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:
Blue Purple Brown Purple Blue Brown Purple Purple Red Blue Brown Blue Purple Blue
Gray Purple Brown Gray Red Blue Purple Blue Purple Brown Purple Brown Gray Gray
Blue Brown Purple Brown Blue Brown Purple Brown Purple Blue Blue Purple Purple Gray
Purple Brown Purple Blue Brown Red Gray Brown Brown Purple Red Brown Purple Purple
Purple Gray Red Gray Red Gray Blue Gray Purple Blue Purple Purple Brown Purple
Red Brown Red Brown Gray Purple Purple Brown Blue Brown Purple Purple Red Gray
Purple Blue Brown Gray Purple Red Brown Red Blue Blue Brown Brown Blue Brown
Purple Gray Purple Purple Gray Gray Brown Purple Red Gray Gray Brown Brown Black
Purple Purple Gray Blue Blue Red Blue Gray Red Gray Blue Purple Brown Blue
Brown Blue Red Blue Purple Blue Blue Brown Red Blue Blue Red Brown Red
Gray Blue Blue Blue Brown Purple Red Brown Blue Brown Blue Purple Blue Brown
Brown Blue Purple Gray Blue Gray Gray Blue Purple Black Gray Gray Purple Blue
Blue Red Blue Blue Brown Gray Purple Purple Brown Gray Gray Blue Blue Purple
Blue Brown Purple Gray Blue Blue Purple Red Red Brown Purple Brown Blue Blue

Output:
Black Purple Brown Purple Black Brown Purple Purple Red Black Brown Black Purple Black
Gray Purple Brown Gray Red Black Purple Black Purple Brown Purple Brown Gray Gray
Black Brown Purple Brown Black Brown Purple Brown Purple Black Black Purple Purple Gray
Purple Brown Purple Black Brown Red Gray Brown Brown Purple Red Brown Purple Purple
Purple Gray Red Gray Red Gray Black Gray Purple Black Purple Purple Brown Purple
Red Brown Red Brown Gray Purple Purple Brown Black Brown Purple Purple Red Gray
Purple Black Brown Gray Purple Red Brown Red Black Black Brown Brown Black Brown
Purple Gray Purple Purple Gray Gray Brown Purple Red Gray Gray Brown Brown Black
Purple Purple Gray Black Black Red Black Gray Red Gray Black Purple Brown Black
Brown Black Red Black Purple Black Black Brown Red Black Black Red Brown Red
Gray Black Black Black Brown Purple Red Brown Black Brown Black Purple Black Brown
Brown Black Purple Gray Black Gray Gray Black Purple Black Gray Gray Purple Black
Black Red Black Black Brown Gray Purple Purple Brown Gray Gray Black Black Purple
Black Brown Purple Gray Black Black Purple Red Red Brown Purple Brown Black Black


Example 2
Input:
Red Blue Blue Brown Blue Black Black Blue Yellow Blue Brown Yellow Red Blue
Blue Red Red Black Yellow Brown Gray Brown Gray Gray Brown Blue Red Yellow
Blue Blue Red Brown Red Blue Yellow Blue Brown Brown Red Blue Blue Gray
Brown Black Gray Brown Black Blue Brown Blue Yellow Brown Black Black Yellow Yellow
Gray Red Yellow Gray Black Black Blue Blue Red Gray Gray Black Brown Blue
Gray Blue Blue Gray Black Brown Red Gray Yellow Gray Brown Blue Brown Yellow
Brown Black Blue Gray Brown Yellow Blue Brown Brown Red Gray Yellow Brown Black
Black Black Yellow Brown Brown Blue Black Blue Red Blue Brown Gray Yellow Yellow
Yellow Yellow Yellow Blue Red Yellow Blue Blue Blue Red Blue Brown Brown Yellow
Black Brown Blue Red Gray Blue Blue Red Blue Brown Blue Brown Yellow Gray
Red Brown Brown Brown Blue Red Red Red Yellow Red Black Blue Red Blue
Blue Gray Blue Black Yellow Yellow Yellow Blue Blue Red Blue Brown Gray Yellow
Yellow Blue Red Brown Yellow Blue Brown Gray Blue Brown Blue Gray Red Blue
Yellow Yellow Brown Blue Brown Blue Red Brown Brown Red Blue Brown Blue Brown
Red Blue Red Blue Gray Red Gray Brown Blue Red Blue Black Yellow Blue
Red Blue Yellow Brown Brown Yellow Yellow Black Gray Brown Black Brown Blue Brown
Brown Blue Gray Yellow Black Black Yellow Blue Blue Blue Yellow Brown Blue Yellow

Output:
Red Blue Blue Brown Blue Black Black Blue Black Blue Brown Black Red Blue
Blue Red Red Black Black Brown Gray Brown Gray Gray Brown Blue Red Black
Blue Blue Red Brown Red Blue Black Blue Brown Brown Red Blue Blue Gray
Brown Black Gray Brown Black Blue Brown Blue Black Brown Black Black Black Black
Gray Red Black Gray Black Black Blue Blue Red Gray Gray Black Brown Blue
Gray Blue Blue Gray Black Brown Red Gray Black Gray Brown Blue Brown Black
Brown Black Blue Gray Brown Black Blue Brown Brown Red Gray Black Brown Black
Black Black Black Brown Brown Blue Black Blue Red Blue Brown Gray Black Black
Black Black Black Blue Red Black Blue Blue Blue Red Blue Brown Brown Black
Black Brown Blue Red Gray Blue Blue Red Blue Brown Blue Brown Black Gray
Red Brown Brown Brown Blue Red Red Red Black Red Black Blue Red Blue
Blue Gray Blue Black Black Black Black Blue Blue Red Blue Brown Gray Black
Black Blue Red Brown Black Blue Brown Gray Blue Brown Blue Gray Red Blue
Black Black Brown Blue Brown Blue Red Brown Brown Red Blue Brown Blue Brown
Red Blue Red Blue Gray Red Gray Brown Blue Red Blue Black Black Blue
Red Blue Black Brown Brown Black Black Black Gray Brown Black Brown Blue Brown
Brown Blue Gray Black Black Black Black Blue Blue Blue Black Brown Blue Black


Example 3
Input:
Purple Purple Blue Gray Brown Gray Brown Brown Purple Brown Pink Blue Blue Black Blue Brown Black Brown
Pink Black Brown Pink Pink Pink Brown Brown Purple Pink Blue Gray Black Gray Blue Blue Pink Brown
Purple Brown Pink Pink Blue Purple Black Blue Pink Purple Gray Pink Purple Brown Brown Pink Brown Gray
Gray Blue Pink Pink Brown Pink Black Blue Pink Blue Brown Blue Brown Pink Pink Brown Gray Brown
Brown Pink Purple Black Pink Brown Pink Pink Brown Blue Gray Gray Pink Brown Pink Blue Brown Pink
Blue Gray Brown Pink Pink Brown Pink Brown Gray Blue Brown Brown Black Blue Black Brown Pink Brown
Pink Gray Pink Pink Gray Purple Pink Pink Pink Purple Brown Gray Pink Pink Brown Black Brown Black
Blue Blue Brown Brown Pink Blue Blue Gray Blue Brown Pink Pink Brown Blue Pink Blue Blue Blue
Gray Pink Blue Pink Black Pink Purple Pink Purple Brown Pink Brown Brown Blue Black Brown Black Brown
Purple Purple Pink Pink Blue Purple Black Black Blue Blue Blue Black Purple Gray Brown Black Pink Blue
Pink Pink Pink Brown Brown Brown Purple Gray Brown Brown Pink Brown Gray Brown Purple Purple Brown Brown
Brown Gray Brown Purple Blue Brown Pink Purple Pink Brown Brown Brown Purple Purple Brown Pink Pink Brown
Pink Brown Blue Brown Black Pink Black Brown Pink Purple Pink Blue Blue Brown Brown Brown Pink Black
Black Brown Blue Pink Pink Pink Black Pink Blue Blue Black Pink Pink Blue Black Pink Pink Pink
Purple Pink Brown Pink Black Gray Gray Pink Blue Pink Pink Pink Gray Pink Brown Pink Black Gray
Brown Pink Purple Black Gray Brown Purple Brown Pink Pink Pink Brown Purple Black Gray Purple Pink Brown
Pink Blue Black Blue Black Pink Pink Pink Purple Brown Pink Blue Purple Gray Black Black Pink Gray
Gray Brown Purple Pink Gray Blue Brown Pink Blue Gray Pink Brown Purple Purple Blue Gray Black Gray

Output:
Purple Purple Blue Black Brown Black Brown Brown Purple Brown Pink Blue Blue Black Blue Brown Black Brown
Pink Black Brown Pink Pink Pink Brown Brown Purple Pink Blue Black Black Black Blue Blue Pink Brown
Purple Brown Pink Pink Blue Purple Black Blue Pink Purple Black Pink Purple Brown Brown Pink Brown Black
Black Blue Pink Pink Brown Pink Black Blue Pink Blue Brown Blue Brown Pink Pink Brown Black Brown
Brown Pink Purple Black Pink Brown Pink Pink Brown Blue Black Black Pink Brown Pink Blue Brown Pink
Blue Black Brown Pink Pink Brown Pink Brown Black Blue Brown Brown Black Blue Black Brown Pink Brown
Pink Black Pink Pink Black Purple Pink Pink Pink Purple Brown Black Pink Pink Brown Black Brown Black
Blue Blue Brown Brown Pink Blue Blue Black Blue Brown Pink Pink Brown Blue Pink Blue Blue Blue
Black Pink Blue Pink Black Pink Purple Pink Purple Brown Pink Brown Brown Blue Black Brown Black Brown
Purple Purple Pink Pink Blue Purple Black Black Blue Blue Blue Black Purple Black Brown Black Pink Blue
Pink Pink Pink Brown Brown Brown Purple Black Brown Brown Pink Brown Black Brown Purple Purple Brown Brown
Brown Black Brown Purple Blue Brown Pink Purple Pink Brown Brown Brown Purple Purple Brown Pink Pink Brown
Pink Brown Blue Brown Black Pink Black Brown Pink Purple Pink Blue Blue Brown Brown Brown Pink Black
Black Brown Blue Pink Pink Pink Black Pink Blue Blue Black Pink Pink Blue Black Pink Pink Pink
Purple Pink Brown Pink Black Black Black Pink Blue Pink Pink Pink Black Pink Brown Pink Black Black
Brown Pink Purple Black Black Brown Purple Brown Pink Pink Pink Brown Purple Black Black Purple Pink Brown
Pink Blue Black Blue Black Pink Pink Pink Purple Brown Pink Blue Purple Black Black Black Pink Black
Black Brown Purple Pink Black Blue Brown Pink Blue Black Pink Brown Purple Purple Blue Black Black Black


Here is the input grid for the test example:
Input:
Gray Gray Gray Purple Yellow Black Gray Yellow Gray Yellow Purple Red
Yellow Yellow Yellow Gray Gray Purple Yellow Gray Brown Purple Purple Brown
Black Red Yellow Purple Red Yellow Yellow Purple Yellow Gray Purple Gray
Red Yellow Yellow Red Brown Brown Yellow Purple Yellow Brown Yellow Red
Gray Brown Yellow Gray Yellow Yellow Yellow Gray Red Yellow Brown Brown
Red Purple Yellow Yellow Gray Yellow Yellow Red Red Gray Yellow Yellow
Brown Yellow Red Gray Red Gray Purple Purple Yellow Yellow Yellow Yellow
Gray Black Red Purple Purple Yellow Purple Red Yellow Brown Gray Purple
Purple Brown Brown Yellow Purple Purple Purple Yellow Purple Red Gray Purple
Brown Yellow Yellow Yellow Yellow Purple Brown Red Yellow Gray Red Yellow
Purple Purple Yellow Purple Yellow Red Yellow Purple Gray Red Brown Brown
Purple Red Purple Gray Brown Brown Red Yellow Brown Red Purple Purple
Red Brown Yellow Brown Yellow Gray Purple Purple Purple Purple Red Yellow
Gray Gray Red Yellow Gray Purple Purple Purple Purple Purple Red Yellow
Red Yellow Gray Purple Purple Black Red Gray Purple Purple Brown Purple


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:

```
Gray Gray Gray Black Yellow Black Gray Yellow Gray Yellow Black Red
Yellow Yellow Yellow Gray Gray Black Yellow Gray Brown Black Black Brown
Black Red Yellow Black Red Yellow Yellow Black Yellow Gray Black Gray
Red Yellow Yellow Red Brown Brown Yellow Black Yellow Brown Yellow Red
Gray Brown Yellow Gray Yellow Yellow Yellow Gray Red Yellow Brown Brown
Red Black Yellow Yellow Gray Yellow Yellow Red Red Gray Yellow Yellow
Brown Yellow Red Gray Red Gray Black Black Yellow Yellow Yellow Yellow
Gray Black Red Black Black Yellow Black Red Yellow Brown Gray Black
Black Brown Brown Yellow Black Black Black Yellow Black Red Gray Black
Brown Yellow Yellow Yellow Yellow Black Brown Red Yellow Gray Red Yellow
Black Black Yellow Black Yellow Red Yellow Black Gray Red Brown Brown
Black Red Black Gray Brown Brown Red Yellow Brown Red Black Black
Red Brown Yellow Brown Yellow Gray Black Black Black Black Red Yellow
Gray Gray Red Yellow Gray Black Black Black Black Black Red Yellow
Red Yellow Gray Black Black Black Red Gray Black Black Brown Black
```
assistant