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Submission #1017536

# Submission time Handle Problem Language Result Execution time Memory
1017536 2024-07-09T08:42:53 Z vjudge1 Feast (NOI19_feast) C++17
100 / 100
 118 ms 15188 KB 
#include<bits/stdc++.h>
using namespace std;
#ifdef ONPC
#include"debug.h"
#else
#define debug(...) 42
#endif
#define endl '\n'
#define ll long long
#define pii pair<int,int>
#define F first
#define S second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
#define int long long
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
const int mod = 1e9 + 7;
const int MAXN = 1e6 + 15;
const int inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
int a[MAXN], n, k;
pair<ll, int> dp[MAXN][2];
pii solve(ll lampda){
	dp[0][1] = {-lampda, 1};
	dp[0][0] = {0, 0};
	for (int i = 1; i <= n; i++){
		dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
		dp[i][1] = max(make_pair(dp[i - 1][0].F + a[i] - lampda, dp[i - 1][0].S + 1), 
				make_pair(dp[i - 1][1].F + a[i], dp[i - 1][1].S));
	}
	return max(dp[n][0], dp[n][1]);
}

int32_t main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	for (int i = 1; i <= n; i++){
		cin >> a[i];
	}
	ll lo = 0, hi = 1e18;
	while (hi - lo > 1){
		ll mi = (lo + hi) >> 1;
		if (solve(mi).second >= k){
			lo = mi;
		} else {
			hi = mi;
		}
	}
	cout << solve(lo).F + k * lo;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 14464 KB Output is correct
2 Correct 90 ms 14840 KB Output is correct
3 Correct 58 ms 14928 KB Output is correct
4 Correct 59 ms 14932 KB Output is correct
5 Correct 57 ms 14928 KB Output is correct
6 Correct 56 ms 14416 KB Output is correct
7 Correct 57 ms 14424 KB Output is correct
8 Correct 63 ms 14752 KB Output is correct
9 Correct 56 ms 14660 KB Output is correct
10 Correct 78 ms 14676 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 12880 KB Output is correct
2 Correct 53 ms 13308 KB Output is correct
3 Correct 49 ms 12888 KB Output is correct
4 Correct 49 ms 12892 KB Output is correct
5 Correct 58 ms 14424 KB Output is correct
6 Correct 49 ms 12936 KB Output is correct
7 Correct 59 ms 13144 KB Output is correct
8 Correct 58 ms 14928 KB Output is correct
9 Correct 60 ms 14412 KB Output is correct
10 Correct 50 ms 13076 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 14992 KB Output is correct
2 Correct 85 ms 14672 KB Output is correct
3 Correct 83 ms 14932 KB Output is correct
4 Correct 87 ms 14676 KB Output is correct
5 Correct 113 ms 14960 KB Output is correct
6 Correct 83 ms 14928 KB Output is correct
7 Correct 84 ms 14928 KB Output is correct
8 Correct 82 ms 15032 KB Output is correct
9 Correct 90 ms 15188 KB Output is correct
10 Correct 83 ms 14940 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 472 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 472 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 480 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 14464 KB Output is correct
2 Correct 90 ms 14840 KB Output is correct
3 Correct 58 ms 14928 KB Output is correct
4 Correct 59 ms 14932 KB Output is correct
5 Correct 57 ms 14928 KB Output is correct
6 Correct 56 ms 14416 KB Output is correct
7 Correct 57 ms 14424 KB Output is correct
8 Correct 63 ms 14752 KB Output is correct
9 Correct 56 ms 14660 KB Output is correct
10 Correct 78 ms 14676 KB Output is correct
11 Correct 49 ms 12880 KB Output is correct
12 Correct 53 ms 13308 KB Output is correct
13 Correct 49 ms 12888 KB Output is correct
14 Correct 49 ms 12892 KB Output is correct
15 Correct 58 ms 14424 KB Output is correct
16 Correct 49 ms 12936 KB Output is correct
17 Correct 59 ms 13144 KB Output is correct
18 Correct 58 ms 14928 KB Output is correct
19 Correct 60 ms 14412 KB Output is correct
20 Correct 50 ms 13076 KB Output is correct
21 Correct 108 ms 14992 KB Output is correct
22 Correct 85 ms 14672 KB Output is correct
23 Correct 83 ms 14932 KB Output is correct
24 Correct 87 ms 14676 KB Output is correct
25 Correct 113 ms 14960 KB Output is correct
26 Correct 83 ms 14928 KB Output is correct
27 Correct 84 ms 14928 KB Output is correct
28 Correct 82 ms 15032 KB Output is correct
29 Correct 90 ms 15188 KB Output is correct
30 Correct 83 ms 14940 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 600 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 600 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 472 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 1 ms 480 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 344 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 113 ms 14676 KB Output is correct
62 Correct 113 ms 15184 KB Output is correct
63 Correct 96 ms 14672 KB Output is correct
64 Correct 118 ms 14928 KB Output is correct
65 Correct 117 ms 14936 KB Output is correct
66 Correct 118 ms 14940 KB Output is correct
67 Correct 117 ms 14856 KB Output is correct
68 Correct 85 ms 14912 KB Output is correct
69 Correct 87 ms 14760 KB Output is correct
70 Correct 112 ms 14664 KB Output is correct