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:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Black Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Black Purple Brown Brown Purple Brown Brown Black Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Black Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Black Purple Brown Brown Purple Brown Brown Black Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Black Purple Brown Brown Purple Brown Brown Black Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Black Purple Brown Brown Black Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown Brown Purple Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


Example 2
Input:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Black Blue Blue Orange Green Green Orange
Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Black Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Black Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Black Orange Orange Yellow Black Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Green Black Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Black Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Black Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Black Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red Red

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange Blue Blue Orange Green Green Orange
Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple Pink Pink Purple Green Green Purple
Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Yellow
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red


Example 3
Input:
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Black Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Black Red Red Red Blue
Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Black Gray Red Blue Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray
Orange Orange Purple Brown Orange Orange Orange Purple Brown Black Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Black Brown Black Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Black Blue
Gray Gray Red Black Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue
Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Black Blue Gray Gray Gray Red Blue Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue

Output:
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue
Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue
Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue
Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue


Here is the input grid for the test example:
Input:
Red Yellow Purple Red Yellow Purple Black Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Black Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Black
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Black Pink Red Blue
Red Yellow Purple Red Yellow Black Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Black Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Black Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Black Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Black Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Black Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red


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:

```
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink Blue Yellow Pink
Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue Pink Red Blue
Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red Yellow Purple Red
```
assistant