Submission #648372

# Submission time Handle Problem Language Result Execution time Memory
648372 2022-10-06T09:12:11 Z inksamurai timeismoney (balkan11_timeismoney) C++17
100 / 100
1394 ms 724 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 6 ms 676 KB Output is correct
9 Correct 1 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 212 KB Output is correct
14 Correct 12 ms 332 KB Output is correct
15 Correct 7 ms 340 KB Output is correct
16 Correct 166 ms 360 KB Output is correct
17 Correct 159 ms 364 KB Output is correct
18 Correct 169 ms 360 KB Output is correct
19 Correct 1394 ms 600 KB Output is correct
20 Correct 1388 ms 724 KB Output is correct