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

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


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

Output:
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green
Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green
Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green
Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green
Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green
Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green
Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green
Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green
Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange
Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red


Example 3
Input:
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange
Blue Gray Red Red Red Blue Black Red Red Red Blue Gray Red Red Red Blue Gray
Gray Gray Red Blue Gray Gray Black Black Black Gray Gray Gray Red Blue Gray Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Black Black Pink Gray Brown Yellow Gray Pink Gray Brown
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange
Blue Orange Black Brown Black Black Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange
Blue Gray Red Red Black Black Gray Red Red Red Blue Gray Red Red Red Blue Gray
Gray Gray Red Black Black Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray
Black Black Yellow Black Black Gray Black Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown
Black Black Purple Brown Orange Orange Black Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange
Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange
Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray Red Red Red Blue Gray
Gray Gray Red Blue Gray Gray Gray Red Blue Gray Gray Gray Black Blue Gray Gray Gray
Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink Gray Brown
Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange
Black Black Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange Brown Brown Purple Blue Orange

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


Here is the input grid for the test example:
Input:
Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Yellow Blue Blue Yellow Blue Black Black Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Yellow Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Blue Blue Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Black Yellow Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Blue
Blue Yellow Blue Blue Yellow Blue Blue Yellow Black Black Yellow Black Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Black Black Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue
Blue Blue Blue Blue Blue Blue 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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


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:

```
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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 Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow 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
```
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