Cod sursa(job #3299833)

Utilizator anamaria-carina.orszariAnamaria-Carina Orszari anamaria-carina.orszari Data 10 iunie 2025 19:32:25
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.85 kb
#include <stdio.h>
#include <assert.h>

inline int egcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }

    int x1, y1;
    int d = egcd(b, a % b, x1, y1);

    x = y1;
    y = x1 - (a / b) * y1;

    return d;
}

int main() {
    freopen("euclid3.in", "rt", stdin);
    freopen("euclid3.out", "wt", stdout);

    int t;
    scanf("%d", &t);
    assert(t <= 100);

    while (t--) {
        int a, b, c;
        scanf("%d %d %d", &a, &b, &c);

        assert(-1e9 <= a && a <= 1e9);
        assert(-1e9 <= b && b <= 1e9);
        assert(-2e9 <= c && c <= 2e9 && c != 0);

        int x, y, d;
        d = egcd(a, b, x, y);

        if (c % d != 0)
            printf("0 0\n");
        else
            printf("%d %d\n", x * (c / d), y * (c / d));
    }

    return 0;
}