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 Red Red Red Red Red Red Black Black Black Black Black Black
Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black
Black Black Black Red Yellow Yellow Green Green Green Green Yellow Yellow Red Black Black Black Black
Black Black Black Red Yellow Green Gray Gray Gray Gray Green Yellow Red Black Black Black Black
Black Black Black Red Yellow Green Gray Orange Orange Gray Green Yellow Red Black Black Black Black
Black Black Black Red Yellow Green Gray Orange Orange Gray Green Yellow Red Red Black Black Black
Black Black Black Red Yellow Green Gray Gray Gray Gray Green Yellow Red Black Black Black Black
Black Black Black Red Yellow Yellow Green Green Green Green Yellow Yellow Red Black Black Black Black
Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Yellow Red 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 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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Red Yellow Yellow Yellow Yellow Yellow Yellow Red Purple Purple Purple Purple Purple
Purple Purple Purple Red Yellow Yellow Green Green Green Green Yellow Yellow Red Purple Purple Purple Purple
Purple Purple Purple Red Yellow Green Gray Gray Gray Gray Green Yellow Red Purple Purple Purple Purple
Purple Purple Purple Red Yellow Green Gray Orange Orange Gray Green Yellow Red Purple Purple Purple Purple
Purple Purple Purple Red Yellow Green Gray Orange Orange Gray Green Yellow Red Red Purple Purple Purple
Purple Purple Purple Red Yellow Green Gray Gray Gray Gray Green Yellow Red Purple Purple Purple Purple
Purple Purple Purple Red Yellow Yellow Green Green Green Green Yellow Yellow Red Purple Purple Purple Purple
Purple Purple Purple Purple Red Yellow Yellow Yellow Yellow Yellow Yellow Red Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
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 Red Gray Gray Gray Gray Gray Gray Red Black Black Black Black
Black Black Red Gray Gray Blue Blue Blue Blue Gray Gray Red Black Black Black
Black Black Red Gray Blue Gray Gray Gray Gray Blue Gray Red Black Black Black
Black Black Red Gray Blue Gray Yellow Yellow Gray Blue Gray Red Black Black Black
Black Black Red Gray Blue Gray Yellow Yellow Gray Blue Gray Red Red Black Black
Black Black Red Gray Blue Gray Gray Gray Gray Blue Gray Red Black Black Black
Black Black Red Gray Gray Blue Blue Blue Blue Gray Gray Red Black Black Black
Black Black Black Red Gray Gray Gray Gray Gray Gray Red 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 Red Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple
Purple Purple Purple Red Gray Gray Gray Gray Gray Gray Red Purple Purple Purple Purple
Purple Purple Red Gray Gray Blue Blue Blue Blue Gray Gray Red Purple Purple Purple
Purple Purple Red Gray Blue Gray Gray Gray Gray Blue Gray Red Purple Purple Purple
Purple Purple Red Gray Blue Gray Yellow Yellow Gray Blue Gray Red Purple Purple Purple
Purple Purple Red Gray Blue Gray Yellow Yellow Gray Blue Gray Red Red Purple Purple
Purple Purple Red Gray Blue Gray Gray Gray Gray Blue Gray Red Purple Purple Purple
Purple Purple Red Gray Gray Blue Blue Blue Blue Gray Gray Red Purple Purple Purple
Purple Purple Purple Red Gray Gray Gray Gray Gray Gray Red Purple Purple Purple Purple
Purple Purple Purple Purple Red Red Red Red Red Red Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple


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 Red Red Red Red Red Red Black Black Black Black Black
Black Black Black Black Black Red Gray Gray Gray Gray Red Black Black Black Black Black
Black Black Black Black Black Red Gray Blue Blue Gray Red Black Black Black Black Black
Black Black Black Black Black Red Gray Blue Blue Gray Red Red Black Black Black Black
Black Black Black Black Black Red Gray Gray Gray Gray Red 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 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

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


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:

```
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue
Blue Blue Blue Blue Green Pink Pink Pink Pink Green Blue Blue Blue Blue
Blue Blue Blue Blue Green Pink Orange Orange Pink Green Blue Blue Blue Blue
Blue Blue Blue Blue Green Pink Orange Orange Pink Green Blue Blue Blue Blue
Blue Blue Blue Blue Green Pink Pink Pink Pink Green Blue Blue Blue Blue
Blue Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
```
assistant