#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';
}
}
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
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 |
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 |
| # |
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 |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
