Submission #1104241

# Submission time Handle Problem Language Result Execution time Memory
1104241 2024-10-23T09:49:16 Z manhlinh1501 Exam (eJOI20_exam) C++17
100 / 100
114 ms 103152 KB
#include<bits/stdc++.h>
using namespace std;
using i64 = long long;
const int MAXN = 2e5 + 5;
#define left ___left
#define right ___right
#define ALL(a) (a).begin(), (a).end()

using pii = pair<int, int>;
int N;
int a[MAXN];
int b[MAXN];
int left[MAXN];
int right[MAXN];

void compress() {
    map<int, int> comp;
    for(int i = 1; i <= N; i++) comp[a[i]] = 1;
    for(int i = 1; i <= N; i++) comp[b[i]] = 1;
    int c = 0;
    for(auto &[x, y] : comp) y = ++c;
    for(int i = 1; i <= N; i++) a[i] = comp[a[i]];
    for(int i = 1; i <= N; i++) b[i] = comp[b[i]];
}

namespace subtask2 {
    bool is_subtask() {
        for(int i = 1; i < N; i++) {
            if(b[i] != b[i + 1]) return false;
        }
        return true;
    }
    int cnt[MAXN];

    void solution() {
        if(is_subtask() == false) return;
        for(int i = 1; i <= N; i++) {
            if(a[i] == b[i]) {
                cnt[left[i]]++;
                cnt[right[i] + 1]--;
            }
        }
        for(int i = 1; i <= N; i++) cnt[i] += cnt[i - 1];
        int ans = 0;
        for(int i = 1; i <= N; i++) ans += (cnt[i] > 0);
        cout << ans;
        exit(0);
    }
}

namespace subtask3 {
    const int MAXN = 5e3 + 5;
    bool is_subtask() {
        return is_sorted(a + 1, a + N + 1);
    }
    int dp[MAXN][MAXN];

    void solution() {
        if(is_subtask() == false) return;
        for(int i = 1; i <= N; i++) {
            for(int j = 1; j <= i; j++) {
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
                if(a[i] == b[j])
                    dp[i][j] = max(dp[i][j], max(dp[i - 1][j - 1], dp[i][j - 1]) + 1);
            }
        }
        int ans = 0;
        for(int i = 1; i <= N; i++) {
            for(int j = 1; j <= i; j++)
                ans = max(ans, dp[i][j]);
        }
        cout << ans;
        exit(0);
    }
}

namespace subtask4 {
    bool is_subtask() {
        vector<int> b;
        for(int i = 1; i <= N; i++) b.emplace_back(a[i]);
        sort(ALL(b));
        for(int i = 1; i < N; i++) {
            if(b[i] == b[i - 1]) return false;
        }
        return true;
    }

    namespace ST {
        int N;
        int tree[MAXN * 4];

        void init(int _N) {
            N = _N;
        }

        void update(int p, int x) {
            int id = 1, l = 1, r = N;
            while(l < r) {
                int m = (l + r) / 2;
                if(p <= m) {
                    id = id * 2;
                    r = m;
                } else {
                    id = id * 2  + 1;
                    l = m + 1;
                }
            }
            tree[id] = x;
            while(id >= 1) {
                id >>= 1;
                tree[id] = max(tree[id * 2], tree[id * 2 + 1]);
            }
        }

        int get(int id, int l, int r, int u, int v) {
            if(r < u or l > v) return 0;
            if(u <= l and r <= v) return tree[id];
            int m = (l + r) / 2;
            return max(get(id * 2, l, m, u, v), get(id * 2 + 1, m + 1, r, u, v));
        }

        int get(int l, int r) {
            return get(1, 1, N, l, r);
        }
    }
    int pos[MAXN];

    void solution() {
        if(is_subtask() == false) return;
        ST::init(N);
        for(int i = 1; i <= N; i++) pos[a[i]] = i;
        for(int i = 1; i <= N; i++) {
            int p = pos[b[i]];
            if(p == 0) continue;
            if(left[p] <= i and i <= right[p])
                ST::update(p, ST::get(1, p) + 1);
        }
        cout << ST::tree[1];
        exit(0);
    }
}

namespace subtask6 {
    const int MAXN = 5e3 + 5;

    int dp[MAXN][MAXN];

    bool is_subtask() {
        return N < MAXN;
    }

    void solution() {
        if(is_subtask() == false) return;
        for(int i = 1; i <= N; i++) {
            for(int j = 1; j <= N; j++) {
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
                if(a[i] == b[j] and left[i] <= j and j <= right[i])
                    dp[i][j] = max(dp[i][j], max(dp[i - 1][j - 1], dp[i][j - 1]) + 1);
            }
        }
        int ans = 0;
        for(int i = 1; i <= N; i++) {
            for(int j = 1; j <= N; j++)
                ans = max(ans, dp[i][j]);
        }
        cout << ans;
        exit(0);
    }
}

signed main() {
#define task "code"
    if(fopen(task".inp", "r")) {
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin >> N;
    for(int i = 1; i <= N; i++) cin >> a[i];
    for(int i = 1; i <= N; i++) cin >> b[i];
    compress();
    for(int i = 1; i <= N; i++) {
        left[i] = i - 1;
        while(left[i] > 0 and a[left[i]] <= a[i])
            left[i] = left[left[i]];
    }
    for(int i = N; i >= 1; i--) {
        right[i] = i + 1;
        while(right[i] <= N and a[right[i]] <= a[i])
            right[i] = right[right[i]];
    }
    for(int i = 1; i <= N; i++) {
        left[i]++;
        right[i]--;
    }
    subtask2::solution();
    subtask3::solution();
    subtask6::solution();
    subtask4::solution();
    return (0 ^ 0);
}

Compilation message

exam.cpp: In function 'int main()':
exam.cpp:174:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  174 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
exam.cpp:175:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  175 |         freopen(task".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4600 KB Output is correct
2 Correct 5 ms 4432 KB Output is correct
3 Correct 33 ms 8752 KB Output is correct
4 Correct 12 ms 4688 KB Output is correct
5 Correct 68 ms 9288 KB Output is correct
6 Correct 12 ms 4688 KB Output is correct
7 Correct 16 ms 4688 KB Output is correct
8 Correct 57 ms 7492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 4 ms 6992 KB Output is correct
3 Correct 14 ms 25936 KB Output is correct
4 Correct 49 ms 77652 KB Output is correct
5 Correct 50 ms 79824 KB Output is correct
6 Correct 50 ms 79688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 56 ms 102728 KB Output is correct
2 Correct 38 ms 10536 KB Output is correct
3 Correct 104 ms 13640 KB Output is correct
4 Correct 106 ms 13896 KB Output is correct
5 Correct 96 ms 14408 KB Output is correct
6 Correct 97 ms 14408 KB Output is correct
7 Correct 94 ms 14564 KB Output is correct
8 Correct 103 ms 14152 KB Output is correct
9 Correct 114 ms 14436 KB Output is correct
10 Correct 64 ms 14420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 4688 KB Output is correct
9 Correct 1 ms 4944 KB Output is correct
10 Correct 2 ms 5456 KB Output is correct
11 Correct 2 ms 5456 KB Output is correct
12 Correct 2 ms 5628 KB Output is correct
13 Correct 2 ms 5456 KB Output is correct
14 Correct 2 ms 5456 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 4 ms 6992 KB Output is correct
9 Correct 14 ms 25936 KB Output is correct
10 Correct 49 ms 77652 KB Output is correct
11 Correct 50 ms 79824 KB Output is correct
12 Correct 50 ms 79688 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4688 KB Output is correct
15 Correct 1 ms 4944 KB Output is correct
16 Correct 2 ms 5456 KB Output is correct
17 Correct 2 ms 5456 KB Output is correct
18 Correct 2 ms 5628 KB Output is correct
19 Correct 2 ms 5456 KB Output is correct
20 Correct 2 ms 5456 KB Output is correct
21 Correct 2 ms 5456 KB Output is correct
22 Correct 8 ms 12368 KB Output is correct
23 Correct 2 ms 4600 KB Output is correct
24 Correct 80 ms 102984 KB Output is correct
25 Correct 56 ms 103152 KB Output is correct
26 Correct 51 ms 102356 KB Output is correct
27 Correct 60 ms 102480 KB Output is correct
28 Correct 70 ms 102472 KB Output is correct
29 Correct 59 ms 79684 KB Output is correct
30 Correct 82 ms 102472 KB Output is correct
31 Correct 83 ms 102468 KB Output is correct
32 Correct 74 ms 102472 KB Output is correct