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

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

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

```
Black Black Black Black Black Black Green Green 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 Green Green 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 Green Green 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 Green Green 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 Green Green 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 Green Green 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 Green Green 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 Green Green 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 Green Green 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 Green Green Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Yellow Yellow Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Black Black Yellow Yellow Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown 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 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 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 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 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 Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant