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:
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 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 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 Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Purple Blue Yellow Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Brown Purple 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 Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Blue Blue
Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Purple Purple Blue Blue
Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Brown Brown Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Brown Brown Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow

Output:
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 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 Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Blue Blue Blue Yellow Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Purple Purple Purple Yellow Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue
Brown Brown Brown Purple Purple Purple Yellow Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue
Brown Brown Brown Purple Purple Purple Yellow Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue
Yellow Purple Purple Purple Blue Blue Blue Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple
Yellow Purple Purple Purple Blue Blue Blue Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple
Yellow Purple Purple Purple Blue Blue Blue Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple
Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue
Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue
Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple
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


Example 2
Input:
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Brown Brown Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Brown Brown Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Brown Brown Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green

Output:
Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green


Example 3
Input:
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green
Green Green Green Green Green Green Green Green Green Purple Purple Green Green Purple Purple Purple Green Green
Green Green Green Green Green Green Green Green Green Purple Purple Green Green Green Purple Green Green Green
Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green
Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Purple Purple Green Green
Green Green Green Green Green Green Green Green Green Purple Purple Green Green Green Purple Purple Green Green
Green Green Green Green Green Green Green Green Green Purple Purple Green Purple Purple Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Green Green
Green Green Green Green Purple Purple Green Green Green Green Green Green Green Green Purple Purple Green Green
Green Green Green Green Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green

Output:
Green Green Green Green Green Green Green Green Purple Green Green Purple Green Green Purple Green Green Green
Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green
Green Green Green Green Green Green Purple Green Purple Green Green Purple Green Green Purple Green Green Green
Green Green Green Green Green Purple Purple Purple Green Purple Green Green Purple Green Green Purple Green Green
Green Green Green Green Green Green Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Green
Green Green Green Green Green Green Green Green Green Purple Green Green Purple Green Green Purple Green Green
Green Green Green Green Green Green Green Green Green Purple Green Green Purple Green Green Purple Green Green
Green Green Green Green Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Green
Green Green Green Purple Purple Purple Green Green Green Purple Green Green Purple Green Green Purple Green Green
Green Green Purple Green Purple Green Purple Green Green Green Green Green Green Green Purple Green Green Green
Green Purple Purple Purple Green Purple Purple Purple Green Green Green Green Green Purple Purple Purple Green Green
Green Green Purple Green Purple Green Purple Green Purple Green Green Green Green Green Purple Green Green Green
Green Green Green Purple Purple Purple Green Purple Purple Purple Green Green Green Green Green Green Green Green
Green Green Green Green Purple Green Purple Green Purple Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green Green Green


Here is the input grid for the test example:
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
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue 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 Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Blue Blue Blue Blue 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


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:

```
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue 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
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray
Blue Blue Blue Blue Blue Blue 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
```
assistant