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:
Red Red Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Purple Purple Yellow Yellow Purple Purple
Red Red Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Purple Purple Yellow Yellow Purple Purple
Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Green Green
Yellow Yellow Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Green Green
Purple Purple Red Red Blue Blue Blue Blue Purple Purple Blue Blue Green Green Purple Purple Red Red
Purple Purple Red Red Blue Blue Blue Blue Purple Purple Blue Blue Green Green Purple Purple Red Red
Purple Purple Green Green Green Green Purple Purple Yellow Yellow Green Green Green Green Blue Blue Blue Blue
Purple Purple Green Green Green Green Purple Purple Yellow Yellow Green Green Green Green Blue Blue Blue Blue
Green Green Red Red Purple Purple Yellow Yellow Blue Blue Green Green Purple Purple Red Red Blue Blue
Green Green Red Red Purple Purple Yellow Yellow Blue Blue Green Green Purple Purple Red Red Blue Blue
Yellow Yellow Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple Red Red Blue Blue Green Green
Yellow Yellow Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple Red Red Blue Blue Green Green
Yellow Yellow Purple Purple Yellow Yellow Red Red Blue Blue Yellow Yellow Purple Purple Blue Blue Yellow Yellow
Yellow Yellow Purple Purple Yellow Yellow Red Red Blue Blue Yellow Yellow Purple Purple Blue Blue Yellow Yellow

Output:
Blue Blue Red Red Purple Purple Green Green Green Green Purple Purple Green Green Red Red Green Green
Blue Blue Red Red Purple Purple Green Green Green Green Purple Purple Green Green Red Red Green Green
Red Red Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Yellow Yellow
Red Red Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Yellow Yellow
Green Green Blue Blue Purple Purple Purple Purple Green Green Purple Purple Yellow Yellow Green Green Blue Blue
Green Green Blue Blue Purple Purple Purple Purple Green Green Purple Purple Yellow Yellow Green Green Blue Blue
Green Green Yellow Yellow Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Green Green Yellow Yellow Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Purple Purple Purple Purple
Yellow Yellow Blue Blue Green Green Red Red Purple Purple Yellow Yellow Green Green Blue Blue Purple Purple
Yellow Yellow Blue Blue Green Green Red Red Purple Purple Yellow Yellow Green Green Blue Blue Purple Purple
Red Red Green Green Red Red Green Green Purple Purple Green Green Blue Blue Purple Purple Yellow Yellow
Red Red Green Green Red Red Green Green Purple Purple Green Green Blue Blue Purple Purple Yellow Yellow
Red Red Green Green Red Red Blue Blue Purple Purple Red Red Green Green Purple Purple Red Red
Red Red Green Green Red Red Blue Blue Purple Purple Red Red Green Green Purple Purple Red Red


Example 2
Input:
Blue Blue Red Red Yellow Yellow Red Red Purple Purple Purple Purple
Blue Blue Red Red Yellow Yellow Red Red Purple Purple Purple Purple
Green Green Yellow Yellow Yellow Yellow Red Red Red Red Red Red
Green Green Yellow Yellow Yellow Yellow Red Red Red Red Red Red
Yellow Yellow Green Green Blue Blue Red Red Purple Purple Blue Blue
Yellow Yellow Green Green Blue Blue Red Red Purple Purple Blue Blue
Purple Purple Blue Blue Blue Blue Yellow Yellow Red Red Green Green
Purple Purple Blue Blue Blue Blue Yellow Yellow Red Red Green Green
Green Green Red Red Yellow Yellow Yellow Yellow Green Green Blue Blue
Green Green Red Red Yellow Yellow Yellow Yellow Green Green Blue Blue
Purple Purple Yellow Yellow Green Green Red Red Red Red Yellow Yellow
Purple Purple Yellow Yellow Green Green Red Red Red Red Yellow Yellow
Yellow Yellow Red Red Blue Blue Purple Purple Green Green Red Red
Yellow Yellow Red Red Blue Blue Purple Purple Green Green Red Red
Purple Purple Yellow Yellow Blue Blue Blue Blue Purple Purple Yellow Yellow
Purple Purple Yellow Yellow Blue Blue Blue Blue Purple Purple Yellow Yellow
Green Green Purple Purple Blue Blue Red Red Green Green Blue Blue
Green Green Purple Purple Blue Blue Red Red Green Green Blue Blue

Output:
Purple Purple Blue Blue Red Red Blue Blue Green Green Green Green
Purple Purple Blue Blue Red Red Blue Blue Green Green Green Green
Yellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Blue
Yellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Blue
Red Red Yellow Yellow Purple Purple Blue Blue Green Green Purple Purple
Red Red Yellow Yellow Purple Purple Blue Blue Green Green Purple Purple
Green Green Purple Purple Purple Purple Red Red Blue Blue Yellow Yellow
Green Green Purple Purple Purple Purple Red Red Blue Blue Yellow Yellow
Yellow Yellow Blue Blue Red Red Red Red Yellow Yellow Purple Purple
Yellow Yellow Blue Blue Red Red Red Red Yellow Yellow Purple Purple
Green Green Red Red Yellow Yellow Blue Blue Blue Blue Red Red
Green Green Red Red Yellow Yellow Blue Blue Blue Blue Red Red
Red Red Blue Blue Purple Purple Green Green Yellow Yellow Blue Blue
Red Red Blue Blue Purple Purple Green Green Yellow Yellow Blue Blue
Green Green Red Red Purple Purple Purple Purple Green Green Red Red
Green Green Red Red Purple Purple Purple Purple Green Green Red Red
Yellow Yellow Green Green Purple Purple Blue Blue Yellow Yellow Purple Purple
Yellow Yellow Green Green Purple Purple Blue Blue Yellow Yellow Purple Purple


Example 3
Input:
Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Green Green Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Red Red Yellow Yellow Yellow Yellow Blue Blue Purple Purple
Purple Purple Red Red Yellow Yellow Yellow Yellow Blue Blue Purple Purple
Red Red Blue Blue Purple Purple Blue Blue Yellow Yellow Green Green
Red Red Blue Blue Purple Purple Blue Blue Yellow Yellow Green Green
Yellow Yellow Red Red Green Green Red Red Red Red Green Green
Yellow Yellow Red Red Green Green Red Red Red Red Green Green
Red Red Yellow Yellow Green Green Red Red Green Green Blue Blue
Red Red Yellow Yellow Green Green Red Red Green Green Blue Blue
Green Green Purple Purple Yellow Yellow Red Red Green Green Yellow Yellow
Green Green Purple Purple Yellow Yellow Red Red Green Green Yellow Yellow
Purple Purple Red Red Yellow Yellow Blue Blue Purple Purple Yellow Yellow
Purple Purple Red Red Yellow Yellow Blue Blue Purple Purple Yellow Yellow
Blue Blue Green Green Green Green Purple Purple Red Red Red Red
Blue Blue Green Green Green Green Purple Purple Red Red Red Red

Output:
Yellow Yellow Green Green Green Green Green Green Purple Purple Purple Purple
Yellow Yellow Green Green Green Green Green Green Purple Purple Purple Purple
Green Green Blue Blue Red Red Red Red Purple Purple Green Green
Green Green Blue Blue Red Red Red Red Purple Purple Green Green
Blue Blue Purple Purple Green Green Purple Purple Red Red Yellow Yellow
Blue Blue Purple Purple Green Green Purple Purple Red Red Yellow Yellow
Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow
Red Red Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow
Blue Blue Red Red Yellow Yellow Blue Blue Yellow Yellow Purple Purple
Blue Blue Red Red Yellow Yellow Blue Blue Yellow Yellow Purple Purple
Yellow Yellow Green Green Red Red Blue Blue Yellow Yellow Red Red
Yellow Yellow Green Green Red Red Blue Blue Yellow Yellow Red Red
Green Green Blue Blue Red Red Purple Purple Green Green Red Red
Green Green Blue Blue Red Red Purple Purple Green Green Red Red
Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Blue Blue
Purple Purple Yellow Yellow Yellow Yellow Green Green Blue Blue Blue Blue


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


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 Red Red Blue Blue Purple Purple Purple Purple Yellow Yellow Blue Blue Purple Purple
Yellow Yellow Red Red Blue Blue Purple Purple Purple Purple Yellow Yellow Blue Blue Purple Purple
Yellow Yellow Green Green Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Red Red
Yellow Yellow Green Green Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Red Red
Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Green Green Red Red Green Green
Blue Blue Blue Blue Yellow Yellow Purple Purple Blue Blue Green Green Red Red Green Green
Yellow Yellow Red Red Red Red Green Green Yellow Yellow Red Red Blue Blue Blue Blue
Yellow Yellow Red Red Red Red Green Green Yellow Yellow Red Red Blue Blue Blue Blue
Purple Purple Green Green Yellow Yellow Purple Purple Blue Blue Yellow Yellow Green Green Purple Purple
Purple Purple Green Green Yellow Yellow Purple Purple Blue Blue Yellow Yellow Green Green Purple Purple
Yellow Yellow Blue Blue Purple Purple Green Green Yellow Yellow Blue Blue Green Green Green Green
Yellow Yellow Blue Blue Purple Purple Green Green Yellow Yellow Blue Blue Green Green Green Green
Green Green Red Red Blue Blue Yellow Yellow Yellow Yellow Red Red Blue Blue Yellow Yellow
Green Green Red Red Blue Blue Yellow Yellow Yellow Yellow Red Red Blue Blue Yellow Yellow
Green Green Blue Blue Red Red Green Green Green Green Purple Purple Blue Blue Green Green
Green Green Blue Blue Red Red Green Green Green Green Purple Purple Blue Blue Green Green
```
assistant