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:
Blue Pink Orange Pink Orange Pink Blue Blue Blue Pink Pink Orange Black Blue Blue Blue Black Blue Pink Black Orange Blue
Orange Black Blue Orange Pink Pink Pink Pink Orange Blue Blue Orange Pink Orange Blue Pink Blue Orange Orange Orange Orange Orange
Pink Orange Blue Orange Orange Pink Pink Blue Blue Blue Blue Blue Orange Pink Orange Orange Black Black Pink Pink Pink Pink
Orange Orange Black Pink Pink Blue Orange Blue Blue Orange Blue Orange Orange Orange Blue Pink Orange Blue Pink Black Pink Pink
Orange Pink Orange Blue Black Blue Pink Orange Blue Orange Orange Orange Black Black Pink Blue Orange Blue Black Orange Blue Pink
Orange Blue Pink Pink Pink Pink Black Orange Pink Black Pink Orange Blue Pink Orange Black Blue Pink Pink Orange Blue Blue
Pink Orange Blue Black Blue Blue Pink Blue Black Pink Blue Pink Blue Blue Blue Black Black Orange Pink Blue Pink Orange
Blue Orange Pink Orange Blue Orange Pink Black Blue Blue Orange Blue Blue Orange Blue Blue Blue Pink Pink Blue Orange Black
Black Black Orange Black Pink Blue Orange Orange Orange Pink Pink Orange Orange Pink Blue Black Pink Blue Black Pink Blue Orange
Orange Pink Blue Pink Orange Orange Blue Black Orange Pink Blue Blue Blue Pink Pink Pink Blue Orange Pink Orange Orange Orange
Orange Blue Orange Blue Pink Blue Pink Blue Pink Blue Orange Blue Pink Pink Pink Blue Pink Pink Blue Blue Pink Pink
Orange Blue Blue Orange Orange Black Blue Orange Orange Orange Orange Blue Orange Black Pink Blue Black Pink Orange Blue Black Pink
Blue Orange Blue Blue Pink Orange Blue Orange Pink Blue Orange Orange Pink Blue Orange Pink Blue Pink Orange Blue Orange Pink
Blue Blue Blue Blue Orange Orange Blue Pink Orange Blue Blue Pink Orange Black Pink Orange Pink Blue Pink Orange Blue Orange
Orange Pink Pink Orange Pink Orange Orange Pink Pink Orange Orange Orange Blue Orange Blue Orange Pink Blue Blue Pink Pink Blue
Blue Pink Pink Orange Blue Blue Black Orange Pink Pink Pink Pink Pink Orange Blue Orange Orange Pink Orange Blue Pink Orange
Pink Pink Blue Pink Orange Orange Black Blue Orange Black Blue Pink Pink Pink Orange Pink Pink Orange Black Black Blue Pink
Pink Blue Orange Orange Pink Pink Blue Orange Blue Blue Blue Orange Orange Black Pink Blue Black Pink Pink Blue Orange Pink

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue
Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue
Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue
Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue
Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue
Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue


Example 2
Input:
Purple Blue Brown Blue Black Purple Blue Brown Purple Brown Purple Blue Brown Purple Blue Black Brown Blue Brown
Brown Purple Black Brown Purple Blue Blue Blue Blue Purple Black Black Purple Purple Brown Black Black Purple Purple
Brown Blue Brown Purple Brown Purple Blue Brown Blue Blue Blue Brown Blue Black Black Blue Purple Brown Brown
Brown Purple Brown Purple Brown Brown Brown Brown Brown Blue Blue Purple Blue Brown Black Blue Blue Purple Brown
Purple Blue Blue Brown Purple Blue Purple Purple Brown Blue Blue Purple Black Purple Brown Blue Blue Blue Blue
Purple Brown Purple Purple Brown Brown Brown Blue Brown Brown Purple Purple Blue Purple Blue Blue Purple Black Blue
Brown Brown Purple Blue Blue Blue Brown Blue Purple Blue Blue Brown Purple Brown Brown Brown Black Blue Brown
Brown Blue Purple Brown Purple Brown Purple Purple Brown Blue Blue Black Purple Blue Brown Blue Blue Blue Brown
Blue Blue Purple Brown Brown Brown Blue Brown Purple Blue Blue Black Blue Black Brown Black Blue Purple Brown
Blue Purple Blue Brown Purple Blue Purple Brown Blue Brown Brown Blue Purple Blue Blue Brown Blue Purple Brown
Purple Brown Brown Purple Blue Blue Black Purple Brown Blue Black Brown Blue Purple Purple Purple Purple Purple Purple
Brown Brown Purple Purple Purple Brown Blue Brown Brown Blue Blue Brown Blue Blue Purple Brown Blue Brown Brown
Brown Purple Purple Black Brown Brown Brown Blue Brown Brown Blue Brown Black Blue Blue Brown Blue Brown Purple
Purple Brown Brown Blue Brown Purple Blue Brown Purple Blue Purple Purple Purple Brown Purple Blue Brown Blue Purple
Purple Blue Blue Black Purple Purple Brown Brown Purple Blue Brown Brown Purple Blue Blue Brown Blue Brown Blue
Blue Brown Purple Purple Blue Blue Brown Purple Purple Blue Black Black Blue Purple Purple Blue Purple Purple Brown
Brown Black Blue Purple Blue Purple Blue Purple Purple Brown Purple Purple Purple Black Purple Blue Brown Purple Brown
Purple Black Brown Black Purple Black Blue Purple Black Purple Blue Purple Purple Purple Purple Black Blue Purple Brown
Brown Purple Brown Black Black Blue Purple Blue Brown Purple Purple Brown Black Purple Brown Purple Brown Blue Blue

Output:
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple 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 Purple Purple
Purple Purple Purple Purple Purple 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 Purple Black Purple 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 Purple Purple Black Purple Black Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black 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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Purple Black Purple Black Purple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple


Example 3
Input:
Blue Blue Black Black Purple Black Purple Purple Blue Purple Black Black Black Black Black Purple Purple Blue Black Purple
Black Black Blue Purple Black Black Black Black Black Blue Blue Blue Black Purple Blue Black Purple Blue Blue Purple
Black Blue Black Blue Black Blue Black Blue Blue Purple Purple Blue Black Black Black Purple Blue Purple Purple Blue
Purple Blue Purple Black Purple Black Blue Blue Purple Black Purple Blue Purple Blue Blue Blue Blue Black Blue Purple
Black Purple Blue Blue Black Purple Purple Blue Black Purple Blue Black Purple Purple Black Black Black Blue Purple Blue
Purple Purple Black Blue Purple Blue Black Blue Black Black Purple Black Black Black Purple Purple Purple Blue Purple Purple
Blue Black Purple Black Black Blue Black Blue Purple Blue Black Blue Blue Blue Purple Purple Purple Black Black Blue
Blue Purple Black Purple Blue Blue Purple Purple Black Black Blue Blue Black Blue Purple Black Black Black Blue Black
Black Purple Purple Blue Black Blue Blue Black Blue Black Purple Purple Black Purple Purple Blue Black Black Blue Black
Black Black Purple Purple Purple Blue Blue Black Purple Black Blue Black Black Black Blue Blue Blue Black Purple Purple
Black Black Blue Purple Blue Blue Blue Blue Black Black Purple Blue Black Black Black Black Black Black Black Blue
Black Black Blue Purple Black Blue Black Black Blue Blue Purple Purple Purple Black Black Black Purple Blue Black Purple
Blue Black Black Black Purple Blue Blue Blue Black Black Black Purple Black Purple Blue Blue Black Blue Black Black
Black Black Purple Black Black Purple Purple Purple Blue Purple Black Black Black Blue Purple Black Purple Blue Purple Black
Purple Black Blue Blue Blue Black Blue Blue Purple Black Blue Black Purple Purple Blue Blue Blue Black Black Black
Purple Black Purple Blue Black Purple Purple Blue Black Blue Blue Blue Black Blue Black Purple Purple Purple Black Black
Purple Purple Blue Blue Blue Blue Purple Purple Blue Purple Black Black Purple Black Blue Purple Black Black Blue Black
Black Black Blue Black Black Blue Purple Blue Black Blue Black Black Purple Purple Blue Purple Black Purple Black Blue
Purple Blue Blue Blue Blue Black Black Purple Blue Blue Blue Purple Purple Purple Black Black Blue Black Purple Black
Blue Black Blue Purple Black Purple Black Purple Black Blue Purple Black Blue Purple Purple Black Purple Purple Purple Black
Black Black Purple Purple Black Black Black Purple Black Black Purple Purple Purple Black Black Blue Blue Blue Blue Blue
Black Black Black Black Purple Purple Blue Blue Black Black Purple Purple Black Black Blue Purple Blue Purple Black Purple
Black Blue Purple Purple Purple Blue Black Black Black Black Black Black Purple Blue Black Purple Blue Black Black Purple
Blue Black Purple Blue Purple Black Black Black Purple Purple Black Purple Black Black Blue Purple Black Purple Blue Black

Output:
Blue Blue Black Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Black Purple
Black Black Blue Blue Black Black Black Black Black Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple
Black Purple Black Blue Black Blue Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple
Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black Purple Purple Black Black Black Purple Purple Purple
Purple Purple Black Purple Purple Purple Black Purple Black Black Purple Black Black Black Purple Purple Purple Purple Purple Purple
Purple Black Purple Black Black Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Black Purple
Purple Purple Black Purple Purple Purple Purple Purple Black Black Purple Purple Black Purple Purple Black Black Black Blue Black
Black Purple Purple Purple Black Purple Purple Black Blue Black Purple Purple Black Purple Purple Purple Black Black Blue Black
Black Black Purple Purple Purple Purple Purple Black Blue Black Purple Black Black Black Purple Purple Purple Black Blue Blue
Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Blue
Black Black Purple Purple Black Purple Black Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Black Blue
Blue Black Black Black Purple Purple Purple Purple Black Black Black Purple Black Purple Purple Purple Black Purple Black Black
Black Black Purple Black Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Black Purple Purple Purple Black
Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Purple Purple Black Black Black
Purple Black Purple Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Purple Purple Black Black Blue Black
Black Black Purple Black Black Purple Purple Purple Black Purple Black Black Purple Purple Purple Purple Black Purple Black Blue
Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Blue Black Blue Black
Purple Black Purple Purple Black Purple Black Purple Black Purple Purple Black Purple Purple Purple Black Blue Blue Blue Black
Black Black Purple Purple Black Black Black Purple Black Black Purple Purple Purple Black Black Blue Blue Blue Blue Blue
Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black Blue Blue Blue Blue Black Blue
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Black Blue Blue Black Black Blue
Blue Black Purple Purple Purple Black Black Black Purple Purple Black Purple Black Black Blue Blue Black Purple Purple Black


Here is the input grid for the test example:
Input:
Black Orange Black Purple Orange Black Purple Black Purple Orange Black Purple Black Orange Black Orange Black Black Orange Purple Orange Black Purple Orange
Purple Black Orange Black Black Orange Black Black Black Black Purple Black Black Black Purple Black Orange Black Purple Orange Purple Black Orange Purple
Black Black Orange Black Black Orange Orange Orange Purple Orange Black Black Orange Black Black Orange Orange Orange Black Purple Purple Orange Black Black
Purple Black Black Black Purple Purple Orange Purple Black Purple Orange Purple Black Black Orange Orange Black Black Black Black Orange Orange Black Purple
Black Purple Purple Orange Black Orange Purple Black Orange Orange Black Black Black Black Orange Purple Black Orange Black Purple Purple Black Black Black
Purple Orange Orange Purple Orange Purple Black Orange Purple Orange Orange Purple Purple Purple Orange Orange Black Orange Orange Black Orange Purple Purple Orange
Purple Orange Orange Purple Black Orange Purple Black Purple Black Black Orange Black Orange Purple Purple Orange Orange Purple Purple Purple Orange Black Orange
Black Purple Black Black Orange Orange Purple Black Orange Purple Purple Black Black Purple Black Black Black Purple Black Black Purple Black Purple Purple
Purple Black Purple Black Purple Black Orange Black Purple Orange Black Black Purple Black Black Purple Orange Orange Black Purple Orange Purple Black Purple
Purple Black Orange Black Black Orange Orange Black Orange Orange Orange Purple Purple Purple Orange Black Black Black Black Black Purple Black Black Purple
Orange Orange Orange Black Black Black Orange Black Black Black Black Orange Orange Purple Black Purple Orange Purple Orange Purple Purple Purple Orange Black
Purple Orange Black Black Orange Black Purple Black Orange Black Purple Black Purple Black Orange Black Black Orange Orange Black Purple Black Purple Purple
Orange Black Orange Purple Orange Black Purple Purple Black Purple Black Purple Purple Black Purple Black Purple Black Orange Purple Purple Purple Black Black
Orange Orange Black Black Purple Orange Purple Black Black Orange Purple Purple Orange Orange Orange Black Black Orange Black Black Purple Purple Purple Purple
Orange Orange Black Orange Purple Orange Orange Purple Purple Black Orange Purple Black Orange Purple Orange Black Purple Orange Purple Orange Black Purple Black
Orange Black Black Orange Purple Black Black Black Orange Orange Orange Black Black Orange Purple Black Black Purple Purple Orange Purple Orange Black Purple


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 Orange Black Purple Purple Black Purple Black Purple Purple Black Purple Black Orange Black Orange Black Black Purple Purple Purple Black Purple Purple
Purple Black Orange Black Black Purple Black Black Black Black Purple Black Black Black Purple Black Purple Black Purple Purple Purple Black Purple Purple
Black Black Orange Black Black Purple Purple Purple Purple Purple Black Black Orange Black Black Purple Purple Purple Black Purple Purple Purple Black Black
Purple Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Black Black Purple Purple Black Black Black Black Purple Purple Black Purple
Black Purple Purple Purple Black Purple Purple Black Purple Purple Black Black Black Black Purple Purple Black Purple Black Purple Purple Black Black Black
Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Purple Purple Black Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Black Purple Black Black Purple Purple Purple Black Purple Purple Purple Black Black Purple Black Black Black Purple Black Black Purple Black Purple Purple
Orange Black Orange Black Purple Black Purple Black Purple Purple Black Black Purple Black Black Purple Purple Purple Black Purple Purple Purple Black Purple
Orange Black Orange Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Black Black Purple
Orange Orange Orange Black Black Black Purple Black Black Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Orange Orange Black Black Purple Black Purple Black Orange Black Purple Black Purple Black Purple Black Black Purple Purple Black Purple Black Purple Purple
Orange Black Purple Purple Purple Black Purple Purple Black Purple Black Purple Purple Black Purple Black Purple Black Purple Purple Purple Purple Black Black
Orange Orange Black Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Black Black Purple Purple Purple Purple
Orange Orange Black Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Black Purple Black
Orange Black Black Purple Purple Black Black Black Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Black Purple
```
assistant