oj.uz

Submission #623061

# Submission time Handle Problem Language Result Execution time Memory
623061 2022-08-05T06:49:08 Z inksamurai Mag (COCI16_mag) C++17
84 / 120
 961 ms 148720 KB 
#include <bits/stdc++.h>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;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 _3SgiE60 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

const int inf=1e12;

pii compare(const pii&l,const pii&r){
	return l.fi*r.se<r.fi*l.se?l:r;
}

signed main(){
_3SgiE60;
	int n;
	cin>>n;
	vec(vi) adj(n);
	rep(i,n-1){
		int u,v;
		cin>>u>>v;
		u-=1,v-=1;
		adj[u].pb(v);
		adj[v].pb(u);	
	}
	vi a(n);
	rep(i,n){
		cin>>a[i];
	}
	pii pns{inf,1};
	vi ct_par(n,-1);
	{
		int num=0;
		vi usd(n,0),chs(n,0);
		auto refill=[&](auto self,int v,int par)->void{
			num+=1;
			chs[v]=1;
			for(auto u:adj[v]){
				if(u==par or usd[u]) continue;
				self(self,u,v);
				chs[v]+=chs[u];
			}
		};
		auto find_centroid=[&](auto self,int v,int par)->int{
			for(auto &u:adj[v]){
				if(u==par or usd[u]) continue;
				if(chs[u]*2>num){
					return self(self,u,v);
				}
			}
			return v;
		};
		auto rfs=[&](auto self,int v,int par,int num,int len)->pii{
			num*=a[v];
			len+=1;
			// if(v==7 and par==6) print("go",num,len);
			pii p={num,len};
			if(num>=inf) return p;
			for(auto u:adj[v]){
				if(u==par or usd[u]) continue;
				p=compare(p,self(self,u,v,num,len));
			}
			return p;
		};
		auto dfs=[&](auto self,int v,int par)->int{
			num=0;
			refill(refill,v,par);
			int rt=find_centroid(find_centroid,v,par);
			usd[rt]=1;
			pii q={inf,1};
			for(auto &u:adj[rt]){
				if(u==par or usd[u]) continue;
				pii p=rfs(rfs,u,rt,1,0);
				// if(rt==1) print(u,p.fi,p.se);
				if(q.fi<=inf and q.fi<=inf/p.fi/a[rt]+1){
					pii now={p.fi*q.fi*a[rt],p.se+q.se+1};
					pns=compare(pns,now);
				}
				// if(rt==6) print(p.fi,p.se,u);
				q=compare(q,p);
			}
			// print(rt);
			// if(rt==6) print(q.fi,q.se);
			// print(rt,q.fi,q.se);
			pns=compare(pns,pii(a[rt],1));
			pns=compare(pns,pii(q.fi*a[rt],q.se+1));
			for(auto u:adj[rt]){
				if(u==par or usd[u]) continue;
				self(self,u,rt);
			}
			return rt;
		};
		int rt=dfs(dfs,0,-1);
	}

	// vec(vec(pii)) rbts(n);
	// vi ctr(n);
	// // center of rabbits
	// rep(v,n){
	// 	ctr[v]=v;
	// }
	// vi dist(n);
	// vec(pii) fdp(n);
	// auto pre_dfs=[&](auto self,int v,int par)->void{
	// 	int now_ctr=v;
	// 	// print(v,dist[v]);
	// 	for(auto &u:adj[v]){
	// 		if(u==par) continue;
	// 		dist[u]=dist[v]+1;
	// 		self(self,u,v);
	// 		if(sz(rbts[ctr[u]])>sz(rbts[now_ctr])){
	// 			now_ctr=ctr[u];
	// 		}
	// 	}
	// 	for(auto &u:adj[v]){
	// 		if(u==par or ctr[u]==now_ctr) continue;
	// 		for(auto &p:rbts[ctr[u]]){
	// 			rbts[now_ctr].pb(p);
	// 		}
	// 	}
	// 	ctr[v]=now_ctr;
	// 	if(a[v]>1){
	// 		sort(rbts[now_ctr].begin(), rbts[now_ctr].end());
	// 		while(sz(rbts[now_ctr]) and rbts[now_ctr].back().fi>inf/a[v]){
	// 			rbts[now_ctr].pop_back();
	// 		}
	// 		fdp[v]=pii(a[v],1);
	// 		for(auto &p:rbts[now_ctr]){
	// 			p.fi*=a[v];
	// 			fdp[v]=compare(fdp[v],pii(p.fi,dist[p.se]-dist[v]+1));
	// 		}
	// 	}
	// 	else{
	// 		fdp[v]=pii(1,1);
	// 		for(auto &u:adj[v]){
	// 			if(u==par) continue;
	// 			fdp[v]=compare(fdp[v],pii(fdp[u].fi,fdp[u].se+1));
	// 		}
	// 	}
	// 	rbts[now_ctr].pb(pii(a[v],v));
	// };
	// pre_dfs(pre_dfs,0,-1);
	// pii pns={inf,1};
	// auto dfs=[&](auto self,int v,int par)->void{
	// 	pii q={inf,1};
	// 	// print(v);
	// 	for(auto &u:adj[v]){
	// 		if(u==par) continue;
	// 		self(self,u,v);
	// 		pii p=fdp[u];
	// 		if(q.fi<=inf and q.fi<=inf/a[v]/p.fi+1){
	// 			pii now={q.fi*p.fi*a[v],q.se+p.se+1};
	// 			pns=compare(pns,now);
	// 		}
	// 		{
	// 			pii now={p.fi*a[v],p.se+1};
	// 			pns=compare(pns,now);
	// 		}
	// 		q=compare(q,p);
	// 	}
	// 	pns=compare(pns,fdp[v]);
	// };
	// dfs(dfs,0,-1);
	// print(pns.fi,pns.se);
	int g=gcd(pns.fi,pns.se);
	pns.fi/=g;
	pns.se/=g;
	cout<<pns.fi<<"/"<<pns.se<<"\n";
}

Compilation message

mag.cpp: In function 'int main()':
mag.cpp:105:7: warning: unused variable 'rt' [-Wunused-variable]
  105 |   int rt=dfs(dfs,0,-1);
      |       ^~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Incorrect 1 ms 340 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 780 ms 101024 KB Output is correct

Subtask #4
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Incorrect 961 ms 148720 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 579 ms 90792 KB Output is correct
2 Correct 527 ms 74444 KB Output is correct

Subtask #7
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 444 ms 105384 KB Output is correct
2 Correct 111 ms 11112 KB Output is correct
3 Correct 876 ms 146120 KB Output is correct

Subtask #8
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 120 ms 10912 KB Output is correct
2 Correct 666 ms 91224 KB Output is correct
3 Correct 646 ms 54048 KB Output is correct

Subtask #9
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 474 ms 84680 KB Output is correct
2 Correct 460 ms 101712 KB Output is correct

Subtask #10
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 777 ms 91740 KB Output is correct
2 Correct 665 ms 54024 KB Output is correct