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Submission #348707

# Submission time Handle Problem Language Result Execution time Memory
348707 2021-01-15T15:12:02 Z cheissmart timeismoney (balkan11_timeismoney) C++14
100 / 100
 1415 ms 1408 KB 
#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl

using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;

const int INF = 1e9 + 7;

struct Point {
	int T, C;
	bool operator == (const Point t) {
		return T == t.T && C == t.C;
	}
};

signed main()
{
	IO_OP;

	int n, m;
	cin >> n >> m;
	vi u(m), v(m), t(m), c(m), take(m);
	for(int i = 0; i < m; i++)
		cin >> u[i] >> v[i] >> t[i] >> c[i];
	Point best = {INF, INF};
	auto mst = [&] (int a, int b) -> Point{
		vi take_tmp(m);
		V<array<ll, 2>> edges;
		for(int i = 0; i < m; i++)
			edges.PB({(ll) a * t[i] + (ll) b * c[i], i});
		sort(ALL(edges));
		vi p(n);
		iota(ALL(p), 0);
		function<int(int)> find = [&](int u) {
			return u == p[u] ? u : p[u] = find(p[u]);
		};
		Point res = {0, 0};
		for(auto edge:edges) {
			int x = find(u[edge[1]]), y = find(v[edge[1]]);
			if(x != y) {
				p[x] = y;
				res.T += t[edge[1]], res.C += c[edge[1]];
				take_tmp[edge[1]] = 1;
			}
		}
		if((ll) res.T * res.C < (ll) best.T * best.C) {
			take = take_tmp;
			best = res;
		}
		return res;
	};

	function<void(Point, Point)> recurse = [&] (Point A, Point B) {
		Point C = mst(A.C - B.C, B.T - A.T);
		if((ll) (A.T - C.T) * (A.C - B.C) == (ll) (A.C - C.C) * (A.T - B.T)) // ABC are colinear
			return;
		recurse(A, C);
		recurse(C, B);
	};

	Point A = mst(1, 0), B = mst(0, 1);
	recurse(A, B);

	cout << best.T << " " << best.C << '\n';
	for(int i = 0; i < m; i++) if(take[i])
		cout << u[i] << " " << v[i] << '\n';
}

Subtask #1
100.0 / 100.0

# 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 3 ms 512 KB Output is correct
8 Correct 8 ms 1132 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 10 ms 364 KB Output is correct
15 Correct 7 ms 364 KB Output is correct
16 Correct 156 ms 620 KB Output is correct
17 Correct 167 ms 492 KB Output is correct
18 Correct 150 ms 492 KB Output is correct
19 Correct 1379 ms 1392 KB Output is correct
20 Correct 1415 ms 1408 KB Output is correct