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Cod sursa(job #516617)
#include <stdio.h>
#include <assert.h>
int euclid(int a, int b, int *x, int *y)
{
if (b == 0) {
*x = 1;
*y = 0;
return a;
} else {
int x0, y0, d;
d = euclid(b, a % b, &x0, &y0);
*x = y0;
*y = x0 - (a / b) * y0;
return d;
}
}
int main()
{
freopen("euclid3.in", "rt", stdin);
freopen("euclid3.out", "wt", stdout);
int T;
scanf("%d", &T);
assert( 1<=T && T <= 100 );
for (; T; T--)
{
int A, B, C;
scanf("%d %d %d", &A, &B, &C);
assert( -1000000000 <= A && A <= 1000000000 );
assert( -1000000000 <= B && B <= 1000000000 );
assert( -2000000000 <= C && C <= 2000000000 && C != 0 );
int D, X, Y;
D = gcd( A, B, X, Y );
if (C % D)
printf("0 0\n");
else
printf("%d %d\n", X * (C / D), Y * (C / D));
}
return 0;
}