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

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


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

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


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

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


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