//JOI 2023 Final Round
#include<bits/stdc++.h>
using namespace std;
#define int long long
struct ufind{
vector<int> chef;
ufind(int n){
chef.assign(n, 0);
iota(chef.begin(), chef.end(), 0);
}
int find(int a){
if(chef[a]==a) return a;
return chef[a] = find(chef[a]);
}
void unite(int a, int b){
a=find(a); b=find(b);
chef[b]=a;
}
};
struct tree{
int n;
vector<vector<int> > adi;
vector<int> tin;
vector<int> tout;
vector<int> h;
int t=0;
const int L=25;
vector<vector<int> > p;
tree(int ninput){
n=ninput;
adi.assign(n, {});
tin.assign(n, 0);
tout.assign(n, 0);
h.assign(n, 0);
p.assign(L, vector<int> (n, -1));
}
void dfs(int v, int par){
tin[v]=t;
t++;
p[0][v]= par;
for(int i=1; i<L; i++){
if(p[i-1][v] == -1) break;
p[i][v] = p[p[i-1][v]][i-1];
}
for(auto u: adi[v]){
if(u==par) continue;
h[u] = h[v]+1;
dfs(u, v);
}
tout[v]=t;
t++;
}
bool ancestor(int a, int b){
return tin[a]<=tin[b] && tout[b]<=tout[a];
}
int lca(int a, int b){
if(ancestor(a, b)) return a;
if(ancestor(b, a)) return b;
for(int i=L-1; i>=0; i--){
if(p[i][a]!=-1 && !ancestor(p[i][a], b)){
a = p[i][a];
}
}
return p[0][a];
}
int dist(int a, int b){
int x=lca(a, b);
int dist = h[a]-h[x] + h[b]-h[x];
return dist;
}
};
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int> h(n);
for(int i=0; i<n; i++){
cin >> h[i];
}
tree g(n);
for(int i=0; i<n-1; i++){
int a, b;
cin >> a >> b;
a--; b--;
g.adi[a].push_back(b);
g.adi[b].push_back(a);
}
g.dfs(0, -1);
vector<int> sorted(n);
iota(sorted.begin(), sorted.end(), 0);
sort(sorted.begin(), sorted.end(), [&](int i, int j){
return h[i] < h[j];
});
vector<int> ans(n, 0);
ufind uf(n);
int maxi=0;
for(auto v: sorted){
for(auto u: g.adi[v]){
if(h[u] > h[v]) continue;
u=uf.find(u);
ans[v] = max(ans[v], ans[u] + g.dist(v, u));
uf.unite(v, u);
}
maxi = max(maxi, ans[v]);
}
cout << maxi << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Runtime error |
2 ms |
596 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Runtime error |
2 ms |
596 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Runtime error |
2 ms |
596 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Runtime error |
2 ms |
596 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Runtime error |
1 ms |
468 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Runtime error |
2 ms |
596 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |