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 Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Blue Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Pink Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Green Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Green 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 Black Black Black Black

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


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

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