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Submission #1069997

# Submission time Handle Problem Language Result Execution time Memory
1069997 2024-08-22T10:54:44 Z Whisper Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 184 ms 68012 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX                 200005
#define LOG                     19
vector<int> G[MAX];
int label[MAX], numNode;

int root = 1;


int up[MAX][LOG], depth[MAX];

void pre_dfs(int u, int p = -1){
    for (int &v : G[u]) if(v ^ p){
        up[v][0] = u;
        depth[v] = depth[u] + 1;

        for (int i = 1; i < LOG; ++i) up[v][i] = up[up[v][i - 1]][i - 1];
        pre_dfs(v, u);
    }
}
int low_bit(int p){
    return (p & (-p));
}
int lca(int u, int v){
    if (depth[u] < depth[v]) swap(u, v);
    int dis = depth[u] - depth[v];
    for (; dis > 0; dis ^= low_bit(dis)){
        int i = __builtin_ctz(low_bit(dis));
        u = up[u][i];
    }
    if(u == v) return u;

    for (int i = LOG - 1; i >= 0; --i) if(up[u][i] != up[v][i]){
        u = up[u][i], v = up[v][i];
    }
    return up[u][0];
}

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


namespace SUBTASK_4{
    int dp[MAX], del[MAX];

    bool vis[MAX];
    int dfs(int u){
        vis[u] = true;

        int mx_node = u;
        for (int&v : G[u]) if(!vis[v]){
            if(del[v]) continue;
            int x = dfs(v);
            if(label[mx_node] < label[x]){
                mx_node = x;
            }
        }
        return mx_node;
    }
    void main(void){
        queue<int> q;
        q.emplace(root);
        while(q.size()){
            int u = q.front(); q.pop();
            if(del[u]) continue;
            del[u] = true;
            for (int&v : G[u]){
                memset(vis, 0, (numNode + 1) * sizeof(bool));
                int x = dfs(v);
                if(!del[x]){
                    if(maximize(dp[x], dp[u] + dis(x, u))){
                        q.push(x);
                    }
                }
            }
        }
        int ans = 0;
        for (int i = 1; i <= numNode; ++i) maximize(ans, dp[i]);
        cout << ans;
    }
}

namespace SUBTASK_7{

    int mx[MAX], pa[MAX];

    int find(int u){
        return u == pa[u] ? u : pa[u] = find(pa[u]);
    }

    bool joint(int u, int v){
        u = find(u), v = find(v);
        if(u == v) return false;

        if(mx[u] < mx[v]){
            swap(u, v);
        }
        pa[v] = u;
        maximize(mx[u], mx[v]);
        return true;
    }
    int dp[MAX];

    int ID[MAX];
    void main(void){
        for (int i = 1; i <= numNode; ++i) mx[i] = label[i], pa[i] = i, ID[label[i]] = i;

        memset(dp, 0, (numNode + 1) * sizeof(int));
        int ans = 0;
        for (int i = 1; i <= numNode; ++i){
            int u = ID[i];

            for (int&v : G[u]){
                if (label[v] < label[u]){
                    int prv = find(v);
                    maximize(dp[u], dp[prv] + dis(prv, u));
                    joint(v, u);
                }
            }
            maximize(ans, dp[u]);
        }
        cout << dp[ID[numNode]];
    }
}
void process(void){
    cin >> numNode;
    for (int i = 1; i <= numNode; ++i){
        cin >> label[i];
        if(label[i] == numNode) root = i;
    }
    for (int i = 1; i < numNode; ++i){
        int u, v; cin >> u >> v;
        G[u].emplace_back(v);
        G[v].emplace_back(u);
    }
    pre_dfs(root, root);
    if(numNode <= 5000) {
        SUBTASK_4 :: main();
        return;
    }

    SUBTASK_7 :: main();
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 2 ms 12380 KB Output is correct
5 Correct 4 ms 12380 KB Output is correct
6 Correct 2 ms 12376 KB Output is correct
7 Correct 2 ms 12376 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12376 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 2 ms 12380 KB Output is correct
5 Correct 4 ms 12380 KB Output is correct
6 Correct 2 ms 12376 KB Output is correct
7 Correct 2 ms 12376 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12376 KB Output is correct
11 Correct 3 ms 12380 KB Output is correct
12 Correct 3 ms 12380 KB Output is correct
13 Correct 2 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 3 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12380 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 2 ms 12380 KB Output is correct
5 Correct 4 ms 12380 KB Output is correct
6 Correct 2 ms 12376 KB Output is correct
7 Correct 2 ms 12376 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12376 KB Output is correct
11 Correct 3 ms 12380 KB Output is correct
12 Correct 3 ms 12380 KB Output is correct
13 Correct 2 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 3 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12380 KB Output is correct
18 Correct 102 ms 13148 KB Output is correct
19 Correct 99 ms 13144 KB Output is correct
20 Correct 100 ms 13164 KB Output is correct
21 Correct 6 ms 13148 KB Output is correct
22 Correct 5 ms 12888 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 2 ms 12380 KB Output is correct
5 Correct 4 ms 12380 KB Output is correct
6 Correct 2 ms 12376 KB Output is correct
7 Correct 2 ms 12376 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12376 KB Output is correct
11 Correct 3 ms 12380 KB Output is correct
12 Correct 3 ms 12380 KB Output is correct
13 Correct 2 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 3 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12380 KB Output is correct
18 Correct 102 ms 13148 KB Output is correct
19 Correct 99 ms 13144 KB Output is correct
20 Correct 100 ms 13164 KB Output is correct
21 Correct 6 ms 13148 KB Output is correct
22 Correct 5 ms 12888 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct
25 Correct 2 ms 12380 KB Output is correct
26 Correct 92 ms 13144 KB Output is correct
27 Correct 102 ms 13148 KB Output is correct
28 Correct 103 ms 13148 KB Output is correct
29 Correct 98 ms 13148 KB Output is correct
30 Correct 15 ms 12892 KB Output is correct
31 Correct 17 ms 12960 KB Output is correct
32 Correct 12 ms 12888 KB Output is correct
33 Correct 16 ms 12960 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 2 ms 12380 KB Output is correct
5 Correct 4 ms 12380 KB Output is correct
6 Correct 2 ms 12376 KB Output is correct
7 Correct 2 ms 12376 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12376 KB Output is correct
11 Correct 3 ms 12380 KB Output is correct
12 Correct 3 ms 12380 KB Output is correct
13 Correct 2 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 3 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12380 KB Output is correct
18 Correct 102 ms 13148 KB Output is correct
19 Correct 99 ms 13144 KB Output is correct
20 Correct 100 ms 13164 KB Output is correct
21 Correct 6 ms 13148 KB Output is correct
22 Correct 5 ms 12888 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct
25 Correct 82 ms 66900 KB Output is correct
26 Correct 85 ms 66896 KB Output is correct
27 Correct 80 ms 68012 KB Output is correct
28 Correct 98 ms 63568 KB Output is correct
29 Correct 105 ms 65360 KB Output is correct
30 Correct 94 ms 64852 KB Output is correct
31 Correct 100 ms 65620 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12380 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 113 ms 56820 KB Output is correct
4 Correct 115 ms 55636 KB Output is correct
5 Correct 116 ms 56916 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12376 KB Output is correct
2 Correct 2 ms 12380 KB Output is correct
3 Correct 2 ms 12380 KB Output is correct
4 Correct 2 ms 12380 KB Output is correct
5 Correct 4 ms 12380 KB Output is correct
6 Correct 2 ms 12376 KB Output is correct
7 Correct 2 ms 12376 KB Output is correct
8 Correct 2 ms 12380 KB Output is correct
9 Correct 2 ms 12380 KB Output is correct
10 Correct 2 ms 12376 KB Output is correct
11 Correct 3 ms 12380 KB Output is correct
12 Correct 3 ms 12380 KB Output is correct
13 Correct 2 ms 12380 KB Output is correct
14 Correct 3 ms 12380 KB Output is correct
15 Correct 3 ms 12380 KB Output is correct
16 Correct 2 ms 12380 KB Output is correct
17 Correct 2 ms 12380 KB Output is correct
18 Correct 102 ms 13148 KB Output is correct
19 Correct 99 ms 13144 KB Output is correct
20 Correct 100 ms 13164 KB Output is correct
21 Correct 6 ms 13148 KB Output is correct
22 Correct 5 ms 12888 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct
25 Correct 2 ms 12380 KB Output is correct
26 Correct 92 ms 13144 KB Output is correct
27 Correct 102 ms 13148 KB Output is correct
28 Correct 103 ms 13148 KB Output is correct
29 Correct 98 ms 13148 KB Output is correct
30 Correct 15 ms 12892 KB Output is correct
31 Correct 17 ms 12960 KB Output is correct
32 Correct 12 ms 12888 KB Output is correct
33 Correct 16 ms 12960 KB Output is correct
34 Correct 82 ms 66900 KB Output is correct
35 Correct 85 ms 66896 KB Output is correct
36 Correct 80 ms 68012 KB Output is correct
37 Correct 98 ms 63568 KB Output is correct
38 Correct 105 ms 65360 KB Output is correct
39 Correct 94 ms 64852 KB Output is correct
40 Correct 100 ms 65620 KB Output is correct
41 Correct 2 ms 12380 KB Output is correct
42 Correct 2 ms 12380 KB Output is correct
43 Correct 113 ms 56820 KB Output is correct
44 Correct 115 ms 55636 KB Output is correct
45 Correct 116 ms 56916 KB Output is correct
46 Correct 160 ms 64672 KB Output is correct
47 Correct 167 ms 63568 KB Output is correct
48 Correct 183 ms 65900 KB Output is correct
49 Correct 155 ms 63572 KB Output is correct
50 Correct 161 ms 56404 KB Output is correct
51 Correct 184 ms 56732 KB Output is correct
52 Correct 173 ms 55376 KB Output is correct
53 Correct 168 ms 56400 KB Output is correct