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 Blue Orange Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Blue Blue Blue Gray Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Blue Blue Blue Blue Blue Orange Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Purple Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Orange Black Blue Blue Blue Blue Blue Gray Black Black Black
Black Black Black Purple Purple Purple Purple Gray Gray Gray Gray Gray Black
Black Black Black Blue Purple Purple Purple Gray Gray Gray Gray Gray Black
Black Black Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black
Black Black Black Purple Purple Purple Purple Gray Gray Gray Purple Gray Black
Black Black Black Purple Purple Purple Blue Gray Gray Gray Blue Gray Black
Black Black Black Black Blue Blue Blue Blue Blue Gray Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Orange Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Black Black
Black Black Black Purple Purple Blue Blue Blue Blue Blue Orange Black Black
Black Black Black Blue Blue Blue Blue Blue Gray Blue Orange Black Black
Black Black Black Black Blue Blue Blue Blue Blue Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Blue Orange Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Blue Blue Blue Gray Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Blue Blue Blue Blue Blue Orange Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Purple Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Gray Black Black Black
Black Black Black Purple Purple Purple Purple Gray Gray Gray Gray Gray Black
Black Black Black Blue Purple Purple Purple Gray Gray Gray Gray Gray Black
Black Black Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Black
Black Black Black Purple Purple Purple Purple Gray Gray Gray Purple Gray Black
Black Black Black Purple Purple Purple Blue Gray Gray Gray Blue Gray Black
Black Black Black Black Blue Blue Blue Blue Blue Gray Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Orange Black Black
Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Black Black
Black Black Black Purple Purple Blue Blue Blue Blue Blue Orange Black Black
Black Black Black Blue Blue Blue Blue Blue Gray Blue Orange Black Black
Black Black Black Black Blue Blue Blue Blue Blue Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black


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

Output:
Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Pink Orange Pink Black Black Black Black Black Black Black
Black Orange Orange Orange Orange Pink Pink Pink Pink Pink Purple Black Black Black Black
Orange Orange Pink Gray Pink Pink Pink Pink Pink Orange Pink Purple Black Black Black
Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Black Black
Black Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Gray Purple Pink Pink Pink Pink Purple Pink Pink Pink Black Black
Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Pink Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Blue Black Blue Black Black Black Black Black Black Pink Black Black Black Black
Black Black Black Pink Black Blue Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Blue Blue Blue Blue Pink Black Black Black Black Black Black Black
Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Pink Black Black Black Black Black
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Black Black Black Blue
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Pink Blue Blue Blue Blue Pink Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Blue Black Black Black Black Black Black Black Black Black Black
Black Pink Pink Pink Blue Blue Blue Blue Pink Black Black Black Black Black Black Black
Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Pink Black Black Black Black Black
Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Pink Blue Blue Blue Blue Pink Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black
Black 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:
Black Black Black Brown Blue Black Yellow Blue Black Black Black Black Black Black
Black Black Brown Brown Brown Blue Blue Yellow Blue Blue Black Black Black Black
Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Blue Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black
Black Brown Brown Brown Blue Blue Blue Blue Brown Blue Blue Blue Blue Black
Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Brown Black
Black Brown Brown Brown Brown Brown Blue Yellow Blue Blue Blue Brown Yellow Black
Black Black Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Black
Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Yellow Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Yellow 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:

```
Black Black Black Brown Blue Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Blue Blue Yellow Blue Blue Black Black Black Black
Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Black Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black
Black Brown Brown Brown Blue Blue Blue Blue Brown Blue Blue Blue Blue Black
Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Brown Black
Black Brown Brown Brown Brown Brown Blue Yellow Blue Blue Blue Brown Black Black
Black Black Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Black Black
Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Yellow Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black
```
assistant