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

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


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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Green Yellow Yellow Black Black Black Black Purple Black Black
Black Purple Orange Orange Green Yellow Yellow Green Green Green Green Orange Red Black
Black Black Green Black Red Black Black Gray Red Black Black Orange Red Black
Black Black Green Black Orange Orange Black Gray Orange Orange Red Green Green Black
Black Black Green Gray Orange Black Green Pink Black Orange Black Yellow Yellow Black
Black Black Green Gray Gray Pink Red Red Green Black Black Yellow Yellow Black
Black Yellow Yellow Black Black Green Red Red Pink Gray Gray Green Black Black
Black Yellow Red Black Orange Black Pink Green Black Orange Gray Green Black Black
Black Green Green Red Orange Orange Gray Black Orange Orange Black Green Black Black
Black Red Orange Black Black Gray Gray Black Black Red Black Green Black Black
Black Red Orange Green Green Green Green Yellow Yellow Green Orange Orange Purple Black
Black Black Purple Black Black Black Black Yellow Yellow Green Red Red Black Black


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

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


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

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