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:
Blue Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Gray Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black 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 Black Black Black Black Black Black Black Black Black
Blue 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 Blue 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 Blue Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Blue Brown Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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
Green Blue 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 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

Output:
Brown


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 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 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 Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Blue Black Black Black Black Black Black Blue Purple Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Black Black Blue Yellow Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue 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 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 Blue Black Black Black Black Black Black

Output:
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 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 Blue 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
Orange Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Blue Pink Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue 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 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 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 Blue 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

Output:
Pink


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

```
Yellow
```
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