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

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


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

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


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

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


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


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