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

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


Example 2
Input:
Orange Purple Purple Purple Purple Purple Pink
Orange Brown Brown Brown Brown Brown Pink
Orange Brown Brown Brown Brown Brown Pink
Orange Brown Brown Brown Brown Brown Pink
Orange Brown Brown Brown Brown Brown Pink
Orange Black Brown Brown Brown Black Pink
Orange Green Green Green Green Green Pink

Output:
Black Purple Purple Purple Purple Purple Purple Purple Black
Orange Green Green Green Green Green Green Green Pink
Orange Green Green Green Green Green Green Green Pink
Orange Green Green Green Green Green Green Green Pink
Orange Green Green Green Green Green Green Green Pink
Orange Green Green Green Green Green Green Green Pink
Orange Green Black Green Green Green Black Green Pink
Orange Green Green Green Green Green Green Green Pink
Black Green Green Green Green Green Green Green Black


Example 3
Input:
Pink Green Green Green Green Green Green Green Blue
Pink Black Purple Purple Purple Purple Purple Purple Blue
Pink Purple Purple Purple Purple Black Black Black Blue
Pink Purple Purple Black Purple Purple Black Black Blue
Pink Purple Purple Black Black Black Black Black Blue
Pink Purple Purple Black Black Black Black Black Blue
Pink Gray Gray Gray Gray Gray Gray Gray Blue

Output:
Black Green Green Green Green Green Green Green Green Green Black
Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue
Pink Gray Black Gray Gray Gray Gray Gray Gray Gray Blue
Pink Gray Gray Gray Gray Gray Black Black Black Gray Blue
Pink Gray Gray Gray Black Gray Gray Black Black Gray Blue
Pink Gray Gray Gray Black Black Black Black Black Gray Blue
Pink Gray Gray Gray Black Black Black Black Black Gray Blue
Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black


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


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 Gray Gray Gray Gray Gray Gray Gray Gray Black
Brown Red Red Red Red Red Red Red Red Red Purple
Brown Red Black Black Red Red Black Black Black Red Purple
Brown Red Black Red Red Red Black Red Black Red Purple
Brown Red Black Black Red Red Red Red Red Red Purple
Brown Red Red Red Red Red Red Red Red Red Purple
Brown Red Red Red Red Red Red Black Black Red Purple
Brown Red Black Red Black Red Red Red Black Red Purple
Brown Red Black Black Black Red Red Black Black Red Purple
Brown Red Red Red Red Red Red Red Red Red Purple
Black Red Red Red Red Red Red Red Red Red Black
```
assistant