvbuf LOC=/usr/include/stdio.h:339 VKEY=2065 */
#line 339 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) setvbuf)(FILE * __restrict  __stream ,
                                                                                              char * __restrict  __buf ,
                                                                                              int __modes ,
                                                                                              size_t __n ) ;
/* END FUNCTION-DECL-EXTERN setvbuf LOC=/usr/include/stdio.h:339 VKEY=2065 */

/* BEGIN ENUM-DECL __anonenum_18926444 LOC=/usr/include/ctype.h:46 */
#line 46 "/usr/include/ctype.h"
enum __anonenum_18926444 ;
/* END ENUM-DECL __anonenum_18926444 LOC=/usr/include/ctype.h:46 */

/* BEGIN FUNCTION-DECL-EXTERN tanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=2567 */
#line 93 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) tanh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN tanh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=2567 */

/* BEGIN FUNCTION-DECL-EXTERN scalblnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=3662 */
#line 326
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) scalblnf)(float __x ,
                                                                                 long __n ) ;
/* END FUNCTION-DECL-EXTERN scalblnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=3662 */

/* BEGIN FUNCTION-DECL-EXTERN __atan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=2478 */
#line 57
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __atan)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __atan LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=2478 */

/* BEGIN FUNCTION-DECL-EXTERN cbrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=3445 */
#line 185
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) cbrtf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN cbrtf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:185 VKEY=3445 */

/* BEGIN FUNCTION-DECL-EXTERN putchar_unlocked LOC=/usr/include/stdio.h:636 VKEY=2260 */
#line 636 "/usr/include/stdio.h"
extern int putchar_unlocked(int __c ) ;
/* END FUNCTION-DECL-EXTERN putchar_unlocked LOC=/usr/include/stdio.h:636 VKEY=2260 */

/* BEGIN FUNCTION-DECL-EXTERN stpcpy LOC=/usr/include/string.h:491 VKEY=1934 */
#line 491 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) stpcpy)(char * __restrict  __dest ,
                                                                                                 char const   * __restrict  __src ) ;
/* END FUNCTION-DECL-EXTERN stpcpy LOC=/usr/include/string.h:491 VKEY=1934 */

/* BEGIN FUNCTION-DECL-EXTERN acosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=2573 */
#line 103 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) acosh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN acosh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=2573 */

/* BEGIN TYPEDEF __rlim_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:157 */
#line 157 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned long __rlim_t;
/* END TYPEDEF __rlim_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:157 */

/* BEGIN FUNCTION-DECL-EXTERN __significand LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=2775 */
#line 224 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __significand)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __significand LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:224 VKEY=2775 */

/* BEGIN FUNCTION-DECL-EXTERN rename LOC=/usr/include/stdio.h:160 VKEY=1983 */
#line 160 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) rename)(char const   *__old ,
                                                                             char const   *__new ) ;
/* END FUNCTION-DECL-EXTERN rename LOC=/usr/include/stdio.h:160 VKEY=1983 */

/* BEGIN FUNCTION-DECL-EXTERN __log2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=4130 */
#line 166 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __log2l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __log2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=4130 */

/* BEGIN FUNCTION-DECL-EXTERN isdigit LOC=/usr/include/ctype.h:111 VKEY=4717 */
#line 111 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isdigit)(int  ) ;
/* END FUNCTION-DECL-EXTERN isdigit LOC=/usr/include/ctype.h:111 VKEY=4717 */

/* BEGIN FUNCTION-DECL-EXTERN tolower_l LOC=/usr/include/ctype.h:268 VKEY=4829 */
#line 268
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) tolower_l)(int __c ,
                                                                                locale_t __l ) ;
/* END FUNCTION-DECL-EXTERN tolower_l LOC=/usr/include/ctype.h:268 VKEY=4829 */

/* BEGIN TYPEDEF pthread_mutexattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:32 */
#line 32 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_mutexattr_t_488594144 pthread_mutexattr_t;
/* END TYPEDEF pthread_mutexattr_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:32 */

/* BEGIN TYPEDEF scalar_t__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:29 */
#line 29 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef long scalar_t__;
/* END TYPEDEF scalar_t__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:29 */

/* BEGIN FUNCTION-DECL-EXTERN __isinff128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=4588 */
#line 29 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isinff128)(_Float128 __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isinff128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=4588 */

/* BEGIN FUNCTION-DECL-EXTERN erf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=2836 */
#line 264 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) erf)(double  ) ;
/* END FUNCTION-DECL-EXTERN erf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:264 VKEY=2836 */

/* BEGIN FUNCTION-DECL-EXTERN __signbit LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=2443 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __signbit)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __signbit LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:24 VKEY=2443 */

/* BEGIN TYPEDEF __useconds_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:161 */
#line 161 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef unsigned int __useconds_t;
/* END TYPEDEF __useconds_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:161 */

/* BEGIN FUNCTION-DECL-EXTERN exp2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=2693 */
#line 163 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) exp2)(double __x ) ;
/* END FUNCTION-DECL-EXTERN exp2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=2693 */

/* BEGIN FUNCTION-DECL-EXTERN floor LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:198 VKEY=2743 */
#line 198
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) floor)(double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN floor LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:198 VKEY=2743 */

/* BEGIN FUNCTION-DECL-EXTERN tgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=3568 */
#line 271
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) tgammaf)(float  ) ;
/* END FUNCTION-DECL-EXTERN tgammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=3568 */

/* BEGIN FUNCTION-DECL-EXTERN cos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=2491 */
#line 62
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) cos)(double __x ) ;
/* END FUNCTION-DECL-EXTERN cos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:62 VKEY=2491 */

/* BEGIN FUNCTION-DECL-EXTERN lgamma_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=2868 */
#line 285
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) lgamma_r)(double  ,
                                                                                  int *__signgamp ) ;
/* END FUNCTION-DECL-EXTERN lgamma_r LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:285 VKEY=2868 */

/* BEGIN FUNCTION-DECL-EXTERN rint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=2876 */
#line 292
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) rint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN rint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=2876 */

/* BEGIN FUNCTION-DECL-EXTERN __drem LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=2769 */
#line 220
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __drem)(double __x ,
                                                                                double __y ) ;
/* END FUNCTION-DECL-EXTERN __drem LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=2769 */

/* BEGIN FUNCTION-DECL-EXTERN vprintf LOC=/usr/include/stdio.h:378 VKEY=2100 */
#line 378 "/usr/include/stdio.h"
extern int vprintf(char const   * __restrict  __format , __gnuc_va_list __arg ) ;
/* END FUNCTION-DECL-EXTERN vprintf LOC=/usr/include/stdio.h:378 VKEY=2100 */

/* BEGIN FUNCTION-DECL-EXTERN posix_memalign LOC=/usr/include/stdlib.h:718 VKEY=1346 */
#line 718 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) posix_memalign)(void **__memptr ,
                                                                                                     size_t __alignment ,
                                                                                                     size_t __size ) ;
/* END FUNCTION-DECL-EXTERN posix_memalign LOC=/usr/include/stdlib.h:718 VKEY=1346 */

/* BEGIN FUNCTION-DECL-EXTERN __modff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=3350 */
#line 128 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__nonnull__(2), __leaf__)) __modff)(float __x ,
                                                                                                float *__iptr ) ;
/* END FUNCTION-DECL-EXTERN __modff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=3350 */

/* BEGIN FUNCTION-DECL-EXTERN fgetpos LOC=/usr/include/stdio.h:819 VKEY=2377 */
#line 819 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fgetpos)(FILE * __restrict  __stream ,
                                                      fpos_t * __restrict  __pos ) ;
/* END FUNCTION-DECL-EXTERN fgetpos LOC=/usr/include/stdio.h:819 VKEY=2377 */

/* BEGIN FUNCTION-DECL-EXTERN lrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=2982 */
#line 350 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lrint)(double __x ) ;
/* END FUNCTION-DECL-EXTERN lrint LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=2982 */

/* BEGIN FUNCTION-DECL-EXTERN atexit LOC=/usr/include/stdlib.h:734 VKEY=1359 */
#line 734 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) atexit)(void (*__func)(void) ) ;
/* END FUNCTION-DECL-EXTERN atexit LOC=/usr/include/stdlib.h:734 VKEY=1359 */

/* BEGIN FUNCTION-DECL-EXTERN memset LOC=/usr/include/string.h:61 VKEY=1647 */
#line 61 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__nonnull__(1), __leaf__)) memset)(void *__s ,
                                                                                               int __c ,
                                                                                               size_t __n ) ;
/* END FUNCTION-DECL-EXTERN memset LOC=/usr/include/string.h:61 VKEY=1647 */

/* BEGIN FUNCTION-DECL-EXTERN __hypotl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=4156 */
#line 180 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __hypotl)(long double __x ,
                                                                                       long double __y ) ;
/* END FUNCTION-DECL-EXTERN __hypotl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:180 VKEY=4156 */

/* BEGIN TYPEDEF __blkcnt64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:181 */
#line 181 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef long __blkcnt64_t;
/* END TYPEDEF __blkcnt64_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:181 */

/* BEGIN FUNCTION-DECL-EXTERN isgraph LOC=/usr/include/ctype.h:113 VKEY=4723 */
#line 113 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isgraph)(int  ) ;
/* END FUNCTION-DECL-EXTERN isgraph LOC=/usr/include/ctype.h:113 VKEY=4723 */

/* BEGIN FUNCTION-DECL-EXTERN asinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3183 */
#line 55 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) asinf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN asinf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:55 VKEY=3183 */

/* BEGIN FUNCTION-DECL-EXTERN remquol LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=4400 */
#line 343
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) remquol)(long double __x ,
                                                                                      long double __y ,
                                                                                      int *__quo ) ;
/* END FUNCTION-DECL-EXTERN remquol LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=4400 */

/* BEGIN STRUCT _IO_FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:50 42 */
#line 50 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h"
struct _IO_FILE {
   int _flags ;
   char *_IO_read_ptr ;
   char *_IO_read_end ;
   char *_IO_read_base ;
   char *_IO_write_base ;
   char *_IO_write_ptr ;
   char *_IO_write_end ;
   char *_IO_buf_base ;
   char *_IO_buf_end ;
   char *_IO_save_base ;
   char *_IO_backup_base ;
   char *_IO_save_end ;
   struct _IO_marker *_markers ;
   struct _IO_FILE *_chain ;
   int _fileno ;
   int _flags2 : 24 ;
   char _short_backupbuf[1] ;
   __off_t _old_offset ;
   unsigned short _cur_column ;
   signed char _vtable_offset ;
   char _shortbuf[1] ;
   _IO_lock_t *_lock ;
   __off64_t _offset ;
   struct _IO_codecvt *_codecvt ;
   struct _IO_wide_data *_wide_data ;
   struct _IO_FILE *_freeres_list ;
   void *_freeres_buf ;
   struct _IO_FILE **_prevchain ;
   int _mode ;
   char _unused2[15UL * sizeof(int ) - 5UL * sizeof(void *)] ;
};
/* END STRUCT _IO_FILE LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h:50 42 */

/* BEGIN FUNCTION-DECL-EXTERN pow LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=2707 */
#line 173 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) pow)(double __x ,
                                                                             double __y ) ;
/* END FUNCTION-DECL-EXTERN pow LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:173 VKEY=2707 */

/* BEGIN FUNCTION-DECL-EXTERN coshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3983 */
#line 89
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) coshl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN coshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3983 */

/* BEGIN FUNCTION-DECL-EXTERN fromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3789 */
#line 393
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) fromfpxf)(float __x ,
                                                                                      int __round ,
                                                                                      unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN fromfpxf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3789 */

/* BEGIN FUNCTION-DECL-EXTERN fileno_unlocked LOC=/usr/include/stdio.h:878 VKEY=2409 */
#line 878 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) fileno_unlocked)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fileno_unlocked LOC=/usr/include/stdio.h:878 VKEY=2409 */

/* BEGIN FUNCTION-DECL-EXTERN __j1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=3515 */
#line 254 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __j1f)(float  ) ;
/* END FUNCTION-DECL-EXTERN __j1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=3515 */

/* BEGIN FUNCTION-DECL-EXTERN __acoshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=4004 */
#line 103
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __acoshl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __acoshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=4004 */

/* BEGIN FUNCTION-DECL-EXTERN sinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3989 */
#line 91
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) sinhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN sinhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=3989 */

/* BEGIN FUNCTION-DECL-EXTERN erfcf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=3556 */
#line 265
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) erfcf)(float  ) ;
/* END FUNCTION-DECL-EXTERN erfcf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=3556 */

/* BEGIN FUNCTION-DECL-EXTERN dremf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=3478 */
#line 220
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) dremf)(float __x ,
                                                                              float __y ) ;
/* END FUNCTION-DECL-EXTERN dremf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220 VKEY=3478 */

/* BEGIN TYPEDEF blkcnt_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:192 */
#line 192 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __blkcnt_t blkcnt_t;
/* END TYPEDEF blkcnt_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:192 */

/* BEGIN TYPEDEF uint8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:24 */
#line 24 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h"
typedef __uint8_t uint8_t;
/* END TYPEDEF uint8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:24 */

/* BEGIN FUNCTION-DECL-EXTERN __llrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=3705 */
#line 352 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long long ( __attribute__((__leaf__)) __llrintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __llrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:352 VKEY=3705 */

/* BEGIN FUNCTION-DECL-EXTERN dprintf LOC=/usr/include/stdio.h:413 VKEY=2152 */
#line 413 "/usr/include/stdio.h"
extern int ( /* format attribute */  dprintf)(int __fd , char const   * __restrict  __fmt 
                                              , ...) ;
/* END FUNCTION-DECL-EXTERN dprintf LOC=/usr/include/stdio.h:413 VKEY=2152 */

/* BEGIN FUNCTION-DECL-EXTERN __finitel LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=3877 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __finitel)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __finitel LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:33 VKEY=3877 */

/* BEGIN FUNCTION-DECL-EXTERN __scalbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=4579 */
#line 468 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __scalbl)(long double __x ,
                                                                                       long double __n ) ;
/* END FUNCTION-DECL-EXTERN __scalbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=4579 */

/* BEGIN FUNCTION-DECL-EXTERN fmodl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=4176 */
#line 201
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmodl)(long double __x ,
                                                                                    long double __y ) ;
/* END FUNCTION-DECL-EXTERN fmodl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:201 VKEY=4176 */

/* BEGIN FUNCTION-DECL-EXTERN tmpnam_r LOC=/usr/include/stdio.h:216 VKEY=2004 */
#line 216 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) tmpnam_r)(char *__s ) ;
/* END FUNCTION-DECL-EXTERN tmpnam_r LOC=/usr/include/stdio.h:216 VKEY=2004 */

/* BEGIN FUNCTION-DECL-EXTERN __y1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=3537 */
#line 257 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __y1f)(float  ) ;
/* END FUNCTION-DECL-EXTERN __y1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=3537 */

/* BEGIN FUNCTION-DECL-EXTERN __asinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=3296 */
#line 105
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __asinhf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __asinhf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=3296 */

/* BEGIN FUNCTION-DECL-EXTERN bcmp LOC=/usr/include/strings.h:34 VKEY=1852 */
#line 34 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) bcmp)(void const   *__s1 ,
                                                                                             void const   *__s2 ,
                                                                                             size_t __n )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN bcmp LOC=/usr/include/strings.h:34 VKEY=1852 */

/* BEGIN FUNCTION-DECL-EXTERN __exp2m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=4076 */
#line 135 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __exp2m1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp2m1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=4076 */

/* BEGIN FUNCTION-DECL-EXTERN copysignl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:231 VKEY=4208 */
#line 231
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) copysignl)(long double __x ,
                                                                                        long double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN copysignl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:231 VKEY=4208 */

/* BEGIN FUNCTION-DECL-EXTERN scalbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=4574 */
#line 468
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) scalbl)(long double __x ,
                                                                                     long double __n ) ;
/* END FUNCTION-DECL-EXTERN scalbl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:468 VKEY=4574 */

/* BEGIN FUNCTION-DECL-EXTERN getdelim LOC=/usr/include/stdio.h:692 VKEY=2293 */
#line 692 "/usr/include/stdio.h"
extern __ssize_t ( __attribute__((__nonnull__(4))) getdelim)(char ** __restrict  __lineptr ,
                                                             size_t * __restrict  __n ,
                                                             int __delimiter , FILE * __restrict  __stream ) ;
/* END FUNCTION-DECL-EXTERN getdelim LOC=/usr/include/stdio.h:692 VKEY=2293 */

/* BEGIN FUNCTION-DECL-EXTERN __log1p LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=2684 */
#line 155 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __log1p)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __log1p LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:155 VKEY=2684 */

/* BEGIN FUNCTION-DECL-EXTERN __acoshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=3290 */
#line 103
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __acoshf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __acoshf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:103 VKEY=3290 */

/* BEGIN FUNCTION-DECL-EXTERN ufromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3061 */
#line 387
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) ufromfp)(double __x ,
                                                                                      int __round ,
                                                                                      unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN ufromfp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:387 VKEY=3061 */

/* BEGIN ENUM __anonenum_913965969 LOC=/usr/include/math.h:255 */
#line 255 "/usr/include/math.h"
enum __anonenum_913965969 {
    FP_INT_UPWARD = 0,
    FP_INT_DOWNWARD = 1,
    FP_INT_TOWARDZERO = 2,
    FP_INT_TONEARESTFROMZERO = 3,
    FP_INT_TONEAREST = 4
} ;
/* END ENUM __anonenum_913965969 LOC=/usr/include/math.h:255 */

/* BEGIN FUNCTION-DECL-EXTERN exp10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=2639 */
#line 132 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) exp10)(double __x ) ;
/* END FUNCTION-DECL-EXTERN exp10 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:132 VKEY=2639 */

/* BEGIN FUNCTION-DECL-EXTERN log2p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=2657 */
#line 141
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) log2p1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN log2p1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:141 VKEY=2657 */

/* BEGIN FUNCTION-DECL-EXTERN fgetc_unlocked LOC=/usr/include/stdio.h:600 VKEY=2234 */
#line 600 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fgetc_unlocked)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fgetc_unlocked LOC=/usr/include/stdio.h:600 VKEY=2234 */

/* BEGIN FUNCTION-DECL-EXTERN __isinfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=3874 */
#line 29 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isinfl)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isinfl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=3874 */

/* BEGIN FUNCTION-DECL-EXTERN __fpclassifyf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=4582 */
#line 20
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __fpclassifyf128)(_Float128 __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __fpclassifyf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=4582 */

/* BEGIN FUNCTION-DECL-EXTERN __sinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=2546 */
#line 81 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __sinpi)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __sinpi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:81 VKEY=2546 */

/* BEGIN FUNCTION-DECL-EXTERN fminimum_mag_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:439 VKEY=3855 */
#line 439
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fminimum_mag_numf)(float __x ,
                                                                                          float __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fminimum_mag_numf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:439 VKEY=3855 */

/* BEGIN FUNCTION-DECL-EXTERN __fmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=4465 */
#line 373
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __fmal)(long double __x ,
                                                                                     long double __y ,
                                                                                     long double __z ) ;
/* END FUNCTION-DECL-EXTERN __fmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=4465 */

/* BEGIN FUNCTION-DECL-EXTERN atanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=4013 */
#line 107
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) atanhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN atanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:107 VKEY=4013 */

/* BEGIN FUNCTION-DECL-EXTERN __ctype_get_mb_cur_max LOC=/usr/include/stdlib.h:98 VKEY=976 */
#line 98 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__leaf__)) __ctype_get_mb_cur_max)(void) ;
/* END FUNCTION-DECL-EXTERN __ctype_get_mb_cur_max LOC=/usr/include/stdlib.h:98 VKEY=976 */

/* BEGIN TYPEDEF int64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:27 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h"
typedef __int64_t int64_t;
/* END TYPEDEF int64_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:27 */

/* BEGIN FUNCTION-DECL-EXTERN lrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=4410 */
#line 350 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) lrintl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN lrintl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=4410 */

/* BEGIN TYPEDEF pthread_spinlock_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:103 */
#line 103 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef int volatile   pthread_spinlock_t;
/* END TYPEDEF pthread_spinlock_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:103 */

/* BEGIN FUNCTION-DECL-EXTERN tanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3263 */
#line 83 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) tanpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN tanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3263 */

/* BEGIN FUNCTION-DECL-EXTERN __iscanonicall LOC=/usr/include/x86_64-linux-gnu/bits/iscanonical.h:23 VKEY=4696 */
#line 23 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __iscanonicall)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __iscanonicall LOC=/usr/include/x86_64-linux-gnu/bits/iscanonical.h:23 VKEY=4696 */

/* BEGIN FUNCTION-DECL-EXTERN tgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=4282 */
#line 271 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) tgammal)(long double  ) ;
/* END FUNCTION-DECL-EXTERN tgammal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:271 VKEY=4282 */

/* BEGIN TYPEDEF uint32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:26 */
#line 26 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h"
typedef __uint32_t uint32_t;
/* END TYPEDEF uint32_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h:26 */

/* BEGIN TYPEDEF int_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:25 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __int_least8_t int_least8_t;
/* END TYPEDEF int_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:25 */

/* BEGIN TYPEDEF int_fast64_t LOC=/usr/include/stdint.h:51 */
#line 51 "/usr/include/stdint.h"
typedef long int_fast64_t;
/* END TYPEDEF int_fast64_t LOC=/usr/include/stdint.h:51 */

/* BEGIN FUNCTION-DECL-EXTERN rindex LOC=/usr/include/strings.h:96 VKEY=1874 */
#line 96 "/usr/include/strings.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1), __leaf__)) rindex)(char const   *__s ,
                                                                                               int __c )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN rindex LOC=/usr/include/strings.h:96 VKEY=1874 */

/* BEGIN FUNCTION-DECL-EXTERN strcpy LOC=/usr/include/string.h:141 VKEY=1673 */
#line 141 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strcpy)(char * __restrict  __dest ,
                                                                                                 char const   * __restrict  __src ) ;
/* END FUNCTION-DECL-EXTERN strcpy LOC=/usr/include/string.h:141 VKEY=1673 */

/* BEGIN FUNCTION-DECL-EXTERN __log2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=3416 */
#line 166 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __log2f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __log2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=3416 */

/* BEGIN FUNCTION-DECL-EXTERN __rintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=3593 */
#line 292
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __rintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __rintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:292 VKEY=3593 */

/* BEGIN FUNCTION-DECL-EXTERN __nextdownf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=3619 */
#line 302
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __nextdownf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __nextdownf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:302 VKEY=3619 */

/* BEGIN FUNCTION-DECL-EXTERN toupper LOC=/usr/include/ctype.h:125 VKEY=4744 */
#line 125 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) toupper)(int __c ) ;
/* END FUNCTION-DECL-EXTERN toupper LOC=/usr/include/ctype.h:125 VKEY=4744 */

/* BEGIN FUNCTION-DECL-EXTERN fdiv LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:27 VKEY=4612 */
#line 27 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fdiv)(double __x ,
                                                                             double __y ) ;
/* END FUNCTION-DECL-EXTERN fdiv LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:27 VKEY=4612 */

/* BEGIN FUNCTION-DECL-EXTERN __expf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=3308 */
#line 113 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __expf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __expf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:113 VKEY=3308 */

/* BEGIN FUNCTION-DECL-EXTERN __ldexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=4042 */
#line 119
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __ldexpl)(long double __x ,
                                                                                       int __exponent ) ;
/* END FUNCTION-DECL-EXTERN __ldexpl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=4042 */

/* BEGIN TYPEDEF pthread_barrier_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:108 */
#line 108 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
typedef union __anonunion_pthread_barrier_t_145707746 pthread_barrier_t;
/* END TYPEDEF pthread_barrier_t LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:108 */

/* BEGIN FUNCTION-DECL-EXTERN frexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=2599 */
#line 116 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) frexp)(double __x ,
                                                                               int *__exponent ) ;
/* END FUNCTION-DECL-EXTERN frexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:116 VKEY=2599 */

/* BEGIN FUNCTION-DECL-EXTERN __y0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=3531 */
#line 256
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __y0f)(float  ) ;
/* END FUNCTION-DECL-EXTERN __y0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:256 VKEY=3531 */

/* BEGIN FUNCTION-DECL-EXTERN nextafterf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=3598 */
#line 295
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) nextafterf)(float __x ,
                                                                                   float __y ) ;
/* END FUNCTION-DECL-EXTERN nextafterf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:295 VKEY=3598 */

/* BEGIN FUNCTION-DECL-EXTERN __uflow LOC=/usr/include/stdio.h:949 VKEY=2432 */
#line 949 "/usr/include/stdio.h"
extern int __uflow(FILE * ) ;
/* END FUNCTION-DECL-EXTERN __uflow LOC=/usr/include/stdio.h:949 VKEY=2432 */

/* BEGIN FUNCTION-DECL-EXTERN __exp10m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=2654 */
#line 138 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __exp10m1)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __exp10m1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:138 VKEY=2654 */

/* BEGIN FUNCTION-DECL-EXTERN lldiv LOC=/usr/include/stdlib.h:998 VKEY=1469 */
#line 998 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) lldiv_t ( __attribute__((__leaf__)) lldiv)(long long __numer ,
                                                                                long long __denom )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN lldiv LOC=/usr/include/stdlib.h:998 VKEY=1469 */

/* BEGIN FUNCTION-DECL-EXTERN isxdigit LOC=/usr/include/ctype.h:118 VKEY=4738 */
#line 118 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) isxdigit)(int  ) ;
/* END FUNCTION-DECL-EXTERN isxdigit LOC=/usr/include/ctype.h:118 VKEY=4738 */

/* BEGIN FUNCTION-DECL-EXTERN printf LOC=/usr/include/stdio.h:363 VKEY=2083 */
#line 363 "/usr/include/stdio.h"
extern int printf(char const   * __restrict  __format  , ...) ;
/* END FUNCTION-DECL-EXTERN printf LOC=/usr/include/stdio.h:363 VKEY=2083 */

/* BEGIN FUNCTION-DECL-EXTERN __lrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=3699 */
#line 350 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __lrintf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __lrintf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:350 VKEY=3699 */

/* BEGIN FUNCTION-DECL-EXTERN fmul LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:33 VKEY=4624 */
#line 33 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) fmul)(double __x ,
                                                                             double __y ) ;
/* END FUNCTION-DECL-EXTERN fmul LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h:33 VKEY=4624 */

/* BEGIN STRUCT-DECL __pthread_cond_s LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:94 23 */
#line 94 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
struct __pthread_cond_s ;
/* END STRUCT-DECL __pthread_cond_s LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:94 23 */

/* BEGIN FUNCTION-DECL-EXTERN remquof LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=3686 */
#line 343 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) remquof)(float __x ,
                                                                                float __y ,
                                                                                int *__quo ) ;
/* END FUNCTION-DECL-EXTERN remquof LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:343 VKEY=3686 */

/* BEGIN FUNCTION-DECL-EXTERN srandom LOC=/usr/include/stdlib.h:524 VKEY=1171 */
#line 524 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__leaf__)) srandom)(unsigned int __seed ) ;
/* END FUNCTION-DECL-EXTERN srandom LOC=/usr/include/stdlib.h:524 VKEY=1171 */

/* BEGIN FUNCTION-DECL-EXTERN fabsl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:195 VKEY=4168 */
#line 195 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fabsl)(long double __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fabsl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:195 VKEY=4168 */

/* BEGIN FUNCTION-DECL-EXTERN fgetc LOC=/usr/include/stdio.h:575 VKEY=2219 */
#line 575 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(1))) fgetc)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fgetc LOC=/usr/include/stdio.h:575 VKEY=2219 */

/* BEGIN FUNCTION-DECL-EXTERN __tanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3998 */
#line 93 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __tanhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __tanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3998 */

/* BEGIN FUNCTION-DECL-EXTERN __scalblnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=4381 */
#line 326
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __scalblnl)(long double __x ,
                                                                                         long __n ) ;
/* END FUNCTION-DECL-EXTERN __scalblnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=4381 */

/* BEGIN FUNCTION-DECL-EXTERN __tanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3266 */
#line 83
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __tanpif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __tanpif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:83 VKEY=3266 */

/* BEGIN UNION __anonunion_pthread_condattr_t_488594145 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:41 CKEY=26 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h"
union __anonunion_pthread_condattr_t_488594145 {
   char __size[4] ;
   int __align ;
};
/* END UNION __anonunion_pthread_condattr_t_488594145 LOC=/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h:41 CKEY=26 */

/* BEGIN FUNCTION-DECL-EXTERN canonicalizel LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:403 VKEY=4529 */
#line 403 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) canonicalizel)(long double *__cx ,
                                                                                    long double const   *__x ) ;
/* END FUNCTION-DECL-EXTERN canonicalizel LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:403 VKEY=4529 */

/* BEGIN FUNCTION-DECL-EXTERN strtouq LOC=/usr/include/stdlib.h:193 VKEY=1031 */
#line 193 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) unsigned long long ( __attribute__((__nonnull__(1),
__leaf__)) strtouq)(char const   * __restrict  __nptr , char ** __restrict  __endptr ,
                    int __base )  __asm__("__isoc23_strtoull")  ;
/* END FUNCTION-DECL-EXTERN strtouq LOC=/usr/include/stdlib.h:193 VKEY=1031 */

/* BEGIN FUNCTION-DECL-EXTERN __log10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=3340 */
#line 125 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __log10f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __log10f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:125 VKEY=3340 */

/* BEGIN FUNCTION-DECL-EXTERN modff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=3345 */
#line 128
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) modff)(float __x ,
                                                                              float *__iptr ) ;
/* END FUNCTION-DECL-EXTERN modff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:128 VKEY=3345 */

/* BEGIN FUNCTION-DECL-EXTERN tolower LOC=/usr/include/ctype.h:122 VKEY=4741 */
#line 122 "/usr/include/ctype.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) tolower)(int __c ) ;
/* END FUNCTION-DECL-EXTERN tolower LOC=/usr/include/ctype.h:122 VKEY=4741 */

/* BEGIN FUNCTION-DECL-EXTERN __tanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3220 */
#line 66 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __tanf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __tanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:66 VKEY=3220 */

/* BEGIN FUNCTION-DECL-EXTERN rand_r LOC=/usr/include/stdlib.h:579 VKEY=1214 */
#line 579 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) rand_r)(unsigned int *__seed ) ;
/* END FUNCTION-DECL-EXTERN rand_r LOC=/usr/include/stdlib.h:579 VKEY=1214 */

/* BEGIN FUNCTION-DECL-EXTERN iniciaC LOC=/tmp/forklift_obfu_ecfkw6la/input.c:41 VKEY=4867 */
#line 41 "/tmp/forklift_obfu_ecfkw6la/input.c"
extern int iniciaC(TYPE_1__ * ) ;
/* END FUNCTION-DECL-EXTERN iniciaC LOC=/tmp/forklift_obfu_ecfkw6la/input.c:41 VKEY=4867 */

/* BEGIN FUNCTION-DECL-EXTERN fmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=4458 */
#line 373 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) fmal)(long double __x ,
                                                                                   long double __y ,
                                                                                   long double __z ) ;
/* END FUNCTION-DECL-EXTERN fmal LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:373 VKEY=4458 */

/* BEGIN VARIABLE-DECL _TIG_IZ_Gv2W_argc LOC=UNKNOWN VKEY=4881 */
int _TIG_IZ_Gv2W_argc ;
/* END VARIABLE-DECL _TIG_IZ_Gv2W_argc LOC=UNKNOWN VKEY=4881 */

/* BEGIN FUNCTION-DECL-EXTERN rpmatch LOC=/usr/include/stdlib.h:1088 VKEY=1605 */
#line 1088 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) rpmatch)(char const   *__response ) ;
/* END FUNCTION-DECL-EXTERN rpmatch LOC=/usr/include/stdlib.h:1088 VKEY=1605 */

/* BEGIN FUNCTION-DECL-EXTERN log LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=2617 */
#line 122 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) log)(double __x ) ;
/* END FUNCTION-DECL-EXTERN log LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:122 VKEY=2617 */

/* BEGIN FUNCTION-DECL-EXTERN __atan2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3916 */
#line 59
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __atan2l)(long double __y ,
                                                                                       long double __x ) ;
/* END FUNCTION-DECL-EXTERN __atan2l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:59 VKEY=3916 */

/* BEGIN FUNCTION-DECL-EXTERN __coshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3986 */
#line 89
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __coshl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __coshl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:89 VKEY=3986 */

/* BEGIN FUNCTION-DECL-EXTERN __exp2m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=3362 */
#line 135
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __exp2m1f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __exp2m1f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:135 VKEY=3362 */

/* BEGIN FUNCTION-DECL-EXTERN ufromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=4517 */
#line 399
extern  __attribute__((__nothrow__)) __uintmax_t ( __attribute__((__leaf__)) ufromfpxl)(long double __x ,
                                                                                        int __round ,
                                                                                        unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN ufromfpxl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:399 VKEY=4517 */

/* BEGIN FUNCTION-DECL-EXTERN rewind LOC=/usr/include/stdio.h:780 VKEY=2362 */
#line 780 "/usr/include/stdio.h"
extern void ( __attribute__((__nonnull__(1))) rewind)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN rewind LOC=/usr/include/stdio.h:780 VKEY=2362 */

/* BEGIN FUNCTION-DECL-EXTERN unsetenv LOC=/usr/include/stdlib.h:796 VKEY=1398 */
#line 796 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1), __leaf__)) unsetenv)(char const   *__name ) ;
/* END FUNCTION-DECL-EXTERN unsetenv LOC=/usr/include/stdlib.h:796 VKEY=1398 */

/* BEGIN FUNCTION-DECL-EXTERN lgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=2848 */
#line 266 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) lgamma)(double  ) ;
/* END FUNCTION-DECL-EXTERN lgamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:266 VKEY=2848 */

/* BEGIN FUNCTION-DECL-EXTERN __asinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=2582 */
#line 105
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __asinh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __asinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:105 VKEY=2582 */

/* BEGIN FUNCTION-DECL-EXTERN __remainderl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=4349 */
#line 308
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __remainderl)(long double __x ,
                                                                                           long double __y ) ;
/* END FUNCTION-DECL-EXTERN __remainderl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:308 VKEY=4349 */

/* BEGIN FUNCTION-DECL-EXTERN sin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=2497 */
#line 64
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) sin)(double __x ) ;
/* END FUNCTION-DECL-EXTERN sin LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:64 VKEY=2497 */

/* BEGIN FUNCTION-DECL-EXTERN fromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3075 */
#line 393
extern  __attribute__((__nothrow__)) __intmax_t ( __attribute__((__leaf__)) fromfpx)(double __x ,
                                                                                     int __round ,
                                                                                     unsigned int __width ) ;
/* END FUNCTION-DECL-EXTERN fromfpx LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:393 VKEY=3075 */

/* BEGIN FUNCTION-DECL-EXTERN __logbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=3404 */
#line 158
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __logbf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __logbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:158 VKEY=3404 */

/* BEGIN FUNCTION-DECL-EXTERN funlockfile LOC=/usr/include/stdio.h:938 VKEY=2429 */
#line 938 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) void ( __attribute__((__nonnull__(1), __leaf__)) funlockfile)(FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN funlockfile LOC=/usr/include/stdio.h:938 VKEY=2429 */

/* BEGIN FUNCTION-DECL-EXTERN __iseqsigl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=3885 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __iseqsigl)(long double __x ,
                                                                                 long double __y ) ;
/* END FUNCTION-DECL-EXTERN __iseqsigl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=3885 */

/* BEGIN FUNCTION-DECL-EXTERN strspn LOC=/usr/include/string.h:297 VKEY=1765 */
#line 297 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) size_t ( __attribute__((__nonnull__(1,2), __leaf__)) strspn)(char const   *__s ,
                                                                                                  char const   *__accept )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strspn LOC=/usr/include/string.h:297 VKEY=1765 */

/* BEGIN FUNCTION-DECL-EXTERN acospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3223 */
#line 70 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) acospif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN acospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3223 */

/* BEGIN FUNCTION-DECL-EXTERN log2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=2699 */
#line 166
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) log2)(double __x ) ;
/* END FUNCTION-DECL-EXTERN log2 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:166 VKEY=2699 */

/* BEGIN TYPEDEF u_int8_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:158 */
#line 158 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __uint8_t u_int8_t;
/* END TYPEDEF u_int8_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:158 */

/* BEGIN STRUCT-DECL __anonstruct_ldiv_t_790849867 LOC=/usr/include/stdlib.h:67 10 */
#line 67 "/usr/include/stdlib.h"
struct __anonstruct_ldiv_t_790849867 ;
/* END STRUCT-DECL __anonstruct_ldiv_t_790849867 LOC=/usr/include/stdlib.h:67 10 */

/* BEGIN FUNCTION-DECL-EXTERN ctermid LOC=/usr/include/stdio.h:901 VKEY=2420 */
#line 901 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__leaf__)) ctermid)(char *__s )  __attribute__((__access__(__write_only__,1))) ;
/* END FUNCTION-DECL-EXTERN ctermid LOC=/usr/include/stdio.h:901 VKEY=2420 */

/* BEGIN FUNCTION-DECL-EXTERN __scalbnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=4359 */
#line 312 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __scalbnl)(long double __x ,
                                                                                        int __n ) ;
/* END FUNCTION-DECL-EXTERN __scalbnl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:312 VKEY=4359 */

/* BEGIN FUNCTION-DECL-EXTERN fmaximum_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:424 VKEY=3116 */
#line 424
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) fmaximum_num)(double __x ,
                                                                                      double __y )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN fmaximum_num LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:424 VKEY=3116 */

/* BEGIN FUNCTION-DECL-EXTERN vaciaC LOC=/tmp/forklift_obfu_ecfkw6la/input.c:42 VKEY=4870 */
#line 42 "/tmp/forklift_obfu_ecfkw6la/input.c"
extern int vaciaC(TYPE_1__  ) ;
/* END FUNCTION-DECL-EXTERN vaciaC LOC=/tmp/forklift_obfu_ecfkw6la/input.c:42 VKEY=4870 */

/* BEGIN FUNCTION-DECL-EXTERN vsscanf LOC=/usr/include/stdio.h:502 VKEY=2197 */
#line 502 "/usr/include/stdio.h"
extern  __attribute__((__nothrow__)) int ( /* format attribute */ __attribute__((__leaf__)) vsscanf)(char const   * __restrict  __s ,
                                                                                                     char const   * __restrict  __format ,
                                                                                                     __gnuc_va_list __arg )  __asm__("__isoc23_vsscanf")  ;
/* END FUNCTION-DECL-EXTERN vsscanf LOC=/usr/include/stdio.h:502 VKEY=2197 */

/* BEGIN FUNCTION-DECL-EXTERN tanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3995 */
#line 93 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) tanhl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN tanhl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:93 VKEY=3995 */

/* BEGIN FUNCTION-DECL-EXTERN pselect LOC=/usr/include/x86_64-linux-gnu/sys/select.h:127 VKEY=1165 */
#line 127 "/usr/include/x86_64-linux-gnu/sys/select.h"
extern int pselect(int __nfds , fd_set * __restrict  __readfds , fd_set * __restrict  __writefds ,
                   fd_set * __restrict  __exceptfds , struct timespec  const  * __restrict  __timeout ,
                   __sigset_t const   * __restrict  __sigmask ) ;
/* END FUNCTION-DECL-EXTERN pselect LOC=/usr/include/x86_64-linux-gnu/sys/select.h:127 VKEY=1165 */

/* BEGIN ENUM-DECL __anonenum_913965969 LOC=/usr/include/math.h:255 */
#line 255 "/usr/include/math.h"
enum __anonenum_913965969 ;
/* END ENUM-DECL __anonenum_913965969 LOC=/usr/include/math.h:255 */

/* BEGIN STRUCT-DECL TYPE_5__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:33 47 */
#line 33 "/tmp/forklift_obfu_ecfkw6la/input.c"
struct TYPE_5__ ;
/* END STRUCT-DECL TYPE_5__ LOC=/tmp/forklift_obfu_ecfkw6la/input.c:33 47 */

/* BEGIN TYPEDEF __sig_atomic_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:215 */
#line 215 "/usr/include/x86_64-linux-gnu/bits/types.h"
typedef int __sig_atomic_t;
/* END TYPEDEF __sig_atomic_t LOC=/usr/include/x86_64-linux-gnu/bits/types.h:215 */

/* BEGIN TYPEDEF intmax_t LOC=/usr/include/stdint.h:90 */
#line 90 "/usr/include/stdint.h"
typedef __intmax_t intmax_t;
/* END TYPEDEF intmax_t LOC=/usr/include/stdint.h:90 */

/* BEGIN FUNCTION-DECL-EXTERN __gammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=3577 */
#line 277 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __gammaf)(float  ) ;
/* END FUNCTION-DECL-EXTERN __gammaf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=3577 */

/* BEGIN FUNCTION-DECL-EXTERN reallocarray LOC=/usr/include/stdlib.h:695 VKEY=1326 */
#line 695 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) void *( __attribute__((__warn_unused_result__,
__leaf__)) reallocarray)(void *__ptr , size_t __nmemb , size_t __size )  __attribute__((__alloc_size__(2,3))) ;
/* END FUNCTION-DECL-EXTERN reallocarray LOC=/usr/include/stdlib.h:695 VKEY=1326 */

/* BEGIN TYPEDEF uint_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:31 */
#line 31 "/usr/include/x86_64-linux-gnu/bits/stdint-least.h"
typedef __uint_least8_t uint_least8_t;
/* END TYPEDEF uint_least8_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-least.h:31 */

/* BEGIN FUNCTION-DECL-EXTERN __atanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3192 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __atanf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __atanf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3192 */

/* BEGIN FUNCTION-DECL-EXTERN y1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=4248 */
#line 257
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) y1l)(long double  ) ;
/* END FUNCTION-DECL-EXTERN y1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:257 VKEY=4248 */

/* BEGIN FUNCTION-DECL-EXTERN logp1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=4097 */
#line 147
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) logp1l)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN logp1l LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:147 VKEY=4097 */

/* BEGIN FUNCTION-DECL-EXTERN __acospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3226 */
#line 70
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __acospif)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __acospif LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:70 VKEY=3226 */

/* BEGIN FUNCTION-DECL-EXTERN __scalblnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=3667 */
#line 326
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __scalblnf)(float __x ,
                                                                                   long __n ) ;
/* END FUNCTION-DECL-EXTERN __scalblnf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:326 VKEY=3667 */

/* BEGIN FUNCTION-DECL-EXTERN __ilogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=3651 */
#line 316
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __ilogbf)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __ilogbf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=3651 */

/* BEGIN FUNCTION-DECL-EXTERN __erfcf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=3559 */
#line 265
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __erfcf)(float  ) ;
/* END FUNCTION-DECL-EXTERN __erfcf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:265 VKEY=3559 */

/* BEGIN FUNCTION-DECL-EXTERN ldexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=2609 */
#line 119
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) ldexp)(double __x ,
                                                                               int __exponent ) ;
/* END FUNCTION-DECL-EXTERN ldexp LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:119 VKEY=2609 */

/* BEGIN FUNCTION-DECL-EXTERN __exp2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=3410 */
#line 163
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __exp2f)(float __x ) ;
/* END FUNCTION-DECL-EXTERN __exp2f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:163 VKEY=3410 */

/* BEGIN FUNCTION-DECL-EXTERN fputc_unlocked LOC=/usr/include/stdio.h:627 VKEY=2252 */
#line 627 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(2))) fputc_unlocked)(int __c , FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN fputc_unlocked LOC=/usr/include/stdio.h:627 VKEY=2252 */

/* BEGIN FUNCTION-DECL-EXTERN strfroml LOC=/usr/include/stdlib.h:286 VKEY=1114 */
#line 286 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(3), __leaf__)) strfroml)(char *__dest ,
                                                                                               size_t __size ,
                                                                                               char const   *__format ,
                                                                                               long double __f ) ;
/* END FUNCTION-DECL-EXTERN strfroml LOC=/usr/include/stdlib.h:286 VKEY=1114 */

/* BEGIN FUNCTION-DECL-EXTERN putw LOC=/usr/include/stdio.h:646 VKEY=2268 */
#line 646 "/usr/include/stdio.h"
extern int ( __attribute__((__nonnull__(2))) putw)(int __w , FILE *__stream ) ;
/* END FUNCTION-DECL-EXTERN putw LOC=/usr/include/stdio.h:646 VKEY=2268 */

/* BEGIN TYPEDEF uintptr_t___0 LOC=/tmp/forklift_obfu_ecfkw6la/input.c:28 */
#line 28 "/tmp/forklift_obfu_ecfkw6la/input.c"
typedef unsigned long uintptr_t___0;
/* END TYPEDEF uintptr_t___0 LOC=/tmp/forklift_obfu_ecfkw6la/input.c:28 */

/* BEGIN FUNCTION-DECL-EXTERN vscanf LOC=/usr/include/stdio.h:498 VKEY=2190 */
#line 498 "/usr/include/stdio.h"
extern int ( /* format attribute */  vscanf)(char const   * __restrict  __format ,
                                             __gnuc_va_list __arg )  __asm__("__isoc23_vscanf")  ;
/* END FUNCTION-DECL-EXTERN vscanf LOC=/usr/include/stdio.h:498 VKEY=2190 */

/* BEGIN FUNCTION-DECL-EXTERN strcasestr LOC=/usr/include/string.h:380 VKEY=1799 */
#line 380 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strcasestr)(char const   *__haystack ,
                                                                                                     char const   *__needle )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcasestr LOC=/usr/include/string.h:380 VKEY=1799 */

/* BEGIN FUNCTION-DECL-EXTERN __ynf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=3547 */
#line 258 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) __ynf)(int  ,
                                                                              float  ) ;
/* END FUNCTION-DECL-EXTERN __ynf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:258 VKEY=3547 */

/* BEGIN FUNCTION-DECL-EXTERN finite LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:216 VKEY=2759 */
#line 216
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) finite)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN finite LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:216 VKEY=2759 */

/* BEGIN STRUCT-DECL _G_fpos_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h:10 40 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h"
struct _G_fpos_t ;
/* END STRUCT-DECL _G_fpos_t LOC=/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h:10 40 */

/* BEGIN VARIABLE-DECL-EXTERN signgam LOC=/usr/include/math.h:823 VKEY=4693 */
#line 823 "/usr/include/math.h"
extern int signgam ;
/* END VARIABLE-DECL-EXTERN signgam LOC=/usr/include/math.h:823 VKEY=4693 */

/* BEGIN TYPEDEF int16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:25 */
#line 25 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h"
typedef __int16_t int16_t;
/* END TYPEDEF int16_t LOC=/usr/include/x86_64-linux-gnu/bits/stdint-intn.h:25 */

/* BEGIN TYPEDEF int_fast32_t LOC=/usr/include/stdint.h:50 */
#line 50 "/usr/include/stdint.h"
typedef long int_fast32_t;
/* END TYPEDEF int_fast32_t LOC=/usr/include/stdint.h:50 */

/* BEGIN FUNCTION-DECL-EXTERN __fpclassify LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=2440 */
#line 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __fpclassify)(double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __fpclassify LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:20 VKEY=2440 */

/* BEGIN FUNCTION-DECL-EXTERN __atan2pi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=2534 */
#line 76 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __atan2pi)(double __y ,
                                                                                   double __x ) ;
/* END FUNCTION-DECL-EXTERN __atan2pi LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:76 VKEY=2534 */

/* BEGIN TYPEDEF __tss_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:106 */
#line 106 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h"
typedef unsigned int __tss_t;
/* END TYPEDEF __tss_t LOC=/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h:106 */

/* BEGIN FUNCTION-DECL-EXTERN __iseqsigf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=4599 */
#line 41 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __iseqsigf128)(_Float128 __x ,
                                                                                    _Float128 __y ) ;
/* END FUNCTION-DECL-EXTERN __iseqsigf128 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:41 VKEY=4599 */

/* BEGIN TYPEDEF nlink_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:74 */
#line 74 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __nlink_t nlink_t;
/* END TYPEDEF nlink_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:74 */

/* BEGIN FUNCTION-DECL-EXTERN strcmp LOC=/usr/include/string.h:156 VKEY=1697 */
#line 156 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) strcmp)(char const   *__s1 ,
                                                                                               char const   *__s2 )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN strcmp LOC=/usr/include/string.h:156 VKEY=1697 */

/* BEGIN FUNCTION-DECL-EXTERN __atanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3906 */
#line 57 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __atanl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __atanl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:57 VKEY=3906 */

/* BEGIN FUNCTION-DECL-EXTERN initstate_r LOC=/usr/include/stdlib.h:560 VKEY=1200 */
#line 560 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(2,4), __leaf__)) initstate_r)(unsigned int __seed ,
                                                                                                    char * __restrict  __statebuf ,
                                                                                                    size_t __statelen ,
                                                                                                    struct random_data * __restrict  __buf ) ;
/* END FUNCTION-DECL-EXTERN initstate_r LOC=/usr/include/stdlib.h:560 VKEY=1200 */

/* BEGIN FUNCTION-DECL-EXTERN truncf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:338 VKEY=3679 */
#line 338 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) truncf)(float __x )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN truncf LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:338 VKEY=3679 */

/* BEGIN FUNCTION-DECL-EXTERN __acos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=2466 */
#line 53
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __acos)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __acos LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:53 VKEY=2466 */

/* BEGIN FUNCTION-DECL-EXTERN __sinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=2564 */
#line 91
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __sinh)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __sinh LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:91 VKEY=2564 */

/* BEGIN FUNCTION-DECL-EXTERN __isinff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=3160 */
#line 29 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __isinff)(float __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN __isinff LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h:29 VKEY=3160 */

/* BEGIN STRUCT timespec LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h:11 15 */
#line 11 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h"
struct timespec {
   __time_t tv_sec ;
   __syscall_slong_t tv_nsec ;
};
/* END STRUCT timespec LOC=/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h:11 15 */

/* BEGIN TYPEDEF mode_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:69 */
#line 69 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __mode_t mode_t;
/* END TYPEDEF mode_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:69 */

/* BEGIN FUNCTION-DECL-EXTERN __ilogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=2937 */
#line 316 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) __ilogb)(double __x ) ;
/* END FUNCTION-DECL-EXTERN __ilogb LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:316 VKEY=2937 */

/* BEGIN FUNCTION-DECL-EXTERN finitel LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:216 VKEY=4187 */
#line 216
extern  __attribute__((__nothrow__)) int ( __attribute__((__leaf__)) finitel)(long double __value )  __attribute__((__const__)) ;
/* END FUNCTION-DECL-EXTERN finitel LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:216 VKEY=4187 */

/* BEGIN TYPEDEF __compar_fn_t LOC=/usr/include/stdlib.h:948 */
#line 948 "/usr/include/stdlib.h"
typedef int (*__compar_fn_t)(void const   * , void const   * );
/* END TYPEDEF __compar_fn_t LOC=/usr/include/stdlib.h:948 */

/* BEGIN TYPEDEF time_t LOC=/usr/include/x86_64-linux-gnu/bits/types/time_t.h:10 */
#line 10 "/usr/include/x86_64-linux-gnu/bits/types/time_t.h"
typedef __time_t time_t;
/* END TYPEDEF time_t LOC=/usr/include/x86_64-linux-gnu/bits/types/time_t.h:10 */

/* BEGIN FUNCTION-DECL-EXTERN memcmp LOC=/usr/include/string.h:64 VKEY=1654 */
#line 64 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) int ( __attribute__((__nonnull__(1,2), __leaf__)) memcmp)(void const   *__s1 ,
                                                                                               void const   *__s2 ,
                                                                                               size_t __n )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN memcmp LOC=/usr/include/string.h:64 VKEY=1654 */

/* BEGIN TYPEDEF u_quad_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:38 */
#line 38 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __u_quad_t u_quad_t;
/* END TYPEDEF u_quad_t LOC=/usr/include/x86_64-linux-gnu/sys/types.h:38 */

/* BEGIN FUNCTION-DECL-EXTERN __lroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=4425 */
#line 356 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long ( __attribute__((__leaf__)) __lroundl)(long double __x ) ;
/* END FUNCTION-DECL-EXTERN __lroundl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:356 VKEY=4425 */

/* BEGIN FUNCTION-DECL __uint16_identity LOC=UNKNOWN VKEY=1133 */
__inline static __uint16_t __uint16_identity(__uint16_t __x ) ;
/* END FUNCTION-DECL __uint16_identity LOC=UNKNOWN VKEY=1133 */

/* BEGIN FUNCTION-DECL-EXTERN j0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=3506 */
#line 253
extern  __attribute__((__nothrow__)) float ( __attribute__((__leaf__)) j0f)(float  ) ;
/* END FUNCTION-DECL-EXTERN j0f LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:253 VKEY=3506 */

/* BEGIN FUNCTION-DECL-EXTERN atof LOC=/usr/include/stdlib.h:102 VKEY=979 */
#line 102 "/usr/include/stdlib.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__nonnull__(1), __leaf__)) atof)(char const   *__nptr )  __attribute__((__pure__)) ;
/* END FUNCTION-DECL-EXTERN atof LOC=/usr/include/stdlib.h:102 VKEY=979 */

/* BEGIN FUNCTION-DECL-EXTERN __j1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=2801 */
#line 254 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) __j1)(double  ) ;
/* END FUNCTION-DECL-EXTERN __j1 LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:254 VKEY=2801 */

/* BEGIN FUNCTION-DECL-EXTERN strcat LOC=/usr/include/string.h:149 VKEY=1685 */
#line 149 "/usr/include/string.h"
extern  __attribute__((__nothrow__)) char *( __attribute__((__nonnull__(1,2), __leaf__)) strcat)(char * __restrict  __dest ,
                                                                                                 char const   * __restrict  __src ) ;
/* END FUNCTION-DECL-EXTERN strcat LOC=/usr/include/string.h:149 VKEY=1685 */

/* BEGIN TYPEDEF uint_fast32_t LOC=/usr/include/stdint.h:63 */
#line 63 "/usr/include/stdint.h"
typedef unsigned long uint_fast32_t;
/* END TYPEDEF uint_fast32_t LOC=/usr/include/stdint.h:63 */

/* BEGIN FUNCTION-DECL-EXTERN gamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=2860 */
#line 277 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) double ( __attribute__((__leaf__)) gamma)(double  ) ;
/* END FUNCTION-DECL-EXTERN gamma LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:277 VKEY=2860 */

/* BEGIN FUNCTION-DECL-EXTERN fgets LOC=/usr/include/stdio.h:654 VKEY=2275 */
#line 654 "/usr/include/stdio.h"
extern char *( __attribute__((__nonnull__(3))) fgets)(char * __restrict  __s , int __n ,
                                                      FILE * __restrict  __stream )  __attribute__((__access__(__write_only__,1,2))) ;
/* END FUNCTION-DECL-EXTERN fgets LOC=/usr/include/stdio.h:654 VKEY=2275 */

/* BEGIN TYPEDEF u_int LOC=/usr/include/x86_64-linux-gnu/sys/types.h:35 */
#line 35 "/usr/include/x86_64-linux-gnu/sys/types.h"
typedef __u_int u_int;
/* END TYPEDEF u_int LOC=/usr/include/x86_64-linux-gnu/sys/types.h:35 */

/* BEGIN FUNCTION-DECL-EXTERN __nexttowardl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=4327 */
#line 297 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h"
extern  __attribute__((__nothrow__)) long double ( __attribute__((__leaf__)) __nexttowardl)(long double __x ,
                                                                                            long double __y ) ;
/* END FUNCTION-DECL-EXTERN __nexttowardl LOC=/usr/include/x86_64-linux-gnu/bits/mathcalls.h:297 VKEY=4327 */