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:
Purple Purple Black Purple Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple
Black Purple Purple Purple Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Purple Purple Black Purple Purple
Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black Purple Purple Purple Black
Purple Purple Black Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black
Purple Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple
Black Purple Black Black Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Black Black Purple
Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple
Purple Purple Purple Black Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black
Purple Purple Black Purple Purple Purple Black Purple Black Black Purple Black Purple Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Black
Black Purple Purple Purple Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Black
Purple Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Purple Black Purple Purple Black Purple Black Purple Purple Purple Purple Black Black Purple Purple Black
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Purple Black Black Purple Purple Purple Purple Purple Black Purple Black Purple Black Purple
Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange
Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange
Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange
Black Black Orange Black Black Black Orange Orange Black Orange Orange Orange Black Black Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Black Black Black
Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Orange Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange
Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black
Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Black Black Black Orange Orange Orange
Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black
Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Black Black Black Orange Orange
Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Black Black Black Black Orange
Orange Black Orange Orange Orange Black Orange Orange Orange Black Black Black Black Black Black Black Orange
Orange Orange Black Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Orange Orange
Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange
Orange Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange

Output:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange


Example 3
Input:
Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray
Gray Black Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Black Gray Black Black
Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Black Black Black Gray Gray
Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Black Black Black Black Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Black Black Black Gray Gray
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black
Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray
Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Gray Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Black Black
Black Black Gray Black Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Black Black
Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray
Black Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray Black
Gray Gray Black Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Black Gray Gray
Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray
Gray Black Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray

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


Here is the input grid for the test example:
Input:
Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink Pink Black Black Pink Pink
Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink
Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black
Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Pink
Pink Pink Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black
Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Black Pink
Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink
Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink
Pink Pink Pink Black Black Pink Black Pink Black Pink Black Black Black Black Black Black Pink Black Pink
Pink Pink Black Pink Black Pink Pink Pink Black Pink Black Black Black Black Black Black Pink Pink Pink
Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Pink Black
Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Pink Black Pink
Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Pink Black Pink
Pink Pink Pink Black Black Black Pink Black Pink Pink Pink Pink Black Black Pink Black Black Black Black
Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Pink
Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Black Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink


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:

```
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
```
assistant