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

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

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