답안 #968727

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
968727	2024-04-24T00:27:02 Z	vjudge1	이상한 기계 (APIO19_strange_device)	C++17	100 / 100	372 ms	112252 KB

strange_device

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

class strangeDevice{
private:
	using ll=long long;
	using i128=__int128;
public:
	long long count(long long A, long long B, vector<long long> left, vector<long long> right) {
		long long ans{0ll};
		i128 F = i128(A / __gcd(A, B + 1)) * B;
		vector<pair<ll,ll> > rgs, rgx;
		for(int i{0}; i < (int)left.size(); ++i){
			long long l{left[i]}, r{right[i]};
			long long len{r - l + 1};
			if(len>=F) return F;
			l %= F, r %= F;
			if(l <= r) rgs.emplace_back(l, r);
			else rgs.emplace_back(l, F - 1),rgs.emplace_back(0, r);
		}
		sort(rgs.begin(), rgs.end());
		for(auto [l,r]: rgs){
			if(rgx.empty() || rgx.back().second < l ) rgx.emplace_back(l, r);
			else rgx.back().second = max(rgx.back().second, r);
		}
		for(auto [l,r]: rgx) ans += r - l + 1;
		return ans;
	}
}solution;

int main() {
	cin.tie(0) -> sync_with_stdio(0);
	int lengthOfL;
	long long A, B;
	cin >> lengthOfL >> A >> B;
	vector<long long> L(lengthOfL),R(lengthOfL);
	for(int i = 0; i < lengthOfL; i++ ){
		cin >> L[i] >> R[i];
	}
	cout << solution.count(A, B, L, R) << '\n';
	return 0;
}

/*
这类题目可以考虑找循环节

t1=xB+y,t2=x1B+y
x1B+y+[(x1B+y)/B]=x2B+y+[(x2B+y)/B]
x1B+y+x1=x2B+y+x2
(x1-x2)(B+1)=0 (mod A)
x1-x2=K* A/gcd(A,B+1)
t1-t2=K* AB/gcd(A,B+1)	
∴循环节(最小正周期) F=AB/gcd(A,B+1)

转化成：有一些区间，求区间的并 %F 意义下有多少个不同的数
len>=F: ans=F
否则转化成了区间覆盖操作
*/

Subtask #1
10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	4 ms	1496 KB	Output is correct
3	Correct	4 ms	1496 KB	Output is correct
4	Correct	1 ms	344 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	4 ms	1620 KB	Output is correct
17	Correct	44 ms	11884 KB	Output is correct
18	Correct	0 ms	344 KB	Output is correct

Subtask #2
5.0 / 5.0

#	결과	메모리	Grader output
1	Correct	348 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	344 KB	Output is correct
4	Correct	344 KB	Output is correct
5	Correct	348 KB	Output is correct

Subtask #3
5.0 / 5.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	1 ms	344 KB	Output is correct
3	Correct	1 ms	344 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	228 ms	74456 KB	Output is correct

Subtask #4
5.0 / 5.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	338 ms	112252 KB	Output is correct
3	Correct	319 ms	109848 KB	Output is correct
4	Correct	316 ms	111828 KB	Output is correct

Subtask #5
5.0 / 5.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	338 ms	112252 KB	Output is correct
3	Correct	319 ms	109848 KB	Output is correct
4	Correct	316 ms	111828 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	350 ms	110424 KB	Output is correct
7	Correct	342 ms	111700 KB	Output is correct
8	Correct	336 ms	109804 KB	Output is correct
9	Correct	368 ms	111948 KB	Output is correct

Subtask #6
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	338 ms	112252 KB	Output is correct
3	Correct	319 ms	109848 KB	Output is correct
4	Correct	316 ms	111828 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	32 ms	11752 KB	Output is correct
7	Correct	35 ms	11720 KB	Output is correct
8	Correct	37 ms	11828 KB	Output is correct
9	Correct	33 ms	11720 KB	Output is correct
10	Correct	32 ms	11724 KB	Output is correct
11	Correct	34 ms	11720 KB	Output is correct
12	Correct	32 ms	11728 KB	Output is correct
13	Correct	34 ms	11724 KB	Output is correct
14	Correct	32 ms	11960 KB	Output is correct
15	Correct	36 ms	11832 KB	Output is correct
16	Correct	37 ms	11856 KB	Output is correct
17	Correct	33 ms	11724 KB	Output is correct
18	Correct	362 ms	109228 KB	Output is correct
19	Correct	340 ms	110560 KB	Output is correct
20	Correct	369 ms	111540 KB	Output is correct
21	Correct	35 ms	11744 KB	Output is correct
22	Correct	37 ms	11736 KB	Output is correct
23	Correct	113 ms	32144 KB	Output is correct

Subtask #7
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	39 ms	11740 KB	Output is correct
3	Correct	36 ms	11724 KB	Output is correct
4	Correct	370 ms	110580 KB	Output is correct
5	Correct	37 ms	11728 KB	Output is correct
6	Correct	39 ms	11732 KB	Output is correct
7	Correct	35 ms	11920 KB	Output is correct
8	Correct	35 ms	11720 KB	Output is correct
9	Correct	36 ms	11864 KB	Output is correct
10	Correct	36 ms	11724 KB	Output is correct
11	Correct	35 ms	11724 KB	Output is correct
12	Correct	31 ms	11844 KB	Output is correct
13	Correct	35 ms	11728 KB	Output is correct
14	Correct	356 ms	109520 KB	Output is correct
15	Correct	34 ms	11720 KB	Output is correct
16	Correct	318 ms	111284 KB	Output is correct
17	Correct	334 ms	111316 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct

Subtask #8
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	4 ms	1496 KB	Output is correct
3	Correct	4 ms	1496 KB	Output is correct
4	Correct	1 ms	344 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	4 ms	1620 KB	Output is correct
17	Correct	44 ms	11884 KB	Output is correct
18	Correct	0 ms	344 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	344 KB	Output is correct
22	Correct	0 ms	344 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	1 ms	344 KB	Output is correct
25	Correct	1 ms	344 KB	Output is correct
26	Correct	1 ms	344 KB	Output is correct
27	Correct	1 ms	348 KB	Output is correct
28	Correct	228 ms	74456 KB	Output is correct
29	Correct	1 ms	344 KB	Output is correct
30	Correct	338 ms	112252 KB	Output is correct
31	Correct	319 ms	109848 KB	Output is correct
32	Correct	316 ms	111828 KB	Output is correct
33	Correct	1 ms	348 KB	Output is correct
34	Correct	350 ms	110424 KB	Output is correct
35	Correct	342 ms	111700 KB	Output is correct
36	Correct	336 ms	109804 KB	Output is correct
37	Correct	368 ms	111948 KB	Output is correct
38	Correct	0 ms	348 KB	Output is correct
39	Correct	32 ms	11752 KB	Output is correct
40	Correct	35 ms	11720 KB	Output is correct
41	Correct	37 ms	11828 KB	Output is correct
42	Correct	33 ms	11720 KB	Output is correct
43	Correct	32 ms	11724 KB	Output is correct
44	Correct	34 ms	11720 KB	Output is correct
45	Correct	32 ms	11728 KB	Output is correct
46	Correct	34 ms	11724 KB	Output is correct
47	Correct	32 ms	11960 KB	Output is correct
48	Correct	36 ms	11832 KB	Output is correct
49	Correct	37 ms	11856 KB	Output is correct
50	Correct	33 ms	11724 KB	Output is correct
51	Correct	362 ms	109228 KB	Output is correct
52	Correct	340 ms	110560 KB	Output is correct
53	Correct	369 ms	111540 KB	Output is correct
54	Correct	35 ms	11744 KB	Output is correct
55	Correct	37 ms	11736 KB	Output is correct
56	Correct	113 ms	32144 KB	Output is correct
57	Correct	0 ms	348 KB	Output is correct
58	Correct	39 ms	11740 KB	Output is correct
59	Correct	36 ms	11724 KB	Output is correct
60	Correct	370 ms	110580 KB	Output is correct
61	Correct	37 ms	11728 KB	Output is correct
62	Correct	39 ms	11732 KB	Output is correct
63	Correct	35 ms	11920 KB	Output is correct
64	Correct	35 ms	11720 KB	Output is correct
65	Correct	36 ms	11864 KB	Output is correct
66	Correct	36 ms	11724 KB	Output is correct
67	Correct	35 ms	11724 KB	Output is correct
68	Correct	31 ms	11844 KB	Output is correct
69	Correct	35 ms	11728 KB	Output is correct
70	Correct	356 ms	109520 KB	Output is correct
71	Correct	34 ms	11720 KB	Output is correct
72	Correct	318 ms	111284 KB	Output is correct
73	Correct	334 ms	111316 KB	Output is correct
74	Correct	0 ms	348 KB	Output is correct
75	Correct	0 ms	348 KB	Output is correct
76	Correct	0 ms	348 KB	Output is correct
77	Correct	0 ms	348 KB	Output is correct
78	Correct	0 ms	348 KB	Output is correct
79	Correct	4 ms	1484 KB	Output is correct
80	Correct	367 ms	111148 KB	Output is correct
81	Correct	372 ms	110256 KB	Output is correct
82	Correct	334 ms	111868 KB	Output is correct
83	Correct	349 ms	109724 KB	Output is correct
84	Correct	355 ms	111800 KB	Output is correct
85	Correct	338 ms	111280 KB	Output is correct
86	Correct	94 ms	32200 KB	Output is correct
87	Correct	1 ms	344 KB	Output is correct

답안 #968727

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