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Submission #409523

# Submission time Handle Problem Language Result Execution time Memory
409523 2021-05-21T03:22:02 Z penguinhacker Feast (NOI19_feast) C++14
100 / 100
 157 ms 8064 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

const int mxN=3e5;
int n, k, a[mxN], cnt[mxN];
ll dp[mxN];

int solve(ll x) {
	ll s=0;
	ar<ll, 2> cur={0, 0};
	for (int i=0; i<n; ++i) {
		s+=a[i];
		dp[i]=i?dp[i-1]:0;
		cnt[i]=i?cnt[i-1]:0;
		if (cur[0]+s-x>dp[i])
			dp[i]=cur[0]+s-x, cnt[i]=cur[1]+1;
		if (dp[i]-s>cur[0])
			cur={dp[i]-s, cnt[i]};
	}
	return cnt[n-1];
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	for (int i=0; i<n; ++i)
		cin >> a[i];
	ll lb=0, rb=1e15;
	while(lb<rb) {
		ll m=(lb+rb)/2;
		if (solve(m)<=k)
			rb=m;
		else
			lb=m+1;
	}
	solve(lb);
	cout << dp[n-1]+k*lb;
	return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 4860 KB Output is correct
2 Correct 79 ms 7768 KB Output is correct
3 Correct 79 ms 7868 KB Output is correct
4 Correct 85 ms 7908 KB Output is correct
5 Correct 92 ms 7788 KB Output is correct
6 Correct 82 ms 7620 KB Output is correct
7 Correct 77 ms 7660 KB Output is correct
8 Correct 79 ms 7732 KB Output is correct
9 Correct 77 ms 7628 KB Output is correct
10 Correct 83 ms 7620 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 4932 KB Output is correct
2 Correct 71 ms 6068 KB Output is correct
3 Correct 70 ms 5992 KB Output is correct
4 Correct 69 ms 6044 KB Output is correct
5 Correct 80 ms 7656 KB Output is correct
6 Correct 70 ms 5988 KB Output is correct
7 Correct 73 ms 6132 KB Output is correct
8 Correct 79 ms 7748 KB Output is correct
9 Correct 78 ms 7620 KB Output is correct
10 Correct 69 ms 5984 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 4944 KB Output is correct
2 Correct 108 ms 7876 KB Output is correct
3 Correct 107 ms 7920 KB Output is correct
4 Correct 104 ms 7876 KB Output is correct
5 Correct 106 ms 8044 KB Output is correct
6 Correct 107 ms 7992 KB Output is correct
7 Correct 108 ms 8000 KB Output is correct
8 Correct 105 ms 7876 KB Output is correct
9 Correct 107 ms 7992 KB Output is correct
10 Correct 108 ms 7932 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 2 ms 332 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 2 ms 328 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 2 ms 332 KB Output is correct
29 Correct 2 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 4860 KB Output is correct
2 Correct 79 ms 7768 KB Output is correct
3 Correct 79 ms 7868 KB Output is correct
4 Correct 85 ms 7908 KB Output is correct
5 Correct 92 ms 7788 KB Output is correct
6 Correct 82 ms 7620 KB Output is correct
7 Correct 77 ms 7660 KB Output is correct
8 Correct 79 ms 7732 KB Output is correct
9 Correct 77 ms 7628 KB Output is correct
10 Correct 83 ms 7620 KB Output is correct
11 Correct 71 ms 4932 KB Output is correct
12 Correct 71 ms 6068 KB Output is correct
13 Correct 70 ms 5992 KB Output is correct
14 Correct 69 ms 6044 KB Output is correct
15 Correct 80 ms 7656 KB Output is correct
16 Correct 70 ms 5988 KB Output is correct
17 Correct 73 ms 6132 KB Output is correct
18 Correct 79 ms 7748 KB Output is correct
19 Correct 78 ms 7620 KB Output is correct
20 Correct 69 ms 5984 KB Output is correct
21 Correct 107 ms 4944 KB Output is correct
22 Correct 108 ms 7876 KB Output is correct
23 Correct 107 ms 7920 KB Output is correct
24 Correct 104 ms 7876 KB Output is correct
25 Correct 106 ms 8044 KB Output is correct
26 Correct 107 ms 7992 KB Output is correct
27 Correct 108 ms 8000 KB Output is correct
28 Correct 105 ms 7876 KB Output is correct
29 Correct 107 ms 7992 KB Output is correct
30 Correct 108 ms 7932 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 320 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 320 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 2 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct
51 Correct 2 ms 332 KB Output is correct
52 Correct 2 ms 332 KB Output is correct
53 Correct 2 ms 332 KB Output is correct
54 Correct 2 ms 332 KB Output is correct
55 Correct 2 ms 332 KB Output is correct
56 Correct 2 ms 328 KB Output is correct
57 Correct 2 ms 332 KB Output is correct
58 Correct 2 ms 332 KB Output is correct
59 Correct 2 ms 332 KB Output is correct
60 Correct 2 ms 332 KB Output is correct
61 Correct 151 ms 7856 KB Output is correct
62 Correct 147 ms 8048 KB Output is correct
63 Correct 137 ms 7836 KB Output is correct
64 Correct 153 ms 8028 KB Output is correct
65 Correct 155 ms 7920 KB Output is correct
66 Correct 157 ms 8064 KB Output is correct
67 Correct 153 ms 7748 KB Output is correct
68 Correct 108 ms 7984 KB Output is correct
69 Correct 106 ms 7956 KB Output is correct
70 Correct 108 ms 7912 KB Output is correct