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**Task** | Statistics

Time limit: | 1.00 s | Memory limit: | 512 MB |

Given two (not rooted) trees, your task is to find out if they are

The first input line has an integer $t$: the number of tests. Then, there are $t$ tests described as follows:

The first line has an integer $n$: the number of nodes in both trees. The nodes are numbered $1,2,\dots,n$.

Then, there are $n-1$ lines describing the edges of the first tree, and finally $n-1$ lines describing the edges of the second tree.

For each test, print "YES", if the trees are isomorphic, and "NO" otherwise.

- $1 \le t \le 1000$

- $2 \le n \le 10^5$

- the sum of all values of $n$ is at most $10^5$

Input:

`2`

3

1 2

2 3

1 2

1 3

3

1 2

2 3

1 3

3 2

Output:

`YES`

YES