#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <stdarg.h>
#include <sys/time.h>

// Varargs function definitions
int ioctl(int d, int request) {return 0; }
int printf(const char *X) {return 0; }


int gettimeofday(struct timeval *tv, void *tz) { return 0; }
void *xmalloc(size_t X) { return malloc(X); }
  
void srand(unsigned x) {}
double exp(double x) { return 0; }
double log(double x) { return 0; }
double sqrt(double x) { return 0; }
void exit(int x) {}
int puts(const char *x) { return 0; }
void __main() {}
int atoi(const char*x) { return 1; }
char *fgets(char*Ptr, int x, FILE*F) { return Ptr; }
int fclose(FILE*F) { return 0; }
FILE *fopen(const char *n, const char*x) { return malloc(sizeof(FILE)); }
FILE *freopen(const char *path, const char *mode, FILE *stream) { return 0; }
int fflush(FILE *F) { return 0; }
size_t fwrite(const void* str, size_t N, size_t n, FILE *F) { return N; }
void *memset(void *P, int X, size_t N) { return P; }
void *memcpy(void *P, void *S, size_t N) { return P; }
void *memmove(void *P, void *S, size_t N) { return P; }
char *strcpy(char*Str1, const char *Str) { return Str1; }
char *strcat(char*Str1, const char *Str) { return Str1; }
size_t strlen(char *X) { return 0; }
#undef putchar
int putchar(int N) { return N; }
int putc(int c, FILE *stream) { return c; }
int fputc(int c, FILE *stream) { return c; }
int fgetc(FILE *S) { return 0; }
long ftell(FILE *F) { return 0; }
int getc(FILE *S) { return 0; }
size_t fread(void *ptr, size_t size, size_t nmemb, FILE *stream) { return 0; }
int fseek(FILE *stream, long offset, int whence) { return 0; }
int feof(FILE *stream) { return 0; }
int fputs(const char *s, char *stream) { return 0; }
int ferror(FILE *F) { return 0; }
FILE *fdopen(int fildes, const char *mode) { return 0;}
int ungetc(int c, FILE *stream) { return 0; }
int setvbuf(FILE *stream, char *buf, int mode , size_t size) { return 0; }
void rewind(FILE*F) { }
int fileno(FILE *stream) { return 1; }
char *ttyname(int desc) { return 0; }
long sysconf(int name) { return 0; }
char *tmpnam(char *s) { return s; }

void *calloc(size_t A, size_t B) { return malloc(A*B); }
void *realloc(void *ptr, size_t N) { return ptr; } 
const char *strerror(int N) { return 0; }
int unlink(const char *path) { return 0; }
void perror(const char *err) {}
char *strrchr(const char *S, int C) { return (char*)S; }
int memcmp(const char *A, const char *B, size_t N) { return 0; }
ssize_t read(int fildes, void *buf, size_t nbyte) { return nbyte; }
int close(int FD) { return 0; }
int rename(const char *oldpath, const char *newpath) { return 0; }
ssize_t write(int fd, const void *buf, size_t count) { return 0; }
pid_t getpid(void) { return 0; }
pid_t getppid(void) { return 0; }
void setbuf(FILE *stream, char *buf) {}
int isatty(int desc) { return 0; }
int vsprintf(char *str, const char *format, va_list ap) { return 0; }
char *getcwd(char *buf, size_t size) { return buf; }

void qsort(void *base, size_t nmemb, size_t size,
           int(*compar)(const void *, const void *)) {
  compar(base, base);
}



#include <sys/times.h>
clock_t times(struct tms *buf) { return 0; }


#include <setjmp.h>
int setjmp(jmp_buf env) { return 0; }
void longjmp(jmp_buf env, int val) {}
int kill(pid_t pid, int sig) { return 0; }
int system(const char *string) { return 0; }
char *getenv(const char *name) { return 0; }
typedef void (*sighandler_t)(int);

sighandler_t signal(int signum, sighandler_t handler) { return handler; }




char *strchr(const char *s, int c) { return (char*)s; }
int strcmp(const char *s1, const char *s2) { return 0; }
int strncmp(const char *s1, const char *s2, size_t n) { return 0; }
char *strncpy(char *s1, const char *s2, size_t n) { return s1; }
char *strpbrk(const char *s, const char *accept) { return (char*)s; }
char *strncat(char *dest, const char *src, size_t n) { return dest; }

double atof(const char *C) { return 0; }


long clock() { return 0; }
char *ctime(const time_t *timep) { return 0; }
time_t time(time_t *t) { return *t = 0; }

double sin(double x) { return x; }
double cos(double x) { return x; }
double tan(double x) { return x; }
double asin(double x) { return x; }
double acos(double x) { return x; }
double atan(double x) { return x; }
double cosh(double x) { return x; }
double sinh(double x) { return x; }
double ceil(double x) { return x; }
double floor(double x) { return x; }

double atan2(double x, double y) { return x; }
double fmod(double x, double y) { return x; }
double pow(double x, double y) { return x; }

int tolower(int x) { return x; }
int toupper(int x) { return x; }