답안 #284246

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
284246	2020-08-27T04:57:37 Z	임성재(#5754)	Discharging (NOI20_discharging)	C++17	72 / 100	852 ms	18168 KB

Discharging

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

#define fast ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define em emplace
#define eb emplace_back
#define mp make_pair
#define all(v) (v).begin(), (v).end()

typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const int inf = 1e9;
const ll INF = 1e18;

int n;
ll t[1000010];
ll dp[1000010];
vector<pll> v;

bool cross(int i, int j, ll x) {
	return v[i].fi * x + v[i].se > v[j].fi * x + v[j].se;
}

bool chk(pll x) {
	pll f = v[v.size()-2];
	pll s = v[v.size()-1];

	//cout << (x.se - s.se) * (f.fi - x.fi) << "!! " << (x.se - f.se) * (s.fi - x.fi) << endl;

	return (x.se - s.se) * (f.fi - x.fi) <= (x.se - f.se) * (s.fi - x.fi);
}

int main() {
	cin >> n;

	for(int i=1; i<=n; i++) {
		cin >> t[i];
		t[i] = max(t[i], t[i-1]);
	}

	v.eb(n, 0);
	int idx = 0;

	for(int i=1; i<=n; i++) {
		dp[i] = INF;

		if(t[i] == t[i+1]) continue;

		while(idx+1 < v.size()) {
			if(cross(idx, idx+1, t[i])) idx++;
			else break;
		}

		dp[i] = v[idx].fi * t[i] + v[idx].se;

		while(v.size() > 1 && chk(mp(n-i, dp[i]))) v.pop_back();

		v.eb(n - i, dp[i]);

		/*cout << i << "\n";

		for(auto j : v) {
			cout << j.fi << " " << j.se << "\n"; 
		}
		cout << dp[i] << " " << v.size() << "\n";
		cout << "\n";*/
	}

	cout << dp[n];
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:52:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   52 |   while(idx+1 < v.size()) {
      |         ~~~~~~^~~~~~~~~~

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	0 ms	384 KB	Output is correct
8	Correct	0 ms	276 KB	Output is correct
9	Correct	1 ms	256 KB	Output is correct
10	Correct	1 ms	416 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct

Subtask #2
13.0 / 13.0

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

Subtask #3
25.0 / 25.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	384 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	2 ms	384 KB	Output is correct
9	Correct	2 ms	384 KB	Output is correct
10	Correct	3 ms	384 KB	Output is correct
11	Correct	2 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	511 ms	18168 KB	Output is correct
17	Correct	568 ms	17876 KB	Output is correct
18	Correct	463 ms	17912 KB	Output is correct
19	Correct	570 ms	17912 KB	Output is correct
20	Correct	555 ms	18008 KB	Output is correct
21	Correct	560 ms	17784 KB	Output is correct
22	Correct	532 ms	17804 KB	Output is correct
23	Correct	608 ms	17912 KB	Output is correct
24	Correct	577 ms	18008 KB	Output is correct
25	Correct	596 ms	17784 KB	Output is correct
26	Correct	649 ms	17808 KB	Output is correct
27	Correct	504 ms	17784 KB	Output is correct
28	Correct	580 ms	17784 KB	Output is correct
29	Correct	581 ms	17784 KB	Output is correct
30	Correct	602 ms	17784 KB	Output is correct

Subtask #4
11.0 / 11.0

#	결과	실행 시간	메모리	Grader output
1	Correct	832 ms	18040 KB	Output is correct
2	Correct	835 ms	17528 KB	Output is correct
3	Correct	840 ms	17492 KB	Output is correct
4	Correct	833 ms	17528 KB	Output is correct
5	Correct	838 ms	17528 KB	Output is correct
6	Correct	832 ms	17528 KB	Output is correct
7	Correct	832 ms	17460 KB	Output is correct
8	Correct	852 ms	17528 KB	Output is correct
9	Correct	846 ms	17424 KB	Output is correct
10	Correct	844 ms	17556 KB	Output is correct

Subtask #5
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	0 ms	384 KB	Output is correct
8	Correct	0 ms	276 KB	Output is correct
9	Correct	1 ms	256 KB	Output is correct
10	Correct	1 ms	416 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	2 ms	384 KB	Output is correct
16	Correct	1 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	1 ms	384 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	2 ms	384 KB	Output is correct
23	Correct	2 ms	384 KB	Output is correct
24	Correct	3 ms	384 KB	Output is correct
25	Correct	2 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	384 KB	Output is correct
29	Correct	1 ms	384 KB	Output is correct
30	Correct	1 ms	384 KB	Output is correct
31	Correct	1 ms	384 KB	Output is correct
32	Correct	1 ms	384 KB	Output is correct
33	Correct	1 ms	384 KB	Output is correct
34	Correct	2 ms	384 KB	Output is correct
35	Correct	1 ms	384 KB	Output is correct
36	Correct	1 ms	384 KB	Output is correct
37	Correct	1 ms	384 KB	Output is correct
38	Correct	1 ms	384 KB	Output is correct
39	Correct	1 ms	384 KB	Output is correct
40	Correct	2 ms	384 KB	Output is correct
41	Correct	1 ms	384 KB	Output is correct
42	Correct	1 ms	384 KB	Output is correct
43	Correct	2 ms	384 KB	Output is correct
44	Correct	1 ms	384 KB	Output is correct
45	Correct	1 ms	384 KB	Output is correct
46	Correct	1 ms	384 KB	Output is correct
47	Correct	1 ms	384 KB	Output is correct
48	Correct	1 ms	384 KB	Output is correct
49	Correct	1 ms	384 KB	Output is correct
50	Correct	1 ms	384 KB	Output is correct

Subtask #6
0 / 28.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	0 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	0 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	0 ms	384 KB	Output is correct
8	Correct	0 ms	276 KB	Output is correct
9	Correct	1 ms	256 KB	Output is correct
10	Correct	1 ms	416 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	2 ms	384 KB	Output is correct
16	Correct	1 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	1 ms	384 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	2 ms	384 KB	Output is correct
23	Correct	2 ms	384 KB	Output is correct
24	Correct	3 ms	384 KB	Output is correct
25	Correct	2 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	384 KB	Output is correct
29	Correct	1 ms	384 KB	Output is correct
30	Correct	511 ms	18168 KB	Output is correct
31	Correct	568 ms	17876 KB	Output is correct
32	Correct	463 ms	17912 KB	Output is correct
33	Correct	570 ms	17912 KB	Output is correct
34	Correct	555 ms	18008 KB	Output is correct
35	Correct	560 ms	17784 KB	Output is correct
36	Correct	532 ms	17804 KB	Output is correct
37	Correct	608 ms	17912 KB	Output is correct
38	Correct	577 ms	18008 KB	Output is correct
39	Correct	596 ms	17784 KB	Output is correct
40	Correct	649 ms	17808 KB	Output is correct
41	Correct	504 ms	17784 KB	Output is correct
42	Correct	580 ms	17784 KB	Output is correct
43	Correct	581 ms	17784 KB	Output is correct
44	Correct	602 ms	17784 KB	Output is correct
45	Correct	832 ms	18040 KB	Output is correct
46	Correct	835 ms	17528 KB	Output is correct
47	Correct	840 ms	17492 KB	Output is correct
48	Correct	833 ms	17528 KB	Output is correct
49	Correct	838 ms	17528 KB	Output is correct
50	Correct	832 ms	17528 KB	Output is correct
51	Correct	832 ms	17460 KB	Output is correct
52	Correct	852 ms	17528 KB	Output is correct
53	Correct	846 ms	17424 KB	Output is correct
54	Correct	844 ms	17556 KB	Output is correct
55	Correct	1 ms	384 KB	Output is correct
56	Correct	1 ms	384 KB	Output is correct
57	Correct	1 ms	384 KB	Output is correct
58	Correct	1 ms	384 KB	Output is correct
59	Correct	2 ms	384 KB	Output is correct
60	Correct	1 ms	384 KB	Output is correct
61	Correct	1 ms	384 KB	Output is correct
62	Correct	1 ms	384 KB	Output is correct
63	Correct	1 ms	384 KB	Output is correct
64	Correct	1 ms	384 KB	Output is correct
65	Correct	2 ms	384 KB	Output is correct
66	Correct	1 ms	384 KB	Output is correct
67	Correct	1 ms	384 KB	Output is correct
68	Correct	2 ms	384 KB	Output is correct
69	Correct	1 ms	384 KB	Output is correct
70	Correct	1 ms	384 KB	Output is correct
71	Correct	1 ms	384 KB	Output is correct
72	Correct	1 ms	384 KB	Output is correct
73	Correct	1 ms	384 KB	Output is correct
74	Correct	1 ms	384 KB	Output is correct
75	Correct	1 ms	384 KB	Output is correct
76	Correct	568 ms	17656 KB	Output is correct
77	Correct	573 ms	17656 KB	Output is correct
78	Correct	545 ms	17248 KB	Output is correct
79	Correct	549 ms	17276 KB	Output is correct
80	Incorrect	595 ms	17400 KB	Output isn't correct
81	Halted	0 ms	0 KB	-

답안 #284246

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 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
0 / 28.0