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Submission #947366

# Submission time Handle Problem Language Result Execution time Memory
947366 2024-03-16T03:44:54 Z SirCovidThe19th Feast (NOI19_feast) C++17
100 / 100
 192 ms 11168 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long

const int MAX = 300000;
const ll INF = (ll)300000 * 1000000000;

int n, k, A[MAX + 1]; 
pair<ll, ll> dp[MAX + 1][2];
 
pair<ll, ll> solveLambda(ll lmb){
    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]);
}

int main(){
    cin >> n >> k;

    for (int i = 1; i <= n; i++) cin >> A[i];

    ll lo = 0, hi = INF;

    while (lo < hi){
        ll M = (lo + hi) / 2;
        solveLambda(M).second <= k ? hi = M : lo = M + 1;
    }    
    cout << solveLambda(lo).first + lo * k << endl;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 121 ms 10836 KB Output is correct
2 Correct 120 ms 10924 KB Output is correct
3 Correct 120 ms 10932 KB Output is correct
4 Correct 120 ms 10836 KB Output is correct
5 Correct 123 ms 10832 KB Output is correct
6 Correct 120 ms 10832 KB Output is correct
7 Correct 117 ms 10916 KB Output is correct
8 Correct 127 ms 10968 KB Output is correct
9 Correct 118 ms 10936 KB Output is correct
10 Correct 119 ms 10928 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 10832 KB Output is correct
2 Correct 82 ms 10832 KB Output is correct
3 Correct 89 ms 10932 KB Output is correct
4 Correct 84 ms 10828 KB Output is correct
5 Correct 118 ms 10948 KB Output is correct
6 Correct 85 ms 10916 KB Output is correct
7 Correct 84 ms 10984 KB Output is correct
8 Correct 120 ms 10832 KB Output is correct
9 Correct 119 ms 11092 KB Output is correct
10 Correct 90 ms 10932 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 151 ms 10968 KB Output is correct
2 Correct 138 ms 10912 KB Output is correct
3 Correct 142 ms 10956 KB Output is correct
4 Correct 139 ms 10932 KB Output is correct
5 Correct 138 ms 10832 KB Output is correct
6 Correct 162 ms 10836 KB Output is correct
7 Correct 141 ms 10832 KB Output is correct
8 Correct 137 ms 10960 KB Output is correct
9 Correct 140 ms 10916 KB Output is correct
10 Correct 142 ms 10836 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2484 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2484 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2492 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2484 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2492 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2396 KB Output is correct
22 Correct 2 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 2 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 121 ms 10836 KB Output is correct
2 Correct 120 ms 10924 KB Output is correct
3 Correct 120 ms 10932 KB Output is correct
4 Correct 120 ms 10836 KB Output is correct
5 Correct 123 ms 10832 KB Output is correct
6 Correct 120 ms 10832 KB Output is correct
7 Correct 117 ms 10916 KB Output is correct
8 Correct 127 ms 10968 KB Output is correct
9 Correct 118 ms 10936 KB Output is correct
10 Correct 119 ms 10928 KB Output is correct
11 Correct 84 ms 10832 KB Output is correct
12 Correct 82 ms 10832 KB Output is correct
13 Correct 89 ms 10932 KB Output is correct
14 Correct 84 ms 10828 KB Output is correct
15 Correct 118 ms 10948 KB Output is correct
16 Correct 85 ms 10916 KB Output is correct
17 Correct 84 ms 10984 KB Output is correct
18 Correct 120 ms 10832 KB Output is correct
19 Correct 119 ms 11092 KB Output is correct
20 Correct 90 ms 10932 KB Output is correct
21 Correct 151 ms 10968 KB Output is correct
22 Correct 138 ms 10912 KB Output is correct
23 Correct 142 ms 10956 KB Output is correct
24 Correct 139 ms 10932 KB Output is correct
25 Correct 138 ms 10832 KB Output is correct
26 Correct 162 ms 10836 KB Output is correct
27 Correct 141 ms 10832 KB Output is correct
28 Correct 137 ms 10960 KB Output is correct
29 Correct 140 ms 10916 KB Output is correct
30 Correct 142 ms 10836 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2484 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2492 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct
51 Correct 2 ms 2396 KB Output is correct
52 Correct 2 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 2 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 2 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 170 ms 10956 KB Output is correct
62 Correct 192 ms 11168 KB Output is correct
63 Correct 149 ms 10944 KB Output is correct
64 Correct 179 ms 10968 KB Output is correct
65 Correct 176 ms 10832 KB Output is correct
66 Correct 174 ms 10832 KB Output is correct
67 Correct 172 ms 10952 KB Output is correct
68 Correct 142 ms 10916 KB Output is correct
69 Correct 137 ms 10924 KB Output is correct
70 Correct 143 ms 10832 KB Output is correct