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Submission #947375

# Submission time Handle Problem Language Result Execution time Memory
947375 2024-03-16T04:22:38 Z SirCovidThe19th Feast (NOI19_feast) C++17
100 / 100
 212 ms 11092 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
 
const ll INF = (ll)300000 * 1000000000;
 
int main(){
    int n, k;
    cin >> n >> k;
 
    int a[n + 1];
    for (int i = 1; i <= n; i++) cin >> a[i];
 
    auto solveLambda = [&](ll lmb){
        pair<ll, ll> dp[n + 1][2];
 
        dp[0][0] = {0, 0}; 
        dp[0][1] = {-INF, 0};
    
        for (int i = 1; i <= n; i++){
            dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
 
            dp[i][1] = max(
                make_pair(dp[i - 1][0].first + a[i] - lmb, dp[i - 1][0].second + 1), 
                make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second)
            );
        }
        return max(dp[n][0], dp[n][1]);
    };
    
    ll lo = 0, hi = INT64_MAX;
 
    while (lo < hi){
        ll mid = (lo + hi) / 2;
        solveLambda(mid).second <= k ? hi = mid : lo = mid + 1;
    }    
    cout << solveLambda(lo).first + lo * k << endl;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 10496 KB Output is correct
2 Correct 157 ms 10848 KB Output is correct
3 Correct 150 ms 10836 KB Output is correct
4 Correct 147 ms 10832 KB Output is correct
5 Correct 150 ms 10836 KB Output is correct
6 Correct 171 ms 10580 KB Output is correct
7 Correct 144 ms 10512 KB Output is correct
8 Correct 149 ms 10832 KB Output is correct
9 Correct 157 ms 10580 KB Output is correct
10 Correct 145 ms 10780 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 10580 KB Output is correct
2 Correct 112 ms 10784 KB Output is correct
3 Correct 123 ms 10508 KB Output is correct
4 Correct 110 ms 10792 KB Output is correct
5 Correct 159 ms 10580 KB Output is correct
6 Correct 110 ms 10580 KB Output is correct
7 Correct 120 ms 10808 KB Output is correct
8 Correct 150 ms 10784 KB Output is correct
9 Correct 145 ms 10516 KB Output is correct
10 Correct 118 ms 10888 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 171 ms 10848 KB Output is correct
2 Correct 167 ms 10584 KB Output is correct
3 Correct 170 ms 10820 KB Output is correct
4 Correct 173 ms 10528 KB Output is correct
5 Correct 167 ms 10580 KB Output is correct
6 Correct 168 ms 10832 KB Output is correct
7 Correct 182 ms 10784 KB Output is correct
8 Correct 168 ms 10576 KB Output is correct
9 Correct 172 ms 10836 KB Output is correct
10 Correct 178 ms 11092 KB Output is correct

Subtask #4
10.0 / 10.0

# 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 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

Subtask #5
11.0 / 11.0

# 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# 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 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 348 KB Output is correct
22 Correct 1 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 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 2 ms 436 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 10496 KB Output is correct
2 Correct 157 ms 10848 KB Output is correct
3 Correct 150 ms 10836 KB Output is correct
4 Correct 147 ms 10832 KB Output is correct
5 Correct 150 ms 10836 KB Output is correct
6 Correct 171 ms 10580 KB Output is correct
7 Correct 144 ms 10512 KB Output is correct
8 Correct 149 ms 10832 KB Output is correct
9 Correct 157 ms 10580 KB Output is correct
10 Correct 145 ms 10780 KB Output is correct
11 Correct 108 ms 10580 KB Output is correct
12 Correct 112 ms 10784 KB Output is correct
13 Correct 123 ms 10508 KB Output is correct
14 Correct 110 ms 10792 KB Output is correct
15 Correct 159 ms 10580 KB Output is correct
16 Correct 110 ms 10580 KB Output is correct
17 Correct 120 ms 10808 KB Output is correct
18 Correct 150 ms 10784 KB Output is correct
19 Correct 145 ms 10516 KB Output is correct
20 Correct 118 ms 10888 KB Output is correct
21 Correct 171 ms 10848 KB Output is correct
22 Correct 167 ms 10584 KB Output is correct
23 Correct 170 ms 10820 KB Output is correct
24 Correct 173 ms 10528 KB Output is correct
25 Correct 167 ms 10580 KB Output is correct
26 Correct 168 ms 10832 KB Output is correct
27 Correct 182 ms 10784 KB Output is correct
28 Correct 168 ms 10576 KB Output is correct
29 Correct 172 ms 10836 KB Output is correct
30 Correct 178 ms 11092 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 2 ms 348 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 2 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 2 ms 436 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 204 ms 10580 KB Output is correct
62 Correct 205 ms 10796 KB Output is correct
63 Correct 185 ms 10832 KB Output is correct
64 Correct 210 ms 10836 KB Output is correct
65 Correct 206 ms 10796 KB Output is correct
66 Correct 212 ms 10844 KB Output is correct
67 Correct 203 ms 10692 KB Output is correct
68 Correct 175 ms 10836 KB Output is correct
69 Correct 170 ms 10684 KB Output is correct
70 Correct 169 ms 10592 KB Output is correct