Submission #1082039

#TimeUsernameProblemLanguageResultExecution timeMemory
1082039TymondCat Exercise (JOI23_ho_t4)C++17
100 / 100
126 ms41728 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; #define fi first #define se second #define vi vector<int> #define vll vector<long long> #define pii pair<int, int> #define pll pair<long long, long long> #define pb push_back #define mp make_pair #define eb emplace_back #define all(x) (x).begin(), (x).end() #define sz(x) (int)(x).size() mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); mt19937_64 rng64(chrono::steady_clock::now().time_since_epoch().count()); inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);} inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);} #ifdef DEBUG auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";} auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";} #define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X) #else #define debug(...){} #endif struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator()(uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } }; const int MAXN = 2e5 + 7; const int MAXK = 20; vi g[MAXN]; int a[MAXN]; ll dp[MAXN]; int pos[MAXN]; int dep[MAXN]; int jump[MAXK][MAXN]; bool ok[MAXN]; int rep[MAXN]; int info[MAXN]; int n; vi akt; int Find(int x){ if(x == rep[x]){ return x; } return rep[x] = Find(rep[x]); } void dfs(int v, int p, int d){ dep[v] = d; jump[0][v] = p; for(auto u : g[v]){ if(u != p){ dfs(u, v, d + 1); } } } void preprocessing(){ dfs(1, 1, 0); for(int i = 1; i < MAXK; i++){ for(int j = 1; j <= n; j++){ jump[i][j] = jump[i - 1][jump[i - 1][j]]; } } } int lca(int u, int v){ if(dep[u] > dep[v]){ swap(u, v); } for(int i = MAXK - 1; i >= 0; i--){ if(dep[v] - dep[u] >= (1 << i)){ v = jump[i][v]; } } if(u == v){ return v; } for(int i = MAXK - 1; i >= 0; i--){ if(jump[i][u] != jump[i][v]){ u = jump[i][u]; v = jump[i][v]; } } return jump[0][v]; } int dist(int u, int v){ return dep[u] + dep[v] - 2 * dep[lca(u, v)]; } void getBest(int v){ for(auto u : g[v]){ if(!ok[u]){ continue; } int r = Find(u); akt.pb(pos[info[r]]); int our = Find(v); rep[r] = our; info[our] = max(info[our], info[r]); } } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; for(int i = 1; i <= n; i++){ cin >> a[i]; pos[a[i]] = i; rep[i] = i; info[i] = a[i]; } for(int i = 1; i < n; i++){ int u, v; cin >> u >> v; g[u].pb(v); g[v].pb(u); } preprocessing(); for(int i = 1; i <= n; i++){ akt.clear(); ok[pos[i]] = 1; getBest(pos[i]); //cout << i << ' ' << pos[i] << '\n'; for(auto ele : akt){ //cout << ele << '\n'; dp[pos[i]] = max(dp[pos[i]], (ll)dp[ele] + dist(pos[i], ele)); } } cout << dp[pos[n]] << '\n'; return 0; }
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