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 Purple Purple Black Purple Purple Orange Orange Blue Black Black
Black Black Black Black Purple Red Purple Black Gray Orange Orange Pink Black
Black Black Black Red Purple Red Purple Red Black Pink Pink Black Black
Black Black Black Pink Brown Red Brown Pink Gray Orange Orange Pink Black
Black Black Black Blue Blue Red Blue Black Orange Orange Blue Black Black
Black Black Black Blue Black Black Brown Black Black Black Black Black Black
Black Black Black Blue Blue Green Green Black Black Black Black Black Black
Black Black Black Blue Blue Green Green Black Black Black Purple Black Black
Black Black Black Blue Black Black Brown Black Gray Gray Gray Gray Gray
Black Black Black Blue Orange Black Orange Black Brown Brown Red Brown Brown
Black Black Black Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown
Black Black Black Black Blue Yellow Blue Black Red Brown Brown Brown Red
Black Black Black Brown Yellow Yellow Yellow Brown Black Black Black Black Black

Output:
Black Black Black Red Red Black Red Red Red Red Red Black Black
Black Black Black Black Red Red Red Black Red Red Red Red Black
Black Black Black Red Red Red Red Red Black Red Red Black Black
Black Black Black Red Red Red Red Red Red Red Red Red Black
Black Black Black Red Red Red Red Black Red Red Red Black Black
Black Black Black Red Black Black Red Black Black Black Black Black Black
Black Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Black Red Red Red Red Black Black Black Red Black Black
Black Black Black Red Black Black Red Black Red Red Red Red Red
Black Black Black Red Red Black Red Black Red Red Red Red Red
Black Black Black Red Red Red Red Red Red Brown Red Brown Red
Black Black Black Black Red Red Red Black Red Red Red Red Red
Black Black Black Red Red Red Red Red Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Pink Pink Pink Black Black Black Black
Black Orange Pink Gray Pink Pink Purple Pink Pink Black Black Black
Black Green Purple Gray Green Green Green Green Green Black Black Black
Black Orange Blue Blue Green Green Black Green Green Black Black Black
Black Orange Blue Blue Green Green Black Green Green Black Black Black
Black Green Purple Gray Black Black Black Red Brown Brown Brown Orange
Black Orange Pink Gray Black Black Black Black Orange Green Orange Orange
Black Black Black Black Black Black Black Black Brown Brown Orange Black
Black Black Black Black Black Black Black Green Orange Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Pink Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Blue
Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Red Red Red Black Black Black Black
Black Red Red Red Red Red Red Red Red Black Black Black
Black Red Red Red Red Red Red Red Red Black Black Black
Black Red Red Red Red Red Black Red Red Black Black Black
Black Red Red Red Red Red Black Red Red Black Black Black
Black Red Red Red Black Black Black Red Red Red Red Red
Black Red Red Red Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Red Red Red Black
Black Black Black Black Black Black Black Red Red Red Black Black
Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Orange Black Purple Orange Black Black Black
Black Black Black Black Black Purple Blue Blue Purple Black Black Black
Black Black Black Black Black Purple Blue Blue Purple Black Black Black
Black Black Black Black Purple Purple Brown Brown Black Black Black Black
Black Black Pink Brown Purple Purple Brown Pink Black Black Black Black
Black Black Black Pink Gray Gray Pink Black Black Black Black Black
Black Black Blue Pink Gray Gray Pink Blue Black Black Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black
Black Black Gray Yellow Purple Purple Yellow Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Red Purple Red Black Black Black
Black Black Black Black Black Red Black Red Red Black Black Black
Black Black Black Black Black Red Red Red Red Black Black Black
Black Black Black Black Black Red Red Red Red Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black
Black Black Red Red Red Red Red Red Black Black Black Black
Black Black Black Red Red Red Red Black Black Black Black Black
Black Black Red Red Red Red Red Red Black Black Black Black
Black Black Red Red Red Red Red Red Black Black Black Black
Black Black Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black


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

```
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 Red Red Red Red 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 Red Red 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 Red Red Black Red Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Black Black Black Black Black Black Black
Black Black Black Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Red Black Red Red Black Black Black Black Black Black Black
```
assistant