답안 #853919

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
853919	2023-09-25T13:47:34 Z	annabeth9680	Discharging (NOI20_discharging)	C++17	100 / 100	98 ms	29008 KB

Discharging

#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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

답안 #853919

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 13.0 / 13.0

Subtask #3 25.0 / 25.0

Subtask #4 11.0 / 11.0

Subtask #5 14.0 / 14.0

Subtask #6 28.0 / 28.0

Subtask #1
9.0 / 9.0

Subtask #2
13.0 / 13.0

Subtask #3
25.0 / 25.0

Subtask #4
11.0 / 11.0

Subtask #5
14.0 / 14.0

Subtask #6
28.0 / 28.0