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Submission #881705

# Submission time Handle Problem Language Result Execution time Memory
881705 2023-12-01T18:45:05 Z Alcabel Cat Exercise (JOI23_ho_t4) C++17
54 / 100
 2000 ms 250824 KB 
#pragma GCC optimize("O3", "Ofast", "unroll-loops", "fast-math")
#pragma GCC target("avx", "avx2")
#include <bits/stdc++.h>
using namespace std;
 
const int maxn = 2e5, maxlog = 18;
const long long inf = 1e16;
int a[maxn];
vector<int> g[maxn];
int sz[maxn], level[maxn], centPar[maxn][maxlog];
int dist[maxn][maxlog], mx[maxn][maxlog], idxNxt[maxn][maxlog];
vector<int> toutList;
 
void dfsSz(int v, int p) {
    sz[v] = 1;
    for (const int& u : g[v]) {
        if (u != p && level[u] == -1) {
            dfsSz(u, v);
            sz[v] += sz[u];
        }
    }
    toutList.emplace_back(v);
}
 
void dfsCalc(int v, int p, int j) {
    int i = 0;
    for (const int& u : g[v]) {
        if (u != p && level[u] == -1) {
            dist[u][j] = dist[v][j] + 1;
            mx[u][j] = max(mx[v][j], a[u]);
            centPar[u][j] = centPar[v][j];
            if (p != -1) {
                idxNxt[u][j] = idxNxt[v][j];
            } else {
                idxNxt[u][j] = i;
            }
            dfsCalc(u, v, j);
        }
        ++i;
    }
}
 
void findCentroid(int v, int j) {
    toutList.clear();
    dfsSz(v, -1);
    for (const int& c : toutList) {
        if (2 * sz[c] >= sz[v]) {
            v = c;
            break;
        }
    }
    // cerr << "j: " << j << ", v: " << v << '\n';
    level[v] = j;
    dist[v][j] = 0;
    mx[v][j] = a[v];
    centPar[v][j] = v;
    dfsCalc(v, -1, j);
    for (const int& u : g[v]) {
        if (level[u] == -1) {
            findCentroid(u, j + 1);
        }
    }
}
 
struct SegTree {
    int n, N;
    vector<long long> st;
    SegTree() {}
    SegTree(int _n) {
        n = _n;
        N = 1;
        while (N < n) {
            N <<= 1;
        }
        st.resize(2 * N, -inf);
    }
    void maxEq(int i, long long x) {
        int v = N + i;
        st[v] = max(st[v], x);
        v >>= 1;
        while (v > 0) {
            st[v] = max(st[2 * v], st[2 * v + 1]);
            v >>= 1;
        }
    }
    long long getMax(int l, int r) {
        int vl = N + l, vr = N + r;
        long long res = -inf;
        while (vl < vr) {
            if (vl & 1) {
                res = max(res, st[vl]);
            }
            if ((vr ^ 1) & 1) {
                res = max(res, st[vr]);
            }
            vl = (vl + 1) >> 1;
            vr = (vr - 1) >> 1;
        }
        if (vl == vr) {
            res = max(res, st[vl]);
        }
        return res;
    }
    ~SegTree() {}
};
 
SegTree st[maxn];
 
void solve() {
    int n;
    cin >> n;
    vector<int> posOf(n);
    for (int i = 0; i < n; ++i) {
        cin >> a[i];
        --a[i];
        posOf[a[i]] = i;
        level[i] = -1;
    }
    for (int i = 0; i < n - 1; ++i) {
        int v, u;
        cin >> v >> u;
        --v, --u;
        g[v].emplace_back(u);
        g[u].emplace_back(v);
    }
    for (int v = 0; v < n; ++v) {
        st[v] = SegTree(g[v].size());
    }
    findCentroid(0, 0);
    vector<long long> dp(n);
    set<tuple<int, int, int>> s;
    for (int i = 0; i < n; ++i) {
        while (!s.empty() && get<0>(*s.begin()) <= i) {
            int v = get<1>(*s.begin()), j = get<2>(*s.begin());
            s.erase(s.begin());
            st[centPar[v][j]].maxEq(idxNxt[v][j], dp[a[v]] + dist[v][j]);
        }
        int v = posOf[i];
        for (int j = level[v]; j >= 0; --j) {
            if (mx[v][j] <= i) {
                int u = centPar[v][j];
                long long val;
                if (j < level[v]) {
                    val = max(st[u].getMax(0, idxNxt[v][j] - 1), st[u].getMax(idxNxt[v][j] + 1, (int)g[u].size() - 1));
                    val = max(val, dp[a[u]]);
                } else {
                    val = max(val, st[u].getMax(0, (int)g[u].size() - 1));
                }
                dp[i] = max(dp[i], val + dist[v][j]);
            }
        }
        // cerr << "i: " << i << ", dp: " << dp[i] << '\n';
        for (int j = level[v] - 1; j >= 0; --j) {
            s.emplace(mx[v][j], v, j);
        }
    }
    cout << dp[n - 1] << '\n';
}
 
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    int T = 1;
    cin >> T;
    while (T--) {
        solve();
        cerr << "-----------\n";
        cout << "-----------\n";
    }
#else
    int T = 1;
    // cin >> T;
    while (T--) {
        solve();
    }
#endif
 
    return 0;
}

Compilation message

Main.cpp: In function 'void solve()':
Main.cpp:142:27: warning: 'val' may be used uninitialized in this function [-Wmaybe-uninitialized]
  142 |                 long long val;
      |                           ^~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20056 KB Output is correct
2 Correct 4 ms 20060 KB Output is correct
3 Correct 4 ms 20040 KB Output is correct
4 Correct 4 ms 20060 KB Output is correct
5 Correct 4 ms 20060 KB Output is correct
6 Correct 4 ms 20060 KB Output is correct
7 Correct 4 ms 20060 KB Output is correct
8 Correct 4 ms 20060 KB Output is correct
9 Correct 4 ms 20060 KB Output is correct
10 Correct 4 ms 20044 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20056 KB Output is correct
2 Correct 4 ms 20060 KB Output is correct
3 Correct 4 ms 20040 KB Output is correct
4 Correct 4 ms 20060 KB Output is correct
5 Correct 4 ms 20060 KB Output is correct
6 Correct 4 ms 20060 KB Output is correct
7 Correct 4 ms 20060 KB Output is correct
8 Correct 4 ms 20060 KB Output is correct
9 Correct 4 ms 20060 KB Output is correct
10 Correct 4 ms 20044 KB Output is correct
11 Correct 5 ms 20060 KB Output is correct
12 Correct 5 ms 20060 KB Output is correct
13 Correct 5 ms 20056 KB Output is correct
14 Correct 4 ms 20060 KB Output is correct
15 Correct 5 ms 20060 KB Output is correct
16 Correct 5 ms 20060 KB Output is correct
17 Correct 5 ms 20060 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20056 KB Output is correct
2 Correct 4 ms 20060 KB Output is correct
3 Correct 4 ms 20040 KB Output is correct
4 Correct 4 ms 20060 KB Output is correct
5 Correct 4 ms 20060 KB Output is correct
6 Correct 4 ms 20060 KB Output is correct
7 Correct 4 ms 20060 KB Output is correct
8 Correct 4 ms 20060 KB Output is correct
9 Correct 4 ms 20060 KB Output is correct
10 Correct 4 ms 20044 KB Output is correct
11 Correct 5 ms 20060 KB Output is correct
12 Correct 5 ms 20060 KB Output is correct
13 Correct 5 ms 20056 KB Output is correct
14 Correct 4 ms 20060 KB Output is correct
15 Correct 5 ms 20060 KB Output is correct
16 Correct 5 ms 20060 KB Output is correct
17 Correct 5 ms 20060 KB Output is correct
18 Correct 15 ms 25188 KB Output is correct
19 Correct 14 ms 25436 KB Output is correct
20 Correct 15 ms 25688 KB Output is correct
21 Correct 20 ms 27228 KB Output is correct
22 Correct 20 ms 27124 KB Output is correct
23 Correct 21 ms 27236 KB Output is correct
24 Correct 24 ms 27228 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20056 KB Output is correct
2 Correct 4 ms 20060 KB Output is correct
3 Correct 4 ms 20040 KB Output is correct
4 Correct 4 ms 20060 KB Output is correct
5 Correct 4 ms 20060 KB Output is correct
6 Correct 4 ms 20060 KB Output is correct
7 Correct 4 ms 20060 KB Output is correct
8 Correct 4 ms 20060 KB Output is correct
9 Correct 4 ms 20060 KB Output is correct
10 Correct 4 ms 20044 KB Output is correct
11 Correct 5 ms 20060 KB Output is correct
12 Correct 5 ms 20060 KB Output is correct
13 Correct 5 ms 20056 KB Output is correct
14 Correct 4 ms 20060 KB Output is correct
15 Correct 5 ms 20060 KB Output is correct
16 Correct 5 ms 20060 KB Output is correct
17 Correct 5 ms 20060 KB Output is correct
18 Correct 15 ms 25188 KB Output is correct
19 Correct 14 ms 25436 KB Output is correct
20 Correct 15 ms 25688 KB Output is correct
21 Correct 20 ms 27228 KB Output is correct
22 Correct 20 ms 27124 KB Output is correct
23 Correct 21 ms 27236 KB Output is correct
24 Correct 24 ms 27228 KB Output is correct
25 Correct 4 ms 20312 KB Output is correct
26 Correct 16 ms 25412 KB Output is correct
27 Correct 17 ms 25436 KB Output is correct
28 Correct 17 ms 25436 KB Output is correct
29 Correct 16 ms 25436 KB Output is correct
30 Correct 18 ms 25948 KB Output is correct
31 Correct 17 ms 25944 KB Output is correct
32 Correct 19 ms 26040 KB Output is correct
33 Correct 17 ms 25948 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20056 KB Output is correct
2 Correct 4 ms 20060 KB Output is correct
3 Correct 4 ms 20040 KB Output is correct
4 Correct 4 ms 20060 KB Output is correct
5 Correct 4 ms 20060 KB Output is correct
6 Correct 4 ms 20060 KB Output is correct
7 Correct 4 ms 20060 KB Output is correct
8 Correct 4 ms 20060 KB Output is correct
9 Correct 4 ms 20060 KB Output is correct
10 Correct 4 ms 20044 KB Output is correct
11 Correct 5 ms 20060 KB Output is correct
12 Correct 5 ms 20060 KB Output is correct
13 Correct 5 ms 20056 KB Output is correct
14 Correct 4 ms 20060 KB Output is correct
15 Correct 5 ms 20060 KB Output is correct
16 Correct 5 ms 20060 KB Output is correct
17 Correct 5 ms 20060 KB Output is correct
18 Correct 15 ms 25188 KB Output is correct
19 Correct 14 ms 25436 KB Output is correct
20 Correct 15 ms 25688 KB Output is correct
21 Correct 20 ms 27228 KB Output is correct
22 Correct 20 ms 27124 KB Output is correct
23 Correct 21 ms 27236 KB Output is correct
24 Correct 24 ms 27228 KB Output is correct
25 Correct 623 ms 110820 KB Output is correct
26 Correct 629 ms 124936 KB Output is correct
27 Correct 634 ms 124868 KB Output is correct
28 Execution timed out 2066 ms 250824 KB Time limit exceeded
29 Halted 0 ms 0 KB -

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20060 KB Output is correct
2 Correct 6 ms 20312 KB Output is correct
3 Correct 1402 ms 201904 KB Output is correct
4 Correct 1327 ms 201048 KB Output is correct
5 Correct 1394 ms 201000 KB Output is correct

Subtask #7
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 20056 KB Output is correct
2 Correct 4 ms 20060 KB Output is correct
3 Correct 4 ms 20040 KB Output is correct
4 Correct 4 ms 20060 KB Output is correct
5 Correct 4 ms 20060 KB Output is correct
6 Correct 4 ms 20060 KB Output is correct
7 Correct 4 ms 20060 KB Output is correct
8 Correct 4 ms 20060 KB Output is correct
9 Correct 4 ms 20060 KB Output is correct
10 Correct 4 ms 20044 KB Output is correct
11 Correct 5 ms 20060 KB Output is correct
12 Correct 5 ms 20060 KB Output is correct
13 Correct 5 ms 20056 KB Output is correct
14 Correct 4 ms 20060 KB Output is correct
15 Correct 5 ms 20060 KB Output is correct
16 Correct 5 ms 20060 KB Output is correct
17 Correct 5 ms 20060 KB Output is correct
18 Correct 15 ms 25188 KB Output is correct
19 Correct 14 ms 25436 KB Output is correct
20 Correct 15 ms 25688 KB Output is correct
21 Correct 20 ms 27228 KB Output is correct
22 Correct 20 ms 27124 KB Output is correct
23 Correct 21 ms 27236 KB Output is correct
24 Correct 24 ms 27228 KB Output is correct
25 Correct 4 ms 20312 KB Output is correct
26 Correct 16 ms 25412 KB Output is correct
27 Correct 17 ms 25436 KB Output is correct
28 Correct 17 ms 25436 KB Output is correct
29 Correct 16 ms 25436 KB Output is correct
30 Correct 18 ms 25948 KB Output is correct
31 Correct 17 ms 25944 KB Output is correct
32 Correct 19 ms 26040 KB Output is correct
33 Correct 17 ms 25948 KB Output is correct
34 Correct 623 ms 110820 KB Output is correct
35 Correct 629 ms 124936 KB Output is correct
36 Correct 634 ms 124868 KB Output is correct
37 Execution timed out 2066 ms 250824 KB Time limit exceeded
38 Halted 0 ms 0 KB -