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

Output:
Orange Orange Purple Purple Blue Blue Blue Blue Gray Gray Yellow Yellow Gray Gray Purple Purple
Orange Orange Purple Purple Blue Blue Blue Blue Gray Gray Yellow Yellow Gray Gray Purple Purple
Orange Orange Purple Purple Blue Blue Blue Blue Purple Purple Yellow Yellow Brown Brown Purple Purple
Orange Orange Purple Purple Blue Blue Blue Blue Purple Purple Yellow Yellow Brown Brown Purple Purple
Orange Orange Blue Blue Blue Blue Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple
Orange Orange Blue Blue Blue Blue Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple
Orange Orange Brown Brown Yellow Yellow Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple
Orange Orange Brown Brown Yellow Yellow Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple
Orange Orange Yellow Yellow Gray Gray Gray Gray Blue Blue Gray Gray Blue Blue Purple Purple
Orange Orange Yellow Yellow Gray Gray Gray Gray Blue Blue Gray Gray Blue Blue Purple Purple
Orange Orange Brown Brown Purple Purple Brown Brown Blue Blue Brown Brown Gray Gray Purple Purple
Orange Orange Brown Brown Purple Purple Brown Brown Blue Blue Brown Brown Gray Gray Purple Purple
Orange Orange Gray Gray Purple Purple Gray Gray Brown Brown Yellow Yellow Blue Blue Purple Purple
Orange Orange Gray Gray Purple Purple Gray Gray Brown Brown Yellow Yellow Blue Blue Purple Purple
Orange Orange Gray Gray Gray Gray Brown Brown Blue Blue Yellow Yellow Brown Brown Purple Purple
Orange Orange Gray Gray Gray Gray Brown Brown Blue Blue Yellow Yellow Brown Brown Purple Purple


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

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


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

Output:
Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Green Green Purple Purple
Orange Orange Yellow Yellow Blue Blue Blue Blue Blue Blue Green Green Purple Purple
Orange Orange Green Green Gray Gray Yellow Yellow Blue Blue Yellow Yellow Purple Purple
Orange Orange Green Green Gray Gray Yellow Yellow Blue Blue Yellow Yellow Purple Purple
Orange Orange Green Green Pink Pink Gray Gray Pink Pink Green Green Purple Purple
Orange Orange Green Green Pink Pink Gray Gray Pink Pink Green Green Purple Purple
Orange Orange Gray Gray Yellow Yellow Pink Pink Yellow Yellow Green Green Purple Purple
Orange Orange Gray Gray Yellow Yellow Pink Pink Yellow Yellow Green Green Purple Purple
Orange Orange Pink Pink Green Green Yellow Yellow Blue Blue Blue Blue Purple Purple
Orange Orange Pink Pink Green Green Yellow Yellow Blue Blue Blue Blue Purple Purple
Orange Orange Yellow Yellow Yellow Yellow Blue Blue Green Green Gray Gray Purple Purple
Orange Orange Yellow Yellow Yellow Yellow Blue Blue Green Green Gray Gray Purple Purple
Orange Orange Pink Pink Gray Gray Yellow Yellow Gray Gray Pink Pink Purple Purple
Orange Orange Pink Pink Gray Gray Yellow Yellow Gray Gray Pink Pink Purple Purple
Orange Orange Yellow Yellow Green Green Pink Pink Gray Gray Pink Pink Purple Purple
Orange Orange Yellow Yellow Green Green Pink Pink Gray Gray Pink Pink Purple Purple
Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple
Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple


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

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