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Submission #1103167

# Submission time Handle Problem Language Result Execution time Memory
1103167 2024-10-20T12:28:29 Z 0pt1mus23 Feast (NOI19_feast) C++14
100 / 100
 127 ms 20048 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define ins insert      
#define pb push_back
#define endl '\n'
#define putr(x) cout<<x<<endl;return; 
#define all(x) x.begin(),x.end()
// mt19937 rng(time(0));
const int mod = 1e9 +9, sze = 5e5 +23, inf = LLONG_MAX, LL = 30;
// Lagrangian Relaxation - Usaco Guide
pair<int,int> dp[2][sze];
int arr[sze];
int n;
void clc(int mid){
    dp[1][0]={arr[0]-mid,1}; 
    dp[0][0]={0,0};
    for(int i=1;i<n;i++){
        dp[0][i]=max(dp[0][i-1],dp[1][i-1]);
        dp[1][i]=max(
            make_pair(dp[0][i-1].first + arr[i]-mid,dp[0][i-1].second +1),
            make_pair(dp[1][i-1].first + arr[i],dp[1][i-1].second)
        );
    }    
}

void rush(){
    int k;
    cin>>n>>k;
    for(int i=0;i<n;i++){
        cin>>arr[i];
    }

    int l =0;
    int r = 1e18;
    int ans=0;
    while(l<=r){
        int mid = (l+r)/2;
        clc(mid);
        auto mx = max(dp[1][n-1],dp[0][n-1]);
        if(mx.second >=k ){
            ans=mid;
            l=mid+1;
        }
        else{
            r = mid-1;
        }
    }

    clc(ans);
    auto mx = max(dp[1][n-1],dp[0][n-1]);
    putr( k*ans + mx.first );
}

signed main(){
    ios::sync_with_stdio(0);
    cin.tie(0);
    int tt = 1;

    // cin>>tt;
    while(tt--){
        rush();
    }
 
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 16968 KB Output is correct
2 Correct 55 ms 17364 KB Output is correct
3 Correct 57 ms 17304 KB Output is correct
4 Correct 54 ms 17400 KB Output is correct
5 Correct 58 ms 18432 KB Output is correct
6 Correct 52 ms 16968 KB Output is correct
7 Correct 52 ms 16976 KB Output is correct
8 Correct 52 ms 16976 KB Output is correct
9 Correct 52 ms 17024 KB Output is correct
10 Correct 62 ms 16976 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 16976 KB Output is correct
2 Correct 47 ms 16976 KB Output is correct
3 Correct 52 ms 16976 KB Output is correct
4 Correct 46 ms 16976 KB Output is correct
5 Correct 55 ms 18132 KB Output is correct
6 Correct 49 ms 17084 KB Output is correct
7 Correct 47 ms 17232 KB Output is correct
8 Correct 69 ms 19188 KB Output is correct
9 Correct 55 ms 16976 KB Output is correct
10 Correct 51 ms 16976 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 16976 KB Output is correct
2 Correct 96 ms 17884 KB Output is correct
3 Correct 86 ms 18400 KB Output is correct
4 Correct 95 ms 18996 KB Output is correct
5 Correct 101 ms 18504 KB Output is correct
6 Correct 82 ms 16972 KB Output is correct
7 Correct 87 ms 18388 KB Output is correct
8 Correct 84 ms 18260 KB Output is correct
9 Correct 82 ms 17228 KB Output is correct
10 Correct 87 ms 19528 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4560 KB Output is correct
4 Correct 1 ms 4664 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 1 ms 4604 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4432 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4560 KB Output is correct
4 Correct 1 ms 4664 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 1 ms 4604 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4432 KB Output is correct
11 Correct 1 ms 4432 KB Output is correct
12 Correct 2 ms 4432 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 4432 KB Output is correct
16 Correct 1 ms 4432 KB Output is correct
17 Correct 1 ms 4432 KB Output is correct
18 Correct 1 ms 4432 KB Output is correct
19 Correct 1 ms 4432 KB Output is correct
20 Correct 1 ms 4432 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4560 KB Output is correct
4 Correct 1 ms 4664 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 1 ms 4604 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4432 KB Output is correct
11 Correct 1 ms 4432 KB Output is correct
12 Correct 2 ms 4432 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 4432 KB Output is correct
16 Correct 1 ms 4432 KB Output is correct
17 Correct 1 ms 4432 KB Output is correct
18 Correct 1 ms 4432 KB Output is correct
19 Correct 1 ms 4432 KB Output is correct
20 Correct 1 ms 4432 KB Output is correct
21 Correct 2 ms 4432 KB Output is correct
22 Correct 2 ms 4432 KB Output is correct
23 Correct 2 ms 4432 KB Output is correct
24 Correct 1 ms 4432 KB Output is correct
25 Correct 2 ms 4432 KB Output is correct
26 Correct 1 ms 4432 KB Output is correct
27 Correct 1 ms 4432 KB Output is correct
28 Correct 1 ms 4432 KB Output is correct
29 Correct 2 ms 4432 KB Output is correct
30 Correct 2 ms 4532 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 16968 KB Output is correct
2 Correct 55 ms 17364 KB Output is correct
3 Correct 57 ms 17304 KB Output is correct
4 Correct 54 ms 17400 KB Output is correct
5 Correct 58 ms 18432 KB Output is correct
6 Correct 52 ms 16968 KB Output is correct
7 Correct 52 ms 16976 KB Output is correct
8 Correct 52 ms 16976 KB Output is correct
9 Correct 52 ms 17024 KB Output is correct
10 Correct 62 ms 16976 KB Output is correct
11 Correct 53 ms 16976 KB Output is correct
12 Correct 47 ms 16976 KB Output is correct
13 Correct 52 ms 16976 KB Output is correct
14 Correct 46 ms 16976 KB Output is correct
15 Correct 55 ms 18132 KB Output is correct
16 Correct 49 ms 17084 KB Output is correct
17 Correct 47 ms 17232 KB Output is correct
18 Correct 69 ms 19188 KB Output is correct
19 Correct 55 ms 16976 KB Output is correct
20 Correct 51 ms 16976 KB Output is correct
21 Correct 81 ms 16976 KB Output is correct
22 Correct 96 ms 17884 KB Output is correct
23 Correct 86 ms 18400 KB Output is correct
24 Correct 95 ms 18996 KB Output is correct
25 Correct 101 ms 18504 KB Output is correct
26 Correct 82 ms 16972 KB Output is correct
27 Correct 87 ms 18388 KB Output is correct
28 Correct 84 ms 18260 KB Output is correct
29 Correct 82 ms 17228 KB Output is correct
30 Correct 87 ms 19528 KB Output is correct
31 Correct 1 ms 4432 KB Output is correct
32 Correct 1 ms 4432 KB Output is correct
33 Correct 1 ms 4560 KB Output is correct
34 Correct 1 ms 4664 KB Output is correct
35 Correct 1 ms 4432 KB Output is correct
36 Correct 1 ms 4432 KB Output is correct
37 Correct 2 ms 4432 KB Output is correct
38 Correct 1 ms 4604 KB Output is correct
39 Correct 1 ms 4432 KB Output is correct
40 Correct 1 ms 4432 KB Output is correct
41 Correct 1 ms 4432 KB Output is correct
42 Correct 2 ms 4432 KB Output is correct
43 Correct 1 ms 4432 KB Output is correct
44 Correct 1 ms 4432 KB Output is correct
45 Correct 1 ms 4432 KB Output is correct
46 Correct 1 ms 4432 KB Output is correct
47 Correct 1 ms 4432 KB Output is correct
48 Correct 1 ms 4432 KB Output is correct
49 Correct 1 ms 4432 KB Output is correct
50 Correct 1 ms 4432 KB Output is correct
51 Correct 2 ms 4432 KB Output is correct
52 Correct 2 ms 4432 KB Output is correct
53 Correct 2 ms 4432 KB Output is correct
54 Correct 1 ms 4432 KB Output is correct
55 Correct 2 ms 4432 KB Output is correct
56 Correct 1 ms 4432 KB Output is correct
57 Correct 1 ms 4432 KB Output is correct
58 Correct 1 ms 4432 KB Output is correct
59 Correct 2 ms 4432 KB Output is correct
60 Correct 2 ms 4532 KB Output is correct
61 Correct 116 ms 19788 KB Output is correct
62 Correct 124 ms 20040 KB Output is correct
63 Correct 102 ms 19792 KB Output is correct
64 Correct 120 ms 20040 KB Output is correct
65 Correct 121 ms 20048 KB Output is correct
66 Correct 127 ms 20040 KB Output is correct
67 Correct 124 ms 20040 KB Output is correct
68 Correct 85 ms 20036 KB Output is correct
69 Correct 85 ms 19784 KB Output is correct
70 Correct 83 ms 18648 KB Output is correct