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 Red Green Blue Gray
Red Black Black Black Black
Green Black Black Pink Pink
Blue Black Black Pink Pink
Gray Black Black Black Black

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


Example 2
Input:
Black Blue Purple Red Gray
Blue Black Black Black Black
Purple Black Black Green Green
Red Black Black Green Green
Gray Black Black Black Black

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


Example 3
Input:
Black Purple Brown Red Pink
Purple Black Black Black Black
Brown Black Black Red Red
Red Black Black Red Red
Pink Black Black Black Black

Output:
Blue Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink
Black Blue Black Black Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink
Black Black Blue Black Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink
Black Black Black Blue Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink
Purple Purple Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Blue Black Black Black Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Black Black Black Black Black Blue Black Black Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Black Black Black Black Black Black Blue Black Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Black Black Black Black Black Black Black Blue Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black
Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue


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


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 Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow
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
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
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
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
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
Blue Blue Blue Blue Blue 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
```
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