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Submission #369602

# Submission time Handle Problem Language Result Execution time Memory
369602 2021-02-22T02:00:27 Z penguinhacker Euklid (COCI20_euklid) C++14
12 / 110
 1 ms 492 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

ll R(ll a, ll b) {
	if (a < b) swap(a, b);
	if (b == 1) return a;
	return R(b, a / b);
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	int t; cin >> t;
	while(t--) {
		ll a, b; cin >> a >> b;
		ll x = b, y = 1;
		int rep = 0;
		while(rep == 0 || (x * y + a - 1) / a * a >= (y + 1) * x) {
			y = (y + 1) * x - 1;
			swap(x, y);
			++rep;
		}
		//cerr << x << " " << y << "\n";
		y = (x * y + a - 1) / a * a;
		//cerr << x << " " << y << "\n";
		x = x * y + a;
		//cerr << x << " " << y << "\n";
		cout << x << " " << y << "\n";
		assert(__gcd(x, y) == a);
		assert(R(x, y) == b);
	}
	return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 364 KB Output is correct

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct

Subtask #4
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Runtime error 1 ms 492 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -

Subtask #5
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Runtime error 1 ms 492 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Runtime error 1 ms 492 KB Execution killed with signal 6
7 Halted 0 ms 0 KB -