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Submission #1095405

# Submission time Handle Problem Language Result Execution time Memory
1095405 2024-10-02T04:12:12 Z giaminh2211 Cat Exercise (JOI23_ho_t4) C++14
100 / 100
 178 ms 51836 KB 
#include <bits/stdc++.h>

using namespace std;
using ll=long long;

const int N=2e5+13;
int n;
int a[N];
int h[N];
int d[N];
vector<int> g[N];
int x, y;
int par[N];
int st[N][20];
int val[N];
ll dp[N];

void dfs(int v, int par){
    for(int c: g[v]){
        if(c==par) continue;
        d[c]=d[v]+1;
        st[c][0]=v;
        for(int j=1; j<20; j++){
            st[c][j]=st[st[c][j-1]][j-1];
        }
        dfs(c, v);
    }
}

void scan(){
    cin >> n;
    for(int i=1; i<=n; i++){
        cin >> a[i];
        h[a[i]]=i;
        val[i]=a[i];
        par[i]=i;
    }
    for(int i=1; i<n; i++){
        cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    dfs(1, 1);
}

int lca(int u, int v){
    if(d[u] > d[v]) swap(u, v);
    int k=d[v]-d[u];
    for(int j=0; j<=19; j++){
        if(k >> j & 1){
            v=st[v][j];
        }
    }
    if(u==v) return u;
    for(int j=19; j>=0; j--){
        if(st[u][j]!=st[v][j]){
            u=st[u][j];
            v=st[v][j];
        }
    }
    return st[u][0];
}

int dis(int u, int v){
    return d[u]+d[v]-2*d[lca(u, v)];
}

int f(int v){
    if(par[v]==v) return v;
    par[v]=f(par[v]);
    return par[v];
}

void uni(int u, int v){
    int Ru=f(u);
    int Rv=f(v);
    if(Ru!=Rv){
        if(val[Ru] > val[Rv]) swap(Ru, Rv); // Ru < Rv
        par[Ru]=Rv;
        val[Rv]=max(val[Ru], val[Rv]);
    }
}

void solve(){
    for(int i=1; i<=n; i++){
        int u=h[i];
        for(int v: g[u]){
            if(a[v] < a[u]){
                int prv=f(v);
                dp[u]=max(dp[u], dp[prv] + dis(prv, u));
                uni(u, v);
            }
        }
    }
    cout << dp[h[n]];
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    scan();
    solve();
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4960 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5160 KB Output is correct
6 Correct 2 ms 5164 KB Output is correct
7 Correct 2 ms 4952 KB Output is correct
8 Correct 2 ms 5172 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4960 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5160 KB Output is correct
6 Correct 2 ms 5164 KB Output is correct
7 Correct 2 ms 4952 KB Output is correct
8 Correct 2 ms 5172 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5120 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4960 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5160 KB Output is correct
6 Correct 2 ms 5164 KB Output is correct
7 Correct 2 ms 4952 KB Output is correct
8 Correct 2 ms 5172 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5120 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 6 ms 6236 KB Output is correct
19 Correct 5 ms 6348 KB Output is correct
20 Correct 5 ms 6096 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6236 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4960 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5160 KB Output is correct
6 Correct 2 ms 5164 KB Output is correct
7 Correct 2 ms 4952 KB Output is correct
8 Correct 2 ms 5172 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5120 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 6 ms 6236 KB Output is correct
19 Correct 5 ms 6348 KB Output is correct
20 Correct 5 ms 6096 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6236 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 4 ms 5936 KB Output is correct
27 Correct 4 ms 5980 KB Output is correct
28 Correct 4 ms 6100 KB Output is correct
29 Correct 4 ms 6236 KB Output is correct
30 Correct 4 ms 5724 KB Output is correct
31 Correct 4 ms 5724 KB Output is correct
32 Correct 4 ms 5724 KB Output is correct
33 Correct 4 ms 5724 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4960 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5160 KB Output is correct
6 Correct 2 ms 5164 KB Output is correct
7 Correct 2 ms 4952 KB Output is correct
8 Correct 2 ms 5172 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5120 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 6 ms 6236 KB Output is correct
19 Correct 5 ms 6348 KB Output is correct
20 Correct 5 ms 6096 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6236 KB Output is correct
25 Correct 87 ms 51836 KB Output is correct
26 Correct 86 ms 51728 KB Output is correct
27 Correct 86 ms 51796 KB Output is correct
28 Correct 113 ms 51792 KB Output is correct
29 Correct 101 ms 51792 KB Output is correct
30 Correct 105 ms 51796 KB Output is correct
31 Correct 101 ms 51792 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 119 ms 36008 KB Output is correct
4 Correct 122 ms 36108 KB Output is correct
5 Correct 117 ms 36176 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4960 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5160 KB Output is correct
6 Correct 2 ms 5164 KB Output is correct
7 Correct 2 ms 4952 KB Output is correct
8 Correct 2 ms 5172 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5120 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 6 ms 6236 KB Output is correct
19 Correct 5 ms 6348 KB Output is correct
20 Correct 5 ms 6096 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6236 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 4 ms 5936 KB Output is correct
27 Correct 4 ms 5980 KB Output is correct
28 Correct 4 ms 6100 KB Output is correct
29 Correct 4 ms 6236 KB Output is correct
30 Correct 4 ms 5724 KB Output is correct
31 Correct 4 ms 5724 KB Output is correct
32 Correct 4 ms 5724 KB Output is correct
33 Correct 4 ms 5724 KB Output is correct
34 Correct 87 ms 51836 KB Output is correct
35 Correct 86 ms 51728 KB Output is correct
36 Correct 86 ms 51796 KB Output is correct
37 Correct 113 ms 51792 KB Output is correct
38 Correct 101 ms 51792 KB Output is correct
39 Correct 105 ms 51796 KB Output is correct
40 Correct 101 ms 51792 KB Output is correct
41 Correct 3 ms 4952 KB Output is correct
42 Correct 2 ms 5212 KB Output is correct
43 Correct 119 ms 36008 KB Output is correct
44 Correct 122 ms 36108 KB Output is correct
45 Correct 117 ms 36176 KB Output is correct
46 Correct 171 ms 44884 KB Output is correct
47 Correct 178 ms 43348 KB Output is correct
48 Correct 166 ms 45392 KB Output is correct
49 Correct 176 ms 43560 KB Output is correct
50 Correct 148 ms 36176 KB Output is correct
51 Correct 156 ms 36316 KB Output is correct
52 Correct 139 ms 36228 KB Output is correct
53 Correct 135 ms 36180 KB Output is correct