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:
Gray Purple Brown Gray Gray Blue Purple Gray Purple Purple Purple Blue Gray Blue
Blue Brown Purple Gray Red Brown Gray Gray Brown Purple Brown Brown Blue Gray
Red Red Purple Gray Red Red Brown Blue Gray Gray Brown Gray Brown Brown
Red Red Red Gray Blue Red Red Red Brown Purple Gray Purple Blue Red
Red Red Gray Gray Gray Red Brown Red Red Red Purple Purple Red Purple
Gray Blue Brown Gray Gray Brown Purple Red Red Gray Red Red Red Gray
Gray Purple Purple Gray Blue Brown Blue Purple Purple Gray Purple Gray Purple Brown
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Brown Blue Gray Purple Blue Blue Brown Red Red Brown Blue Red Purple
Blue Brown Blue Gray Blue Red Gray Red Purple Blue Purple Red Red Red
Red Red Red Gray Blue Brown Purple Red Gray Red Gray Purple Blue Red
Gray Gray Brown Gray Blue Blue Blue Red Red Blue Blue Gray Red Brown
Gray Blue Blue Gray Blue Blue Brown Blue Purple Brown Red Brown Purple Gray
Red Blue Red Gray Gray Brown Red Red Brown Red Gray Gray Brown Gray

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


Example 2
Input:
Red Red Yellow Blue Red Blue Red Brown Gray Gray Brown Blue Yellow Blue
Red Blue Brown Red Blue Brown Red Yellow Gray Brown Red Red Brown Brown
Yellow Red Yellow Red Yellow Yellow Red Gray Gray Blue Brown Yellow Red Gray
Red Blue Red Yellow Blue Blue Yellow Red Gray Brown Blue Blue Gray Yellow
Red Yellow Yellow Blue Red Gray Blue Red Gray Gray Red Red Red Gray
Gray Gray Brown Blue Gray Gray Yellow Brown Gray Brown Blue Red Yellow Blue
Red Blue Brown Gray Blue Red Brown Yellow Gray Red Red Blue Brown Red
Yellow Yellow Red Yellow Red Blue Gray Blue Gray Gray Blue Red Brown Blue
Yellow Red Red Gray Yellow Brown Yellow Gray Gray Red Gray Red Brown Red
Gray Gray Yellow Red Red Yellow Red Gray Gray Brown Red Gray Gray Gray
Red Gray Blue Gray Blue Blue Blue Blue Gray Gray Yellow Red Blue Red
Gray Gray Gray Red Blue Brown Blue Gray Gray Red Red Yellow Blue Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Red Brown Yellow Yellow Red Red Gray Gray Brown Yellow Red Yellow Yellow
Brown Brown Brown Yellow Red Red Red Red Gray Yellow Brown Gray Yellow Blue
Red Red Gray Blue Red Red Red Brown Gray Yellow Gray Red Yellow Yellow
Brown Gray Yellow Gray Blue Brown Yellow Gray Gray Brown Brown Red Brown Brown

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


Example 3
Input:
Yellow Yellow Red Gray Yellow Red Green Orange Pink Orange Pink Orange Orange Pink Pink
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Pink Yellow Red Gray Orange Pink Orange Orange Orange Red Green Green Pink Red Orange
Orange Pink Green Gray Yellow Yellow Orange Red Yellow Yellow Pink Pink Orange Red Green
Green Red Red Gray Orange Yellow Green Pink Red Red Orange Red Orange Red Yellow
Pink Yellow Yellow Gray Orange Red Red Orange Green Yellow Yellow Red Yellow Green Pink
Red Orange Pink Gray Yellow Red Yellow Yellow Pink Pink Green Yellow Yellow Orange Pink
Yellow Red Orange Gray Green Green Yellow Red Orange Orange Pink Pink Yellow Pink Orange
Pink Pink Green Gray Green Green Red Red Yellow Yellow Green Green Red Pink Orange
Red Orange Pink Gray Green Orange Green Red Yellow Green Yellow Yellow Yellow Red Orange
Green Green Green Gray Pink Pink Red Green Yellow Red Green Orange Pink Orange Red
Red Orange Green Gray Yellow Green Red Pink Green Red Pink Orange Yellow Orange Yellow
Red Orange Orange Gray Pink Green Red Red Red Orange Pink Orange Yellow Green Green
Red Red Green Gray Orange Red Green Red Yellow Yellow Red Yellow Pink Pink Red
Red Green Yellow Gray Orange Green Orange Pink Green Yellow Orange Yellow Green Pink Green
Yellow Green Green Gray Green Green Orange Red Yellow Green Green Yellow Pink Pink Pink
Yellow Orange Red Gray Green Orange Red Red Yellow Red Green Pink Red Red Green
Yellow Red Yellow Gray Red Orange Orange Orange Pink Green Orange Orange Pink Orange Green
Green Pink Red Gray Orange Yellow Red Yellow Orange Red Orange Pink Pink Orange Orange

Output:
Orange Pink Orange Orange Orange Red Green Green Pink Red Orange
Yellow Yellow Orange Red Yellow Yellow Pink Pink Orange Red Green
Orange Yellow Green Pink Red Red Orange Red Orange Red Yellow
Orange Red Red Orange Green Yellow Yellow Red Yellow Green Pink
Yellow Red Yellow Yellow Pink Pink Green Yellow Yellow Orange Pink
Green Green Yellow Red Orange Orange Pink Pink Yellow Pink Orange
Green Green Red Red Yellow Yellow Green Green Red Pink Orange
Green Orange Green Red Yellow Green Yellow Yellow Yellow Red Orange
Pink Pink Red Green Yellow Red Green Orange Pink Orange Red
Yellow Green Red Pink Green Red Pink Orange Yellow Orange Yellow
Pink Green Red Red Red Orange Pink Orange Yellow Green Green
Orange Red Green Red Yellow Yellow Red Yellow Pink Pink Red
Orange Green Orange Pink Green Yellow Orange Yellow Green Pink Green
Green Green Orange Red Yellow Green Green Yellow Pink Pink Pink
Green Orange Red Red Yellow Red Green Pink Red Red Green
Red Orange Orange Orange Pink Green Orange Orange Pink Orange Green
Orange Yellow Red Yellow Orange Red Orange Pink Pink Orange Orange


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


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:

```
Yellow Purple Gray Purple Purple Gray
Purple Red Purple Red Red Brown
Red Gray Gray Red Yellow Brown
Red Red Purple Red Purple Yellow
Gray Brown Brown Purple Brown Yellow
Purple Purple Purple Gray Red Purple
Yellow Yellow Red Gray Yellow Red
Red Yellow Yellow Purple Red Yellow
Brown Brown Red Gray Gray Yellow
Yellow Red Purple Brown Purple Red
Yellow Purple Gray Purple Yellow Gray
Purple Yellow Yellow Yellow Gray Brown
Red Red Purple Red Purple Yellow
```
assistant