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Submission #632631

# Submission time Handle Problem Language Result Execution time Memory
632631 2022-08-20T13:18:40 Z phungha Feast (NOI19_feast) C++14
100 / 100
 135 ms 9236 KB 
#include <bits/stdc++.h>
using namespace std;

int n, k, cnt[300001];
long long s[300001], dp[300001];

int calc(long long lambda) {
    // dp[i]: tổng lớn nhất của các đoạn với i phần tử đầu tiên, nếu mỗi đoạn khác rỗng được trừ đi lambda
    // cnt[i]: số đoạn tối thiểu
    dp[0] = cnt[0] = 0;
    long long dp_max = 0;
    int cnt_max = 0;
    for (int i = 1; i <= n; i++) {
        // không dùng thêm đoạn
        dp[i] = dp[i - 1];
        cnt[i] = cnt[i - 1];

        // sử dụng thêm đoạn
        if ((dp_max + s[i] - lambda > dp[i]) || (dp_max + s[i] - lambda == dp[i] && cnt[i] > cnt_max + 1)) {
            dp[i] = dp_max + s[i] - lambda;
            cnt[i] = cnt_max + 1;
        }
        if ((dp[i] - s[i] > dp_max) || (dp[i] - s[i] == dp_max && cnt_max > cnt[i])) {
            dp_max = dp[i] - s[i];
            cnt_max = cnt[i];
        }
    }
    return cnt[n];
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    //freopen("test11.in", "r", stdin);
    //freopen("test01.out", "w", stdout);
    cin >> n >> k;
    s[0] = 0;
    for (int i = 1; i <= n; i++) {
        cin >> s[i];
        s[i] += s[i - 1];
    }
    long long l = 0, r = 3e14;
    while (l < r) {
        long long c = (l + r) / 2;
        if (calc(c) > k)
            l = c + 1;
        else
            r = c;
    }
    calc(l);
    cout << dp[n] + l * cnt[n] << "\n";
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 8772 KB Output is correct
2 Correct 59 ms 8912 KB Output is correct
3 Correct 55 ms 8964 KB Output is correct
4 Correct 61 ms 8992 KB Output is correct
5 Correct 66 ms 8948 KB Output is correct
6 Correct 63 ms 8724 KB Output is correct
7 Correct 69 ms 8704 KB Output is correct
8 Correct 64 ms 8920 KB Output is correct
9 Correct 81 ms 8784 KB Output is correct
10 Correct 74 ms 8976 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 7156 KB Output is correct
2 Correct 62 ms 7308 KB Output is correct
3 Correct 62 ms 7148 KB Output is correct
4 Correct 52 ms 7212 KB Output is correct
5 Correct 60 ms 8808 KB Output is correct
6 Correct 53 ms 7140 KB Output is correct
7 Correct 58 ms 7312 KB Output is correct
8 Correct 65 ms 8936 KB Output is correct
9 Correct 68 ms 8820 KB Output is correct
10 Correct 55 ms 7276 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 9140 KB Output is correct
2 Correct 96 ms 8988 KB Output is correct
3 Correct 87 ms 9120 KB Output is correct
4 Correct 84 ms 9132 KB Output is correct
5 Correct 83 ms 9116 KB Output is correct
6 Correct 86 ms 9176 KB Output is correct
7 Correct 85 ms 9208 KB Output is correct
8 Correct 82 ms 9124 KB Output is correct
9 Correct 89 ms 9224 KB Output is correct
10 Correct 101 ms 9192 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 324 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 328 KB Output is correct
20 Correct 1 ms 440 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 324 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 328 KB Output is correct
20 Correct 1 ms 440 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 360 KB Output is correct
24 Correct 1 ms 356 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 2 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 8772 KB Output is correct
2 Correct 59 ms 8912 KB Output is correct
3 Correct 55 ms 8964 KB Output is correct
4 Correct 61 ms 8992 KB Output is correct
5 Correct 66 ms 8948 KB Output is correct
6 Correct 63 ms 8724 KB Output is correct
7 Correct 69 ms 8704 KB Output is correct
8 Correct 64 ms 8920 KB Output is correct
9 Correct 81 ms 8784 KB Output is correct
10 Correct 74 ms 8976 KB Output is correct
11 Correct 67 ms 7156 KB Output is correct
12 Correct 62 ms 7308 KB Output is correct
13 Correct 62 ms 7148 KB Output is correct
14 Correct 52 ms 7212 KB Output is correct
15 Correct 60 ms 8808 KB Output is correct
16 Correct 53 ms 7140 KB Output is correct
17 Correct 58 ms 7312 KB Output is correct
18 Correct 65 ms 8936 KB Output is correct
19 Correct 68 ms 8820 KB Output is correct
20 Correct 55 ms 7276 KB Output is correct
21 Correct 93 ms 9140 KB Output is correct
22 Correct 96 ms 8988 KB Output is correct
23 Correct 87 ms 9120 KB Output is correct
24 Correct 84 ms 9132 KB Output is correct
25 Correct 83 ms 9116 KB Output is correct
26 Correct 86 ms 9176 KB Output is correct
27 Correct 85 ms 9208 KB Output is correct
28 Correct 82 ms 9124 KB Output is correct
29 Correct 89 ms 9224 KB Output is correct
30 Correct 101 ms 9192 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 1 ms 324 KB Output is correct
42 Correct 1 ms 324 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 328 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 328 KB Output is correct
50 Correct 1 ms 440 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 2 ms 360 KB Output is correct
54 Correct 1 ms 356 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 2 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 128 ms 9016 KB Output is correct
62 Correct 135 ms 9236 KB Output is correct
63 Correct 110 ms 8916 KB Output is correct
64 Correct 117 ms 9176 KB Output is correct
65 Correct 118 ms 9092 KB Output is correct
66 Correct 116 ms 9152 KB Output is correct
67 Correct 126 ms 9012 KB Output is correct
68 Correct 82 ms 9180 KB Output is correct
69 Correct 83 ms 8928 KB Output is correct
70 Correct 86 ms 8852 KB Output is correct