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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple 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 Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black
Orange Purple Purple Purple Purple Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black
Pink Pink Orange Pink Pink Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Blue Orange Orange Orange Orange Orange
Brown Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange
Black Black Black Black Brown Black Black Black Black Black Black
Black Pink Pink Pink Pink Pink Black Black Black Black Black
Black Pink Pink Pink Pink Yellow Black Black Black Black Black
Black Pink Pink Pink Pink Pink Black Black Black Black Black
Black Pink Pink Pink Pink Pink Yellow Black Black Black Black
Black Pink Pink Pink Pink Pink Black Black Black Black Black
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Brown Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange
Black Black Black Black Black Orange Orange Orange Orange Orange Orange


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