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Cod sursa(job #344002)
#include <stdio.h>
#define INPUT "inversmodular.in"
#define OUTPUT "inversmodular.out"
void euclid_extins(int a, int n, int &x, int &y)
{
if(n == 0)
{
x = 1, y = 0;
return;
}
int x0, y0;
euclid_extins(n, a%n, x0, y0);
x = y0;
y = x0 - (long long)a/n*y0;
}
int main()
{
freopen(INPUT, "r", stdin);
freopen(OUTPUT, "w", stdout);
int a, n;
scanf("%d %d", &a, &n);
int x, y;
euclid_extins(a, n, x, y);
if(x < 0) x = x%n + n;
printf("%d\n", x);
return 0;
}