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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple
Purple Purple Purple Orange Orange Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Orange Orange Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Green Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple
Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple
Purple Purple Purple Purple Purple Green Purple Purple Pink Pink Pink Pink Pink Pink Brown Brown Brown Purple
Purple Purple Purple Purple Purple Green Purple Purple Pink Pink Pink Pink Pink Pink Brown Brown Brown Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple

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


Example 2
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Blue Orange Orange Blue Blue Brown Brown Brown Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Blue Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange

Output:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Gray
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange


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

Output:
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 Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray 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 Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Purple Purple Purple Green Green Green Yellow Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Purple Purple Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Purple Blue Purple Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Blue Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Purple Purple Purple Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Purple Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Green Green Green Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

```
Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink
Pink Pink Pink Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink
Pink Pink Pink Pink Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Gray Gray Pink Pink Gray Gray Gray Orange Orange Gray Pink Pink Pink Pink
Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Blue Blue Blue Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Pink Blue Blue Blue Pink Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink
Pink Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
```
assistant