Submission #889489

# Submission time Handle Problem Language Result Execution time Memory
889489 2023-12-19T20:04:50 Z WonderfulWhale timeismoney (balkan11_timeismoney) C++17
100 / 100
994 ms 2188 KB
#include<bits/stdc++.h>
using namespace std;

#define int int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

ostream& operator<<(ostream& os, pii x) {
	os << "{" << x.st << ", " << x.nd << "}";
	return os;
}

int n, m;
vector<pair<pii, pii>> edges;

int p[209];
int Find(int x) {
	return x==p[x]?x:p[x]=Find(p[x]);
}
void Union(int a, int b) {
	p[Find(a)] = Find(b);
}
pii ans;
vector<pii> res;
void mst(int a, int b) {
	iota(p, p+n, 0);
	res.clear();
	ans = {0, 0};
	vector<pair<int, pair<pii, pii>>> v;
	for(auto [x, y]:edges) {
		v.pb({a*y.st+b*y.nd, {x, y}});
	}
	sort(all(v));
	for(auto [x, y]:v) {
		if(Find(y.st.st)!=Find(y.st.nd)) {
			res.pb(y.st);
			ans.st+=y.nd.st;
			ans.nd+=y.nd.nd;
			Union(y.st.st, y.st.nd);
		}
	}
}

pii f(pii a, pii b) {
	int x = b.st-a.st;
	int y = b.nd-a.nd;
	mst(-y, x);
	int x1 = ans.st-a.st;
	int y1 = ans.nd-a.nd;
	pii ret;
	if(a.st*a.nd<b.st*b.nd) {
		ret = a;
	} else {
		ret = b;
	}
	pii mid = ans;
	if(x*y1-x1*y<0) {
		pii r1 = f(a, mid);
		pii r2 = f(mid, b);
		if(r1.st*r1.nd<ret.st*ret.nd) ret = r1;
		if(r2.st*r2.nd<ret.st*ret.nd) ret = r2;
	}
	return ret;
}

int32_t main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	cin >> n >> m;
	for(int i=0;i<m;i++) {
		int a, b, c, d;
		cin >> a >> b >> c >> d;
		edges.pb({{a, b}, {c, d}});
	}
	int CNST = 1000000;
	mst(CNST, 1);
	pii p1 = ans;
	mst(1, CNST);
	pii p2 = ans;
	pii ret = f(p1, p2);
	mst(ret.nd, ret.st);
	cout << ans.st << " " << ans.nd << "\n";
	for(pii x:res) cout << x.st << " " << x.nd << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 428 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 8 ms 1808 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 6 ms 344 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 86 ms 692 KB Output is correct
17 Correct 97 ms 604 KB Output is correct
18 Correct 86 ms 600 KB Output is correct
19 Correct 985 ms 2188 KB Output is correct
20 Correct 994 ms 2172 KB Output is correct