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 Red Red Blue Blue Red Red Red Red Red Blue Yellow Yellow Yellow Yellow Yellow
Red Red Red Red Blue Blue Red Red Red Red Red Blue Yellow Yellow Yellow Yellow Yellow
Red Red Red Red Blue Blue Red Red Red Red Red Blue Yellow Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Yellow Yellow Yellow Yellow Blue Blue Red Red Red Red Red Blue Red Red Red Red Red
Yellow Yellow Yellow Yellow Blue Blue Red Red Red Red Red Blue Red Red Red Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Blue Red Red Red Red Red
Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Blue Red Red Red Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Red Red Red Blue Blue Red Red Red Red Red Blue Red Red Red Red Red

Output:
Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Blue Orange Orange Orange Orange Orange
Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Blue Orange Orange Orange Orange Orange
Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Blue Orange Orange Orange Orange Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Blue Blue Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple
Orange Orange Orange Orange Blue Blue Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Blue Purple Purple Purple Purple Purple
Orange Orange Orange Orange Blue Blue Orange Orange Orange Orange Orange Blue Purple Purple Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple


Example 2
Input:
Red Blue Red Red Red Red Red Red Red Red Red Red Red Blue Red
Red Blue Red Red Red Red Red Red Red Red Red Red Red Blue Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Blue Red Red Red Red Red Red Red Red Red Red Red Blue Red
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Red Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow
Red Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow
Red Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow

Output:
Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple
Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Purple Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange
Purple Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange
Purple Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange


Example 3
Input:
Yellow Yellow Blue Red Red Red Blue Red Red Red Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Blue Red Red Red Blue Red Red Red Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Blue Red Red Red Blue Red Red Red Blue Blue Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Yellow Yellow Blue Yellow Yellow Yellow Blue Red Red Red Blue Blue Yellow Yellow Yellow Yellow
Yellow Yellow Blue Yellow Yellow Yellow Blue Red Red Red Blue Blue Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Yellow Yellow Blue Yellow Yellow Yellow Blue Red Red Red Blue Blue Red Red Red Red
Yellow Yellow Blue Yellow Yellow Yellow Blue Red Red Red Blue Blue Red Red Red Red
Yellow Yellow Blue Yellow Yellow Yellow Blue Red Red Red Blue Blue Red Red Red Red
Yellow Yellow Blue Yellow Yellow Yellow Blue Red Red Red Blue Blue Red Red Red Red

Output:
Orange Orange Blue Purple Purple Purple Blue Purple Purple Purple Blue Blue Orange Orange Orange Orange
Orange Orange Blue Purple Purple Purple Blue Purple Purple Purple Blue Blue Orange Orange Orange Orange
Orange Orange Blue Purple Purple Purple Blue Purple Purple Purple Blue Blue Orange Orange Orange Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Blue Orange Orange Orange Blue Purple Purple Purple Blue Blue Orange Orange Orange Orange
Orange Orange Blue Orange Orange Orange Blue Purple Purple Purple Blue Blue Orange Orange Orange Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Blue Orange Orange Orange Blue Purple Purple Purple Blue Blue Purple Purple Purple Purple
Orange Orange Blue Orange Orange Orange Blue Purple Purple Purple Blue Blue Purple Purple Purple Purple
Orange Orange Blue Orange Orange Orange Blue Purple Purple Purple Blue Blue Purple Purple Purple Purple
Orange Orange Blue Orange Orange Orange Blue Purple Purple Purple Blue Blue Purple Purple Purple Purple


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

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Orange Orange Orange
Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Orange Orange Orange
Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Orange Orange Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Orange Orange Orange
Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Orange Orange Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Purple Purple Purple
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Purple Purple Purple
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Orange Orange Orange
```
assistant