mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-12-12 01:46:28 +00:00
68 lines
1.4 KiB
C++
68 lines
1.4 KiB
C++
#include <iostream>
|
|
#include <cmath>
|
|
|
|
using std::cin;
|
|
using std::cout;
|
|
const char endl = '\n';
|
|
|
|
long long exgcd(long long a, long long b, long long& x, long long& y) {
|
|
if (!b) {
|
|
x = 1, y = 0;
|
|
return a;
|
|
}
|
|
|
|
long long g = exgcd(b, a % b, y, x);
|
|
y -= a / b * x;
|
|
return g;
|
|
}
|
|
|
|
int main() {
|
|
std::ios::sync_with_stdio(false);
|
|
cin.tie(nullptr);
|
|
|
|
int t;
|
|
|
|
cin >> t;
|
|
|
|
while (t--) {
|
|
long long a, b, c, x, y;
|
|
|
|
cin >> a >> b >> c;
|
|
|
|
long long g = exgcd(a, b, x, y);
|
|
|
|
if (c % g) {
|
|
cout << -1 << endl;
|
|
} else { // c % g == 0
|
|
x *= c / g;
|
|
y *= c / g;
|
|
|
|
long long p = b / g,
|
|
q = a / g;
|
|
|
|
if (x < 0) {
|
|
long long k = std::ceil((1.0 - x) / p);
|
|
x += p * k;
|
|
y -= q * k;
|
|
} else { // x >= 0
|
|
long long k = (x - 1) / p;
|
|
x -= p * k;
|
|
y += q * k;
|
|
}
|
|
|
|
if (y > 0) {
|
|
cout << (y - 1) / q + 1 << ' '
|
|
<< x << ' '
|
|
<< (y - 1) % q + 1 << ' '
|
|
<< x + (y - 1) / q * p << ' '
|
|
<< y << endl;
|
|
} else { // y <= 0
|
|
cout << x << ' '
|
|
<< y + q * static_cast<long long>(std::ceil((1.0 - y) / q)) << endl;
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
}
|