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
Red Red Yellow Yellow Green Green Brown Brown
Red Red Yellow Yellow Green Green Brown Brown
Gray Gray Orange Orange Green Green Brown Brown
Gray Gray Orange Orange Green Green Brown Brown
Orange Orange Orange Orange Purple Purple Purple Purple
Orange Orange Orange Orange Purple Purple Purple Purple

Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Red Red Yellow Yellow Green Green Brown Brown
Red Red Yellow Yellow Green Green Brown Brown
Gray Gray Orange Orange Green Green Brown Brown
Gray Gray Orange Orange Green Green Brown Brown
Orange Orange Orange Orange Purple Purple Purple Purple
Orange Orange Orange Orange Purple Purple Purple Purple
Orange Orange Orange Orange Purple Purple Purple Purple
Orange Orange Orange Orange Purple Purple Purple Purple
Gray Gray Orange Orange Green Green Brown Brown
Gray Gray Orange Orange Green Green Brown Brown
Red Red Yellow Yellow Green Green Brown Brown
Red Red Yellow Yellow Green Green Brown Brown
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow


Example 2
Input:
Orange Orange Purple Purple Blue Blue Pink Pink Pink Pink
Orange Orange Purple Purple Blue Blue Pink Pink Pink Pink
Purple Purple Brown Brown Blue Blue Pink Pink Yellow Yellow
Purple Purple Brown Brown Blue Blue Pink Pink Yellow Yellow
Gray Gray Yellow Yellow Green Green Green Green Green Green
Gray Gray Yellow Yellow Green Green Green Green Green Green
Gray Gray Orange Orange Brown Brown Gray Gray Yellow Yellow
Gray Gray Orange Orange Brown Brown Gray Gray Yellow Yellow
Red Red Brown Brown Brown Brown Gray Gray Yellow Yellow
Red Red Brown Brown Brown Brown Gray Gray Yellow Yellow

Output:
Orange Orange Purple Purple Blue Blue Pink Pink Pink Pink
Orange Orange Purple Purple Blue Blue Pink Pink Pink Pink
Purple Purple Brown Brown Blue Blue Pink Pink Yellow Yellow
Purple Purple Brown Brown Blue Blue Pink Pink Yellow Yellow
Gray Gray Yellow Yellow Green Green Green Green Green Green
Gray Gray Yellow Yellow Green Green Green Green Green Green
Gray Gray Orange Orange Brown Brown Gray Gray Yellow Yellow
Gray Gray Orange Orange Brown Brown Gray Gray Yellow Yellow
Red Red Brown Brown Brown Brown Gray Gray Yellow Yellow
Red Red Brown Brown Brown Brown Gray Gray Yellow Yellow
Red Red Brown Brown Brown Brown Gray Gray Yellow Yellow
Red Red Brown Brown Brown Brown Gray Gray Yellow Yellow
Gray Gray Orange Orange Brown Brown Gray Gray Yellow Yellow
Gray Gray Orange Orange Brown Brown Gray Gray Yellow Yellow
Gray Gray Yellow Yellow Green Green Green Green Green Green
Gray Gray Yellow Yellow Green Green Green Green Green Green
Purple Purple Brown Brown Blue Blue Pink Pink Yellow Yellow
Purple Purple Brown Brown Blue Blue Pink Pink Yellow Yellow
Orange Orange Purple Purple Blue Blue Pink Pink Pink Pink
Orange Orange Purple Purple Blue Blue Pink Pink Pink Pink


Example 3
Input:
Gray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink
Gray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink
Gray Gray Gray Gray Red Red Blue Blue Gray Gray
Gray Gray Gray Gray Red Red Blue Blue Gray Gray
Blue Blue Gray Gray Red Red Red Red Red Red
Blue Blue Gray Gray Red Red Red Red Red Red
Blue Blue Orange Orange Brown Brown Brown Brown Purple Purple
Blue Blue Orange Orange Brown Brown Brown Brown Purple Purple
Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange
Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange

Output:
Gray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink
Gray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink
Gray Gray Gray Gray Red Red Blue Blue Gray Gray
Gray Gray Gray Gray Red Red Blue Blue Gray Gray
Blue Blue Gray Gray Red Red Red Red Red Red
Blue Blue Gray Gray Red Red Red Red Red Red
Blue Blue Orange Orange Brown Brown Brown Brown Purple Purple
Blue Blue Orange Orange Brown Brown Brown Brown Purple Purple
Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange
Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange
Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange
Orange Orange Orange Orange Purple Purple Brown Brown Orange Orange
Blue Blue Orange Orange Brown Brown Brown Brown Purple Purple
Blue Blue Orange Orange Brown Brown Brown Brown Purple Purple
Blue Blue Gray Gray Red Red Red Red Red Red
Blue Blue Gray Gray Red Red Red Red Red Red
Gray Gray Gray Gray Red Red Blue Blue Gray Gray
Gray Gray Gray Gray Red Red Blue Blue Gray Gray
Gray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink
Gray Gray Brown Brown Yellow Yellow Gray Gray Pink Pink


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

```
Blue Blue Pink Pink Red Red
Blue Blue Pink Pink Red Red
Blue Blue Blue Blue Yellow Yellow
Blue Blue Blue Blue Yellow Yellow
Pink Pink Blue Blue Purple Purple
Pink Pink Blue Blue Purple Purple
Pink Pink Blue Blue Purple Purple
Pink Pink Blue Blue Purple Purple
Blue Blue Blue Blue Yellow Yellow
Blue Blue Blue Blue Yellow Yellow
Blue Blue Pink Pink Red Red
Blue Blue Pink Pink Red Red
```
assistant