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

Output:
Gray Black Gray Gray Gray Gray Black Gray
Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Black Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray
Gray Gray Black Gray Gray Gray Gray Gray


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

Output:
Gray Gray Gray Gray Gray Gray Gray
Gray Black Gray Gray Black Gray Gray
Gray Gray Black Gray Gray Black Black
Gray Gray Gray Gray Black 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:
Pink Brown Purple Red Blue Green Yellow Yellow Black
Brown Blue Purple Yellow Brown Red Pink Orange Purple
Pink Yellow Green Orange Purple Blue Black Red Red
Pink Black Yellow Black Brown Pink Orange Purple Brown
Brown Purple Brown Red Red Orange Blue Orange Red
Yellow Red Blue Yellow Blue Red Blue Black Green
Red Brown Pink Black Black Yellow Purple Red Yellow

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Gray
Gray Black Gray Black Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Gray
Gray Gray Gray Black Black Gray Gray Gray Gray


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


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 Black Gray Black Gray Gray Gray Gray
Gray Gray Gray Black Black Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Black Gray Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant