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Submission #733450

# Submission time Handle Problem Language Result Execution time Memory
733450 2023-04-30T18:36:15 Z finn__ Feast (NOI19_feast) C++17
100 / 100
 137 ms 5708 KB 
#include <bits/stdc++.h>
using namespace std;

constexpr size_t N = 300000;

int64_t a[N];

pair<int64_t, int64_t> dp(size_t n, int64_t lambda)
{
    int64_t mu = 0, nu = 0, p = 0, cnt = 0, _cnt = 0;
    for (size_t i = 0; i < n; ++i)
    {
        p += a[i];
        if (mu + p - lambda > nu)
            nu = mu + p - lambda, _cnt = cnt + 1;
        if (nu - p > mu)
            cnt = _cnt, mu = nu - p;
    }
    return {nu, _cnt};
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    size_t n, k;
    cin >> n >> k;
    for (size_t i = 0; i < n; ++i)
        cin >> a[i];

    int64_t u = 0, v = 1LL << 55;
    while (u < v)
    {
        if (dp(n, (u + v) / 2).second <= k)
            v = (u + v) / 2;
        else
            u = (u + v) / 2 + 1;
    }
    auto const [objective_val, cnt] = dp(n, u);
    cout << objective_val + k * u << '\n';
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:35:39: warning: comparison of integer expressions of different signedness: 'long int' and 'size_t' {aka 'long unsigned int'} [-Wsign-compare]
   35 |         if (dp(n, (u + v) / 2).second <= k)
      |             ~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 3552 KB Output is correct
2 Correct 55 ms 5464 KB Output is correct
3 Correct 73 ms 5444 KB Output is correct
4 Correct 57 ms 5492 KB Output is correct
5 Correct 66 ms 5436 KB Output is correct
6 Correct 56 ms 5380 KB Output is correct
7 Correct 58 ms 5380 KB Output is correct
8 Correct 65 ms 5488 KB Output is correct
9 Correct 61 ms 5324 KB Output is correct
10 Correct 62 ms 5372 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 3664 KB Output is correct
2 Correct 42 ms 3732 KB Output is correct
3 Correct 41 ms 3664 KB Output is correct
4 Correct 47 ms 3628 KB Output is correct
5 Correct 61 ms 5280 KB Output is correct
6 Correct 41 ms 3636 KB Output is correct
7 Correct 50 ms 3792 KB Output is correct
8 Correct 62 ms 5456 KB Output is correct
9 Correct 51 ms 5324 KB Output is correct
10 Correct 44 ms 3660 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 3716 KB Output is correct
2 Correct 79 ms 3696 KB Output is correct
3 Correct 94 ms 3836 KB Output is correct
4 Correct 81 ms 3880 KB Output is correct
5 Correct 79 ms 3716 KB Output is correct
6 Correct 74 ms 3732 KB Output is correct
7 Correct 79 ms 3720 KB Output is correct
8 Correct 86 ms 3672 KB Output is correct
9 Correct 79 ms 3748 KB Output is correct
10 Correct 82 ms 3624 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 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 328 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 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 324 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 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 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 324 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 336 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 356 KB Output is correct
29 Correct 2 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 3552 KB Output is correct
2 Correct 55 ms 5464 KB Output is correct
3 Correct 73 ms 5444 KB Output is correct
4 Correct 57 ms 5492 KB Output is correct
5 Correct 66 ms 5436 KB Output is correct
6 Correct 56 ms 5380 KB Output is correct
7 Correct 58 ms 5380 KB Output is correct
8 Correct 65 ms 5488 KB Output is correct
9 Correct 61 ms 5324 KB Output is correct
10 Correct 62 ms 5372 KB Output is correct
11 Correct 46 ms 3664 KB Output is correct
12 Correct 42 ms 3732 KB Output is correct
13 Correct 41 ms 3664 KB Output is correct
14 Correct 47 ms 3628 KB Output is correct
15 Correct 61 ms 5280 KB Output is correct
16 Correct 41 ms 3636 KB Output is correct
17 Correct 50 ms 3792 KB Output is correct
18 Correct 62 ms 5456 KB Output is correct
19 Correct 51 ms 5324 KB Output is correct
20 Correct 44 ms 3660 KB Output is correct
21 Correct 86 ms 3716 KB Output is correct
22 Correct 79 ms 3696 KB Output is correct
23 Correct 94 ms 3836 KB Output is correct
24 Correct 81 ms 3880 KB Output is correct
25 Correct 79 ms 3716 KB Output is correct
26 Correct 74 ms 3732 KB Output is correct
27 Correct 79 ms 3720 KB Output is correct
28 Correct 86 ms 3672 KB Output is correct
29 Correct 79 ms 3748 KB Output is correct
30 Correct 82 ms 3624 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 324 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 328 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 324 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 2 ms 336 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 356 KB Output is correct
59 Correct 2 ms 340 KB Output is correct
60 Correct 2 ms 340 KB Output is correct
61 Correct 120 ms 5512 KB Output is correct
62 Correct 126 ms 5708 KB Output is correct
63 Correct 89 ms 5560 KB Output is correct
64 Correct 137 ms 5660 KB Output is correct
65 Correct 118 ms 5580 KB Output is correct
66 Correct 122 ms 5568 KB Output is correct
67 Correct 122 ms 5568 KB Output is correct
68 Correct 111 ms 5676 KB Output is correct
69 Correct 80 ms 5632 KB Output is correct
70 Correct 75 ms 5644 KB Output is correct