답안 #494815

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
494815	2021-12-16T15:37:50 Z	blue	Discharging (NOI20_discharging)	C++17	100 / 100	155 ms	21828 KB

Discharging

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

using ll = long long;
using vll = vector<ll>;
using pll = pair<ll, ll>;
#define sz(x) int(x.size())

const ll INF = 1'000'000'000'000'000'000LL;

struct line
{
    double a;
    double b;
};

double intersect(line A, line B)
{
    return (B.b-A.b)/(A.a-B.a);
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    int N;
    cin >> N;

    int TS = N;

    vector<pll> T;

    T.push_back({0, 0});
    for(int i = 1; i <= N; i++)
    {
        ll t;
        cin >> t;
        if(t <= T.back().first)
            T.back().second++;
        else
            T.push_back({t, 1});
    }

    N = sz(T)-1;

    vll suff(1+N, 0);
    suff[0] = TS;
    for(int i = 1; i <= N; i++) suff[i] = suff[i-1] - T[i].second;


    vll dp(1+N, INF);

    dp[0] = 0;

    vector<line> L;
    L.push_back(line{double(suff[0]), double(dp[0])});

    for(int i = 1; i <= N; i++)
    {
        int lo = 0;
        int hi = sz(L) - 1;

        double x = T[i].first;

        while(lo != hi)
        {
            int mid = (lo+hi)/2;
            if(intersect(L[mid], L[mid+1]) <= x)
                lo = mid+1;
            else
                hi = mid;
        }

        dp[i] = ll(L[lo].a) * T[i].first  +  ll(L[lo].b);

        if(i < N)
        {
            line new_line{double(suff[i]), double(dp[i])};
            while(sz(L) >= 2 && intersect(L[sz(L)-2], L[sz(L)-1]) >= intersect(L[sz(L)-1], new_line))
                L.pop_back();

            L.push_back(new_line);
        }
    }
    cout << dp[N] << '\n';
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	0 ms	312 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	0 ms	204 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	0 ms	312 KB	Output is correct
8	Correct	0 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	204 KB	Output is correct
11	Correct	0 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	0 ms	204 KB	Output is correct
14	Correct	0 ms	204 KB	Output is correct

Subtask #2
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	320 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct

Subtask #3
25.0 / 25.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	320 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	121 ms	14324 KB	Output is correct
17	Correct	127 ms	15420 KB	Output is correct
18	Correct	94 ms	10308 KB	Output is correct
19	Correct	125 ms	15400 KB	Output is correct
20	Correct	121 ms	16804 KB	Output is correct
21	Correct	120 ms	15508 KB	Output is correct
22	Correct	110 ms	14116 KB	Output is correct
23	Correct	139 ms	20260 KB	Output is correct
24	Correct	133 ms	18176 KB	Output is correct
25	Correct	136 ms	18064 KB	Output is correct
26	Correct	155 ms	21828 KB	Output is correct
27	Correct	102 ms	12472 KB	Output is correct
28	Correct	119 ms	16148 KB	Output is correct
29	Correct	133 ms	18680 KB	Output is correct
30	Correct	142 ms	21024 KB	Output is correct

Subtask #4
11.0 / 11.0

#	결과	실행 시간	메모리	Grader output
1	Correct	100 ms	1968 KB	Output is correct
2	Correct	95 ms	2324 KB	Output is correct
3	Correct	94 ms	2328 KB	Output is correct
4	Correct	95 ms	2364 KB	Output is correct
5	Correct	93 ms	2372 KB	Output is correct
6	Correct	91 ms	2388 KB	Output is correct
7	Correct	97 ms	2524 KB	Output is correct
8	Correct	105 ms	2336 KB	Output is correct
9	Correct	94 ms	2372 KB	Output is correct
10	Correct	97 ms	2420 KB	Output is correct

Subtask #5
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	0 ms	312 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	0 ms	204 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	0 ms	312 KB	Output is correct
8	Correct	0 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	204 KB	Output is correct
11	Correct	0 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	0 ms	204 KB	Output is correct
14	Correct	0 ms	204 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	320 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	332 KB	Output is correct
24	Correct	1 ms	332 KB	Output is correct
25	Correct	1 ms	332 KB	Output is correct
26	Correct	1 ms	332 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	1 ms	332 KB	Output is correct
30	Correct	1 ms	204 KB	Output is correct
31	Correct	1 ms	204 KB	Output is correct
32	Correct	1 ms	204 KB	Output is correct
33	Correct	1 ms	204 KB	Output is correct
34	Correct	1 ms	316 KB	Output is correct
35	Correct	1 ms	204 KB	Output is correct
36	Correct	1 ms	332 KB	Output is correct
37	Correct	1 ms	204 KB	Output is correct
38	Correct	0 ms	204 KB	Output is correct
39	Correct	0 ms	204 KB	Output is correct
40	Correct	1 ms	204 KB	Output is correct
41	Correct	1 ms	204 KB	Output is correct
42	Correct	1 ms	332 KB	Output is correct
43	Correct	1 ms	332 KB	Output is correct
44	Correct	1 ms	204 KB	Output is correct
45	Correct	1 ms	204 KB	Output is correct
46	Correct	1 ms	204 KB	Output is correct
47	Correct	1 ms	204 KB	Output is correct
48	Correct	1 ms	204 KB	Output is correct
49	Correct	1 ms	320 KB	Output is correct
50	Correct	1 ms	204 KB	Output is correct

Subtask #6
28.0 / 28.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	0 ms	312 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	0 ms	204 KB	Output is correct
6	Correct	0 ms	204 KB	Output is correct
7	Correct	0 ms	312 KB	Output is correct
8	Correct	0 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	0 ms	204 KB	Output is correct
11	Correct	0 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	0 ms	204 KB	Output is correct
14	Correct	0 ms	204 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	1 ms	320 KB	Output is correct
20	Correct	1 ms	332 KB	Output is correct
21	Correct	1 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	332 KB	Output is correct
24	Correct	1 ms	332 KB	Output is correct
25	Correct	1 ms	332 KB	Output is correct
26	Correct	1 ms	332 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	1 ms	332 KB	Output is correct
30	Correct	121 ms	14324 KB	Output is correct
31	Correct	127 ms	15420 KB	Output is correct
32	Correct	94 ms	10308 KB	Output is correct
33	Correct	125 ms	15400 KB	Output is correct
34	Correct	121 ms	16804 KB	Output is correct
35	Correct	120 ms	15508 KB	Output is correct
36	Correct	110 ms	14116 KB	Output is correct
37	Correct	139 ms	20260 KB	Output is correct
38	Correct	133 ms	18176 KB	Output is correct
39	Correct	136 ms	18064 KB	Output is correct
40	Correct	155 ms	21828 KB	Output is correct
41	Correct	102 ms	12472 KB	Output is correct
42	Correct	119 ms	16148 KB	Output is correct
43	Correct	133 ms	18680 KB	Output is correct
44	Correct	142 ms	21024 KB	Output is correct
45	Correct	100 ms	1968 KB	Output is correct
46	Correct	95 ms	2324 KB	Output is correct
47	Correct	94 ms	2328 KB	Output is correct
48	Correct	95 ms	2364 KB	Output is correct
49	Correct	93 ms	2372 KB	Output is correct
50	Correct	91 ms	2388 KB	Output is correct
51	Correct	97 ms	2524 KB	Output is correct
52	Correct	105 ms	2336 KB	Output is correct
53	Correct	94 ms	2372 KB	Output is correct
54	Correct	97 ms	2420 KB	Output is correct
55	Correct	1 ms	204 KB	Output is correct
56	Correct	1 ms	204 KB	Output is correct
57	Correct	1 ms	204 KB	Output is correct
58	Correct	1 ms	204 KB	Output is correct
59	Correct	1 ms	316 KB	Output is correct
60	Correct	1 ms	204 KB	Output is correct
61	Correct	1 ms	332 KB	Output is correct
62	Correct	1 ms	204 KB	Output is correct
63	Correct	0 ms	204 KB	Output is correct
64	Correct	0 ms	204 KB	Output is correct
65	Correct	1 ms	204 KB	Output is correct
66	Correct	1 ms	204 KB	Output is correct
67	Correct	1 ms	332 KB	Output is correct
68	Correct	1 ms	332 KB	Output is correct
69	Correct	1 ms	204 KB	Output is correct
70	Correct	1 ms	204 KB	Output is correct
71	Correct	1 ms	204 KB	Output is correct
72	Correct	1 ms	204 KB	Output is correct
73	Correct	1 ms	204 KB	Output is correct
74	Correct	1 ms	320 KB	Output is correct
75	Correct	1 ms	204 KB	Output is correct
76	Correct	76 ms	1660 KB	Output is correct
77	Correct	74 ms	1712 KB	Output is correct
78	Correct	69 ms	1604 KB	Output is correct
79	Correct	71 ms	1720 KB	Output is correct
80	Correct	75 ms	1688 KB	Output is correct
81	Correct	72 ms	1736 KB	Output is correct
82	Correct	67 ms	1808 KB	Output is correct
83	Correct	70 ms	1704 KB	Output is correct
84	Correct	73 ms	1788 KB	Output is correct
85	Correct	78 ms	1696 KB	Output is correct
86	Correct	68 ms	1568 KB	Output is correct
87	Correct	74 ms	1572 KB	Output is correct
88	Correct	73 ms	1568 KB	Output is correct
89	Correct	73 ms	1668 KB	Output is correct
90	Correct	69 ms	1476 KB	Output is correct
91	Correct	68 ms	1604 KB	Output is correct
92	Correct	135 ms	17700 KB	Output is correct
93	Correct	126 ms	15780 KB	Output is correct
94	Correct	66 ms	1300 KB	Output is correct
95	Correct	75 ms	1316 KB	Output is correct
96	Correct	67 ms	1348 KB	Output is correct
97	Correct	69 ms	1352 KB	Output is correct
98	Correct	78 ms	1464 KB	Output is correct
99	Correct	74 ms	1304 KB	Output is correct
100	Correct	70 ms	1152 KB	Output is correct

답안 #494815

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