// http://www.infoarena.ro/problema/euclid3
#include <stdio.h>
void euclid3(int a, int b, int *d, int *x, int *y) {
if (b == 0) {
*d = a;
*x = 1;
*y = 0;
} else {
int x0, y0;
euclid3(b, a % b, d, &x0, &y0);
*x = y0;
*y = x0 - (a / b) * y0;
}
}
int main() {
FILE *in = fopen("euclid3.in", "r"),
*out = fopen("euclid3.out", "w");
int n, a, b, c, d, i;
int x, y;
fscanf(in, "%d\n", &n);
for (i = 0; i < n; ++i) {
fscanf(in, "%d %d %d\n", &a, &b, &c);
euclid3(a, b, &d, &x, &y);
printf("%d %d %d\n", d, x, y);
int multiply;
if (c % d == 0)
multiply = c / d;
else
multiply = 0;
fprintf(out, "%d %d\n", x * multiply, y * multiply);
}
return 0;
}