Submission #1222449

#	Time	Username	Problem	Language	Result	Execution time	Memory
1222449		thelegendary08	Beech Tree (IOI23_beechtree)	C++17	8 / 100	87 ms	52040 KiB

beechtree

#include "beechtree.h"
#include<bits/stdc++.h>
#define int long long
#define f0r(i,n) for(int i = 0; i<n; i++)
#define pb push_back
#define mp make_pair
#define vi vector<int>
#define mii map<int,int>
#define pii pair<int,int>
#define vpii vector<pii>
#define FOR(i, k, n) for(int i = k; i<n; i++)
#define vb vector<bool>
#define vout(v) for(auto u : v)cout<<u<<' '; cout<<endl;
using namespace std;
vector<vi>adj, colset, su, cha;
vi dep, sts, die, diesum, tp;
vector<signed>ans; int M;
int dfs(int node){
	int cur = 1;
	for(auto u : adj[node]){
		dep[u] = dep[node] + 1;
		cur += dfs(u);
	}
	sts[node] = cur;
	return cur;
}
int d2(int node){
	int cur = die[node];
	for(auto u : adj[node]){
		cur += d2(u);
	}
	diesum[node] = cur;
	return cur;
}
void d3(int node){
	if(sts[node] == 1){
		su[node][tp[node]]++; return;
	}
	for(auto u : adj[node]){
		d3(u);
		f0r(j, 4){
			su[node][j] += su[u][j];
		}
	}
	su[node][tp[node]]++;
}
void d4(int node){
	if(sts[node] == 1){
		cha[node] = {0};
		return;
	}
	
	vector<pair<vi, int>>w;
	for(auto u : adj[node]){
		d4(u);
		w.pb(mp(cha[u], u));
	}
	
	sort(w.rbegin(), w.rend());
	adj[node].clear();
	for(auto u : w){
		adj[node].pb(u.second);
	}
	queue<int>q;
	vi seq;
	q.push(node); seq.pb(adj[node].size());
	while(!q.empty()){
		int node = q.front(); q.pop();
		for(auto u : adj[node]){
			q.push(u); seq.pb(adj[u].size());
		}
	}
	cha[node] = seq;
	
}
void solve(int node){
	if(sts[node] == 1){
		ans[node] = 1; return;
	}
	for(auto u : adj[node]){
		solve(u);
	}
	if(diesum[node] != 0){
		ans[node] = 0; return;
	}
	
	//test if including the next for loop preserves correct ans
	
	for(auto u : adj[node]){
		if(ans[u] == 0){
			ans[node] = 0; return;
		}
	}
	/*
	vi w = su[node];
	//vout(w);
	if(tp[node] == 1 && w[3] != 0){
		ans[node] = 0; return;
	}
	if(tp[node] == 2 && w[3] != 0){
		ans[node] = 0; return;
	}
	if(w[1] != 0 && w[2] != 0){
		ans[node] = 0; return;
	}
	ans[node] = 1; return;
	*/
	queue<int>q;
	vi seq;
	q.push(node); seq.pb(node);
	while(!q.empty()){
		int node = q.front(); q.pop();
		for(auto u : adj[node]){
			q.push(u); seq.pb(u);
		}
	}
	set<int>vis;
	f0r(i, M){
		vis.insert(i + 1);
	}
	bool ok = 1;
	f0r(i, seq.size()){
		set<int>ne;
		for(auto u : colset[seq[i]]){
			if(!vis.count(u))ok = 0;
			ne.insert(u);
		}
		if(node == 0){
			for(auto u : vis)cout<<u<<' ';
			cout<<'\n';
			for(auto u : ne)cout<<u<<' ';
			cout<<'\n';
			cout<<'\n';
		}
		
		
		if(!ok)break;
		vis = ne;
	}
	ans[node] = ok;
	
}
std::vector<signed> beechtree(signed N, signed M, std::vector<signed> P, std::vector<signed> C)
{
	::M = M;
	ans.resize(N);
	FOR(i, 1, N)ans[i] = 0;
	colset.clear(); colset.resize(N); adj.clear(); adj.resize(N); tp.clear(); tp.resize(N);
	dep.clear(); dep.resize(N); sts.clear(); sts.resize(N); die.clear(); die.resize(N); diesum.clear(); diesum.resize(N);
	cha.resize(N);
	FOR(i, 1, N){
		adj[P[i]].pb(i);
	}
	
	f0r(i, N){
		set<int>tmp;
		for(auto u : adj[i]){
			tmp.insert(C[u]); colset[i].pb(C[u]);
		}
		if(tmp.size() != colset[i].size()){
			die[i] = 1;
		}
		int sum = 0;
		for(auto u : tmp){
			sum += u;
		}
		tp[i] = sum;
	}
	dfs(0);
	d2(0);
	if(N <= 8){
		f0r(i, N){
			vi st;
			queue<int>q; q.push(i); st.pb(i);
			while(!q.empty()){
				int node = q.front(); q.pop();
				for(auto u : adj[node]){
					q.push(u); st.pb(u);
				}
			}
			
			bool okk = 0;
			do{
				vi f;
				f.pb(0);
				mii m;
				FOR(j, 1, st.size()){
					if(m.count(C[st[j]]))f.pb(m[C[st[j]]]);
					else f.pb(0);
					m[C[st[j]]]++;
				}
				bool ok = 1;
				if(st[0] != i)ok = 0;
				FOR(j,1, st.size()){
					if(P[st[j]] != st[f[j]])ok = 0;
				}
				okk |= ok;
			}while(next_permutation(st.begin(), st.end()));
			ans[i] = okk;
		}
		f0r(i, N){
			if(diesum[i] != 0)ans[i] = 0;
		}
		return ans;
	}
	else{
		vb realfather(N);
		f0r(i, N){
			bool ok = 1; 
			for(auto u : adj[i]){
				if(sts[u] != 1)ok = 0;
			}
			realfather[i] = ok;
		}
		f0r(i, N){
			int cnt = 0; int sp = 0;
			for(auto u : adj[i]){
				if(sts[u] != 1){
					cnt++; sp = u;
				}
			}
			if(cnt == 1){
				if(realfather[sp]){
					set<int>thing;
					for(auto u : colset[i])thing.insert(u);
					bool ok = 1;
					for(auto u : colset[sp]){
						if(!thing.count(u))ok = 0;
					}
					ans[i] = ok;
				}
			}
			else if(cnt == 0){
				ans[i] = 1;
			}
		}
		f0r(i, N){
			if(diesum[i] != 0)ans[i] = 0;
		}
		//for adj of each node, sort them by size of colset
		/*
		f0r(i,N){
			vpii w;
			for(auto u : adj[i]){
				w.pb(mp(colset[u].size(), u));
				sort(w.rbegin(), w.rend());
			}
			adj[i].clear();
			for(auto u : w){
				adj[i].pb(u.second);
			}
		}
		*/
		/*
		d4(0);
		f0r(i, N){
			vout(cha[i]);
		}
		*/
		/*
		su.resize(N);
		f0r(i, N){
			su[i].resize(4);
		}
		d3(0);
		solve(0);
		*/
		// solve(0);
		return ans;
	}
	
}

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