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

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


Example 2
Input:
Black Black Gray Gray Gray Gray Green Green Black Black Black Black Black Black Black
Black Black Gray Red Red Gray Red Gray Gray Gray Gray Black Black Black Black
Black Black Gray Brown Brown Brown Brown Gray Green Green Gray Black Black Black Black
Black Black Gray Brown Orange Orange Brown Gray Green Green Gray Black Black Black Black
Black Black Black Brown Orange Orange Brown Gray Green Green Gray Black Black Black Black
Black Black Black Brown Orange Orange Brown Gray Gray Gray Gray Black Black Black Black
Black Black Black Brown Orange Orange Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Purple Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple 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 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 Gray Gray Gray Gray Green Green Black Black Black Black Black Black Black
Black Black Gray Red Red Gray Red Gray Gray Gray Gray Red Red Black Black
Black Black Gray Brown Brown Brown Brown Gray Green Green Gray Red Red Black Black
Black Black Gray Brown Orange Orange Brown Gray Green Green Gray Red Red Black Black
Black Black Black Brown Orange Orange Brown Gray Green Green Gray Red Red Black Black
Black Black Black Brown Orange Orange Brown Gray Gray Gray Gray Red Red Black Black
Black Black Black Brown Orange Orange Brown Brown Brown Brown Purple Red Red Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Purple Red Red Black Black
Black Black Black Black Black Purple Brown Brown Brown Brown Purple Red Red Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Green Green Green Green Green Blue Green Green Blue Black Black Black Black Black Black
Green Blue Blue Blue Blue Blue Green Green Blue Black Black Black Black Black Black
Green Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black
Green Green Green 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 Black Black
Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Brown Gray Gray Brown Black Black Black Black Black Black Black Black
Black Black Black Brown Gray Gray Brown Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Brown Black Black Black Black Black Black Black Black
Black Green Orange Orange Orange Green Brown Black Black Black Black Black Black Black Black
Black Green Orange Orange Orange Green Brown Black Black Black Black Black Black Black Black
Black Green Green 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 Black Black

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


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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Black Yellow Brown Brown Brown Brown Yellow Orange Orange Orange Black Black Black Black Black
Black Yellow Brown Brown Brown Brown Yellow Green Green Yellow Black Black Black Black Black
Black Yellow Brown Brown Brown Brown Yellow Green Green Yellow Black Black Black Black Black
Black Yellow Brown Brown Brown Brown Yellow Orange Orange Yellow Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Brown Brown Brown Brown Brown Black Yellow Black Black Black Black Black Black Black Black
Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Brown Blue Green Green Green Green Yellow Black Black Black Black Black Black Black Black
Brown Blue Green Green Green Green Yellow Black Black Black Black Black Black Black Black
Brown Blue Blue Blue Blue Blue Yellow Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Black 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