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Submission #919667

# Submission time Handle Problem Language Result Execution time Memory
919667 2024-02-01T11:16:13 Z andrei_iorgulescu Cat Exercise (JOI23_ho_t4) C++14
100 / 100
 381 ms 70996 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

int n,p[200005],pos[200005];
vector<int>g[200005];
int bl[20][200005];
int lg[200005];
int tt[200005],sz[200005];
int cine[200005];
int h[200005],t[200005];
int dp[200005];

void dfs(int nod,int tata)
{
    for (auto vecin : g[nod])
    {
        if (vecin != tata)
        {
            h[vecin] = 1 + h[nod];
            t[vecin] = nod;
            dfs(vecin,nod);
        }
    }
}

int root(int x)
{
    while (x != tt[x])
        x = tt[x];
    return x;
}

void unite(int x,int y)
{
    x = root(x);
    y = root(y);
    if (x == y)
        return;
    if (sz[x] < sz[y])
        swap(x,y);
    tt[y] = x;
    sz[x] += sz[y];
    if (p[cine[y]] > p[cine[x]])
        cine[x] = cine[y];
}

int lca(int x,int y)
{
    if (h[x] > h[y])
        swap(x,y);
    for (int st = lg[n]; st >= 0; st--)
        if (h[y] - (1 << st) >= h[x])
            y = bl[st][y];
    if (x == y)
        return x;
    for (int st = lg[n]; st >= 0; st--)
        if (bl[st][x] != bl[st][y])
            x = bl[st][x],y = bl[st][y];
    return t[x];
}

int dist(int x,int y)
{
    return h[x] + h[y] - 2 * h[lca(x,y)];
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin >> n;
    for (int i = 1; i <= n; i++)
        cin >> p[i],pos[p[i]] = i;
    for (int i = 1; i <= n; i++)
        tt[i] = i,sz[i] = 1,cine[i] = i;
    for (int i = 1; i < n; i++)
    {
        int x,y;
        cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    dfs(1,0);
    for (int i = 2; i <= n; i++)
        lg[i] = 1 + lg[i / 2];
    for (int i = 1; i <= n; i++)
        bl[0][i] = t[i];
    for (int j = 1; j <= lg[n]; j++)
        for (int i = 1; i <= n; i++)
            bl[j][i] = bl[j - 1][bl[j - 1][i]];
    for (int i = 1; i <= n; i++)
    {
        int nod = pos[i];
        for (auto vecin : g[nod])
        {
            if (p[vecin] < p[nod])
            {
                int x = cine[root(vecin)];
                dp[nod] = max(dp[nod],dp[x] + dist(nod,x));
                unite(nod,vecin);
            }
        }
    }
    cout << dp[pos[n]];
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 4 ms 20824 KB Output is correct
3 Correct 4 ms 20824 KB Output is correct
4 Correct 4 ms 22872 KB Output is correct
5 Correct 4 ms 22872 KB Output is correct
6 Correct 5 ms 22872 KB Output is correct
7 Correct 4 ms 18776 KB Output is correct
8 Correct 4 ms 22876 KB Output is correct
9 Correct 5 ms 22872 KB Output is correct
10 Correct 4 ms 22872 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 4 ms 20824 KB Output is correct
3 Correct 4 ms 20824 KB Output is correct
4 Correct 4 ms 22872 KB Output is correct
5 Correct 4 ms 22872 KB Output is correct
6 Correct 5 ms 22872 KB Output is correct
7 Correct 4 ms 18776 KB Output is correct
8 Correct 4 ms 22876 KB Output is correct
9 Correct 5 ms 22872 KB Output is correct
10 Correct 4 ms 22872 KB Output is correct
11 Correct 6 ms 29016 KB Output is correct
12 Correct 5 ms 29016 KB Output is correct
13 Correct 5 ms 29016 KB Output is correct
14 Correct 5 ms 29020 KB Output is correct
15 Correct 5 ms 29016 KB Output is correct
16 Correct 5 ms 29020 KB Output is correct
17 Correct 5 ms 29016 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 4 ms 20824 KB Output is correct
3 Correct 4 ms 20824 KB Output is correct
4 Correct 4 ms 22872 KB Output is correct
5 Correct 4 ms 22872 KB Output is correct
6 Correct 5 ms 22872 KB Output is correct
7 Correct 4 ms 18776 KB Output is correct
8 Correct 4 ms 22876 KB Output is correct
9 Correct 5 ms 22872 KB Output is correct
10 Correct 4 ms 22872 KB Output is correct
11 Correct 6 ms 29016 KB Output is correct
12 Correct 5 ms 29016 KB Output is correct
13 Correct 5 ms 29016 KB Output is correct
14 Correct 5 ms 29020 KB Output is correct
15 Correct 5 ms 29016 KB Output is correct
16 Correct 5 ms 29020 KB Output is correct
17 Correct 5 ms 29016 KB Output is correct
18 Correct 10 ms 35936 KB Output is correct
19 Correct 7 ms 35932 KB Output is correct
20 Correct 8 ms 35928 KB Output is correct
21 Correct 8 ms 35932 KB Output is correct
22 Correct 7 ms 35928 KB Output is correct
23 Correct 7 ms 35932 KB Output is correct
24 Correct 7 ms 35928 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 4 ms 20824 KB Output is correct
3 Correct 4 ms 20824 KB Output is correct
4 Correct 4 ms 22872 KB Output is correct
5 Correct 4 ms 22872 KB Output is correct
6 Correct 5 ms 22872 KB Output is correct
7 Correct 4 ms 18776 KB Output is correct
8 Correct 4 ms 22876 KB Output is correct
9 Correct 5 ms 22872 KB Output is correct
10 Correct 4 ms 22872 KB Output is correct
11 Correct 6 ms 29016 KB Output is correct
12 Correct 5 ms 29016 KB Output is correct
13 Correct 5 ms 29016 KB Output is correct
14 Correct 5 ms 29020 KB Output is correct
15 Correct 5 ms 29016 KB Output is correct
16 Correct 5 ms 29020 KB Output is correct
17 Correct 5 ms 29016 KB Output is correct
18 Correct 10 ms 35936 KB Output is correct
19 Correct 7 ms 35932 KB Output is correct
20 Correct 8 ms 35928 KB Output is correct
21 Correct 8 ms 35932 KB Output is correct
22 Correct 7 ms 35928 KB Output is correct
23 Correct 7 ms 35932 KB Output is correct
24 Correct 7 ms 35928 KB Output is correct
25 Correct 3 ms 18776 KB Output is correct
26 Correct 8 ms 35672 KB Output is correct
27 Correct 9 ms 35932 KB Output is correct
28 Correct 8 ms 35672 KB Output is correct
29 Correct 7 ms 35672 KB Output is correct
30 Correct 8 ms 35416 KB Output is correct
31 Correct 8 ms 35420 KB Output is correct
32 Correct 8 ms 35416 KB Output is correct
33 Correct 9 ms 35416 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 4 ms 20824 KB Output is correct
3 Correct 4 ms 20824 KB Output is correct
4 Correct 4 ms 22872 KB Output is correct
5 Correct 4 ms 22872 KB Output is correct
6 Correct 5 ms 22872 KB Output is correct
7 Correct 4 ms 18776 KB Output is correct
8 Correct 4 ms 22876 KB Output is correct
9 Correct 5 ms 22872 KB Output is correct
10 Correct 4 ms 22872 KB Output is correct
11 Correct 6 ms 29016 KB Output is correct
12 Correct 5 ms 29016 KB Output is correct
13 Correct 5 ms 29016 KB Output is correct
14 Correct 5 ms 29020 KB Output is correct
15 Correct 5 ms 29016 KB Output is correct
16 Correct 5 ms 29020 KB Output is correct
17 Correct 5 ms 29016 KB Output is correct
18 Correct 10 ms 35936 KB Output is correct
19 Correct 7 ms 35932 KB Output is correct
20 Correct 8 ms 35928 KB Output is correct
21 Correct 8 ms 35932 KB Output is correct
22 Correct 7 ms 35928 KB Output is correct
23 Correct 7 ms 35932 KB Output is correct
24 Correct 7 ms 35928 KB Output is correct
25 Correct 92 ms 67412 KB Output is correct
26 Correct 95 ms 70948 KB Output is correct
27 Correct 90 ms 70992 KB Output is correct
28 Correct 163 ms 70976 KB Output is correct
29 Correct 165 ms 70996 KB Output is correct
30 Correct 149 ms 70992 KB Output is correct
31 Correct 163 ms 70968 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 5 ms 26968 KB Output is correct
3 Correct 300 ms 56524 KB Output is correct
4 Correct 293 ms 56144 KB Output is correct
5 Correct 269 ms 56144 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 18776 KB Output is correct
2 Correct 4 ms 20824 KB Output is correct
3 Correct 4 ms 20824 KB Output is correct
4 Correct 4 ms 22872 KB Output is correct
5 Correct 4 ms 22872 KB Output is correct
6 Correct 5 ms 22872 KB Output is correct
7 Correct 4 ms 18776 KB Output is correct
8 Correct 4 ms 22876 KB Output is correct
9 Correct 5 ms 22872 KB Output is correct
10 Correct 4 ms 22872 KB Output is correct
11 Correct 6 ms 29016 KB Output is correct
12 Correct 5 ms 29016 KB Output is correct
13 Correct 5 ms 29016 KB Output is correct
14 Correct 5 ms 29020 KB Output is correct
15 Correct 5 ms 29016 KB Output is correct
16 Correct 5 ms 29020 KB Output is correct
17 Correct 5 ms 29016 KB Output is correct
18 Correct 10 ms 35936 KB Output is correct
19 Correct 7 ms 35932 KB Output is correct
20 Correct 8 ms 35928 KB Output is correct
21 Correct 8 ms 35932 KB Output is correct
22 Correct 7 ms 35928 KB Output is correct
23 Correct 7 ms 35932 KB Output is correct
24 Correct 7 ms 35928 KB Output is correct
25 Correct 3 ms 18776 KB Output is correct
26 Correct 8 ms 35672 KB Output is correct
27 Correct 9 ms 35932 KB Output is correct
28 Correct 8 ms 35672 KB Output is correct
29 Correct 7 ms 35672 KB Output is correct
30 Correct 8 ms 35416 KB Output is correct
31 Correct 8 ms 35420 KB Output is correct
32 Correct 8 ms 35416 KB Output is correct
33 Correct 9 ms 35416 KB Output is correct
34 Correct 92 ms 67412 KB Output is correct
35 Correct 95 ms 70948 KB Output is correct
36 Correct 90 ms 70992 KB Output is correct
37 Correct 163 ms 70976 KB Output is correct
38 Correct 165 ms 70996 KB Output is correct
39 Correct 149 ms 70992 KB Output is correct
40 Correct 163 ms 70968 KB Output is correct
41 Correct 4 ms 18776 KB Output is correct
42 Correct 5 ms 26968 KB Output is correct
43 Correct 300 ms 56524 KB Output is correct
44 Correct 293 ms 56144 KB Output is correct
45 Correct 269 ms 56144 KB Output is correct
46 Correct 315 ms 65924 KB Output is correct
47 Correct 278 ms 64592 KB Output is correct
48 Correct 281 ms 66372 KB Output is correct
49 Correct 327 ms 64848 KB Output is correct
50 Correct 381 ms 59472 KB Output is correct
51 Correct 374 ms 59568 KB Output is correct
52 Correct 374 ms 59592 KB Output is correct
53 Correct 350 ms 59472 KB Output is correct