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 Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Blue Black 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 Yellow Black Black Black Black Black Black Black Black
Black Brown Black Black Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black

Output:
Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue
Blue Blue Yellow Yellow Yellow Blue Blue Black Blue Blue Blue
Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue
Blue Blue Yellow Yellow Black Yellow Yellow Blue Blue Blue Blue
Blue Blue Blue Blue Yellow Purple Purple Blue Blue Blue Blue
Blue Black Blue Black Purple Black Purple Purple Purple Purple Purple
Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple
Blue Blue Yellow Blue Brown Purple Purple Purple Purple Purple Purple
Yellow Yellow Black Yellow Brown Brown Brown Brown Brown Brown Brown
Brown Black Yellow Brown Black Brown Brown Brown Brown Brown Brown
Brown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Black Black Black Black Black
Black Black Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black Black
Black Green Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black 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

Output:
Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange
Purple Purple Purple Purple Purple Orange Orange Black Orange Orange Orange Orange Orange
Purple Purple Purple Black Purple Purple Orange Orange Orange Orange Orange Orange Orange
Green Green Purple Purple Purple Orange Black Orange Orange Orange Orange Orange Orange
Green Black Green Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange
Green Green Green Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 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 Gray Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Pink Black Black Black
Black Black Black Pink Black Yellow Black Black Black Black Black Pink Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Pink Pink Pink Pink Yellow Yellow Blue Blue Gray Gray Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Blue Blue Gray Gray Yellow Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Blue Blue Gray Gray Yellow Yellow Black Yellow
Pink Pink Pink Pink Yellow Yellow Blue Blue Gray Gray Gray Yellow Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Blue Blue Gray Black Gray Gray Yellow Yellow
Pink Pink Pink Pink Yellow Yellow Blue Black Blue Gray Black Pink Pink Pink
Pink Pink Pink Black Yellow Black Yellow Blue Blue Gray Pink Black Pink Pink
Pink Pink Pink Pink Green Black Green Blue Blue Gray Pink Pink Pink Pink
Pink Pink Pink Pink Green Green Black Blue Blue Blue Pink Pink Pink Pink
Pink Pink Pink Pink Green Green Blue Blue Blue Blue Pink Pink Pink Pink


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 Blue Black
Black Black Black Black Black Gray Black Black Red Black Black Black
Black Black Red Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black 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


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 Red Gray Gray Gray Gray Red Red Blue Blue Blue
Red Red Red Gray Gray Gray Gray Red Red Blue Blue Blue
Red Red Red Gray Gray Gray Gray Red Red Blue Blue Blue
Red Red Red Gray Gray Gray Gray Red Red Blue Blue Blue
Red Red Red Gray Gray Gray Gray Red Red Blue Black Blue
Red Red Red Gray Gray Black Gray Red Black Red Blue Blue
Red Red Black Red Purple Black Purple Red Red Red Blue Blue
Red Red Red Red Purple Black Purple Purple Red Red Brown Brown
Gray Gray Gray Gray Purple Purple Purple Purple Red Brown Brown Brown
Gray Gray Black Gray Gray Purple Purple Brown Brown Brown Black Brown
Gray Gray Gray Gray Gray Purple Purple Brown Brown Brown Brown Brown
Gray Gray Gray Gray Gray Purple Purple Brown Brown Brown Brown Brown
```
assistant