You are given a sequence of balls in 4 colors: *red, green, yellow and blue*. The sequence is *full of colors* if and only if all of the following conditions are true:

- There are as many red balls as green balls.
- There are as many yellow balls as blue balls.
- Difference between the number of red balls and green balls in every
*prefix*of the sequence is at most 1. - Difference between the number of yellow balls and blue balls in every
*prefix*of the sequence is at most 1.

Your task is to write a program, which for a given sequence prints `True`

if it is *full of colors*, otherwise it prints `False`

.

**Input**

In the first line there is one number denoting the number of tests cases.

lines follow. In each of them there is a sequence of letters denoting the input sequence ( - red, - green, - yellow, - blue).

**Output**

For each test case, print `True`

if this is a sequence *full of colors*, otherwise print `False`

.

**Constraints**

Sequence will only consists of letters .

Sum of length of all sequences will not exceed .

**Notes**

A prefix of a string is a string , where .

**Sample Input**

```
4
RGGR
RYBG
RYRB
YGYGRBRB
```

**Sample Output**

```
True
True
False
False
```

**Explanation**

In the first two test cases, all four conditions are satisfied.

In the third test case, condition #1 fails as there are more red balls than green balls and condition #3 also fails for prefix "RYR" as the difference between the number of red and green balls is more than 1.
In the fourth test, for a prefix "YGYG" condition 4^{th} fails.

**Tested by** Abhiranjan