You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.
system
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Pink Pink Gray Gray Blue Blue
Pink Pink Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue
Pink Pink Red Red Gray Gray
Pink Pink Red Red Gray Gray

Output:
Purple Purple Brown Brown Yellow Yellow
Purple Purple Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Yellow Yellow
Purple Purple Green Green Brown Brown
Purple Purple Green Green Brown Brown


Example 2
Input:
Gray Gray Blue Blue Gray Gray
Gray Gray Blue Blue Gray Gray
Gray Gray Gray Gray Red Red
Gray Gray Gray Gray Red Red
Pink Pink Blue Blue Pink Pink
Pink Pink Blue Blue Pink Pink

Output:
Brown Brown Yellow Yellow Brown Brown
Brown Brown Yellow Yellow Brown Brown
Brown Brown Brown Brown Green Green
Brown Brown Brown Brown Green Green
Purple Purple Yellow Yellow Purple Purple
Purple Purple Yellow Yellow Purple Purple


Example 3
Input:
Blue Blue Gray Gray Blue Blue
Blue Blue Gray Gray Blue Blue
Blue Blue Pink Pink Gray Gray
Blue Blue Pink Pink Gray Gray
Red Red Red Red Blue Blue
Red Red Red Red Blue Blue

Output:
Yellow Yellow Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Yellow Yellow
Yellow Yellow Purple Purple Brown Brown
Yellow Yellow Purple Purple Brown Brown
Green Green Green Green Yellow Yellow
Green Green Green Green Yellow Yellow


Here is the input grid for the test example:
Input:
Pink Pink Blue Blue Pink Pink
Pink Pink Blue Blue Pink Pink
Pink Pink Pink Pink Blue Blue
Pink Pink Pink Pink Blue Blue
Gray Gray Blue Blue Red Red
Gray Gray Blue Blue Red Red


Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
user
The output grid for the test input grid is:

```
Purple Purple Yellow Yellow Purple Purple
Purple Purple Yellow Yellow Purple Purple
Purple Purple Purple Purple Yellow Yellow
Purple Purple Purple Purple Yellow Yellow
Brown Brown Yellow Yellow Green Green
Brown Brown Yellow Yellow Green Green
```
assistant