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

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


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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Black Black Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Black Black Pink Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Pink Gray Gray Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray Gray Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Yellow Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Pink Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Gray Gray Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Gray Gray Pink Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Pink Pink Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray Gray Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 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 Blue Purple Purple Blue 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 Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Pink Pink Pink Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Blue Black Pink Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Black Black Pink Pink Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Pink Pink Pink Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue 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 Red Red Red Red Red Red Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Pink Pink Pink Red Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Blue Blue Pink Red Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Blue Blue Pink Pink Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Pink Pink Pink Pink Red Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Pink Red Red Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant