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 Brown Purple Blue Blue Brown Purple Purple Brown Purple Blue Brown Blue Blue Blue Yellow Blue
Yellow Purple Brown Purple Purple Blue Blue Blue Yellow Blue Blue Blue Brown Blue Purple Purple Blue
Brown Purple Yellow Yellow Purple Yellow Yellow Purple Purple Brown Blue Purple Yellow Brown Brown Brown Yellow
Yellow Blue Brown Purple Purple Blue Yellow Blue Purple Yellow Yellow Blue Purple Purple Brown Yellow Purple
Blue Yellow Brown Purple Yellow Brown Blue Purple Yellow Blue Yellow Brown Brown Yellow Purple Yellow Purple
Blue Brown Yellow Brown Yellow Yellow Blue Blue Purple Yellow Blue Blue Purple Blue Brown Brown Brown
Brown Yellow Brown Brown Purple Yellow Yellow Blue Blue Yellow Purple Purple Purple Blue Brown Blue Blue
Brown Purple Blue Purple Yellow Purple Purple Purple Brown Blue Purple Blue Brown Yellow Purple Blue Brown
Brown Yellow Purple Brown Purple Brown Yellow Brown Brown Blue Blue Yellow Blue Yellow Yellow Purple Purple
Yellow Purple Purple Brown Yellow Blue Blue Purple Brown Blue Yellow Yellow Brown Brown Purple Yellow Purple
Purple Blue Yellow Yellow Brown Brown Purple Brown Blue Purple Yellow Blue Purple Blue Yellow Purple Purple
Yellow Purple Purple Blue Purple Blue Yellow Yellow Purple Brown Blue Purple Yellow Blue Yellow Yellow Blue
Purple Blue Blue Yellow Brown Blue Blue Purple Brown Blue Blue Yellow Purple Brown Brown Brown Yellow

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


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

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


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

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


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

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