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Submission #1102947

# Submission time Handle Problem Language Result Execution time Memory
1102947 2024-10-19T09:12:29 Z filiptudose7 Feast (NOI19_feast) C++11
100 / 100
 95 ms 12368 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
int sp[300005],v[300005];
pair <int,int> dp[300005];
int n,k;
pair <int,int> calc(int lambda)
{
    pair<int,int> Max={0,0};

    for(int i=1; i<=n; ++i)
    {
        dp[i]=dp[i-1];
        if(Max.first+sp[i]-lambda>dp[i].first || (Max.first+sp[i]-lambda==dp[i].first && Max.second+1<dp[i].second))
        {
            dp[i].first=Max.first+sp[i]-lambda;
            dp[i].second=Max.second+1;
        }
        if(dp[i].first>Max.first+sp[i] || (dp[i].first==Max.first+sp[i] && dp[i].second<Max.second))
        {
            Max.first=dp[i].first-sp[i];
            Max.second=dp[i].second;
        }
    }
    return dp[n];
}
int solve()
{
    int st=1;
    int dr=3e14;
    while(st<=dr)
    {
        int mij=(st+dr)/2;
        pair<int,int> val=calc(mij);
        if(val.second==k)
        {
            return val.first+k*mij;
        }
        if(val.second<k)dr=mij-1;
        else st=mij+1;
    }
    pair<int,int> val=calc(st);
    return val.first+val.second*st;
}
signed main()
{
    ///freopen("feast.in","r",stdin);
    ///freopen("feast.out","w",stdout);
    cin.sync_with_stdio(false);
    cin.tie(0);
    cin>>n>>k;
    for(int i=1; i<=n; ++i)cin>>v[i];
    for(int i=1; i<=n; ++i)sp[i]=sp[i-1]+v[i];
    cout<<solve();
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 9552 KB Output is correct
2 Correct 45 ms 10832 KB Output is correct
3 Correct 46 ms 10832 KB Output is correct
4 Correct 45 ms 10832 KB Output is correct
5 Correct 45 ms 9808 KB Output is correct
6 Correct 44 ms 9636 KB Output is correct
7 Correct 42 ms 9688 KB Output is correct
8 Correct 41 ms 9808 KB Output is correct
9 Correct 43 ms 9552 KB Output is correct
10 Correct 45 ms 9808 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 9552 KB Output is correct
2 Correct 29 ms 9808 KB Output is correct
3 Correct 24 ms 9552 KB Output is correct
4 Correct 36 ms 9808 KB Output is correct
5 Correct 24 ms 9552 KB Output is correct
6 Correct 23 ms 9552 KB Output is correct
7 Correct 35 ms 9808 KB Output is correct
8 Correct 25 ms 10644 KB Output is correct
9 Correct 30 ms 9568 KB Output is correct
10 Correct 36 ms 9808 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 9808 KB Output is correct
2 Correct 41 ms 12112 KB Output is correct
3 Correct 38 ms 9808 KB Output is correct
4 Correct 49 ms 9544 KB Output is correct
5 Correct 34 ms 9808 KB Output is correct
6 Correct 36 ms 12364 KB Output is correct
7 Correct 44 ms 11544 KB Output is correct
8 Correct 35 ms 11552 KB Output is correct
9 Correct 34 ms 12368 KB Output is correct
10 Correct 42 ms 9808 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 2520 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 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 2520 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 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 2384 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 2520 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 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 2384 KB Output is correct
21 Correct 2 ms 2384 KB Output is correct
22 Correct 2 ms 2384 KB Output is correct
23 Correct 1 ms 2384 KB Output is correct
24 Correct 1 ms 2384 KB Output is correct
25 Correct 2 ms 2384 KB Output is correct
26 Correct 1 ms 2548 KB Output is correct
27 Correct 1 ms 2384 KB Output is correct
28 Correct 1 ms 2384 KB Output is correct
29 Correct 2 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 50 ms 9552 KB Output is correct
2 Correct 45 ms 10832 KB Output is correct
3 Correct 46 ms 10832 KB Output is correct
4 Correct 45 ms 10832 KB Output is correct
5 Correct 45 ms 9808 KB Output is correct
6 Correct 44 ms 9636 KB Output is correct
7 Correct 42 ms 9688 KB Output is correct
8 Correct 41 ms 9808 KB Output is correct
9 Correct 43 ms 9552 KB Output is correct
10 Correct 45 ms 9808 KB Output is correct
11 Correct 26 ms 9552 KB Output is correct
12 Correct 29 ms 9808 KB Output is correct
13 Correct 24 ms 9552 KB Output is correct
14 Correct 36 ms 9808 KB Output is correct
15 Correct 24 ms 9552 KB Output is correct
16 Correct 23 ms 9552 KB Output is correct
17 Correct 35 ms 9808 KB Output is correct
18 Correct 25 ms 10644 KB Output is correct
19 Correct 30 ms 9568 KB Output is correct
20 Correct 36 ms 9808 KB Output is correct
21 Correct 38 ms 9808 KB Output is correct
22 Correct 41 ms 12112 KB Output is correct
23 Correct 38 ms 9808 KB Output is correct
24 Correct 49 ms 9544 KB Output is correct
25 Correct 34 ms 9808 KB Output is correct
26 Correct 36 ms 12364 KB Output is correct
27 Correct 44 ms 11544 KB Output is correct
28 Correct 35 ms 11552 KB Output is correct
29 Correct 34 ms 12368 KB Output is correct
30 Correct 42 ms 9808 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 2520 KB Output is correct
34 Correct 1 ms 2384 KB Output is correct
35 Correct 1 ms 2384 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 2384 KB Output is correct
51 Correct 2 ms 2384 KB Output is correct
52 Correct 2 ms 2384 KB Output is correct
53 Correct 1 ms 2384 KB Output is correct
54 Correct 1 ms 2384 KB Output is correct
55 Correct 2 ms 2384 KB Output is correct
56 Correct 1 ms 2548 KB Output is correct
57 Correct 1 ms 2384 KB Output is correct
58 Correct 1 ms 2384 KB Output is correct
59 Correct 2 ms 2384 KB Output is correct
60 Correct 1 ms 2384 KB Output is correct
61 Correct 68 ms 11336 KB Output is correct
62 Correct 95 ms 9676 KB Output is correct
63 Correct 62 ms 11512 KB Output is correct
64 Correct 80 ms 9808 KB Output is correct
65 Correct 64 ms 12368 KB Output is correct
66 Correct 84 ms 9684 KB Output is correct
67 Correct 69 ms 11336 KB Output is correct
68 Correct 46 ms 11848 KB Output is correct
69 Correct 44 ms 11356 KB Output is correct
70 Correct 38 ms 9692 KB Output is correct