답안 #320646

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
320646	2020-11-09T11:39:20 Z	egas	Discharging (NOI20_discharging)	C++14	100 / 100	185 ms	23968 KB

Discharging

#include <bits/stdc++.h>

using namespace std;

class CHT {

private:

    class Line {

        long long m,c;

    public:

        Line(long long m,long long c) {

            this->m=m;

            this->c=c;

        }

        long long getVal(long long x) {

            return this->m*x + c;

        }

        long long intersect(Line &a) {

            return ceil((a.c - this->c)/(long double)(this->m - a.m));

        }

    };

    deque<pair<Line,long long>> dq;

public:

    void insert(long long m,long long c) {

        Line temp(m,c);

        while(dq.size()>1 and dq.back().second>=dq.back().first.intersect(temp)) {

            dq.pop_back();

        }

        if(dq.size()==0) {

            dq.push_back({temp,0});

        } else {

            dq.push_back({temp,dq.back().first.intersect(temp)});

        }

    }

    long long query(long long x) {

        while(dq.size()>1) {

            if(dq[1].second<=x) {

                dq.pop_front();

            } else {

                break;

            }

        }

        return dq[0].first.getVal(x);

    }

};

int32_t main() {

    ios_base::sync_with_stdio(false);

    cin.tie(0);

    long long n;

    cin >> n;

    vector<long long> a(n);

    for(long long i = 0 ; i < n ; i++) {

        cin >> a[i];

    }

    long long dp[n];

    dp[0]=a[0]*n;

    long long maxi[n];

    maxi[0]=a[0];

    for(long long i = 0 ; i < n ; i++) {

        if(i==0) {

            continue;

        }

        maxi[i]=max(maxi[i-1],a[i]);

    }

    CHT meat;

    meat.insert(n,0);

    for(long long i = 0 ; i < n ; i++) {

        if(i==0)continue;

        meat.insert(n-i,dp[i-1]);

        dp[i]=meat.query(maxi[i]);

    }

    cout << dp[n-1] << '\n';

    return 0;

}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	364 KB	Output is correct
4	Correct	0 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	0 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	0 ms	364 KB	Output is correct
10	Correct	1 ms	376 KB	Output is correct
11	Correct	0 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	0 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct

Subtask #2
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct

Subtask #3
25.0 / 25.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	143 ms	23908 KB	Output is correct
17	Correct	150 ms	23780 KB	Output is correct
18	Correct	136 ms	23968 KB	Output is correct
19	Correct	158 ms	23780 KB	Output is correct
20	Correct	146 ms	23780 KB	Output is correct
21	Correct	148 ms	23904 KB	Output is correct
22	Correct	149 ms	23780 KB	Output is correct
23	Correct	157 ms	23908 KB	Output is correct
24	Correct	154 ms	23780 KB	Output is correct
25	Correct	156 ms	23780 KB	Output is correct
26	Correct	180 ms	23908 KB	Output is correct
27	Correct	143 ms	23780 KB	Output is correct
28	Correct	157 ms	23908 KB	Output is correct
29	Correct	169 ms	23908 KB	Output is correct
30	Correct	157 ms	23780 KB	Output is correct

Subtask #4
11.0 / 11.0

#	결과	실행 시간	메모리	Grader output
1	Correct	163 ms	23780 KB	Output is correct
2	Correct	163 ms	23780 KB	Output is correct
3	Correct	164 ms	23848 KB	Output is correct
4	Correct	166 ms	23908 KB	Output is correct
5	Correct	161 ms	23780 KB	Output is correct
6	Correct	165 ms	23848 KB	Output is correct
7	Correct	162 ms	23784 KB	Output is correct
8	Correct	162 ms	23908 KB	Output is correct
9	Correct	163 ms	23780 KB	Output is correct
10	Correct	185 ms	23780 KB	Output is correct

Subtask #5
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	364 KB	Output is correct
4	Correct	0 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	0 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	0 ms	364 KB	Output is correct
10	Correct	1 ms	376 KB	Output is correct
11	Correct	0 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	0 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	1 ms	384 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	1 ms	364 KB	Output is correct
19	Correct	1 ms	364 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	1 ms	364 KB	Output is correct
24	Correct	1 ms	364 KB	Output is correct
25	Correct	1 ms	364 KB	Output is correct
26	Correct	1 ms	364 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	364 KB	Output is correct
29	Correct	1 ms	364 KB	Output is correct
30	Correct	1 ms	364 KB	Output is correct
31	Correct	1 ms	364 KB	Output is correct
32	Correct	1 ms	364 KB	Output is correct
33	Correct	1 ms	364 KB	Output is correct
34	Correct	1 ms	364 KB	Output is correct
35	Correct	1 ms	364 KB	Output is correct
36	Correct	1 ms	364 KB	Output is correct
37	Correct	1 ms	364 KB	Output is correct
38	Correct	1 ms	364 KB	Output is correct
39	Correct	1 ms	364 KB	Output is correct
40	Correct	1 ms	364 KB	Output is correct
41	Correct	1 ms	364 KB	Output is correct
42	Correct	1 ms	364 KB	Output is correct
43	Correct	1 ms	364 KB	Output is correct
44	Correct	1 ms	364 KB	Output is correct
45	Correct	1 ms	364 KB	Output is correct
46	Correct	1 ms	364 KB	Output is correct
47	Correct	1 ms	364 KB	Output is correct
48	Correct	1 ms	364 KB	Output is correct
49	Correct	1 ms	364 KB	Output is correct
50	Correct	1 ms	364 KB	Output is correct

Subtask #6
28.0 / 28.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	0 ms	364 KB	Output is correct
4	Correct	0 ms	364 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	0 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	0 ms	364 KB	Output is correct
10	Correct	1 ms	376 KB	Output is correct
11	Correct	0 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	0 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	1 ms	384 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	1 ms	364 KB	Output is correct
19	Correct	1 ms	364 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	1 ms	364 KB	Output is correct
24	Correct	1 ms	364 KB	Output is correct
25	Correct	1 ms	364 KB	Output is correct
26	Correct	1 ms	364 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	364 KB	Output is correct
29	Correct	1 ms	364 KB	Output is correct
30	Correct	143 ms	23908 KB	Output is correct
31	Correct	150 ms	23780 KB	Output is correct
32	Correct	136 ms	23968 KB	Output is correct
33	Correct	158 ms	23780 KB	Output is correct
34	Correct	146 ms	23780 KB	Output is correct
35	Correct	148 ms	23904 KB	Output is correct
36	Correct	149 ms	23780 KB	Output is correct
37	Correct	157 ms	23908 KB	Output is correct
38	Correct	154 ms	23780 KB	Output is correct
39	Correct	156 ms	23780 KB	Output is correct
40	Correct	180 ms	23908 KB	Output is correct
41	Correct	143 ms	23780 KB	Output is correct
42	Correct	157 ms	23908 KB	Output is correct
43	Correct	169 ms	23908 KB	Output is correct
44	Correct	157 ms	23780 KB	Output is correct
45	Correct	163 ms	23780 KB	Output is correct
46	Correct	163 ms	23780 KB	Output is correct
47	Correct	164 ms	23848 KB	Output is correct
48	Correct	166 ms	23908 KB	Output is correct
49	Correct	161 ms	23780 KB	Output is correct
50	Correct	165 ms	23848 KB	Output is correct
51	Correct	162 ms	23784 KB	Output is correct
52	Correct	162 ms	23908 KB	Output is correct
53	Correct	163 ms	23780 KB	Output is correct
54	Correct	185 ms	23780 KB	Output is correct
55	Correct	1 ms	364 KB	Output is correct
56	Correct	1 ms	364 KB	Output is correct
57	Correct	1 ms	364 KB	Output is correct
58	Correct	1 ms	364 KB	Output is correct
59	Correct	1 ms	364 KB	Output is correct
60	Correct	1 ms	364 KB	Output is correct
61	Correct	1 ms	364 KB	Output is correct
62	Correct	1 ms	364 KB	Output is correct
63	Correct	1 ms	364 KB	Output is correct
64	Correct	1 ms	364 KB	Output is correct
65	Correct	1 ms	364 KB	Output is correct
66	Correct	1 ms	364 KB	Output is correct
67	Correct	1 ms	364 KB	Output is correct
68	Correct	1 ms	364 KB	Output is correct
69	Correct	1 ms	364 KB	Output is correct
70	Correct	1 ms	364 KB	Output is correct
71	Correct	1 ms	364 KB	Output is correct
72	Correct	1 ms	364 KB	Output is correct
73	Correct	1 ms	364 KB	Output is correct
74	Correct	1 ms	364 KB	Output is correct
75	Correct	1 ms	364 KB	Output is correct
76	Correct	147 ms	23780 KB	Output is correct
77	Correct	145 ms	23908 KB	Output is correct
78	Correct	138 ms	23844 KB	Output is correct
79	Correct	139 ms	23780 KB	Output is correct
80	Correct	169 ms	23908 KB	Output is correct
81	Correct	142 ms	23908 KB	Output is correct
82	Correct	143 ms	23780 KB	Output is correct
83	Correct	143 ms	23780 KB	Output is correct
84	Correct	145 ms	23908 KB	Output is correct
85	Correct	163 ms	23908 KB	Output is correct
86	Correct	138 ms	23780 KB	Output is correct
87	Correct	138 ms	23844 KB	Output is correct
88	Correct	141 ms	23844 KB	Output is correct
89	Correct	140 ms	23780 KB	Output is correct
90	Correct	142 ms	23780 KB	Output is correct
91	Correct	138 ms	23848 KB	Output is correct
92	Correct	167 ms	23780 KB	Output is correct
93	Correct	154 ms	23908 KB	Output is correct
94	Correct	135 ms	23780 KB	Output is correct
95	Correct	143 ms	23780 KB	Output is correct
96	Correct	146 ms	23780 KB	Output is correct
97	Correct	138 ms	23780 KB	Output is correct
98	Correct	140 ms	23780 KB	Output is correct
99	Correct	140 ms	23776 KB	Output is correct
100	Correct	141 ms	23780 KB	Output is correct

답안 #320646

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