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

Output:
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown
Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Gray Gray Gray Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Gray Gray Gray Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Gray Purple Purple Yellow Yellow Brown Brown Yellow Yellow
Blue Blue Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Gray Purple Purple Yellow Yellow Brown Brown Yellow Yellow
Blue Blue Blue Blue Blue Blue Purple Purple Yellow Yellow Yellow Yellow Brown Brown Purple Purple Yellow Yellow Brown Brown
Blue Blue Blue Blue Blue Blue Purple Purple Yellow Yellow Yellow Yellow Brown Brown Purple Purple Yellow Yellow Brown Brown
Blue Blue Brown Brown Blue Blue Blue Blue Purple Purple Yellow Yellow Yellow Yellow Brown Brown Purple Purple Purple Purple
Blue Blue Brown Brown Blue Blue Blue Blue Purple Purple Yellow Yellow Yellow Yellow Brown Brown Purple Purple Purple Purple
Brown Brown Blue Blue Brown Brown Brown Brown Blue Blue Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown
Brown Brown Blue Blue Brown Brown Brown Brown Blue Blue Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown
Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Blue Blue Purple Purple Yellow Yellow Purple Purple Blue Blue
Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Blue Blue Purple Purple Yellow Yellow Purple Purple Blue Blue
Brown Brown Gray Gray Brown Brown Blue Blue Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray
Brown Brown Gray Gray Brown Brown Blue Blue Brown Brown Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray
Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown Purple Purple Brown Brown Yellow Yellow Blue Blue
Brown Brown Blue Blue Blue Blue Blue Blue Purple Purple Brown Brown Purple Purple Brown Brown Yellow Yellow Blue Blue
Brown Brown Gray Gray Yellow Yellow Blue Blue Gray Gray Purple Purple Blue Blue Brown Brown Purple Purple Yellow Yellow
Brown Brown Gray Gray Yellow Yellow Blue Blue Gray Gray Purple Purple Blue Blue Brown Brown Purple Purple Yellow Yellow


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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange
Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Green Green
Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple Green Green
Gray Gray Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Green Green Pink Pink Gray Gray Purple Purple
Gray Gray Gray Gray Pink Pink Purple Purple Gray Gray Orange Orange Green Green Pink Pink Gray Gray Purple Purple
Green Green Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange Gray Gray Pink Pink Pink Pink
Green Green Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange Gray Gray Pink Pink Pink Pink
Green Green Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange Gray Gray Pink Pink
Green Green Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange Gray Gray Pink Pink
Green Green Green Green Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange Gray Gray
Green Green Green Green Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange Gray Gray
Pink Pink Purple Purple Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange
Pink Pink Purple Purple Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Gray Gray Gray Gray Orange Orange
Green Green Orange Orange Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green Gray Gray
Green Green Orange Orange Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green Gray Gray
Green Green Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Pink Pink Pink Pink Pink Pink Green Green
Green Green Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Pink Pink Pink Pink Pink Pink Green Green
Green Green Green Green Pink Pink Orange Orange Purple Purple Pink Pink Orange Orange Pink Pink Green Green Orange Orange
Green Green Green Green Pink Pink Orange Orange Purple Purple Pink Pink Orange Orange Pink Pink Green Green Orange Orange


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

Output:
Blue Blue Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Green Green
Blue Blue Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Green Green
Blue Blue Blue Blue Gray Gray Pink Pink Gray Gray Gray Gray Yellow Yellow Blue Blue Gray Gray Gray Gray
Blue Blue Blue Blue Gray Gray Pink Pink Gray Gray Gray Gray Yellow Yellow Blue Blue Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Green Green Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Green Green Blue Blue
Blue Blue Blue Blue Pink Pink Green Green Blue Blue Blue Blue Gray Gray Yellow Yellow Yellow Yellow Green Green
Blue Blue Blue Blue Pink Pink Green Green Blue Blue Blue Blue Gray Gray Yellow Yellow Yellow Yellow Green Green
Blue Blue Blue Blue Yellow Yellow Gray Gray Green Green Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green
Blue Blue Blue Blue Yellow Yellow Gray Gray Green Green Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green
Blue Blue Green Green Blue Blue Green Green Gray Gray Green Green Blue Blue Blue Blue Pink Pink Green Green
Blue Blue Green Green Blue Blue Green Green Gray Gray Green Green Blue Blue Blue Blue Pink Pink Green Green
Blue Blue Blue Blue Green Green Pink Pink Green Green Gray Gray Green Green Blue Blue Yellow Yellow Pink Pink
Blue Blue Blue Blue Green Green Pink Pink Green Green Gray Gray Green Green Blue Blue Yellow Yellow Pink Pink
Yellow Yellow Blue Blue Blue Blue Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Blue Blue Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Blue Blue Yellow Yellow
Yellow Yellow Yellow Yellow Green Green Pink Pink Gray Gray Green Green Gray Gray Gray Gray Gray Gray Blue Blue
Yellow Yellow Yellow Yellow Green Green Pink Pink Gray Gray Green Green Gray Gray Gray Gray Gray Gray Blue Blue
Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Gray Gray Green Green Gray Gray Gray Gray Gray Gray
Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink Gray Gray Green Green Gray Gray Gray Gray Gray Gray


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