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# Favorite Tree

**Timelimit: 1**

By Sociedade Brasileira de Computação (SBC), ICPC Latin American Regional – 2022 Brazil

After learning about tree isomorphism, Telio couldn’t avoid but wonder in how many trees out there his favorite tree is hiding.

Given two trees, **T**_{1} and **T**_{2}, can you help him determine if there is a subtree of **T**_{1} isomorphic to **T**_{2}?

Two trees are isomorphic if it is possible to label their vertices in such a way that they become exactly the same tree. For instance, a tree having edges {(1,2),(2,3)} is isomorphic to a tree having edges {(1,3),(3,2)}.

The figure below corresponds to the first sample, with tree **T**_{1} on the left and tree **T**_{2} on the right. The subtree of **T**_{1} formed by all of its vertices but vertex 5 is isomorphic to **T**_{2}.

There are two groups of lines, each group describing a tree. The first group describes the tree **T**_{1}, while the second group describes the tree **T**_{2}.

Within each group describing a tree, the first line contains an integer **N** (1 ≤ **N** ≤ 100) representing the number of vertices in the tree. Vertices are identified by distinct integers from 1 to **N**. Each of the next** N**-1 lines contains two integers **U** and **V** (1 ≤ **U**, **V** ≤ **N** and **U** ≠ **V** ), indicating that the tree has the edge (**U**,**V**).

It is guaranteed that the input describes two valid trees.

Output a single line with the uppercase letter “**Y**” if there is a subtree of **T**_{1} that is isomorphic to **T**_{2}, and the uppercase letter “**N**” otherwise.

Input Samples | Output Samples |

5 1 3 4 5 3 2 3 4 4 2 4 2 1 3 2 |
Y |

4 2 3 2 1 2 4 4 1 2 2 3 3 4 |
N |

1 1 |
Y |