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Submission #968727

# Submission time Handle Problem Language Result Execution time Memory
968727 2024-04-24T00:27:02 Z vjudge1 Strange Device (APIO19_strange_device) C++17
100 / 100
 372 ms 112252 KB 
#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

# Verdict Execution time Memory 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

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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