답안 #1099485

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1099485	2024-10-11T12:04:14 Z	NoMercy	Discharging (NOI20_discharging)	C++14	100 / 100	87 ms	23952 KB

Discharging

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const int MAXN = 1e6 + 55;

ll dp[MAXN], T[MAXN];

ll f (array<ll, 2> line, ll x) {
	return line[0] * x + line[1];
}
long double inters (array<ll, 2> line1, array<ll, 2> line2) {
	return (line2[1] - line1[1]) / (line1[0] - line2[0]);
}
struct Hull {
	deque<array<ll, 2>> dq;
	ll query (ll x) {
		while ((int)dq.size() > 1 && f(dq[0], x) > f(dq[1], x)) dq.pop_front();
		return f(dq[0], x);
	}
	void insert (array<ll, 2> line) {
		while (dq.size() > 1 && inters(line, dq.back()) <= inters(line, dq[dq.size() - 2])) dq.pop_back();
		dq.push_back(line);
	}
};

int32_t main () {

    ios_base::sync_with_stdio(0); 
    cin.tie(0); 
    cout.tie(0); 

    int N;
    cin >> N;
	for (int i = 1;i <= N;i ++) {
        cin >> T[i];
    }

    Hull hl;
	ll mx = 1, ind = 1;
	for (int i = 1;i <= N;i ++) {
		if (T[i] >= T[mx]) {
            mx = i;
        }
		while (ind <= mx){
			hl.insert({-1LL * ind, dp[ind - 1]});
			ind ++;
		}
		if (i > 1) {
            dp[i] = min(T[mx] * N, hl.query(T[mx]) + T[mx] * (N + 1));
        } else {
            dp[i] = T[1] * N;
        }
	}
	cout << dp[N] << "\n";
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	348 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	348 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	1 ms	352 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	600 KB	Output is correct
13	Correct	1 ms	352 KB	Output is correct
14	Correct	0 ms	352 KB	Output is correct

Subtask #2
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	356 KB	Output is correct
2	Correct	1 ms	352 KB	Output is correct
3	Correct	0 ms	516 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	356 KB	Output is correct
6	Correct	1 ms	476 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	1 ms	348 KB	Output is correct
10	Correct	1 ms	356 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	352 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct

Subtask #3
25.0 / 25.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	356 KB	Output is correct
2	Correct	1 ms	352 KB	Output is correct
3	Correct	0 ms	516 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	356 KB	Output is correct
6	Correct	1 ms	476 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	1 ms	348 KB	Output is correct
10	Correct	1 ms	356 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	352 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	81 ms	21128 KB	Output is correct
17	Correct	77 ms	21844 KB	Output is correct
18	Correct	73 ms	20348 KB	Output is correct
19	Correct	86 ms	21720 KB	Output is correct
20	Correct	78 ms	21520 KB	Output is correct
21	Correct	86 ms	21688 KB	Output is correct
22	Correct	73 ms	21328 KB	Output is correct
23	Correct	77 ms	22424 KB	Output is correct
24	Correct	71 ms	21744 KB	Output is correct
25	Correct	74 ms	22352 KB	Output is correct
26	Correct	75 ms	22724 KB	Output is correct
27	Correct	73 ms	21076 KB	Output is correct
28	Correct	69 ms	21936 KB	Output is correct
29	Correct	72 ms	22096 KB	Output is correct
30	Correct	74 ms	22356 KB	Output is correct

Subtask #4
11.0 / 11.0

#	결과	실행 시간	메모리	Grader output
1	Correct	83 ms	23952 KB	Output is correct
2	Correct	81 ms	23588 KB	Output is correct
3	Correct	86 ms	23632 KB	Output is correct
4	Correct	87 ms	23580 KB	Output is correct
5	Correct	84 ms	23532 KB	Output is correct
6	Correct	80 ms	23740 KB	Output is correct
7	Correct	80 ms	23616 KB	Output is correct
8	Correct	80 ms	23636 KB	Output is correct
9	Correct	80 ms	23740 KB	Output is correct
10	Correct	82 ms	23636 KB	Output is correct

Subtask #5
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	348 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	348 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	1 ms	352 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	600 KB	Output is correct
13	Correct	1 ms	352 KB	Output is correct
14	Correct	0 ms	352 KB	Output is correct
15	Correct	1 ms	356 KB	Output is correct
16	Correct	1 ms	352 KB	Output is correct
17	Correct	0 ms	516 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	0 ms	356 KB	Output is correct
20	Correct	1 ms	476 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	348 KB	Output is correct
24	Correct	1 ms	356 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 ms	348 KB	Output is correct
27	Correct	1 ms	352 KB	Output is correct
28	Correct	1 ms	348 KB	Output is correct
29	Correct	1 ms	348 KB	Output is correct
30	Correct	0 ms	604 KB	Output is correct
31	Correct	0 ms	348 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	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	1 ms	348 KB	Output is correct
38	Correct	1 ms	348 KB	Output is correct
39	Correct	0 ms	348 KB	Output is correct
40	Correct	1 ms	344 KB	Output is correct
41	Correct	1 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	348 KB	Output is correct
45	Correct	0 ms	348 KB	Output is correct
46	Correct	1 ms	348 KB	Output is correct
47	Correct	0 ms	348 KB	Output is correct
48	Correct	1 ms	348 KB	Output is correct
49	Correct	1 ms	348 KB	Output is correct
50	Correct	1 ms	348 KB	Output is correct

Subtask #6
28.0 / 28.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	348 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	348 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	1 ms	352 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	600 KB	Output is correct
13	Correct	1 ms	352 KB	Output is correct
14	Correct	0 ms	352 KB	Output is correct
15	Correct	1 ms	356 KB	Output is correct
16	Correct	1 ms	352 KB	Output is correct
17	Correct	0 ms	516 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	0 ms	356 KB	Output is correct
20	Correct	1 ms	476 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	348 KB	Output is correct
24	Correct	1 ms	356 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 ms	348 KB	Output is correct
27	Correct	1 ms	352 KB	Output is correct
28	Correct	1 ms	348 KB	Output is correct
29	Correct	1 ms	348 KB	Output is correct
30	Correct	81 ms	21128 KB	Output is correct
31	Correct	77 ms	21844 KB	Output is correct
32	Correct	73 ms	20348 KB	Output is correct
33	Correct	86 ms	21720 KB	Output is correct
34	Correct	78 ms	21520 KB	Output is correct
35	Correct	86 ms	21688 KB	Output is correct
36	Correct	73 ms	21328 KB	Output is correct
37	Correct	77 ms	22424 KB	Output is correct
38	Correct	71 ms	21744 KB	Output is correct
39	Correct	74 ms	22352 KB	Output is correct
40	Correct	75 ms	22724 KB	Output is correct
41	Correct	73 ms	21076 KB	Output is correct
42	Correct	69 ms	21936 KB	Output is correct
43	Correct	72 ms	22096 KB	Output is correct
44	Correct	74 ms	22356 KB	Output is correct
45	Correct	83 ms	23952 KB	Output is correct
46	Correct	81 ms	23588 KB	Output is correct
47	Correct	86 ms	23632 KB	Output is correct
48	Correct	87 ms	23580 KB	Output is correct
49	Correct	84 ms	23532 KB	Output is correct
50	Correct	80 ms	23740 KB	Output is correct
51	Correct	80 ms	23616 KB	Output is correct
52	Correct	80 ms	23636 KB	Output is correct
53	Correct	80 ms	23740 KB	Output is correct
54	Correct	82 ms	23636 KB	Output is correct
55	Correct	0 ms	604 KB	Output is correct
56	Correct	0 ms	348 KB	Output is correct
57	Correct	0 ms	348 KB	Output is correct
58	Correct	0 ms	348 KB	Output is correct
59	Correct	0 ms	348 KB	Output is correct
60	Correct	0 ms	348 KB	Output is correct
61	Correct	0 ms	348 KB	Output is correct
62	Correct	1 ms	348 KB	Output is correct
63	Correct	1 ms	348 KB	Output is correct
64	Correct	0 ms	348 KB	Output is correct
65	Correct	1 ms	344 KB	Output is correct
66	Correct	1 ms	348 KB	Output is correct
67	Correct	1 ms	348 KB	Output is correct
68	Correct	0 ms	348 KB	Output is correct
69	Correct	0 ms	348 KB	Output is correct
70	Correct	0 ms	348 KB	Output is correct
71	Correct	1 ms	348 KB	Output is correct
72	Correct	0 ms	348 KB	Output is correct
73	Correct	1 ms	348 KB	Output is correct
74	Correct	1 ms	348 KB	Output is correct
75	Correct	1 ms	348 KB	Output is correct
76	Correct	75 ms	22096 KB	Output is correct
77	Correct	80 ms	22096 KB	Output is correct
78	Correct	74 ms	21332 KB	Output is correct
79	Correct	70 ms	21584 KB	Output is correct
80	Correct	77 ms	22424 KB	Output is correct
81	Correct	71 ms	21584 KB	Output is correct
82	Correct	69 ms	21444 KB	Output is correct
83	Correct	75 ms	21844 KB	Output is correct
84	Correct	79 ms	21840 KB	Output is correct
85	Correct	75 ms	22100 KB	Output is correct
86	Correct	85 ms	21360 KB	Output is correct
87	Correct	69 ms	21328 KB	Output is correct
88	Correct	66 ms	21704 KB	Output is correct
89	Correct	73 ms	21584 KB	Output is correct
90	Correct	67 ms	21492 KB	Output is correct
91	Correct	64 ms	21288 KB	Output is correct
92	Correct	78 ms	22624 KB	Output is correct
93	Correct	73 ms	21740 KB	Output is correct
94	Correct	66 ms	20828 KB	Output is correct
95	Correct	71 ms	22256 KB	Output is correct
96	Correct	73 ms	21328 KB	Output is correct
97	Correct	73 ms	21588 KB	Output is correct
98	Correct	75 ms	21848 KB	Output is correct
99	Correct	70 ms	21332 KB	Output is correct
100	Correct	73 ms	21528 KB	Output is correct

답안 #1099485

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