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:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Gray Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Pink Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Green Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Gray Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Pink Black Purple Purple Black Purple Purple Black Purple Purple Purple Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple
Green Red Red Green Red Red Green Red Red Green Red Red Green Red Red Green Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Green Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple


Example 2
Input:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Black Black Red Black Black Red Black Black Red Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Purple Blue Orange Blue Blue Blue Brown Blue Blue Blue
Red Black Black Red Black Black Red Black Black Red Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Black Black Red Black Black Orange Black Black Red Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Black Black Red Black Black Red Black Black Brown Black

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Black Black Red Black Black Red Black Black Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Purple Blue Orange Blue Blue Blue Brown Blue Blue Blue
Red Black Black Red Black Black Red Black Black Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Black Black Red Black Black Orange Black Black Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Black Black Red Black Black Red Black Black Brown Red


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

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


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

```
Black Black Purple Purple Red Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Orange Blue Yellow Yellow Blue Blue Yellow Yellow Blue
Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue
Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue
Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Orange Gray Gray Pink
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Brown Blue Blue Yellow Yellow Blue
Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Red Black Purple Purple Black Black Purple Purple Black Black Purple Purple Black
```
assistant