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Submission #465568

# Submission time Handle Problem Language Result Execution time Memory
465568 2021-08-16T11:19:29 Z Sench2006 Exam (eJOI20_exam) C++14
53 / 100
 183 ms 98204 KB 
#include <bits/stdc++.h>
#include <unordered_map>
using namespace std;

#define ll long long
#define ar array

#define fastio ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

// --------------- SOLUTION --------------- //

const int N = 1e5+5;
int n;
int a[N], b[N];
int t[4 * N];
int next_max[N], prev_max[N];
int dp[5001][5001];
map <int, int> mp;

void pre() {
    stack<int> s;
    for (int i = 1; i <= n; ++i) {
        while (!s.empty() && a[s.top()] <= a[i])
            s.pop();
        if (s.empty())
            next_max[i] = 0;
        else
            next_max[i] = s.top();
        s.push(i);
    }
    while (!s.empty())
        s.pop();
    for (int i = n; i >= 1; --i) {
        while (!s.empty() && a[s.top()] <= a[i])
            s.pop();
        if (s.empty())
            prev_max[i] = n + 1;
        else
            prev_max[i] = s.top();
        s.push(i);
    }
}

void ubd(int tl, int tr, int x, int y, int pos) {
    if (tl == tr) {
        t[pos] = y;
        return;
    }
    int m = (tl + tr) / 2;
    if (x <= m)
        ubd(tl, m, x, y, pos * 2);
    else
        ubd(m + 1, tr, x, y, pos * 2 + 1);
    t[pos] = max(t[pos * 2], t[pos * 2 + 1]);
}

int qry(int tl, int tr, int l, int r, int pos) {
    if (l > r)
        return 0;
    if (tl == l && tr == r)
        return t[pos];
    int m = (tl + tr) / 2;
    return max(qry(tl, m, l, min(m, r), pos * 2),
               qry(m + 1, tr, max(m + 1, l), r, pos * 2 + 1));

}

int segTreeSolve() {
    for (int i = 1; i <= n; ++i)
        mp[a[i]] = i;
 
    for (int i = 1; i <= n; ++i) {
        if (mp.find(b[i]) == mp.end()) continue;
        if (next_max[mp[b[i]]] < i && i < prev_max[mp[b[i]]]) ubd(1, n, mp[b[i]], qry(1, n, 1, mp[b[i]], 1) + 1, 1);
    }
    return t[1];
}

int less5000() {
    int ans = 0;
    for (int i = 1; i <= n; ++i) {
        for (int j = 1; j <= n; ++j) {
            if (a[i] == b[j] && next_max[i] < j && j < prev_max[i]) {
                dp[i][j + 1] = max(dp[i][j + 1], dp[i][j] + 1);
            }
            dp[i][j + 1] = max(dp[i][j + 1], dp[i][j]);
            dp[i + 1][j] = max(dp[i + 1][j], dp[i][j]);
        }
    }
    for (int i = 1; i <= n + 1; ++i)
        for (int j = 1; j <= n + 1; ++j)
            ans = max(ans, dp[i][j]);
    return ans;
}

void solve() { 
    cin >> n;
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    for(int i = 1; i <= n; i++) {
        cin >> b[i];
    }
    pre();
    if (n <= 5000) {
        cout << less5000() << "\n";
        return;
    }
    cout << segTreeSolve() << "\n";
}

int main() {
    fastio;
    // fileio;
    int tests = 1;
    // cin >> tests;
    while (tests--) {
        solve();
    }

    return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 8268 KB Output is correct
2 Correct 11 ms 588 KB Output is correct
3 Correct 63 ms 5912 KB Output is correct
4 Incorrect 17 ms 1868 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 4 ms 3276 KB Output is correct
3 Correct 35 ms 24004 KB Output is correct
4 Correct 173 ms 94296 KB Output is correct
5 Incorrect 183 ms 98204 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 588 KB Output is correct
2 Correct 39 ms 3032 KB Output is correct
3 Correct 100 ms 6768 KB Output is correct
4 Correct 107 ms 6800 KB Output is correct
5 Correct 175 ms 7620 KB Output is correct
6 Correct 157 ms 7492 KB Output is correct
7 Correct 149 ms 7492 KB Output is correct
8 Correct 101 ms 7184 KB Output is correct
9 Correct 137 ms 7492 KB Output is correct
10 Correct 108 ms 7496 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 716 KB Output is correct
10 Correct 1 ms 1228 KB Output is correct
11 Correct 1 ms 1228 KB Output is correct
12 Correct 2 ms 1228 KB Output is correct
13 Correct 1 ms 1228 KB Output is correct
14 Correct 1 ms 1228 KB Output is correct

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 4 ms 3276 KB Output is correct
9 Correct 35 ms 24004 KB Output is correct
10 Correct 173 ms 94296 KB Output is correct
11 Incorrect 183 ms 98204 KB Output isn't correct
12 Halted 0 ms 0 KB -