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

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


Example 3
Input:
Black Black Pink Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black
Black Black Pink Purple Purple Black Black Black Black Black Black Black Pink Pink Black Black
Black Black Black Purple Purple Pink Black Blue Black Blue Black Gray Gray Gray Gray Black
Black Black Pink Pink Black Pink Black Red Red Red Blue Purple Gray Gray Purple Black
Black Green Black Black Black Black Black Orange Red Red Black Blue Blue Blue Black Black
Black Blue Blue Green Black Black Black Green Green Red Black Blue Black Black Black Black
Green Blue Blue Black Black Black Black Green Green Red Black Black Black Black Black Black
Black Black Green Black Black Black Black Orange Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Blue Blue Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black
Black Black Blue Blue Pink Pink Black Black Black Black Purple Purple Black Black Black Black

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


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black
Pink Pink Gray Gray Black Black Black Black Black Black Purple Blue Blue Purple Black
Pink Pink Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black
Gray Yellow Black Blue Blue Black Black Black Black Black Blue Yellow Yellow Blue Black
Gray Yellow Black Blue Blue Black Black Black Black Black Blue Yellow Yellow Blue Black
Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Black Blue Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Blue Blue Purple Black Black Black Blue Orange Orange Black Black Black Black
Black Black Gray Purple Purple Purple Black Blue Blue Blue Black Black Black Black Black
Blue Pink Black Gray Purple Blue Black Black Blue Black Black Black Black Black Black
Black Blue 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


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