Submission #1165727

#TimeUsernameProblemLanguageResultExecution timeMemory
1165727tamyteCutting a rectangle (LMIO18_staciakampis)C++20
0 / 100
0 ms356 KiB
#include <bits/stdc++.h>



using namespace std;
using ll = long long;
set<pair<int, int>> A, B;

bool check(ll x, ll y) {
	// cout << x << " " << y << endl;
	if (x > y) swap(x, y);
	if (x == 0) return true;
	auto p = *prev(A.end());
	auto q = *prev(B.end());
	// cout << "P: " << p.first << " " << p.second << " ? " << x << endl;
	// cout << "Q: " << q.first << " " << q.second << " ? " << y << endl;
	if (p.first > x && q.first > y) return false;
	bool res = false;
	if (p.first == x) {
		A.erase(A.find(p));
		B.erase(B.find({p.second, p.first}));
		// cout << "in\n";
		res = max(res, check(x, y - p.second));
		// cout << "out\n";
		A.insert(p);
		B.insert({p.second, p.first});
	}
	if (q.first == y) {
		B.erase(B.find(q));
		A.erase(A.find({q.second, q.first}));
		res = max(res, check(x - q.second, y));
		B.insert(q);
		A.insert({q.second, q.first});
	}
	if (p.second == x) {
		A.erase(A.find(p));
		B.erase(B.find({p.second, p.first}));
		// cout << "in\n";
		res = max(res, check(x, y - p.first));
		// cout << "out\n";
		A.insert(p);
		B.insert({p.second, p.first});
	}
	if (q.second == y) {
		B.erase(B.find(q));
		A.erase(A.find({q.second, q.first}));
		res = max(res, check(x - q.first, y));
		B.insert(q);
		A.insert({q.second, q.first});
	}
	return res;
}

int main() {
	int n;
	cin >> n;
	ll tot = 0;
	vector<int> a(n), b(n);
	for (int i = 0; i < n; ++i) {
		cin >> a[i] >> b[i];
		tot += 1LL * a[i] * b[i];
		A.insert({a[i], b[i]});
		B.insert({b[i], a[i]});
	}
	set<ll> p;
	for (int i = 0; i < n; ++i) {
		if (tot % a[i] != 0) continue;
		ll o = tot / a[i];
		if (p.count(min((ll)a[i], o))) continue;
		// cout << a[i] << " " << o << endl << endl;
		if (check(a[i], o)) {
			p.insert(min((ll)a[i], o));
		} 
		if (check(o, a[i])) {
			p.insert(min((ll)a[i], o));
		}
		// cout << endl << endl;
	}
	cout << p.size() << endl;
	for (auto& u : p) {
		cout << u << "\n";
	}
}
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