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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Red Red Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Red Red Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Purple Purple
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Purple Purple
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Red Red Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Red Red Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue
Red Red Yellow Yellow Purple Purple Gray Gray Gray Gray Yellow Yellow Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Yellow Yellow Purple Purple Gray Gray Gray Gray Yellow Yellow Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Blue Blue Purple Purple Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Blue Blue Purple Purple Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Red Red Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Red Red Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Red Red Red Red Red Red Red Red Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Red Red Red Red Red Red Red Red Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

Output:
Red Red Red Red Yellow Yellow Purple Purple Red Red Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Yellow Yellow Purple Purple Red Red Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple Purple Purple Purple Purple
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray
Red Red Red Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple Purple Purple Purple Purple
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple Purple Purple Purple Purple
Red Red Red Red Yellow Yellow Purple Purple Red Red Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Red Yellow Yellow Purple Purple Red Red Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple


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

Output:
Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Gray Gray Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue
Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Gray Gray Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Blue Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue
Blue Blue Yellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue
Blue Blue Purple Purple Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Purple Purple Blue Blue
Blue Blue Purple Purple Red Red Red Red Red Red Yellow Yellow Red Red Red Red Red Red Purple Purple Blue Blue
Gray Gray Gray Gray Red Red Blue Blue Gray Gray Yellow Yellow Gray Gray Blue Blue Red Red Gray Gray Gray Gray
Gray Gray Gray Gray Red Red Blue Blue Gray Gray Yellow Yellow Gray Gray Blue Blue Red Red Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Purple Purple
Purple Purple Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Purple Purple


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

```
Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Purple Purple
Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Purple Purple
Yellow Yellow Purple Purple Purple Purple Blue Blue Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Blue Blue Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple
Red Red Yellow Yellow Blue Blue Red Red Blue Blue Yellow Yellow Yellow Yellow Purple Purple Red Red
Red Red Yellow Yellow Blue Blue Red Red Blue Blue Yellow Yellow Yellow Yellow Purple Purple Red Red
Red Red Blue Blue Yellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow
Red Red Blue Blue Yellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow
Blue Blue Blue Blue Red Red Yellow Yellow Purple Purple Purple Purple Red Red Blue Blue Gray Gray
Blue Blue Blue Blue Red Red Yellow Yellow Purple Purple Purple Purple Red Red Blue Blue Gray Gray
Red Red Blue Blue Yellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow
Red Red Blue Blue Yellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow
Red Red Yellow Yellow Blue Blue Red Red Blue Blue Yellow Yellow Yellow Yellow Purple Purple Red Red
Red Red Yellow Yellow Blue Blue Red Red Blue Blue Yellow Yellow Yellow Yellow Purple Purple Red Red
Yellow Yellow Purple Purple Purple Purple Blue Blue Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Blue Blue Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple
Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Purple Purple
Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Purple Purple
```
assistant