10104 - Euclid Problem

/*
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|                                             |
|       © 10/08/2023 (00:58) MinaMagdy        |
|                                             |
+---------------------------------------------+
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
#define multi_ordered_set tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update>
#define endl "\n"
#define MOD 1000000007
#define INF 2000000000
#define all(s) s.begin(), s.end()
#define rall(s) s.rbegin(), s.rend()
#define sz(x) int(x.size())

typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;

int gcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1, y = 0;
        return a;
    }
    int x1, y1;
    int g = gcd(b, a % b, x1, y1);
    x = y1;
    y = x1 - a / b * y1;
    return g;
}

void solve() {
    int a, b;
    while (cin >> a >> b) {
        int x, y;
        int d = gcd(a, b, x, y);
        cout << x << " " << y << " " << d << endl;
    }
}

int main(void)
{
    ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL);
    int testcase = 1;
    // cin >> testcase;
    while (testcase--)
        solve();
    return 0;
}