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

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


Example 2
Input:
Black Black Black Black Green Green Green Orange Orange Black Black Black Black Black Black
Black Black Black Black Green Green Green Orange 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 Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Pink Gray Gray Gray Black
Pink Black Black Black Black Black Black Black Black Green Green Black Black Black Black
Pink Black Black Black Black Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Purple Black Black Black Black
Orange Orange Black Black Black Black Black Gray Black Black Black Black Black Black Black
Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black

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


Example 3
Input:
Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Pink Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Pink Black Black Black Black Black Green Green Green Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Green Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Green Yellow Yellow Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Yellow Yellow Black
Black Black Black Green Green Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black

Output:
Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Red Red Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Red Red Red Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Red Red Red Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Red Red Red Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red Black
Black Black Black Green Green Black Black Black Black Black Black Black Red Red Black Black
Black Black Blue Black Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Red Red Red Black
Black Black Black Black Black Black Black Black Black Blue Blue Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black


Here is the input grid for the test example:
Input:
Black Gray Gray Black Black 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 Blue Blue 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 Brown Black Purple Black Black Black Black Black Black
Black Black Black Black Black Brown Black Purple Black Gray Black Black Black Black
Black Blue Blue Blue Black Gray Black Blue Black Gray Black Black Black Black
Black Black Black Black Black Gray Purple Blue Brown Brown Black Black Black Black
Black Black Black Black Red Gray Purple Blue Brown Brown Black Black Black Black
Black Black Black Black Red 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 Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue 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 Red Red Black Black Red Red Red 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 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 Brown Black Purple Black Black Black Black Black Black
Black Black Black Black Black Brown Black Purple Black Gray Black Black Black Black
Black Blue Blue Blue Black Gray Black Blue Black Gray Black Black Black Black
Black Black Black Black Black Gray Purple Blue Brown Brown Black Black Black Black
Black Black Black Black Red Gray Purple Blue Brown Brown Black Black Black Black
Black Black Black Black Red 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 Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Black Black
```
assistant