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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Pink Blue Pink Black Black Blue Pink Blue Blue Black Black Blue Blue Blue Blue Blue
Blue Blue Black Black Pink Blue Blue Blue Blue Black Blue Black Blue Blue Black Black Blue
Blue Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Black Black Pink Blue Blue
Black Black Blue Black Black Black Pink Pink Black Blue Blue Blue Black Black Pink Blue Pink
Blue Blue Blue Blue Blue Blue Pink Black Blue Blue Black Blue Black Black Black Black Black
Blue Blue Black Blue Black Blue Pink Blue Blue Black Blue Blue Blue Blue Blue Blue Pink
Blue Blue Pink Pink Pink Blue Pink Blue Pink Black Black Pink Black Blue Black Pink Pink
Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Blue Blue Pink Pink Pink Black
Black Black Blue Pink Blue Blue Pink Black Blue Blue Pink Black Pink Blue Blue Black Blue
Blue Blue Blue Black Pink Black Black Pink Black Pink Blue Pink Pink Pink Black Pink Blue
Blue Red Blue Pink Pink Pink Blue Blue Pink Pink Blue Blue Blue Black Blue Blue Black
Blue Red Pink Black Blue Black Blue Blue Pink Pink Blue Blue Blue Blue Pink Blue Pink
Black Red Blue Blue Black Blue Black Blue Pink Blue Black Black Black Black Blue Blue Blue
Blue Red Pink Blue Blue Blue Black Black Black Blue Blue Blue Pink Pink Black Blue Black
Pink Red Pink Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue
Blue Red Red Red Red Black Pink Blue Blue Blue Pink Black Blue Black Black Black Blue
Blue Black Blue Blue Blue Black Blue Pink Blue Blue Blue Black Black Pink Black Pink Pink
Pink Blue Black Blue Pink Blue Black Black Blue Blue Pink Blue Pink Black Blue Blue Pink
Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Pink Blue Blue Black Pink
Blue Pink Blue Black Black Blue Blue Black Blue Black Blue Pink Blue Blue Blue Black Blue

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Blue Black Black Blue Orange Blue Black Blue Blue Red Red Orange Black Blue Purple Purple Blue
Blue Black Orange Orange Blue Blue Blue Blue Blue Red Red Blue Purple Black Purple Blue Black
Blue Blue Blue Black Blue Blue Blue Black Blue Red Red Red Red Red Red Red Red
Blue Purple Blue Blue Blue Black Blue Blue Blue Red Red Red Red Red Purple Blue Blue
Blue Blue Blue Black Purple Purple Blue Blue Purple Purple Blue Blue Blue Orange Blue Blue Blue
Blue Blue Blue Blue Orange Black Blue Blue Purple Blue Purple Purple Blue Black Blue Blue Black
Blue Black Blue Blue Blue Blue Blue Orange Orange Blue Black Black Blue Blue Blue Blue Purple
Blue Black Blue Black Orange Blue Black Blue Purple Orange Blue Blue Black Blue Blue Blue Blue
Blue Blue Orange Blue Blue Blue Blue Purple Black Blue Blue Orange Orange Blue Purple Blue Blue
Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Purple Blue
Black Black Orange Blue Blue Blue Black Black Blue Black Black Purple Blue Blue Orange Black Blue
Purple Orange Blue Blue Blue Blue Purple Blue Blue Black Purple Blue Blue Blue Black Blue Blue
Blue Black Orange Purple Black Orange Purple Blue Blue Blue Blue Orange Blue Orange Black Blue Black
Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Purple Black Blue Blue
Blue Orange Blue Black Blue Blue Black Black Purple Blue Orange Blue Black Black Blue Blue Blue
Blue Blue Orange Orange Orange Blue Black Blue Purple Orange Black Purple Blue Blue Blue Purple Black
Blue Blue Blue Orange Blue Black Blue Orange Black Purple Purple Black Blue Black Blue Blue Blue
Blue Blue Blue Blue Black Orange Blue Blue Blue Blue Purple Blue Blue Orange Blue Orange Blue
Blue Purple Orange Blue Purple Blue Blue Black Black Blue Blue Blue Orange Blue Blue Purple Blue
Black Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue Black Blue Blue
Orange Blue Blue Blue Black Blue Blue Blue Blue Black Orange Blue Blue Blue Black Blue Blue

Output:
Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

```
Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant