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Submission #1103118

# Submission time Handle Problem Language Result Execution time Memory
1103118 2024-10-20T06:52:55 Z haianhnguyen08102007 Feast (NOI19_feast) C++11
100 / 100
 88 ms 7516 KB 
#include <bits/stdc++.h>
#define int long long

using namespace std;

const int N = 3e5+10;

int n, k, a[N];
pair <int, int> dp[N];

pair <int, int> calculate(int c)
{
    pair <int, int> Max = {0, 0};
    dp[0] = {0, 0};

    for (int i=1; i<=n; i++)
    {
        dp[i]=dp[i-1];
        if (Max.first + a[i] - c > dp[i].first || (Max.first + a[i] - c == dp[i].first && Max.second + 1 < dp[i].second))
        {
            dp[i].first = Max.first + a[i]-c;
            dp[i].second = Max.second + 1;
        }
        if (dp[i].first - a[i] > Max.first || (dp[i].first - a[i] == Max.first && dp[i].second < Max.second))
        {
            Max.first = dp[i].first - a[i];
            Max.second = dp[i].second;
        }
    }

    return dp[n];
}

int solve()
{
    int left=1; int right=1e14;
    while (left <= right)
    {
        int mid = (left + right) / 2;
        pair <int, int> val = calculate(mid);
        if (val.second == k) return val.first + k * mid;
        if (val.second < k) right = mid - 1;
        else left = mid + 1;
    }

    pair <int, int> val = calculate(left);
    return val.first + val.second * left    ;
}

int32_t main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);

//    freopen("BANQUET.inp", "r", stdin);
//    freopen("BANQUET.out", "w", stdout);

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

    cout<<solve();

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 7248 KB Output is correct
2 Correct 42 ms 7248 KB Output is correct
3 Correct 41 ms 7480 KB Output is correct
4 Correct 40 ms 7248 KB Output is correct
5 Correct 40 ms 7248 KB Output is correct
6 Correct 43 ms 7276 KB Output is correct
7 Correct 39 ms 7416 KB Output is correct
8 Correct 40 ms 7240 KB Output is correct
9 Correct 42 ms 7248 KB Output is correct
10 Correct 43 ms 7400 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 7248 KB Output is correct
2 Correct 25 ms 7504 KB Output is correct
3 Correct 24 ms 7248 KB Output is correct
4 Correct 43 ms 7456 KB Output is correct
5 Correct 22 ms 7248 KB Output is correct
6 Correct 20 ms 7248 KB Output is correct
7 Correct 32 ms 7516 KB Output is correct
8 Correct 21 ms 7244 KB Output is correct
9 Correct 21 ms 7200 KB Output is correct
10 Correct 32 ms 7248 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 7260 KB Output is correct
2 Correct 37 ms 7240 KB Output is correct
3 Correct 42 ms 7240 KB Output is correct
4 Correct 38 ms 7248 KB Output is correct
5 Correct 31 ms 7248 KB Output is correct
6 Correct 34 ms 7248 KB Output is correct
7 Correct 35 ms 7508 KB Output is correct
8 Correct 34 ms 7248 KB Output is correct
9 Correct 32 ms 7240 KB Output is correct
10 Correct 35 ms 7248 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2452 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2452 KB Output is correct
21 Correct 1 ms 2384 KB Output is correct
22 Correct 1 ms 2384 KB Output is correct
23 Correct 1 ms 2384 KB Output is correct
24 Correct 2 ms 2384 KB Output is correct
25 Correct 1 ms 2552 KB Output is correct
26 Correct 1 ms 2492 KB Output is correct
27 Correct 1 ms 2384 KB Output is correct
28 Correct 1 ms 2384 KB Output is correct
29 Correct 1 ms 2384 KB Output is correct
30 Correct 1 ms 2384 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 7248 KB Output is correct
2 Correct 42 ms 7248 KB Output is correct
3 Correct 41 ms 7480 KB Output is correct
4 Correct 40 ms 7248 KB Output is correct
5 Correct 40 ms 7248 KB Output is correct
6 Correct 43 ms 7276 KB Output is correct
7 Correct 39 ms 7416 KB Output is correct
8 Correct 40 ms 7240 KB Output is correct
9 Correct 42 ms 7248 KB Output is correct
10 Correct 43 ms 7400 KB Output is correct
11 Correct 26 ms 7248 KB Output is correct
12 Correct 25 ms 7504 KB Output is correct
13 Correct 24 ms 7248 KB Output is correct
14 Correct 43 ms 7456 KB Output is correct
15 Correct 22 ms 7248 KB Output is correct
16 Correct 20 ms 7248 KB Output is correct
17 Correct 32 ms 7516 KB Output is correct
18 Correct 21 ms 7244 KB Output is correct
19 Correct 21 ms 7200 KB Output is correct
20 Correct 32 ms 7248 KB Output is correct
21 Correct 31 ms 7260 KB Output is correct
22 Correct 37 ms 7240 KB Output is correct
23 Correct 42 ms 7240 KB Output is correct
24 Correct 38 ms 7248 KB Output is correct
25 Correct 31 ms 7248 KB Output is correct
26 Correct 34 ms 7248 KB Output is correct
27 Correct 35 ms 7508 KB Output is correct
28 Correct 34 ms 7248 KB Output is correct
29 Correct 32 ms 7240 KB Output is correct
30 Correct 35 ms 7248 KB Output is correct
31 Correct 1 ms 2384 KB Output is correct
32 Correct 1 ms 2384 KB Output is correct
33 Correct 1 ms 2384 KB Output is correct
34 Correct 1 ms 2384 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2384 KB Output is correct
37 Correct 1 ms 2384 KB Output is correct
38 Correct 1 ms 2384 KB Output is correct
39 Correct 1 ms 2384 KB Output is correct
40 Correct 1 ms 2384 KB Output is correct
41 Correct 1 ms 2384 KB Output is correct
42 Correct 1 ms 2384 KB Output is correct
43 Correct 1 ms 2384 KB Output is correct
44 Correct 1 ms 2384 KB Output is correct
45 Correct 1 ms 2384 KB Output is correct
46 Correct 1 ms 2384 KB Output is correct
47 Correct 1 ms 2384 KB Output is correct
48 Correct 1 ms 2384 KB Output is correct
49 Correct 1 ms 2384 KB Output is correct
50 Correct 1 ms 2452 KB Output is correct
51 Correct 1 ms 2384 KB Output is correct
52 Correct 1 ms 2384 KB Output is correct
53 Correct 1 ms 2384 KB Output is correct
54 Correct 2 ms 2384 KB Output is correct
55 Correct 1 ms 2552 KB Output is correct
56 Correct 1 ms 2492 KB Output is correct
57 Correct 1 ms 2384 KB Output is correct
58 Correct 1 ms 2384 KB Output is correct
59 Correct 1 ms 2384 KB Output is correct
60 Correct 1 ms 2384 KB Output is correct
61 Correct 65 ms 7252 KB Output is correct
62 Correct 88 ms 7260 KB Output is correct
63 Correct 53 ms 7240 KB Output is correct
64 Correct 75 ms 7248 KB Output is correct
65 Correct 59 ms 7248 KB Output is correct
66 Correct 65 ms 7248 KB Output is correct
67 Correct 62 ms 7444 KB Output is correct
68 Correct 38 ms 7248 KB Output is correct
69 Correct 38 ms 7240 KB Output is correct
70 Correct 34 ms 7208 KB Output is correct