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 Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Yellow Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Yellow Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Pink Black Black Black Pink Black Gray Black Black Black Red Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black

Output:
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Yellow Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Yellow Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Pink Black Black Black Pink Black Gray Black Black Black Red Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black


Example 2
Input:
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Pink Black Black Black Black Black Pink Black Black Black Black Black Black Black Black
Blue Blue Orange Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Orange Blue Orange Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue
Black Orange Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Gray Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Pink Black Black Black Black Black Pink Black Black Black Black Black Black Black Black
Blue Blue Orange Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Pink Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Orange Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Orange Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Blue Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Blue Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Blue Black Black Black Black Green Black Black Orange Black Black Black Black
Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black
Green Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue
Black Black Orange Black Black Black Black Black Black Black Black Black Black Gray Black Black Orange Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black

Output:
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Blue Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Blue Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Blue Black Black Black Black Green Black Black Orange Black Black Black Black
Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Green Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black
Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue Blue
Black Black Orange Black Black Black Black Black Black Black Black Black Black Gray Black Black Orange Black Black Black Black
Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black


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