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 Purple Purple Blue Blue Gray Gray Yellow Gray Blue Yellow Yellow Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Brown Brown Yellow Yellow Brown Yellow Gray Yellow Gray Gray Purple Yellow Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Yellow Gray Yellow Purple Blue Yellow Blue Yellow Brown Blue Blue Brown Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Gray Purple Purple Yellow Purple Purple Gray Gray Brown Brown Gray Brown Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Yellow Blue Brown Brown Brown Brown Gray Purple Brown Yellow Brown Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Brown Brown Blue Yellow Purple Gray Gray Yellow Gray Brown Yellow Gray Blue Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Brown Gray Brown Gray Yellow Brown Purple Blue Gray Blue Blue Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Purple Purple Brown Purple Yellow Blue Yellow Brown Blue Blue Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Brown Gray Yellow Yellow Blue Purple Brown Yellow Yellow Yellow Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Purple Purple Purple Gray Yellow Blue Yellow Brown Blue Gray Gray Gray Gray Brown Purple Yellow Yellow Blue Blue Brown Blue Gray Purple Blue Yellow Brown Gray
Brown Purple Gray Purple Gray Purple Blue Purple Purple Gray Yellow Brown Brown Gray Purple Brown Blue Purple Purple Brown Brown Gray Brown Gray Brown Brown Brown Blue
Gray Purple Yellow Yellow Brown Yellow Gray Blue Blue Blue Gray Gray Gray Brown Purple Gray Blue Brown Blue Blue Purple Brown Brown Blue Yellow Purple Purple Brown
Purple Purple Yellow Gray Gray Purple Purple Brown Gray Yellow Gray Yellow Yellow Purple Yellow Gray Blue Gray Purple Gray Gray Brown Blue Brown Brown Gray Purple Yellow
Brown Purple Blue Gray Yellow Blue Brown Gray Gray Blue Purple Blue Brown Gray Brown Brown Purple Yellow Purple Blue Brown Brown Purple Brown Blue Blue Gray Gray
Brown Purple Gray Brown Blue Yellow Brown Brown Blue Blue Purple Gray Gray Blue Blue Yellow Brown Brown Purple Brown Purple Brown Gray Gray Brown Purple Gray Gray
Blue Purple Purple Gray Yellow Gray Purple Yellow Yellow Brown Blue Purple Blue Yellow Blue Gray Blue Brown Blue Brown Gray Blue Blue Purple Yellow Purple Brown Purple
Brown Yellow Brown Gray Brown Yellow Gray Purple Purple Gray Gray Yellow Yellow Blue Yellow Gray Blue Blue Yellow Brown Brown Yellow Purple Yellow Brown Gray Gray Gray
Brown Blue Gray Yellow Brown Brown Purple Brown Purple Brown Brown Yellow Brown Brown Blue Brown Purple Yellow Brown Yellow Gray Brown Brown Brown Brown Yellow Gray Purple

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Purple Purple Gray Yellow Blue Yellow Brown Blue Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Purple Gray Purple Gray Purple Blue Purple Purple Gray Yellow Brown Brown Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Purple Yellow Yellow Brown Yellow Gray Blue Blue Blue Gray Gray Gray Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Yellow Gray Gray Purple Purple Brown Gray Yellow Gray Yellow Yellow Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Purple Blue Gray Yellow Blue Brown Gray Gray Blue Purple Blue Brown Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Purple Gray Brown Blue Yellow Brown Brown Blue Blue Purple Gray Gray Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Purple Gray Yellow Gray Purple Yellow Yellow Brown Blue Purple Blue Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Yellow Brown Gray Brown Yellow Gray Purple Purple Gray Gray Yellow Yellow Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Blue Gray Yellow Brown Brown Purple Brown Purple Brown Brown Yellow Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Pink Pink Pink Green Gray Gray Gray Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange
Purple Green Orange Green Green Orange Gray Green Green Orange Orange Orange Orange Orange Orange Orange Orange
Green Orange Purple Green Gray Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange
Pink Orange Pink Gray Orange Orange Green Gray Pink Orange Orange Orange Orange Orange Orange Orange Orange
Gray Pink Gray Green Purple Green Green Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Pink Orange Gray Green Gray Orange Green Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Pink Green Gray Green Orange Orange Orange Orange Orange Orange Orange Orange
Green Pink Pink Orange Pink Pink Pink Green Green Orange Orange Orange Orange Orange Orange Orange Orange
Pink Green Gray Green Orange Gray Green Orange Gray Orange Orange Orange Orange Orange Orange Orange Orange
Orange Pink Purple Green Gray Orange Gray Orange Pink Orange Orange Orange Orange Orange Orange Orange Orange
Purple Pink Orange Pink Orange Pink Purple Purple Purple Purple Purple Pink Green Green Purple Orange Gray
Orange Orange Purple Gray Green Pink Green Green Orange Purple Pink Orange Gray Purple Gray Pink Orange
Green Green Purple Gray Gray Orange Purple Orange Green Gray Purple Purple Purple Pink Gray Orange Gray
Pink Pink Green Purple Orange Pink Green Green Gray Pink Pink Gray Gray Pink Pink Purple Gray
Purple Purple Pink Green Green Orange Green Purple Green Orange Gray Green Purple Green Orange Purple Green
Green Purple Green Orange Purple Pink Orange Gray Orange Purple Green Purple Purple Gray Gray Green Green
Green Orange Purple Gray Pink Green Green Orange Pink Orange Orange Purple Green Gray Green Green Gray
Pink Gray Gray Green Green Gray Gray Pink Pink Gray Green Pink Orange Purple Pink Gray Pink
Pink Orange Gray Green Green Purple Gray Pink Green Orange Pink Green Gray Green Green Purple Green
Green Gray Purple Gray Pink Orange Green Pink Orange Gray Orange Orange Orange Orange Orange Gray Green

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


Example 3
Input:
Pink Green Green Blue Gray Gray Green Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink
Green Gray Pink Yellow Pink Green Pink Blue Green Pink Pink Pink Pink Pink Pink Pink Pink
Blue Pink Green Yellow Yellow Yellow Gray Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink
Blue Blue Blue Yellow Pink Gray Green Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink
Blue Pink Green Yellow Blue Green Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Blue Yellow Green Yellow Gray Blue Yellow Gray Green Pink Pink Pink Pink Pink Pink Pink Pink
Blue Yellow Blue Yellow Gray Green Green Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink
Blue Yellow Pink Green Green Pink Green Blue Green Pink Pink Pink Pink Pink Pink Pink Pink
Gray Gray Yellow Gray Blue Yellow Yellow Green Green Pink Pink Pink Pink Pink Pink Pink Pink
Gray Gray Green Pink Blue Pink Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink
Yellow Blue Yellow Pink Green Green Blue Pink Pink Blue Blue Gray Blue Green Green Green Yellow
Yellow Gray Gray Green Yellow Pink Blue Green Green Green Gray Pink Green Yellow Pink Gray Pink
Gray Yellow Blue Pink Green Yellow Pink Green Yellow Yellow Blue Gray Green Pink Yellow Pink Green
Pink Yellow Yellow Pink Gray Gray Green Yellow Pink Pink Gray Pink Green Gray Yellow Yellow Pink
Pink Green Blue Green Pink Green Blue Pink Pink Yellow Gray Green Green Green Blue Yellow Blue
Yellow Green Gray Yellow Pink Gray Blue Blue Gray Green Green Green Gray Gray Yellow Blue Green
Gray Yellow Yellow Pink Pink Pink Gray Blue Blue Green Yellow Green Pink Yellow Pink Blue Yellow
Gray Gray Yellow Yellow Gray Yellow Blue Green Pink Green Pink Blue Green Gray Blue Pink Yellow
Blue Gray Blue Blue Blue Gray Pink Pink Green Green Yellow Green Yellow Yellow Blue Green Blue
Yellow Green Blue Pink Pink Pink Green Blue Green Blue Pink Gray Pink Yellow Green Blue Blue
Blue Blue Blue Pink Yellow Pink Green Yellow Green Blue Green Pink Yellow Blue Blue Green Pink

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

```
Black Black Black Black Black Black Black Black Black Purple Purple Gray Brown Gray Blue Gray Red Gray Gray
Black Black Black Black Black Black Black Black Black Gray Blue Brown Purple Red Red Gray Brown Purple Blue
Black Black Black Black Black Black Black Black Black Blue Red Purple Red Gray Gray Red Gray Brown Gray
Black Black Black Black Black Black Black Black Black Red Blue Gray Blue Gray Red Blue Brown Blue Purple
Black Black Black Black Black Black Black Black Black Brown Blue Gray Red Blue Gray Purple Gray Red Brown
Black Black Black Black Black Black Black Black Black Gray Gray Red Purple Brown Red Red Blue Purple Purple
Black Black Black Black Black Black Black Black Black Gray Red Brown Brown Brown Brown Blue Red Blue Blue
Black Black Black Black Black Black Black Black Black Blue Blue Blue Gray Purple Blue Purple Blue Gray Purple
Black Black Black Black Black Black Black Black Black Red Gray Brown Brown Red Brown Blue Purple Red Blue
Black Black Black Black Black Black Black Black Black Red Purple Brown Gray Brown Blue Purple Gray Brown Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant