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 Blue Black Blue Black Black Black Black Black Black Black Black
Black Black Red Yellow Orange Yellow Red Black Black Black Black Black Black Black
Black Black Red Brown Black Brown Red Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Blue Green Blue Black Black Black Black Black Black Black Black Black
Black Black Black Blue Purple Black Black Black Black Black Black Black Black Black
Black Black Blue Green Blue Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Yellow Yellow Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Blue Black Yellow Black Blue Black Black
Black Black Black Black Black Black Yellow Blue Yellow Yellow Yellow Blue Yellow Black
Black Black Black Black Black Black Blue Blue Black Orange Black Blue Blue Black
Black Black Black Black Black Black Blue Blue Blue Orange Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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 Orange Purple Purple Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Yellow Purple Purple Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Yellow Purple Purple Yellow Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black
Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Red Red Yellow Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Purple Orange Orange Yellow Black
Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Green Orange Orange Black
Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black Black Green Black Orange Black
Black Black Red Red Black Black Black Black Red Red Black Black Black Black Black Green Orange Orange Black
Black Black Red Red Black Black Black Black Red Red Black Black Black Black Purple Orange Orange Yellow Black
Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black Green Red Red Yellow Black
Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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

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

```
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Black Black Green Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Orange Yellow Red Red Yellow Orange Pink Black Black Blue Blue Blue Blue Black Black Black Black Black
Black Black Orange Orange Gray Blue Yellow Yellow Orange Black Black Blue Yellow Yellow Blue Black Black Black Black Black
Black Black Brown Green Yellow Blue Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Black Black Black Black
Black Black Orange Orange Gray Blue Yellow Yellow Orange Black Black Black Blue Blue Black Black Black Black Black Black
Black Black Orange Yellow Red Red Yellow Orange Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Yellow Yellow Green Black Black Black Black Black Purple Purple Purple Black Black Black
Black Red Red Purple Black Black Gray Yellow Yellow Brown Brown Brown Black Black Purple Blue Black Black Black Black
Black Brown Purple Purple Purple Black Blue Blue Blue Brown Green Brown Black Black Purple Purple Black Black Black Black
Black Yellow Yellow Yellow Purple Black Black Blue Blue Black Green Black Black Black Purple Blue Black Black Black Black
Black Yellow Pink Yellow Purple Gray Black Black Black Black Green Black Black Black Purple Purple Purple Black Black Black
Black Yellow Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Brown Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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