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

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


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

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


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


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 Pink Pink Pink Black Blue Blue Black Black Black Black
Black Black Black Black Pink Pink Pink Black 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 Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Yellow Yellow Black Blue Blue Brown Brown Black Brown Brown Black
Black Black Black Yellow Yellow Black Blue Blue Black Black Black Brown Brown Black
Black Black Gray Gray Gray Black Yellow Yellow Black Black Black Green Green Black
Black Black Black Gray Gray Black Black Black Black Black Black Green Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Yellow Green Purple 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 Black Black Black Black Black
```
assistant