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 Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Orange Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Black Black Black Black Black Yellow Yellow Yellow Black Blue Blue Black
Black Black Black Black Black Red Red Red Red Black Black Black Black Black Yellow Yellow Yellow Black Blue Black Blue
Black Black Black Black Black Red Red Red Red Black Black Black Black Black Yellow Black Black Black Blue Blue Blue
Black Black Black Black Black Red Red Red 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 Black 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 Black Black Black Black Black Green Green Green Black Black 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 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 Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Blue Orange Black Black Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Red Red Red Red Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Black Black Black Black Black Yellow Yellow Yellow Black Orange Orange Black
Black Black Black Black Black Red Red Red Red Black Black Black Black Black Yellow Yellow Yellow Black Orange Orange Orange
Black Black Black Black Black Red Red Red Red Black Black Black Black Black Yellow Black Black Black Orange Orange Orange
Black Black Black Black Black Red Red Red 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 Black 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 Black Black Black Black Black Green Green Green Black Black 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 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 Green Green Black Black 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 Green Green Black Black 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 Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Black 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 Blue Red Red Red 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 Blue Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black 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 Black 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 Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Purple Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black 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 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 Green Green Black Black 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 Green Green Black Black 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 Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Black 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 Blue Red Red Red 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 Blue Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black 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 Black 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 Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Purple Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Red Blue Red Red 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 Blue Blue Black Blue Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink
Black Black Black Black Black Black Black Black Black Blue 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 Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Blue Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Blue Green Green Green Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Blue Green Green Green Green Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Blue Green Green Black Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Green Blue Blue Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Green Black Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Green Green Black Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Green Green Green Blue Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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