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Submission #996936

# Submission time Handle Problem Language Result Execution time Memory
996936 2024-06-11T13:29:16 Z ttamx Feast (NOI19_feast) C++17
100 / 100
 94 ms 12888 KB 
#include<bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef pair<ll,int> p2;
 
const int N=3e5+5;
 
int n,k;
ll a[N],qs[N];
p2 dp[N];
 
p2 calc(ll lambda){
    p2 mx(0,0);
    for(int i=1;i<=n;i++){
        dp[i]=max(dp[i-1],{mx.first+qs[i]-lambda,mx.second+1});
        mx=max(mx,{dp[i].first-qs[i],dp[i].second});
    }
    return dp[n];
}
 
int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> k;
    for(int i=1;i<=n;i++)cin >> a[i];
    for(int i=1;i<=n;i++)qs[i]=qs[i-1]+a[i];
    ll l=0,r=3e14;
    while(l<r){
        ll m=(l+r+1)/2;
        if(calc(m).second>=k)l=m;
        else r=m-1;
    }
    cout << calc(l).first+l*k;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 12380 KB Output is correct
2 Correct 39 ms 12380 KB Output is correct
3 Correct 42 ms 12704 KB Output is correct
4 Correct 41 ms 12600 KB Output is correct
5 Correct 41 ms 12368 KB Output is correct
6 Correct 38 ms 12380 KB Output is correct
7 Correct 41 ms 12376 KB Output is correct
8 Correct 40 ms 12368 KB Output is correct
9 Correct 41 ms 12368 KB Output is correct
10 Correct 41 ms 12368 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 10584 KB Output is correct
2 Correct 44 ms 10844 KB Output is correct
3 Correct 38 ms 10596 KB Output is correct
4 Correct 35 ms 10840 KB Output is correct
5 Correct 45 ms 12372 KB Output is correct
6 Correct 39 ms 10588 KB Output is correct
7 Correct 35 ms 10948 KB Output is correct
8 Correct 48 ms 12628 KB Output is correct
9 Correct 46 ms 12368 KB Output is correct
10 Correct 43 ms 10932 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 12632 KB Output is correct
2 Correct 62 ms 12636 KB Output is correct
3 Correct 64 ms 12612 KB Output is correct
4 Correct 64 ms 12628 KB Output is correct
5 Correct 61 ms 12628 KB Output is correct
6 Correct 62 ms 12632 KB Output is correct
7 Correct 73 ms 12844 KB Output is correct
8 Correct 71 ms 12628 KB Output is correct
9 Correct 62 ms 12624 KB Output is correct
10 Correct 66 ms 12840 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2512 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2392 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2512 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2392 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2512 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2512 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2392 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2512 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2392 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2392 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 12380 KB Output is correct
2 Correct 39 ms 12380 KB Output is correct
3 Correct 42 ms 12704 KB Output is correct
4 Correct 41 ms 12600 KB Output is correct
5 Correct 41 ms 12368 KB Output is correct
6 Correct 38 ms 12380 KB Output is correct
7 Correct 41 ms 12376 KB Output is correct
8 Correct 40 ms 12368 KB Output is correct
9 Correct 41 ms 12368 KB Output is correct
10 Correct 41 ms 12368 KB Output is correct
11 Correct 38 ms 10584 KB Output is correct
12 Correct 44 ms 10844 KB Output is correct
13 Correct 38 ms 10596 KB Output is correct
14 Correct 35 ms 10840 KB Output is correct
15 Correct 45 ms 12372 KB Output is correct
16 Correct 39 ms 10588 KB Output is correct
17 Correct 35 ms 10948 KB Output is correct
18 Correct 48 ms 12628 KB Output is correct
19 Correct 46 ms 12368 KB Output is correct
20 Correct 43 ms 10932 KB Output is correct
21 Correct 67 ms 12632 KB Output is correct
22 Correct 62 ms 12636 KB Output is correct
23 Correct 64 ms 12612 KB Output is correct
24 Correct 64 ms 12628 KB Output is correct
25 Correct 61 ms 12628 KB Output is correct
26 Correct 62 ms 12632 KB Output is correct
27 Correct 73 ms 12844 KB Output is correct
28 Correct 71 ms 12628 KB Output is correct
29 Correct 62 ms 12624 KB Output is correct
30 Correct 66 ms 12840 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2512 KB Output is correct
35 Correct 0 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 0 ms 2396 KB Output is correct
40 Correct 0 ms 2392 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 0 ms 2396 KB Output is correct
43 Correct 0 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 0 ms 2512 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 0 ms 2396 KB Output is correct
50 Correct 1 ms 2392 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2392 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2392 KB Output is correct
61 Correct 91 ms 12636 KB Output is correct
62 Correct 94 ms 12888 KB Output is correct
63 Correct 76 ms 12372 KB Output is correct
64 Correct 93 ms 12804 KB Output is correct
65 Correct 94 ms 12800 KB Output is correct
66 Correct 94 ms 12680 KB Output is correct
67 Correct 92 ms 12372 KB Output is correct
68 Correct 63 ms 12628 KB Output is correct
69 Correct 63 ms 12632 KB Output is correct
70 Correct 62 ms 12372 KB Output is correct