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 Yellow Yellow Yellow Brown Brown Brown Brown
Yellow Yellow Yellow Yellow Brown Brown Brown Brown
Yellow Yellow Yellow Yellow Brown Brown Brown Brown
Yellow Yellow Yellow Black Black Brown Brown Brown
Purple Purple Purple Black Black Blue Blue Blue
Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Blue Blue Blue Blue

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


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

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


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

Output:
Green Green Green Green Blue Blue Blue Blue
Green Green Green Green Blue Blue Blue Blue
Green Green Green Green Blue Blue Blue Blue
Green Green Green Black Black Blue Blue Blue
Gray Gray Gray Black Black Pink Pink Pink
Gray Gray Gray Gray Pink Pink Pink Pink
Gray Gray Gray Gray Pink Pink Pink Pink
Gray Gray Gray Gray Pink Pink Pink Pink


Here is the input grid for the test example:
Input:
Brown Brown Brown Brown Red Red Red Red
Brown Brown Brown Brown Red Red Red Red
Brown Brown Brown Brown Red Red Red Red
Brown Brown Brown Black Black Red Red Red
Purple Purple Purple Black Black Gray Gray Gray
Purple Purple Purple Purple Gray Gray Gray Gray
Purple Purple Purple Purple Gray Gray Gray Gray
Purple Purple Purple Purple Gray Gray Gray Gray


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:

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