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:
Purple Purple Pink Pink Red Purple Pink Red Red
Gray Red Pink Purple Gray Purple Gray Red Purple
Pink Purple Gray Purple Purple Purple Purple Purple Purple
Gray Red Gray Pink Gray Pink Pink Gray Pink
Red Red Red Red Pink Gray Purple Pink Red
Purple Red Red Gray Pink Gray Gray Red Purple
Pink Purple Gray Gray Gray Gray Purple Gray Gray
Pink Pink Red Red Red Pink Gray Red Red
Gray Purple Purple Pink Purple Gray Purple Pink Pink

Output:
Black Black Black Black Black Black Black Black Gray Red Pink Purple Gray Purple Gray Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Red Gray Pink Gray Pink Pink Gray Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Pink Gray Purple Pink Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Red Gray Pink Gray Gray Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Gray Gray Gray Gray Purple Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Red Red Red Pink Gray Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Purple Purple Pink Purple Gray Purple Pink Pink Black Black Black Black Black Black Black Black
Purple Pink Pink Red Purple Pink Red Red Red Purple Purple Pink Purple Gray Purple Pink Purple Purple Purple Pink Pink Red Purple Pink Red
Red Pink Purple Gray Purple Gray Red Purple Purple Purple Purple Pink Purple Gray Purple Gray Gray Gray Red Pink Purple Gray Purple Gray Red
Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Gray Pink Pink Pink Pink Purple Gray Purple Purple Purple Purple Purple
Red Gray Pink Gray Pink Pink Gray Pink Pink Pink Pink Pink Purple Gray Gray Gray Gray Gray Red Gray Pink Gray Pink Pink Gray
Red Red Red Pink Gray Purple Pink Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Gray Purple Pink
Red Red Gray Pink Gray Gray Red Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Red Red Gray Pink Gray Gray Red
Purple Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Pink Red Purple Pink Pink Pink Pink Purple Gray Gray Gray Gray Purple Gray
Pink Red Red Red Pink Gray Red Red Red Red Pink Pink Red Purple Pink Pink Pink Pink Pink Red Red Red Pink Gray Red
Purple Purple Pink Purple Gray Purple Pink Pink Pink Purple Pink Pink Red Purple Pink Red Gray Gray Purple Purple Pink Purple Gray Purple Pink
Black Black Black Black Black Black Black Black Purple Purple Pink Pink Red Purple Pink Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Red Pink Purple Gray Purple Gray Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Gray Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Red Gray Pink Gray Pink Pink Gray Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Pink Gray Purple Pink Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Red Gray Pink Gray Gray Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Gray Gray Gray Gray Purple Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Red Red Red Pink Gray Red Red Black Black Black Black Black Black Black Black


Example 2
Input:
Purple Green Brown Purple Red Pink Pink Brown Pink
Pink Brown Green Brown Purple Pink Pink Green Green
Green Green Red Red Brown Brown Green Red Purple
Pink Purple Brown Brown Purple Red Pink Green Pink
Purple Red Green Brown Brown Green Pink Brown Red
Green Purple Red Green Purple Pink Green Purple Pink
Pink Brown Pink Purple Purple Purple Pink Green Purple
Pink Green Pink Green Purple Pink Purple Red Red
Purple Purple Red Purple Red Green Purple Red Brown

Output:
Black Black Black Black Black Black Black Black Pink Brown Green Brown Purple Pink Pink Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Brown Brown Green Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Brown Brown Purple Red Pink Green Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Green Brown Brown Green Pink Brown Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Purple Red Green Purple Pink Green Purple Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Brown Pink Purple Purple Purple Pink Green Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Green Pink Green Purple Pink Purple Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Red Purple Red Green Purple Red Brown Black Black Black Black Black Black Black Black
Green Brown Purple Red Pink Pink Brown Pink Pink Purple Red Purple Red Green Purple Red Purple Purple Green Brown Purple Red Pink Pink Brown
Brown Green Brown Purple Pink Pink Green Green Green Green Red Purple Red Green Purple Pink Pink Pink Brown Green Brown Purple Pink Pink Green
Green Red Red Brown Brown Green Red Purple Purple Purple Purple Purple Red Green Green Green Green Green Green Red Red Brown Brown Green Red
Purple Brown Brown Purple Red Pink Green Pink Pink Pink Pink Pink Red Pink Pink Pink Pink Pink Purple Brown Brown Purple Red Pink Green
Red Green Brown Brown Green Pink Brown Red Red Red Red Red Purple Purple Purple Purple Purple Purple Red Green Brown Brown Green Pink Brown
Purple Red Green Purple Pink Green Purple Pink Pink Pink Pink Pink Red Green Green Green Green Green Purple Red Green Purple Pink Green Purple
Brown Pink Purple Purple Purple Pink Green Purple Purple Purple Purple Purple Red Pink Pink Pink Pink Pink Brown Pink Purple Purple Purple Pink Green
Green Pink Green Purple Pink Purple Red Red Red Red Brown Purple Red Pink Pink Pink Pink Pink Green Pink Green Purple Pink Purple Red
Purple Red Purple Red Green Purple Red Brown Brown Green Brown Purple Red Pink Pink Brown Purple Purple Purple Red Purple Red Green Purple Red
Black Black Black Black Black Black Black Black Purple Green Brown Purple Red Pink Pink Brown Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Brown Green Brown Purple Pink Pink Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Brown Brown Green Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Purple Brown Brown Purple Red Pink Green Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Red Green Brown Brown Green Pink Brown Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Purple Red Green Purple Pink Green Purple Pink Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Brown Pink Purple Purple Purple Pink Green Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Green Pink Green Purple Pink Purple Red Red Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black
Red Red Orange Red Pink Blue Red Orange Pink Pink
Orange Orange Orange Green Blue Blue Red Blue Red Pink
Pink Orange Orange Green Blue Orange Pink Blue Green Orange
Pink Blue Blue Green Green Red Blue Blue Orange Red
Green Pink Orange Red Orange Red Orange Blue Blue Green
Red Green Pink Red Blue Orange Red Green Green Orange
Red Blue Red Green Green Blue Blue Orange Pink Pink
Green Green Red Blue Blue Green Orange Green Red Pink
Green Green Green Red Pink Orange Orange Blue Green Pink

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

```
Black Black Black Black Black Black Black Pink Yellow Yellow Yellow Purple Purple Red Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Gray Pink Gray Purple Red Gray Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Purple Gray Pink Red Pink Gray Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Purple Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Purple Gray Yellow Gray Purple Yellow Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Purple Pink Gray Gray Red Purple Black Black Black Black Black Black Black
Gray Red Pink Purple Red Pink Purple Pink Pink Purple Pink Gray Gray Gray Gray Red Pink Purple Red Pink Purple Pink
Pink Yellow Yellow Yellow Purple Purple Red Purple Purple Purple Pink Gray Pink Pink Pink Yellow Yellow Yellow Purple Purple Red Purple
Purple Gray Pink Gray Purple Red Gray Pink Pink Pink Pink Purple Purple Purple Purple Gray Pink Gray Purple Red Gray Pink
Gray Purple Gray Pink Red Pink Gray Pink Pink Pink Pink Gray Gray Gray Gray Purple Gray Pink Red Pink Gray Pink
Red Purple Pink Pink Red Red Pink Pink Pink Pink Pink Red Red Red Red Purple Pink Pink Red Red Pink Pink
Gray Purple Gray Yellow Gray Purple Yellow Gray Gray Gray Purple Red Gray Gray Gray Purple Gray Yellow Gray Purple Yellow Gray
Yellow Yellow Purple Pink Gray Gray Red Purple Purple Pink Purple Red Pink Yellow Yellow Yellow Purple Pink Gray Gray Red Purple
Black Black Black Black Black Black Black Gray Red Pink Purple Red Pink Purple Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Yellow Yellow Yellow Purple Purple Red Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Gray Pink Gray Purple Red Gray Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Purple Gray Pink Red Pink Gray Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Purple Pink Pink Red Red Pink Pink Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Purple Gray Yellow Gray Purple Yellow Gray Black Black Black Black Black Black Black
```
assistant