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Submission #1078640

# Submission time Handle Problem Language Result Execution time Memory
1078640 2024-08-28T02:25:38 Z YudoTLE Feast (NOI19_feast) C++17
100 / 100
 102 ms 12832 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using pll = pair<ll, ll>;

const ll INF = LLONG_MAX / 2;
const int iINF = INT_MAX / 2;
const int MAXN = 3e5 + 5;

int n, k;
ll arr[MAXN], dp[MAXN][2];
int cnt[MAXN][2];

pll eval(ll c)
{
    dp[0][1] = -INF;
    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] - c >= dp[i - 1][1])
        {
            dp[i][1] = arr[i] + dp[i - 1][0] - c;
            cnt[i][1] = cnt[i - 1][0] + 1;
        }
        else
        {
            dp[i][1] = arr[i] + dp[i - 1][1];
            cnt[i][1] = cnt[i - 1][1];
        }
    }
    return max(pll(dp[n][0], cnt[n][0]), pll(dp[n][1], cnt[n][1]));
}

void solve()
{
    cin >> n >> k;
    for (int i = 1; i <= n; i++)
        cin >> arr[i];

    ll answer = 0;
    ll lo = 0, hi = INF;
    while (lo <= hi)
    {
        ll mi = lo + (hi - lo) / 2;
        auto [optv, optc] = eval(mi);
        if (optc <= k)
            hi = mi - 1, answer = max(answer, optv + optc * mi);
        else
            lo = mi + 1;
    }

    cout << answer << '\n';
}

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

    int t = 1;
    // cin >> t;
    while (t--) solve();

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 12124 KB Output is correct
2 Correct 50 ms 12368 KB Output is correct
3 Correct 51 ms 12708 KB Output is correct
4 Correct 49 ms 12620 KB Output is correct
5 Correct 51 ms 12380 KB Output is correct
6 Correct 51 ms 12116 KB Output is correct
7 Correct 51 ms 12120 KB Output is correct
8 Correct 56 ms 12368 KB Output is correct
9 Correct 49 ms 12380 KB Output is correct
10 Correct 65 ms 12496 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 10576 KB Output is correct
2 Correct 45 ms 10840 KB Output is correct
3 Correct 43 ms 10588 KB Output is correct
4 Correct 44 ms 10616 KB Output is correct
5 Correct 51 ms 12368 KB Output is correct
6 Correct 43 ms 10576 KB Output is correct
7 Correct 44 ms 10844 KB Output is correct
8 Correct 51 ms 12628 KB Output is correct
9 Correct 49 ms 12112 KB Output is correct
10 Correct 42 ms 10844 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 12624 KB Output is correct
2 Correct 68 ms 12416 KB Output is correct
3 Correct 67 ms 12532 KB Output is correct
4 Correct 67 ms 12604 KB Output is correct
5 Correct 66 ms 12708 KB Output is correct
6 Correct 67 ms 12692 KB Output is correct
7 Correct 70 ms 12624 KB Output is correct
8 Correct 66 ms 12712 KB Output is correct
9 Correct 67 ms 12624 KB Output is correct
10 Correct 70 ms 12832 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 352 KB Output is correct
4 Correct 0 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 352 KB Output is correct
4 Correct 0 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 352 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 352 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 360 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 352 KB Output is correct
4 Correct 0 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 352 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 352 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 360 KB Output is correct
21 Correct 1 ms 360 KB Output is correct
22 Correct 1 ms 360 KB Output is correct
23 Correct 1 ms 360 KB Output is correct
24 Correct 1 ms 360 KB Output is correct
25 Correct 1 ms 360 KB Output is correct
26 Correct 1 ms 360 KB Output is correct
27 Correct 1 ms 360 KB Output is correct
28 Correct 1 ms 360 KB Output is correct
29 Correct 1 ms 360 KB Output is correct
30 Correct 1 ms 360 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 12124 KB Output is correct
2 Correct 50 ms 12368 KB Output is correct
3 Correct 51 ms 12708 KB Output is correct
4 Correct 49 ms 12620 KB Output is correct
5 Correct 51 ms 12380 KB Output is correct
6 Correct 51 ms 12116 KB Output is correct
7 Correct 51 ms 12120 KB Output is correct
8 Correct 56 ms 12368 KB Output is correct
9 Correct 49 ms 12380 KB Output is correct
10 Correct 65 ms 12496 KB Output is correct
11 Correct 42 ms 10576 KB Output is correct
12 Correct 45 ms 10840 KB Output is correct
13 Correct 43 ms 10588 KB Output is correct
14 Correct 44 ms 10616 KB Output is correct
15 Correct 51 ms 12368 KB Output is correct
16 Correct 43 ms 10576 KB Output is correct
17 Correct 44 ms 10844 KB Output is correct
18 Correct 51 ms 12628 KB Output is correct
19 Correct 49 ms 12112 KB Output is correct
20 Correct 42 ms 10844 KB Output is correct
21 Correct 75 ms 12624 KB Output is correct
22 Correct 68 ms 12416 KB Output is correct
23 Correct 67 ms 12532 KB Output is correct
24 Correct 67 ms 12604 KB Output is correct
25 Correct 66 ms 12708 KB Output is correct
26 Correct 67 ms 12692 KB Output is correct
27 Correct 70 ms 12624 KB Output is correct
28 Correct 66 ms 12712 KB Output is correct
29 Correct 67 ms 12624 KB Output is correct
30 Correct 70 ms 12832 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 352 KB Output is correct
34 Correct 0 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 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 344 KB Output is correct
45 Correct 1 ms 344 KB Output is correct
46 Correct 1 ms 352 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 352 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 360 KB Output is correct
51 Correct 1 ms 360 KB Output is correct
52 Correct 1 ms 360 KB Output is correct
53 Correct 1 ms 360 KB Output is correct
54 Correct 1 ms 360 KB Output is correct
55 Correct 1 ms 360 KB Output is correct
56 Correct 1 ms 360 KB Output is correct
57 Correct 1 ms 360 KB Output is correct
58 Correct 1 ms 360 KB Output is correct
59 Correct 1 ms 360 KB Output is correct
60 Correct 1 ms 360 KB Output is correct
61 Correct 102 ms 12372 KB Output is correct
62 Correct 101 ms 12636 KB Output is correct
63 Correct 75 ms 12376 KB Output is correct
64 Correct 100 ms 12604 KB Output is correct
65 Correct 100 ms 12628 KB Output is correct
66 Correct 96 ms 12628 KB Output is correct
67 Correct 92 ms 12380 KB Output is correct
68 Correct 70 ms 12800 KB Output is correct
69 Correct 68 ms 12368 KB Output is correct
70 Correct 75 ms 12492 KB Output is correct