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:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black

Output:
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown


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

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


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

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


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


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 Blue Blue Pink Pink Black Black Black Black Black Black
Purple Purple Blue Blue Pink Pink Black Black Black Black Black Black
Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black
Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black
Purple Purple Blue Blue Pink Pink Black Black Black Black Black Black
Purple Purple Blue Blue Pink Pink Black Black Black Black Black Black
Pink Pink Blue Blue Purple Purple Purple Purple Yellow Yellow Purple Purple
Pink Pink Blue Blue Purple Purple Purple Purple Yellow Yellow Purple Purple
Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue
Pink Pink Blue Blue Purple Purple Pink Pink Blue Blue Pink Pink
Pink Pink Blue Blue Purple Purple Pink Pink Blue Blue Pink Pink
```
assistant