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

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


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

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


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

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


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

```
Red Red Green Green Orange Orange Purple Purple Yellow Yellow Green Green Orange Orange Green Green Blue Blue
Red Red Green Green Orange Orange Purple Purple Yellow Yellow Green Green Orange Orange Green Green Blue Blue
Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue Purple Purple Red Red Gray Gray Red Red
Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue Purple Purple Red Red Gray Gray Red Red
Green Green Blue Blue Green Green Red Red Gray Gray Red Red Gray Gray Yellow Yellow Red Red
Green Green Blue Blue Green Green Red Red Gray Gray Red Red Gray Gray Yellow Yellow Red Red
Green Green Red Red Red Red Purple Purple Red Red Red Red Orange Orange Orange Orange Green Green
Green Green Red Red Red Red Purple Purple Red Red Red Red Orange Orange Orange Orange Green Green
Red Red Gray Gray Purple Purple Yellow Yellow Red Red Gray Gray Black Black Green Green Green Green
Red Red Gray Gray Purple Purple Yellow Yellow Red Red Gray Gray Black Black Green Green Green Green
Red Red Green Green Brown Brown Purple Purple Orange Orange Green Green Red Red Red Red Purple Purple
Red Red Green Green Brown Brown Purple Purple Orange Orange Green Green Red Red Red Red Purple Purple
Green Green Green Green Orange Orange Red Red Purple Purple Brown Brown Blue Blue Blue Blue Black Black
Green Green Green Green Orange Orange Red Red Purple Purple Brown Brown Blue Blue Blue Blue Black Black
Green Green Purple Purple Yellow Yellow Red Red Brown Brown Orange Orange Green Green Blue Blue Red Red
Green Green Purple Purple Yellow Yellow Red Red Brown Brown Orange Orange Green Green Blue Blue Red Red
Gray Gray Purple Purple Green Green Red Red Blue Blue Gray Gray Brown Brown Red Red Green Green
Gray Gray Purple Purple Green Green Red Red Blue Blue Gray Gray Brown Brown Red Red Green Green
```
assistant