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Cod sursa(job #865126)
#include <stdio.h>
#include <assert.h>
inline int gcd(int a, int b, int *x, int *y)
{
if( b == 0)
{
*x = 1;
*y = 0;
return a;
}
int x0, y0, d;
d = gcd(b, a % b, &x0, &y0);
*x = y0;
*y = x0 - (a / b) * y0;
return d;
}
int main()
{
freopen("euclid.in", "rt", stdin);
freopen("euclid.out", "wt", stdout);
int t;
for(scanf("%d", &t), assert( t <= 100 ); 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;
}