oj.uz

Submission #924627

# Submission time Handle Problem Language Result Execution time Memory
924627 2024-02-09T10:24:06 Z esomer Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 395 ms 68436 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

struct DSU
{
    vector<int> v;
    vector<pair<int, int>> mx;
    void init(int n, vector<int>& a){
        v.assign(n, -1);
        mx.resize(n);
        for(int i = 0; i < n; i++){
            mx[i] = {a[i], i};
        }
    }
    int get(int x){return v[x] < 0 ? x : v[x] = get(v[x]);}
    void unite(int x, int y){
        x = get(x); y = get(y);
        if(x == y) return;
        if(v[x] > v[y]) swap(x, y);
        v[x] += v[y]; v[y] = x;
        mx[x] = max(mx[x], mx[y]);
    }
    int getMx(int x){
        x = get(x);
        return mx[x].second;
    }
};

const int LOG = 20;

vector<int> depth, parents;
vector<vector<int>> dp, adj;

void DFS(int x){
    for(int node : adj[x]){
        if(node != parents[x]){
            parents[node] = x;
            depth[node] = depth[x] + 1;
            DFS(node);
        }
    }
}

int kth(int x, int dist){
    for(int k = 0; k < LOG; k++){
        if((1 << k) & dist){
            x = dp[k][x];
        }
    }
    return x;
}

int lca(int a, int b){
    if(depth[a] > depth[b]) swap(a, b);
    b = kth(b, depth[b] - depth[a]);
    if(a==b) return a;
    int anc = a;
    for(int k = LOG - 1; k >= 0; k--){
        if(dp[k][a] == dp[k][b]) anc = dp[k][a];
        else{
            a = dp[k][a];
            b = dp[k][b];
        }
    }
    return anc;
}

int getDist(int a, int b){
    int anc = lca(a, b);
    return depth[a] + depth[b] - 2 * depth[anc];
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int N; cin >> N;
    vector<pair<int, int>> P(N);
    vector<int> a(N);
    for(int i = 0; i < N; i++){
        int x; cin >> x;
        P[i] = {x, i};
        a[i] = x;
    }
    DSU UF; UF.init(N, a);
    adj.resize(N);
    for(int i = 0; i < N - 1; i++){
        int u, v; cin >> u >> v; u--; v--;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    parents.assign(N, -1);
    depth.assign(N, 0);
    DFS(0);
    dp.assign(LOG, vector<int>(N));
    for(int k = 0; k < LOG; k++){
        for(int i = 0; i < N; i++){
            if(k == 0) dp[k][i] = parents[i];
            else{
                if(dp[k-1][i] == -1) dp[k][i] = -1;
                else dp[k][i] = dp[k-1][dp[k-1][i]];
            }
        }
    }
    sort(P.begin(), P.end());
    vector<int> ans(N, 0);
    for(pair<int, int> p : P){
        int i = p.second;
        for(int node : adj[i]){
            if(a[node] > a[i]) continue;
            ans[i] = max(ans[i], ans[UF.getMx(node)]+getDist(i, UF.getMx(node)));
            UF.unite(i, node);
        }
    }
    cout << ans[P[N-1].second] << "\n";
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 3 ms 2000 KB Output is correct
20 Correct 3 ms 2140 KB Output is correct
21 Correct 3 ms 2140 KB Output is correct
22 Correct 3 ms 2140 KB Output is correct
23 Correct 3 ms 2136 KB Output is correct
24 Correct 3 ms 2136 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 3 ms 2000 KB Output is correct
20 Correct 3 ms 2140 KB Output is correct
21 Correct 3 ms 2140 KB Output is correct
22 Correct 3 ms 2140 KB Output is correct
23 Correct 3 ms 2136 KB Output is correct
24 Correct 3 ms 2136 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 3 ms 1924 KB Output is correct
27 Correct 5 ms 1884 KB Output is correct
28 Correct 3 ms 1884 KB Output is correct
29 Correct 3 ms 1884 KB Output is correct
30 Correct 4 ms 1880 KB Output is correct
31 Correct 4 ms 1880 KB Output is correct
32 Correct 4 ms 1880 KB Output is correct
33 Correct 3 ms 1924 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 3 ms 2000 KB Output is correct
20 Correct 3 ms 2140 KB Output is correct
21 Correct 3 ms 2140 KB Output is correct
22 Correct 3 ms 2140 KB Output is correct
23 Correct 3 ms 2136 KB Output is correct
24 Correct 3 ms 2136 KB Output is correct
25 Correct 116 ms 68412 KB Output is correct
26 Correct 117 ms 68236 KB Output is correct
27 Correct 116 ms 68324 KB Output is correct
28 Correct 165 ms 68436 KB Output is correct
29 Correct 175 ms 68420 KB Output is correct
30 Correct 195 ms 68408 KB Output is correct
31 Correct 172 ms 68432 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 320 ms 60720 KB Output is correct
4 Correct 293 ms 60716 KB Output is correct
5 Correct 299 ms 60720 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 600 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 2140 KB Output is correct
19 Correct 3 ms 2000 KB Output is correct
20 Correct 3 ms 2140 KB Output is correct
21 Correct 3 ms 2140 KB Output is correct
22 Correct 3 ms 2140 KB Output is correct
23 Correct 3 ms 2136 KB Output is correct
24 Correct 3 ms 2136 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 3 ms 1924 KB Output is correct
27 Correct 5 ms 1884 KB Output is correct
28 Correct 3 ms 1884 KB Output is correct
29 Correct 3 ms 1884 KB Output is correct
30 Correct 4 ms 1880 KB Output is correct
31 Correct 4 ms 1880 KB Output is correct
32 Correct 4 ms 1880 KB Output is correct
33 Correct 3 ms 1924 KB Output is correct
34 Correct 116 ms 68412 KB Output is correct
35 Correct 117 ms 68236 KB Output is correct
36 Correct 116 ms 68324 KB Output is correct
37 Correct 165 ms 68436 KB Output is correct
38 Correct 175 ms 68420 KB Output is correct
39 Correct 195 ms 68408 KB Output is correct
40 Correct 172 ms 68432 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 320 ms 60720 KB Output is correct
44 Correct 293 ms 60716 KB Output is correct
45 Correct 299 ms 60720 KB Output is correct
46 Correct 370 ms 64816 KB Output is correct
47 Correct 310 ms 63816 KB Output is correct
48 Correct 287 ms 65236 KB Output is correct
49 Correct 321 ms 63992 KB Output is correct
50 Correct 395 ms 60164 KB Output is correct
51 Correct 350 ms 59984 KB Output is correct
52 Correct 366 ms 60196 KB Output is correct
53 Correct 339 ms 60192 KB Output is correct