Submission #106850

# Submission time Handle Problem Language Result Execution time Memory
106850 2019-04-20T18:05:52 Z ami timeismoney (balkan11_timeismoney) C++17
100 / 100
358 ms 1088 KB
#include <bits/stdc++.h>
#define sz(c)      int(c.size())
#define rep(i,a,b) for (int i=a; i<(b); ++i)
#define per(i,a,b) for (int i=(b)-1; i>=(a); --i)
using namespace std;
using ll = long long;

template<int N>
struct disjoint_sets {
	int r[N];
	disjoint_sets() {
		memset(r,~0,sizeof(r));
	}
	void reset(int n) {
		rep(i,0,n) r[i]=-1;
	}
	int get(int x) {
		return r[x]<0 ? x : r[x]=get(r[x]);
	}
	int size(int x) {
		return -r[get(x)];
	}
	bool join(int x,int y) {
		x=get(x);
		y=get(y);
		if (x==y) return false;
		if (r[x]>r[y]) swap(x,y);
		r[x]+=r[y];
		r[y]=x;
		return true;
	}
};

struct edge_t {
	int x,y,t,c;
	ll w;
};

ll const INF=ll(1e18);
int const MAXN=220;
int const MAXM=11000;
int N,M;
vector<edge_t> E;
disjoint_sets<MAXN> DS;
vector<pair<int,int>> res;

pair<ll,ll> test(ll x,ll y,bool out=false) {
	for (auto &e:E) {
		e.w=e.t*x + e.c*y;
	}
	
	sort(E.begin(),E.end(),[](const edge_t &a, const edge_t &b) {
		return a.w < b.w;
	});
	
	DS.reset(N);
	
	int cc=N;
	ll st=0,sc=0;
	for (auto e:E) if (DS.join(e.x,e.y)) {
		st+=e.t;
		sc+=e.c;
		if (out) res.emplace_back(e.x,e.y);
		cc--;
		if (cc==1) break;
	}
	
	return {st,sc};
}

int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(0);
	cout<<fixed<<setprecision(10);

	cin>>N>>M;
	rep(i,0,M) {
		int x,y,t,c;
		cin>>x>>y>>t>>c;
		E.push_back({x,y,t,c,0});
	}
	
	int const MAXX=1000;
	ll best=INF;
	int bestx=-1;
	rep(x,0,MAXX+1) {
		ll st,sc;
		tie(st,sc)=test(x,MAXX-x);
		if (best>st*sc) {
			best=st*sc;
			bestx=x;
		}
	}
	
	ll st,sc;
	tie(st,sc)=test(bestx,MAXX-bestx,true);
	
	cout<<st<<" "<<sc<<"\n";
	for (auto p:res) cout<<p.first<<" "<<p.second<<"\n";
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 388 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 14 ms 384 KB Output is correct
6 Correct 8 ms 384 KB Output is correct
7 Correct 43 ms 512 KB Output is correct
8 Correct 205 ms 960 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 388 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 6 ms 384 KB Output is correct
14 Correct 11 ms 384 KB Output is correct
15 Correct 10 ms 384 KB Output is correct
16 Correct 54 ms 504 KB Output is correct
17 Correct 62 ms 632 KB Output is correct
18 Correct 50 ms 512 KB Output is correct
19 Correct 301 ms 1088 KB Output is correct
20 Correct 358 ms 960 KB Output is correct