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Submission #892423

# Submission time Handle Problem Language Result Execution time Memory
892423 2023-12-25T10:34:12 Z MinaRagy06 Rabbit Carrot (LMIO19_triusis) C++17
35 / 100
 4 ms 860 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("trapv")
using namespace std;

const int N = 200'005;
struct bit {
    int tree[N], n;
    void init(int _n) {
        n = _n;
        for (int i = 0; i < n; i++) {
            tree[i] = 2e9;
        }
    }
    void upd(int x, int v) {
        for (int i = x; i < n; i = (i | (i + 1))) {
            tree[i] = min(tree[i], v);
        }
    }
    int query(int r) {
        int ans = 2e9;
        if (r < 0) {
            return ans;
        }
        for (int i = r; i >= 0; i = (i & (i + 1)) - 1) {
            ans = min(ans, tree[i]);
        }
        return ans;
    }
} bit1, bit2;
int main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    int n, m;
    cin >> n >> m;
    int a[n + 1];
    a[0] = 0;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    vector<int> vals1, vals2, v1, v2;
    for (int i = 0; i < n - 1; i++) {
        vals1.push_back(a[i + 1]);
        vals2.push_back(a[i + 1] - i * m);
    }
    sort(vals1.begin(), vals1.end());
    sort(vals2.begin(), vals2.end());
    for (int i = 0; i < vals1.size(); i++) {
        if (i == 0 || vals1[i] != vals1[i - 1]) {
            v1.push_back(vals1[i]);
        }
    }
    for (int i = 0; i < vals2.size(); i++) {
        if (i == 0 || vals2[i] != vals2[i - 1]) {
            v2.push_back(vals2[i]);
        }
    }
    n++;
    int dp[n + 1];
    dp[n - 1] = dp[n] = 0;
    bit1.init(v1.size());
    bit2.init(v2.size());
    for (int i = n - 2; i >= 0; i--) {
        dp[i] = dp[n] + n - 1;
        
        int idx = upper_bound(v1.begin(), v1.end(), a[i] + 2 * m) - v1.begin() - 1;
        dp[i] = min(dp[i], bit1.query(idx));
        idx = lower_bound(v1.begin(), v1.end(), a[i + 1]) - v1.begin();
        bit1.upd(idx, dp[i + 1] + i);
        
        idx = lower_bound(v2.begin(), v2.end(), a[i + 1] - i * m) - v2.begin();
        bit2.upd(idx, dp[i + 1] + i);
        idx = upper_bound(v2.begin(), v2.end(), a[i] - i * m + m) - v2.begin() - 1;
        dp[i] = min(dp[i], bit2.query(idx));
        // for (int j = i + 1; j < n - 1; j++) {
        //     if (a[j + 1] <= a[i] + 2 * m) {
        //         dp[i] = min(dp[i], dp[j + 1] + j);
        //     }
        // }
        // for (int j = i; j < n - 1; j++) {
        //     if (a[j + 1] - j * m <= a[i] - i * m + m) {
        //         dp[i] = min(dp[i], dp[j + 1] + j);
        //     }
        // }
        dp[i] -= i;
        if (a[i] >= a[i + 1] || a[i + 1] - a[i] <= m) {
            dp[i] = min(dp[i], dp[i + 1]);
        }
    }
    cout << dp[0] << '\n';
    return 0;
}

Compilation message

triusis.cpp: In function 'int main()':
triusis.cpp:46:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   46 |     for (int i = 0; i < vals1.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~
triusis.cpp:51:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |     for (int i = 0; i < vals2.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 3 ms 604 KB Output is correct
23 Correct 3 ms 604 KB Output is correct
24 Correct 3 ms 600 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 3 ms 604 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 2 ms 604 KB Output is correct
30 Correct 3 ms 604 KB Output is correct
31 Correct 2 ms 600 KB Output is correct
32 Correct 2 ms 604 KB Output is correct
33 Correct 2 ms 604 KB Output is correct

Subtask #3
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 3 ms 604 KB Output is correct
7 Correct 3 ms 604 KB Output is correct
8 Correct 3 ms 600 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 3 ms 604 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 2 ms 604 KB Output is correct
14 Correct 3 ms 604 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 2 ms 604 KB Output is correct
17 Correct 2 ms 604 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 4 ms 600 KB Output is correct
35 Correct 4 ms 604 KB Output is correct
36 Correct 4 ms 692 KB Output is correct
37 Correct 3 ms 604 KB Output is correct
38 Correct 2 ms 604 KB Output is correct
39 Correct 2 ms 604 KB Output is correct
40 Correct 2 ms 600 KB Output is correct
41 Incorrect 2 ms 604 KB Output isn't correct
42 Halted 0 ms 0 KB -

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 600 KB Output is correct
2 Correct 4 ms 604 KB Output is correct
3 Correct 4 ms 692 KB Output is correct
4 Correct 3 ms 604 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Incorrect 2 ms 604 KB Output isn't correct
9 Halted 0 ms 0 KB -