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

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


Example 2
Input:
Brown Gray Brown Black
Brown Gray Brown Black
Brown Green Brown Black
Black Black Black Black

Output:
Brown Gray Brown Brown Brown Brown Black Black Black Black Black Black
Brown Gray Brown Gray Gray Green Black Black Black Black Black Black
Brown Green Brown Brown Brown Brown Black Black Black Black Black Black
Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black
Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black
Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black


Example 3
Input:
Red Blue Yellow Black
Pink Brown Pink Black
Pink Pink Pink Black
Black Black Black Black

Output:
Red Blue Yellow Yellow Pink Pink Black Black Black Black Black Black
Pink Brown Pink Blue Brown Pink Black Black Black Black Black Black
Pink Pink Pink Red Pink Pink Black Black Black Black Black Black
Red Red Blue Blue Yellow Yellow Black Black Black Black Black Black
Red Red Blue Blue Yellow Yellow Black Black Black Black Black Black
Pink Pink Brown Brown Pink Pink Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Pink Blue Purple Black
Blue Blue Yellow Black
Pink Blue Purple Black
Black Black Black Black


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:

```
Pink Blue Purple Purple Yellow Purple Black Black Black Black Black Black
Blue Blue Yellow Blue Blue Blue Black Black Black Black Black Black
Pink Blue Purple Pink Blue Pink Black Black Black Black Black Black
Pink Pink Blue Blue Purple Purple Black Black Black Black Black Black
Pink Pink Blue Blue Purple Purple Black Black Black Black Black Black
Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black
```
assistant