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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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
Orange Orange Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black
Orange Orange Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black
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 Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Blue Blue Blue Blue Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Green Green Gray Gray Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Green Green Gray Gray Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black 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 Pink Pink
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue
Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Red Red Red Red Black Black Red Red
Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Red Red Red Red Black Black Red Red
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Orange Orange Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Yellow Yellow

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Pink Black Black Black Black 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 Pink Pink Blue Blue Blue Blue Black Black Green Green Yellow Yellow Black Black Black Black Black Black
Black Black Pink Pink Blue Blue Blue Blue Black Black Green Green Yellow Yellow 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 Black Blue Blue 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 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 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:

```
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant