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#include <stdio.h>
#include <stdarg.h>
#include <sys/time.h>
/* Input functions */
int getint() { int t; scanf("%d", &t); return t; }
int getch() { char t; scanf("%c", &t); return (int)t; }
float getfloat() { float t; scanf("%f", &t); return t; }
int getarray(int a[]) {
int n;
scanf("%d", &n);
for (int i = 0; i < n; i++) scanf("%d", &a[i]);
return n;
}
int getfarray(float a[]) {
int n;
scanf("%d", &n);
for (int i = 0; i < n; i++) scanf("%f", &a[i]);
return n;
}
/* Output functions */
void putint(int a) { printf("%d", a); }
void putch(int a) { printf("%c", (char)a); }
void putfloat(float a) { printf("%a", a); }
void putarray(int n, int a[]) {
printf("%d:", n);
for (int i = 0; i < n; i++) printf(" %d", a[i]);
printf("\n");
}
void putfarray(int n, float a[]) {
printf("%d:", n);
for (int i = 0; i < n; i++) printf(" %a", a[i]);
printf("\n");
}
/* Timing functions */
struct timeval _sysy_start, _sysy_end;
void starttime() { gettimeofday(&_sysy_start, NULL); }
void stoptime() {
gettimeofday(&_sysy_end, NULL);
int millis = (_sysy_end.tv_sec - _sysy_start.tv_sec) * 1000 +
(_sysy_end.tv_usec - _sysy_start.tv_usec) / 1000;
fprintf(stderr, "Timer: %d ms\n", millis);
}