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:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Black Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Black Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown
Brown Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black Black Brown Brown Brown Brown
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black Black Brown Brown Brown Brown
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Black Black Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Black Black Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


Example 2
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 3
Input:
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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Brown Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Brown Brown Brown Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Black Black Brown Black 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 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 Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

Output:
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 Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Brown Brown Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Brown Brown Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Brown Brown Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Brown Brown Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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


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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Black Black Brown Brown Brown Brown Black Black Black Black Yellow Yellow
Yellow Yellow Black Black Brown Brown Brown Brown Black Black Black Black Yellow Yellow
Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow
Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Black Black Yellow Yellow
Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black Yellow Yellow
Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
```
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