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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Black Pink Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Pink Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Green Green Green Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Green Green Green Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Green Green Green Pink Black
Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Green Green Green Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Green Green Green Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Green Green Green Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Purple Pink Pink Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Gray Brown Brown Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Red Gray Gray Gray Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Red Gray Gray Gray Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Gray Brown Brown Purple Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Red Gray Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Red Gray Gray Gray Purple Purple Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black
Red Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black
Red Red Red Red Brown Brown Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Here is the input grid for the test example:
Input:
Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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:

```
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant