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:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Yellow Yellow Green Green Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Yellow Yellow Green Green Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Blue Blue
Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black Blue Blue
Black Black Black Black Blue Blue Purple Purple Black Black Red Red Black Black Yellow Yellow Blue Blue Blue Blue
Black Black Black Black Blue Blue Purple Purple Black Black Red Red Black Black Yellow Yellow Blue Blue Blue Blue
Red Red Black Black Black Black Black Black Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink
Red Red Black Black Black Black Black Black Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink
Red Red Black Black Black Black Black Black Red Red Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink
Red Red Black Black Black Black Black Black Red Red Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink

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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink


Example 2
Input:
Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Pink Blue Blue Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Pink Pink Blue Blue Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Red Red Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Red Red Black Black Black Black Black Black Black Black Pink Pink
Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Black Black Green Green Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Black Black Green Green Black Black Black Black Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Red Red Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Purple Purple Red Red Black Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Purple Purple Red Red Black Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Purple Purple Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Purple Purple Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue

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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


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

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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


Here is the input grid for the test example:
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Black Black Black Black Yellow Yellow Red Red Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Black Black Black Black Yellow Yellow Red Red Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Purple Purple Black Black Red Red Black Black Black Black
Black Black Black Black Red Red Blue Blue Black Black Purple Purple Black Black Red Red Black Black Black Black
Red Red Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Purple Purple Black Black Blue Blue
Red Red Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Purple Purple Black Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Red Red Black Black Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Red Red Black Black Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant