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

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


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

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


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

Output:
Yellow Blue Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Gray Blue Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Pink Green Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Gray Yellow


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


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