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Submission #674767

# Submission time Handle Problem Language Result Execution time Memory
674767 2022-12-26T07:34:32 Z QwertyPi Feast (NOI19_feast) C++14
100 / 100
 288 ms 15156 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
 
const int MAXN = 3e5 + 11;
int a[MAXN], dp[MAXN], dp2[MAXN], c[MAXN], c2[MAXN];
 
int32_t main(){
	int n, k; cin >> n >> k;
	for(int i = 0; i < n; i++){
		cin >> a[i];
	}
	
	auto test = [&n](int C) {
		fill(dp, dp + MAXN, -(1LL << 60));
		fill(dp2, dp2 + MAXN, -(1LL << 60));
		fill(c, c + MAXN, 0);
		fill(c2, c2 + MAXN, 0);
		dp[0] = -(1LL << 60), dp2[0] = 0;
		for(int j = 0; j < n; j++){
			if(dp2[j - 1] + a[j] - C >= dp[j] + a[j]){
				dp[j + 1] = dp2[j - 1] + a[j] - C;
				c[j + 1] = c2[j - 1] + 1;
			}else{
				dp[j + 1] = dp[j] + a[j]; 
				c[j + 1] = c[j];
			}
			if(dp2[j] >= dp[j + 1]){
				dp2[j + 1] = dp2[j];
				c2[j + 1] = c2[j];
			}else{
				dp2[j + 1] = dp[j + 1];
				c2[j + 1] = c[j + 1];
			}
		}
	};
	
	int l = 0, r = (1LL << 60);
	while(l + 1 != r){
		int mid = (l + r) / 2;
		test(mid);
		if(c2[n] > k){
			l = mid;
		}else{
			r = mid;
		}
	}
	test(l); int v1 = dp2[n] + l * c2[n], k1 = c2[n];
	test(r); int v2 = dp2[n] + r * c2[n], k2 = c2[n];
	cout << v1 + (k1 != k2 ? (v2 - v1) / (k2 - k1) * (k - k1) : 0) << endl; 
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 11948 KB Output is correct
2 Correct 212 ms 11932 KB Output is correct
3 Correct 205 ms 12020 KB Output is correct
4 Correct 199 ms 12004 KB Output is correct
5 Correct 222 ms 11964 KB Output is correct
6 Correct 201 ms 11920 KB Output is correct
7 Correct 201 ms 11868 KB Output is correct
8 Correct 208 ms 12004 KB Output is correct
9 Correct 199 ms 11884 KB Output is correct
10 Correct 214 ms 12012 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 148 ms 12044 KB Output is correct
2 Correct 191 ms 12012 KB Output is correct
3 Correct 145 ms 11876 KB Output is correct
4 Correct 159 ms 11984 KB Output is correct
5 Correct 202 ms 11952 KB Output is correct
6 Correct 154 ms 11856 KB Output is correct
7 Correct 159 ms 12036 KB Output is correct
8 Correct 230 ms 12016 KB Output is correct
9 Correct 202 ms 11860 KB Output is correct
10 Correct 161 ms 11900 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 11996 KB Output is correct
2 Correct 249 ms 14868 KB Output is correct
3 Correct 231 ms 15032 KB Output is correct
4 Correct 228 ms 15052 KB Output is correct
5 Correct 224 ms 14988 KB Output is correct
6 Correct 229 ms 15052 KB Output is correct
7 Correct 238 ms 15156 KB Output is correct
8 Correct 240 ms 14924 KB Output is correct
9 Correct 245 ms 15100 KB Output is correct
10 Correct 235 ms 15056 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 9684 KB Output is correct
2 Correct 81 ms 9684 KB Output is correct
3 Correct 65 ms 9684 KB Output is correct
4 Correct 58 ms 9684 KB Output is correct
5 Correct 69 ms 9684 KB Output is correct
6 Correct 64 ms 9684 KB Output is correct
7 Correct 60 ms 9688 KB Output is correct
8 Correct 69 ms 9688 KB Output is correct
9 Correct 67 ms 9684 KB Output is correct
10 Correct 63 ms 9684 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 9684 KB Output is correct
2 Correct 81 ms 9684 KB Output is correct
3 Correct 65 ms 9684 KB Output is correct
4 Correct 58 ms 9684 KB Output is correct
5 Correct 69 ms 9684 KB Output is correct
6 Correct 64 ms 9684 KB Output is correct
7 Correct 60 ms 9688 KB Output is correct
8 Correct 69 ms 9688 KB Output is correct
9 Correct 67 ms 9684 KB Output is correct
10 Correct 63 ms 9684 KB Output is correct
11 Correct 56 ms 9688 KB Output is correct
12 Correct 57 ms 9680 KB Output is correct
13 Correct 55 ms 9680 KB Output is correct
14 Correct 67 ms 9684 KB Output is correct
15 Correct 54 ms 9684 KB Output is correct
16 Correct 57 ms 9684 KB Output is correct
17 Correct 52 ms 9684 KB Output is correct
18 Correct 57 ms 9684 KB Output is correct
19 Correct 62 ms 9684 KB Output is correct
20 Correct 66 ms 9692 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 9684 KB Output is correct
2 Correct 81 ms 9684 KB Output is correct
3 Correct 65 ms 9684 KB Output is correct
4 Correct 58 ms 9684 KB Output is correct
5 Correct 69 ms 9684 KB Output is correct
6 Correct 64 ms 9684 KB Output is correct
7 Correct 60 ms 9688 KB Output is correct
8 Correct 69 ms 9688 KB Output is correct
9 Correct 67 ms 9684 KB Output is correct
10 Correct 63 ms 9684 KB Output is correct
11 Correct 56 ms 9688 KB Output is correct
12 Correct 57 ms 9680 KB Output is correct
13 Correct 55 ms 9680 KB Output is correct
14 Correct 67 ms 9684 KB Output is correct
15 Correct 54 ms 9684 KB Output is correct
16 Correct 57 ms 9684 KB Output is correct
17 Correct 52 ms 9684 KB Output is correct
18 Correct 57 ms 9684 KB Output is correct
19 Correct 62 ms 9684 KB Output is correct
20 Correct 66 ms 9692 KB Output is correct
21 Correct 56 ms 9712 KB Output is correct
22 Correct 57 ms 9684 KB Output is correct
23 Correct 64 ms 9716 KB Output is correct
24 Correct 61 ms 9712 KB Output is correct
25 Correct 63 ms 9732 KB Output is correct
26 Correct 54 ms 9684 KB Output is correct
27 Correct 66 ms 9804 KB Output is correct
28 Correct 58 ms 9684 KB Output is correct
29 Correct 53 ms 9660 KB Output is correct
30 Correct 56 ms 9708 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 11948 KB Output is correct
2 Correct 212 ms 11932 KB Output is correct
3 Correct 205 ms 12020 KB Output is correct
4 Correct 199 ms 12004 KB Output is correct
5 Correct 222 ms 11964 KB Output is correct
6 Correct 201 ms 11920 KB Output is correct
7 Correct 201 ms 11868 KB Output is correct
8 Correct 208 ms 12004 KB Output is correct
9 Correct 199 ms 11884 KB Output is correct
10 Correct 214 ms 12012 KB Output is correct
11 Correct 148 ms 12044 KB Output is correct
12 Correct 191 ms 12012 KB Output is correct
13 Correct 145 ms 11876 KB Output is correct
14 Correct 159 ms 11984 KB Output is correct
15 Correct 202 ms 11952 KB Output is correct
16 Correct 154 ms 11856 KB Output is correct
17 Correct 159 ms 12036 KB Output is correct
18 Correct 230 ms 12016 KB Output is correct
19 Correct 202 ms 11860 KB Output is correct
20 Correct 161 ms 11900 KB Output is correct
21 Correct 230 ms 11996 KB Output is correct
22 Correct 249 ms 14868 KB Output is correct
23 Correct 231 ms 15032 KB Output is correct
24 Correct 228 ms 15052 KB Output is correct
25 Correct 224 ms 14988 KB Output is correct
26 Correct 229 ms 15052 KB Output is correct
27 Correct 238 ms 15156 KB Output is correct
28 Correct 240 ms 14924 KB Output is correct
29 Correct 245 ms 15100 KB Output is correct
30 Correct 235 ms 15056 KB Output is correct
31 Correct 57 ms 9684 KB Output is correct
32 Correct 81 ms 9684 KB Output is correct
33 Correct 65 ms 9684 KB Output is correct
34 Correct 58 ms 9684 KB Output is correct
35 Correct 69 ms 9684 KB Output is correct
36 Correct 64 ms 9684 KB Output is correct
37 Correct 60 ms 9688 KB Output is correct
38 Correct 69 ms 9688 KB Output is correct
39 Correct 67 ms 9684 KB Output is correct
40 Correct 63 ms 9684 KB Output is correct
41 Correct 56 ms 9688 KB Output is correct
42 Correct 57 ms 9680 KB Output is correct
43 Correct 55 ms 9680 KB Output is correct
44 Correct 67 ms 9684 KB Output is correct
45 Correct 54 ms 9684 KB Output is correct
46 Correct 57 ms 9684 KB Output is correct
47 Correct 52 ms 9684 KB Output is correct
48 Correct 57 ms 9684 KB Output is correct
49 Correct 62 ms 9684 KB Output is correct
50 Correct 66 ms 9692 KB Output is correct
51 Correct 56 ms 9712 KB Output is correct
52 Correct 57 ms 9684 KB Output is correct
53 Correct 64 ms 9716 KB Output is correct
54 Correct 61 ms 9712 KB Output is correct
55 Correct 63 ms 9732 KB Output is correct
56 Correct 54 ms 9684 KB Output is correct
57 Correct 66 ms 9804 KB Output is correct
58 Correct 58 ms 9684 KB Output is correct
59 Correct 53 ms 9660 KB Output is correct
60 Correct 56 ms 9708 KB Output is correct
61 Correct 276 ms 14924 KB Output is correct
62 Correct 274 ms 15044 KB Output is correct
63 Correct 250 ms 14936 KB Output is correct
64 Correct 282 ms 15108 KB Output is correct
65 Correct 273 ms 15028 KB Output is correct
66 Correct 265 ms 14928 KB Output is correct
67 Correct 288 ms 14876 KB Output is correct
68 Correct 228 ms 15040 KB Output is correct
69 Correct 226 ms 14932 KB Output is correct
70 Correct 246 ms 14908 KB Output is correct