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 Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black
Black Black Black Black Brown Brown Black Gray Black Gray Black Black Black
Black Black Black Black Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Purple Black Black Black
Black Black Black Black Brown Brown Brown Purple Purple Purple Black Black Black
Black Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Black Black Black Black Black Black Black Black Black
Purple Black Purple Black Gray Gray Gray Gray Gray Black Black Black
Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Black Black
Purple Purple Purple Gray Black Gray Black Gray Black Gray Black Black
Black Black Black Black Pink Pink Pink Black Pink Pink Pink Black
Red Red Red Black Pink Pink Pink Pink Pink Pink Pink Black
Red Red Red Black Pink Black Black Pink Black Black Pink Black
Red Black Red Black Pink Pink Black Pink Black Pink Pink Black
Red Black 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Yellow Black Black Black Black Black Black Black Black Black
Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black
Yellow Yellow Yellow Yellow Yellow Gray Yellow Gray Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Black Black
Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black
Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Yellow Yellow Yellow Black Yellow Black Black Yellow Black Black Yellow Black
Yellow Black Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Black
Yellow Black 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


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

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

```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Brown Yellow Black
Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Yellow Black Black
Black Black Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Black Yellow Yellow Black Black Yellow Blue Blue Blue Yellow
Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Blue Yellow Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Black
Black Black Black Black Black Black Black Yellow Blue Yellow Yellow Yellow 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
```
assistant