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

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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Blue 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


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

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 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 Black Black Black Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue 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


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 Blue Purple Black Black Black Black Black Black Black Black Black
Black Black Gray Purple Purple Yellow Black Gray Black Black Black Black Black Black
Black Black Black Purple Blue Pink Purple Purple Blue Black Black Black Black Black
Black Black Yellow Pink Yellow Yellow Blue Purple Purple Black Black Black Black Black
Black Purple Purple Blue Yellow Yellow Pink Yellow Black Black Black Black Black Black
Black Blue Purple Purple Pink Blue Purple Black Black Black Black Black Black Black
Black Black Gray Black Yellow Purple Purple Gray Black Black Black Black Black Black
Black Black Black Black Black Purple 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


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 Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue 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
```
assistant