Graph painting

• Time limit: 1.00 s
• Memory limit: 256 MB

You are given a simple, undirected graph that consists of $n$ nodes and $m$ edges.

Your task is to paint each node red or blue so that there are at least $\lfloor m/2 \rfloor$ edges such that their nodes have a different color.

Input

The first input line contains an integer $t$: the number of test cases. After this, there are $t$ test cases that are described as follows:

The first line contains two integers $n$ and $m$: the number of nodes and edges in the graph. The nodes are numbered $1,2,\ldots,n$.

After this, there are $m$ lines that describe the edges. Each line contains two integers $a$ and $b$. This means that there is an edge between nodes $a$ and $b$.

Output

For each test case, output a line that contains $n$ space separated characters that describe the colors of the nodes. Each character must be R (red) or B (blue).

There is always a solution, and you can output any valid solution.

Constraints

• $1 \le t \le 100$
  
• $2 \le n \le 10^5$
  
• $1 \le m \le 2 \cdot 10^5$
  
• the sum of all $n$ and $m$ values it at most $10^6$
  

Example

Input:
3
2 1
1 2
4 4
1 2
2 3
3 4
1 4
5 3
1 2
1 3
1 4

Output:
R B
B B R B
R B B B B