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Submission #895841

# Submission time Handle Problem Language Result Execution time Memory
895841 2023-12-30T22:18:00 Z tvladm2009 Exam (eJOI20_exam) C++17
65 / 100
 86 ms 123732 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
const int N = 5e3 + 7;
const int M = 1e5 + 7;
int a[N], b[N];
bool ok[N][N];
int dp[N][N];
int t[2 * M];
int n;

void build_tree() {
    for (int i = 0; i < n; ++i) t[i + n] = a[i];
    for (int i = n - 1; i > 0; --i) t[i] = max(t[2 * i], t[2 * i + 1]);
}

int get_max(int l, int r) {
    l += n, r += n;
    int res = 0;
    while (l < r) {
        if (l & 1) res = max(res, t[l++]);
        if (r & 1) res = max(res, t[--r]);
        l >>= 1, r >>= 1;
    }
    return res;
}

int find_lis(vector<int> arr) {
    vector<int> last;
    last.push_back(0);
    for (int x : arr) {
        if (last.back() <= x) {
            last.push_back(x);
        } else {
            int pos = upper_bound(last.begin(), last.end(), x) - last.begin() - 1;
            last[pos + 1] = x;
        }
    }
    return last.size() - 1;
}

void subtask3() {
    build_tree();
    map<int, int> where;
    for (int i = 0; i < n; ++i) where[a[i]] = i;
    vector<int> arr;
    for (int i = 0; i < n; ++i) {
        if (where.count(b[i])) {
            int pos = where[b[i]];
            int l = i, r = pos;
            if (l > r) swap(l, r);
            if (get_max(l, r + 1) <= b[i]) arr.push_back(pos);
        }
    }
    cout << find_lis(arr) << endl;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin >> n;
    for (int i = 0; i < n; i++) cin >> a[i];
    for (int i = 0; i < n; i++) cin >> b[i];
    
    vector<int> A;
    for (int i = 0; i < n; ++i) A.push_back(a[i]);
    sort(A.begin(), A.end());
    bool distinct = true;
    for (int i = 1; i < n; ++i) distinct &= A[i] != A[i - 1];
    if (distinct || n > 5e3) {
        subtask3();
        return 0;
    }
    
    for (int i = 0; i < n; i++) {
        ok[i][i] = true;
        for (int j = i - 1; j >= 0; j--) {
            if (a[j] > a[i]) break;
            ok[j][i] = true;
        }
        for (int j = i + 1; j < n; j++) {
            if (a[j] > a[i]) break;
            ok[j][i] = true;
        }
    }
    for (int i = 0; i < n; i++) {
        if (ok[0][i] && b[0] == a[i]) {
            dp[0][i] = 1;
        }
    }
    for (int i = 1; i < n; i++) {
        int mx = 0;
        for (int j = 0; j < n; j++) {
            mx = max(mx, dp[i - 1][j]);
            if (ok[i][j]) {
                dp[i][j] = mx;
                if (b[i] == a[j]) ++dp[i][j];
            }
        }
    }
    int ans = 0;
    for (int i = 0; i < n; i++) ans = max(ans, dp[n - 1][i]);
    cout << ans << endl;
    return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 348 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 25676 KB Output is correct
2 Runtime error 4 ms 860 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 4 ms 724 KB Output is correct
5 Correct 3 ms 604 KB Output is correct
6 Correct 3 ms 604 KB Output is correct

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 600 KB Output is correct
2 Runtime error 3 ms 600 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6748 KB Output is correct
11 Correct 1 ms 6744 KB Output is correct
12 Correct 1 ms 6748 KB Output is correct
13 Correct 2 ms 8540 KB Output is correct
14 Correct 1 ms 8540 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 0 ms 2396 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 344 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 4 ms 724 KB Output is correct
11 Correct 3 ms 604 KB Output is correct
12 Correct 3 ms 604 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6748 KB Output is correct
17 Correct 1 ms 6744 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 2 ms 8540 KB Output is correct
20 Correct 1 ms 8540 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 5 ms 25612 KB Output is correct
23 Correct 86 ms 123584 KB Output is correct
24 Correct 60 ms 123004 KB Output is correct
25 Correct 53 ms 123080 KB Output is correct
26 Correct 44 ms 122964 KB Output is correct
27 Correct 36 ms 123712 KB Output is correct
28 Correct 38 ms 122592 KB Output is correct
29 Correct 55 ms 123728 KB Output is correct
30 Correct 49 ms 123732 KB Output is correct
31 Correct 50 ms 123668 KB Output is correct
32 Correct 48 ms 123680 KB Output is correct