#include <stdio.h>
#include <stdint.h>
#include <stdlib.h>
int64_t exeuclid(int64_t a, int64_t b, int64_t *x, int64_t *y) {
if (b == 0) {
*x = 1;
*y = 0;
return a;
}
int64_t x1, y1;
int64_t g = exeuclid(b, a % b, &x1, &y1);
*x = y1;
*y = x1 - (a / b) * y1;
return g;
}
int64_t modinv(int64_t a, int64_t n) {
int64_t x, y;
int64_t g = exeuclid(a, n, &x, &y);
if (g != 1) return -1;
int64_t inv = x % n;
if (inv < 0) inv += n;
return inv;
}
int main() {
int64_t a, n;
FILE *input = fopen("inversmodular.in", "r");
FILE *output = fopen("inversmodular.out", "w");
if (!input || !output) {
fprintf(stderr, "Eroare deschidere fisiere!");
exit(-1);
}
if (fscanf(input, "%lld %lld", &a, &n) != 2) {
fprintf(stderr, "Eroare la citire a si n!\n");
exit(-1);
}
int64_t inv = modinv(a, n);
fprintf(output, "%lld", inv);
fclose(input);
fclose(output);
return 0;
}