#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "2nthrt (problem 3.4.6)";

double f_if(float x, float n) {
        float r22790 = x;
        float r22791 = 1;
        float r22792 = r22790 + r22791;
        float r22793 = n;
        float r22794 = r22791 / r22793;
        float r22795 = pow(r22792, r22794);
        float r22796 = pow(r22790, r22794);
        float r22797 = r22795 - r22796;
        return r22797;
}

double f_id(double x, double n) {
        double r22798 = x;
        double r22799 = 1;
        double r22800 = r22798 + r22799;
        double r22801 = n;
        double r22802 = r22799 / r22801;
        double r22803 = pow(r22800, r22802);
        double r22804 = pow(r22798, r22802);
        double r22805 = r22803 - r22804;
        return r22805;
}


double f_of(float x, float n) {
        float r22806 = x;
        float r22807 = 0.8385424682349487;
        bool r22808 = r22806 <= r22807;
        float r22809 = 1;
        float r22810 = r22809 + r22806;
        float r22811 = n;
        float r22812 = r22809 / r22811;
        float r22813 = pow(r22810, r22812);
        float r22814 = r22813 - r22809;
        float r22815 = log(r22806);
        float r22816 = 1/2;
        float r22817 = r22816 / r22811;
        float r22818 = r22815 * r22817;
        float r22819 = r22811 / r22815;
        float r22820 = r22818 / r22819;
        float r22821 = r22814 - r22820;
        float r22822 = r22815 / r22811;
        float r22823 = r22821 - r22822;
        float r22824 = 5.984857460889397e+68;
        bool r22825 = r22806 <= r22824;
        float r22826 = r22806 * r22811;
        float r22827 = r22809 / r22826;
        float r22828 = r22816 / r22806;
        float r22829 = r22828 / r22826;
        float r22830 = r22827 - r22829;
        float r22831 = r22811 * r22811;
        float r22832 = r22831 * r22806;
        float r22833 = r22815 / r22832;
        float r22834 = r22830 + r22833;
        float r22835 = 5.538161835309689e+77;
        bool r22836 = r22806 <= r22835;
        float r22837 = r22806 + r22809;
        float r22838 = pow(r22837, r22812);
        float r22839 = exp(r22822);
        float r22840 = r22838 - r22839;
        float r22841 = cbrt(r22840);
        float r22842 = r22841 * r22841;
        float r22843 = sqrt(r22837);
        float r22844 = pow(r22843, r22812);
        float r22845 = sqrt(r22839);
        float r22846 = r22844 + r22845;
        float r22847 = sqrt(r22810);
        float r22848 = pow(r22847, r22812);
        float r22849 = r22848 - r22845;
        float r22850 = exp(r22849);
        float r22851 = log(r22850);
        float r22852 = r22846 * r22851;
        float r22853 = cbrt(r22852);
        float r22854 = r22842 * r22853;
        float r22855 = 7.394087600696336e+134;
        bool r22856 = r22806 <= r22855;
        float r22857 = r22856 ? r22834 : r22854;
        float r22858 = r22836 ? r22854 : r22857;
        float r22859 = r22825 ? r22834 : r22858;
        float r22860 = r22808 ? r22823 : r22859;
        return r22860;
}

double f_od(double x, double n) {
        double r22861 = x;
        double r22862 = 0.8385424682349487;
        bool r22863 = r22861 <= r22862;
        double r22864 = 1;
        double r22865 = r22864 + r22861;
        double r22866 = n;
        double r22867 = r22864 / r22866;
        double r22868 = pow(r22865, r22867);
        double r22869 = r22868 - r22864;
        double r22870 = log(r22861);
        double r22871 = 1/2;
        double r22872 = r22871 / r22866;
        double r22873 = r22870 * r22872;
        double r22874 = r22866 / r22870;
        double r22875 = r22873 / r22874;
        double r22876 = r22869 - r22875;
        double r22877 = r22870 / r22866;
        double r22878 = r22876 - r22877;
        double r22879 = 5.984857460889397e+68;
        bool r22880 = r22861 <= r22879;
        double r22881 = r22861 * r22866;
        double r22882 = r22864 / r22881;
        double r22883 = r22871 / r22861;
        double r22884 = r22883 / r22881;
        double r22885 = r22882 - r22884;
        double r22886 = r22866 * r22866;
        double r22887 = r22886 * r22861;
        double r22888 = r22870 / r22887;
        double r22889 = r22885 + r22888;
        double r22890 = 5.538161835309689e+77;
        bool r22891 = r22861 <= r22890;
        double r22892 = r22861 + r22864;
        double r22893 = pow(r22892, r22867);
        double r22894 = exp(r22877);
        double r22895 = r22893 - r22894;
        double r22896 = cbrt(r22895);
        double r22897 = r22896 * r22896;
        double r22898 = sqrt(r22892);
        double r22899 = pow(r22898, r22867);
        double r22900 = sqrt(r22894);
        double r22901 = r22899 + r22900;
        double r22902 = sqrt(r22865);
        double r22903 = pow(r22902, r22867);
        double r22904 = r22903 - r22900;
        double r22905 = exp(r22904);
        double r22906 = log(r22905);
        double r22907 = r22901 * r22906;
        double r22908 = cbrt(r22907);
        double r22909 = r22897 * r22908;
        double r22910 = 7.394087600696336e+134;
        bool r22911 = r22861 <= r22910;
        double r22912 = r22911 ? r22889 : r22909;
        double r22913 = r22891 ? r22909 : r22912;
        double r22914 = r22880 ? r22889 : r22913;
        double r22915 = r22863 ? r22878 : r22914;
        return r22915;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22916);
        mpfr_init_set_str(r22917, "1", 10, MPFR_RNDN);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
}

double f_im(double x, double n) {
        mpfr_set_d(r22916, x, MPFR_RNDN);
        ;
        mpfr_add(r22918, r22916, r22917, MPFR_RNDN);
        mpfr_set_d(r22919, n, MPFR_RNDN);
        mpfr_div(r22920, r22917, r22919, MPFR_RNDN);
        mpfr_pow(r22921, r22918, r22920, MPFR_RNDN);
        mpfr_pow(r22922, r22916, r22920, MPFR_RNDN);
        mpfr_sub(r22923, r22921, r22922, MPFR_RNDN);
        return mpfr_get_d(r22923, MPFR_RNDN);
}

static mpfr_t r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22924);
        mpfr_init_set_str(r22925, "0.8385424682349487", 10, MPFR_RNDN);
        mpfr_init(r22926);
        mpfr_init_set_str(r22927, "1", 10, MPFR_RNDN);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init(r22933);
        mpfr_init_set_str(r22934, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init_set_str(r22942, "5.984857460889397e+68", 10, MPFR_RNDN);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init_set_str(r22953, "5.538161835309689e+77", 10, MPFR_RNDN);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init_set_str(r22973, "7.394087600696336e+134", 10, MPFR_RNDN);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22924, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22926, mpfr_cmp(r22924, r22925) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22928, r22927, r22924, MPFR_RNDN);
        mpfr_set_d(r22929, n, MPFR_RNDN);
        mpfr_div(r22930, r22927, r22929, MPFR_RNDN);
        mpfr_pow(r22931, r22928, r22930, MPFR_RNDN);
        mpfr_sub(r22932, r22931, r22927, MPFR_RNDN);
        mpfr_log(r22933, r22924, MPFR_RNDN);
        ;
        mpfr_div(r22935, r22934, r22929, MPFR_RNDN);
        mpfr_mul(r22936, r22933, r22935, MPFR_RNDN);
        mpfr_div(r22937, r22929, r22933, MPFR_RNDN);
        mpfr_div(r22938, r22936, r22937, MPFR_RNDN);
        mpfr_sub(r22939, r22932, r22938, MPFR_RNDN);
        mpfr_div(r22940, r22933, r22929, MPFR_RNDN);
        mpfr_sub(r22941, r22939, r22940, MPFR_RNDN);
        ;
        mpfr_set_si(r22943, mpfr_cmp(r22924, r22942) <= 0, MPFR_RNDN);
        mpfr_mul(r22944, r22924, r22929, MPFR_RNDN);
        mpfr_div(r22945, r22927, r22944, MPFR_RNDN);
        mpfr_div(r22946, r22934, r22924, MPFR_RNDN);
        mpfr_div(r22947, r22946, r22944, MPFR_RNDN);
        mpfr_sub(r22948, r22945, r22947, MPFR_RNDN);
        mpfr_mul(r22949, r22929, r22929, MPFR_RNDN);
        mpfr_mul(r22950, r22949, r22924, MPFR_RNDN);
        mpfr_div(r22951, r22933, r22950, MPFR_RNDN);
        mpfr_add(r22952, r22948, r22951, MPFR_RNDN);
        ;
        mpfr_set_si(r22954, mpfr_cmp(r22924, r22953) <= 0, MPFR_RNDN);
        mpfr_add(r22955, r22924, r22927, MPFR_RNDN);
        mpfr_pow(r22956, r22955, r22930, MPFR_RNDN);
        mpfr_exp(r22957, r22940, MPFR_RNDN);
        mpfr_sub(r22958, r22956, r22957, MPFR_RNDN);
        mpfr_cbrt(r22959, r22958, MPFR_RNDN);
        mpfr_mul(r22960, r22959, r22959, MPFR_RNDN);
        mpfr_sqrt(r22961, r22955, MPFR_RNDN);
        mpfr_pow(r22962, r22961, r22930, MPFR_RNDN);
        mpfr_sqrt(r22963, r22957, MPFR_RNDN);
        mpfr_add(r22964, r22962, r22963, MPFR_RNDN);
        mpfr_sqrt(r22965, r22928, MPFR_RNDN);
        mpfr_pow(r22966, r22965, r22930, MPFR_RNDN);
        mpfr_sub(r22967, r22966, r22963, MPFR_RNDN);
        mpfr_exp(r22968, r22967, MPFR_RNDN);
        mpfr_log(r22969, r22968, MPFR_RNDN);
        mpfr_mul(r22970, r22964, r22969, MPFR_RNDN);
        mpfr_cbrt(r22971, r22970, MPFR_RNDN);
        mpfr_mul(r22972, r22960, r22971, MPFR_RNDN);
        ;
        mpfr_set_si(r22974, mpfr_cmp(r22924, r22973) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r22974, MPFR_RNDN)) { mpfr_set(r22975, r22952, MPFR_RNDN); } else { mpfr_set(r22975, r22972, MPFR_RNDN); };
        if (mpfr_get_si(r22954, MPFR_RNDN)) { mpfr_set(r22976, r22972, MPFR_RNDN); } else { mpfr_set(r22976, r22975, MPFR_RNDN); };
        if (mpfr_get_si(r22943, MPFR_RNDN)) { mpfr_set(r22977, r22952, MPFR_RNDN); } else { mpfr_set(r22977, r22976, MPFR_RNDN); };
        if (mpfr_get_si(r22926, MPFR_RNDN)) { mpfr_set(r22978, r22941, MPFR_RNDN); } else { mpfr_set(r22978, r22977, MPFR_RNDN); };
        return mpfr_get_d(r22978, MPFR_RNDN);
}

static mpfr_t r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22979);
        mpfr_init_set_str(r22980, "0.8385424682349487", 10, MPFR_RNDN);
        mpfr_init(r22981);
        mpfr_init_set_str(r22982, "1", 10, MPFR_RNDN);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init_set_str(r22989, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init_set_str(r22997, "5.984857460889397e+68", 10, MPFR_RNDN);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init_set_str(r23008, "5.538161835309689e+77", 10, MPFR_RNDN);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init_set_str(r23028, "7.394087600696336e+134", 10, MPFR_RNDN);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22979, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22981, mpfr_cmp(r22979, r22980) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22983, r22982, r22979, MPFR_RNDN);
        mpfr_set_d(r22984, n, MPFR_RNDN);
        mpfr_div(r22985, r22982, r22984, MPFR_RNDN);
        mpfr_pow(r22986, r22983, r22985, MPFR_RNDN);
        mpfr_sub(r22987, r22986, r22982, MPFR_RNDN);
        mpfr_log(r22988, r22979, MPFR_RNDN);
        ;
        mpfr_div(r22990, r22989, r22984, MPFR_RNDN);
        mpfr_mul(r22991, r22988, r22990, MPFR_RNDN);
        mpfr_div(r22992, r22984, r22988, MPFR_RNDN);
        mpfr_div(r22993, r22991, r22992, MPFR_RNDN);
        mpfr_sub(r22994, r22987, r22993, MPFR_RNDN);
        mpfr_div(r22995, r22988, r22984, MPFR_RNDN);
        mpfr_sub(r22996, r22994, r22995, MPFR_RNDN);
        ;
        mpfr_set_si(r22998, mpfr_cmp(r22979, r22997) <= 0, MPFR_RNDN);
        mpfr_mul(r22999, r22979, r22984, MPFR_RNDN);
        mpfr_div(r23000, r22982, r22999, MPFR_RNDN);
        mpfr_div(r23001, r22989, r22979, MPFR_RNDN);
        mpfr_div(r23002, r23001, r22999, MPFR_RNDN);
        mpfr_sub(r23003, r23000, r23002, MPFR_RNDN);
        mpfr_mul(r23004, r22984, r22984, MPFR_RNDN);
        mpfr_mul(r23005, r23004, r22979, MPFR_RNDN);
        mpfr_div(r23006, r22988, r23005, MPFR_RNDN);
        mpfr_add(r23007, r23003, r23006, MPFR_RNDN);
        ;
        mpfr_set_si(r23009, mpfr_cmp(r22979, r23008) <= 0, MPFR_RNDN);
        mpfr_add(r23010, r22979, r22982, MPFR_RNDN);
        mpfr_pow(r23011, r23010, r22985, MPFR_RNDN);
        mpfr_exp(r23012, r22995, MPFR_RNDN);
        mpfr_sub(r23013, r23011, r23012, MPFR_RNDN);
        mpfr_cbrt(r23014, r23013, MPFR_RNDN);
        mpfr_mul(r23015, r23014, r23014, MPFR_RNDN);
        mpfr_sqrt(r23016, r23010, MPFR_RNDN);
        mpfr_pow(r23017, r23016, r22985, MPFR_RNDN);
        mpfr_sqrt(r23018, r23012, MPFR_RNDN);
        mpfr_add(r23019, r23017, r23018, MPFR_RNDN);
        mpfr_sqrt(r23020, r22983, MPFR_RNDN);
        mpfr_pow(r23021, r23020, r22985, MPFR_RNDN);
        mpfr_sub(r23022, r23021, r23018, MPFR_RNDN);
        mpfr_exp(r23023, r23022, MPFR_RNDN);
        mpfr_log(r23024, r23023, MPFR_RNDN);
        mpfr_mul(r23025, r23019, r23024, MPFR_RNDN);
        mpfr_cbrt(r23026, r23025, MPFR_RNDN);
        mpfr_mul(r23027, r23015, r23026, MPFR_RNDN);
        ;
        mpfr_set_si(r23029, mpfr_cmp(r22979, r23028) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r23029, MPFR_RNDN)) { mpfr_set(r23030, r23007, MPFR_RNDN); } else { mpfr_set(r23030, r23027, MPFR_RNDN); };
        if (mpfr_get_si(r23009, MPFR_RNDN)) { mpfr_set(r23031, r23027, MPFR_RNDN); } else { mpfr_set(r23031, r23030, MPFR_RNDN); };
        if (mpfr_get_si(r22998, MPFR_RNDN)) { mpfr_set(r23032, r23007, MPFR_RNDN); } else { mpfr_set(r23032, r23031, MPFR_RNDN); };
        if (mpfr_get_si(r22981, MPFR_RNDN)) { mpfr_set(r23033, r22996, MPFR_RNDN); } else { mpfr_set(r23033, r23032, MPFR_RNDN); };
        return mpfr_get_d(r23033, MPFR_RNDN);
}