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

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


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

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


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

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


Here is the input grid for the test example:
Input:
Red Gray Red Brown Gray Gray Red Red Brown Black Black Black Black Black Black Black Black Black Black
Red Gray Red Red Red Brown Red Red Brown Black Black Black Black Black Black Black Black Black Black
Gray Gray Brown Brown Red Gray Gray Brown Red Black Black Black Black Black Black Black Black Black Black
Red Gray Red Brown Gray Brown Gray Red Brown Black Black Black Black Black Black Black Black Black Black
Gray Red Gray Brown Gray Gray Gray Brown Gray Black Black Black Black Black Black Black Black Black Black
Red Gray Brown Gray Brown Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
Red Gray Red Brown Brown Red Gray Brown Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Red Red Brown Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black
Red Gray Brown Gray Gray Gray Brown Red Gray Black Black Black Black Black Black Black Black Black Black
Red Gray Brown Gray Gray Gray Brown Red Gray Black Black Black Black Black Black Black Black Black Black
Red Gray Brown Gray Gray Gray Brown Red Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Red Red Brown Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black
Red Gray Red Brown Brown Red Gray Brown Gray Black Black Black Black Black Black Black Black Black Black
Red Gray Brown Gray Brown Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
Gray Red Gray Brown Gray Gray Gray Brown Gray Black Black Black Black Black Black Black Black Black Black
Red Gray Red Brown Gray Brown Gray Red Brown Black Black Black Black Black Black Black Black Black Black
Gray Gray Brown Brown Red Gray Gray Brown Red Black Black Black Black Black Black Black Black Black Black
Red Gray Red Red Red Brown Red Red Brown Black Black Black Black Black Black Black Black Black Black
Red Gray Red Brown Gray Gray Red Red Brown 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 Gray Red Brown Gray Gray Red Red Brown Black Brown Red Red Gray Gray Brown Red Gray Red
Red Gray Red Red Red Brown Red Red Brown Black Brown Red Red Brown Red Red Red Gray Red
Gray Gray Brown Brown Red Gray Gray Brown Red Black Red Brown Gray Gray Red Brown Brown Gray Gray
Red Gray Red Brown Gray Brown Gray Red Brown Black Brown Red Gray Brown Gray Brown Red Gray Red
Gray Red Gray Brown Gray Gray Gray Brown Gray Black Gray Brown Gray Gray Gray Brown Gray Red Gray
Red Gray Brown Gray Brown Gray Brown Brown Brown Black Brown Brown Brown Gray Brown Gray Brown Gray Red
Red Gray Red Brown Brown Red Gray Brown Gray Black Gray Brown Gray Red Brown Brown Red Gray Red
Gray Gray Red Red Brown Gray Gray Brown Brown Black Brown Brown Gray Gray Brown Red Red Gray Gray
Red Gray Brown Gray Gray Gray Brown Red Gray Black Gray Red Brown Gray Gray Gray Brown Gray Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Gray Brown Gray Gray Gray Brown Red Gray Black Gray Red Brown Gray Gray Gray Brown Gray Red
Gray Gray Red Red Brown Gray Gray Brown Brown Black Brown Brown Gray Gray Brown Red Red Gray Gray
Red Gray Red Brown Brown Red Gray Brown Gray Black Gray Brown Gray Red Brown Brown Red Gray Red
Red Gray Brown Gray Brown Gray Brown Brown Brown Black Brown Brown Brown Gray Brown Gray Brown Gray Red
Gray Red Gray Brown Gray Gray Gray Brown Gray Black Gray Brown Gray Gray Gray Brown Gray Red Gray
Red Gray Red Brown Gray Brown Gray Red Brown Black Brown Red Gray Brown Gray Brown Red Gray Red
Gray Gray Brown Brown Red Gray Gray Brown Red Black Red Brown Gray Gray Red Brown Brown Gray Gray
Red Gray Red Red Red Brown Red Red Brown Black Brown Red Red Brown Red Red Red Gray Red
Red Gray Red Brown Gray Gray Red Red Brown Black Brown Red Red Gray Gray Brown Red Gray Red
```
assistant