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 Purple Black Black Black Black Gray Black Black Black Black Black Blue Black Blue Gray
Black Gray Black Purple Blue Black Purple Black Gray Yellow Brown Yellow Gray Gray Black Black Black
Yellow Purple Black Gray Black Gray Black Purple Black Gray Gray Yellow Blue Black Black Black Black
Purple Blue Black Black Black Purple Brown Black Yellow Purple Yellow Black Brown Black Black Black Yellow
Black Gray Black Brown Blue Black Black Black Gray Purple Purple Black Black Blue Purple Black Gray
Brown Black Blue Black Black Blue Gray Black Yellow Blue Black Brown Purple Gray Gray Black Black
Purple Black Yellow Blue Red Yellow Purple Black Black Yellow Blue Black Brown Blue Brown Purple Yellow
Brown Black Gray Black Brown Gray Red Black Purple Purple Gray Blue Gray Black Blue Black Blue
Gray Black Purple Gray Black Purple Black Purple Red Black Black Brown Black Purple Gray Brown Purple
Blue Gray Brown Black Black Gray Gray Black Gray Black Gray Blue Gray Black Brown Black Purple
Purple Brown Purple Blue Black Black Brown Purple Black Gray Purple Purple Brown Gray Blue Blue Blue
Purple Gray Gray Blue Purple Black Black Black Black Black Gray Purple Blue Gray Black Purple Black
Gray Purple Black Purple Black Black Blue Purple Black Yellow Gray Black Black Black Black Blue Black

Output:
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black


Example 2
Input:
Orange Purple Black Black Pink Gray Pink Green Black Purple Red Black Black Orange Black
Black Gray Green Orange Purple Orange Gray Green Black Black Pink Black Black Black Purple
Purple Green Pink Pink Black Black Black Gray Black Green Pink Purple Black Black Gray
Green Pink Pink Gray Black Pink Pink Purple Black Orange Pink Black Purple Gray Pink
Orange Pink Black Black Black Pink Orange Purple Pink Black Gray Black Pink Green Pink
Gray Black Gray Gray Pink Gray Orange Black Black Purple Black Red Pink Orange Orange
Gray Red Orange Purple Orange Pink Black Black Gray Green Gray Black Gray Pink Black
Purple Black Black Purple Gray Black Black Orange Green Pink Purple Black Gray Orange Orange
Black Gray Gray Gray Orange Green Black Black Orange Purple Purple Green Black Green Gray
Green Purple Pink Black Orange Black Gray Orange Gray Black Purple Purple Black Orange Black
Purple Gray Purple Black Black Purple Gray Black Purple Black Gray Pink Gray Orange Black
Pink Pink Black Purple Gray Black Black Green Pink Pink Green Orange Gray Black Black

Output:
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Brown Gray Brown Black Blue Blue Black Black Blue Black Black Blue Black
Black Black Black Brown Blue Gray Purple Red Black Black Blue Purple Red Black
Black Gray Black Black Red Brown Blue Black Purple Brown Blue Blue Red Black
Purple Black Purple Black Black Black Gray Red Blue Blue Blue Purple Gray Gray
Red Black Red Black Purple Blue Gray Brown Brown Black Gray Brown Blue Black
Blue Black Purple Black Black Red Black Red Red Black Black Purple Gray Blue
Black Purple Black Blue Black Red Purple Blue Red Gray Brown Blue Black Purple
Blue Gray Black Blue Black Blue Red Red Red Gray Purple Black Blue Red
Purple Red Gray Brown Black Black Gray Black Gray Blue Blue Gray Black Purple
Black Black Purple Brown Blue Gray Black Gray Gray Purple Blue Brown Black Black
Purple Black Black Red Black Purple Red Black Brown Blue Purple Purple Purple Black
Red Black Gray Black Purple Black Black Purple Black Red Purple Brown Black Purple
Blue Black Brown Purple Brown Gray Black Black Blue Red Black Blue Black Black
Blue Blue Gray Black Blue Red Black Black Purple Blue Purple Blue Gray Blue


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 Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Black Black Black Black Black Black
```
assistant