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Given a tree with **N** nodes rooted at **1**. Each node labeled with a value **arr[i]**. The task is to find the maximum xor of any subtree (xor of all labeled values of that subtree).

**Note:** All the nodes are numbered from 1 to N.

**Input: **

1. The first line of the input contains a single integer* * **T** denoting the number of test cases. The description of **T** test cases follows.

2. The first line of each test case contains a single integer** N****.**

3. The next line contains **N** space-separated positive integers represents the node value.

4. Next **N-1** lines contain two space-separated integers **u** and **v,** represents an edge in between them

**Output:** For each test case, print the answer

**Constraints:**

1. 1 <= T <= 5

2. 1 <= N <= 10^{5}

3. 1 <= arr[i] <= 10^{5}

**Example:
Input:**

2

4

1 2 3 4

1 2

3 4

4 1

5

1 2 1 2 1

1 2

2 3

3 4

4 5

**Output:**

7

3

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Tree and XOR

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