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:
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Black Black Black Black
Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black Black Black Black Black Black Black Black


Example 2
Input:
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black

Output:
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple Purple
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange

Output:
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Orange Orange Orange Orange Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange


Here is the input grid for the test example:
Input:
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Pink Pink Pink Pink Purple Purple Purple Purple Blue Blue Blue Blue
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple 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 Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Pink Pink Pink Pink Purple Purple Purple Purple Red Red Red Red
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant