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:
Red Red Red Red Red Red Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Red Red Red Red Red Red
Red Red Red Red Red Red Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Red Red Red Red Red Red
Red Red Red Red Red Red Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Red Red Red Red Red Red
Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red
Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red
Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red 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
Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red
Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red
Red Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Red Red Red
Red Red Red Red Red Red Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Red Red Red Red Red Red
Red Red Red Red Red Red Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Red Red Red Red Red Red
Red Red Red Red Red Red Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Red Red Red Red Red Red

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

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

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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray
Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green
Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green
Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green
Gray Gray Gray Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray
Gray Gray Gray Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray
Gray Gray Gray Pink Pink Pink Black Black Black Pink Pink Pink Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray


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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black 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
Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black
```
assistant