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 Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow
Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow
Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow
Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow
Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow
Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow
Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow
Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow
Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow
Orange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow

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


Example 2
Input:
Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink
Gray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink
Gray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink
Gray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink
Brown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue
Brown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue
Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple
Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple
Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple
Red Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange
Red Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange
Red Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange

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


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

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


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:

```
Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black
Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black
Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black
Blue Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black
```
assistant