oj.uz

Submission #891760

# Submission time Handle Problem Language Result Execution time Memory
891760 2023-12-24T02:37:21 Z abysmal Cat Exercise (JOI23_ho_t4) C++14
100 / 100
 755 ms 68460 KB 
#include<iostream>
#include<stdio.h>
#include<stdint.h>
#include<vector>
#include<algorithm>
#include<utility>
#include<set>
#include<map>
#include<queue>
#include<stack>
#include<iomanip>
#include<string>
#include<math.h>
#include<assert.h>

using namespace std;

const double PI = (double) atan(1.0) * 4;
const int64_t INF = (int64_t) 1e18 + 777;
const int64_t mINF = (int64_t) 2e9 + 777;
const int64_t offset = (int64_t) 1e6 + 777;
const int64_t MOD = 1e9 + 7;
const int nbit = 11;
const int ndig = 10;
const int nchar = 26;
const int p1 = 31;
const int p2 = 53;
const int D = 4;
int dr[D] = {0, 1, 0, -1};
int dc[D] = {1, 0, -1, 0};
// 0 right // 1 down // 2 left // 3 up

int modadd(int t1, int t2)
{
    int res = t1 + t2;
    if(res >= MOD) res -= MOD;

    return res;
}

int modmul(int t1, int t2)
{
    int64_t res = 1LL * t1 * t2;
    return (res % MOD);
}

struct LCA
{
    int n; int t;
    int LOG;
    vector<int> f;
    vector<int> pos;
    vector<int> depth;
    vector<vector<int> > rmq;
    vector<vector<int> > adj;

    LCA(int n_)
    {
        n = n_; t = 0;
        LOG = 0;
        f.resize(n, -1);
        adj.resize(n);
        depth.resize(n, 0);
    }

    void prep()
    {
        DFS();
        while((1 << LOG) <= t) LOG++;
        rmq.resize(LOG, vector<int>(t, 0));
        for(int i = 0; i < t; i++)
        {
            rmq[0][i] = pos[i];
        }

        for(int i = 1; i < LOG; i++)
        {
            for(int j = 0; j + (1 << i) - 1 < t; j++)
            {
                int d1 = depth[ rmq[i - 1][j] ];
                int d2 = depth[ rmq[i - 1][j + (1 << (i - 1))] ];
                if(d1 < d2) rmq[i][j] = rmq[i - 1][j];
                else rmq[i][j] = rmq[i - 1][j + (1 << (i - 1))];
            }
        }
    }

    int getLCA(int i, int j)
    {
        i = f[i]; j = f[j];
        if(i > j) swap(i, j);
        int len = j - i + 1;
        int bt = 31 - __builtin_clz(len);
        if(depth[ rmq[bt][i] ] < depth[ rmq[bt][j - (1 << bt) + 1] ]) return rmq[bt][i];
        return rmq[bt][j - (1 << bt) + 1];
    }

    int dis(int u, int v)
    {
        int x = getLCA(u, v);
        return depth[u] + depth[v] - 2 * depth[x];
    }

    void addEdge(int u, int v)
    {
        adj[u].push_back(v);
        adj[v].push_back(u);
    }

    void DFS(int u = 0, int p = -1)
    {
        f[u] = t++;
        pos.push_back(u);

        for(int i = 0; i < (int) adj[u].size(); i++)
        {
            int v = adj[u][i];
            if(v == p) continue;

            depth[v] = depth[u] + 1;
            DFS(v, u);

            pos.push_back(u);
            t++;
        }
    }
};

struct Solution
{
    int n;
    vector<int> a;
    vector<int> ver;
    vector<int> link;
    vector<int> size;
    vector<vector<int> > adj;
    Solution() {}

    void solve()
    {
        cin >> n;
        a.resize(n);
        ver.resize(n, -1);
        LCA lca(n);
        adj.resize(n);
        for(int i = 0; i < n; i++)
        {
            cin >> a[i];
            a[i]--;

            ver[a[i]] = i;
        }

        for(int i = 0; i < n - 1; i++)
        {
            int u; int v;
            cin >> u >> v;
            u--; v--;

            lca.addEdge(u, v);
            adj[u].push_back(v);
            adj[v].push_back(u);
        }
        lca.prep();
        link.resize(n);
        for(int i = 0; i < n; i++)
        {
            link[i] = i;
        }

        vector<int64_t> dp(n, 0);
        for(int i = 0; i < n; i++)
        {
            int u = ver[i];
            for(int j = 0; j < (int) adj[u].size(); j++)
            {
                int v = adj[u][j];
                if(a[v] > a[u]) continue;

                int x = find(v);
                dp[u] = max(dp[u], dp[x] + lca.dis(u, x));
                unite(u, x);
            }
        }

        cout << dp[ver[n - 1]] << "\n";
    }

    int find(int x)
    {
        while(x != link[x])
        {
            x = link[x];
        }
//        cerr << "c = " << c << "\n";
        return x;
    }

    void unite(int x, int y)
    {
        y = find(y);
        link[y] = x;
    }

    int modsub(int t1, int t2)
    {
        int res = t1 - t2;
        if(res < 0) res += MOD;

        return res;
    }

    bool BIT(int& mask, int& j)
    {
        return (mask & MASK(j));
    }

    int64_t Abs(int64_t t1)
    {
        if(t1 < 0) return -t1;
        return t1;
    }

    int MASK(int j)
    {
        return (1 << j);
    }
};

void __startup()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);

//    freopen("in.txt", "r", stdin);
//    freopen("out.txt", "w", stdout);
}

int main()
{
    __startup();
    int t = 1;
//    cin >> t;

    for(int i = 1; i <= t; i++)
    {
        Solution().solve();
    }

    return 0;
}

Subtask #1
7.0 / 7.0

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

Subtask #2
7.0 / 7.0

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

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 3 ms 1884 KB Output is correct
19 Correct 3 ms 1884 KB Output is correct
20 Correct 3 ms 1884 KB Output is correct
21 Correct 3 ms 1892 KB Output is correct
22 Correct 3 ms 1764 KB Output is correct
23 Correct 3 ms 1884 KB Output is correct
24 Correct 3 ms 1912 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 3 ms 1884 KB Output is correct
19 Correct 3 ms 1884 KB Output is correct
20 Correct 3 ms 1884 KB Output is correct
21 Correct 3 ms 1892 KB Output is correct
22 Correct 3 ms 1764 KB Output is correct
23 Correct 3 ms 1884 KB Output is correct
24 Correct 3 ms 1912 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 3 ms 1824 KB Output is correct
27 Correct 3 ms 1884 KB Output is correct
28 Correct 3 ms 1628 KB Output is correct
29 Correct 3 ms 1872 KB Output is correct
30 Correct 3 ms 1880 KB Output is correct
31 Correct 3 ms 1628 KB Output is correct
32 Correct 3 ms 1736 KB Output is correct
33 Correct 3 ms 1664 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 3 ms 1884 KB Output is correct
19 Correct 3 ms 1884 KB Output is correct
20 Correct 3 ms 1884 KB Output is correct
21 Correct 3 ms 1892 KB Output is correct
22 Correct 3 ms 1764 KB Output is correct
23 Correct 3 ms 1884 KB Output is correct
24 Correct 3 ms 1912 KB Output is correct
25 Correct 100 ms 68284 KB Output is correct
26 Correct 102 ms 68452 KB Output is correct
27 Correct 141 ms 68288 KB Output is correct
28 Correct 124 ms 68460 KB Output is correct
29 Correct 128 ms 68228 KB Output is correct
30 Correct 128 ms 68440 KB Output is correct
31 Correct 147 ms 68264 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 444 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 621 ms 62868 KB Output is correct
4 Correct 755 ms 62868 KB Output is correct
5 Correct 520 ms 62632 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 3 ms 1884 KB Output is correct
19 Correct 3 ms 1884 KB Output is correct
20 Correct 3 ms 1884 KB Output is correct
21 Correct 3 ms 1892 KB Output is correct
22 Correct 3 ms 1764 KB Output is correct
23 Correct 3 ms 1884 KB Output is correct
24 Correct 3 ms 1912 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 3 ms 1824 KB Output is correct
27 Correct 3 ms 1884 KB Output is correct
28 Correct 3 ms 1628 KB Output is correct
29 Correct 3 ms 1872 KB Output is correct
30 Correct 3 ms 1880 KB Output is correct
31 Correct 3 ms 1628 KB Output is correct
32 Correct 3 ms 1736 KB Output is correct
33 Correct 3 ms 1664 KB Output is correct
34 Correct 100 ms 68284 KB Output is correct
35 Correct 102 ms 68452 KB Output is correct
36 Correct 141 ms 68288 KB Output is correct
37 Correct 124 ms 68460 KB Output is correct
38 Correct 128 ms 68228 KB Output is correct
39 Correct 128 ms 68440 KB Output is correct
40 Correct 147 ms 68264 KB Output is correct
41 Correct 1 ms 444 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 621 ms 62868 KB Output is correct
44 Correct 755 ms 62868 KB Output is correct
45 Correct 520 ms 62632 KB Output is correct
46 Correct 679 ms 66004 KB Output is correct
47 Correct 698 ms 65532 KB Output is correct
48 Correct 678 ms 66472 KB Output is correct
49 Correct 663 ms 65444 KB Output is correct
50 Correct 257 ms 63176 KB Output is correct
51 Correct 248 ms 63144 KB Output is correct
52 Correct 264 ms 62940 KB Output is correct
53 Correct 281 ms 62988 KB Output is correct