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Submission #853919

# Submission time Handle Problem Language Result Execution time Memory
853919 2023-09-25T13:47:34 Z annabeth9680 Discharging (NOI20_discharging) C++17
100 / 100
 98 ms 29008 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int MAXN = 1e6+11;
int arr[MAXN], dp[MAXN], A[MAXN], B[MAXN];
int L,R;
int teil(int a, int b){
    return a/b-(a % b != 0 && a < 0);
}
int steigung(int a1, int b1, int a2, int b2){
    return teil(b2-b1,a1-a2);
}
void upd(int i, int x){
    while(R-L >= 2 && steigung(A[R-2],B[R-2],i,x) <= steigung(A[R-2],B[R-2],A[R-1],B[R-1])) R--;
    A[R] = i; B[R] = x; R++;
}
int query(int x){
    while(R-L >= 2 && A[L]*x+B[L] >= A[L+1]*x+B[L+1]) L++;
	return A[L]*x+B[L];
}
int32_t main()
{
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    int N; cin >> N;
    for(int i = 0;i<N;++i) cin >> arr[i];
    for(int i = 1;i<N;++i) arr[i] = max(arr[i],arr[i-1]);
    memset(dp,0x3f,sizeof(dp)); dp[0] = 0;
    for(int i = 0;i<N;++i){
        upd(-i, dp[i]);
        dp[i+1] = arr[i]*N+query(arr[i]);
    }
    cout << dp[N] << "\n";
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12760 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12752 KB Output is correct
6 Correct 2 ms 12760 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12772 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12632 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12792 KB Output is correct
13 Correct 2 ms 12636 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12760 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12772 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12632 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12792 KB Output is correct
13 Correct 2 ms 12636 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12760 KB Output is correct
16 Correct 82 ms 24404 KB Output is correct
17 Correct 90 ms 25124 KB Output is correct
18 Correct 75 ms 23484 KB Output is correct
19 Correct 88 ms 24916 KB Output is correct
20 Correct 86 ms 24904 KB Output is correct
21 Correct 90 ms 25112 KB Output is correct
22 Correct 84 ms 24636 KB Output is correct
23 Correct 97 ms 25684 KB Output is correct
24 Correct 90 ms 25028 KB Output is correct
25 Correct 93 ms 25424 KB Output is correct
26 Correct 95 ms 25688 KB Output is correct
27 Correct 88 ms 24324 KB Output is correct
28 Correct 98 ms 25432 KB Output is correct
29 Correct 96 ms 25144 KB Output is correct
30 Correct 92 ms 25536 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 94 ms 28760 KB Output is correct
2 Correct 95 ms 28728 KB Output is correct
3 Correct 95 ms 29008 KB Output is correct
4 Correct 94 ms 28736 KB Output is correct
5 Correct 94 ms 28856 KB Output is correct
6 Correct 95 ms 28856 KB Output is correct
7 Correct 94 ms 28752 KB Output is correct
8 Correct 98 ms 28724 KB Output is correct
9 Correct 95 ms 28756 KB Output is correct
10 Correct 94 ms 28752 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12760 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12752 KB Output is correct
6 Correct 2 ms 12760 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12632 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 2 ms 12636 KB Output is correct
18 Correct 2 ms 12636 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 2 ms 12772 KB Output is correct
21 Correct 2 ms 12632 KB Output is correct
22 Correct 2 ms 12636 KB Output is correct
23 Correct 2 ms 12632 KB Output is correct
24 Correct 2 ms 12636 KB Output is correct
25 Correct 2 ms 12636 KB Output is correct
26 Correct 2 ms 12792 KB Output is correct
27 Correct 2 ms 12636 KB Output is correct
28 Correct 2 ms 12636 KB Output is correct
29 Correct 2 ms 12760 KB Output is correct
30 Correct 2 ms 12636 KB Output is correct
31 Correct 2 ms 12636 KB Output is correct
32 Correct 2 ms 12632 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 2 ms 12636 KB Output is correct
35 Correct 2 ms 12636 KB Output is correct
36 Correct 2 ms 12636 KB Output is correct
37 Correct 2 ms 12760 KB Output is correct
38 Correct 2 ms 12636 KB Output is correct
39 Correct 2 ms 12784 KB Output is correct
40 Correct 2 ms 12636 KB Output is correct
41 Correct 2 ms 12784 KB Output is correct
42 Correct 2 ms 12636 KB Output is correct
43 Correct 2 ms 12636 KB Output is correct
44 Correct 3 ms 12636 KB Output is correct
45 Correct 2 ms 12888 KB Output is correct
46 Correct 2 ms 12636 KB Output is correct
47 Correct 2 ms 12636 KB Output is correct
48 Correct 2 ms 12636 KB Output is correct
49 Correct 2 ms 12636 KB Output is correct
50 Correct 2 ms 12636 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12760 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12752 KB Output is correct
6 Correct 2 ms 12760 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12632 KB Output is correct
13 Correct 2 ms 12632 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12632 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 2 ms 12636 KB Output is correct
18 Correct 2 ms 12636 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 2 ms 12772 KB Output is correct
21 Correct 2 ms 12632 KB Output is correct
22 Correct 2 ms 12636 KB Output is correct
23 Correct 2 ms 12632 KB Output is correct
24 Correct 2 ms 12636 KB Output is correct
25 Correct 2 ms 12636 KB Output is correct
26 Correct 2 ms 12792 KB Output is correct
27 Correct 2 ms 12636 KB Output is correct
28 Correct 2 ms 12636 KB Output is correct
29 Correct 2 ms 12760 KB Output is correct
30 Correct 82 ms 24404 KB Output is correct
31 Correct 90 ms 25124 KB Output is correct
32 Correct 75 ms 23484 KB Output is correct
33 Correct 88 ms 24916 KB Output is correct
34 Correct 86 ms 24904 KB Output is correct
35 Correct 90 ms 25112 KB Output is correct
36 Correct 84 ms 24636 KB Output is correct
37 Correct 97 ms 25684 KB Output is correct
38 Correct 90 ms 25028 KB Output is correct
39 Correct 93 ms 25424 KB Output is correct
40 Correct 95 ms 25688 KB Output is correct
41 Correct 88 ms 24324 KB Output is correct
42 Correct 98 ms 25432 KB Output is correct
43 Correct 96 ms 25144 KB Output is correct
44 Correct 92 ms 25536 KB Output is correct
45 Correct 94 ms 28760 KB Output is correct
46 Correct 95 ms 28728 KB Output is correct
47 Correct 95 ms 29008 KB Output is correct
48 Correct 94 ms 28736 KB Output is correct
49 Correct 94 ms 28856 KB Output is correct
50 Correct 95 ms 28856 KB Output is correct
51 Correct 94 ms 28752 KB Output is correct
52 Correct 98 ms 28724 KB Output is correct
53 Correct 95 ms 28756 KB Output is correct
54 Correct 94 ms 28752 KB Output is correct
55 Correct 2 ms 12636 KB Output is correct
56 Correct 2 ms 12636 KB Output is correct
57 Correct 2 ms 12632 KB Output is correct
58 Correct 2 ms 12636 KB Output is correct
59 Correct 2 ms 12636 KB Output is correct
60 Correct 2 ms 12636 KB Output is correct
61 Correct 2 ms 12636 KB Output is correct
62 Correct 2 ms 12760 KB Output is correct
63 Correct 2 ms 12636 KB Output is correct
64 Correct 2 ms 12784 KB Output is correct
65 Correct 2 ms 12636 KB Output is correct
66 Correct 2 ms 12784 KB Output is correct
67 Correct 2 ms 12636 KB Output is correct
68 Correct 2 ms 12636 KB Output is correct
69 Correct 3 ms 12636 KB Output is correct
70 Correct 2 ms 12888 KB Output is correct
71 Correct 2 ms 12636 KB Output is correct
72 Correct 2 ms 12636 KB Output is correct
73 Correct 2 ms 12636 KB Output is correct
74 Correct 2 ms 12636 KB Output is correct
75 Correct 2 ms 12636 KB Output is correct
76 Correct 88 ms 25036 KB Output is correct
77 Correct 86 ms 25152 KB Output is correct
78 Correct 86 ms 24656 KB Output is correct
79 Correct 84 ms 24916 KB Output is correct
80 Correct 93 ms 25668 KB Output is correct
81 Correct 82 ms 24804 KB Output is correct
82 Correct 83 ms 24656 KB Output is correct
83 Correct 88 ms 25148 KB Output is correct
84 Correct 87 ms 24916 KB Output is correct
85 Correct 87 ms 25172 KB Output is correct
86 Correct 83 ms 24716 KB Output is correct
87 Correct 84 ms 24384 KB Output is correct
88 Correct 87 ms 24892 KB Output is correct
89 Correct 86 ms 24764 KB Output is correct
90 Correct 84 ms 24660 KB Output is correct
91 Correct 80 ms 24656 KB Output is correct
92 Correct 94 ms 25684 KB Output is correct
93 Correct 90 ms 25392 KB Output is correct
94 Correct 81 ms 24116 KB Output is correct
95 Correct 88 ms 25432 KB Output is correct
96 Correct 83 ms 24404 KB Output is correct
97 Correct 83 ms 24656 KB Output is correct
98 Correct 84 ms 24912 KB Output is correct
99 Correct 83 ms 24660 KB Output is correct
100 Correct 84 ms 24760 KB Output is correct