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:
Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Brown Brown Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue
Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Brown Brown Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Purple Purple Black Black Blue Blue Black Black
Purple Purple Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Purple Purple Black Black Blue Blue Black Black
Brown Brown Yellow Yellow Blue Blue Blue Blue Brown Brown Black Black Black Black Blue Blue Brown Brown Black Black Blue Blue
Brown Brown Yellow Yellow Blue Blue Blue Blue Brown Brown Black Black Black Black Blue Blue Brown Brown Black Black Blue Blue
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Purple Purple Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Purple Purple Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue
Black Black Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Purple Purple Yellow Yellow Black Black Blue Blue Black Black
Black Black Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Purple Purple Yellow Yellow Black Black Blue Blue Black Black
Brown Brown Blue Blue Black Black Yellow Yellow Purple Purple Black Black Purple Purple Brown Brown Purple Purple Yellow Yellow Yellow Yellow
Brown Brown Blue Blue Black Black Yellow Yellow Purple Purple Black Black Purple Purple Brown Brown Purple Purple Yellow Yellow Yellow Yellow
Gray Gray Brown Brown Brown Brown Yellow Yellow Brown Brown Blue Blue Black Black Brown Brown Blue Blue Yellow Yellow Gray Gray
Gray Gray Brown Brown Brown Brown Yellow Yellow Brown Brown Blue Blue Black Black Brown Brown Blue Blue Yellow Yellow Gray Gray
Purple Purple Purple Purple Yellow Yellow Black Black Brown Brown Purple Purple Brown Brown Brown Brown Blue Blue Brown Brown Yellow Yellow
Purple Purple Purple Purple Yellow Yellow Black Black Brown Brown Purple Purple Brown Brown Brown Brown Blue Blue Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Black Black Gray Gray Brown Brown Black Black Gray Gray Purple Purple Purple Purple Blue Blue Purple Purple
Yellow Yellow Brown Brown Black Black Gray Gray Brown Brown Black Black Gray Gray Purple Purple Purple Purple Blue Blue Purple Purple

Output:
Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Brown Brown Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue
Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Brown Brown Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue
Purple Purple Blue Blue Yellow Yellow Yellow Yellow Brown Brown Purple Purple Blue Blue Purple Purple Purple Purple Blue Blue Purple Purple
Purple Purple Blue Blue Yellow Yellow Yellow Yellow Brown Brown Purple Purple Blue Blue Purple Purple Purple Purple Blue Blue Purple Purple
Brown Brown Yellow Yellow Blue Blue Blue Blue Brown Brown Brown Brown Gray Gray Blue Blue Brown Brown Blue Blue Blue Blue
Brown Brown Yellow Yellow Blue Blue Blue Blue Brown Brown Brown Brown Gray Gray Blue Blue Brown Brown Blue Blue Blue Blue
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Yellow Yellow Purple Purple Yellow Yellow Blue Blue
Blue Blue Yellow Yellow Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Yellow Yellow Purple Purple Yellow Yellow Blue Blue
Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple
Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple
Brown Brown Blue Blue Brown Brown Yellow Yellow Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple Yellow Yellow Yellow Yellow
Brown Brown Blue Blue Brown Brown Yellow Yellow Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple Yellow Yellow Yellow Yellow
Gray Gray Brown Brown Brown Brown Yellow Yellow Brown Brown Blue Blue Gray Gray Brown Brown Blue Blue Yellow Yellow Gray Gray
Gray Gray Brown Brown Brown Brown Yellow Yellow Brown Brown Blue Blue Gray Gray Brown Brown Blue Blue Yellow Yellow Gray Gray
Purple Purple Purple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Brown Brown Blue Blue Brown Brown Yellow Yellow
Purple Purple Purple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Brown Brown Blue Blue Brown Brown Yellow Yellow
Yellow Yellow Brown Brown Yellow Yellow Gray Gray Brown Brown Yellow Yellow Gray Gray Purple Purple Purple Purple Blue Blue Purple Purple
Yellow Yellow Brown Brown Yellow Yellow Gray Gray Brown Brown Yellow Yellow Gray Gray Purple Purple Purple Purple Blue Blue Purple Purple


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

Output:
Green Green Gray Gray Gray Gray Purple Purple Green Green Green Green Orange Orange Green Green Purple Purple
Green Green Gray Gray Gray Gray Purple Purple Green Green Green Green Orange Orange Green Green Purple Purple
Green Green Orange Orange Green Green Orange Orange Purple Purple Green Green Pink Pink Purple Purple Green Green
Green Green Orange Orange Green Green Orange Orange Purple Purple Green Green Pink Pink Purple Purple Green Green
Pink Pink Pink Pink Pink Pink Green Green Orange Orange Pink Pink Green Green Purple Purple Purple Purple
Pink Pink Pink Pink Pink Pink Green Green Orange Orange Pink Pink Green Green Purple Purple Purple Purple
Orange Orange Orange Orange Green Green Purple Purple Orange Orange Purple Purple Pink Pink Pink Pink Green Green
Orange Orange Orange Orange Green Green Purple Purple Orange Orange Purple Purple Pink Pink Pink Pink Green Green
Green Green Gray Gray Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green
Green Green Gray Gray Purple Purple Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Green Green
Pink Pink Gray Gray Green Green Pink Pink Orange Orange Pink Pink Purple Purple Pink Pink Pink Pink
Pink Pink Gray Gray Green Green Pink Pink Orange Orange Pink Pink Purple Purple Pink Pink Pink Pink
Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Gray Gray
Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Gray Gray
Green Green Green Green Gray Gray Purple Purple Purple Purple Green Green Purple Purple Orange Orange Purple Purple
Green Green Green Green Gray Gray Purple Purple Purple Purple Green Green Purple Purple Orange Orange Purple Purple
Orange Orange Green Green Gray Gray Green Green Orange Orange Purple Purple Purple Purple Pink Pink Green Green
Orange Orange Green Green Gray Gray Green Green Orange Orange Purple Purple Purple Purple Pink Pink Green Green
Green Green Gray Gray Gray Gray Orange Orange Orange Orange Green Green Purple Purple Green Green Green Green
Green Green Gray Gray Gray Gray Orange Orange Orange Orange Green Green Purple Purple Green Green Green Green


Example 3
Input:
Blue Blue Black Black Gray Gray Yellow Yellow Pink Pink Pink Pink Black Black Pink Pink Blue Blue Gray Gray
Blue Blue Black Black Gray Gray Yellow Yellow Pink Pink Pink Pink Black Black Pink Pink Blue Blue Gray Gray
Yellow Yellow Pink Pink Black Black Green Green Blue Blue Blue Blue Gray Gray Blue Blue Black Black Yellow Yellow
Yellow Yellow Pink Pink Black Black Green Green Blue Blue Blue Blue Gray Gray Blue Blue Black Black Yellow Yellow
Green Green Green Green Gray Gray Green Green Blue Blue Pink Pink Pink Pink Green Green Pink Pink Gray Gray
Green Green Green Green Gray Gray Green Green Blue Blue Pink Pink Pink Pink Green Green Pink Pink Gray Gray
Pink Pink Gray Gray Pink Pink Gray Gray Blue Blue Black Black Gray Gray Green Green Blue Blue Pink Pink
Pink Pink Gray Gray Pink Pink Gray Gray Blue Blue Black Black Gray Gray Green Green Blue Blue Pink Pink
Pink Pink Gray Gray Green Green Green Green Gray Gray Green Green Green Green Gray Gray Black Black Blue Blue
Pink Pink Gray Gray Green Green Green Green Gray Gray Green Green Green Green Gray Gray Black Black Blue Blue
Black Black Green Green Gray Gray Gray Gray Pink Pink Black Black Green Green Green Green Blue Blue Gray Gray
Black Black Green Green Gray Gray Gray Gray Pink Pink Black Black Green Green Green Green Blue Blue Gray Gray
Black Black Black Black Gray Gray Black Black Blue Blue Gray Gray Pink Pink Green Green Black Black Blue Blue
Black Black Black Black Gray Gray Black Black Blue Blue Gray Gray Pink Pink Green Green Black Black Blue Blue
Pink Pink Blue Blue Blue Blue Black Black Pink Pink Black Black Green Green Green Green Pink Pink Green Green
Pink Pink Blue Blue Blue Blue Black Black Pink Pink Black Black Green Green Green Green Pink Pink Green Green
Blue Blue Pink Pink Black Black Black Black Black Black Blue Blue Pink Pink Gray Gray Green Green Blue Blue
Blue Blue Pink Pink Black Black Black Black Black Black Blue Blue Pink Pink Gray Gray Green Green Blue Blue
Gray Gray Gray Gray Black Black Yellow Yellow Pink Pink Blue Blue Green Green Black Black Black Black Green Green
Gray Gray Gray Gray Black Black Yellow Yellow Pink Pink Blue Blue Green Green Black Black Black Black Green Green

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


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


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