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Submission #1017688

# Submission time Handle Problem Language Result Execution time Memory
1017688 2024-07-09T09:29:45 Z vjudge1 Feast (NOI19_feast) C++17
100 / 100
 74 ms 8552 KB 
#include <bits/stdc++.h>
using namespace std;
long long dp[300001][2];
int cnt[300001][2];

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);

    int n,k; cin >> n >> k;
    int a[n+1];
    for (int i = 1; i <= n; cin >> a[i++]) {}

    long long l = 0, r = 5e10, ans;
    while (r > l) {
        long long lambda = (l+r)/2;
        dp[0][0] = 0;
        cnt[0][0] = 0;
        dp[0][1] = -1e18;
        for (int i = 1; i <= n; i++) {
            if (dp[i-1][0] > dp[i-1][1]) {
                dp[i][0] = dp[i-1][0];
                cnt[i][0] = cnt[i-1][0];
            } else {
                dp[i][0]= dp[i-1][1];
                cnt[i][0] = cnt[i-1][1];
            }

            if (dp[i-1][0] - lambda > dp[i-1][1]) {
                dp[i][1] = dp[i-1][0] - lambda + a[i];
                cnt[i][1] = cnt[i-1][0] + 1;
            } else {
                dp[i][1] = dp[i-1][1] + a[i];
                cnt[i][1] = cnt[i-1][1];
            }
        }
        double friends;
        if (dp[n][0] > dp[n][1]) {
            ans = dp[n][0] + lambda*cnt[n][0];
            friends = cnt[n][0];
        } else {
            ans = dp[n][1] + lambda*cnt[n][1];
            friends = cnt[n][1];
        }
        if (friends == k) {
            break;
        }
        if (friends > k) l = lambda+1;
        else r = lambda-1;
    }
    cout << ans;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 8284 KB Output is correct
2 Correct 38 ms 8540 KB Output is correct
3 Correct 39 ms 8536 KB Output is correct
4 Correct 36 ms 8536 KB Output is correct
5 Correct 34 ms 8540 KB Output is correct
6 Correct 40 ms 8272 KB Output is correct
7 Correct 59 ms 8276 KB Output is correct
8 Correct 35 ms 8540 KB Output is correct
9 Correct 60 ms 8284 KB Output is correct
10 Correct 35 ms 8540 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 8284 KB Output is correct
2 Correct 18 ms 8540 KB Output is correct
3 Correct 17 ms 8280 KB Output is correct
4 Correct 28 ms 8540 KB Output is correct
5 Correct 19 ms 8284 KB Output is correct
6 Correct 21 ms 8284 KB Output is correct
7 Correct 33 ms 8552 KB Output is correct
8 Correct 20 ms 8540 KB Output is correct
9 Correct 20 ms 8244 KB Output is correct
10 Correct 28 ms 8536 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 8540 KB Output is correct
2 Correct 35 ms 8520 KB Output is correct
3 Correct 22 ms 8524 KB Output is correct
4 Correct 26 ms 8540 KB Output is correct
5 Correct 23 ms 8528 KB Output is correct
6 Correct 26 ms 8532 KB Output is correct
7 Correct 34 ms 8532 KB Output is correct
8 Correct 26 ms 8540 KB Output is correct
9 Correct 32 ms 8540 KB Output is correct
10 Correct 27 ms 8476 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2648 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2648 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 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 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 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 39 ms 8284 KB Output is correct
2 Correct 38 ms 8540 KB Output is correct
3 Correct 39 ms 8536 KB Output is correct
4 Correct 36 ms 8536 KB Output is correct
5 Correct 34 ms 8540 KB Output is correct
6 Correct 40 ms 8272 KB Output is correct
7 Correct 59 ms 8276 KB Output is correct
8 Correct 35 ms 8540 KB Output is correct
9 Correct 60 ms 8284 KB Output is correct
10 Correct 35 ms 8540 KB Output is correct
11 Correct 20 ms 8284 KB Output is correct
12 Correct 18 ms 8540 KB Output is correct
13 Correct 17 ms 8280 KB Output is correct
14 Correct 28 ms 8540 KB Output is correct
15 Correct 19 ms 8284 KB Output is correct
16 Correct 21 ms 8284 KB Output is correct
17 Correct 33 ms 8552 KB Output is correct
18 Correct 20 ms 8540 KB Output is correct
19 Correct 20 ms 8244 KB Output is correct
20 Correct 28 ms 8536 KB Output is correct
21 Correct 23 ms 8540 KB Output is correct
22 Correct 35 ms 8520 KB Output is correct
23 Correct 22 ms 8524 KB Output is correct
24 Correct 26 ms 8540 KB Output is correct
25 Correct 23 ms 8528 KB Output is correct
26 Correct 26 ms 8532 KB Output is correct
27 Correct 34 ms 8532 KB Output is correct
28 Correct 26 ms 8540 KB Output is correct
29 Correct 32 ms 8540 KB Output is correct
30 Correct 27 ms 8476 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2648 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 0 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 1 ms 2392 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 0 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2392 KB Output is correct
43 Correct 1 ms 2648 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 0 ms 2396 KB Output is correct
49 Correct 0 ms 2396 KB Output is correct
50 Correct 1 ms 2392 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 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 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 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 60 ms 8272 KB Output is correct
62 Correct 74 ms 8536 KB Output is correct
63 Correct 42 ms 8244 KB Output is correct
64 Correct 74 ms 8532 KB Output is correct
65 Correct 62 ms 8536 KB Output is correct
66 Correct 59 ms 8528 KB Output is correct
67 Correct 62 ms 8276 KB Output is correct
68 Correct 32 ms 8528 KB Output is correct
69 Correct 33 ms 8284 KB Output is correct
70 Correct 24 ms 8236 KB Output is correct