Submission #987666

#TimeUsernameProblemLanguageResultExecution timeMemory
987666OtalpCat Exercise (JOI23_ho_t4)C++14
100 / 100
414 ms60076 KiB
#include<bits/stdc++.h> using namespace std; #define pb push_back #define ll long long vector<int> q[200100]; int p[200100], sz[200100]; ll mx[200100]; ll dp[200100]; int jmp[200100][30]; int tin[200100], tout[200100], timer = 0; int h[200100]; int pos[200100]; int a[200100]; void dfs(int v, int p){ jmp[v][0] = p; tin[v] = ++timer; for(int to: q[v]){ if(to == p) continue; h[to] = h[v] + 1; dfs(to, v); } tout[v] = ++timer; } bool upper(int a, int b){ if(a == 0) return 1; return tin[a] <= tin[b] and tout[a] >= tout[b]; } int lca(int a, int b){ if(upper(a, b)) return a; if(upper(b, a)) return b; for(int i=20; i>=0; i--){ if(upper(jmp[a][i], b)) continue; a = jmp[a][i]; } return jmp[a][0]; } int dist(int a, int b){ return h[a] + h[b] - 2 * h[lca(a, b)]; } int get(int a){ if(p[a] == a) return a; return p[a] = get(p[a]); } void un(int x, int y){ x = get(x); y = get(y); if(x == y) return; if(sz[x] > sz[y]) swap(x, y); p[y] = p[x]; sz[x] += sz[y]; if(a[mx[x]] < a[mx[y]]) mx[x] = mx[y]; } void solve(){ int n; cin>>n; for(int i=1; i<=n; i++){ cin>>a[i]; p[i] = i; mx[i] = i; pos[a[i]] = i; sz[i] = 1; dp[i] = 0; } for(int i=1; i<n; i++){ int l, r; cin>>l>>r; q[l].pb(r); q[r].pb(l); } dfs(1, 0); for(int k=1; k<=20; k++){ for(int i=1; i<=n; i++){ if((1 << k) > n) break; jmp[i][k] = jmp[jmp[i][k - 1]][k - 1]; } } for(int i=1; i<=n; i++){ vector<int> d; int v = pos[i]; for(int to: q[v]){ if(a[to] > i or get(to) == get(v)) continue; to = get(to); d.pb(mx[to]); un(to, v); } //cout<<"#################\n"; //cout<<v<<'\n'; dp[v] = 0; for(int h: d){ //cout<<h<<' '; dp[v] = max(dp[v], dp[h] + dist(v, h)); } //cout<<'\n'; //cout<<dp[v]<<'\n'; } cout<<dp[pos[n]]<<'\n';; } int main(){ solve(); }
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