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
Purple Purple Black Black Black Black Red Blue Blue Blue Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple 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 Purple Purple Red Black Black Black Black 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 Black Black Black Black Black
Purple Purple Red Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple 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

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 Red Red Red Red Red Blue Blue Blue Blue
Black Black Black Black Black Black Red Red Red Red Red Red Red Blue Blue Blue Blue
Black Black Black Black Black Black Red Red Red Red Red Red Red Blue Blue Blue Blue
Black Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Blue Blue Blue Blue
Black Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Blue Blue Blue Blue
Black Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red


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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown Red Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Green 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 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

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 Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green


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 Black Black Black 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 Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Red Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Red Red Red
Black Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red
Black Black Black Black Black Black Black Black Black Brown Brown Brown Red Red Red
Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown


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 Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
```
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