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:
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black

Output:
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple
Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black
Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue
Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple


Example 2
Input:
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple

Output:
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue
Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple Purple Pink Pink Purple
Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue Blue Pink Pink Blue


Example 3
Input:
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue

Output:
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue Brown Brown Blue
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown
Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown


Here is the input grid for the test example:
Input:
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue
Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray
Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray 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:

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