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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Blue Purple Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Purple Blue Green Green Brown Black Black
Black Black Black Black Blue Black Black Black Black Black Purple Purple Green Green Yellow Black Black
Black Black Black Black Orange Blue Black Blue Blue Black Black Yellow Brown Yellow Yellow Black Black
Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black
Black Orange Orange Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Blue Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Green Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


Example 2
Input:
Black Black Black Black Blue Blue Black Black Gray Gray Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black
Black Black Blue Gray Black Purple Blue Purple Gray Gray Black Black Black Black Black
Black Black Black Black Yellow Pink Blue Pink Yellow Gray Black Black Black Black Black
Black Black Black Black Pink Pink Gray Pink Pink Black Black Black Black Black Black
Black Black Blue Black Brown Brown Brown Brown Brown Black Black Black Black Black Black
Black Green Blue Black Brown Brown Black Brown Brown Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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

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


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