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 Orange Purple Purple Green Blue Orange Red Brown Pink Green Purple Orange
Green Purple Blue Green Pink Green Brown Yellow Purple Pink Brown Orange Purple
Blue Purple Pink Orange Orange Red Purple Gray Orange Red Gray Blue Orange
Pink Brown Purple Yellow Pink Brown Red Gray Gray Gray Gray Red Purple
Purple Purple Green Purple Blue Orange Brown Gray Gray Gray Gray Green Green
Green Purple Green Brown Purple Brown Yellow Pink Blue Pink Brown Blue Pink
Orange Yellow Brown Purple Pink Green Orange Green Pink Yellow Yellow Pink Red
Green Green Purple Brown Green Pink Orange Orange Brown Pink Blue Red Brown
Blue Orange Brown Purple Purple Green Brown Yellow Yellow Yellow Red Purple Pink
Pink Yellow Brown Orange Blue Purple Green Red Brown Blue Brown Blue Yellow
Brown Red Green Red Pink Orange Purple Purple Brown Purple Red Blue Green
Green Red Blue Orange Red Brown Brown Purple Brown Purple Red Orange Red
Yellow Orange Yellow Green Purple Yellow Purple Blue Orange Blue Green Blue Brown

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 2
Input:
Yellow Green Red Green Orange Blue Pink Red Pink Purple Red Blue
Orange Red Brown Blue Brown Pink Blue Pink Blue Green Purple Pink
Blue Yellow Brown Yellow Brown Brown Blue Orange Purple Blue Purple Blue
Orange Green Green Green Red Yellow Purple Green Green Yellow Purple Orange
Yellow Pink Yellow Blue Purple Brown Brown Orange Gray Gray Purple Yellow
Blue Green Red Orange Yellow Blue Brown Red Gray Gray Brown Brown
Pink Orange Orange Yellow Purple Pink Red Pink Gray Gray Yellow Brown
Red Orange Green Yellow Orange Purple Purple Red Gray Gray Orange Purple
Purple Pink Purple Yellow Red Blue Pink Pink Gray Gray Brown Purple
Orange Purple Green Purple Blue Blue Brown Brown Pink Red Brown Brown
Orange Red Yellow Red Pink Purple Pink Brown Brown Purple Green Red
Red Brown Blue Brown Green Blue Orange Brown Orange Orange Yellow Orange

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 3
Input:
Yellow Brown Green Orange Red Orange Red Pink Green Blue Purple Brown Orange Brown
Purple Pink Orange Red Red Blue Orange Brown Yellow Purple Green Green Pink Green
Brown Blue Blue Brown Orange Blue Green Purple Yellow Pink Red Yellow Orange Brown
Orange Yellow Red Red Purple Orange Purple Pink Brown Orange Yellow Orange Purple Brown
Pink Gray Gray Gray Gray Gray Red Blue Pink Yellow Blue Orange Green Brown
Orange Blue Gray Gray Gray Pink Orange Green Pink Red Purple Blue Yellow Blue
Pink Brown Red Pink Purple Brown Brown Orange Purple Brown Red Blue Green Green
Pink Pink Blue Green Orange Yellow Green Blue Yellow Red Yellow Blue Pink Purple
Purple Yellow Blue Yellow Blue Orange Brown Brown Brown Blue Purple Green Green Pink
Blue Green Brown Pink Green Blue Orange Pink Red Orange Blue Yellow Orange Orange
Brown Brown Purple Orange Green Green Red Green Brown Blue Green Green Brown Purple
Brown Red Blue Pink Orange Brown Orange Yellow Brown Purple Pink Red Blue Yellow

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Pink Red Pink Green Orange Brown Blue Pink Yellow Green Blue Blue Orange Pink
Brown Orange Pink Orange Blue Yellow Blue Brown Orange Purple Orange Orange Orange Brown
Brown Blue Green Yellow Brown Blue Purple Purple Orange Red Yellow Gray Brown Pink
Blue Red Pink Orange Orange Red Red Blue Red Brown Gray Gray Gray Brown
Purple Blue Purple Yellow Brown Purple Green Pink Purple Red Orange Gray Pink Green
Pink Green Blue Brown Green Purple Brown Brown Yellow Blue Green Red Yellow Red
Red Brown Brown Blue Brown Purple Blue Orange Orange Yellow Blue Orange Pink Yellow
Blue Pink Yellow Pink Pink Red Green Red Brown Blue Red Red Yellow Purple
Green Pink Purple Blue Pink Brown Purple Yellow Green Purple Red Red Green Green
Red Yellow Brown Purple Green Orange Red Yellow Pink Blue Pink Purple Green Purple
Red Yellow Blue Yellow Blue Yellow Red Yellow Purple Orange Yellow Orange Blue Green
Red Yellow Brown Red Pink Brown Yellow Yellow Pink Pink Orange Green Orange Pink
Pink Yellow Green Blue Pink Green Orange Red Orange Pink Orange Pink Red Purple
Brown Pink Orange Purple Purple Red Blue Red Purple Purple Red Red Orange Pink


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:

```
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant