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Submission #1109998

# Submission time Handle Problem Language Result Execution time Memory
1109998 2024-11-08T11:59:21 Z NoMercy Feast (NOI19_feast) C++17
100 / 100
 156 ms 26852 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

int32_t main () {

    ios_base::sync_with_stdio(0); 
    cin.tie(0); 
    cout.tie(0); 

    int N, K;
    cin >> N >> K;
    vector<ll> arr(N + 1, 0);
    for (int i = 1;i <= N;i ++) cin >> arr[i];


    vector<vector<pair<ll, ll>>> dp(N + 1, {{0, 0}, {0, 0}});
    auto calculate = [&](ll mid) -> void {
        dp[1][0] = {0, 0};
        dp[1][1] = {arr[1] - mid, 1};
        for (int i = 2;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 + arr[i] - mid, dp[i - 1][0].second + 1), make_pair(dp[i - 1][1].first + arr[i], dp[i - 1][1].second));
        }
    };
    ll lo = 0, hi = 1e16 + 6789;
    while (lo + 1 < hi) {
        ll mid = (lo + hi) / 2LL;
        calculate (mid);
        if (max(dp[N][0], dp[N][1]).second < K) {
            hi = mid;
        } else {
            lo = mid;
        }
    }
    calculate (lo);
    cout << max(dp[N][0], dp[N][1]).first + lo * K << "\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 25796 KB Output is correct
2 Correct 90 ms 25408 KB Output is correct
3 Correct 92 ms 26184 KB Output is correct
4 Correct 97 ms 25028 KB Output is correct
5 Correct 89 ms 26348 KB Output is correct
6 Correct 88 ms 25928 KB Output is correct
7 Correct 90 ms 26016 KB Output is correct
8 Correct 85 ms 26324 KB Output is correct
9 Correct 87 ms 24648 KB Output is correct
10 Correct 91 ms 25300 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 24484 KB Output is correct
2 Correct 81 ms 24912 KB Output is correct
3 Correct 80 ms 24392 KB Output is correct
4 Correct 88 ms 24656 KB Output is correct
5 Correct 110 ms 26008 KB Output is correct
6 Correct 87 ms 24256 KB Output is correct
7 Correct 97 ms 24964 KB Output is correct
8 Correct 88 ms 26456 KB Output is correct
9 Correct 95 ms 25928 KB Output is correct
10 Correct 83 ms 24872 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 26448 KB Output is correct
2 Correct 113 ms 26184 KB Output is correct
3 Correct 127 ms 26552 KB Output is correct
4 Correct 115 ms 26184 KB Output is correct
5 Correct 122 ms 26440 KB Output is correct
6 Correct 124 ms 26624 KB Output is correct
7 Correct 115 ms 26720 KB Output is correct
8 Correct 117 ms 26440 KB Output is correct
9 Correct 126 ms 26756 KB Output is correct
10 Correct 118 ms 26696 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 ms 592 KB Output is correct
22 Correct 1 ms 592 KB Output is correct
23 Correct 1 ms 592 KB Output is correct
24 Correct 1 ms 592 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 2 ms 592 KB Output is correct
27 Correct 1 ms 592 KB Output is correct
28 Correct 2 ms 592 KB Output is correct
29 Correct 2 ms 592 KB Output is correct
30 Correct 1 ms 472 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 25796 KB Output is correct
2 Correct 90 ms 25408 KB Output is correct
3 Correct 92 ms 26184 KB Output is correct
4 Correct 97 ms 25028 KB Output is correct
5 Correct 89 ms 26348 KB Output is correct
6 Correct 88 ms 25928 KB Output is correct
7 Correct 90 ms 26016 KB Output is correct
8 Correct 85 ms 26324 KB Output is correct
9 Correct 87 ms 24648 KB Output is correct
10 Correct 91 ms 25300 KB Output is correct
11 Correct 83 ms 24484 KB Output is correct
12 Correct 81 ms 24912 KB Output is correct
13 Correct 80 ms 24392 KB Output is correct
14 Correct 88 ms 24656 KB Output is correct
15 Correct 110 ms 26008 KB Output is correct
16 Correct 87 ms 24256 KB Output is correct
17 Correct 97 ms 24964 KB Output is correct
18 Correct 88 ms 26456 KB Output is correct
19 Correct 95 ms 25928 KB Output is correct
20 Correct 83 ms 24872 KB Output is correct
21 Correct 112 ms 26448 KB Output is correct
22 Correct 113 ms 26184 KB Output is correct
23 Correct 127 ms 26552 KB Output is correct
24 Correct 115 ms 26184 KB Output is correct
25 Correct 122 ms 26440 KB Output is correct
26 Correct 124 ms 26624 KB Output is correct
27 Correct 115 ms 26720 KB Output is correct
28 Correct 117 ms 26440 KB Output is correct
29 Correct 126 ms 26756 KB Output is correct
30 Correct 118 ms 26696 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 504 KB Output is correct
34 Correct 1 ms 508 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 592 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 1 ms 336 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 1 ms 336 KB Output is correct
49 Correct 1 ms 336 KB Output is correct
50 Correct 1 ms 336 KB Output is correct
51 Correct 2 ms 592 KB Output is correct
52 Correct 1 ms 592 KB Output is correct
53 Correct 1 ms 592 KB Output is correct
54 Correct 1 ms 592 KB Output is correct
55 Correct 2 ms 604 KB Output is correct
56 Correct 2 ms 592 KB Output is correct
57 Correct 1 ms 592 KB Output is correct
58 Correct 2 ms 592 KB Output is correct
59 Correct 2 ms 592 KB Output is correct
60 Correct 1 ms 472 KB Output is correct
61 Correct 135 ms 26184 KB Output is correct
62 Correct 136 ms 26852 KB Output is correct
63 Correct 137 ms 26192 KB Output is correct
64 Correct 153 ms 26720 KB Output is correct
65 Correct 156 ms 26696 KB Output is correct
66 Correct 148 ms 26440 KB Output is correct
67 Correct 148 ms 26184 KB Output is correct
68 Correct 125 ms 26572 KB Output is correct
69 Correct 109 ms 26192 KB Output is correct
70 Correct 117 ms 26144 KB Output is correct