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Submission #951973

# Submission time Handle Problem Language Result Execution time Memory
951973 2024-03-23T03:01:48 Z SirCovidThe19th Feast (NOI19_feast) C++17
100 / 100
 226 ms 13992 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long

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

    int a[n];
    for (int &i : a) cin >> i;

    auto solveLambda = [&](ll lmb){
        pair<ll, ll> dp[n][2];

        dp[0][0] = {0, 0}; 
        dp[0][1] = {a[0] - lmb, 1};
    
        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 - 1][0], dp[n - 1][1]);
    };
    
    ll lo = 0, hi = 1e18;

    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 10516 KB Output is correct
2 Correct 149 ms 10836 KB Output is correct
3 Correct 149 ms 10808 KB Output is correct
4 Correct 150 ms 10784 KB Output is correct
5 Correct 150 ms 10772 KB Output is correct
6 Correct 150 ms 10720 KB Output is correct
7 Correct 150 ms 10520 KB Output is correct
8 Correct 169 ms 10832 KB Output is correct
9 Correct 145 ms 10524 KB Output is correct
10 Correct 150 ms 10776 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 10708 KB Output is correct
2 Correct 108 ms 12088 KB Output is correct
3 Correct 115 ms 11704 KB Output is correct
4 Correct 113 ms 11668 KB Output is correct
5 Correct 150 ms 13300 KB Output is correct
6 Correct 111 ms 11804 KB Output is correct
7 Correct 119 ms 12108 KB Output is correct
8 Correct 160 ms 13728 KB Output is correct
9 Correct 151 ms 13312 KB Output is correct
10 Correct 114 ms 12024 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 184 ms 10856 KB Output is correct
2 Correct 180 ms 10508 KB Output is correct
3 Correct 174 ms 10576 KB Output is correct
4 Correct 184 ms 10836 KB Output is correct
5 Correct 175 ms 10788 KB Output is correct
6 Correct 173 ms 10796 KB Output is correct
7 Correct 180 ms 10800 KB Output is correct
8 Correct 180 ms 10820 KB Output is correct
9 Correct 177 ms 10812 KB Output is correct
10 Correct 183 ms 10808 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 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 348 KB Output is correct
8 Correct 0 ms 356 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 600 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 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 348 KB Output is correct
8 Correct 0 ms 356 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 600 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 440 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 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 1 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 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 348 KB Output is correct
8 Correct 0 ms 356 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 600 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 440 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 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 1 ms 348 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 2 ms 348 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 2 ms 596 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 452 KB Output is correct
29 Correct 2 ms 348 KB Output is correct
30 Correct 2 ms 344 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 10516 KB Output is correct
2 Correct 149 ms 10836 KB Output is correct
3 Correct 149 ms 10808 KB Output is correct
4 Correct 150 ms 10784 KB Output is correct
5 Correct 150 ms 10772 KB Output is correct
6 Correct 150 ms 10720 KB Output is correct
7 Correct 150 ms 10520 KB Output is correct
8 Correct 169 ms 10832 KB Output is correct
9 Correct 145 ms 10524 KB Output is correct
10 Correct 150 ms 10776 KB Output is correct
11 Correct 114 ms 10708 KB Output is correct
12 Correct 108 ms 12088 KB Output is correct
13 Correct 115 ms 11704 KB Output is correct
14 Correct 113 ms 11668 KB Output is correct
15 Correct 150 ms 13300 KB Output is correct
16 Correct 111 ms 11804 KB Output is correct
17 Correct 119 ms 12108 KB Output is correct
18 Correct 160 ms 13728 KB Output is correct
19 Correct 151 ms 13312 KB Output is correct
20 Correct 114 ms 12024 KB Output is correct
21 Correct 184 ms 10856 KB Output is correct
22 Correct 180 ms 10508 KB Output is correct
23 Correct 174 ms 10576 KB Output is correct
24 Correct 184 ms 10836 KB Output is correct
25 Correct 175 ms 10788 KB Output is correct
26 Correct 173 ms 10796 KB Output is correct
27 Correct 180 ms 10800 KB Output is correct
28 Correct 180 ms 10820 KB Output is correct
29 Correct 177 ms 10812 KB Output is correct
30 Correct 183 ms 10808 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 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 348 KB Output is correct
38 Correct 0 ms 356 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 600 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 440 KB Output is correct
44 Correct 1 ms 344 KB Output is correct
45 Correct 1 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 1 ms 348 KB Output is correct
52 Correct 2 ms 348 KB Output is correct
53 Correct 2 ms 348 KB Output is correct
54 Correct 2 ms 348 KB Output is correct
55 Correct 2 ms 596 KB Output is correct
56 Correct 2 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 2 ms 452 KB Output is correct
59 Correct 2 ms 348 KB Output is correct
60 Correct 2 ms 344 KB Output is correct
61 Correct 205 ms 13684 KB Output is correct
62 Correct 215 ms 13992 KB Output is correct
63 Correct 199 ms 13648 KB Output is correct
64 Correct 210 ms 13716 KB Output is correct
65 Correct 212 ms 13908 KB Output is correct
66 Correct 226 ms 13968 KB Output is correct
67 Correct 210 ms 13660 KB Output is correct
68 Correct 175 ms 13928 KB Output is correct
69 Correct 178 ms 13428 KB Output is correct
70 Correct 168 ms 13448 KB Output is correct