Submission #648373

# Submission time Handle Problem Language Result Execution time Memory
648373 2022-10-06T09:12:46 Z inksamurai timeismoney (balkan11_timeismoney) C++17
100 / 100
1435 ms 600 KB
#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3Rz7lEu ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
// e

struct dsu{
	int _n;
	vi si,par,leb;
	dsu(int n=0){
		init(n);
	}
	void init(int n=0){
		_n=n;
		par=vi(_n,0);
		si=vi(_n,0);
		leb=vi(_n,-1);
		rep(i,n){
			si[i]=1;
			par[i]=i;
		}	
	}
	int parent(int u){return par[u]=(par[u]==u?u:parent(par[u]));}
	bool same(int u,int v){return parent(u)==parent(v);}
	void merge(int u,int v){
		u=parent(u),v=parent(v);
		if(!same(u,v)){
			if(si[u]<si[v]) swap(u,v);
			leb[u]=max(leb[u],leb[v]);
			_n-=1;
			si[u]+=si[v];
			par[v]=u;
		}
	}
	int size(int v=-1){return v==-1?_n:si[parent(v)];}
};

ll ccw(pii a,pii b,pii c){
	return a.fi*(b.se-c.se)+b.fi*(c.se-a.se)+c.fi*(a.se-b.se);
}

int cofx,cofy;

struct E{
	int u,v,w,z;
	E(int _u=0,int _v=0,int _w=0,int _z=0):u(_u),v(_v),w(_w),z(_z){}
	bool operator<(const E&a)const{
		return z*cofx-w*cofy<a.z*cofx-a.w*cofy;
	}
};

signed main(){
_3Rz7lEu;
	int n,m;
	cin>>n>>m;
	vec(E) es;
	rep(i,m){
		int u,v,w,z;
		cin>>u>>v>>w>>z;
		es.pb(E(u,v,w,z));
	}
	dsu uf(n);
	vec(pii) pns;
	auto mst=[&](int x,int y,int t=0)->pii{
		rep(i,n){
			uf.par[i]=i;
			uf.si[i]=1;
		}
		cofx=x,cofy=y;
		sort(es.begin(),es.end());
		pii p={0,0};
		for(auto e:es){
			int u=e.u,v=e.v,w=e.w,z=e.z;
			if(uf.same(u,v)) continue;
			uf.merge(u,v);
			p.fi+=w;
			p.se+=z;
			if(t){
				pns.pb({u,v});
			}
		}
		return p;
	};
	ll mi=1e18;
	int dx=-1,dy=-1;
	auto add=[&](int x,int y,ll val)->void{
		if(val<mi){
			mi=val;
			dx=x,dy=y;
		}
	};
	auto dnc=[&](auto self,pii l,pii r)->void{
		int x=r.fi-l.fi,y=r.se-l.se;
		pii p=mst(x,y);
		if(ccw(l,p,r)<=0) return;
		add(x,y,1ll*p.fi*p.se);
		self(self,l,p);
		self(self,p,r);
	};
	pii l=mst(-1,0);
	add(1,0,l.fi*l.se);
	pii r=mst(0,1);
	add(0,1,r.fi*r.se);
	dnc(dnc,l,r);
	pii p=mst(dx,dy,1);
	cout<<p.fi<<" "<<p.se<<"\n";
	for(auto p:pns){
		cout<<p.fi<<" "<<p.se<<"\n";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 5 ms 600 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 11 ms 332 KB Output is correct
15 Correct 8 ms 340 KB Output is correct
16 Correct 168 ms 364 KB Output is correct
17 Correct 170 ms 376 KB Output is correct
18 Correct 175 ms 384 KB Output is correct
19 Correct 1435 ms 600 KB Output is correct
20 Correct 1414 ms 600 KB Output is correct