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

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


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

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


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

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


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