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:
Blue Yellow Purple Blue Gray Gray Brown Gray
Brown Gray Gray Purple Yellow Brown Yellow Purple
Purple Gray Yellow Blue Purple Purple Yellow Brown
Blue Yellow Yellow Yellow Blue Purple Blue Purple
Blue Brown Gray Yellow Gray Yellow Gray Yellow
Gray Brown Blue Blue Brown Purple Gray Gray
Brown Brown Gray Yellow Purple Purple Brown Brown
Yellow Purple Purple Gray Brown Yellow Purple Gray
Gray Yellow Blue Purple Brown Blue Blue Purple
Blue Blue Gray Blue Gray Gray Blue Yellow
Blue Gray Purple Brown Yellow Purple Gray Purple
Purple Gray Purple Gray Yellow Blue Yellow Brown

Output:
Blue Yellow Purple Blue Gray Gray Brown Gray
Brown Red Gray Purple Yellow Brown Yellow Purple
Purple Gray Yellow Blue Purple Red Yellow Brown
Blue Yellow Red Red Blue Purple Blue Purple
Blue Brown Gray Yellow Gray Yellow Gray Yellow
Gray Red Blue Blue Brown Purple Red Gray
Brown Red Gray Yellow Purple Red Brown Brown
Yellow Purple Purple Gray Brown Yellow Purple Gray
Gray Yellow Blue Purple Brown Blue Red Purple
Red Blue Gray Blue Gray Gray Blue Yellow
Blue Gray Purple Brown Yellow Purple Gray Purple
Purple Gray Purple Gray Yellow Blue Yellow Brown


Example 2
Input:
Pink Green Purple Purple Green Purple Purple
Purple Pink Purple Green Green Purple Orange
Orange Gray Gray Orange Orange Pink Gray
Gray Green Pink Green Orange Pink Gray
Purple Green Pink Gray Purple Purple Green
Gray Green Gray Pink Green Purple Orange
Orange Pink Purple Gray Orange Pink Gray
Orange Pink Pink Purple Pink Green Pink
Orange Green Pink Gray Orange Orange Orange
Orange Purple Gray Purple Gray Purple Purple

Output:
Pink Green Red Purple Green Red Purple
Purple Pink Purple Green Red Purple Orange
Orange Gray Gray Orange Red Pink Gray
Gray Green Pink Green Orange Pink Gray
Purple Red Pink Gray Purple Red Green
Gray Green Gray Pink Green Purple Orange
Orange Pink Purple Gray Orange Pink Gray
Red Red Red Purple Pink Green Pink
Red Green Pink Gray Orange Red Orange
Orange Purple Gray Purple Gray Purple Purple


Example 3
Input:
Gray Pink Yellow Pink Green Yellow Green
Pink Yellow Blue Pink Yellow Pink Pink
Yellow Green Green Yellow Pink Gray Blue
Yellow Blue Green Green Pink Yellow Gray
Gray Blue Gray Blue Gray Green Yellow
Green Gray Yellow Pink Blue Green Gray
Gray Gray Pink Green Pink Yellow Green
Green Green Yellow Green Pink Gray Blue
Pink Pink Green Green Gray Green Blue
Gray Yellow Green Yellow Green Yellow Yellow
Yellow Yellow Yellow Yellow Gray Yellow Yellow

Output:
Gray Pink Yellow Pink Green Yellow Green
Pink Yellow Blue Pink Yellow Pink Pink
Yellow Green Red Yellow Pink Gray Blue
Yellow Blue Red Green Pink Yellow Gray
Gray Blue Gray Blue Gray Green Yellow
Green Gray Yellow Pink Blue Green Gray
Gray Red Pink Green Pink Yellow Green
Green Green Yellow Red Pink Gray Blue
Pink Pink Red Red Gray Green Blue
Gray Yellow Green Yellow Green Red Red
Yellow Red Red Red Gray Red Red


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


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:

```
Blue Red Brown Blue Red Gray Red Red Brown
Blue Red Purple Red Blue Purple Red Purple Gray
Red Gray Blue Red Purple Gray Blue Gray Blue
Brown Blue Red Red Blue Purple Gray Blue Brown
Blue Brown Red Red Brown Red Purple Red Blue
Brown Purple Red Blue Brown Gray Red Purple Gray
Red Brown Red Brown Red Brown Purple Blue Red
Brown Red Purple Red Blue Brown Purple Blue Brown
Blue Blue Gray Blue Purple Gray Brown Red Blue
```
assistant