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 Yellow Yellow Yellow Yellow Yellow
Yellow Black Purple Black Purple Purple Black Black Yellow
Yellow Purple Black Black Purple Black Black Black Yellow
Yellow Purple Black Black Black Black Purple Black Yellow
Yellow Black Purple Black Purple Black Black Black Yellow
Yellow Black Purple Black Black Black Purple Black Yellow
Yellow Purple Purple Purple Black Purple Purple Black Yellow
Yellow Black Black Black Black Black Black Black Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Black Black Purple Purple Black Black Purple Purple Purple Purple Black Purple Black Black Yellow Yellow
Yellow Yellow Black Black Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Purple Yellow Yellow
Yellow Yellow Purple Purple Purple Black Black Black Purple Purple Black Purple Black Purple Black Black Yellow Yellow
Yellow Yellow Purple Purple Black Black Purple Black Purple Purple Black Purple Black Black Black Purple Yellow Yellow
Yellow Yellow Purple Purple Black Purple Purple Black Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow
Yellow Yellow Purple Purple Black Black Black Black Yellow Yellow Black Black Purple Purple Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Purple Black Purple Purple Black Black Yellow Yellow Black Purple Purple Purple Purple Black Yellow Yellow
Yellow Yellow Black Black Purple Purple Black Black Yellow Yellow Purple Black Purple Purple Black Black Yellow Yellow
Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Black Purple Yellow Yellow
Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Black Black Yellow Yellow
Yellow Yellow Purple Black Black Black Purple Black Yellow Yellow Black Purple Black Black Black Purple Yellow Yellow
Yellow Yellow Purple Purple Black Purple Purple Black Yellow Yellow Purple Purple Purple Black Purple Purple Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow


Example 2
Input:
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Pink Black Black Black Black Black Black Black Black Pink
Pink Black Yellow Black Black Yellow Black Black Black Pink
Pink Black Black Yellow Yellow Black Yellow Black Black Pink
Pink Black Yellow Yellow Black Yellow Yellow Black Black Pink
Pink Black Yellow Yellow Yellow Black Yellow Black Black Pink
Pink Black Yellow Black Yellow Yellow Yellow Black Black Pink
Pink Black Black Black Black Black Black Black Black Pink
Pink Black Black Black Black Black Black Black Black Pink
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink

Output:
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 Yellow Black Black Yellow Black Black Black Pink Pink Black Yellow Black Black Yellow Black Black Pink Pink
Pink Pink Black Yellow Yellow Black Yellow Black Black Pink Pink Black Black Yellow Yellow Black Yellow Black Pink Pink
Pink Pink Yellow Yellow Yellow Yellow Yellow Black Black Pink Yellow Yellow Yellow Yellow Black Yellow Yellow Black Pink Pink
Pink Pink Yellow Yellow Yellow Yellow Yellow Black Black Pink Yellow Yellow Yellow Yellow Yellow Black Yellow Black Pink Pink
Pink Pink Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink
Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Pink Black Yellow Yellow Black Black Black Black Pink Pink
Pink Pink Black Black Yellow Yellow Yellow Yellow Black Pink Yellow Yellow Yellow Yellow Black Black Black Black Pink Pink
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink
Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Pink Pink Pink Pink Pink Pink
Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Black Yellow Yellow Black Black Black Black Pink Pink
Pink Pink Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Pink Pink
Pink Pink Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Pink Pink
Pink Pink Yellow Yellow Black Yellow Yellow Black Black Pink Pink Black Yellow Yellow Black Yellow Yellow Black Pink Pink
Pink Pink Yellow Yellow Yellow Black Yellow Black Black Pink Pink Black Yellow Yellow Yellow Black Yellow Black Pink Pink
Pink Pink Yellow Black Yellow Yellow Yellow Black Black Pink Pink Black Yellow Black Yellow Yellow Yellow Black Pink Pink
Pink Pink Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black 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


Example 3
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Blue Blue Black Black Blue Black Black Black Orange
Orange Blue Blue Blue Black Blue Blue Black Black Orange
Orange Black Black Blue Black Black Black Black Black Orange
Orange Blue Blue Black Blue Black Black Black Black Orange
Orange Black Black Blue Black Blue Black Blue Black Orange
Orange Black Black Black Blue Black Black Blue Black Orange
Orange Blue Blue Blue Black Black Blue Blue Black Orange
Orange Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Orange Blue Blue Blue Blue Black Blue Blue Black Orange Orange
Orange Orange Blue Blue Blue Blue Black Black Black Orange Blue Blue Black Blue Black Black Black Black Orange Orange
Orange Orange Blue Blue Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Blue Black Black Black Orange Orange
Orange Orange Blue Blue Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Black Blue Black Blue Orange Orange
Orange Orange Black Black Blue Black Blue Blue Black Orange Orange Black Black Black Blue Black Black Blue Orange Orange
Orange Orange Blue Blue Black Black Blue Blue Black Orange Orange Blue Blue Blue Black Black Blue Blue Orange Orange
Orange Orange Blue Blue Blue Blue Black Black Blue Blue Orange Black Black Black Black Black Black Black Orange Orange
Orange Orange Blue Blue Blue Blue Orange Orange Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Orange Orange
Orange Orange Blue Black Black Blue Blue Blue Black Orange Blue Blue Blue Black Blue Blue Black Black Orange Orange
Orange Orange Blue Blue Black Blue Blue Black Blue Blue Orange Blue Blue Blue Blue Blue Blue Black Orange Orange
Orange Orange Black Blue Black Black Black Black Blue Blue Orange Black Black Blue Blue Blue Black Black Orange Orange
Orange Orange Blue Blue Blue Blue Blue Blue Black Orange Orange Blue Blue Blue Blue Blue Black Black Orange Orange
Orange Orange Blue Blue Blue Blue Blue Blue Black Orange Orange Black Blue Blue Blue Blue Black Blue Orange Orange
Orange Orange Black Black Blue Black Black Blue Black Orange Orange Black Black Black Blue Black Black Blue Orange Orange
Orange Orange Blue Blue Black Black Blue Blue Black Orange Orange Blue Blue Blue Black Black 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


Here is the input grid for the test example:
Input:
Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Black Black Black Gray
Gray Black Orange Orange Black Black Black Gray
Gray Black Black Orange Black Orange Black Gray
Gray Black Orange Black Black Orange Black Gray
Gray Black Black Orange Black Black Black Gray
Gray Black Black Black Black Black Black Gray
Gray Gray Gray Gray 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 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 Orange Orange Black Black Black Gray Gray Black Orange Orange Black Black Gray Gray
Gray Gray Black Orange Black Orange Black Gray Gray Black Black Orange Black Orange Gray Gray
Gray Gray Orange Black Orange Orange Orange Orange Gray Black Orange Black Black Orange Gray Gray
Gray Gray Black Orange Orange Orange Orange Orange Gray Black Black Orange Black Black Gray Gray
Gray Gray Black Black Black Black Orange Orange Gray Black Orange Orange Black Black Gray Gray
Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Gray Gray
Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray
Gray Gray Black Black Orange Orange Black Gray Gray Black Orange Orange Black Black Gray Gray
Gray Gray Orange Orange Black Black Orange Orange Gray Black Orange Orange Black Black Gray Gray
Gray Gray Black Orange Black Orange Orange Orange Gray Black Black Orange Black Orange Gray Gray
Gray Gray Orange Black Black Orange Black Gray Gray Black Orange Black Black Orange Gray Gray
Gray Gray Black Orange Black Black Black Gray Gray Black Black Orange Black Black 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
```
assistant