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

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


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