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

Output:
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Gray Gray Black Black Black Black Black Black Black Black
Black Black Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Brown Brown Black Black Black Black
Black Black Gray Gray Pink Pink Pink Pink Gray Gray Brown Brown Blue Blue Brown Brown Black Black
Black Black Gray Gray Pink Pink Pink Pink Gray Gray Brown Brown Blue Blue Brown Brown Black Black
Black Black Purple Purple Pink Pink Pink Pink Purple Purple Black Black Brown Brown Black Black Black Black
Black Black Purple Purple Pink Pink Pink Pink Purple Purple Black Black Brown Brown Black Black Black Black
Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Orange Orange Orange Orange Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black
Orange Orange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black
Orange Orange Orange Orange Red Red Red Red Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black
Orange Orange Orange Orange Red Red Red Red Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Pink Pink Pink Pink Pink Pink 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 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 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 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 Red Red Blue Blue Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black
Black Black Black Black Red Red Blue Blue Brown Brown Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Red Red Blue Blue Brown Brown Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Pink Pink Black Black

Output:
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 Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Blue Blue Blue Blue Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple Purple Purple Pink Pink Black Black Black Black
Black Black Black Black Black Black Pink Pink Purple Purple Purple Purple Pink Pink Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue 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 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

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

```
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Pink Pink
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Pink Pink
Black Black Orange Orange Orange Orange Black Black Brown Brown Black Black Blue Blue Blue Blue Blue Blue
Black Black Orange Orange Orange Orange Black Black Brown Brown Black Black Blue Blue Blue Blue Blue Blue
Black Black Orange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Yellow Yellow Black Black
Black Black Orange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black
```
assistant