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Submission #787955

# Submission time Handle Problem Language Result Execution time Memory
787955 2023-07-19T15:16:49 Z ttamx Feast (NOI19_feast) C++14
100 / 100
 112 ms 12756 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});
    }
    dp[n].second*=-1;
    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+1;
    while(l<r){
        ll m=(l+r)/2;
        if(calc(m).second<=k)r=m;
        else l=m+1;
    }
    cout << calc(l).first+l*k;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 9404 KB Output is correct
2 Correct 52 ms 12440 KB Output is correct
3 Correct 48 ms 12480 KB Output is correct
4 Correct 50 ms 12436 KB Output is correct
5 Correct 48 ms 12408 KB Output is correct
6 Correct 47 ms 12232 KB Output is correct
7 Correct 53 ms 12308 KB Output is correct
8 Correct 53 ms 12464 KB Output is correct
9 Correct 47 ms 12236 KB Output is correct
10 Correct 47 ms 12368 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 9484 KB Output is correct
2 Correct 49 ms 9628 KB Output is correct
3 Correct 44 ms 9472 KB Output is correct
4 Correct 42 ms 9464 KB Output is correct
5 Correct 47 ms 12236 KB Output is correct
6 Correct 47 ms 10580 KB Output is correct
7 Correct 48 ms 10840 KB Output is correct
8 Correct 47 ms 12516 KB Output is correct
9 Correct 44 ms 12108 KB Output is correct
10 Correct 44 ms 10752 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 9720 KB Output is correct
2 Correct 74 ms 9476 KB Output is correct
3 Correct 73 ms 9448 KB Output is correct
4 Correct 72 ms 9460 KB Output is correct
5 Correct 73 ms 9572 KB Output is correct
6 Correct 76 ms 9644 KB Output is correct
7 Correct 74 ms 9656 KB Output is correct
8 Correct 74 ms 9564 KB Output is correct
9 Correct 75 ms 9684 KB Output is correct
10 Correct 76 ms 9656 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 232 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 232 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 232 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 9404 KB Output is correct
2 Correct 52 ms 12440 KB Output is correct
3 Correct 48 ms 12480 KB Output is correct
4 Correct 50 ms 12436 KB Output is correct
5 Correct 48 ms 12408 KB Output is correct
6 Correct 47 ms 12232 KB Output is correct
7 Correct 53 ms 12308 KB Output is correct
8 Correct 53 ms 12464 KB Output is correct
9 Correct 47 ms 12236 KB Output is correct
10 Correct 47 ms 12368 KB Output is correct
11 Correct 49 ms 9484 KB Output is correct
12 Correct 49 ms 9628 KB Output is correct
13 Correct 44 ms 9472 KB Output is correct
14 Correct 42 ms 9464 KB Output is correct
15 Correct 47 ms 12236 KB Output is correct
16 Correct 47 ms 10580 KB Output is correct
17 Correct 48 ms 10840 KB Output is correct
18 Correct 47 ms 12516 KB Output is correct
19 Correct 44 ms 12108 KB Output is correct
20 Correct 44 ms 10752 KB Output is correct
21 Correct 84 ms 9720 KB Output is correct
22 Correct 74 ms 9476 KB Output is correct
23 Correct 73 ms 9448 KB Output is correct
24 Correct 72 ms 9460 KB Output is correct
25 Correct 73 ms 9572 KB Output is correct
26 Correct 76 ms 9644 KB Output is correct
27 Correct 74 ms 9656 KB Output is correct
28 Correct 74 ms 9564 KB Output is correct
29 Correct 75 ms 9684 KB Output is correct
30 Correct 76 ms 9656 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 232 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 0 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 0 ms 340 KB Output is correct
49 Correct 0 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 104 ms 12464 KB Output is correct
62 Correct 108 ms 12756 KB Output is correct
63 Correct 87 ms 12316 KB Output is correct
64 Correct 107 ms 12632 KB Output is correct
65 Correct 112 ms 12632 KB Output is correct
66 Correct 106 ms 12572 KB Output is correct
67 Correct 104 ms 12428 KB Output is correct
68 Correct 76 ms 12616 KB Output is correct
69 Correct 75 ms 12428 KB Output is correct
70 Correct 75 ms 12364 KB Output is correct