Yo`nalishlar
Hozirda online

Statistika

Masalalar soni: 909

Foydalanuvchilar soni: 8819

Jo'natishlar soni: 714352

Muhokama yozuvlari: 4541

Yangiliklar soni: 97

Yangiliklar izohlari: 1174


So'ngi izohlar

742. Friends of Friends
Vaqt limiti: 1 sekund
Xotira limiti: 64 MB

Social networks are very popular now. They use different types of relationships to organize individual users in a network. In this problem friendship is used as a method to connect users. For each user you are given the list of his friends. Consider friendship as a symmetric relation, so if user a is a friend of user b then b is a friend of a.

A friend of a friend for a is such a user c that c is not a friend of a, but there is such b that b is a friend of a and c is a friend of b. Obviously c  a.

Your task is to find the list of friends of friends for the given user x.

    Input

The first line of the input contains integer numbers N and x (1 ≤ N ≤ 50, 1 ≤ x  N), where N is the total number of users and x is user to be processed. Users in the input are specified by their numbers, integers between 1 and N inclusive. The following N lines describe friends list of each user. The i-th line contains integer di (0 ≤ di ≤ 50) — number of friends of the i-th user. After it there are di distinct integers between 1 and N — friends of the i-th user. The list doesn't contain i. It is guaranteed that if user a is a friend of user b then b is a friend of a.

   Output

  You should output the number of friends of friends of x in the first line. Second line should contain friends of friends of x printed in the increasing order separated with one space.

   Samples

Input

Output

1

4 2

1 2

2 1 3

2 4 2

1 3

1

4

2

4 1

3 4 3 2

3 1 3 4

3 1 2 4

3 1 2 3

0

 

Tayyorladi: Azat Yusupov
Text from: acm.sgu.ru
Mening urinishlarim(0) Muhokama (0) Jo'natish Eng yaxshi yechimlar Barcha muvaffaqiyatli urinishlar(13) Barcha urinishlar(21)