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 Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black
Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Black
Black Black Green Green Green Brown Brown Brown Brown Black Black Blue Blue Blue Blue Blue Black
Black Black Green Green Green Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Green Green Green Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Green Green Green Brown Brown Brown Brown Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple
Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Purple
Purple Purple Green Green Green Brown Brown Brown Brown Purple Purple Blue Blue Blue Blue Blue Purple
Purple Purple Green Green Green Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Brown Brown Brown Brown Gray Gray Gray Gray Gray Purple Purple Purple
Purple Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray Gray Gray Gray Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Purple Purple Purple


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 Orange Orange Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red Red
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Purple Black Black Black Red Red Red
Black Black Black Black Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black
Black Black Black Black Purple Purple Purple Purple Purple Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Purple Purple Purple
Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple


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

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 Pink Pink Pink Gray Gray Gray Gray
Purple Purple Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray
Purple Purple Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray
Purple Purple Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray
Purple Purple Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple
Purple Purple Blue Blue Blue Blue Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple


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

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple
Orange Orange Orange Orange Purple Purple Pink Pink Pink Red Red Red Red Purple
Orange Orange Orange Orange Purple Purple Pink Pink Pink Red Red Red Red Purple
Orange Orange Orange Orange Purple Purple Pink Pink Pink Red Red Red Red Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Brown Brown Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Brown Brown Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Brown Brown Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant