CF1056A.Determine Line

传统题 时间 2000 ms 内存 256 MiB 3 尝试 1 已通过 1 标签

Determine Line

Arkady's morning seemed to be straight of his nightmare. He overslept through the whole morning and, still half-asleep, got into the tram that arrived the first. Some time after, leaving the tram, he realized that he was not sure about the line number of the tram he was in.

During his ride, Arkady woke up several times and each time he saw the tram stopping at some stop. For each stop he knows which lines of tram stop there. Given this information, can you help Arkady determine what are the possible lines of the tram he was in?

Input

The first line contains a single integer nn (2n1002 \le n \le 100) — the number of stops Arkady saw.

The next nn lines describe the stops. Each of them starts with a single integer rr (1r1001 \le r \le 100) — the number of tram lines that stop there. rr distinct integers follow, each one between 11 and 100100, inclusive, — the line numbers. They can be in arbitrary order.

It is guaranteed that Arkady's information is consistent, i.e. there is at least one tram line that Arkady could take.

Output

Print all tram lines that Arkady could be in, in arbitrary order.

Note

Consider the first example. Arkady woke up three times. The first time he saw a stop with lines 11, 44, 66. The second time he saw a stop with lines 11, 44. The third time he saw a stop with lines 1010, 55, 66, 44 and 11. He can be in a tram of one of two lines: 11 or 44.

Samples

3
3 1 4 6
2 1 4
5 10 5 6 4 1
1 4 
5
1 1
10 10 9 8 7 100 5 4 3 99 1
5 1 2 3 4 5
5 4 1 3 2 5
4 10 1 5 3
1 

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