Submission #1057554

#TimeUsernameProblemLanguageResultExecution timeMemory
1057554n1kBeech Tree (IOI23_beechtree)C++17
100 / 100
417 ms204884 KiB
#include "beechtree.h"
#include <bits/stdc++.h>

using namespace std;

std::vector<int> beechtree(int N, int M, std::vector<int> P, std::vector<int> C){
    vector<multiset<pair<int, int>>> c(N);
    vector<map<int, int>> childs(N);
    vector<vector<int>> g(N);
    vector<int> ans(N, 1), sz(N, 1);
    for(int i=1; i<N; i++){
        g[P[i]].push_back(i);
    }
    auto check = [&](auto a, auto b){
        for(auto [k, v]:childs[b]){
            if(childs[a][k] < v){
                return false;
            }
        }
        return true;
    };
    auto add = [&](auto p, auto u){
        bool ok = 1;
        auto it = c[u].insert(p);
        if(next(it)!=c[u].end()){
            ok&=check(next(it)->second, it->second);
        }
        if(it!=c[u].begin()){
            ok&=check(it->second, prev(it)->second);
        } 
        return ok;
    };
    function<void(int)> dfs = [&](int u){
        for(auto v:g[u]){
            dfs(v);
            sz[u]+=sz[v];
            ans[u]&=ans[v];
            ans[u]&= !childs[u].count(C[v]);
            childs[u][C[v]] = sz[v];

            if(c[u].size() <c[v].size()){
                swap(c[u], c[v]);
            }
            // insert
            for(auto p:c[v]){
                ans[u]&=add(p, u);
            }
        }
        ans[u]&=add(make_pair(sz[u], u), u);
    };

    dfs(0);
    return ans;
}
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