You are given \(n\) sets of integers. The \(i\)-th set contains \(k_i\) integers.
Two sets are called similar if they share at least two common elements, i. e. there exist two integers \(x\) and \(y\) such that \(x \ne y\), and they both belong to each of the two sets.
Your task is to find two similar sets among the given ones, or report that there is no such pair of sets.
Output
For each test case, print the answer on a single line.
If there is no pair of similar sets, print -1.
Otherwise, print two different integers — the indices of the similar sets. The sets are numbered from \(1\) to \(n\) in the order they are given in the input. If there are multiple answers, print any of them.
Примеры
| № | Входные данные | Выходные данные |
|
1
|
3
4
2 1 10
3 1 3 5
5 5 4 3 2 1
3 10 20 30
3
4 1 2 3 4
4 2 3 4 5
4 3 4 5 6
2
3 1 3 5
3 4 3 2
|
2 3
1 2
-1
|