답안 #1048200

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1048200 2024-08-08T05:00:41 Z ksun69(#11093) Circle Passing (EGOI24_circlepassing) C++17
100 / 100
437 ms 94552 KB
#include <bits/stdc++.h>
using namespace std;

// A. Circle Passing
// Problem Name circlepassing
// Time Limit 2 seconds
// Memory Limit 1 gigabyte
// It is the first day of high school for Anouk; as a warm-up activity, her sports teacher is making the
// class play name-learning games. There are 2N students in the class. Most of them do not know
// each other, but there are M pairs of best friends who do everything together. Each student has at
// most one best friend.
// The teacher arranges all of the students in a circle, consecutively assigning each student a number
// from 0 to 2N − 1. More specifically, for each 0 ≤ i < 2N − 1, students i and i + 1 stand next to
// each other. Additionally, students 0 and 2N − 1 stand next to each other.
// Since the teacher wants everyone to meet new students, best friends have to stand as far away
// from each other as possible, i.e. opposite each other. That is, the students forming the ith pair of
// best friends are standing at positions k and k + N respectively, where 0 ≤ k < N.
// The teacher selects two students x and y and hands a ball to student x. The goal is to send the ball
// to student y, but each student may only pass the ball to another student whose name they already
// know. Of course, best friends know each other's names. While the rules were explained, each
// student got to know the names of the two students standing directly beside them. Other than that,
// no one knows any other names.
// The game is played Q times; the teacher chooses two students each time. Since the students are
// not paying attention, they do not learn any new names throughout the games. What is the
// minimum number of passes needed to get the ball from student x to student y in each game?
// Input
// The first line of input contains three integers, N, M and Q, where 2N is the number of students
// in Anouk's class, M is the number of pairs of best friends, and Q is the number of games that are
// played.
// i i i
// circlepassing (1 of 5) 
// The second line contains M integers k ,..., k , with k describing the ith pair of best friends.
// For each i, the best friends stand at positions k and k + N respectively. Each student has at most
// one best friend.
// The following Q lines each contain two integers, x and y , the two selected students in game i.
// Output
// Output Q lines, the ith line containing a single integer, the minimum number of passes needed in
// game i.
// Constraints and Scoring
// 2 ≤ N ≤ 5 ⋅ 10 .
// 1 ≤ M ≤ 5 ⋅ 10 and M ≤ N.
// 1 ≤ Q ≤ 2 ⋅ 10 .
// 0 ≤ k < k < ... < k < N.
// 0 ≤ x , y < 2N with x ≠ y .
// Your solution will be tested on a set of test groups, each worth a number of points. Each test
// group contains a set of test cases. To get the points for a test group, you need to solve all test
// cases in the test group.
// Group Score Limits
// 1 14
// M = 1 and x = k . In other words, there is a single pair of best friends, and
// in every game, the student starting with the ball has a best friend.
// 2 20 N,M,Q ≤ 1000
// 3 22 N ≤ 10 and M,Q ≤ 1000
// 4 17 x = 0 for all i
// 5 27 No additional constraints
// Examples
// The following two figures depict the arrangements in the first and the fourth sample. Two
// students are connected by an edge if they know each other's names.

int main(){
	ios_base::sync_with_stdio(false), cin.tie(nullptr);
	int N, M, Q;
	cin >> N >> M >> Q;
	set<int> bff;
	for(int i = 0; i < M; i++){
		int k;
		cin >> k;
		bff.insert(k);
		bff.insert(k + N);
		bff.insert(k - N);
		bff.insert(k + 2 * N);
	}
	auto dist = [&](int a){
		a %= (2 * N);
		if(a < 0) a += (2 * N);
		return min(a, (2 * N) - a);
	};
	for(int i = 0; i < Q; i++){
		int x, y;
		cin >> x >> y;
		int ans = dist(y-x);
		for(int a : {*prev(bff.lower_bound(x)), *bff.lower_bound(x)}){
			ans = min(ans, dist(x - a) + 1 + dist(y - (a + N)));
		}
		cout << ans << '\n';
	}
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 348 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 3 ms 604 KB Output is correct
7 Correct 3 ms 604 KB Output is correct
8 Correct 4 ms 600 KB Output is correct
9 Correct 3 ms 604 KB Output is correct
10 Correct 3 ms 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 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 1 ms 604 KB Output is correct
10 Correct 0 ms 600 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 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 1 ms 604 KB Output is correct
10 Correct 0 ms 600 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 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 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 600 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 279 ms 66228 KB Output is correct
4 Correct 57 ms 15492 KB Output is correct
5 Correct 3 ms 600 KB Output is correct
6 Correct 3 ms 604 KB Output is correct
7 Correct 3 ms 604 KB Output is correct
8 Correct 3 ms 604 KB Output is correct
9 Correct 3 ms 604 KB Output is correct
10 Correct 3 ms 604 KB Output is correct
11 Correct 3 ms 600 KB Output is correct
12 Correct 4 ms 604 KB Output is correct
13 Correct 3 ms 604 KB Output is correct
14 Correct 8 ms 1752 KB Output is correct
15 Correct 159 ms 39680 KB Output is correct
16 Correct 159 ms 38232 KB Output is correct
17 Correct 397 ms 94552 KB Output is correct
18 Correct 394 ms 94548 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 348 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 3 ms 604 KB Output is correct
7 Correct 3 ms 604 KB Output is correct
8 Correct 4 ms 600 KB Output is correct
9 Correct 3 ms 604 KB Output is correct
10 Correct 3 ms 604 KB Output is correct
11 Correct 0 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 0 ms 600 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 604 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 604 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 3 ms 600 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 279 ms 66228 KB Output is correct
68 Correct 57 ms 15492 KB Output is correct
69 Correct 3 ms 600 KB Output is correct
70 Correct 3 ms 604 KB Output is correct
71 Correct 3 ms 604 KB Output is correct
72 Correct 3 ms 604 KB Output is correct
73 Correct 3 ms 604 KB Output is correct
74 Correct 3 ms 604 KB Output is correct
75 Correct 3 ms 600 KB Output is correct
76 Correct 4 ms 604 KB Output is correct
77 Correct 3 ms 604 KB Output is correct
78 Correct 8 ms 1752 KB Output is correct
79 Correct 159 ms 39680 KB Output is correct
80 Correct 159 ms 38232 KB Output is correct
81 Correct 397 ms 94552 KB Output is correct
82 Correct 394 ms 94548 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 3 ms 344 KB Output is correct
85 Correct 2 ms 344 KB Output is correct
86 Correct 2 ms 348 KB Output is correct
87 Correct 0 ms 348 KB Output is correct
88 Correct 3 ms 348 KB Output is correct
89 Correct 3 ms 604 KB Output is correct
90 Correct 3 ms 604 KB Output is correct
91 Correct 3 ms 604 KB Output is correct
92 Correct 5 ms 604 KB Output is correct
93 Correct 4 ms 604 KB Output is correct
94 Correct 1 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 0 ms 348 KB Output is correct
98 Correct 0 ms 348 KB Output is correct
99 Correct 0 ms 348 KB Output is correct
100 Correct 0 ms 348 KB Output is correct
101 Correct 1 ms 604 KB Output is correct
102 Correct 0 ms 348 KB Output is correct
103 Correct 0 ms 348 KB Output is correct
104 Correct 0 ms 348 KB Output is correct
105 Correct 0 ms 348 KB Output is correct
106 Correct 0 ms 348 KB Output is correct
107 Correct 0 ms 348 KB Output is correct
108 Correct 0 ms 344 KB Output is correct
109 Correct 0 ms 348 KB Output is correct
110 Correct 0 ms 348 KB Output is correct
111 Correct 0 ms 348 KB Output is correct
112 Correct 1 ms 604 KB Output is correct
113 Correct 0 ms 348 KB Output is correct
114 Correct 0 ms 348 KB Output is correct
115 Correct 0 ms 348 KB Output is correct
116 Correct 0 ms 344 KB Output is correct
117 Correct 1 ms 604 KB Output is correct
118 Correct 0 ms 348 KB Output is correct
119 Correct 0 ms 348 KB Output is correct
120 Correct 1 ms 348 KB Output is correct
121 Correct 272 ms 66252 KB Output is correct
122 Correct 56 ms 15700 KB Output is correct
123 Correct 5 ms 604 KB Output is correct
124 Correct 3 ms 604 KB Output is correct
125 Correct 4 ms 404 KB Output is correct
126 Correct 3 ms 604 KB Output is correct
127 Correct 3 ms 472 KB Output is correct
128 Correct 3 ms 604 KB Output is correct
129 Correct 3 ms 612 KB Output is correct
130 Correct 4 ms 600 KB Output is correct
131 Correct 4 ms 604 KB Output is correct
132 Correct 8 ms 1808 KB Output is correct
133 Correct 159 ms 39508 KB Output is correct
134 Correct 146 ms 37912 KB Output is correct
135 Correct 402 ms 94404 KB Output is correct
136 Correct 417 ms 94548 KB Output is correct
137 Correct 414 ms 94544 KB Output is correct
138 Correct 437 ms 94544 KB Output is correct
139 Correct 45 ms 12880 KB Output is correct
140 Correct 14 ms 4956 KB Output is correct
141 Correct 122 ms 30656 KB Output is correct
142 Correct 185 ms 43600 KB Output is correct
143 Correct 270 ms 61524 KB Output is correct
144 Correct 4 ms 600 KB Output is correct
145 Correct 3 ms 604 KB Output is correct
146 Correct 3 ms 604 KB Output is correct
147 Correct 4 ms 604 KB Output is correct
148 Correct 9 ms 604 KB Output is correct
149 Correct 4 ms 604 KB Output is correct
150 Correct 9 ms 1116 KB Output is correct
151 Correct 0 ms 348 KB Output is correct
152 Correct 1 ms 348 KB Output is correct
153 Correct 0 ms 348 KB Output is correct
154 Correct 0 ms 348 KB Output is correct
155 Correct 0 ms 348 KB Output is correct